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Mrrafil [7]
2 years ago
7

Maria makes $120 in an 8-hours day. Which is correct expression that describes Maria’s hourly rate?

Mathematics
2 answers:
Naya [18.7K]2 years ago
5 0

Answer:

$15

Step-by-step explanation:

$120÷8h=$15

thank you for this question

Sedbober [7]2 years ago
3 0

Answer:

she gets paid 15$ a hour

Step-by-step explanation:

divide 120 by 8

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A restaurant chain has two locations in a medium-sized town and, believing that it has oversaturated the market for its food, is
scoray [572]

Answer:

Yes, since the test statistic value is greater than the critical value.

Step-by-step explanation:

Data given and notation

\bar X_{1}=360000 represent the mean for the downtown restaurant

\bar X_{2}=340000 represent the mean for the freeway restaurant

s_{1}=50000 represent the sample standard deviation for downtown

s_{2}=40000 represent the sample standard deviation for the freeway

n_{1}=36 sample size for the downtown restaurant

n_{2}=36 sample size for the freeway restaurant

t would represent the statistic (variable of interest)

\alpha=0.05 significance level provided

Develop the null and alternative hypotheses for this study?

We need to conduct a hypothesis in order to check if the true mean of revenue for downtown is higher than for freeway restaurant, the system of hypothesis would be:

Null hypothesis:\mu_{1}\leq \mu_{2}

Alternative hypothesis:\mu_{1} > \mu_{2}

Since we don't know the population deviations for each group, for this case is better apply a t test to compare means, and the statistic is given by:

t=\frac{\bar X_{1}-\bar X_{2}}{\sqrt{\frac{s^2_{1}}{n_{1}}+\frac{s^2_{2}}{n_{2}}}} (1)

t-test: Is used to compare group means. Is one of the most common tests and is used to determine whether the means of two groups are equal to each other.

Determine the critical value.

Based on the significance level\alpha=0.05 and \alpha/2=0.025 we can find the critical values from the t distribution dith degrees of freedom df=36+36-2=55+88-2=70, we are looking for values that accumulates 0.025 of the area on the right tail on the t distribution.

For this case the value is t_{1-\alpha/2}=1.66

Calculate the value of the test statistic for this hypothesis testing.

Since we have all the values we can replace in formula (1) like this:

t=\frac{360000-340000}{\sqrt{\frac{50000^2}{36}+\frac{40000^2}{36}}}}=1.874

What is the p-value for this hypothesis test?

Since is a right tailed test the p value would be:

p_v =P(t_{70}>1.874)=0.033

Based on the p-value, what is your conclusion?

Comparing the p value with the significance level given \alpha=0.05 we see that p_v so we can conclude that we reject the null hypothesis, and the true mean for the downtown revenue restaurant seems higher than the true mean revenue for the freeway restaurant.

The best option would be:

Yes, since the test statistic value is greater than the critical value.

5 0
3 years ago
Help me pls thank you
Marianna [84]

Answer:

More than half the students scored 81 or better on the test

There were 12 students who scored 80 on the test

The same number of students scored between 81 and 90 on the test as scored between 61 and 80.

Step-by-step explanation: Please think this through, I don't know if I'm correct. It is either all or one of these

7 0
2 years ago
Hey please help me with this one.<br><br>- Find the value fd a
valkas [14]

Answer: a = 15

Step-by-step explanation:

6a + 10 = 3a + 55

Subtract 10 from both sides

6a = 3a + 45

Subtract 3a from both sides

3a = 45

Divide each side by 3

a = 15

5 0
3 years ago
Select all of the situations below that can be modeled by the expression 4 + 3x.
Hatshy [7]

Answer:

1 2 3

Step-by-step explanation:

3 0
3 years ago
Write the following inequality in slope-intercept form. 6x+2y≤-46
Furkat [3]

Answer:


Step-by-step explanation:

y=mx+b

y less than or equal to -3x-23


7 0
3 years ago
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