Answer:
x=4
Step-by-step explanation:
think of the equation like this: you have to do the inverse(opposite) operations so for adding you would subtract it. So for the adding 3 you would subtract it from both sides of the equation and get X=4
What’s the correct answer for this question?
C. 1/5 chance that they boy did not see the movie.
Answer:
C.
Step-by-step explanation:
The answer is c. Probability has a formula it is, what we want/what we don't want. This means that we can use the table to calculate what the probability is that a randomly selected boy didn't see the movie.
1. 4/16
2. 1/4
Hope this helps! (Please consider giving brainliest)
An amusement park has 15 roller coasters. In how many ways can you choose 10 of the roller coasters to ride during your visit to the park? *
Answer:
3003 ways
Step-by-step explanation:
We are in a combination or permutation exercise, the difference between them is if the order matters (permutations) or does not matter (combinations),
in this case the order does not matter, since they only ask us for the ways to choose 10 of 15 roller coasters, therefore it would be a combination:
nCr = n! / (r! * (n-r)!
we know that n = 15 and r = 10, we replace:
15C10 = 15! / (10! * (15-10)!
15C10 = 3003
In other words, there are 3003 ways to choose 10 of the 15.
The best player on a basketball team makes 70% of all free throws. The second-best player makes 65% of all free throws. The third-best player makes 55% of all free throws. Based on their experimental probabilities, estimate the number of free throws each player will make in his or her next 60 attempts. Explain.
For the best player, one equation that gives the estimated number of free throws is
▼
The best player will make about
nothing free throws.
Answer:
Best: 42/60 free throws
Second Best: 39/60 free throws
Third Best: 33/60 free throws
Step-by-step explanation:
10. A rectangular tank has length 4 m, width
12 m and height 3.5 m.
i) If the tank is filled with water to 2/3
of its capacity, calculate the volume
of the water in the tank.
Answer:
112m³
Step-by-step explanation:
VOLUME=L × W × H
= 4m × 12m × 3.5m
= 168m³
THE TANK IS FILLED TO 2/3 OF IT'S CAPACITY
= 2/3 × 168
= 112m³.
plss help bring up my grade please
The easiest way to solve this problem is by calculating the areas of all the sides and adding them together.
Step 1; Calculate the area of the rectangular front & back
A = 2 * (l * w)
= 2 * (25 * 10)
Step 2; Calculate the area of the rectangular sides
A = 2 * (1 * w)
= 2 * (55 * 10)
= 1100 ft^2
In a certain school district, it was observed that 24% of the students in the element schools were classified as only children (no siblings). However, in the special program for talented and gifted children, 119 out of 415 students are only children. The school district administrators want to know if the proportion of only children in the special program is significantly different from the proportion for the school district. Test at the α=0.05 level of significance.What is the hypothesized population proportion for this test?
Answer:
We conclude that the proportion of only children in the special program is significantly different from the proportion for the school district.
Step-by-step explanation:
We are given that in a certain school district, it was observed that 24% of the students in the element schools were classified as only children
However, in the special program for talented and gifted children, 119 out of 415 students are only children.
Let p = proportion of only children in the special program.
So, Null Hypothesis, [tex]H_0[/tex] : p = 24% {means that the proportion of only children in the special program is equal to the proportion for the school district}
Alternate Hypothesis, [tex]H_A[/tex] : p [tex]\neq[/tex] 24% {means that the proportion of only children in the special program is significantly different from the proportion for the school district}
The test statistics that would be used here One-sample z-test for proportions;
T.S. = [tex]\frac{\hat p-p}{\sqrt{\frac{p(1-p)}{n} } }[/tex] ~ N(0,1)
where, [tex]\hat p[/tex] = sample proportion of only children in the special program = [tex]\frac{119}{415}[/tex] = 0.29
n = sample of students = 415
The hypothesized population proportion for this test is 0.24.
So, the test statistics = [tex]\frac{0.29-0.24}{\sqrt{\frac{0.24(1-0.24)}{415} } }[/tex]
= 2.385
The value of z test statistic is 2.385.
Now, at 0.05 significance level the z table gives critical value of -1.96 and 1.96 for two-tailed test.
Since our test statistic doesn't lie within the range of critical values of z, so we have sufficient evidence to reject our null hypothesis as it will fall in the rejection region due to which we reject our null hypothesis.
Therefore, we conclude that the proportion of only children in the special program is significantly different from the proportion for the school district.
Jennifer started a lawn mowing business and borrowed $85 to buy materials. Nicholas started a babysitting business and borrowed $60 to buy materials. Which statement correctly shows who has the greater debt?
Answer:
Jennifer because she would make less but spent more on supplies
Step-by-step explanation:
Answer: The answer is D! Jennifer, |-85| > |-60|
Step-by-step explanation: I did the quiz hope everyone does great ^^
if f(x)= 4x squared + 1 and g(x) = x squared -5 , find (f+g)(x)
Answer:
5x^2 -4
Step-by-step explanation:
f(x)= 4x^2+ 1
g(x) = x^2 - 5
(f+g)(x) = f(x) + g(x)
= 4x^2+ 1 + x^2 - 5
= 4x^2 + x^2 + 1- 5
= 5x^2 -4
What’s the correct answer for this question?
Answer:
PO = 20
Step-by-step explanation:
They are equidistant from the centre
PG = GO
x-4=1/2x+3
Multiplying both sides by 2
2(x-4)=x+6
2x-8=x+6
2x-x = 6+8
x = 14
Now
PO = 14-4+7+3
PO = 10+10
PO = 20
The distance between (-1,2) and (-2,1)
Answer:
About 10 i think
Step-by-step explanation:
idk
Match each term with its notation. Enter the number corresponding to the correct notation in the blank.
______:The number of treatment conditions
______:The number of scores in each treatment
______:The total number of scores in the entire study
______:The sum of the scores for each treatment condition
______:The sum of all of the scores in the research study
______:The F-ratio
1. G
2. k
3. n
4. T
5. n
6. F
Question:
Match each term with its notation. Enter the number corresponding to the correct notation in the blank.
______:The number of treatment conditions
______:The number of scores in each treatment
______:The total number of scores in the entire study
______:The sum of the scores for each treatment condition
______:The sum of all of the scores in the research study
______:The F-ratio
1. G
2. k
3. N
4. T
5. n
6. F
Answer:
i) K :The number of treatment conditions
ii) n :The number of scores in each treatment
iii) N :The total number of scores in the entire study
iv) T :The sum of the scores for each treatment condition
v) G :The sum of all of the scores in the research study
vi) F :The F-ratio
Step-by-step explanation:
Here we are dealing with ANOVA notations.
ANOVA which is the short form for Analysis of Variance is a test in staristics used to compare two population samples to check if they are equal.
Here, we have the following ANOVA notations:
G, K, n, T, N, F
Where, G is said to be the sum of scores in the research study.
K is the number of treatment.
n is the number of scores in each treatment
T is the sum of scores for each treatment condition.
N is the total number of scores in whole study
F is the F-ratio.
Matching them with the terms given, we have the following:
i) K :The number of treatment conditions
ii) n :The number of scores in each treatment
iii) N :The total number of scores in the entire study
iv) T :The sum of the scores for each treatment condition
v) G :The sum of all of the scores in the research study
vi) F :The F-ratio
Note the difference between "N" and "n"
The distance it takes a truck to stop can be
modeled by the function
Determine the value off, rounde
hundredth.
2
DONE
2.150 ?
d(u)=-
64.4f
d = stopping distance in feet
y = initial velocity in miles per hour
f= a constant related to friction
When the truck's initial velocity on dry pavement is
40 mph, its stopping distance is 138 ft.
Your question is not well presented (Refer below for correct question)
The distance it takes a truck to stop can be modeled by the function;
d(u) = 2.15u²/64.4f
Where
d = stopping distance in feet
u = initial velocity in miles per hour
f = a constant related to friction
When the truck's initial velocity on dry pavement is 40 mph, its stopping distance is 138 ft.
Determine the value of f.
Answer:
The friction constant is approximately 0.3871
Step-by-step explanation:
Given
Stopping distance, d(u) = 138ft
Initial Velocity, u = 40mph
Required
Friction constant, f.
To get the value of f, we need to simply substitute 40 for u and 138 for d(u) in the above expression.
In other words;
d(u) = 2.15u²/64.4f becomes
138 = 2.15 * 40²/64.4f
138 = 2.15 * 1600/64.4f
138 = 3440/64.4f
Multiply both sides by 64.4f
138 * 64.4f = 64.4f * 3440/64.4f
8887.2f = 3440
Divide both sides by 8887.2
8887.2f/8887.2 = 3440/8887.2
f = 3440/8887.2
f = 0.387073544
f = 0.3871 (Approximated)
Hence, the friction constant is approximately 0.3871
Answer:
first one is .39
second answer is C the last one
Step-by-step explanation:
What is the equation of the line perpendicular to y=2/3x + 1 that passes through the point (12,-6) ?
Answer:
y=-3/2x+12
Step-by-step explanation:
perpendicular lines their gradient multiply to form -1 thus gradient line 1=2/3
gradient line 2= -3/2
equation= y=mx+c where m represents gradient
y-(-6)/x-12=-3/2
y+6/x-12=-3/2
y+6=-3/2(x-12)
y+6=-3/2x+18
y= -3/2x+18-6
y=-3/2x+12
Notice that the alternative hypothesis is a two-tailed test. Suppose ttest_ind method from scipy module is used to perform the test and the output is (-1.99, 0.0512). What is the P-value for this hypothesis test
Answer:
The p-value of the test is 0.0512.
Step-by-step explanation:
The p-value of a test is well-defined as per the probability, [under the null hypothesis (H₀)], of attaining a result equivalent to or more extreme than what was the truly observed value of the test statistic.
In this case the output of the t-test_ind method from scipy module is provided as follows:
Output = (-1.99, 0.0512)
The first value within the parentheses is the test statistic value.
So the test statistic value is, -1.99.
And the second value within the parentheses is the p-value of the test.
So the p-value of the test is 0.0512.
Assume the readings on thermometers are normally distributed with a mean of 0degreesC and a standard deviation of 1.00degreesC. Find the probability that a randomly selected thermometer reads between negative 2.05 and negative 1.49 and draw a sketch of the region.
Answer:
[tex]P(-2.05<X<-1.49)=P(\frac{-2.05-\mu}{\sigma}<\frac{X-\mu}{\sigma}<\frac{-1.49-\mu}{\sigma})=P(\frac{-2.05-0}{1}<Z<\frac{-1.49-0}{1})=P(-2.05<z<-1.49)[/tex]
And we can find this probability with this difference
[tex]P(-2.05<z<-1.49)=P(z<-1.49)-P(z<-2.05)=0.068- 0.0202= 0.0478[/tex]
And we can see the figure in the plot attached.
Step-by-step explanation:
Let X the random variable that represent the redings on thermometers of a population, and for this case we know the distribution for X is given by:
[tex]X \sim N(0,1)[/tex]
Where [tex]\mu=0[/tex] and [tex]\sigma=1[/tex]
We are interested on this probability
[tex]P(-2.05<X<-1.49)[/tex]
We can use the z score formula given by:
[tex]z=\frac{x-\mu}{\sigma}[/tex]
Using this formula we got:
[tex]P(-2.05<X<-1.49)=P(\frac{-2.05-\mu}{\sigma}<\frac{X-\mu}{\sigma}<\frac{-1.49-\mu}{\sigma})=P(\frac{-2.05-0}{1}<Z<\frac{-1.49-0}{1})=P(-2.05<z<-1.49)[/tex]
And we can find this probability with this difference
[tex]P(-2.05<z<-1.49)=P(z<-1.49)-P(z<-2.05)=0.068- 0.0202= 0.0478[/tex]
And we can see the figure in the plot attached.
If f(x) = 4x^2 and g(x) = x+1, find (f.g)(x).
Answer:
4x^3 + 4x^2
Step-by-step explanation:
f(x) = 4x^2
g(x) = x + 1
=> (f.g)(x) = 4x^2*(x + 1) = 4x^3 + 4x^2
Hope this helps!
Apple weights in an orchard are normally distributed. From a sample farmer Fred determines the mean weight of a box of apples to be 270 oz. with a standard deviation of 10 oz. He wonders what percent of the apple boxes he has grouped for sale will have a weight less than 255 oz.
Answer:
2.07 is the answer as of e.2020
Step-by-step explanation:
In a game of poker a player receives a subset of 5 cards from a standard deck of 52 cards. There are four suites (clubs, spades, hearts, diamonds) with 13 cards in each suite. What is the probability your hand contains exactly 3 hearts (out of 5 cards)?
Answer:
8.15% probability your hand contains exactly 3 hearts
Step-by-step explanation:
A probability is the number of desired outcomes divided by the number of total outcomes.
The order in which the cards are chosen is not important, so we use the combinations formula to solve this question.
Combinations formula:
[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
What is the probability your hand contains exactly 3 hearts (out of 5 cards)?
We have 52 cards in total.
13 are clubs, 13 are spades, 13 are hearts, 13 are diamonds.
Desired outcomes:
3 hearts, from a set of 13.
Other 2 cards, from a set of 52-13 = 39.
So
[tex]D = C_{13,3}*C_{39,2} = \frac{13!}{3!(13-3)!}*\frac{39!}{2!(39-2)!} = 211926[/tex]
Total outcomes:
5 cards, from a set of 52. So
[tex]T = C_{52,5} = \frac{52!}{5!47!} = 2598960[/tex]
Probabilities:
[tex]p = \frac{D}{T} = \frac{211926}{2598960} = 0.0815[/tex]
8.15% probability your hand contains exactly 3 hearts
you have 4 reindeer, Bloopin, Balthazar, gloopin abd prance, and you want to have 3 fly your sleigh. you always have your reindeer fly in a single-file line. How many different ways can you arrange your reindeer?
Answer:
24
Step-by-step explanation:
There are 4 options for the first reindeer.
After the first reindeer is selected, there are 3 options left for the second reindeer.
After the second reindeer is selected, there are 2 options left for the final reindeer.
The number of possible permutations is:
₄P₃ = 4×3×2 = 24
Solving a Real-World Inequality
Samuel is running a 3-mile race. He would like to finish the race in under 33 minutes. He has already run for 10.5
minutes. The inequality 10.5 +X< 33 represents the situation.
Solve the inequality. How is the solution interpreted in the context of the problem?
O x< 22.5; Sam hasa maximum of 22.5 minutes left to finish running.
Ox<22.5; Sam has fewer than 22.5 minutes left to finish running.
O x>43.5; Sam has at least 43.5 minutes left to finish running.
O x<43.5; Sam has no more than 43.5 minutes left to finish running.
Answer:
B) x < 22.5; Sam has fewer than 22.5 minutes left to finish running.
Step-by-step explanation:
For this case we have the following inequality:
From here, we define the variable x.
x: number of minutes remaining to finish the race.
From here, we clear the value of x.
We have then:
Therefore, Samuel has less than 22.5 minutes to finish the race in the estimated time.
Answer:
x < 22.5; Sam has fewer than 22.5 minutes left to finish running.
x < 22.5; Sam has fewer than 22.5 minutes left to finish running.
How to solve the inequality?For this case we have the following inequality:
From here, we define the variable x.
x = number of minutes remaining to finish the race.
From here, we clear the value of x.
We have then:
Therefore, Samuel has less than 22.5 minutes to finish the race in the estimated time.
What are examples of inequality?The major examples of social inequality include income gap, gender inequality, health care, and social class. In health care, some individuals receive better and more professional care compared to others.
Learn more about inequality here: brainly.com/question/25275758
#SPJ2
Convert 78% to a decimal
78% means 78/100=0.78
The waiting times between a subway departure schedule and the arrival of a passenger are uniformly distributed between 0 and 7 minutes. Find the probability that a randomly selected passenger has a waiting time greater than 2.25 minutes.
Answer:
The probability that a randomly selected passenger has a waiting time greater than 2.25 minutes is P=0.68.
Step-by-step explanation:
For a uniform distribution, any value within the minimum and maximum value have the same probability. Outside that interval, the probability is 0.
Then, for a uniform distribution within a and b, the probability P(X>c), being z<c<b is:
[tex]P(X>c)=\dfrac{b-c}{b-a}[/tex]
For our case, with a uniform distribution within 0 and 7 minutes, the probability that a randomly selected passenger has a waiting time greater than 2.25 minutes is:
[tex]P(t>2.25)=\dfrac{7-2.25}{7-0}=\dfrac{4.75}{7}=0.68[/tex]
Sam is rowing a boat away from a dock. The graph shows the relationship
between time and Sam's distance from the dock. Evaluate the function for an
input of 6.
Distance from Dock
Distance (meters)
110
100
90
80
70
50
50
40
10
20
0 1 2 3 4 5 6 7 8 9 10 11
Times (minutes)
O A. After 60 minutes, Sam is 6 meters from the dock
O B. After 6 minutes, Sam is 60 meters from the dock.
O c. After 60 minutes, Sam is 60 meters from the dock.
Answer: after 6 mins, sam is 60 meters from the dock
Step-by-step explanation:
Answer:
after 6 mins, sam is 60 meters from the dock
Step-by-step explanation:
Consider that recycling an aluminum can only requires 6% of the energy needed to make the can in the first place. Given that the energy saved by recycling the can will result in enough energy to run a 100W TV for 3 hours. How much energy does it take to make 19 Aluminum cans
Answer:
21829787.23 joules
Step-by-step explanation:
The recycling will require 6%energy if initial energy, let's say x.
94% of x will be used to power a 100W TV for 3 hours
X = (100*3*60*60)/0.94
X = 1148936.17 joules.
To make 19 aluminum cans ,
It will take 1148936.17*19
= 21829787.23 joules
I have attached 3 different problems, please could you help. Thank you
Answer:
1a) 210
1b) 0.18
2) 17.7 will fit (> 17)
3) 515 cm^2
Step-by-step explanation:
1a) The sample of 25 is exactly 1/30 of the population of 750, so the number of orange cakes in the population will be 30 times the number in the sample.
The total number of orange cakes made on Monday is 30·7 = 210.
__
1b) The lowest number that will round to 5 is 4.5. The lowest probability that a cake is an orange cake is ...
4.5/25 = 18/100 = 0.18
The lower bound on the probability that the cake is orange is 0.18.
____
2) The working shown is partly correct.
The possible error in the box dimension is 1/2 cm, so the box may be as short as 28 -1/2 cm = 27.5 cm.
The possible error in the disc case dimension is 1/2 mm = 0.05 cm, so the case may be as thick as 1.5 +.05 = 1.55 cm.
The minimum number discs that will fit in the case is (27.5 cm)/(1.55 cm) = 17.7. Thus, 17 cases will definitely fit in the box.
____
3) The shaded area will be the largest when the outside rectangle is the largest and the inside rectangle is the smallest. Errors in dimensions can be as much as 1/2 cm, so the Outside rectangle can be 42.5 cm by 21.5 cm. The inside rectangle can be as small as 27.5 cm by 14.5 cm.
Then the shaded area can be as large as ...
(42.5)(21.5) -(27.5)(14.5) = 515 . . . . cm^2
Eric's average income for the first 4 months of the year is $1450.25, what must be his average income for the remaining 8 months so that his average income for the year is $1780.75
Answer:
$ 1,946.00
Step-by-step explanation:
Average income per year=total income per month/12 months
total income=average income for first 4 months*4+ total income for 8 months
Let x represent total income total income for remaining 8 months
$1780.75=($1450.25*4+x)/12
$1780.75*12=$5,801+x
$21,369==$5,801+x
x=$21,369-$5,801
x=$15,568
The average income for the remaining eight months=x/8=$15568/8 =$1,946.00
The average income for the remaining 8 months is $ 1,946.00
y
6
Which points are located on this graph? Check all that
apply.
4
(1,1)
3
B (2,4)
2
(-3,0)
(0, 3)
(3,5)
-5 -4 -3 -2 -1
2 3
4
5
-2
(1,4)
-3
-4
-5
plssssss hellpppp
Answer:
(-3,0) (0,3) (1,4)
Step-by-step explanation:
Answer:
the two you selected and the last choice
(-3, 0)
(0, 3)
(1, 4)
Step-by-step explanation:
List four monthly cost that a homeowner needs to pay?
Answer:
A homeowner has to pay phone bill, home insurance, cable bill, internet bill
Step-by-step explanation:
If the homeowner doesn't pay these then they won't get to continue using it until they pay for it again.
Answer:
The answer should contain any four of the following:
utility fees
association fees
private mortgage insurance (PMI)
title insurance
homeowners insurance
property taxes
Step-by-step explanation: This is the PLATO answer.
Video Example EXAMPLE 5 Where is the function f(x) = |x| differentiable? SOLUTION If x > 0, then |x| = and we can choose h small enough that x + h > 0 and hence |x + h| = . Therefore, for x > 0 we have
Answer:
Step-by-step explanation:
We say that a function is differentiable if it's derivative exists and it is continous over the domain of the original function. Recall that the function |x| is given as |x| = x if [tex]x\geq 0[/tex] and |x|=-x if x<0. In both cases, we have either the function x or -x, which are one-degree polynomials. So, we can find easily their derivatives. So if f(x) = |x|. Then, we have that
[tex]f'(x) = (x)' = 1 \text{if } x\geq 0[/tex]
[tex]f'(x) = (-x)' = -1 \text{if } x<0[/tex]
We should check what happens x=0, since that is the point where the definition of f changes. We can check that
[tex]\lim_{x\to 0^+} f'(x) = 1[/tex] and
[tex]\lim_{x\to 0^-} f'(x) = -1[/tex]
since this limits are not equal, the derivative is not continous at x=0. Hence, the derivative doesn't exist at x=0.
In this case, we say that |x| is differentiable at any x different from 0.
i need halp pls im confused and it would help me out
lateral area
surface area
volume
Step-by-step explanation:
lateral area=area of the full triangle
surface area=area of the four triangles + area of the square