Pamela has already taken 3 pages of notes on her own, and she will take 2 pages during each hour of class. In all, how many hour will Pamela have to spend in class before she will have a total of 33 pages of notes in her notebook?
Answer:
The answer is 15 hours for her to reach 33 pages.
Step-by-step explanation:
2+3=5.
Then,
1 hour = 5
2 hours = 7
3 hours = 9
4 hours = 11
5 hours = 13
6 hours = 15
7 hours = 17
8 hours = 19
9 hours = 21
10 hours = 23
11 hours = 25
12 hours = 27
13 hours = 29
14 hours = 31
15 hours = 33.
Consider a sample with data values of 27, 24, 21, 16, 30, 35, 28, and 24. Compute the 20th, 25th, 65th, and 75th percentiles. 20th percentile 1 1.8 Incorrect: Your answer is incorrect. 25th percentile 2 2.25 Incorrect: Your answer is incorrect. 65th percentile 3 5.85 Incorrect: Your answer is incorrect. 75th percentile
Answer:
20
21.75
27.85
29.5
Step-by-step explanation:
Arranging the values in ascending order we get
16 21 24 24 27 28 30 35
n = Number of values = 8
Rank is given by
[tex]\dfrac{\text{Percentile}}{100}\times (n+1)[/tex]
[tex]=\dfrac{20}{100}(8+1)=1.8[/tex]
Taking the fraction of the rank i.e., 0.8 and work out the weighted mean
[tex]0.8\times (21-16)+16=20[/tex]
The 20th percentile is 20
[tex]\dfrac{25}{100}(8+1)=2.25[/tex]
[tex]0.25(24-21)+21=21.75[/tex]
The 25th percentile is 21.75
[tex]\dfrac{65}{100}(8+1)=5.85[/tex]
[tex]0.85(28-27)+27=27.85[/tex]
The 65th percentile is 27.85
[tex]\dfrac{75}{100}(8+1)=6.75[/tex]
[tex]0.75(30-28)+28=29.5[/tex]
The 75th percentile is 29.5
36% of the parking spots in a parking lot are empty. There are 90 empty spots in the parking lot. How many cars can park in the lot when it is full?
Answer:
250
Step-by-step explanation:
An optical inspection system is used to distinguish among different part types. The probability of a correct classification of any part is 0.94. Suppose that three parts are inspected and that the classifications are independent. Let the random variable X denote the number of parts that are correctly classified. Determine the mean and variance of X.
Answer:
The mean and variance of X are 2.82 and 0.1692 respectively
Step-by-step explanation:
The binomial distribution is a discrete probability distribution that tells the percentage in which a result is likely to be obtained between two possibilities when performing n number of tests. In other words, a binomial distribution is a discrete probability distribution that describes the number of successes when conducting n independent experiments on a random variable.
In a binomial distribution, the mean indicates the mean value of a random phenomenon. It is calculated by:
μ=n*p
Where:
n is the number of trials p is the probability of successThis case is a binomial distribution, where n = 3 and p = 0.94. Then:
μ=3*0.94
μ=2.82
The mean of X is 2.82.
Variance is a measure of dispersion that represents the variability of a data series with respect to its mean. It is calculated by:
Var[X]= n*p*q
Where:
n is the number of trials p is the probability of success q is the probability of failureRemembering that the random variable X expresses the number of successes obtained when performing "n" independent Bernouilli tests or tests with probability "p" of success and "(1-p)" of failure, then q = 1-p.
So:
Var[X]= n*p*(1-p)
In this case:
Var[X]=3*0.94*(1-0.94)
Var[X]=3*0.94*0.06
Var[X]=0.1692
The variance of X is 0.1692
Which of the following equations, in its simplest form, will be equivalent to 3x + 2 + (–5)?
Answer:B, x-1+x-2+x
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
A head of household with a taxable income of $332,000 and a $7,500 tax credit
Answer:
335,900
Step-by-step explanation:
Patricia was having fun playing poker. She needed the next two cards dealt to be spades so she could make a flush (five cards of the same suit). There are 12 cards left in the deck, and three are spades. What is the probability that the two cards dealt to Patricia (without replacement) will both be spades? Answer choices are in percentage format, rounded to the nearest whole number.
Answer:
4.5% ≈ 5%
Step-by-step explanation:
Given Data :
number of cards left in the deck = 12
number of spades left = 3
Patricia needs 2 spades
Calculate the probability that the two cards dealt ( without replacement ) will both be spades
1st case: ( first card is a spade )
number of cards left in the deck = 12
number of spades left = 3
P( first card dealt is spade ) = 3 / 12 = 1/4
2nd case ( second card is a spade )
number of cards left = 11
number of spades left = 2
p( second card dealt is spade ) = 2/11
Hence the probability that the two cards dealt ( without replacement ) will both be spades
= 1st case * 2nd case
= 1/4 * 2/11
= 2 / 44 = 1 / 22 = 0.045 = 4.5% ≈ 5%
Answer:
5%
Step-by-step explanation:
Got it right on the test.
How many groups of 10 milliliters are in 1-liter? Explain.
Answer:
100 GROUPS OF TEN
Step-by-step explanation:
THERE IS 1000 ML IN 1L
A set of data points has a line of best fit of ý = 2.5x - 1.5.
What is the residual for the point (2,5)?
A. 3.5
B. -1.5
C. 5
D. 1.5
the residual for points (2,5) will be 1.5.
What is a Linear equation?A linear equation is an algebraic equation of the form y=mx+b, where m is the slope and b is the y-intercept, and only a constant and a first-order (linear) term are included. Sometimes, the aforementioned is referred to as a "linear equation of two variables," with y and x serving as the variables.
We have been given the best-fit line:
y = 2.5 x -1.5
We have to find residual for the point (2, 5)
To find the residual value we will subtract the predicted value from the value which is actual.
We will find the predicted from the given point so substitute x = 2 in the given line which is:
y= 2.5 x -1.5
y=2.5(2) -1.5
y=5 -1.5
y = 3.5
Hence, the predicted value is 3.5
And actual value is 5
Hence,
Residual = actual - predicted
Residual = 5 - 3.5 = 1.5
Hence, our required result is: 1.5
Therefore, the residual for points (2,5) will be 1.5.
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20. Two cars with the velocity of 60
km/h and 50 km/h move toward
each other at the same time. If the
distance between cars is 660 km
then after how many hours cars
meet
A 7 B.6 C5 D. 4 E. 3
it should be 7 hours because the cars distance is 660
**WILL GIVE BRAINLIEST!
pre-calculus question, image attached
Answer:
Sorry, Don't know the answer.
Which of the systems of equations below is equivalent to the system shown?
4x + 5y = 3
2x + 3y = 1
Ο Α.
4x + 5y = 3
- 4x - 5y = 2
ОВ.
12x + 15y = 9
- 12x + 18y = 6
O C.
4x + 5y = 3
- 4x - 3y = 1
OD.
12x + 15y = 9
- 12x - 18y = -6
The system of equations is Option D.
12x + 15y = 9
-12x - 18y = -6
What is an Equation?
Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the first equation be A , 4x + 5y = 3
Let the second equation be B , 2x + 3y = 1
Now ,
The equations can be solved by
4x + 5y = 3 be equation (1)
2x + 3y = 1 be equation (2)
Multiply equation (1) by 3 , we get
12x + 15y = 9 be equation (3)
Multiply equation (2) by -6 , we get
-12x - 18y = -6 be equation (4)
So , the system of equations are
A , 12x + 15y = 9
B , -12x - 18y = -6
Hence , the system of equations are 12x + 15y = 9 and - 12x - 18y = -6
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The least massive planet is Mercury, which has a mass of about 330,000,000,000,000,000,000,000 kg.
How many times more massive is Jupiter than Mercury? Answer the questions to find out.
Answer: It's about 30 times mercury diameter and close to six thousand times it's mass
Step-by-step explanation:
Answer:
Jupiter is 5,751.51 times more massive than Mercury
Step-by-step explanation:
Just divide Jupiter's mass to Mercury.
Order the values from least (top) to greatest (bottom). -|21|, -16, |-10|, 22, |-32|
Answer:
22
-10
-16
-21
-32
Explanation:
On a number line, negative numbers are on the left and positive numbers are on the right. So, typically, the positive numbers would be less than the negative numbers.
Hope this Helps!
What is (f + g)(x)?
f(x) = -2x
g(x) = 5x + 6
What is this written as a polynomial or a rational function
Answer:
(f + g)(x) = 3x + 6
Step-by-step explanation:
Brainliest?
Someone help me I’ll give brainliest
Which statements are true? Select three options.
The percent of fat calories that a person in America consumes each day is normally distributed with a mean of about 36 and a standard deviation of about 10. Suppose that 16 individuals are randomly chosen. For the group of 16, find the probability that the average percent of fat calories consumed is more than thirty-five (Round to 3 decimal places)
Answer:
Step-by-step explanation:
Mean μ = 36
standard deviation σ = 10
n = 16
standard deviation of the group σ₁ = σ / √n
σ₁ = 10/ √16
= 10 / 4 = 2.5
σ₁ = 2.5
P ( x > 35 ) = 1 - P ( x < 35 )
P ( x < 35 ) = P( z < (35 - 36) / 2.5 ) = P( z < (35 - 36) / 2.5 )
= P( z < 0.4 )
= .3446
P ( x > 35 ) = 1 - .3446
= .6554 .
helpppp?????????????
a) work out 2 1/3 / 1/4
Answer:
Nine and one third or 28/3
Have a nice day!
-2 1/2 ÷ 6
divide. please only give correct answer.
Answer:
5/12 fractions form .416 for decimal form
Step-by-step explanation:
find the intercepts and graph each line x + 3y = -4
Answer:
The x intercept is -4
And y intercept is -4/3
Sarah is ordering logo T-shirts for all students in her class to wear for a trip. The design for the logo will cost $25.She has a budget of $236 to buy 22 T-shirts. To the nearest cent, what is the most she can spend on each T-shirt?
PLZ HELP ME IM STUCK ILL GIVE YOU 15 POINTS PLUS BRAIN LIST!
First one is 436: 75*5+61=436
Second one is 48x^2-12: Just substitute 4x for x. 3*16x^2-12=48x^2-12
This is a net of a square pyramid.
What is the surface area, in square centimeters, of the square pyramid?
Answer:
120cm
Step-by-step explanation:
The surface area of the square pyramid is 127.4 square centimeters
What is Three dimensional shape?A three dimensional shape can be defined as a solid figure or an object or shape that has three dimensions—length, width, and height.
The given figure is a square pyramid
The formula to find surface area = a²+2a√a²/4+h²
a is the base edge length and h is the height
a is 6 cm and h is 7 cm
Surface area = 6²+2(6)√6²/4+7²
=36+12√36/4+49
=127.4 square centimeters
Hence, the surface area of the square pyramid is 127.4 square centimeters
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Karen owns a seafood restaurant. She orders trout from an online retailer
Each pound of trout costs $30, and the company charges a $2 fee for
shipping the order. However, if Karen orders 10 or more pounds, the trout
costs only $24 per pound, but the shipping fee is $6.
Which piecewise function models the cost of x pounds of trout?
30x + 2, 0 < x < 10
24x + 6, I > 10
24x + 6, 0 < x < 10
30.2 + 2, 3 > 10
O A. f(x) = {
O B. f(x) = {
O c. f(x) = {
O D. f(x) = {
{
24x + 6, 0 < x < 10
30.3 + 2, > 10
30x + 2,0 < X < 10
24x + 6, x > 10
Answer:
Step-by-step explanation:
In this problem we are required to provide the expression for the two scenarios highlighted
The first scenario is
"Each pound of trout costs $30, and the company charges a $2 fee for
shipping the order"
The expression for the above scenario is given as
30x + 2, 0 < x < 10
The second scenario is
"if Karen orders 10 or more pounds, the trout costs only $24 per pound, but the shipping fee is $6."
The expression for the second scenario is
24x + 6, x > 10
ab=r+d
Solve for a
Please include work
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[tex]ab = r + d[/tex]
Divide sides b
[tex] \frac{ab}{b} = \frac{r + d}{b} \\ [/tex]
[tex]a = \frac{r + d}{b} \\ [/tex]
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
-38 +(30) =
28 + 45 =
Answer:
I think the first answer is 8 and I dont know the second answer
Answer:
-38 + (-30) = -68
-28 + 45 = 17
What is the probability that, for a random viewing of circuit boards 1 and 2, that the total number of defects observed will be at least 6
Answer:
0.3125
Step-by-step explanation:
From the full question in your book, the probability can be computed as:
[tex]P(X+Y=6) = P \{X=1,Y=5\} \cup \{X=2,Y=4\} \cup \{X=3,Y=3\} \cup \{X=4,Y=2\} \cup \{X=5,Y=1\}[/tex]
[tex]= P(X=1,Y=5) + P(X=2,Y=4)+P(X=3,Y=3)+P(X=4,Y=2)+P(X=5,Y=1)[/tex]
since all events are enclosed in brackets, they are mutually exclusives.
Then:
[tex]= P(X=1)P(Y=5)+P(X=2)P(Y=4)+P(X=3)P(Y=3)+P(X=4)P(Y=2)+P(X=5)P(Y=1)[/tex]
as X and Y are independent;
= [tex](0.25\times0.25 + 0.25\times0.25 + 0.25\times0.25+0.25\times0.25 + 0.25\times0.25)[/tex]
= 0.3125
Therefore;
P(X+Y= 6) = 0.3125
I have a small dog and a big dog. My big dog weighs 50 pounds more than twice the weight of my small dog. The sum of their weght is 68 pounds. How much do they weigh?
Answer:
Small dog =18
Big dog=50
Step-by-step explanation:
68-50=18
Answer:
75+68
Step-by-step explanation:
The statement “If I am not hungry, then I will not get a snack” is the inverse of which of the following conditional statements?
If I do not get a snack, then I am not hungry.
If I am hungry, then I will get a snack.
If I get a snack, then I am hungry
If I do not get a snack, then I am hungry
Answer:
if i am hungry then i will get a snack
Step-by-step explanation: