Sally's savings account has $238 and she is withdrawing (taking money out) $17 each week to put gas in her car. How much money will Sally have after 5 weeks?

Answer:

a) The Z-score for Patricia's test grade is 0.32.

b) The z-score for Whitney's test grade is of 0.34.

c) Due to the higher z-score, Whitney's did relatively better.

Step-by-step explanation:

Z-score:

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score 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 p-value, we get the probability that the value of the measure is greater than X.

a. Calculate the Z-score for Patricia's test grade.

Patricia took a test in English and earned a 76.5. Students' test grades in the English class had a mean of 73.1 and a standard deviation of 10.5.

This means that [tex]X = 76.5, \mu = 73.1, \sigma = 10.5[/tex]

The z-score is:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{76.5 - 73.1}{10.5}[/tex]

[tex]Z = 0.32[/tex]

The Z-score for Patricia's test grade is 0.32.

b. Calculate the z-score for Whitney's test grade.

Whitney took a test in Math and earned a 64.5. Students' test grades in Math had a mean of 60.9 and a standard deviation of 10.7.

This means that [tex]X = 64.5, \mu = 60.9, \sigma = 10.7[/tex]

The z-score is:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{64.5 - 60.9}{10.7}[/tex]

[tex]Z = 0.34[/tex]

The z-score for Whitney's test grade is of 0.34.

c. Which person did relatively better?

Due to the higher z-score, Whitney's did relatively better.

Answer:

120.

Step-by-step explanation:

The Least common multiple of 30 and 40 is 120.

Answer:

The lowest common multiple of 30 and 40 is 120

Answer: 0.309, 0.969.

Step-by-step explanation: plato answer

Answer:

The answer I keep getting is 28 because when you add all the pounds it ends up as 7 and and you need to divide that by 1/4 which will be 7x4 be a vs he of the reciprocal so it is 28

hope this helps!!!!!!!  :)

Step-by-step explanation:

#CarryOnLearning

#NoToCopyPaste

Its base on my understanding

Just please, idols ,if we are going to answer questions here on brainly, don't do the ones from the internet, then just copy and paste

Just please, idols ,if we are going to answer questions here on brainly, don't do the ones from the internet, then just copy and paste You can search on the internet but make your own sentence okay? Thank you

Please dont delete this:((

Answer:

8.74

Step-by-step explanation:

The distance can be calculated by Distance Formula , as :-

⇒ Distance = √[( x₁ - x₂ )² + (y₁ - y₂ )² ]

⇒ D = √ [ ( 3 + 2)² + (5+2)² ]

⇒ D = √ 5² + 7²

⇒ D = √ [ 25 + 49 ]

⇒ D = √ 74

⇒ D = 8.74 units .

Answer:

4 is the mode for this question

Answer:

last option:  answer is 'x'

Step-by-step explanation:

(3x + 1 - 1) / 3  =  3x / 3  = x

Answer:

area of sector - area of triangle

90/360×22/7×9×9 - 1/2×9×9

=63.64-40.5

=23.14

ans=23.14 squared inch

Answer:

The length of each side is (2a-5) units

Step-by-step explanation:

4a^2 - 20a +25

= (2a)^2 - 20a + (-5)^2

=(2a - 5)^2

(9a^2 - 16b^2)

= (3a)^2 - (4b)^2  this is the difference of two squares, the factors are therefore

= (3a + 4b) * (3a - 4b)

The dimensions of the rectangle are:

one pair of opposite sides are 3a + 4b

and the other pair of opposite side perpendicular to the first pair is 3a - 4b

Answer:

Step-by-step explanation:

Answer:

9/1000

Step-by-step explanation:

Because 1 m = 1000 mm, the scale factor is 9/1000

Answer:

17.25

Step-by-step explanation:

Answer:

The answer is 27, 28, 29.

Answer:

C

Step-by-step explanation:

random guess

Answer:

I think B(in sorry if thats not correct)

Step-by-step explanation:

Answer:

hiii <33

Step-by-step explanation:

Answer:

(assuming you are knowledge about Pythagoras theorem)

44.205

Step-by-step explanation:

draw the altitude line to the upper right corner and the lower left corner and you have 2 identical right triangles and a rectangle. If you solve the third side of the right triangles you get 1.685 (sqrt[7.2^2 - 7^2]).

now add up the areas of both triangles and the rectangle in the center whose base is 4.63 (subtract the 3rd side from 8)

you have

1.685(7) + 7(4.63)

Answer:

Part A

6/40 = 0.15

Part B

16/40 = 0.4

Part C

10/40 = 0.25

Part D

8/40 = 0.20

Part E

The relative frequency of drawing a five-dollar bill is higher than the other relative frequencies. So, I can predict that Pablo is most likely to have more five-dollar bills than any of the others.

Part F

The relative frequency of drawing a one-dollar bill is lower than the other relative frequencies. So, I can predict that Pablo is most likely to have fewer one-dollar bills than bills of any other denomination.

Part G

It would not be a surprise if Pablo had fewer twenties than ones. The experiment was conducted only 40 times, and the numbers of times one-, ten-, and twenty-dollar bills were drawn are not very far apart. So, the number of twenties could be more or less than the number of ones. The same goes for tens and ones.

If you're on Plato an on slide 20 this Answer is for you:

If Pablo does an experiment 100 times, will the relative frequency be more accurate or less accurate than if he did the experiment 40 times? Why?

Answer: As the number of trials increases, the relative frequency becomes closer to the probability of the event. So, the relative frequency would be more accurate if the experiment were repeated 100 times rather than 40 times.

Answer:

should be C

Step-by-step explanation:

Answer:

the value of p? its 26 because 26-12=14

Step-by-step explanation:

Answer:

p = 26

Step-by-step explanation:

p -12 + 12 = 14 + 12

p = 26

Answer:

P(A and B) = 0.1 = 10%

Step-by-step explanation:

Conditional Probability

We use the conditional probability formula to solve this question. It is

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]

In which

P(B|A) is the probability of event B happening, given that A happened.

[tex]P(A \cap B)[/tex] is the probability of both A and B happening.

P(A) is the probability of A happening.

In this question, we have that:

[tex]P(A) = 0.2, P(B|A) = 0.5[/tex]

What is P(A and B)?

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]

[tex]P(A \cap B) = P(B|A)*P(A) = 0.5*0.2 = 0.1[/tex]

P(A and B) = 0.1 = 10%

Answer:

Step-by-step explanation:

7 + b

Hope that helps... I couldn't really figure out what you were asking :)

Answer: 1,3,5

I got them right on my assignment

Option (A) The solution set is unbounded, (C) There is one point of intersection of the boundary curves, (E) The boundary curves intersect at approximately (-3, 0) are correct.

It is defined as the expression in mathematics in which both sides are not equal they have mathematical signs either less than or greater than known as inequality.

We have two inequality:

x² - 9y² < 9

y > 2×

After plotting on the graph:

From the graph:

The correct options are:

The solution set is unbounded

There is one point of intersection of the boundary curves.

The boundary curves intersect at approximately (-3, 0).

Thus, option (A) The solution set is unbounded, (C) There is one point of intersection of the boundary curves, (E) The boundary curves intersect at approximately (-3, 0) are correct.

Learn more about the inequality here:

brainly.com/question/19491153

#SPJ5

Answer:  it is 3

Step-by-step explanation:

Answer:

The absolute value is 5 1/6

Step-by-step explanation:

The absolute value is how far away an answer is to zero so we just take away the negative for this question.

Answer:

its 122

Step-by-step explanation:

just did it on khan academy

Answer:

the equation is W=V / ( L×H)

note write it as a fraction V in neomarater and L×W in denomenator

Step-by-step explanation:

V=L×W×H

6336=18×16×W

W×288=6336

W=6336 ÷288

W=22 cm

Answer:

find the are of the base times the height

Step-by-step explanation: