Please explain how to check the solution for y=x-3

P is a prime number and q is a positive integers such that p + q = 1696 IF P and Q are co primes and their Lcm is 21879 Then fin

Stolb23 [73]

Answer:

P = 1 3

Q = 1 6 8 3

Step-by-step explanation:

through factorization of 21879

4 0

2 years ago

How can I do this ???

LuckyWell [14K]

Answer:

The triangle EFG can be constructed with the following specifications: $EF = 8\,cm$ , $FG = 7\,cm$ , $EG = 12\,cm$ , $E \approx 34.093^{\circ}$ , $F \approx 106.068^{\circ}$ , $G \approx 39.838^{\circ}$ .

Step-by-step explanation:

A triangle is formed by either knowing the lengths of its three sides or knowing two angles and the length of a side or knowing a angle and the lengths of two sides. By Geometry, we know that sum of internal angles in triangles equals 180°. In order to construct this triangle, we need to know the measures of angles E, F and G by means of the Law of Cosine:

Angle E

$E = \cos^{-1}\left[\frac{(7\,cm)^{2}-(12\,cm)^{2}-(8\,cm)^{2}}{-2\cdot (12\,cm)\cdot (8\,cm)} \right]$

$E \approx 34.093^{\circ}$

Angle F

$F = \cos^{-1}\left[\frac{(12\,cm)^{2} - (8\,cm)^{2} - (7\,cm)^{2}}{-2\cdot (8\,cm)\cdot (7\,cm)} \right]$

$F \approx 106.068^{\circ}$

Angle G

$G = \cos^{-1}\left[\frac{(8\,cm)^{2}-(12\,cm)^{2}-(7\,cm)^{2}}{-2\cdot (12\,cm)\cdot (7\,cm)} \right]$

$G \approx 39.838^{\circ}$

The triangle EFG can be constructed with the following specifications: $EF = 8\,cm$ , $FG = 7\,cm$ , $EG = 12\,cm$ , $E \approx 34.093^{\circ}$ , $F \approx 106.068^{\circ}$ , $G \approx 39.838^{\circ}$ .

4 0

2 years ago

What is the equation of the line best fit for the following data? Round the slope and y-intercept of the line to three decimal p

kari74 [83]

Answer:

$y=1.383x-1.526$

Step-by-step explanation:

The given data table is

x : 4 7 10 12 13

y : 5 7 12 14 18

We need to find the equation of the best fit line.

The general form of a best fit line is

$y=mx+b$ .... (1)

where, m is slope and b is y-intercept.

$m=\frac{\sum_{i=1}^nx_iy_i-n\overline{x}\overline{y}}{\sum_{i=1}^nx_i^2-n\overline{x}^2}$

$b=\overline{y}-b\overline{x}$

Using the graphing calculator we get

$m=1.38321\approx 1.383$

$b=-1.52555\approx -1.526$

Substitute m=1.383 and b=-1.526 in equation (1).

$y=1.383x-1.526$

Therefore, the equation of best fit line is $y=1.383x-1.526$ .

4 0

3 years ago

Read 2 more answers

Suppose that, in the past, 40% of all adults favored capital punishment. Do we have reason to believe that the proportion of adu

Alex_Xolod [135]

Answer:

The p-value of the test is 0.1469 > 0.05, which means that there is no reason to believe that the proportion of adults favoring capital punishment today has increased, using a 0.05 level of significance.

Step-by-step explanation:

Suppose that, in the past, 40% of all adults favored capital punishment. Test if the proportion has increased:

At the null hypothesis, we test if the proportion is still of 40%, that is:

$H_0: p = 0.4$

At the alternative hypothesis, we test if the proportion has increased, that is, is greater than 40%, so:

$H_1: p > 0.4$

The test statistic is:

$z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}$

In which X is the sample mean, $\mu$ is the value tested at the null hypothesis, $\sigma$ is the standard deviation and n is the size of the sample.

0.4 is tested at the null hypothesis:

This means that $\mu = 0.4, \sigma = \sqrt{0.4*0.6}$

Random sample of 15 adults, 8 favor capital punishment.

This means that $n = 15, X = \frac{8}{15} = 0.5333$

Value of the test statistic:

$z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}$

$z = \frac{0.5333 - 0.4}{\frac{\sqrt{0.4*0.6}}{\sqrt{15}}}$

$z = 1.05$

P-value of the test and decision:

The p-value of the test is the probability of finding a sample proportion of 0.5333 or more, which is 1 subtracted by the p-value of z = 1.05.

Looking at the z-table, z = 1.05 has a p-value of 0.8531.

1 - 0.8531 = 0.1469.

The p-value of the test is 0.1469 > 0.05, which means that there is no reason to believe that the proportion of adults favoring capital punishment today has increased, using a 0.05 level of significance.

3 0

2 years ago

You have 1/8 gallon of melted crayon wax. You pour the wax equally into 8 different molds to make new crayons. What fraction of

saw5 [17]

Answer:

2 cups

Step-by-step explanation:

16/8=2 so it is 2 cups

7 0

2 years ago