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3 years ago

Ashley uses

Mathematics

2 answers:

satela [25.4K]3 years ago

7 0

Answer:

1/24 cup

Step-by-step explanation:

Divide 1/2 by 12 since it is being divided equally among 12 slices.

gladu [14]3 years ago

5 0

Answer:

The correct answer option is D) 1/24 cup.

Step-by-step explanation:

We are given that Ashley uses $\frac{1}{2}$ cup of melted butter spread equally on 12 slices of toast.

We are to find the amount of melted butter on each toast.

For this, we simply need to divide the amount of melted butter used by the total number of slices.

Melted butter on each toast = $\frac{\frac{1}{2} }{12} = \frac{1}{2} \times \frac{1}{12} =\frac{1}{24}$ cup.

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The mean of the data is 10

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Which algebraic expression means “four less than three times a number”?

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It’s 3n-4

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Mr. Dunbar takes his wife out to dinner at Macados to celebrate the holidays. Their total bill was $48.36 but he had a coupon to

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Answer:

$51.38 or $60.45

Step-by-step explanation:

$48.36 minus 15 percent is $41.10. If you're tipping the waitress 25 percent from that price, then it would be $51.38. If you're tipping the waitress 25 percent from the original price, it would be $60.45.

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3 years ago

The test statistic of zequals2.32 is obtained when testing the claim that pgreater than0.3. a. Identify the hypothesis test as b

Sonja [21]

Answer:

a) We need to conduct a hypothesis in order to test the claim that the true proportion p is greatr than 0.3, so then the system of hypothesis are.:

Null hypothesis: $p \leq 0.3$

Alternative hypothesis: $p > 0.3$

Right tailed test

b) $p_v =P(z>2.32)=0.0102$

c) So the p value obtained was a very low value and using the significance level given $\alpha=0.1$ we have $p_v$ so we can conclude that we have enough evidence to reject the null hypothesis, and we can said that at 1% of significance the proportion of interest is higher than 0.3

Step-by-step explanation:

Part a: Concepts and formulas to use

We need to conduct a hypothesis in order to test the claim that the true proportion p is greatr than 0.3, so then the system of hypothesis are.:

Null hypothesis: $p \leq 0.3$

Alternative hypothesis: $p > 0.3$

Right tailed test

When we conduct a proportion test we need to use the z statisitc, and the is given by:

$z=\frac{\hat p -p_o}{\sqrt{\frac{p_o (1-p_o)}{n}}}$ (1)

The One-Sample Proportion Test is used to assess whether a population proportion $\hat p$ is significantly different from a hypothesized value $p_o$ .

Calculate the statistic

For this case the statistic is given by $z_{calc}= 2.32$

Part b: Statistical decision

It's important to refresh the p value method or p value approach . "This method is about determining "likely" or "unlikely" by determining the probability assuming the null hypothesis were true of observing a more extreme test statistic in the direction of the alternative hypothesis than the one observed". Or in other words is just a method to have an statistical decision to fail to reject or reject the null hypothesis.

The next step would be calculate the p value for this test.

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

$p_v =P(z>2.32)=0.0102$

Part c

So the p value obtained was a very low value and using the significance level given $\alpha=0.1$ we have $p_v$ so we can conclude that we have enough evidence to reject the null hypothesis, and we can said that at 1% of significance the proportion of interest is higher than 0.3

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3 years ago

What is the equation of a line that passes through the point?

Artist 52 [7]

<h3>Answer: 3x-2y = 5 (choice A)</h3>

=====================================================

Explanation:

The given graph passes through (0,2) and (2,5)

The slope of this line is

m = (y2 - y1)/(x2 - x1)

m = (5-2)/(2-0)

m = 3/2

Since the y intercept is b = 2, we go from y = mx+b to y = (3/2)x+2, which is the equation of the graphed line shown.

Any parallel line will have the same slope, but a different y intercept.

-------------------

The parallel line must pass through (x,y) = (3,2). We'll use these coordinates along with m = 3/2 to find the y intercept b

y = mx+b

2 = (3/2)(3)+b

2 = 9/2+b

2-9/2 = b

4/2 - 9/2 = b

-5/2 = b

b = -5/2 ... is the new y intercept

The equation of the parallel line is y = (3/2)x-5/2, which is in slope intercept form

-------------------

Let's convert to standard form

y = (3/2)x-5/2

2y = 3x-5 .... multiply everything by the LCD 2 to clear out fractions

2y+5 = 3x

3x = 2y+5

3x-2y = 5 ... is the equation in standard form of the parallel line

-------------------

As a check, we can plug (x,y) = (3,2) into that last equation above to get

3x-2y = 5

3*3-2*2 = 5 ... replace x with 3, replace y with 2

9-4 = 5

5 = 5

Confirming that (x,y) = (3,2) is on the line.

3 0

3 years ago