Is this correct?
Thank you!

Step-by-step explanation:

i hope this can help you.

Answer:

2sqrt(3),-2sqrt(3)

Step-by-step explanation:

12-x^2=0

-x^2=-12

x^2=12

x=-sqrt(12),sqrt(12)

x=2sqrt(3),-2sqrt(3)

Answer:

Although this is the math forum, I can still answer this

Step-by-step explanation:

Sad and terrible parts of history show our mistakes and the good parts show our improvements from them. It is important to include all the parts so that modern society can learn from them.

Answer: D

Step-by-step explanation:

The test statistic is t = 1.14.

The Central Limit Theorem establishes that, for a normally distributed random variable X, with mean  and standard deviation , the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean  and standard deviation .

here, we have,

Before testing the hypothesis, we need to understand the central limit theorem and subtraction of normal variables.

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

For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean  and standard deviation

Subtraction between normal variables:

When two normal variables are subtracted, the mean is the difference of the means, while the standard deviation is the square root of the sum of the variances.

From a random sample of 35 customers at Store M, the average amount spent was $300 with standard deviation $40.

This means that , μ_m = 6.761

From a random sample of 40 customers at Store V, the average amount spent was $290 with standard deviation $35.

This means that , μ_v = 5.534

Assuming a null hypothesis of no difference in population means

At the null hypothesis, we test that there is no difference, that is, the subtraction of the means is 0. So

H₀ = 0

At the alternate hypothesis, we test if there is difference, that is, the subtraction of the means is different of 0. So

H₁ ≠ 0

The test statistic is:

t = X - μ / s

In which X is the sample mean,  is the value tested at the null hypothesis, and s is the standard error.

0 is tested at the null hypothesis:

This means that μ= 0

From the samples:

X = 10

s = 8.737

The test statistic is t = 1.14.

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Complete question:

A two-sample t-test for a difference in means will be conducted to investigate whether the average amount of money spent per customer at Department Store M is different from that at Department Store V. From a random sample of 35 customers at Store M, the average amount spent was $300 with standard deviation $40. From a random sample of 40 customers at Store V, the average amount spent was $290 with standard deviation $35. Assuming a null hypothesis of no difference in population means, what is the test statistic for the appropriate test to investigate whether there is a difference in population means?

Answer:

Step-by-step explanation:

To find the highest point we use t = -b/2a (because that's the equation used to find the maximum of the function which is the maximum height the rocket reaches before heading back down ( aka highest point of the parabola at the turning point)

f(t)  = -4.9t^2 +15 +10

A = -4.9

B  = 15

C=10

Plug it in

-15/2(-4.9)   = 1.53 seconds

(In case you get confused 15 turns negative because b in the equation has a - symbol in front. If you had -15 as B you would put -(-15) making it positive)

Hope this is helpful

1.53seconds after launch, will the rocket reach its highest point.

In mathematics, height is defined as the vertical distance from the top of an object to the bottom. Sometimes it is labeled as "height".

The term height in geometry refers to the measurement of an object along the y-axis in coordinate geometry.

Height is a way of measuring someone or something from the bottom to the top or from the head to the feet. In other words, height indicates how tall someone or something is. We can compare how tall we will be when we grow up. We often compare the average height of men and women in different countries.

Given:

f(t)=−4.9t2+15t+10

The vertex is the highest point of the function

when t= [tex]\frac{-b}{2a}[/tex]

          =[tex]\frac{-15}{2(-4.9)}[/tex]

          ≈ 1.53

f(t) is the maximum value

1.53seconds after launch, will the rocket reach its highest point.

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Answer:

41

Step-by-step explanation:

Arranged it in order

Answer:

41 because you have to rearrange the numbers from least to greatest and the median is the middle number

40,40,41,52,62

41 is the median

Step-by-step explanation:

step 1. #1 has no x

step 2. #2 has infinite solutions

step 3. #4 has y but no x

step 4. x^2 - x = 6 can be solved for x.

Answer:

13.9 mm

Step-by-step explanation:

To find the diagonal of the box, x, apply the following formula, d = √(l² + w² + h²)

Where,

d = x

l = 12 mm

w = 5 mm

h = 5 mm

Plug in the values

x = √(12² + 5² + 5²)

x = √194

x = 13.9 mm (nearest tenth)

Answer:

439(1+4/100x8=579.48

Answer:

Area = 74.1 square units

Step-by-step explanation:

Area of the composite figure = Area of the rectangle + Area of the semicircle

Area o the rectangle = Length × Width

                                   = 10 × 6

                                   = 60 square units

Area of the semicircle = [tex]\frac{1}{2}\pi r^{2}[/tex]

Here, r = radius of the semicircle

For the semicircle with radius = [tex]\frac{6}{2}[/tex] = 3 units

Area = [tex]\frac{1}{2}\pi (3)^{2}[/tex]

        = 4.5π

        = 14.14 units²

Total area of the composite figure = 60 + 14.14

                                                          = 74.14 square units                                                                                              ≈ 74.1 square units      

Answer:

x=5

Step-by-step explanation:

The angles of a trangle have to add up to 180 degrees. With that information, we can create an equation:

27+98+(10x+5)=180

125+10x+5=180

130+10x=180

-130         -130

______________

10x=50

/10   /10

x=5

Answer

here :)

Step-by-step explanation:

for 1) the answers are...

x       y

-6     -10

3      -1

-7     -11

0       -4  

-3     -7

for number 2 the answers are...

x    y

6   -2

1    -7

-8  -16

-7  -15

2   -6

for number 5 the answers are...

x    y

1    -6

2    -5

-6   -13

6    -1

-9   -16

for number 6 the answers are...

x   y

8   64

7   56

6   48

9   72

-8   -64

for number 9 the answers are...

x   y

2   -3

-9  -14

8   3

-5  -10

9    4

for number 10 the answers are...

x   y

5   -15

-9   27

7    -21

0    0

-3   9

Answer:

BC > AD

Step-by-step explanation:

The opposite side to BC is greater, therefore making m<BCD > m<BAD. Since the legs are congruent, this is the only difference that need-be mentioned.

As the opposite angle of a larger side of a triangle is larger hence

m∠BAD > ∠mBCD.

We know two similar planer figures are congruent when we have sides or angles or both that are the same as the corresponding sides or angles or both.

From the figure itself, ΔABD and ΔBCD share a common side BD.

Given, Side AB is congruent to side CD and Side AD is greater than side BC.

We know opposite angle of a larger side of the triangle is larger.

Therefore, m∠BAD > ∠mBCD.

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Answer:

the center is (2,-3)

the radius is √70

Answer:

x = 9

Step-by-step explanation:

1) a²+12²=15²

2) a²+144=225

3) a²=81

4)[tex]\sqrt{81\\}[/tex]=9

Answer:

A right circular cone can be intersected by some plane to produce circle, ellipse, hyperbola depending upon where the plane is crossing the cone.

But if the plane crosses at the vertex. Just one point is crossed.

Answer:

a point hope this helps

Answer:

Base:12

Volume:76.8

Step-by-step explanation:

The base is 3*8/2

which is 12

and the volume is base * height so

12*6.4

=76.8

Hope this helps :) Giving me brainiest would help a lot :))

Answer: A reflection of C (8,-4) would be (8,4).

Step-by-step explanation:

This is because it is crossing as the same over the x-axis. The reflection of C would be the same, just over the x axis, meaning the -4 would become 4. If it were over the y-axis, it would be (-8,-4). Hope this helps.

Answer:

-4x - 6 = -14

      + 6.  + 6

-4x = -8

——————

-4.      -4

—————

x = 2 :) copy it down like that :)

Step-by-step explanation:

Answer:

B. x = 4 and x = -10

Step-by-step explanation:

First, expand the equation

(x + 3)² = 49

(x + 3)(x + 3) = 49

x² + 6x + 9 = 49

Subtract 49 from both sides

x² + 6x -40 = 0

Factor

(x + 10)(x - 4) = 0

Solve

x + 10 = 0

x = -10

x - 4 = 0

x = 4

So, the correct answer is B. x = 4 and x = -10

Answer:

The answer is D

Step-by-step explanation:

You just use this equation to find it

A=2(wl+hl+hw)

Answer:

B and D

Step-by-step explanation:

It can be 6 degrees greater, so 0 + 6 = 6, or it can be 6 degrees lower, so 0- 6 = -6.

Answer: Hope this helps <3

Step-by-step explanation: B,C,D

answer:

240.25

step-by-step explanation:

two hundred forty - - > 240

twenty-five hundredths - - > .25

Answer:

$104

Step-by-step explanation:

12*3=36

36*2.00=72.00

16*2.00=32.00

72.00+32.00=104.00

Answer:

m = -10

Step-by-step explanation:

m = y2 - y1 / x2 - x1

m = 60-50 / -2 - -1

m = 10/ -1

m = -10

Answer:

-10

Step-by-step explanation:

We can use two points from the table to find our slope.

Remember, the slope formula is [tex]\frac{y2-y1}{x2-x1}[/tex]. We can use the points (-1,50) and (-2,60). Let's substitute the values into the formula.

[tex]\frac{60-50}{-2-(-1)}[/tex]. This gets us to [tex]\frac{10}{-1}[/tex], so our slope is -10.

Hope this helps!

Answer:

200 ÷ 2 = x

Step-by-step explanation:

Diego has 2 times as many a Lin. That means to find Lin's student number, we would  have to split 200 in half.

Hope this helps!

Answer:

C. Sphere

Volume:

Surface area:

B. Cylinder

Volume:

Surface area:

A. Right Cone

Volume:

Surface area: