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3 years ago

Find the missing value for X

Mathematics

1 answer:

castortr0y [4]3 years ago

7 0

If we assume that BC is bisecting AD, and that AE is half of AD, we can set up the equation:

$2(19)=5x-7$

Then we can solve directly for x:

$38=5x-7$
$45=5x$
$x=9$

So we have then calculated x which is equal to 9.

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In pauls bicycle shop, 40 bicycles are inspected. If 20 needed new tires and 30 needed gear reports, answer the following: a) wh

Arisa [49]

There are three possibilities. 1. Of the 30 bikes that needed gear repairs, 20 also needed tires. 2. Of the 30 bikes that needed gear repairs, 10 also needed tires. 3. Of the 30 bikes that needed gear repairs, between 10 and 20 also needed tires.

7 0

3 years ago

A population of a particular yeast cell develops with a constant relative growth rate of 0.4225 per hour. The initial population

Ksju [112]

Answer: The population after 3 hours is 13.9 mill.

Step-by-step explanation:

When we have an exponential with:

A = initial population.

r = constant relative growth rate:

t = time.

The function that models this is:

P(t) = A*e^(k*t)

In this case we know that:

A = 3.9 mill.

r = 0.4225 1.

Then the function that models the population of this yeast cell is:

P(t) = (3.9 mill)*e^(0.4225*t)

where t represents the time in hours.

Then if we want to know the population after 3 hours, we should replace t by 3.

P(3) = (3.9 mill)*e^(0.4225*3) = 13.85 mill.

And we want to round our answer to one decimal place, then we must look at the second decimal place, we can see that is a 5, so we should round up.

The population after 3 hours is 13.9 mill.

8 0

3 years ago

Simplify this expression: 13 + (–12) – (–5) = ? A. 6 B. –6 C. –30 D. 30

Anuta_ua [19.1K]

13 + (-12) - (-5)

13 - 12 + 5

1 + 5

= 6.

Answer is A)

3 0

3 years ago

Read 2 more answers

Use the distributive property and combine like terms to simplify: u(v−10)

siniylev [52]

Answer:

uv - 10u

Step-by-step explanation:

To distribute a problem, you have to multiply what is on the outside of the parenthesis with what is on the inside.

u · v = uv

u · -10 = -10u

Combined, u(v - 10) = uv - 10u.

6 0

3 years ago

The U.S. Department of Housing and Urban Development publishes data on the fair market monthly rent for existing one-bedroom hou

Aleksandr [31]

Answer:

$n=(\frac{1.960(80)}{25})^2 =246.73 \approx 247$

So the answer for this case would be n=247 rounded up to the nearest integer

Step-by-step explanation:

We know that the standard deviation is :

$\sigma = 80$ represent the deviation

The margin of error is given by this formula:

$ME=z_{\alpha/2}\frac{\sigma}{\sqrt{n}}$ (a)

And on this case we have that ME =25 and we are interested in order to find the value of n, if we solve n from equation (a) we got:

$n=(\frac{z_{\alpha/2} \sigma}{ME})^2$ (b)

The critical value for 95% of confidence interval now can be founded using the normal distribution and the critical value would be $z_{\alpha/2}=1.960$ , replacing into formula (b) we got:

$n=(\frac{1.960(80)}{25})^2 =246.73 \approx 247$

So the answer for this case would be n=247 rounded up to the nearest integer

8 0

3 years ago