In this subtraction, PR5T and 47Y6 represent 4-digit numbers. What number does PR5T represent?

PR5T - 47Y6 = 1998

Answer:

The correct option is (D).

Step-by-step explanation:

The p-value is well defined as per the probability, [under the null hypothesis (H₀)], of attaining a result equivalent to or more extreme than what was truly observed.

A small p-value (typically ≤ 0.05) specifies solid proof against the null hypothesis (H₀), so you discard H₀.

A large p-value (> 0.05) specifies fragile proof against the H₀, so you fail to discard H₀.

The hypothesis is defined as follows:

H₀: The slope of the regression line is 0, i.e. β = 0.

Hₐ: The slope of the regression line is greater than 0, i.e. β > 0.

A scatter-plot of the measurements taken from 18 randomly selected college athletes displayed a strong positive linear relationship between the two variables; lean body mass and maximal oxygen uptake.

The significance level of the test is, α = 0.05.

The p-value of the test is, p-value = 0.04

As the p-value = 0.04 < α = 0.05, we reject the null hypothesis.

So, it can be concluded that there is a statistical evidence of a relationship between lean body mass and maximal oxygen uptake for college athletes.

Since the scatter-plot shows a strong positive linear relationship, it implies that as the an increase in lean body mass causes an increase in maximal oxygen uptake for college athletes.

Thus, the correct option is (D).

Answer:

306 square inches

Step-by-step explanation:

The surface are of a triangular prism is given as:

A = ab + 3bh

where a = Length of side

b = base length

h = height of the prism

If the dimensions are 3 times as great, that means a becomes 3a, b becomes 3b and h = 3h

Therefore, the new surface area becomes:

A1 = (3a * 3b) + 3(3b * 3h) = 9ab + 27bh

A1 = 9(ab + 3bh)

=> A1 = 9A

The surface area of the initial prism is 34 square inches, therefore, the surface area of the new prism will be:

A1 = 9 * 34 = 306 square inches

Answer:

x = - 1

Step-by-step explanation:

[tex]\frac{x-7}{x}=6\\ \\x-7=6x\\\\-7=6x+x\\\\7x=-7\\\\x=-1[/tex]

Answer:x=-7 Or x=-1

Step-by-step explanation:

x-7/x=6

(x^2-7)/x=6

Collect like terms

x^2-7=6x

Arrange the quadratic equation

x^2-6x-7=0

x^2+x-7x-7=0

x(x+1)-7(x+1)=0

(x-7)(x+1)=0

x-7=0. x+1=0

x=7 x=-1

Answer:

f/g(x) 1/x x=0

Step-by-step explanation:

f/g 1/x+2

x+2=0

-2      -2

x=-2

Answer:

25L

Step-by-step explanation:

19396.5 km - 19034.0 km = 362.5‬ km travled

362.5 km / 14.5 km/L = 25L

Answer: Exact Form:

(Radical 5) over 8

Decimal Form:

0.27950849

…

0.27950849

…

Step-by-step explanation:

Answer:

  C.  (√5)/8

Step-by-step explanation:

  [tex]\sqrt{\dfrac{5}{64}}=\dfrac{\sqrt{5}}{\sqrt{64}}=\boxed{\dfrac{\sqrt{5}}{8}}[/tex]

N=8

1/2 x (8+4) = 6

1/2 x 12 = 6

Answer:

  -3

Step-by-step explanation:

An increase in x-value from 9 to 10 is an increase of 1 unit. The slope of -7 tells you that the corresponding change in y will by -7 units:

  v = 4 -7 = -3

The value of v is -3.

_____

Alternate solutions

You can see this easily on a graph, or you can use the equation of the line. We have a point and a slope, so the point-slope form is useful.

  y = m(x -h) +k

  y = -7(x -9) +4

For x=10, the value of y is ...

  v = -7(10 -9) +4 = -7 +4

  v = -3

Answer:

B

Step-by-step explanation:

If we dilate point P with point P as center, it would become a line parallel to line m

I don't usually do calculus on Brainly and I'm pretty rusty but this looked interesting.

We have to turn K into the limits of integration on our integrals.

Clearly 0 is the lower limit for all three of x, y and z.

Now we have to incorporate

x+y+z ≤ 1

Let's do the outer integral over x.  It can go the full range from 0 to 1 without violating the constraint.  So the upper limit on the outer integral is 1.

Next integral is over y.  y ≤ 1-x-z.   We haven't worried about z yet; we have to conservatively consider it zero here for the full range of y.  So the upper limit on the middle integration is 1-x, the maximum possible value of y given x.

Similarly the inner integral goes from z=0 to z=1-x-y

We've transformed our integral into the more tractable

[tex]\displaystyle \int_0^1 \int_0^{1-x} \int _0^{1-x-y} (x^2-z^2)dz \; dy \; dx[/tex]

For the inner integral we get to treat x like a constant.

[tex]\displaystyle \int _0^{1-x-y} (x^2-z^2)dz = (x^2z - z^3/3)\bigg|_{z=0}^{z= 1-x-y}=x^2(1-x-y) - (1-x-y)^3/3[/tex]

Let's expand that as a polynomial in y for the next integration,

[tex]= y^3/3 +(x-1) y^2 + (2x+1)y -(2x^3+1)/3[/tex]

The middle integration is

[tex]\displaystyle \int_0^{1-x} ( y^3/3 +(x-1) y^2 + (2x+1)y -(2x^3+1)/3)dy[/tex]

[tex]= y^4/12 + (x-1)y^3/3+ (2x+1)y^2/2- (2x^3+1)y/3 \bigg|_{y=0}^{y=1-x} [/tex]

[tex]= (1-x)^4/12 + (x-1)(1-x)^3/3+ (2x+1)(1-x)^2/2- (2x^3+1)(1-x)/3[/tex]

Expanding, that's

[tex]=\frac{1}{12}(5 x^4 + 16 x^3 - 36 x^2 + 16 x - 1)[/tex]

so our outer integral is

[tex]\displaystyle \int_0^1 \frac{1}{12}(5 x^4 + 16 x^3 - 36 x^2 + 16 x - 1) dx[/tex]

That one's easy enough that we can skip some steps; we'll integrate and plug in x=1 at the same time for our answer (the x=0 part doesn't contribute).

[tex]= (5/5 + 16/4 - 36/3 + 16/2 - 1)/12[/tex]

[tex]=0[/tex]

That's a surprise. You might want to check it.

Answer: 0

We have been given that Morgan is throwing a pizza party. She has 1 7/8 ​ pounds of cheese available and she needs 1/5 pound of cheese to make each pizza. We are asked to find the number of full pizzas that Morgan can make with the amount of cheese she has.

To solve our given problem, we will divide total amount of cheese by amount of cheese used to make each pizza.

[tex]\text{Number of pizzas}=1\frac{7}{8}\div \frac{1}{5}[/tex]

[tex]\text{Number of pizzas}=\frac{15}{8}\div \frac{1}{5}[/tex]

Now we will convert our division problem into multiplication problem by flipping the 2nd fraction.

[tex]\text{Number of pizzas}=\frac{15}{8}\times \frac{5}{1}[/tex]

[tex]\text{Number of pizzas}=\frac{75}{8}[/tex]

[tex]\text{Number of pizzas}=9\frac{3}{8}[/tex]

We are asked to find the number of full pizzas and we can see that Morgan can make 9 full and [tex]\frac{3}{8}[/tex] pizzas.

Since there are 9 full pizzas, therefore, Morgan can make 9 full pizzas with the amount of cheese she has.

Answer:

about 173⁰

Step-by-step explanation:

because it's very close to 180⁰ but isnt it, I'd say between 170 and 180

173 to be safe

Answer:

ok

Step-by-step explanation:

Answer:

As you say

Step-by-step explanation:

Answer:  C   (-2, 2), (1, -1), (3, 1). (2,4)

It will help to rotate the image so the x-axis is horizintal and the y-axis is vertical.

Step-by-step explanation:

Imagine the prefigure twirling on a parallel bar like a gymnast.

When it's up-side down the point that was at  (1,1) flips to (1. -1) and the point that was at  (3 -1) flips to (3, 1)

As you chech your choices, that knocks out most of the other possibilities.

But you should still verify the other cocorinates.

Hint: if the reflection is across the x-axis, the x values will be the same in the pre-image and the reflection, the y- values will change accorfing to their distance from the x-axis.

Answer:

Over Estimate of the actual product.

Step-by-step explanation:

360*68= 24,480

The estimate of 28,000 is larger than the actual product 360 and 68  which is 24480, which means that the estimate is an over estimate (an over estimate means that the number you estimated is bigger than the actual number, and an under estimate is when the estimate is smaller than the actual number, Just FYI)

Answer:

4/15

Step-by-step explanation:

The total number of spins completed is 6+8+7+9 = 30

The letter B came up 8 times

P(B) = number of B's over total

P(B) = 8/30 = 4/15

Answer:

[tex]=24[/tex]

Step-by-step explanation:

[tex]\left(8-4\right)!\\\mathrm{Subtract\:the\:numbers:}\:8-4=4\\=4!\\\eq \mathrm{Apply\:factorial\:rule}:\quad \:n!=1\cdot 2\cdot 3\cdot \ldots \cdot \:n\\4!=1\cdot \:2\cdot \:3\cdot \:4\\=1\cdot \:2\cdot \:3\cdot \:4\\\mathrm{Multiply\:the\:numbers:}\:1\cdot \:2\cdot \:3\cdot \:4=24\\=24[/tex]

The required value of factorial (8 - 4)! is given as 24.

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

As given in the question,
= (8 - 4)!

Simplifying the above expression,
= 4!
= 4 × 3 × 2 × 1
= 24

Thus, the required value of factorial (8 - 4)! is given as 24.

Learn more about simplification here:

https://brainly.com/question/12501526

#SPJ2

Answer:

Step-by-step explanation:

-6x + 6y = -12

6x + 6y = -36

12y = -48

y = -4

3x - 12 = -18

3x = -6

x = -2

(-2, -4)

Answer:

5/12

Step-by-step explanation:

Answer:

5/12.

Step-by-step explanation:

i have had this before so i already know the answer.

Answer:

Null hypothesis: u = 863

Alternate hypothesis (H1): u < 863

Step-by-step explanation:

a. Null hypothesis: u = 863

The null hypothesis implies that the average caloric content of Virginia School lunches is equal to 863.

b. Alternate hypothesis: u < 863

The alternate hypothesis implies that the average caloric content of Virginia School lunches is less than 863, that is, it drops significantly.

Answer: C electricity

Step-by-step explanation:

It is

Answer:

The probability that all compressors are off = P(A ∩ B') = 0.18

Step-by-step explanation:

Event A is denoted to reciprocal compressor (R) that is always off.

Event B is denoted that at least one of the screw type of compressor is always on.

P(A) = Probability that the reciprocal compressor is off.

P(A') = Probability that the reciprocal compressor is on.

P(B) = Probability that at least one of the screw type of compressor is on.

P(B') = Probability that at least one of the screw type of compressor is off.

P(A ∩ B) = 45% = 0.45

P(A ∪ B) = 93% = 0.93

P(U) = P(A ∪ B) + P(A' ∩ B')

1 = 0.93 + P(A' ∩ B')

P(A' ∩ B') = 1 - 0.93 = 0.07

The probability that all compressors are off is given as P(A ∩ B')

P(A) = P(A n B') + P(A n B)

P(B) = P(A n B) + P(A' n B)

The question asks us to assume that all outcomes in event B are equally likely.

The possible outcomes in event B include

- The two compressors are on

- First compressor is on, second compressor is off

- Second compressor is on, first compressor is off

- both compressors are off

Since all the outcomes are equally likely, the probability that at least one of the two compressors is on = (3/4) = 0.75 = P(B)

P(B) = P(A n B) + P(A' n B)

0.75 = 0.45 + P(A' n B)

P(A' n B) = 0.75 - 0.45 = 0.30

P(A ∪ B) = P(A ∩ B') + P(A' ∩ B) + P(A ∩ B)

0.93 = P(A ∩ B') + 0.30 + 0.45

P(A ∩ B') = 0.93 - 0.30 - 0.45 = 0.18

Hope this Helps!!!

Answer:

You have to use this equation: [tex]a^{2} + b^{2} -c^{2}[/tex]

Step-by-step explanation:

C is the hypotenuse but you need another one  so you got to do

[tex]x^{2} +8^{2} =17^{2}[/tex]

now you have to find [tex]x^{2}[/tex] which is

[tex]x^{2} = 17^{2} - 8^{2}[/tex]

[tex]x^{2} = 289 - 64[/tex]

[tex]x^{2} = 225[/tex]

[tex]x = \sqrt{255}[/tex]

[tex]x = 15[/tex]

Answers the answer for question one is 3 , for question number two the answer is 9 and the answer for the last question is 24

Step-by-step explanation:

The radius of the cone is 3ft

The base area of the cone is 28.26ft²

The volume of the given cone is 75.36ft³

The formula for calculating the volume of a cone is expressed as:

[tex]V = \frac{1}{3} \pi r^2 h[/tex]

r is the base radius

h is the height of the cone

V is the volume of the cone

From the diagram, the base diameter is 6 ft

Base radius = 6/2 = 3ft

The area of the base of the cone is [tex]\pi r^2 h[/tex]

Base area = [tex]3.14 \times 3^2\ = 28.26ft^2[/tex]

Get the required volume of the cone

Volume = Base area/3

Volume = [tex]\frac{1}{3} \times 28.26 \times 8 = 75.36ft^3[/tex]

Hence the volume of the given cone is 75.36ft³

Learn more here: https://brainly.com/question/24288245

Answer:

B) (-3,4)

Step-by-step explanation:

I graphed the function on the graph below to show you that vertex of the function.

If this answer is correct, please make me Brainliest!

The answer is B because it appears on my graphing calculator as this.

Answer:

Answer: B

Step-by-step explanation:

The number given is 37.62. So, by rounding to the nearest hundredths the number becomes 37.612 and this can be determined by using the rules of rounding off to the nearest hundredths.

Given :

Number - 37.62

The following steps can be used to round off any number to the nearest hundredth:

Step 1 - In the thousandths place value analyze that digit to round off a decimal.

Step 2 - If the value is 5 or more than 5 in the thousandth place then the digit is increased by 1 which is at the hundredth place and in the thousandth place digit and thereafter becomes zero.

Now, the number given is 37.62. So, by rounding to the nearest hundredths the number becomes 37.612.

Therefore, the correct option is B) 37.612.

For more information, refer to the link given below:

https://brainly.com/question/2096984

Answer: 136°

Step-by-step explanation:

In this angle relationship, it is a supplementary angles. because the parallel lines are separated by a line, the 2 angles make 180°.

180°=44°+x°

x=136°

Answer:

7 /120

Step-by-step explanation:

7/10 ÷ 12

Copy dot flip

7/10 * 1/12

7 /120

Answer:

0.058333

Step-by-step explanation:

Answer:

26.31 units

Step-by-step explanation:

Given: Points [tex](-10,12),(-6,-14)[/tex]

To find: Distance between the given points

Solution:

Let [tex](x_1,y_1)=(-10,12)\,,\,(x_2,y_2)=(-6,-14)[/tex]

The distance formula is used to find the distance between two points [tex](x_1,y_1),(x_2,y_2)[/tex]

According to distance formula,

Distance = [tex]\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

[tex]\sqrt{(-6+10)^2+(-14-12)^2}\\ =\sqrt{16+676}\\ =\sqrt{692}\\ =26.31[/tex]

So, distance between the given points is 26.31 units

Answer:

635

Step-by-step explanation:

Answer:

634.6 cm

Step-by-step explanation:

f^2 = d^2 + e^2 - 2(d)(e)cos(angle)

f^2 = (410)^2 + (300)^2 - 2(410)(300)cos(126)

f^2 = 402695 and take the square root