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2 years ago

What is the value of x in the equation 25x2 = 16?

Mathematics

2 answers:

valentina_108 [34]2 years ago

7 0

zlopas [31]2 years ago

6 0

Answer:

The answer is

$x=(+/-)\frac{4}{5}$

Step-by-step explanation:

we have

$25x^{2}=16$

Solve for x

Divide by $25$ both sides

$25x^{2}/25=16/25$

$x^{2}=16/25$

Square root both sides

$x=(+/-)\sqrt{\frac{16}{25}}$

$x=(+/-)\frac{4}{5}$

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Please help! Tim and Jane both work at a company that sells boxes of breakfast cereal. The boxes of cereal cost £3.00 and the am

patriot [66]

Answer: Jane needs to reduce the price by 20%

Step-by-step explanation: The first thing to note is the original price of the cereal and that is given as £3 for every 160 grams.

The change proposed by Tim is as follows;

Put 25% more cereal in the box (and do not change the price). That means 160 g plus 25%. Mathematically, this can be expressed as;

New weight = 160 + (160 * 25%)

New weight = 160 + (160 * 0.25)

New weight = 160 + 40

New weight = 200

Hence, Tim's idea would result in a cereal box with 200 grams that still cost £3. At this rate, each gram would cost

1 gram = Price / Total grams

1 gram = 3/200

1 gram = 0.015

However, Jane has proposed that the amount of cereal in the box should not be changed, which means the box of cereals should remain 160 grams. The price should be reduced to give the same value as Tim's idea. This means 160 g of cereals should now sell for £0.015 per gram. That would bring the price of 160 g to,

1 gram = 0.015

160 grams = 0.015 * 160

160 grams = 2.4

With Jane's proposal, a 160 g box of cereal should now be sold at £2.4 each. That is a reduction of £0.6

Therefore, the percentage reduction can be calculated as follows;

% decrease = (0.6/3) * 100

% decrease = (1/5) * 100

% decrease = 20

From the results above, Jane should reduce the price (£3 per 160 g) by 20%.

7 0

3 years ago

The length of time it takes to find a parking space at 9 A.M. follows a normal distribution with a mean of 7 minutes and a stand

julsineya [31]

Answer:

There is a 2.28% probability that it takes less than one minute to find a parking space. Since this probability is smaller than 5%, you would be surprised to find a parking space so fast.

Step-by-step explanation:

Problems of normally distributed samples can be solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore of a measure X is given by

$Z = \frac{X - \mu}{\sigma}$

After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X.

Also, a probability is unusual if it is lesser than 5%. If it is unusual, it is surprising.

In this problem:

The length of time it takes to find a parking space at 9 A.M. follows a normal distribution with a mean of 7 minutes and a standard deviation of 3 minutes, so $\mu = 7, \sigma = 3$ .

We need to find the probability that it takes less than one minute to find a parking space.

So we need to find the pvalue of Z when $X = 1$

$Z = \frac{X - \mu}{\sigma}$

$Z = \frac{1 - 7}{3}$

$Z = -2$

$Z = -2$ has a pvalue of 0.0228.

There is a 2.28% probability that it takes less than one minute to find a parking space. Since this probability is smaller than 5%, you would be surprised to find a parking space so fast.

5 0

2 years ago

Suppose Primo Pizza's profit on a given day is always the same as the profit of Pizza Supreme's profit 3 days later. Write a fun

Andru [333]

Complete Question

Each summer Primo Pizza and Pizza Supreme compete to see who has the larger summer profit.

Let p(x) represent Primo Pizza's profit (in dollars) x days after June 1. Let s(x) represent Pizza Supreme's profit (in dollars) x days after June 1.

Suppose Primo Pizza's profit each day is 1.9 times as large as the profit of Pizza Supreme.

Write a function formula for p using the function s

Answer:

The function formula for p using the function s is p(x) = 1.9s(x)

Step-by-step explanation:

Given

p(x) = Primo Pizza's profit (in dollars) x days after June 1.

s(x) = Pizza Supreme's profit (in dollars) x days after June 1.

It is given that Primo Pizza's profit each day is 1.9 times as large as the profit of Pizza Supreme.

This implies that

p(x) = 1.9*s(x)

So, p(x) = 1.9s(x)

Hence, the function formula for p using the function s is p(x) = 1.9s(x)

6 0

2 years ago

Three right triangles surround a shaded triangle; together they form a rectangle measuring 12 units by 14 units. The figure belo

Alchen [17]

Answer:

its not a right angled triangle

Step-by-step explanation:

this is because it doesnt follow the rule of pytagorous theorem

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2 years ago

Eileen is trying to test if the function f(x) = x2 + 2x + 5 is even, odd or neither. She produces the following work: f(– x) = (

Elina [12.6K]

Answer:

f(x) is neither even nor odd.

Step-by-step explanation:

For a function to be even f(x) = f(-x) and her results show that this is not the case.

For an odd function -f(x) = f(-x) so we test this:

-f(x) = -x^2 - 2x - 5 ; f(-x) = x^2 - 2x + 5 - so it is not odd.

8 0

2 years ago