1) What is the prime factorization of 195?
A) 3 x 2 x 5 x 5
B) 3 x 7 x 7
0 3 x 5 x 13
D) 3 x 3 x 3 x 7

The branch of statistics that uses sample statistics to estimate a population parameter or test a hypothesis about such a parameter is best referred to as inferential statistics.

Therefore, the branch of statistics that uses sample statistics to estimate a population parameter or test a hypothesis about such a parameter is best referred to as inferential statistics.

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Answer:

73

Step-by-step explanation:

8² + ( 7 - 4 )² = 64 + 3² = 64 + 9 = 73

Answer:

73

Step by-step explanation:

I dont know how to explain it I just put it into a calculator

Answer: The third image.

Step-by-step explanation:

Avery gets paid every week:

Carmen get paid every week:

Using the cosine rule, the distance the plane has flown during Jack's phone call can be calculated by taking the square root of the sum of the squares of the initial and final distances, minus twice their product, multiplied by the cosine of the angle difference.

To determine the distance the plane has flown during Jack's phone call, we can use the cosine rule in trigonometry.

The cosine rule relates the lengths of the sides of a triangle to the cosine of one of its angles.

Let's denote the initial distance from Jack to the plane as d1 and the final distance as d2.

We know that the altitude of the plane remains constant at 2400 meters.

According to the cosine rule:

\(d^2 = a^2 + b^2 - 2ab \times cos(C)\)

Where d is the side opposite to the angle C, and a and b are the other two sides of the triangle.

For the initial angle of elevation (70°), we have the equation:

\(d1^2 = (2400)^2 + a^2 - 2 \times 2400 \times a \timescos(70)\)

Similarly, for the final angle of elevation (50°), we have:

\(d2^2 = (2400)^2 + a^2 - 2 \times 2400 \times a \times cos(50)\)

To find the distance the plane has flown, we subtract the two equations:

\(d2^2 - d1^2 = 2 \times 2400 \times a \times (cos(70) - cos(50))\)

Now we can solve this equation to find the value of a, which represents the distance the plane has flown.

Finally, we calculate the square root of \(a^2\) to find the distance in meters.

It's important to note that the angle of elevation assumes a straight-line path for the plane's movement and does not account for any changes in altitude or course adjustments that might occur during the phone call.

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Answer:

16

Step-by-step explanation:

4 over 2

x over 8

then cross mulitply then divide

Answer:

false

Step-by-step explanation:

1/8 = .125

2/4 = .5

therefore 1/8 does not = 2/4

To find a quadratic equation with the y-intercept and vertex, follow these steps: identify the coordinates of the y-intercept and vertex, substitute them into the general form of the quadratic equation, solve for the coefficients, and substitute the coefficients back into the equation. For example, if the y-intercept is (0, 3) and the vertex is (-2, 1), the quadratic equation would be y = x^2 + x + 3.

To find a quadratic equation with the y-intercept and vertex, we can follow these steps:

For example, let's say the y-intercept is (0, 3) and the vertex is (-2, 1). We can substitute these coordinates into the general form of the quadratic equation:

3 = a(0)^2 + b(0) + c

1 = a(-2)^2 + b(-2) + c

Simplifying these equations, we get:

c = 3

4a - 2b + c = 1

By substituting c = 3 into the second equation, we can solve for a and b:

4a - 2b + 3 = 1

4a - 2b = -2

2a - b = -1

By solving this system of equations, we find a = 1 and b = 1. Substituting these values back into the general form of the quadratic equation, we obtain the final equation:

y = x^2 + x + 3

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To find a quadratic equation with a given y-intercept and vertex, you need the coordinates of the vertex and one additional point on the curve.

Example:

Suppose we want to find a quadratic equation with a y-intercept of (0, 4) and a vertex at (2, -1).

To find a quadratic equation with a given y-intercept and vertex, you can use the vertex form of a quadratic equation and substitute the coordinates to obtain the equation. Then, use the y-intercept to find an additional point on the curve and solve a system of equations to determine the coefficients. Finally, substitute the coefficients into the standard form of the quadratic equation to get the final equation.

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Answer is 4 because

(-2)-(4)=2

Distance of the sides is given by,  xy=\(\sqrt{61}\),wx=\(\sqrt{50}\),wy=\(\sqrt{61}\)

The distance between two points is the length of the line segment joining the two points. The formula for distance is given by,

\(d=\sqrt{(x_{1} -x_{2})^{2} +( y_{2} -y_{1}})^{2} }\)

Here given the points as w(0,5),  x(0,-5) and y(-3,3) are the three vertices of the triangle,

distance between x and y is,

xy ⇒, \(d=\sqrt{(x_{1} -x_{2})^{2} +( y_{2} -y_{1}})^{2} }\) , \(d=\sqrt{(0 -(-5)^{2} +(3-(-3) )^{2} }\)  = \(\sqrt{61}\)

distance between w and x is,

wx ⇒ \(d=\sqrt{(w_{1} -w_{2} )^{2} +(x_{1} -x_{2})^{2} }\), \(d=\sqrt{(0-5)^{2}+(0-(-5))^{2} }\) = \(\sqrt{50 }\)

distance between w and y is,

wy⇒\(d=\sqrt{(w_{1} -w_{2} )^{2} +(y_{1} -y_{2})^{2} }\), \(d=\sqrt{(0-5 )^{2} +(-3-3)^{2} }\) = \(\sqrt{61}\)

Hence, xy=\(\sqrt{61}\),wx=\(\sqrt{50}\),wy=\(\sqrt{61}\)

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This student performed better than 68% of the other test-takers in the verbal part and better than 27% in the quantitative part.

Given,

Test-taker scored at the 68th percentile for their verbal grade and at the 27th percentile for their quantitative grade .

Now,

68% percentile : 68% scores equal or less .

27% percentile : 27^ scored equal or less .

Thus option D

This student performed better than 68% of other test taker in verbal and better than 27% in quantitative part .

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Answer:

116 miles

Step-by-step explanation:

The word "altogether" indicates that we need to use addition. So we should add 78 and 38 to get 116.

78 + 38 = 116

Answer:

3x² + 4x + 8 = 0

Step-by-step explanation:

Standard form of quadratic equation is

ax²+bx+c=0

standard form of quadratic equation 3x²+4x+7=-1 is

3x² + 4x + 7 = -1

3x² + 4x + 7 + 1 = 0

3x² + 4x + 8 = 0

Answer:

Step-by-step explanation:

2

The money market account earns 8/4 = 2% interest per quarter.

In one year, there are 4 quarters.

so, the formula to calculate the balance after 8 years is:

A = P (1 + r/n)^(nt)

where A is the final balance, P is the principal (initial investment), r is the annual interest rate, n is the number of times interest is compounded per year, and t is the number of years the money is invested for.

Substituting in the given values,

A = 1000 (1 + .02)^(4*8)

A = 1000 (1.02)^32

A = 1000 (1.8587)

A = 1858.7

So after 8 years, Ed will have earned $1858.7.

BAnswer:hhbhb

Step-by-step explanation:

The original endpoints of the segment are the ones in option A:

C (4, 1) D (2, 4)

If we have a point (x, y), and we dilate it with a scale factor k centered at the origin, the new coordinates will be (k*x, k*y)

Here te scale factor is 2, then if:

C = (x, y), we have that:

(2x, 2y) = (8, 2)

Then:

C = (8/2, 2/2) = (4, 1)

And for the other point we have:

(2x, 2y) = (4, 8), then:

D = (4/2, 8/2) = (2, 4)

Thus, the correct option is the first one.

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Answer:

2

Step-by-step explanation:

Use slope formula: (y2-y1)/(x2-x1)

(14-6)/(8-4) = 8/4 = 2

The gradient is 2

Answer: Sali gets 6 cakes. Jane gets 3 cakes. Simon in the end keeps 21 cakes.

Step-by-step explanation: 1/5 of 30 is 6 so if Sali gets 1/5 then Sali should get 6 cakes. 10% of 30 is 3 so if Jane gets 10% then she should get 3 cakes. Sali and Jane together get 9 cakes so Simon has 21 cakes left.

Answer:

288

Step-by-step explanation:

1 foot= 12 inches

24x12=288

Answer:288

Step-by-step explanation:24x12=288 hope this helps

To find the volume of a solid obtained by rotating a region around the x-axis, you can use the disk or washer method. Divide the region into small disks or washers and find the volume of each by integrating over the interval.

Let's look at the part of the region between x=0 and x=1. To rotate this part around the y-axis, we'll need to find the radius of each shell. The radius of each shell is just the distance from the y-axis to the point on the curve, so it's equal to x. The height of each shell is just the height of the region, which is given by y. So the volume of this part of the region is: V1 = ∫[0,1] 2πxy dx. The part of the region between x=1 and x=4. To find the radius of each shell, we'll need to use the equation of the circle x^2 + y^2 = 4. Solving for y, we get y = √(4-x^2). So the radius of each shell is equal to √(4-x^2). The height of each shell is still just y. So the volume of this part of the region is: V2 = ∫[1,4] 2πy√(4-x^2) dx

The part of the region between x=4 and x=5. To find the radius of each shell, we'll need to use the equation of the line y=x-4. So the radius of each shell is equal to x-4. The height of each shell is still just y. So the volume of this part of the region is: V3 = ∫[4,5] 2πy(x-4) dx. Adding up these three volumes, we get the total volume: V = V1 + V2 + V3

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54  pages are needed to hold all of his cards , if  Ricky has 648 baseball cards he wants to put them in an album if each page of the album holds 12 cards

Ricky has 648 cards , and each page of the album holds 12 cards. Which means, if each page holds 12 cards; One page will hold 12 cards, the second page, another 12 cards and so on.

Hence, 2 pages will hold 12+12 cards which is 24 cards. 3 pages will hold, 12+12+12 = 36 cards

Now, to get how much pages will hold 648 cards, we divide 648 by 12

648/12= 54 pages

Hence, if  Ricky has 648 baseball cards he wants to put them in an album if each page of the album holds 12 cards then 54  pages are needed to hold all of his cards

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Answer:

6.25 hours

Step-by-step explanation:

pages per hour

pages/hour

90/2.5 = 36

36 pages per hour

225 / 36 = 6.25 hours

Answer:

6.25 hours

Step-by-step explanation:

2 and half hours = 2.5 hours

Proportions:

90 pages  ⇔  2.5 hours

225 pages  ⇔  E hours

E = 225*2.5/90

E = 6.25 hours

6.25 hours = 6 and 1 quarter hours

Answer;

The product is estimated to be 24,490,000

Explanation;

Here we want to round the factors and estimate the product.

3,108 can be written as 3,100

7,942 can be written as 7,900

So the product can be written as;

3100 * 7900 = 24,490,000

Answer:

b is your answer

Step-by-step explanation:

Answer:

keep it simple C

Step-by-step explanation:

Answer:

Step-by-step explanation:

There are 15 circles and 6 squares.

Total shapes:

Ratio of squares to total shapes:

Answer:

the answer is 2:7

Step-by-step explanation:

6÷3 : 21÷3

=2:7

The solution to the system of equations x - 2y = -7 and x + 2y = -3 is x = -5 and y = 1.

To solve the system of equations:

Equation 1: x - 2y = -7

Equation 2: x + 2y = -3

We can use the method of elimination to eliminate one variable and solve for the other. In this case, we'll eliminate the variable "x."

Adding Equation 1 and Equation 2 eliminates the "x" term:

(x - 2y) + (x + 2y) = (-7) + (-3)

2x + 0 = -10

2x = -10

x = -10/2

x = -5

Now that we have found the value of "x," we can substitute it back into one of the original equations to solve for "y." Let's substitute it into Equation 1:

-5 - 2y = -7

-2y = -7 + 5

-2y = -2

y = -2/(-2)

y = 1

Therefore, the solution to the system of equations is x = -5 and y = 1. This means that the two equations intersect at the point (-5, 1) on the coordinate plane.

In summary, the solution to the system of equations x - 2y = -7 and x + 2y = -3 is x = -5 and y = 1.

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