Answer:
a) 10.38% probability that the sample mean will be more than 59 pounds.
b) 67.72% probability that the sample mean will be more than 56 pounds.
c) 22.10% probability that the sample mean will be between 56 and 57 pounds.
d) 1.46% probability that the sample mean will be less than 53 pounds.
e) 0% probability that the sample mean will be less than 49 pounds.
Step-by-step explanation:
To solve this question, we need to understand the normal probability distribution and the central limit theorem.
Normal probability distribution
Problems of normally distributed samples are solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
Central Limit Theorem
The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
In this question, we have that:
[tex]\mu = 56.8, \sigma = 12.2, n = 49, s = \frac{12.2}{\sqrt{49}} = 1.74285[/tex]
a. More than 59 pounds
This is 1 subtracted by the pvalue of Z when X = 59. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
By the Central Limit Theorem
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]Z = \frac{59 - 56.8}{1.74285}[/tex]
[tex]Z = 1.26[/tex]
[tex]Z = 1.26[/tex] has a pvalue of 0.8962.
1 - 0.8962 = 0.1038
10.38% probability that the sample mean will be more than 59 pounds.
b. More than 56 pounds
This is 1 subtracted by the pvalue of Z when X = 56. So
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]Z = \frac{56 - 56.8}{1.74285}[/tex]
[tex]Z = -0.46[/tex]
[tex]Z = -0.46[/tex] has a pvalue of 0.3228.
1 - 0.3228 = 0.6772
67.72% probability that the sample mean will be more than 56 pounds.
c. Between 56 and 57 pounds
This is the pvalue of Z when X = 57 subtracted by the pvalue of Z when X = 56. So
X = 57
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]Z = \frac{57 - 56.8}{1.74285}[/tex]
[tex]Z = 0.11[/tex]
[tex]Z = 0.11[/tex] has a pvalue of 0.5438
X = 56
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]Z = \frac{56 - 56.8}{1.74285}[/tex]
[tex]Z = -0.46[/tex]
[tex]Z = -0.46[/tex] has a pvalue of 0.3228.
0.5438 - 0.3228 = 0.2210
22.10% probability that the sample mean will be between 56 and 57 pounds.
d. Less than 53 pounds
This is the pvalue of Z when X = 53.
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]Z = \frac{53 - 56.8}{1.74285}[/tex]
[tex]Z = -2.18[/tex]
[tex]Z = -2.18[/tex] has a pvalue of 0.0146
1.46% probability that the sample mean will be less than 53 pounds.
e. Less than 49 pounds
This is the pvalue of Z when X = 49.
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]Z = \frac{49 - 56.8}{1.74285}[/tex]
[tex]Z = -4.48[/tex]
[tex]Z = -4.48[/tex] has a pvalue of 0.
0% probability that the sample mean will be less than 49 pounds.
what dose x equal 4x + 4 = -7 +2x +19
Answer:
[tex]x=4[/tex]
Step-by-step explanation:
[tex]4x + 4 = -7 +2x +19[/tex]
[tex]4x + 4 = 2x +12[/tex]
[tex]4x-2x=12-4[/tex]
[tex]2x=8[/tex]
[tex]x=8 \div 2[/tex]
[tex]x=4[/tex]
Step 1: Simplify both sides of the equation.
4x+4=−7+2x+19
4x+4=(2x)+(−7+19)(Combine Like Terms)
4x+4=2x+12
4x+4=2x+12
Step 2: Subtract 2x from both sides.
4x+4−2x=2x+12−2x
2x+4=12
Step 3: Subtract 4 from both sides.
2x+4−4=12−4
2x=8
Step 4: Divide both sides by 2.
2x/2 = 8/2
Description:
The first step is to Simplify both sides of the equation, when you do it correct and follow the steps above you equation will end up 4x+4=2x+12. For steps 2 Subtract 2x from both sides, when you do it correct your equation will end up like 2x+4=12. For step 3 you Subtract 4 from both sides, when you do it correct equation will end up like 2x=8. Last step is to Divide both sides by 2, when you do it correct your answer will come as x=4 .
Answer: x=4
Please mark brainliest
Hope this helps.
To estimate what percent of employees are at least 1 minute late for their work in the morning, a company put registers at the office entrance that could identify each employee and collect data about the time when they arrived at work. The company found that 18% of the employees are late. What is the sample and what is the population
Answer:
Population: all company employees.
Sample: arrival times of the employees during the data collection.
Step-by-step explanation:
In this case, the population is the group about which the company wants to estimate a parameter (proportion of employees who are at least 1 minute late for work). This group is all employees of the company.
The sample is comprised of the arrival times of the individuals who went to work during the data collection by the entry time recording machine. The proportion of the sample is calculated on these arrival times, with which the proportion of the population will be inferred.
A perfect square trinomial can be represented by a square model with equivalent length and width. Which polynomial can be represented by a perfect square model?
x2 – 6x + 9
x2 – 2x + 4
x2 + 5x + 10
x2 + 4x + 16
Answer:
A
Step-by-step explanation:
i got it right on the exam
In a restaurant 40% of the customers choose Chinese food while 65% opt for Pakistani food .if the restaurant is visited by 260 people then how many opt for both in quarter ? Ans is 39 please give the working ?
Answer:
13 ppl choose both
Step-by-step explanation:
Hello,
In a restaurant 40% of the customers choose Chinese food
while 65% opt for Pakistani food.
if the restaurant is visited by 260 people then how many opt for both ?
There are 260 people we need to compute
40% of 260 = 40*260/100 = 104 to know the customers choosing Chinese food
65% of 260 = 65 * 260/100 = 169 to know the customers choosing Pakistani food
There are ppl choosing both Chinese and Pakistani, let s note x
we can say that 104 + 169 -x = 260
so x = 273-260=13
in conclusion, 104-13=91 ppl choose Chinese food only
169-13=159 ppl choose Pakistani food only
13 ppl choose both
in total there are 91 + 159 + 13 = 260
hope this helps
The number of people who opt for both Chinese and Pakistani food is 13.
We have,
Let's denote the number of people who choose Chinese food as "C" and the number of people who choose Pakistani food as "P".
We are given that 40% of the customers choose Chinese food, which means
C = 40% of 260.
C = 0.4 * 260
C = 104
Similarly, we are given that 65% of the customers opt for Pakistani food, which means
P = 65% of 260.
P = 0.65 * 260
P = 169
Now, we need to determine the number of people who opt for both Chinese and Pakistani food.
To find this, we can use the principle of inclusion-exclusion.
The total number of people who opt for both is given by:
Total = C + P - Both
We know that the total number of customers is 260, so:
260 = 104 + 169 - Both
Rearranging the equation to solve for Both:
Both = 104 + 169 - 260
Both = 273 - 260
Both = 13
Therefore,
The number of people who opt for both Chinese and Pakistani food is 13.
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For a given rectangle, the length= 3x +2 and the width = 5. What is the area of the rectangle?
Answer:
15x+10
Step-by-step explanation:
The area of a rectangle is given by the formula ...
A = LW
Fill in the given values and simplify.
A = (3x+2)(5)
A = 15x +10
The area of the rectangle is 15x+10.
Answer:
[tex]15x + 10[/tex]
Step-by-step explanation:
[tex]area = length \times width \\ = 3x + 2 \times 5 \\ = 5(3x + 2) \\ = 15x + 10[/tex]
hope this helps
brainliest appreciated
good luck! have a nice day!
an acute angle can have all of the following measures except
Answer:
An acute angle is an angle that has a measure that is less than 90 degrees. Any measure that is less than 90 degrees could be an acute angle. For example, 8°, 15°, °26°, and 89° are all acute angles. Anything that is 90 degrees is a right angle and greater than 90 degrees is an obtuse angle. An acute angle can have all of the following measures except 90 degrees or greater than 90 degrees.
Answer:
0 is not an acute angle
Step-by-step explanation:
if the measurement of an angle is between 0 and 90 degrees then we called it an acute angle. it means acute angle is greater than 0 and less than 90 degrees. among the the other options it is between 0 and 90 therefore 0 is not it
hope this helps
IQ scores are measured with a test designed so that the mean is 116 and the standard deviation is 16. Consider the group of IQ scores that are unusual. What are the z scores that separate the unusual IQ scores from those that are usual? What are the IQ scores that separate the unusual IQ scores from those that are usual? (Consider a value to be unusual if its z score is less than minus2 or greater than 2.)
Answer:
So the z-scores that separate the unusual IQ scores from those that are usual are Z = -2 and Z = 2.
The IQ scores that separate the unusual IQ scores from those that are usual are 84 and 148.
Step-by-step explanation:
Problems of normally distributed samples are solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
In this question, we have that:
[tex]\mu = 116, \sigma = 16[/tex]
What are the z scores that separate the unusual IQ scores from those that are usual?
If Z<-2 or Z > 2, the IQ score is unusual.
So the z-scores that separate the unusual IQ scores from those that are usual are Z = -2 and Z = 2.
What are the IQ scores that separate the unusual IQ scores from those that are usual?
Those IQ scores are X when Z = -2 and X when Z = 2. So
Z = -2
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]-2 = \frac{X - 116}{16}[/tex]
[tex]X - 116 = -2*16[/tex]
[tex]X = 84[/tex]
Z = 2
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]2 = \frac{X - 116}{16}[/tex]
[tex]X - 116 = 2*16[/tex]
[tex]X = 148[/tex]
The IQ scores that separate the unusual IQ scores from those that are usual are 84 and 148.
Answer:
[tex]\mu -2*\sigma = 116-2*16= 84[/tex]
[tex]\mu +2*\sigma = 116+2*16= 148[/tex]
Step-by-step explanation:
We know that the distirbution for the IQ have the following parameters:
[tex]\mu=116, \sigma=16[/tex]
The z score is given by this formula
[tex] z = \frac{X -\mu}{\sigma}[/tex]
And replacing the limits we got:
[tex] X = \mu \pm z \sigma[/tex]
For this case we know that a value to be unusual if its z score is less than minus2 or greater than 2, so then we can find the limits with this formulas:
[tex]\mu -2*\sigma = 116-2*16= 84[/tex]
[tex]\mu +2*\sigma = 116+2*16= 148[/tex]
what is the quotient of 2/3 and 2/g ?
Rosalyn has three different-shaped containers that contain marbles. She has 3 round containers, each holding 16 marbles.
She has 4 square containers, each holding 25 marbles. She has 2 rectangular containers, each holding 33 marbles.
How many marbles are in the containers altogether?
Answer:
42,996
Step-by-step explanation:
3*16+4*25+2*33=48+100+66=214
where can we put parentheses in 19 - 3 times 5 to make it equivalent to 80
Answer:
(19-3)*5 = 80
Step-by-step explanation:
(19-3)*5 = 80
Parentheses first
16*5 = 80
80
Answer: (19 - 3) * 5 = 80
Check to see if this is right.
(19 - 3) * 5 = 80
16 * 5 = 80
80 = 80
Best of Luck!
find the sum of the equations: 1/(x-2)+3/(x+3)=4/(x^2+x-6)
Answer:
x= 7/4
Step-by-step explanation:
Find the LCM for x-2,x+3,x^2+x-6 which is (x-2) (x+3)
then multiply
A 100-gallon barrel, initially half-full of oil, develops a leak at the bottom. Let A(t) be the amount of oil in the barrel at time t. Suppose that the amount of oil is decreasing at a rate proportional to the product of the time elapsed and the amount of oil present in the barrel. The mathematical model is:___________.
(a) =kA, A(0) = 0
(b) A = ktA, A(O) = 50
(c) A tA, A(0) = 100
(d) A = két +A), A
(e) = 50 None of the above.
Answer:
the mathematical model is : [tex]-\frac{1}{A}= kt - \frac{1}{50}[/tex]
Step-by-step explanation:
Given that:
Let A(t) to be the amount of oil in the barrel at time t.
However; Suppose that the amount of oil is decreasing at a rate proportional to the product of the time elapsed and the amount of oil present in the barrel.
Then,
[tex]\frac{dA}{dt} \ \alpha \ A^2[/tex]
[tex]\frac{dA}{dt}= KA^2[/tex]
Initially the 100 -gallon barrel is half-full of oil
So, A(0) = 100/2 = 50
[tex]\frac{dA}{dt}= KA^2 \ \ \ \ \ \ :A(0)=50[/tex]
The variable is now being separated as:
[tex]\frac{dA}{A^2}=kdl[/tex]
Taking integral of both sides; we have:
[tex]\int\limits\frac{dA}{A^2}=\int\limits \ kdt[/tex]
[tex]-\frac{1}{A}= kt +C[/tex]
However; since A(0) = 50; Then
t = 0 ; A =50 in the above equation
[tex]-\frac{1}{50}= 0 +C[/tex]
[tex]C = - \frac{1}{50}[/tex]
Thus; the mathematical model is : [tex]-\frac{1}{A}= kt - \frac{1}{50}[/tex]
Please answer this question !! Thank you !! Will give brainliest !!
1. Joy bought jewelry at a crafts fair. She bought a necklace for $8 and
some bracelets for $5 each. She spent $23 in all. Write and solve equation
that can be used to find the number of bracelets she bought
Answer:
5y + 8 < 23 and y < 3
2c - 3 = 9
Step-by-step explanation:
She bought a jewelry at a craft fair . The necklace is $8 and the bracelet is $5 each. Her total expenses is $23.
She bought a single necklace. The number of bracelet she bought is unknown but each of the bracelet she bought is $5 each. The number of bracelet she bought can be represented below.
Let
y = number of bracelet bought
Therefore, the cost of the total number of bracelet will be 5y
Recall the total expenses is $23
5y + 8 < 23 and y < 3
if you insert the value of y in the following inequalities the resulting value should be less than 23 so the value of y should be less than 3.
2. 2c - 3 = 9
1. The function h is the sum of the functions f(x)=3x+5 and g(x)=2x^2 - 6x - 2. Which represents h? A.h(x) = 5x^2 - x - 2 B. h(x) = 2x^2 - 3x + 3 C. h(x) = 2x^2 - 9x + 7
D. h(x) = -3x + 3
Answer:
B. h(x) = 2x^2 - 3x + 3
Step-by-step explanation:
Given
f(x)=3x+5
g(x)=2x^2 - 6x - 2
h(x) is sum of the functions f(x) and g(x)
Thus,
h(x) = f(x) + g(x)
substituting value of f(x) and g(x) as given above we have
h(x) = 3x+5 + 2x^2 - 6x - 2
as ( 3x - 6x = -3x and 5- 2 = 3) , we have
h(x) = 2x^2 -3x + 3
Thus, correct answer is option B. h(x) = 2x^2 - 3x + 3.
Nathaniel wants to build 50 birds using Lego blocks. How many birdhouses can he build at most with the remaining Lego blocks? Graph your solution.
Answer:
18
Step-by-step explanation:
Even if we both break down tonight
And you say you hate me
And we go to bed angry
I know everything will be alright
I'll be here waiting
I promise I'm changing
I just need
A little time to show you I'm worth it
I know that I can be a difficult person
I'm a stress case drive you up the wall when I'm workin'
Actually I'm prolly worse when I'm not you don't deserve it
Make you nervous 'cause you know I'ma break soon
Every time I do I say something that hurts you
Actin' like I'm gone, but we both in the same room
I don't like to be wrong which I know you relate to
And I know I make you feel like you're at the end of your road
That's when I look at you and tell you I'd be better alone
That's just the pride talkin' isn't it cause both of us know
HELPPPPP ASAP I NEED IT I BEG OF U I DONT UNDERSTAND THIS PLSSSSSSSS
Ross walks every morning. He can cover 6 miles in 2 hours.
His speed is___
miles per hour. He can cover_____
more miles in 4 hours than he can in 3 hours.
Answer:
speed = distance ÷ time
6÷2 = 3
his speed is 3 miles per hour
he can cover 3 more miles....
Match each transformation of f(x) with its description. shifts f(x) 4 units down arrowRight compresses f(x) by a factor of toward the y-axis arrowRight stretches f(x) by a factor of 4 away from the x-axis arrowRight shifts f(x) 4 units right arrowRight
The different transformations have been matched to their respective operations below.
How to Interpret Transformations?Parent function is given as: f(x) = 2x - 6
Thus, the transformations are:
When f(x) shifts 4 units down, we have;
f(x) → f(x) - 4
⇒ g(x)= 2x - 6 - 4 = 2x - 10
When it stretches f(x) by a factor of 4 away from the x-axis;
f(x) → 4*f(x)
⇒ g(x) = 4(2x - 6) = 8x - 24
When it shifts f(x) 4 units right;
f(x) → f(x - 4)
⇒ g(x) = 2(x - 4) - 6 = 2x - 14
When it compresses f(x) by a factor of 4 toward the y-axis;
f(x) → f(4x)
⇒ g(x) = 2*4x - 6 = 8x - 6
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A student participates in a Coke versus Pepsi taste test. She correctly identifies which soda is which four times out of six tries. She claims that this proves that she can reliably tell the difference between the two soft drinks. You have studied statistics and you want to determine the probability of anyone getting at least four right out of six tries just by chance alone. Which of the following would provide an accurate estimate of that probability?
a. Have the student repeat this experiment many times and calculate the percentage time she correctly distinguishes between the brands.
b. Simulate this on the computer with a 50% chance of guessing the correct soft drink on each try, and calculate the percent of times there are four or more correct guesses out of six trials.
c. Repeat this experiment with a very large sample of people and calculate the percentage of people who make four correct guesses out of six tries.
Answer:
C.
Repeat this experiment with a very large sample of people and calculate the percentage of people who make four correct guesses out of six tries
Step-by-step explanation:
Why I choose the answer c is because for this kind of experiment to determine probability..it needs to be tested on variety of people as different people have different taste issue.
Trying it on one person alone will accumulate much error that will be very hard and uneasy to detect.
Para ir a visitar a los abuelos Paula y Mario se ponen de acuerdo en que Paula vaya cada 5 días y Mario cada 6 días. Si coincidieron el 24 de diciembre,
a) ¿Cuándo volvieron a coincidir?
b) ¿Cuántas visitas habrá hecho cada uno?
Answer:
a) January 24(24 de Enero)
b) Paula will have made 5 visits(Paula habrá hecho 5 visitas). Mario will have made 4 visits(Mario habrá hecho 4 visitas).
Step-by-step explanation:
When two events, A and B, happen every x and y days, respectively, they will happen on the same day in each lcm(x,y) days. lcm(x,y) is the lesser common multiple of x and y which is not 0.
In this question:
Paula each 5 days
Mario each 6 days
Multiples of 5: {0, 5, 10, 15, 20,25,30, ...}
Multiples of 6: {0, 6, 12, 18, 24, 30, ...}
a) ¿Cuándo volvieron a coincidir?
lcm(5,6) = 30
30 days from December 24, which is January 24(24 de Enero).
b) ¿Cuántas visitas habrá hecho cada uno?
Paula visits each 5 days.
30 is 6th non-zero multiple of 5. This means that on January 24 will be her 6th visit. So she will have made 5 visits.
30 is the 5th non-zero multiple of 6. This means that on January 24 will be her 5th visit. So he will have made 4 visits.
Two scientists are measuring the temperature of liquids in two beakers. Liquid A has a temperature of -105.4° C and Liquid B has a temperature of -10.83 ° C.
Which liquid is warmer and why?
Answer: Liquid B is warmer.
Step-by-step explanation:
The data that we have is:
Temperature A = -105.4° C
Temperature B = -10.83° C
We want to know which liquid is warmer, this is equivalent to see which temperature is bigger, Ta or Tb.
Now, you can see that temperature A is larger in module, but this is a negative number.
When we work with negative numbers, the bigger ones are the ones closer to zero. This means that for example, -1 is larger than - 150.
From this, we can conclude that Liquid B is warmer.
Another way to see it is with a change of units.
If we have A degrees Celcius, and we want to to transform it into Kelvins, we must add 273.15°.
Then we have:
Ta = (-105.4° + 273.15°) K = 167.75 K
Tb = (-10.83 ´273.15°) = 262.35 K
where you can see that liquid B has a larger temperature.
Answer:
Liq A= -105.4ºC < LiqB= -10.83ºC
Step-by-step explanation:
Hello!
The easiest and quickest way to compare two negative values and determine which one is greater is by sorting them in a number line. (Check attachment)
You can also compare the absolute value of the temperature measurements. |10.83| < |105.4|. As the negative value decrease, the absolute value increases.
So the temperature of Liquid B > Temperature of liquid A.
I hope this helps!
Given m \| nm∥n, find the value of x. m n t (4x-18)° (3x-8)
Answer:
12x2
Step-by-step explanation:
A pizzeria offers 10 different toppings. They have pepperoni, green peppers, onion, bacon, sausage, pineapple, ham, spinach, chicken and extra cheese. a. State if this problem is a permutation or combination. Briefly explain your reasoning.
Answer:
combination
Step-by-step explanation:
We have that permutations are groupings in which the order of the objects matters. Combinations are groupings where content matters but order does not.
In this case we have a list of ingredients for the pizza, therefore the order does not matter as long as the ingredients are indicated, which means that this is an example of a combination.
b) On one rectangular coordinate system, show approximate radian values for one circle, as
well as the degree values for every 1/8 of one circle. (2 pts.)
Answer:
(See explanation below for further details)
Step-by-step explanation:
Any point in rectangular form can be described in terms of radius and angle of the circle. That is:
[tex]P = (r\cdot \cos \theta, r\cdot \sin \theta)[/tex]
Since circunference is divided into 8 equal parts, the point can be modelled as:
[tex]P = (r\cdot \cos \frac{2\pi\cdot n}{8}, r \cdot \sin \frac{2\pi\cdot n}{8} )[/tex]
The approximate radian and degree values for one circle are:
Radians
[tex]0 (0), \frac{\pi}{4} (0.785), \frac{\pi}{2} (1.571), \frac{3\pi}{4} (2.355), \pi (3.142), \frac{5\pi}{4} (3.925), \frac{3\pi}{2} (4.71), \frac{7\pi}{4} (5.495), 2\pi (6.280)[/tex]
Degrees
[tex]0^{\circ}, 45^{\circ}, 90^{\circ}, 135^{\circ}, 180^{\circ}, 225^{\circ}, 270^{\circ}, 315^{\circ}, 360^{\circ}[/tex]
Johana works in the crime lab at the New York City Police Department. A woman’s shoe was found at a crime scene. Johana measures it and then uses the following function equation to predict the estimated height of the suspect: y =1.19x+56 where x represents a woman’s shoe size and y represents the estimated likely height of the woman in inches. a. Using a calculator, determine an ordered pair that is a solution to this function. b. Interpret your solution in the context of this problem, using one or more complete sentences. Use the information given in the problem when describing the values of your input and output. 58
Answer:
(7, 64.33)
Step-by-step explanation:
For a woman suspect whose shoe size was found at the crime scene, the equation which can be used to predict the estimated height is given as:
[tex]y=1.19x+56,$ where:\\x = woman's shoe size\\ y= the estimated likely height of the woman in inches.[/tex]
(a)Let x=7
Then: y =1.19(7)+56=64.33
An ordered pair that is a solution to the function is (7, 64.33)
(b) The estimated height of a woman who is of shoe size 7 is 64,33 inches.
The scale of the drawing shows that 1” = 10 feet. If the drawing
shows the height of the building as 6 inches, how tall is the
actual building?
Answer:
60 foot
Step-by-step explanation:
Just multiply by 10?
what is the next term in the arithmetic sequence? 9,17,25,33,...
Answer:
41
Explanation:
To solve this problem we must first understand what the pattern is in the arithmetic sequence. Once we understand the pattern, we can then apply it to the final known term to find the next term.
Take a look at the arithmetic sequence given:
9, 17, 25, 33,...
Let's start by figuring out how they got the second term in the sequence. To do that, subtract the second term by the first term. This will reveal the pattern.
9 - first term
17 - second term
17 - 9 = 8
So, this means they added eight to get the next term. Therefore, the pattern should be 'add eight' to get the next term. Just to be sure the pattern we found is correct, apply it to the given arithmetic sequence.
9, 17, 25, 33,...
9 + 8 = 17
17 + 8 = 25
25 + 8 = 33
So, since 'adding eight' every time gives us the next term, the pattern is correct.
Finally, let's continue the pattern to find the next term.
9, 17, 25, 33,...
33 + 8 = 41
9, 17, 25, 33, 41,...
Therefore, the next term in the arithmetic sequence is 41.
Paper and Pencil Construction: Construct a Line Perpendicular to a Given Line through a Point on the Line
Step-by-step explanation:
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Analysis reveals that a company had a net increase in cash of $21,760 for the
current year. Net cash provided by operating activities was $19,600; net cash
used in investing activities was $10,800 and net cash provided by financing
activities was $12,960. If the year-end cash balance is $26,400, the beginning
cash balance was:
Answer:
Beginning Cash balance was $4,640.
Step-by-step explanation:
Net cash flow from operating activities = $19,600
Net cash flow used in investing activities = ($10,800)
Net cash provided by financing activities = $12,960
Net increase in cash $21,760
Beginning cash balance = Closing balance ($26,400) less net increase in cash ($21,760) = $4,640
The increase in cash represents the cash that was generated from operating, investing, and financing activities. These three activities are the classifications of an entity's activities. Operating activities are those activities that are normal to the business, i.e. activities the business undertakes under its mission. The investing activities arise from the purchase and sale of investments. These are not normal activities of most entities, except investment companies. Financing activities are activities engaged by an entity to raise finance, including the repayment of the borrowed funds plus interest.
Too Tall Tower has office space below the 57th floor and condominiums above. Too Tall Tower is an example of a