question in above picture
explanation please not jusr answer

Answer:

-60

Step-by-step explanation:

-3 · 2 = -6 and 10⁴ · 10⁻³ = 10⁽⁴⁺⁽⁻³⁾⁾ = 10¹ = 10 so the answer is -6 · 10 = -60.

Answer:

median: 8

mode: 8, 10

mean: 8

The mean will help her predict how much she will walk in week six.

Step-by-step explanation:

First order the numbers:

4, 7, 8, 8, 8, 9, 10, 10

median: 8

mode: 8, 10

mean: 8

Which measure of central tendency will help her predict how much she will walk in week six. The mean will help her predict how much she will walk in week six.

Answer:

a

Step-by-step explanation:

Answer:

Answer A

Step-by-step explanation:

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Number of cups of needed for 7 loaves of banana bread is 8.75  cups

Number of cups of flour needed for 2 loaves of banana bread = 2.5 cups

Here we have to use the unitary method

Number of cups of flour needed for 1 loaves of banana bread = Number of cups of flour needed for 2 loaves of banana bread / 2

Substitute the values in the equation

= 2.5 / 2

= 1.25  cups

Number of cups of flour needed for 7 loaves of banana bread = 7 × 1.25

Multiply the numbers

= 8.75 cups

Therefore, he need 8.75 cups of flour for 7 loaves of banana bread

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Answer:

comparing the means of three or more groups

Step-by-step explanation:

Given the volume of the sphere as 26667 cm³, we calculated the radius to be approximately 17.7 cm using the formula for the volume of a sphere. By multiplying the radius by 2, we found that the diameter of the sphere is approximately 35.4 cm.

To calculate the diameter of a sphere when given its volume, we can use the formula for the volume of a sphere:

V = (4/3) * π * r³

Where V is the volume and r is the radius of the sphere. Since we are given the volume, we can rearrange the formula to solve for the radius:

r = (\(\sqrt[3]{(3V / (4\pi )}\)))

Substituting the given volume V = 26667 cm³ into the formula, we have:

r = (\(\sqrt[3]{(3 * 26667 / (4\pi )))}\)

Calculating this expression, we find:

r ≈ (\(\sqrt[3]{80001 / \pi ))}\) ≈ 17.7 cm

Now that we have the radius, we can calculate the diameter by multiplying the radius by 2:

d = 2 * r ≈ 2 * 17.7 ≈ 35.4 cm

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The probability that a randomly selected component is shorter than 7 inches long is approximately 25.14%.

We are given that the lengths of components produced by the automatic press are normally distributed with a mean of 8 inches and a standard deviation of 1.5 inches.

We need to find the probability that a randomly selected component is shorter than 7 inches long.

We can use the standard normal distribution to find this probability. We first need to convert the length of 7 inches to a z-score:

z = (7 - 8) / 1.5 = -0.67

Using a standard normal distribution table or calculator, we can find the area to the left of this z-score, which represents the probability that a randomly selected component is shorter than 7 inches long:

P(z < -0.67) = 0.2514

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Answer:

\( = \frac{2.408 \times {10}^{24} }{6.02 \times {10}^{23} } \\ = 4\)

\( \small{ \star{ \underline{ \blue{becker}}}}\)

2.408 x 10²⁴  divided by 6.02 x 10²³ is 4

A division is a process of splitting a specific amount into equal parts.

We have to divide 2.408 x 10²⁴ by  6.02 x 10²³

Two point four zero eight into ten to the power of twenty four by six point zero two into ten to the power of twenty three.

2.408 x 10²⁴/6.02 x 10²³

Firstly let us divide the decimal numbers

0.4×10²⁴/10²³

The exponential digit in denomiantor turns to negative numerator

0.4×10²⁴⁻²³

Zero point four into ten

0.4×10

4

Hence we get four when we divide 2.408 x 10^24 by 6.02 x 10^23

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The answers for both the parts are a) 260 and b) 200 Jolly Rancher and 520 jawbreakers.

A ratio is a way to show a relationship or compare two numbers of the same kind. We use ratios to compare things of the same type.

Given that, a candy jar have candies type Jolly Rancher and jawbreakers

in ratio 5:13 respectively.

Let the number of Jolly Rancher and jawbreakers be 5k and 13k respectively,

a) When you have 100 Jolly Rancher, then,

5k = 100

k = 20

Hence, number of jawbreaker = 20×13 = 260

b) When the total number of candies in the jar is 720, then,

5k+13k = 720

18k = 720

k = 40

Therefore, number Jolly Rancher and jawbreakers it contains = 40×5 = 200 and 13×40 = 520

Hence, The answers for both the parts are a) 260 and b) 200 Jolly Rancher and 520 jawbreakers.

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Answer:

\(\frac{5}{8}\)

Step-by-step explanation:

\(\frac{-8-(-3)}{-12-(-4)}\) = \(\frac{-8+3}{-12+4}\) = \(\frac{-5}{-8}\) = \(\frac{5}{8}\)

Helping in the name of Jesus.

The distribution does not represent a probability distribution. The correct option is b.

A probability distribution should satisfy two main conditions: (1) the sum of the probabilities for all possible outcomes should be equal to 1, and (2) the probabilities for each outcome should be between 0 and 1 (inclusive).

In this distribution, the probabilities for the outcomes are 0.3, 0.4, 0.3, and 0.1 for the values of X as 3, 6, 9, and 0, respectively. However, the sum of these probabilities is 1.1, which violates the first condition of a probability distribution.

Therefore, this distribution does not meet the requirements of a probability distribution and is not a valid probability distribution. The correct answer is option b.

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Step-by-step explanation:

hope it helps you......

Step-by-step explanation:

it all starts with having a good definition for a

a = 3x + 6

for the definition of b we need to transform the second equation

x = 1/3 b - 2 = b/3 - 2

3x = b - 6

3x + 6 = b

remember, if a = c and b = c, then it must be a = b.

that is the whole principle here. the symmetric property.

I am not sure what you must do here. so you select on the left the number of the step in the proof ?

if so, then

statement reason : number 1

a = 3x + 6 and 3x = b - 6 division : number 2

a = 3x + 6 and -b = -3x - 6 subtraction : number 3

a = 3x + 6 and b = 3x + 6 division : number 4

a = b = 3x + 6 symmetric : number 5

always remember, every change needed on one side of an equation we need to do on both sides, otherwise the equation is destroyed.

number 2 is "division" as division is a form of multiplication (and multiplication a form of division). we are multiplying by 3.

number 3 subtracts b and also 3x.

number 4 divides by -1.

and number 5 is the fished proof as mentioned above.

Answer:

distribute 3 into the parenthesis

Bubba can paint an area of approximately 205,797.10 square meters with a single coating of the 3 gallons of paint, assuming he manages a uniform thickness.

The area that Bubba can paint with a single coating of the 3 gallons of paint, we need to first convert the volume of the paint into liters. As given, 1 gallon is the same as 3.78 liters.
3 gallons x 3.78 liters/gallon = 11.34 liters
Now, we need to use the thickness of the paint to calculate the area that can be covered with this amount of paint. The thickness of the paint is given as 0.0552 mm. We need to convert this to meters so that it is in the same units as the area. 1 mm is equal to 0.001 meters, so:
0.0552 mm x 0.001 meters/mm = 0.0000552 meters

The thickness of the paint in meters. Now we can use the volume and thickness of the paint to calculate the area that can be covered. The formula for this is:
Area = Volume / Thickness
Area = 11.34 liters / 0.0000552 meters
Area = 205,797.10 square meters

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The parametric form can be written as -

\(x = x_2 \left[ \begin{array}{c} -3 \\ 1 \\ 0 \\ 0 \\ \end{array} \right] + x_3 \left[ \begin{array}{c} 0 \\ 0 \\ 1 \\ 0 \\ \end{array} \right] + x_4 \left[ \begin{array}{c} 4 \\ 0 \\ 0 \\ 1 \\ \end{array} \right]\)

A matrix equation of the form \($A\overrightarrow x=0\) is called homogeneous matrix equation.

A matrix equation of the form  \($A\overrightarrow x=\overrightarrow b\) is called non - homogeneous matrix equation.

Given is to find the solution in parametric vector form.

If there are {m} free variables in the homogeneous equation, the solution set can be expressed as the span of {m} vectors :

\($\overrightarrow x=s_{1} \overrightarrow v_{1} + s_{2} \overrightarrow v_{2}+......+s_{m} \overrightarrow v_{m}\)

We have a matrix where {A} is the row equivalent to that matrix -

\(\begin{bmatrix} 1&3&0&-4 \\ 2&6&0&-8 \end{bmatrix}\)

Given matrix can be written in Augmented form as -

\(\left[ \begin{array}{cccc|c} 1&3&0&-4 & 0\\2&6&0&-8&0\\ \end{array} \right]\)

Row Reduced Echelon Form can be obtained using the following steps -

{ 1 } - Interchanging the rows R{1} and R{2}.

\(\left[ \begin{array}{cccc|c} 2&6&0&-8&0 \\ 1&3&0 &-4 & 0 \\ \end{array} \right]\)

{ 2 } - Applying the operation R{2} -> 2R{2} - R{1}, to make the second 0.

\(\left[ \begin{array}{cccc|c} 2&6&0&-8&0\\1&3&0&-4&0 \\ \end{array} \right] \;\;\;\;\;\;R_2 \rightarrow 2R_2 - R_1\)

\(\left[ \begin{array}{cccc|c} 2 & 6 & 0 & -8 & 0 \\ 0 & 0 & 0 & 0 & 0 \\ \end{array} \right]\)

{ 3 } - Using R{1} -> R{1}/2

\(\left[ \begin{array}{cccc|c} 2&6&0&-8&0\\0&0&0&0&0\\ \end{array} \right]  \;\;R_1 \rightarrow \dfrac{1}{2} R_1\)

{ 4 } - Following equation can be deducted as

\(x_1 + 3x_2 - 4x_4 =0\)

{ 5 } - We can write the parametric form as -

\(x = x_2 \left[ \begin{array}{c} -3 \\ 1 \\ 0 \\ 0 \\ \end{array} \right] + x_3 \left[ \begin{array}{c} 0 \\ 0 \\ 1 \\ 0 \\ \end{array} \right] + x_4 \left[ \begin{array}{c} 4 \\ 0 \\ 0 \\ 1 \\ \end{array} \right]\)

Therefore, the parametric form can be written as -

\(x = x_2 \left[ \begin{array}{c} -3 \\ 1 \\ 0 \\ 0 \\ \end{array} \right] + x_3 \left[ \begin{array}{c} 0 \\ 0 \\ 1 \\ 0 \\ \end{array} \right] + x_4 \left[ \begin{array}{c} 4 \\ 0 \\ 0 \\ 1 \\ \end{array} \right]\)

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The vector value is V(f) = A * sinc(fτ) + j2πAfτ(d/dx)[sinc(fτ)].

To find V(f) in terms of sine functions given V(t) = (A - A|t|/τ)π(t/2τ), we can use the Fourier Transform property:

V(f) = ∫[V(t)e^(-j2πft)]dt

First, let's express the rectangular pulse function π(t/2τ) in terms of sine functions:

π(t/2τ) = (1/2) [sin(πt/2τ)/(πt/2τ)]

Now, substituting V(t) into the Fourier Transform equation:

V(f) = ∫[(A - A|t|/τ)π(t/2τ) e^(-j2πft)]dt

Using the linearity property of the Fourier Transform, we can split the integral into two parts:

V(f) = A ∫[π(t/2τ) e^(-j2πft)]dt - A/τ ∫[|t|π(t/2τ) e^(-j2πft)]dt

Let's evaluate each integral separately:

1. A ∫[π(t/2τ) e^(-j2πft)]dt:

This integral represents the Fourier Transform of the rectangular pulse function. The result can be expressed as sinc(fτ), where sinc(x) = sin(πx)/(πx).

2. A/τ ∫[|t|π(t/2τ) e^(-j2πft)]dt:

This integral can be split into two parts, for positive and negative values of t:

A/τ ∫[tπ(t/2τ) e^(-j2πft)]dt - A/τ ∫[(-t)π(t/2τ) e^(-j2πft)]dt

The integral of tπ(t/2τ) can be evaluated as -j(d/dx)[sinc(fτ)], and the integral of (-t)π(t/2τ) can be evaluated as j(d/dx)[sinc(fτ)].

Putting it all together, the expression for V(f) in terms of sine functions is:

V(f) = A * sinc(fτ) - jAτ(d/dx)[sinc(fτ)] + jAτ(d/dx)[sinc(fτ)]

Simplifying further:

V(f) = A * sinc(fτ) + j2πAfτ(d/dx)[sinc(fτ)]

This is the expression for V(f) in terms of sine functions.

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There are 315 ways of distributing books (four identical math books and five identical history ) to three different students.

Let A, B be any finite sets. The number of ways to choose one element from A and one element from B is N(A)⋅N(B)..

We have, Total number of distinct students = 3

Total number of identical math books = 4

Identical History books = 5

let

Number of distinct ways to distribute identical four math books (n = 4) among three students(k= 3), N(M) = ⁽ⁿ⁺ᵏ⁻¹⁾Cₙ = ⁶C₄ = 6!/4!2! = 15

Number of distinct ways to distribute five history books (n= 5) among three students (k= 3) ,N(H) = ⁽ⁿ⁺ᵏ⁻¹⁾Cₙ = ⁷C₅ = 7!/5! 2! = 7× 3 = 21

Total different (distinguishable) ways can all the books be distributed to the students, N(A) = N(M)⋅N(H) = 15× 21 = 315 ways

Hence , required distribution ways are 315.

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Answer:

232.5 ft

Step-by-step explanation:

Bounce

1      
2          

3           
4          
5

80   +   40X2  +  20 x 2   + 10 x 2   + 5 x 2  + 2.5   = 232.5 ft 

Answer:

see explanation

Step-by-step explanation:

consecutive even numbers have a difference of 2

let the consecutive even numbers be n and n + 2, thus

(n + 2)² - n² ← expand (n + 2)² using FOIL

= n² + 4n + 4 - n² ← collect like terms

= 4n + 4

= 4(n + 1) ← which results in a multiple of 4

Answer:

-11

Step-by-step explanation:

Answer:

-11

Step-by-step explanation:

Answer:

N'(2, 3)

Step-by-step explanation:

my trick is counting how many spaces away it is from the axis it's being reflected over. So for this one N was at (2, -3) so I counted upwards 3 spaces from the 2 and i got to (2,3). i hope that makes sense the way i explained it.

hope this helps ;)

Answer:

  see attached

Step-by-step explanation:

You want the image of point N(2, -3) after reflection in the y-axis, plotted on the graph.

A line of reflection is the perpendicular bisector of the segment between a point and its image. That is, the image point is as far from the line as the original point, but on the opposite side of it.

The attached figure shows the location of image point N'(-2, -3).

__

Additional comment

The coordinate transformation for reflection in the y-axis just changes the sign of the x-coordinate. That puts the image point as far to the left as the original is to the right:

  (x, y) ⇒ (-x, y) . . . . . . reflection in the y-axis

Answer:

i like your cut g

Step-by-step explanation:

Answer:

2/7

Step-by-step explanation:

red marbles(R)=3

white marbles (W)=4

total marbles =7

possibility of both white marbles =2/7

Answer:

3

Step-by-step explanation:

You have to divide 28 divided by 8.

28/8 = 3.5

I'm pretty sure you can't buy half a tube of paint, so Ingrid would only be able to buy 3.

When Dustin distributes all of the liquid equally among the 7 bottles the amount in each bottle is 0.85 units.

A dot plot is a form of graph that uses dots along a number line to show how frequently data values occur. Each data value is represented as a dot in a dot plot, which is placed above the corresponding spot on the number line. The dots are piled vertically to illustrate the frequency of a value when many data values fall on the same spot on the number line. When displaying and analysing small to medium-sized data sets, dot plots are frequently employed since each data value may be simply represented by a dot on a number line.

From the graph we see that the amount of liquid in each bottle is:

0 units in one bottle.

1/2 units in three bottles = 3(1/2) = 3/2.

1 units in one bottle.

1 1/2 = (2 + 1) / 2 = 3/2 units in one bottle.

2 units in one bottle.

Now, the total amount of liquid is:

T = 0 + 3/2 + 1 + 3/2 + 2 = 6 units.

When the 6 units is divided among 7 bottles we have:

6 / 7 = 0.85

Hence, when Dustin distributes all of the liquid equally among the 7 bottles the amount in each bottle is 0.85 units.

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You must select at least 65 bit strings of length six before you can be sure to have at least two that are of the same type.

To determine how many bit strings of length six you must select before you are sure to have at least two that are of the same type, we can analyze the worst-case scenario.

Let's consider each type separately:

Type 0XXXX0: There are 2^4 = 16 possible bit strings of this type.

Type 0XXXX1: There are 2^4 = 16 possible bit strings of this type.

Type 1XXXX0: There are 2^4 = 16 possible bit strings of this type.

Type 1XXXX1: There are 2^4 = 16 possible bit strings of this type.

To ensure that we have at least two bit strings of the same type, we need to select enough bit strings to exhaust all possibilities of each type and then add one more. This is because in the worst-case scenario, we might keep selecting bit strings of different types until we have one of each type, but the next bit string we select is guaranteed to match one of the previous types.

So, the minimum number of bit strings we need to select is:

16 + 16 + 16 + 16 + 1 = 65

Therefore, you must select at least 65 bit strings of length six before you can be sure to have at least two that are of the same type.

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Answer:

1. $145

2. 45+25x=total $

Step-by-step explanation:

45+(25•4)=145

Step-by-step explanation:

Given:

10 GB included with plan

$45 per month

$25 per GB over the amount of 10

Need to find out:

How much would Kadeesha have to pay in a month where she used 4 GB over the limit, how much would it be if it went over xx GB?

Let's solve the first problem:

10 GB included + 4 GB (over) =14 total GB

$45=10GB. $25×4= 4 GB over.

$45+$100=$145

Therefore, Kadeesha would have to pay $145 if she went 4 GB over the 10.

Now, let's solve the next problem:

So, for this problem we are going to find the amount it wil be in other various amounts. To do this we will create a chart /table

$45 ------> 10GB

$70 -----> 11 GB

$95 ----> 12 GB

$120 ---> 13 GB

$145 ---> 14 GB

$170 ---> 15 GB

and so on....

but here we can see any given amount will be her usual Phone bill amount ($45), with the 10 GB and an additional $25 for every added GB.

if something is unclear, or seems wrong just let me know!

I hope this helps:)