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HELP ME PLEASE IF YOU DO YOU WILL GET BRAINLESS AND PLEASE EXPLAIN THE BEST YOU CAN

Answers

Answer 1

Answer:

Answer:

<3=75°

Step-by-step explanation:

Angle 3 and angle 2x+95 are supplementary( supplementary angles add up to 180°)

So <3+2x+95=180

<3+2x=180-95

<3+2x=85( let's call this equation 1)

Next, angle 5 and angle 8x+71 are opposite angles (opposite angles are equal) therefore <5=8x+71

Now, <3 and <5 are co-interior angles(co-interior angles are supplementary)

So <3+8x+71=180

<3+8x=180-71=109

Thus, <3+8x=109(let's call this equation 2)

Now solving equation 1 and 2 simultaneously:

Make <3 the subject of equation 1

<3=85-2x

Put <3=85-2x into equation 2

85-2x+8x=109

6x=24

x=24/6=4

Now, remember that angle 2x+95 becomes

2(4)+95

8+95=103°

Therefore<3=180-105=75°

Related Questions

A practice law exam has 100 questions, each with 5 possible choices. A student took the exam and received 13 out of 100.If the student guesses the whole test, the expected number of correct answers is 20 with a standard error of .Compute the z-test statistic for the observed value 13.Find the observed significance level or P-value of the statistic.
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Vince opened a savings account and deposited $100.00 as principal. The account earns 15% interest, compounded annually. How much interest will he earn after 8 years?

Answers

Answer:

120

Step-by-step explanation:

1 year = 15% of 100.00

..15 percent *100 =

(.15:100)*100 =

(.15*100):100 =

15:100 = 0.15

15 x 8 = 120

Use the given level of confidence and sample data to construct a confidence interval for the population proportion p.n= 195, p^=p hat= 0.831, Confidence level=95%

a.) 0.777

Answers

Answer:

The 95% confidence interval for the population proportion is (0.778, 0.884).

Step-by-step explanation:

We have to calculate a 95% confidence interval for the proportion.

The sample proportion is p=0.831.

The standard error of the proportion is:

$\sigma_p=\sqrt{(p(1-p))/(n)}=\sqrt{(0.831*0.169)/(195)}\n\n\n \sigma_p=√(0.00072)=0.027$

The critical z-value for a 95% confidence interval is z=1.96.

The margin of error (MOE) can be calculated as:

$MOE=z\cdot \sigma_p=1.96 \cdot 0.027=0.053$

Then, the lower and upper bounds of the confidence interval are:

$LL=p-z \cdot \sisgma_p = 0.831-0.053=0.778\n\nUL=p+z \cdot \sisgma_p = 0.831+0.053=0.884$

The 95% confidence interval for the population proportion is (0.778, 0.884).

Is y=3x-3 proportional

Answers

Answer:

i don't think so

Step-by-step explanation:

Suppose that 2121% of all births in a certain region take place by Caesarian section each year. a. In a random sample of 500500 births, how many, on average, will take place by Caesarian section? b. What is the standard deviation of the number of Caesarian section births in a sample of 500500 births? c. Use your answers to parts a and b to form an interval that is likely to contain the number of Caesarian section births in a sample of 500500 births.

Answers

Answer:

a) $E(X) = np=500*0.21= 105$

b) $Sd(X) = √(82.95)= 9.108$

c) Assuming a the normality assumption we will have within 2 deviations from the mean most of the data from the distribution and the interval for this case would be:

$\mu -2\sigma = 105-2*9.108=86.785$

$\mu +2\sigma = 105+2*9.108=123.215$

So we expect about 86 and 123 most of the numbers of Caesarian section births

Step-by-step explanation:

For this case we can define the random variable X as the number of births in the Caesarian section and from the data given we know that the distribution of X is:

$X \sim Binom (n = 500, p=0.21$

Part a

The expected value for this distribution is given by:

$E(X) = np=500*0.21= 105$

Part b

The variance is given by:

$Var(X) = np(1-p) = 500*0.21*(1-0.21)= 82.95$

And the deviation would be:

$Sd(X) = √(82.95)= 9.108$

Part c

Assuming a the normality assumption we will have within 2 deviations from the mean most of the data from the distribution and the interval for this case would be:

$\mu -2\sigma = 105-2*9.108=86.785$

$\mu +2\sigma = 105+2*9.108=123.215$

So we expect about 86 and 123 most of the numbers of Caesarian section births

On a coordinate plane, a line goes through (0, negative 3) and (2, 2). A point is at (2, negative 3).Complete the statements about finding the equation of the line that is parallel to line n and passes through point (2, –3).

The slope of the graphed line is
.
The slope of the parallel line is
.
An equation that can be used to find the y-intercept of the parallel line is
.
The y-intercept of the parallel line is
.
The equation of the parallel line is
.

Answers

Answer:

5/2, 5/2, -3= (5/2)(2)+b, -8, y=(5/2)x-8

Step-by-step explanation:

Answer:

The slope of the graphed line is

✔ 5/2

The slope of the parallel line is

✔ 5/2

An equation that can be used to find the y-intercept of the parallel line is

✔ –3 = (5/2)(2) + b

The y-intercept of the parallel line is

✔ –8

The equation of the parallel line is

✔ y = (5/2)x – 8

Step-by-step explanation:

The quadratic equation x^2 - 8x = -4 is rewritten in the form (x + p)^2 = q. when q is a constant. What is the value of p ?

Answers

Answer:

-4

Step-by-step explanation:

If you multiply out the square, you can see ...

(x +p)^2 = q

x^2 +2px +p^2 = q

The coefficient of the x-term is 2p, so ...

2p = -8

p = -8/2 = -4

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