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3 years ago

Please help me answer the question in the picture

Mathematics

1 answer:

coldgirl [10]3 years ago

4 0

Answer:

D. y-5 = 3(x+1)

Step-by-step explanation:

Slope of the perpendicular line is 3.

Slope intercept form is,

y-5 = 3 (x-(-1))

y-5 = 3(x+1)

You might be interested in

At the farmer's market, there is a scale that measures the weight of fruit and vegetables. The needle is 16 cm long, and it rota

Eddi Din [679]

It may help to draw a picture as you start planning this problem and draw a circle, showing a circle which represents the scale needle's range of motion 360 degrees around. The needle length will then be the radius of that circle.

We know that the needle rotated 68 degrees and are trying to find the distance it traveled in cm. To find out how far the needle traveled, we need to find the arc length - in this case, the distance between the needle's starting point and where it ended up after the oranges were placed on the scale on the circle.

There is a formula you can easily use to find the arc length
arc length = 2* $\pi$ *r ( $\frac{c}{360}$ )

We need to input the radius, r into this formula, as well as the central angle measure c, which in this case is 68 degrees.

2 $\pi$ (16) ( $\frac{68}{360}$ )

If you multiply the above formula components all together using a calculator, you will get ~18.99. (When rounded to the second decimal place.)

So, the answer is around 19 cm. (Your answer may vary depending on how your teacher usually wants you to round answers.)

5 0

3 years ago

Read 2 more answers

Somebody help with the correct answer please

Maslowich

D. Exponential Growth

6 0

3 years ago

Read 2 more answers

A random sample of n measurements was selected from a population with unknown mean mu and standard deviation sigmaequals50 for e

Andre45 [30]

Answer:

a) (26.50;57.50)

b) (117.34;128.66)

c) (12.13;27.87)

d) (-4.73;11.01)

e) No. Since the sample sizes are large (n ≥ 30), the central limit theorem guarantees that $\bar x$ is approximately normal, so the confidence intervals are valid

Step-by-step explanation:

The central limit theorem states that "if we have a population with mean μ and standard deviation σ and take sufficiently large random samples from the population with replacement, then the distribution of the sample means will be approximately normally distributed. This will hold true regardless of whether the source population is normal or skewed, provided the sample size is sufficiently large".

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The confidence interval is given by this formula:

$\bar X \pm z_{\alpha/2} \frac{\sigma}{\sqrt{n}}$ (1)

And for a 95% of confidence the significance is given by $\alpha=1-0.95=0.05$ , and $\frac{\alpha}{2}=0.025$ . Since we know the population standard deviation we can calculate the critical value $z_{0.025}= \pm 1.96$

Part a

$n=40,\bar X=42,\sigma=50$

If we use the formula (1) and we replace the values we got:

$42 - 1.96 \frac{50}{\sqrt{40}}=26.50$

$42 + 1.96 \frac{50}{\sqrt{40}}=57.50$

The 95% confidence interval is given by (26.50;57.50)

Part b

$n=300,\bar X=123,\sigma=50$

If we use the formula (1) and we replace the values we got:

$123 - 1.96 \frac{50}{\sqrt{300}}=117.34$

$123 + 1.96 \frac{50}{\sqrt{300}}=128.66$

The 95% confidence interval is given by (117.34;128.66)

Part c

$n=155,\bar X=20,\sigma=50$

If we use the formula (1) and we replace the values we got:

$20 - 1.96 \frac{50}{\sqrt{155}}=12.13$

$20 + 1.96 \frac{50}{\sqrt{155}}=27.87$

The 95% confidence interval is given by (12.13;27.87)

Part d

$n=155,\bar X=3.14,\sigma=50$

If we use the formula (1) and we replace the values we got:

$3.14 - 1.96 \frac{50}{\sqrt{155}}=-4.73$

$3.14 + 1.96 \frac{50}{\sqrt{155}}=11.01$

The 95% confidence interval is given by (-4.73;11.01)

Part e

No. Since the sample sizes are large (n ≥ 30), the central limit theorem guarantees that $\bar x$ is approximately normal, so the confidence intervals are valid

8 0

3 years ago

What is the value of the expression |48÷(-6)|+|-35÷7|

Lostsunrise [7]

The brackets make the answer positive so you were just do 48÷6 which is 8and then 35÷7 which is five and you add 8+5 and you get 13

8 0

3 years ago

Solve for x. Will name branliest.<br><br> 5(x−8)=7(x−4)

yKpoI14uk [10]

Answer: -6 = x

Step-by-step explanation: Start by distributing through the parentheses

on each side of the equation to get 5x - 40 = 7x - 28.

Now move your x's to the right and

numbers to the right and you get -12 = 2x.

Divide both sides by 2 and -6 = x

7 0

3 years ago

Read 2 more answers