Ask question

Ask question

All categories

2 years ago

11

On a coordinate plane, point C has coordinates of (-8, -15) and point D has coordinates of (9, -3). What are the coordinates of

the point at lies of the distance from point C to D?

1 answer:

Anna [14]2 years ago

4 0

Answer: H

Step-by-step explanation:

You might be interested in

Joan is hiking. She wants to cover 1,600 feet. She hikes 600 feet every 3 hours.

Stella [2.4K]

Joan's remaining distance is reduced by (600 ft)/(3 hours) = 200 ft/hour. She starts with 1600 ft remaining, so her distance remaining (y) after x hours is
.. y = -200x +1600

In order for the distance remaining to be zero, you must have
.. 0 = -200x +1600
.. 200x = 1600
.. x = 1600/200 = 8

It will take Joan 8 hours to hike 1600 ft.

6 0

2 years ago

Personnel tests are designed to test a job applicant's cognitive and/or physical abilities. A particular dexterity test is adm

Elza [17]

Answer:

26.11% of the test scores during the past year exceeded 83.

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, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this problem, we have that:

It is known that for all tests administered last year, the distribution of scores was approximately normal with mean 78 and standard deviation 7.8. This means that $\mu = 78, \sigma = 7.8$ .

Approximately what percentatge of the test scores during the past year exceeded 83?

This is 1 subtracted by the pvalue of Z when $X = 83$ . So:

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

$Z = \frac{83 - 78}{7.8}$

$Z = 0.64$

$Z = 0.64$ has a pvalue of 0.7389.

This means that 1-0.7389 = 0.2611 = 26.11% of the test scores during the past year exceeded 83.

3 0

2 years ago

Write an expression that shows how to multiply 7 x 256 using expanded form and Distributive property.

Mashutka [201]

To multiply any number <span>using expanded form and Distributive property, we need two steps:
1. Write the greater factor in expanded form, and
2. Record partial products by using Distributive property.

Step 1.
</span><span>7 x 256 = 7 x (200 + 50 + 6)
</span>
Step 2.
7 x (200 + 50 + 6) = 7 x 200 + 7 x 50 + 7 x 6

Hence, the complete expression should look like:
7 x 256 = 7 x (200 + 50 + 6) = 7 x 200 + 7 x 50 + 7 x 6

6 0

2 years ago

The volume of a gas in a container varies inversely with the pressure on the gas. A container of helium has a volume of 370in3 u

Elan Coil [88]

Answer:

Step-by-step explanation:

When two variables vary inversely, it means that an increase in one would lead to a decrease in the other and vice versa. Since the volume of a gas, V in a container varies inversely with the pressure on the gas, P, if we introduce a constant of proportionality, k, the expression would be

V = k/P

If V = 370 in³ and P = 15psi, then

370 = k/15

k = 370 × 15 = 5550

The equation that relates the volume, V, to the pressure, P would be

V = 5550/P

if the pressure was increased to 25psi, the volume would be

V = 5550/25 = 222 in³

5 0

2 years ago

In 154 N38 what digit should be replaced to N to make the number divisible by 3,6 and 9?

JulsSmile [24]

Answer:

$N = 6$ so that number becomes divisible by 3, 6 and 9.

Step-by-step explanation:

In Number Theory there is a rule of thumb which states that sum of digits of a multiple of 3 equal 3 or a multiple of three. If we know that $n = 154N38$ , then its sum of digits is:

$x = 1 + 5+4+N+3+8$

$x = 21+N$ (Eq. 1)

We have to determine which digits corresponds to multiples of three, there are four digits:

N = 0

$x = 21+0$

$x = 21$ ( $3\times 7 = 21$ )

N = 3

$x = 21+3$

$x = 24$ ( $3\times 8 = 24$ )

N = 6

$x = 21+6$

$x = 27$ ( $3\times 9 = 27$ )

N = 9

$x = 21+9$

$x = 30$ ( $3\times 10 = 30$ )

We get the following four distinct options: 154038, 154338, 154638, 154938. Now we find which number is divisible by 6 and 9 by factor decomposition:

$154038 = 2\times 3\times 25673$

$154338 =2\times 3\times 29 \times 887$

$154638 = 2\times 3\times 3\times 11\times 11\times 71$

$154938 = 2\times 3\times 7\times 7\times 17\times 31$

It is quite evident that $N = 6$ so that number becomes divisible by 3, 6 and 9.

6 0

2 years ago