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3 years ago

Find x in this proportion. 5/2x=25/4 x=__? 2/5 5/2 4/5 8/5

2 answers:

8 0

Correct answer is A.

$\frac{5}{2x} = \frac{25}{4} 
\\
\\2x\times 25=5\times 4
\\50x=20
\\
\\x= \frac{20}{50}= \frac{2}{5}$

Blizzard [7]3 years ago

5 0

Answer:

$The\ value\ of\ x\ is\ \frac{2}{5} .$

Step-by-step explanation:

As the proportion given in the equation be

$\frac{5}{2x} = \frac{25}{4}$

Simplify the above

$x = \frac{5\times 4}{2\times 25}$

Solving the above

$x = \frac{20}{50}$

Thus

$x = \frac{2}{5}$

$Therefore\ the\ value\ of\ x\ is\ \frac{2}{5} .$

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The cost of a ticket to the circus is $19.00 for

DENIUS [597]

Answer:

The number of tickets bought is 1000 adults tickets and 700 children were present

Explanation:

Let the number of children and adults present in the circus be x and y respectively

According to question,

Then, x + y = 1700 ……………..equation (1)

And, cost of ticket to circus for children and adult be 19, 42 respectively

Total cost of ticket;

for adults = 42y; for children = 19x

19x + 42y = 55300 …………………equation (2)

Multiplying equation (1) by 19

19x + 19y = 32300 ……………… eqn (3)

Subtracting equation 1 and 3, we get

23y = 23000

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putting this value in eq (1), we get x = 700

Therefore, 1000 adults and 700 children were present .

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2 years ago

You and two friends visit a pizza shop. There are 14 toppings. 7 toppings are meat and the rest are vegetable. Each of you order

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3 years ago

A gallup survey indicated that 72% of 18- to 29-year-olds, if given choice, would prefer to start their own business rather than

Neko [114]

Answer:

The probability that no more than 70% would prefer to start their own business is 0.1423.

Step-by-step explanation:

We are given that a Gallup survey indicated that 72% of 18- to 29-year-olds, if given choice, would prefer to start their own business rather than work for someone else.

Let $\hat p$ = sample proportion of people who prefer to start their own business

The z-score probability distribution for the sample proportion is given by;

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

where, p = population proportion who would prefer to start their own business = 72%

n = sample of 18-29 year-olds = 600

Now, the probability that no more than 70% would prefer to start their own business is given by = P( $\hat p$ $\leq$ 70%)

P( $\hat p$ $\leq$ 70%) = P( $\frac{\hat p-p}{\sqrt{\frac{\hat p(1-\hat p)}{n} } }$ $\leq$ $\frac{0.70-0.72}{\sqrt{\frac{0.70(1-0.70)}{600} } }$ ) = P(Z $\leq$ -1.07) = 1 - P(Z < 1.07)

= 1 - 0.8577 = 0.1423

The above probability is calculated by looking at the value of x = 1.07 in the z table which has an area of 0.8577.

3 0

3 years ago