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I am Lyosha [343]
3 years ago
11

A field is 53 1/3 yards wide. What is the width of the field in feet?

Mathematics
1 answer:
Umnica [9.8K]3 years ago
5 0

Answer: The  width of the field = 160 feet

Step-by-step explanation:

We are given that , A field is 53\dfrac{1}{3} yards wide.

That means , The width of the field = 53\dfrac{1}{3} yards

Since , the fraction is in mixed for , so first we convert this into improper fraction.

53\dfrac{1}{3}=\dfrac{3(53)+1}{3}=\dfrac{160}{3}

Therefore , the width of the field = \dfrac{160}{3} yards

Since 1 yard = 3 feet.

⇒ the width of the field = \dfrac{160}{3}\times3 feet

Therefore , the width of the field = 160 feet

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Jace bought 4 cookies and 2 brownies from the bakery.

Let x represent the number of cookies and y represent the number of brownies.

Since he bought $9 worth of cookies and brownies. Each cookie costs $0.75 and each brownie costs $3. hence:

0.75x + 3y = 9      (1)

Also, he bought twice as many cookies as brownies, hence:

x = 2y

x - 2y = 0     (2)

Solving equation 1 and 2 simultaneously gives x = 4, y = 2

Hence Jace bought 4 cookies and 2 brownies from the bakery.

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3 years ago
An unprepared student makes random guesses for 6 multiple choice questions that have selections a -
kirill [66]
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3 years ago
A television network is deciding whether or not to give its newest television show a spot during prime viewing time at night. If
musickatia [10]

Answer:

a. The test statistic for this hypothesis would be z=1.71

b. Critical value at α = 0.10: z=1.282

c. Reject H0, the television network should not keep its current lineup.

d. H0: p ≤ 0.50; HA: p > 0.50

Step-by-step explanation:

We have to performa an hypothesis test on a proportion.

The claim is that the proportion of viewers that prefer the new show is bigger than 50% (meaning that most viewers prefer the new show).

The null hypothesis will state that both shows have the same proportion.

Then, the null and alternative hypothesis are:

H_0: \pi\leq0.50\\\\H_a: \pi>0.5

The sample proportion is p=0.53

p=X/n=438/827=0.53

The standard error of the proportion is:

\sigma_p=\sqrt{\dfrac{p(1-p)}{n}}=\sqrt{\dfrac{0.5*0.5}{827}}= 0.017

Then, the z-statistic can be calculated as:

z=\dfrac{p-\pi-0.5/n}{\sigma_p}=\dfrac{0.53-0.50-0.5/827}{0.017}=\dfrac{ 0.029 }{0.017} =1.706

The critical value for a right tailed test at a significance level of 0.10 is zc=1.282. This value can be looked up in a standard normal distribution table.

As the statistic is bigger than the critical value, it lies in the rejection region. The null hypothesis is rejected. There is evidence to support the claim that the proportion of viewers which support the new show is larger than 0.50.

4 0
3 years ago
Someone help me ASAP 10 points each
tia_tia [17]

Answer:

a

Step-by-step explanation:

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2 years ago
Help please
Svetlanka [38]
Well first of you need to know that on a straight line there should be 180 degrees. Also a triangle has 180 degrees in total. Now if this is to scale then you can always measure the angle BCA and explain how you took that away from 180 to get whatever. Assuming otherwise i don't know how one can actually complete this question without any measurements, at least one and it would be something anyone can complete. Even if you didn't have anything it should be a equilateral triangle or isosceles. That way you can work out the inside sides than the exterior. But since it's not, I'm not to sure.
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