Find the value of 8!

For a standard normal distribution, the value of the z-score represented as c in P(-0.78≤Z≤c)=0.7657 is 0.0166

We want to find the p-value between 2 z-scores expressed as;

P(-0.78 < z < c) = 0.7657

To solve this, we will solve it as;

0/7657= 1 - [P(z < -0.78)  + P(z > c)]

From normal distribution table, we have that;

P(z < -0.78) =  0.217695

Thus;

0.7657 = 1 - (0.217695 + c)

c = 1 - 0.7657 - 0.217695

c = 0.0166

Thus, For a standard normal distribution, the value of the z-score represented as c in P(-0.78≤Z≤c)=0.7657 is 0.0166

Read more about p-value from z-score at; brainly.com/question/4621112

#SPJ1

If a data set contains three points, and two of the residuals are -10 and 20, the third residual is 10 (option B).

A residual is the difference between the observed value and the estimated value of the quantity of interest.

The residual of a data points should normally sum up to zero (0). This means the following applies:

-10 + 20 + x = 0

x = 10

Therefore, if data set contains three points, and two of the residuals are -10 and 20, the third residual is 10.

Learn more about residual at: https://brainly.com/question/27864993

#SPJ1

The component form of the vector that translates the top house figure to the bottom house figure is (6, -4).

The component form of a vector is known to be depicted as < x, y >.

Note that:

x  - tells the distance or how far to the right or left, a vector is known or seen to be going.

y -  tells the distance or how far to  the upper part or downward a vector is known or seen to be going.

From the question and looking at the image attached, we were able to obtain (-4,4) and (2, 0)

So:

⇒  (-4,4)  --------(-4+6)(4-4)-------(2,0)

⇒ (6,-4)

Hence, The component form of the vector that translates the top house figure to the bottom house figure is (6, -4).

Learn more about vector from

https://brainly.com/question/25705666

#SPJ1

Answer:

1.60

Step-by-step explanation:

Answer:

Step-by-step explanation:

Equivalent polar coordinates will have the same modulus and some multiple of 360° added to the argument, or the opposite modulus and some odd multiple of 180° added to the argument.

  a∠b° = a∠(b+360n)° = -a∠(b +180 +360n)°

Equivalents will be ...

  (2, (-60 +360n)°) = (2, 300°)

  (-2, (-60 +180 +360n)°) = (-2, -240°) = (-2, 120°)

Equivalents will be ...

  (-2, (240 +360n)°) = (-2, -120°)

  (2, (240 +180 +360n)°) = (2, -300°) = (2, 60°)

Using the z-distribution, the p-value for the test is of 0.0040.

The test statistic is given by:

[tex]z = \frac{\overline{x} - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]

In which:

For this problem, the parameters are given as follows:

[tex]\overline{x} = 33.8, \mu = 32, \sigma = 4.3, n = 40[/tex]

Hence the value of the test statistic is given by:

[tex]z = \frac{\overline{x} - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]

z = (33.8 - 32)/(4.3/sqrt(40))

z = 2.65.

Using a z-distribution calculator, with z = 2.65 and a right-tailed test, as we are testing if the mean is greater than a value, the p-value is of 0.0040.

More can be learned about the z-distribution at https://brainly.com/question/16313918

#SPJ1

Answer:

The correct answer is √2 (√√2)

Step-by-step explanation:

√8 = √(4.2) = 2 √2

√√8 = √(2√2) = √2 (√√2)

Answer:

2 √2 (C)

and to the second question the answer is..

1 (B)

9 (C)

Step-by-step explanation:

I answered it on ed 2022

Answer:

1,920 watts per circuit

Step-by-step explanation:

To find the load for 1 circuit (per circuit) we can divide 28,800 watts by 15 circuits

28800/15 = 1,920 watts per circuit

The amount of money in the account after 10 years is $278,814.10.

The first step is to determine the amount she has left to invest.

Amount invested = amount won - amount spent on vacation

$250,000 - $10,000 = $240,000

The second step is to determine the future value of the account. The formula for calculating future value:

FV = P (1 + r)^nm

240,000 x 1.00125^(12 x10) = $278,814.10

To learn more about future value, please check: https://brainly.com/question/18760477

#SPJ1

Answer:

5

Step-by-step explanation:

The midpoint of segment AB is (1, 1).

Substituting these coordinates into the equation of the line,

[tex]2(1)+3(1)-k=0 \\ \\ 5-k=0 \\ \\ k=5[/tex]

Answer:

The intervals represent the domain, or the values on the horizontal axis.

When x ≤ -3, the graph should form a straight line at y = 3. Because the interval includes x = -3, the rightmost part of the line should be capped with a closed dot. The line should continue for infinity to the left.

When -3 < x < 4, the graph should form a line with the equation (2x + 1). Because the interval does not include the endpoints, the endpoints should have open dots.

When x ≥ 4, the graph should form a straight line at y = -4. Because the interval includes x = 4, the leftmost endpoint should be a closed dot. The right of the line should continue for infinity.

**The included graph does not take the endpoints into account

Answer:

See attached for graph.

Step-by-step explanation:

Piecewise functions have multiple pieces of curves/lines where each piece corresponds to its definition over an interval.

Given piecewise function:

[tex]f(x)=\begin{cases}3 & \textsf{if }x\leq -3\\2x+1 & \textsf{if }-3 < x < 4 \\ -2 & \textsf{if } x\geq 4 \end{cases}[/tex]

Therefore, the function has three definitions:

[tex]f(x)=3 \quad \textsf{when x is less than or equal to 3}[/tex]

[tex]f(x)=2x+1 \quad \textsf{when x is more than -3 and less than 4}[/tex]

[tex]f(x)=-2 \quad \textsf{when x is more than or equal to 4}[/tex]

When graphing piecewise functions:

First piece of function

Substitute the endpoint of the interval into the corresponding function:

[tex]\implies f(-3)=3 \implies (-3,3)[/tex]

Place a closed circle at (-3, 3).

As this piece of the function is f(x) = 3 for any value of x that is less than or equal to -3, draw a horizontal straight line to the left from the closed circle.  Add an arrow at the end.

Second piece of function

Substitute the endpoints of the interval into the corresponding function:

[tex]\implies f(-3)=2(-3)+1=-5 \implies (-3,-5)[/tex]

[tex]\implies f(4)=2(4)+1=9 \implies (4,9)[/tex]

Place an open circle at (-3, -5) and (4, 9).

Join the points with a straight line.

Third piece of function

Substitute the endpoint of the interval into the corresponding function:

[tex]\implies f(4)=-2 \implies (4,-2)[/tex]

Place a closed circle at (4, -2).

As this piece of the function is f(x) = -2 for any value of x that is more than or equal to 4, draw a horizontal straight line to the right from the closed circle.  Add an arrow at the end.

Learn more about piecewise functions here:

https://brainly.com/question/28151925

https://brainly.com/question/11562909

The values of X and Y are 30 and 11 respectively

The figure that represents the complete question is added as an attachment

The given parameters are:

DH = X +3

HF  = 3Y

GH = 2X -5

HE = 5Y

From the attached parallelogram, we have:

DH = HF

GH = HE

Substitute the known values in the above equation

X + 3 = 3Y

2X - 5 = 5Y

Make X the subject in X + 3 = 3Y

X = 3Y - 3

Substitute X = 3Y - 3 in 2X - 5 = 5Y

2(3Y - 3) - 5 = 5Y

Expand

6Y - 6 - 5 = 5Y

Evaluate the like terms

Y = 11

Substitute Y = 11 in X = 3Y - 3

X = 3*11 - 3

Evaluate

X = 30

Hence, the values of X and Y are 30 and 11 respectively

Read more about parallelograms at:

https://brainly.com/question/3050890

#SPJ1

Answer: 184

(I am not sure if I have misunderstood the question, but the final answer I got was 184, which wasn't any one of the choices. I was wrong in understanding, please let me know and I will modify my answer)

Step-by-step explanation:

Given expression

6 (4 + 2)² - 32

Simplify values in the parenthesis

6 (6)² - 32

Simplify exponents

6 × 36 - 32

Simplify multiplication

216 - 32

Simplify subtraction

[tex]\Large\boxed{184}[/tex]

Hope this helps!! :)

Please let me know if you have any questions

The intercepts of the given equations is as given in the task content is; Choice B; (15,0,0),(0,10,0) ,(0,0,5).

The x-intercept of the given equation can be determined by setting values of y and z to zero.

The y-intercept can be determined by setting x and z to zero.

While the z-intercept can be determined by setting x and y to zero.

Consequently, the X-intercept of the given equations is; 2x +3(0) = 30; x = 15.

Therefore, we have; (15,0,0)

The y-intercept is therefore; 2(0) +3y = 30; 3y = 30; y = 30/3 = 10 and. we have; (0,15,0)

And hence, the z-intercept is; z = 30/6 = 5.

Read more on intercept;

https://brainly.com/question/1884491

#SPJ1

The area of the rectangle with a perimeter of 36 cm is determined as: 80.1  cm².

Area of a rectangle = (length)(width).

Angle of measure 78 degree enclosed by the diagonals of the rectangle

Perimeter = 36 cm

To find the area, we need to find the length and width of the rectangle using the trigonometric ratios.

A side of the rectangle = x cm

The other side = (36 - 2x)/2  = (18 - x) cm

Angle of the diagonal base = (180 - 78)/2 = 51°

Apply the tangent ratio to find x:

Tangent ratio is tan ∅ = opposite/adjacent side of a right triangle. We have the following,

∅ = 51°

Opposite side = x cm

Adjacent side = (18 - x) cm

Tan 51°  =  x/(18 - x)

1.235 = x/(18 - x)

1.235(18 - x) = x

22.23 - 1.235x = x

22.23 = x + 1.235x

22.23 = 2.235x

22.23/2.235 = 2.235x/2.235

x = 9.946 cm (one side length)

The other side length = 18 - x = 18 - 9.946 = 8.054 cm

Area of the rectangle = (9.946)(8.054)

Area of the rectangle = 80.1  cm²

Learn more about the area of rectangle on:

https://brainly.com/question/25292087

#SPJ1

Using the t-distribution, it is found that since the p-value is greater than 0.01, there is no evidence that the new machine should be rejected at the 0.01 significance level.

At the null hypothesis, it is tested if the average is not less than 25, that is:

[tex]H_0: \mu \geq 25[/tex]

At the alternative hypothesis, it is tested if the average is less than 25, that is:

[tex]H_1: \mu < 25[/tex]

The test statistic is given by:

[tex]t = \frac{\overline{x} - \mu}{\frac{s}{\sqrt{n}}}[/tex]

The parameters are:

Considering the situation described, the values of the parameters are given as follows:

[tex]\overline{x} = 24.97, \mu = 25, s = 2.16, n = 10[/tex]

Hence the test statistic is:

[tex]t = \frac{\overline{x} - \mu}{\frac{s}{\sqrt{n}}}[/tex]

[tex]t = \frac{24.97 - 25}{\frac{2.16}{\sqrt{10}}}[/tex]

t = -0.04

Using a t-distribution calculator, for a left-tailed test, as we are testing if the mean is less than a value, with 10 - 1 = 9 df and t = -0.04, the p-value is of 0.4844.

Since the p-value is greater than 0.01, there is no evidence that the new machine should be rejected at the 0.01 significance level.

More can be learned about the t-distribution at https://brainly.com/question/13873630

#SPJ1

Answer:

144

Step-by-step explanation:

24*6

Because this month she saved 6 times as MUCH money compared to last month

Answer:

calcium =1x40=40

chlorine=2x35=70

40+70=110

ca=40/110×100=36.36

when we approximate it become 36.4

thanks

Answer:

15 $1 bills

10 $5 bills

10 $10 bills

Step-by-step explanation:

Let x = number of $1 bills

"There are five fewer $5-bills than $1-bills."

The number of $5 bills is x - 5

"There are half as many $10-bills as $5-bills."

The number of $10 bills is (x - 5)/2.

A $1 bill is worth $1.

x $1 bills are worth x × 1 = x dollars

A $5 bill is worth $5.

x - 5 $5 are worth 5(x - 5) dollars.

A $10 bill is worth $10.

(x - 5)/2 $10 bills are worth 10(x - 5)/2 = 5(x - 5) dollars.

Now we add the value of each type of bills and set it equal to $115.

x + 5(x - 5) + 5(x - 5) = 115

x + 10(x - 5) = 115

x + 10x - 50 = 115

11x = 165

x = 15

There are 15 $1 bills.

$5 bills: x - 5 = 10 - 5 = 10

There are 10 $5 bills

$10 bills: (x - 5)/2 = (15 - 5)/2 = 5

There are 5 $10 bills

Answer: 15 $1 bills; 10 $5 bills; 10 $10 bills

Check:

First, we check the total value of the bills.

15 $1 bills are worth $15

10 $5 bills are worth $50

10 $10 bills are worth $50

$15 + $50 + $50 = $115

The total does add up to $115.

Now we check the numbers of bills of each denomination.

The number of $1 is 15.

The number of $5 is 5 fewer that 15, so it is 10.

The number of $10 bills is half the number of $5 bills, so it is 5.

All the given information checks out in the answer. The answer is correct.

The value of the expression 2n - 1 when n = 7 is 13.

2n - 1

when n = 7

2n - 1

= 2(7) - 1

= 14 - 1

= 13

Mathematical expression is an expression which involves the combination of numbers and variables in a valid way, in a function of addition, subtraction, multiplication, division and exponentiation

Therefore, the value of the expression 2n - 1 when n = 7 is 13.

Learn more about equation:

https://brainly.com/question/13729904

#SPJ1

Answer:

hcf is 2*5=10

lcm is 2*2*2*5*3*7*3

Answer:

-21-24/x

Step-by-step explanation:

f(x) is a function on his own which is f(x)=7x+8

we multiple it with another function which is g(x)=-1/x

that gives us (g*f)=-7-8/x

then multiple it by 3 we have -21-24x

In order to compare and contrast the steps of two different constructions using a compass, we simply take a note of the different steps followed in both the constructions.

How to compare and contrast the steps?

For both the constructions, observe the corresponding steps steps that have been performed in order.

Then, note down what similarity you find while constructing the two different constructions in the first step.

Once you know the the similarities, you can further trace down the differences in the procedure of the two constructions by observing the first step. This is how you can compare and contrast the first step of two different constructions using a compass.

This process can be followed for all the steps for comparing and contrasting two different constructions.

Learn more about constructions here:

https://brainly.com/question/8606089

#SPJ1

Answer:

b = 5

Step-by-step explanation:

All quadratic equations are formed in the format of [tex]a^{2}[/tex] + bx + c = 0

Using this formula, we can re-arrange the equation to fit the given format.

[tex]3x^{2}[/tex] - 2 = -5x
[tex]3x^{2}[/tex] + 5x - 2 = 0

5 is plugged in for "b" in this equation, therefore b = 5.

Using a calculator, the critical value for the t-distribution with a confidence level c=0.80 and sample size n=29 is of Tc = 1.3125.

It is found using a calculator, with two inputs, which are given by:

In this problem, the inputs are given as follows:

Hence, using a calculator, the critical value for the t-distribution with a confidence level c=0.80 and sample size n=29 is of Tc = 1.3125.

More can be learned about the t-distribution at https://brainly.com/question/27125917

#SPJ1

the statement is false, as there no exist a value of t such that cos(t) > 1.

Here we have the statement:

"There are values of t so that the equation cos(t) = 5/3"

Now, remember that the range of the sine and cosine equations is given by:

R: -1 ≤ y ≤ 1

And 5/3, the value in the statement, is larger than 1, which is the maximum in the range.

Then the statement is false, as there no exist a value of t such that cos(t) > 1.

If you want to learn more about cosine equations:

https://brainly.com/question/8120556

#SPJ1

Answer:

a) (1,6 x 150)/100 = 2,4 dollars

b) (11,3 x 950)/100 = 107,35 dollars

c) (0,29 x 2000)/100 = 5,8 dollars

Answer: I believe the answer is 25.

Step-by-step explanation:

You convert 1/5 to a decimal.

1/5 = 0.2

then you divide

180 divided by 7.2 = 25

answer is 25.

Answer:

the answer will be 6 centimeter