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3 years ago

Please help, answer both questions correctly and i'll give brainliest

Mathematics

2 answers:

laiz [17]3 years ago

6 0

Answer:

1. 1/6

2. 27/64

Step-by-step explanation:

1. 1/2 * 1/3 * 1 = 1/6

2. 3/4^3 = 3/4 * 3/4 * 3/4 = 27/64

Bezzdna [24]3 years ago

3 0

Answer:

$\frac{2}{3}$ , $\frac{27}{64}$

Step-by-step explanation:

Volume: length* height * width

In the first diagram:

$1\frac{1}{3} * 1 * \frac{1}{2} = \frac{4}{3} * 1 * \frac{1}{2} = \frac{2}{3}$

The volume is $\frac{2}{3}$ cubic feet

Next diagram:

$\frac{3}{4} * \frac{3}{4} * \frac{3}{4} = \frac{27}{64}$

The volume is $\frac{27}{64}$ cubic yards

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a sequence is defined recursively by the formula f(n 1) = f(n) 8 . the first term of the sequence is 6. what is the next term in

Mariulka [41]

F(2) = f(1 + 1) = f(1) + 8 = 6 + 8 = 14

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3 years ago

Find the y intercept and x intercept for the following liner equation -4x-10y=-40

Vinvika [58]

The y intercept is 4, and the x intercept is 0.

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3 years ago

A truck can be rented from Company A for $90 a day plus a $0.20 per mile .Company B charges $20 a day plus $0.70 per mile to ren

Alex787 [66]

The number of miles in a day at which the rental costs for Company A and Company B are the same is 140 miles

<h3>Rental cost</h3>

Let

Number of miles = x

Company A:

90 + 0.20x

Company B:

20 + 0.70x

Equate both rental cost

90 + 0.20x = 20 + 0.70x

90 - 20 = 0.70x - 0.20x

70 = 0.50x

Divide both sides by 0.50

x = 70/0.50

x = 140 miles

Therefore, the number of miles in a day at which the rental costs for Company A and Company B are the same is 140 miles

Learn more about rental cost:

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8 0

2 years ago

In 1943, an organization surveyed 1100 adults and asked, "Are you a total abstainer from, or do you on occasion consume, alc

Fynjy0 [20]

Answer:

We conclude that the proportion of adults who totally abstain from alcohol has changed.

Step-by-step explanation:

We are given that in 1943, an organization surveyed 1100 adults and asked, "Are you a total abstainer from, or do you on occasion consume, alcoholic beverages?"

Of the 1100 adults surveyed, 429 indicated that they were total abstainers. In a recent survey, the same question was asked of 1100 adults and 352 in

Let p = proportion of adults who totally abstain from alcohol.

where, p = $\frac{429}{1100}$ = 0.39

So, Null Hypothesis, $H_0$ : p = 39% {means that the proportion of adults who totally abstain from alcohol has not changed}

Alternate Hypothesis, $H_A$ : p $\neq$ 39% {means that the proportion of adults who totally abstain from alcohol has changed}

The test statistics that would be used here One-sample z proportion statistics;

T.S. = $\frac{\hat p-p}{\sqrt{\frac{\hat p(1-\hat p)}{n} } }$ ~ N(0,1)

where, $\hat p$ = sample proportion of adults who totally abstain from alcohol = $\frac{352}{1100}$ = 0.32

n = sample of adults surveyed = 1100

So, test statistics = $\frac{0.32-0.39}{\sqrt{\frac{0.32(1-0.32)}{1100} } }$

= -4.976

The value of z test statistics is -4.976.

Now, at 0.10 significance level the z table gives critical values of -1.645 and 1.645 for two-tailed test.

Since our test statistics doesn't lie within the range of critical values of z, so we have sufficient evidence to reject our null hypothesis as it will fall in the rejection region due to which we reject our null hypothesis.

Therefore, we conclude that the proportion of adults who totally abstain from alcohol has changed.

4 0

3 years ago

an arts academy requires there to be 6 teachers for every 132 students and 3 tutors for every 27 students . how many students do

Nina [5.8K]

Answer:

Step-by-step explanation:

The number of necessary tutors when you divide 27 into 72, is 2.6; therefore the necessary number of tutors is 3 because you can’t have .6 of a tutor. Hope this helps!

4 0

3 years ago