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3 years ago

15

Twenty-one people brought a chocolate cake to a community potluck dinner each cake was split into 8 slices how many slices of ch

ocolate cake are at the dinner

1 answer:

dexar [7]3 years ago

6 0

Answer:

168

Step-by-step explanation:

Multiply 21 by 8 so

21 × 8 = 168

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A driving school wants to find out which of its two instructors is more effective at preparing students to pass the state’s driv

jonny [76]

Answer:

Yes, there is evidence to support that claim that instructor 1 is more effective than instructor 2

Step-by-step explanation:

We can conduct a hypothesis test for the difference of 2 proportions. If there is no difference in instructor quality, then the difference in proportions will be zero. That makes the null hypothesis

H0: p1 - p2 = 0

The question is asking whether instructor 1 is more effective, so if he is, his proportion will be larger than instructor 2, so the difference would result in a positive number. This makes the alternate hypothesis

Ha: p1 - p2 > 0

This is a right tailed test (the > or < sign always point to the critical region like an arrowhead)

We will use a significance level of 95% to conduct our test. This makes the critical values for our test statistic: z > 1.645.

If our test statistic falls in this region, we will reject the null hypothesis.

<u>See the attached photo for the hypothesis test and conclusion</u>

7 0

3 years ago

Write the next three terms of the arithmetic sequence.

JulijaS [17]

The next three terms are: 1/6 , 0 and -1/6

Step-by-step explanation:

Given sequence is:

$\frac{5}{6} , \frac{2}{3} ,\frac{1}{2}, \frac{1}{3} ...$

First of all, we have to find the common difference

$here\\a_1 = \frac{5}{6}\\a_2 = \frac{2}{3}\\a_3 = \frac{1}{2}\\a_4 = \frac{1}{3}\\d = a_2-a_1 = \frac{2}{3} -\frac{5}{6} = \frac{4-5}{6} = -\frac{1}{6}\\d = a_3 - a_2 = \frac{1}{2} - \frac{2}{3} = \frac{3-4}{6} = =\frac{1}{6}$

The common difference is -1/6

We can simply add -1/6 to the previous term to find the next terms so,

Adding -1/6 to 1/3

$\frac{1}{3} - \frac{1}{6} = \frac{2-1}{6} = \frac{1}{6}\\\frac{1}{6} - \frac{1}{6} = 0\\0-\frac{1}{6} = -\frac{1}{6}$

Hence,

The next three terms are: 1/6 , 0 and -1/6

Keywords: Arithmetic sequence, common difference

Learn more about arithmetic sequence at:

#LearnwithBrainly

4 0

3 years ago

n i g 5. When the mass of an object you determine which of the following I _ . . . - gazing the quantity of matter In the object

Ostrovityanka [42]

The is A.) the quantity of mater

4 0

2 years ago

Simplify 4xy + 9x - 3y + z + xy

Contact [7]

4xy + 9x - 3y + z + xy

Combine Like Terms<span>
=<span><span><span><span><span><span>4x</span>y</span>+<span>9x</span></span>+<span>−<span>3y</span></span></span>+z</span>+<span>xy</span></span></span><span>
=<span><span><span><span>(<span><span><span>4x</span>y</span>+<span>xy</span></span>)</span>+<span>(<span>9x</span>)</span></span>+<span>(<span>−<span>3y</span></span>)</span></span>+<span>(z)</span></span></span><span>
=<span><span><span><span><span>5x</span>y</span>+<span>9x</span></span>+<span>−<span>3y</span></span></span>+z</span></span>

Answer <span>=<span><span><span><span><span>5x</span>y</span>+<span>9x</span></span>−<span>3y</span></span>+<span>z

I hope this helps, can I get brainliest thanks</span></span></span>

6 0

3 years ago

Read 2 more answers

How many midpoints can a line segment have?

azamat

There is 2 midpoints on a line segment.

5 0

2 years ago