9n - 7 = 5n - 19
What is n and why did you do that

Given:

The expression is

[tex](7-\sqrt{7})(-6+\sqrt{7})[/tex]

To find:

The product of the radical expression.

Solution:

We have,

[tex](7-\sqrt{7})(-6+\sqrt{7})[/tex]

Using distributive propertry, we get

[tex]=(7)(-6)+(7)(\sqrt{7})+(-\sqrt{7})(-6)+(-\sqrt{7})(\sqrt{7})[/tex]

[tex]=-42+7\sqrt{7}+6\sqrt{7}-7[/tex]

On combining like term, we get

[tex]=(-42+7)+(7\sqrt{7}+6\sqrt{7})[/tex]

[tex]=-49+13\sqrt{7}[/tex]

Therefore, the product of the given radical expression is [tex]-49+13\sqrt{7}[/tex].

y ≤ 5

i think this is the answer..

Answer:

Yoyo

Step-by-step explanation:

Answer:

Step 1 16+24-18

Step 2) 22

Step-by-step explanation:

Answer:

The answer is (-8/5,32) in point form or x=-8/5,y=32

Step-by-step explanation:

Solve for the first variable in one of the equations, then substitute the result into the other equation.

Answer:

a) 0.0016 = 0.16% probability that the sample mean is at least $30.00.

b) 0.8794 = 87.94% probability that the sample mean is greater than $26.50 but less than $30.00

c) 90% of sample means will occur between $26.1 and $28.9.

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal probability distribution

When the distribution is normal, we use the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. 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.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

In this question, we have that:

[tex]\mu = 27.50, \sigma = 7, n = 68, s = \frac{7}{\sqrt{68}} = 0.85[/tex]

a. What is the likelihood the sample mean is at least $30.00?

This is 1 subtracted by the pvalue of Z when X = 30. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

By the Central Limit Theorem, we have that:

[tex]Z = \frac{X - \mu}{s}[/tex]

[tex]Z = \frac{30 - 27.5}{0.85}[/tex]

[tex]Z = 2.94[/tex]

[tex]Z = 2.94[/tex] has a pvalue of 0.9984

1 - 0.9984 = 0.0016

0.0016 = 0.16% probability that the sample mean is at least $30.00.

b. What is the likelihood the sample mean is greater than $26.50 but less than $30.00?

This is the pvalue of Z when X = 30 subtracted by the pvalue of Z when X = 26.50. So

From a, when X = 30, Z has a pvalue of 0.9984

When X = 26.5

[tex]Z = \frac{X - \mu}{s}[/tex]

[tex]Z = \frac{26.5 - 27.5}{0.85}[/tex]

[tex]Z = -1.18[/tex]

[tex]Z = -1.18[/tex] has a pvalue of 0.1190

0.9984 - 0.1190 = 0.8794

0.8794 = 87.94% probability that the sample mean is greater than $26.50 but less than $30.00.

c. Within what limits will 90 percent of the sample means occur?

Between the 50 - (90/2) = 5th percentile and the 50 + (90/2) = 95th percentile, that is, Z between -1.645 and Z = 1.645

Lower bound:

[tex]Z = \frac{X - \mu}{s}[/tex]

[tex]-1.645 = \frac{X - 27.5}{0.85}[/tex]

[tex]X - 27.5 = -1.645*0.85[/tex]

[tex]X = 26.1[/tex]

Upper Bound:

[tex]Z = \frac{X - \mu}{s}[/tex]

[tex]1.645 = \frac{X - 27.5}{0.85}[/tex]

[tex]X - 27.5 = 1.645*0.85[/tex]

[tex]X = 28.9[/tex]

90% of sample means will occur between $26.1 and $28.9.

Answer:

19.6 Don't ask how just give brainliest

Answer:

19.6

Step-by-step explanation:

Answer:

c = 6.1

Step-by-step explanation:

Given that: B = 18° , C = 152°,  and b = 4.

The missing side, c, can be determined by applying the sine rule which states that:

[tex]\frac{b}{Sin B}[/tex] = [tex]\frac{c}{Sin C}[/tex]

[tex]\frac{4}{Sin 18^{o} }[/tex] = [tex]\frac{c}{Sin 152^{o} }[/tex]

c = [tex]\frac{4* Sin 152^{o} }{Sin 18^{o} }[/tex]

 = [tex]\frac{1.8779}{0.3090}[/tex]

 = 6.0773

c = 6.1

Therefore,  the value of the missing side, c, is 6.1

Answer:

D. 4 (5 + 16)

Step-by-step explanation:

20 + 64 = 84

To solve this problem we have to simplify each of the expressions in the answer column:

A. = 80

(16 + 60 = 76) giving us

4 + 76 = 80

B. = 25

(5 + 16 = 21)

4 + 21 = 25

C. = 80

(16 + 60 = 76)

4 + 76 = 80

D. = 84

(5 + 16 = 21)

4 x 21 = 84

So The correct option is D. 4 (5 + 16)

Answer:

i believe its b. but im not 100% sure though!

Step-by-step explanation:

please mark brainliest, give a thanks, and rate a five stars if this helped! feel free to ask anymore questions if you need any more help! thanks!

(lol optional): add my sc: tealyn337

Answer:

x=13

Step-by-step explanation:

Answer:

13

Step-by-step explanation:

using distributive property:

9x-36-7x=32-2x-16

2x-36=16-2x

4x=52

x= 13

plz brainliesttt

Answer:

2 oranges

Step-by-step explanation:

Two halves make a whole orange, and since there's four of them, they are eating 2 oranges.

Answer:they would have eaten 2 because 1/2+1/2 is a whole and since there are 4 boys eating 1/2 of an orange they would have eaten 2 oranges

Answer:

12 miles

Step-by-step explanation:

sometimes looking at the units is helpful.

How far Tristan will walk is measured in miles.

3 miles/hour * 4 hours has a unit of miles * hour/hour = miles

3*4 = 12

Answer:

12 Miles

Step-by-step explanation:

Multiply 3 by 4

Answer:

for the volume of the sphere its answer is 4πr³/3 which when converted to diameter will be 2(4πr³/3) as r=diameter/2 so diameter =2r

Answer:

4πr³/3

Step-by-step explanation:

When converted to diameter will be 2(4πr³/3) as r=diameter/2 so diameter =2r

Answer:

Ty for the free poiunts!

Step-by-step explanation:

You got the answer right LLO

Answer:

Yea the answer is right

Step-by-step explanation:

Answer:

[tex]x=1,CD=5[/tex]

Step-by-step explanation:

It's given that [tex]ABCD\cong FGHJ[/tex]. Because the side [tex]CD[/tex] corresponds with the side [tex]HJ[/tex], their lengths will be equal. Therefore, we have:

[tex]2x+3=3x+2,\\x=1[/tex]

Plugging [tex]x=1[/tex], we have:

[tex]CD=2(1)+3=5[/tex].

Answer:I’m trying to find it too

Step-by-step explanation:I don’t know what it is but I’m sure it’s 12-90

Answer:

[tex]\large\boxed{41.14 inches^2(2 d.p)}[/tex]

[tex]\large\boxed{41.1inches^2 (1 d.p)}[/tex]

Step-by-step explanation:

Important Information:

Area of a circle= [tex]\pi r^2[/tex]

Area of a triangle= [tex]\frac{base*height}{2}[/tex]

Diameter of a cirlce= [tex]2*radius[/tex]

Method:

The first step is to divide the shape into smaller shapes. In this case, we have a right -angled triangle and a semi-circle.

The next step is to work out the area of the triangle. Since we know the radius of the semi-circle is 3 inches, to work out the diameter we would simply multiply the radius of 3 by 2, this gives us 6 inches. This is because the radius is half of the diameter.

Now that we know the diameter of the semi-cirlce, we can begin to work out the area of the triangle. We can do this by first multiplying the base of 6 inches by the height of 9 inches, this gives us 54 inches squared. This however gives us the area of 2 of those triangles. To work out the area of that triangle, we would need to divide the value of 54 by 2, this gives us 27 inches squared.

The next step is to work out the area of the semi-circle. We can do this by multiplying pi by the radius of 3, squared, this gives us 28.27 inches squared (2 d.p). However, this is for a full circle and we need to work out the area of the semi-circle. We can do this by dividing the area of the circle, which is 28.27, by 2, this gives us 14.14 inches squared (2 d.p). This is because a semi-cirlce is half of a circle.

The final step is to add the Areas of the two shapes together. You can do this by adding the area of the triangle, which is 27 inches squared, to the area of the semi circle, which is 14.14 inches squared (2 d.p), this gives us 41.14 inches squared (2 d.p).

Step by Step:

1) Multiply 3 by 2.

[tex]3*2=6[/tex]

2) Multiply 6 by 9.

[tex]6*9=54 inches^2[/tex]

3) Divide 54 by 2.

[tex]54/2=27inches^2[/tex]

4) Multiply pi by 3 squared.

[tex]\pi*3^2=28.27 inches^2 (2 d.p)[/tex]

5) Divide 28.27 by 2.

[tex]28.27/2=14.14inches^2 (2 d.p)[/tex]

6) Add 27 to 14.14.

[tex]27+14.14=41.14inches^2 (2 d.p)[/tex]

Answer:

None of these

Step-by-step explanation:

because if we plug in every time we will gwt one solution of X

Answer:

[tex]y = 25x +1950[/tex]

Step-by-step explanation:

Given

[tex](x_1,y_1) = (30,2700)[/tex]

[tex](x_2,y_2) = (50,3200)[/tex]

Required

Determine the linear function

We start by calculating the slope (m)

[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

So, we have:

[tex]m = \frac{3200 - 2700}{50 - 30}[/tex]

[tex]m = \frac{500}{20}[/tex]

[tex]m = 25[/tex]

The equation is then calculated as:

[tex]y - y_1 = m(x - x_1)[/tex]

This gives:

[tex]y - 2700 = 25(x - 30)[/tex]

[tex]y - 2700 = 25x - 750[/tex]

Make y the subject

[tex]y = 25x - 750 + 2700[/tex]

[tex]y = 25x +1950[/tex]

Answer:

1, 5, 15

Step-by-step explanation:

First, I knew 5 was one of them because, 5 was the median and there were only three numbers. Next you have to find out the first and last number. Then, I looked at the mean. To get the mean, you have to add all of the numbers up and divide that by how many numbers there are. Since the mean is 7 and there are 3 numbers, I knew that the sum of all three numbers was 21 because, 21 divided by 3 is 7. Then I saw that the range of all the numbers was 14. The range is the difference between the largest and smallest number so I knew that the largest number subtracted by the smallest number had to be 14. Then, I saw that 15-1=14, and 1+5+15=21. So the three integers are, 1, 5 and 15.

Step-by-step explanation:

The longest side in a triangle is opposite the largest angle, and the shortest side is opposite the smallest angle.

So the smallest angle is <P.

Hope it may help :)

Answer:

B

Step-by-step explanation:

rules:

add outside the function : f(x) ± a;  will shift  a + up / a- down

add inside the function: f(x ± a); will shift a + left  / a- right

so if

f(x)  becomes f(x) -4  will be shifting down 4 units

Answer:

the 4th one hope this helps

Answer:

33% or 33.3% or 33.33%

Step-by-step explanation:

1/3 as a decimal is 1 divided by 3 which ends up being an infinite number: 0.33333333333333333333333...

But you can write it as 33% or 33.3% or 33.33%

Answer:

A = -11

B = 43

C = -324

Step-by-step explanation:

-5 - 6 = -11

35 + 8 = 43

-438 + 114 = -324

Step-by-step explanation:

since b = 8, it has to be

y = 2x + 8

that was the whole point of the exercise, as the general slope-intercept form is

y = mx + b

you determined m = 2 and b = 8, so there is your answer. I am not sure where your problem was, as you solved the actual important part yourself.

Answer:

D

Step-by-step explanation:

plug in both values into the equations, and whichever one works for both is the right answer

the required equation is, D. y= x+6

A straight line is an endless one-dimensional figure that has no width. It is a combination of endless points joined both sides of a point and has no curve.

Here, we have to points (-2,4) and, (2,8)

So, by using the formula of equation of straight line of two-point form, we get,

(y-y_1)/(x-x_1 )=(y_2-y_1)/(x_2-x_1 )

=>(y-4)/(x+2)=(8-4)/(2+2)

=>y-4=x+2

=>y=x+6

Hence, the required equation is, D. y= x+6

To learn more on Equation 0f Straight-Line click:

brainly.com/question/11116168

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