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3 years ago

What is the area of the white region? Steps please and thank you!

Mathematics

1 answer:

DIA [1.3K]3 years ago

5 0

Answer:the ANS to 4 significant figures is 51.92

Step-by-step explanation:u first find the area of the whole chord which is 150 divided by 360 multiplied by the π × 7^2 subtracted from the area of The triangle by doing 1/2×7×7sin150. I hope it helps

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I need this fast yal. i am willing to give brainly

andreyandreev [35.5K]

Answer:

The answer is

y = 6x + 43

Step-by-step explanation:

Equation of a line is y = mx + c

where

m is the slope

c is the y intercept

To find the equation of the parallel line we must first find the slope of the original line

The original line is y = 6x + 1

Comparing with the general equation above

Slope = 6

Since the lines are parallel their slope are also the same

Slope of parallel line = 6

The equation of the line using point (-7,1) and slope 6 is

We have the final answer as

y = 6x + 43

Step-by-step explanation:

srry if this is wring, its what i got also pls give brainliest, im trying to get to vituoso :3

7 0

3 years ago

A theory predicts that the mean age of stars within a particular type of star cluster is 3.3 billion years, with a standard devi

Luden [163]

Answer:

Null hypothesis: $\mu \leq 3.3$

Alternative hypothesis: $\mu > 3.3$

$z=\frac{3.4-3.3}{\frac{0.4}{\sqrt{50}}}=1.768$

Since is a one right tailed test the p value would be:

$p_v =P(z>1.768)=0.039$

Step-by-step explanation:

Data given and notation

$\bar X=3.4$ represent the sample mean

$\sigma=0.4$ represent the population deviation for the sample

$n=50$ sample size

$\mu_o =3.3$ represent the value that we want to test

$\alpha$ represent the significance level for the hypothesis test.

t would represent the statistic (variable of interest)

$p_v$ represent the p value for the test (variable of interest)

State the null and alternative hypotheses to be tested

We need to conduct a hypothesis in order to determine if the mean is higher than 3.3, the system of hypothesis would be:

Null hypothesis: $\mu \leq 3.3$

Alternative hypothesis: $\mu > 3.3$

Compute the test statistic

We know the population deviation, so for this case is better apply a z test to compare the actual mean to the reference value, and the statistic is given by:

$z=\frac{\bar X-\mu_o}{\frac{\sigma}{\sqrt{n}}}$ (1)

z-test: "Is used to compare group means. Is one of the most common tests and is used to determine if the mean is (higher, less or not equal) to an specified value".

We can replace in formula (1) the info given like this:

$z=\frac{3.4-3.3}{\frac{0.4}{\sqrt{50}}}=1.768$

P value

Since is a one right tailed test the p value would be:

$p_v =P(z>1.768)=0.039$

6 0

2 years ago

Suppose a circle with center (14,9) passes through point (16, 12). Which equation represents the circle?

kifflom [539]

Answer:

( x - 14)^2 + ( y - 9)^2 = 13

Step-by-step explanation:

The equation of the circle with a center and a point

( x - a) ^2 + ( y - b) ^2 = r^2

( 14 , 9) - center-( a, b)

a = 14

b = 9

( 16 , 12) - point - ( x, y)

x = 16

y = 12

Step 1: substitute the center into the equation

( x - 14)^2 + ( y - 9)^2 = r^2

Step 2: substitute the point into the equation

( x - 14)^2 +( y - 9)^2 = r^2

( 16 - 14)^2 + ( 12 - 9)^2 = r^2

2^2 + 3^2 = r^2

4 + 9 = r^2

13 = r^2

Step 3: subs the radius into the equation

( x - 14)^2 + ( y - 9)^2 = r^2

( x - 14)^2 + (y - 9)^2 = 13

Therefore, the equation of the circle is

( x - 14)^2 + ( y - 9)^2 = 13

8 0

3 years ago

Solve for y: 3d = 7y + 5

pogonyaev

Answer:

d = $\frac{7y+5}{3}$

Step by step explanation:

3d = 7y+5

Divide both sides by 3

$\frac{3d}{3}$ = $\frac{7y}{3}$ + $\frac{5}{3}$

Simplify

$\frac{7y+5}{3}$

7 0

2 years ago

I’m having trouble. Help me please!!!

Lady_Fox [76]

Hopes this helps:

Answer: No Solution

8 0

3 years ago