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3 years ago

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A soda shop owner told his employee to add 2 cups and 1/5 of a cup to each gallon of soda. If there were 4 gallons of soda how m

uch syrup would be needed

1 answer:

aleksandr82 [10.1K]3 years ago

3 0

8 4/5 cups of syrup total

2 1/5 x 4= 8 4/5

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Jose can paint an entire house in seven hours and brandon can paint the same house in eight hours. Write an equation that can be

guajiro [1.7K]

Answer:

t/8 + t/7 = 1

Step-by-step explanation:

Given in the question that,

time require for Jose to paint the house = 7 hours

time require for Brandon to paint the house = 8 hours

Suppose t means Full house painted.

<h3>To solve the question we have to figure out how much each of them can paint in ONE hour.</h3>

7 hours----t

1 hour ---- t/7

8 hours----t

1 hour ---- t/8

<h3>Equation</h3>

t/8 + t/7 = 1 (in one hour)

(7t + 8t)/8(7) = 1

15t/56 = 1

15t = 56

t = 56/15

t = 3.73 hours

5 0

3 years ago

There are 2,000 eligible voters in a precinct. A total of 500 voters are randomly selected and asked whether they plan to vote f

Ann [662]

Answer:

$0.7 - 2.58 \sqrt{\frac{0.7(1-0.7)}{500}}=0.647$

$0.7 + 2.58 \sqrt{\frac{0.7(1-0.7)}{500}}=0.753$

And the 99% confidence interval would be given (0.647;0.753).

So the correct answer would be:

a. 0.647 and 0.753

Step-by-step explanation:

Previous concepts

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".

The margin of error is the range of values below and above the sample statistic in a confidence interval.

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The population proportion have the following distribution

$p \sim N(p,\sqrt{\frac{p(1-p)}{n}})$

Solution to the problem

The estimated population proportion for this case is:

$\hat p = \frac{350}{500}=0.7$

The confidence interval would be given by this formula

$\hat p \pm z_{\alpha/2} \sqrt{\frac{\hat p(1-\hat p)}{n}}$

For the 99% confidence interval the value of $\alpha=1-0.99=0.01$ and $\alpha/2=0.005$ , with that value we can find the quantile required for the interval in the normal standard distribution.

$z_{\alpha/2}=2.58$

And replacing into the confidence interval formula we got:

$0.7 - 2.58 \sqrt{\frac{0.7(1-0.7)}{500}}=0.647$

$0.7 + 2.58 \sqrt{\frac{0.7(1-0.7)}{500}}=0.753$

And the 99% confidence interval would be given (0.647;0.753).

So the correct answer would be:

a. 0.647 and 0.753

7 0

3 years ago

Suppose today is Tuesday. What day of the week will it be 100 days from now?

VladimirAG [237]

Sunday
Hope this helps!

7 0

4 years ago

What is the max number of slices of pizza can you get out out of 6 cuts?

Stells [14]

12 slices would be max

8 0

3 years ago

Read 2 more answers

Someone help plz tyyyy!

Sveta_85 [38]

Answer:

When y=7,9 the answer is yes when it = -10,-8 the answer is no.

Step-by-step explanation:

Simple substitution gets us the resulting values. for y=7 we get $15\geq 15$ which is true. For y=9 we get $19\geq 15$ which is also true. For the other values we get a negative number which is not a solution.

4 0

3 years ago