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lions [1.4K]
3 years ago
12

Natalie works in a department store selling clothing. She makes a guaranteed salary of $300 per week, but is paid a commision on

top of her base salary equal to 30% of her total sales for the week. How much would Natalie make in a week in which she made $225 in sales? How much would Natalie make in a week if she made xx dollars in sales?
Mathematics
1 answer:
bixtya [17]3 years ago
8 0

Answer:

367.50

Step-by-step explanation:

300 + .30x  (x = sales for week)

300 + (.30 * 225)

300 + 67.50

367.50

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Several years ago, the mean height of women 20 years of age or older was 63.7 inches. Suppose that a random sample of 45 women w
VikaD [51]

Since the p - value is less than significance level . So, we will accept the null hypothesis.

​(a) State the appropriate null and alternative hypotheses to assess whether women are taller today.

Definition of null hypothesis : The null hypothesis attempts to show that no variation exists between variables or that a single variable is no different than its mean. it is denoted

Alternative Hypothesis : In statistical hypothesis testing, the alternative hypothesis is a position that states something is happening, a new theory is true instead of an old one (null hypothesis).

We are given that The mean height of women 20 years of age or older was 63.7 inches.

So, null hypothesis :  H₀ : μ = 63.7

Alternative Hypothesis :  H₁ : μ > 63.7

b)The​ P-value for this test is 0.06.

The p-value represents the probability of getting a sample mean height of 20 years old women is  64.1 inches.

c) Write a conclusion for this hypothesis test assuming an alpha equals 0.10 level of significance.

p- value = 0.06

Since the p - value is less .

So, we will accept the null hypothesis

So,  

Hence The mean height is 63.7 inches

To learn more about hypothesis testing from the given link

brainly.com/question/12976831

#SPJ4

7 0
2 years ago
Two movie tickets and 3 snacks are $24. Three movies tickets and 4 snacks are $35. How much is a movie ticket and how much is a
Vsevolod [243]

Answer: A movie ticket is $9 while a snack is $2

Step-by-step explanation: We shall let a movie ticket be m while a snack is s. So, from the clues given, if two movie tickets and three snacks cost $24, we can write it as the following expression;

2m + 3s = 24

Also if three movie tickets and four snacks cost $35, we can as well write another expression as follows;

3m + 4s = 35.

Now we have a pair of simultaneous equations which are

2m + 3s = 24 ----------(1)

3m + 4s = 35 ----------(2)

We shall solve this by using the elimination method, since none of the variables has a coefficient of 1. We'll start by multiplying equation (1) by 3 and multiplying equation (2) by 2 (so as to eliminate the m variable)

2m + 3s = 24 -------- x3

3m + 4s = 35 ---------x2

We now arrive at the following

6m + 9s = 72--------(3)

6m + 8s = 70--------(4)

Subtract equation (4) from equation (3) and we arrive at

s = 2

Having determined that s equals 2 we can now substitute for the value of a into equation (1)

2m + 3s = 24

2m + 3(2) = 24

2m + 6 = 24

Subtract 6 from both sides of the equation

2m + 6 - 6 = 24 - 6

2m = 18

Divide both sides of the equation by 2

m= 9

Therefore one movie ticket costs $9 while one snack costs $2

6 0
4 years ago
ASAP! GIVING BRAINLIEST! Please read question 10 THEN answer correctly! No guessing.
o-na [289]

Answer:

x=35

Step-by-step explanation:

62+2x+(x+13)=180

62+2x+x+13=180

3x+75=180

3x=180-75

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x=35

5 0
3 years ago
lisa and bob drove 100 miles on their vacation. lisa drove 22 miles more than bob drove. how many miles did each drive?
muminat
100=(22+bob)+bob
Bob=78/2
Bob=39
Lisa= 39+22
Bob drove 39 miles
Lisa drove 61 miles
3 0
3 years ago
HELP HELP HELP
masya89 [10]

Answer: y=4x+6.

Step-by-step explanation:

(-3,-6)    k=4     y=kx+b ?

y=4x+b

-6=4*(-3)+b

-6=-12+b

-6+12=-12+12+b

6=b.

Hence,

y=4x+6.

6 0
2 years ago
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