Please help me I need help

The range is greater for the girls and the mean is greater for the girls. So, correct option is B.

A) The statement "The range is greater for the girls" is true. The range is the difference between the highest and the lowest values in a data set.

Looking at the line plots, the highest value for the boys is 10, and the lowest is 3, giving a range of 7 hours. The highest value for the girls is 9, and the lowest is 5, giving a range of 4 hours. Therefore, the range is greater for the boys.

B) The mean is the sum of all values divided by the total number of values. To calculate the mean for the boys, we add up all the hours and divide by 10, which gives us:

(3 + 6 + 7 + 7 + 8 + 8 + 8 + 8 + 9 + 10) / 10 = 7.4 hours

To calculate the mean for the girls, we add up all the hours and divide by 10, which gives us:

(5 + 6 + 6 + 6 + 7 + 7 + 7 + 8 + 8 + 9) / 10 = 7.1 hours

Therefore, the mean for the boys is 7.4 hours and the mean for the girls is 7.1 hours, so the statement "The mean is greater for the girls".

So, correct option is B.

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The Probability that a randomly chosen meter will be faulty and will be accepted is  0.0064    .

In the question ,

it is given that ,

the Probability of meter to be faulty = 0.04

which means P(f) = 0.04

So , the Probability of meter not to be faulty = 1 - 0.04 = 0.96

which means P'(f) = 0.96

Also given that For faulty meter:

the probability that it will be rejected is =  0.84

which means , P(reject) = 0.84

So , P(accept) = 1 - 0.84 = 0.16

For meter with no faults :

the probability that it will be rejected =  0.01

which is , P(reject) = 0.01

So , P(accept) = 1 - 0.01 = 0.99

the Probability that a  randomly chosen meter will be faulty and will be accepted:

P = P(f) × P(accept)

P = 0.04 × 0.16

P = 0.0064

Therefore , The Probability that a randomly chosen meter will be faulty and will be accepted is 0.0064    .

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In the given graph, ABCD is the preimage and EGHF is the image. If the second step in a similarity transformation between these two figures is dilation by 1/2. So option D. (x,y)→(y,-x) is the answer.

Let us understand the steps in a similarity transformation: S1: We reflect (flip) the figure over the line y = x.

S2: We perform a dilation (stretch) from the origin.

S3: We reflect (flip) the figure over the line y = -x. Thus, when we perform a dilation by 1/2, it means we will be performing S2 first. The dilation occurs from the origin.

So, all points will be stretched to half the distance from the origin. Hence, the transformation is (x, y) → (1/2x, 1/2y).The correct option is D. (x,y)→(y,-x).

Here, we see that the figure is reflected over y = x first, and then over y = -x. Thus, we can say that the first step in this transformation is S1, (x,y)→(y,x).

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Answer:

Step-by-step explanation:

1. (4x5) is 20

2. (4x 2) is 8

3. 20 plus 8 is 28

4. 28= 4x (5+n)

5. isolate n by dividing 4 on both sides= 28/4= 4+n

6. subtract 4 on both sides to get 7-4=n

7. n=3

Answer: If the model kit for the Dornier Do17 airplane has a wingspan of 10 inches and the scale of the kit is 1 inch to 72 inches. This means that for every inch on the model, the equivalent measurement on the actual Dornier Do17 airplane is 72 inches.

We know that the wingspan of the model is 10 inches and we want to find the actual wingspan of the airplane so we'll use the scale factor of 1:72

To find the actual wingspan, we'll multiply the wingspan of the model by the scale factor.

10 inches * 72 inches/1 inch = 720 inches

Therefore, the actual wingspan of the Dornier Do17 airplane is 720 inches or 60 feet.

Step-by-step explanation:

Answer:

x = (v - u) / a

Step-by-step explanation:

v = u + ax.

subtract u from both sides:

v - u = ax.

divide both sides by a:

(v - u) / a = x.

so x = (v - u) / a.

this can also be written v/a - u/a

The variables and their levels of measurements are:

There are four levels of variables

The nominal level of variable is a named variable, and they do not have any order.

So, the ice cream flavors can be categorized as a nominal variable because there can be as many flavors as possible

The ordinal level is used for rankings

So, rankings on a grading rubric can be categorized as an ordinal variable

The interval level is used for range

So, the temperature of passengers can be categorized as an interval variable

Lastly, the number of units is a ratio variable because it can take absolute zero as its value

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Answer:

2744

Step-by-step explanation:

8 divided by 2 is 4

10 + 4 is 14

and 3rd power is 14x14x14

which is 2744

Answer:74

Step-by-step explanation:

74

Check the picture below.

Make sure your calculator is in Degree mode.

\(\cos(25^o )=\cfrac{\stackrel{adjacent}{x}}{\underset{hypotenuse}{12}}\implies 12\cos(25^o)=x\implies \boxed{10.876\approx x} \\\\[-0.35em] ~\dotfill\\\\ \sin(25^o )=\cfrac{\stackrel{opposite}{z}}{\underset{hypotenuse}{12}}\implies 12\sin(25^o)=z \\\\[-0.35em] ~\dotfill\\\\ \sin(50^o )=\cfrac{\stackrel{opposite}{z}}{\underset{hypotenuse}{y}}\implies y=\cfrac{z}{\sin(50^o)}\implies y=\cfrac{12\sin(25^o)}{\sin(50^o)}\implies \boxed{y\approx 6.62}\)

Answer:

1) 26

2) 7

Step-by-step explanation:

1) f(10)= (3*10)-4 = 26

2) f(x) = 3x-4

=> 17= 3x-4

=> 17+4= 3x

=> 21= 3x

=> x= 21÷3

so, x= 7

Answer:

area = 10 units²

Step-by-step explanation:

AB = √10

area = √10 x √10 = 10

Answer: 62

Step-by-step explanation:

Given

p = 7, q = 2, r = 4

Solve

q ( 5p - r )

Substitute

(2) (5(7) - (4))

Simplify

(2) (35 - 4)

(2) (31)

62

Hope this helps!! :)

Please let me know if you have any questions

Answer:

We can start by using the second equation to eliminate x:

2x + 5y - 2z = 3

2x = -5y + 2z + 3

x = (-5/2)y + z + 3/2

Now we can substitute this expression for x into the first and third equations:

x + y + z = 4

(-5/2)y + z + 3/2 + y + z = 4

(-5/2)y + 2z = 5/2

x + 7y - 7z = 5

(-5/2)y + z + 3/2 + 7y - 7z = 5

(9/2)y - 6z = 7/2

Now we have a system of two equations with two variables, (-5/2)y + 2z = 5/2 and (9/2)y - 6z = 7/2. We can use any method to solve for y and z, such as substitution or elimination. However, we will find that the system is inconsistent, meaning there is no solution that satisfies both equations.

Multiplying the first equation by 9 and the second equation by 5 and adding them, we get:

(-45/2)y + 18z = 45/2

(45/2)y - 30z = 35/2

Adding these two equations, we get:

-12z = 40/2

-12z = 20

z = -5/3

Substituting z = -5/3 into (-5/2)y + 2z = 5/2, we get:

(-5/2)y + 2(-5/3) = 5/2

(-5/2)y - 10/3 = 5/2

(-5/2)y = 25/6

y = -5/12

Substituting y = -5/12 and z = -5/3 into any of the original equations, we get:

x + y + z = 4

x - 5/12 - 5/3 = 4

x = 29/12

Therefore, the solution is (x, y, z) = (29/12, -5/12, -5/3). However, if we substitute these values into any of the original equations, we will find that it does not satisfy the equation. For example:

2x + 5y - 2z = 3

2(29/12) + 5(-5/12) - 2(-5/3) = 3

29/6 - 5/2 + 5/3 ≠ 3

Since there is no solution that satisfies all three equations, the system is inconsistent.

Step-by-step explanation:

Answer:

See below for proof.

Step-by-step explanation:

A system of equations is not consistent when there is no solution or no set of values that satisfies all the equations simultaneously. In other words, the equations are contradictory or incompatible with each other.

Given system of equations:

\(\begin{cases}x+y+z = 4\\2x+5y-2z =3\\x+7y-7z =5\end{cases}\)

Rearrange the first equation to isolate x:

\(x=4-y-z\)

Substitute this into the second equation to eliminate the term in x:

\(\begin{aligned}2x+5y-2z&=3\\2(4-y-z)+5y-2z&=3\\8-2y-2z+5y-2z&=3\\-2y-2z+5y-2z&=-5\\5y-2y-2z-2z&=-5\\3y-4z&=-5\end{aligned}\)

Subtract the first equation from the third equation to eliminate x:

\(\begin{array}{cccrcrcl}&x&+&7y&-&7z&=&5\\\vphantom{\dfrac12}-&(x&+&y&+&z&=&4)\\\cline{2-8}\vphantom{\dfrac12}&&&6y&-&8z&=&1\end{aligned}\)

Now we have two equations in terms of the variables y and z:

\(\begin{cases}3y-4z=-5\\6y-8z=1\end{cases}\)

Multiply the first equation by 2 so that the coefficients of the variables of both equations are the same:

\(\begin{cases}6y-8z=-10\\6y-8z=1\end{cases}\)

Comparing the two equations, we can see that the coefficients of the y and z variables are the same, but the numbers they equate to is different. This means that there is no way to add or subtract the equations to eliminate one of the variables.

For example, if we subtract the second equation from the first equation we get:

\(\begin{array}{crcrcl}&6y&-&8z&=&-10\\\vphantom{\dfrac12}-&(6y&-&8z&=&\:\:\;\;\:1)\\\cline{2-6}\vphantom{\dfrac12}&&&0&=&-11\end{aligned}\)

Zero does not equal negative 11.

Since we cannot eliminate the variable y or z, we cannot find a unique solution that satisfies all three equations simultaneously. Therefore, the system of equations is inconsistent.

Answer:

D) 89.6 %

Average  or mean of the given data = 89.6 %

Step-by-step explanation:

Step(i):-

Given data

        X      :     82        100        84

P(X=x)       :    0.40      0.40     0.20

Step(ii)

Let 'X' be the discrete distribution

Mean of the discrete distribution = ∑ x P( x=x)

                                                       = 82 ×0.40 +100 ×0.40 +84 ×0.20

                                                       = 89.6

Final answer:-

Average of the given data = 89.6 %

You will need 51.2 lbs of the cheaper candy and 4 lbs of the expensive candy.

A equation is supposed to be straight condition in two factors in the event that it is written as hatchet + by + c=0, where a, b and c are genuine numbers and the coefficients of x and y, i.e an and b separately, are not equivalent to nothing. For instance, 10x+4y = 3 and - x+5y = 2 are straight conditions in two factors

Let x be number of pounds of cheaper candy and y represent that of expensive candy.

Then, x + y = 55.2----(1)

And

2x + 8.9y = 55.2(2.5) = 138

2x + 8.9y = 138---------(2)

On solving above two equation, we get

x = 51.2

y = 4

Thus, cheaper candy are of 51.2 ib and expensive are of 4 ib

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9514 1404 393

Answer:

  23)  35.77 in²

  25)  48.19 cm²

Step-by-step explanation:

Use the appropriate area formula with the given information.

__

23) The area of a triangle is given by the formula ...

  A = 1/2bh . . . . . base b, height h

  A = 1/2(9.8 in)(7.3 in) = 35.77 in²

__

25) The area of a parallelogram is given by the formula ...

  A = bh . . . . . . base b, height h

  A = (7.9 cm)(6.1 cm) = 48.19 cm²

_____

The height in each figure is measured perpendicular to the base. This tells you that the length 10.6 cm of the diagonal side of the triangle is not relevant to finding the area.

Answer:

23) 35.77 in2

24) 48.19cm2

Answer:

Step-by-step explanation:

You want the area and volume ratios when two figures have a similarity ratio of 2 : 7.

The ratio of areas is the square of the similarity ratio:

  2² : 7² = 4 : 49

The ratio of volumes is the cube of the similarity ratio:

  2³ : 7³ = 8 : 343

__

Additional comment

It can help to think about the units of area and volume. For linear dimensions in inches, area dimensions are in square inches, and volume dimensions are cubic inches. Any ratio of inches will be squared when those inch dimensions are used for area, and will be cubed when volume is computed.

  side length of a square or cube: smaller: 2", larger: 7"

  area of the square: smaller: 2² in², larger: 7² in² or 4 in² and 49 in²

  volume of the cube: smaller: 2³ in³, larger: 7³ in³ or 8 in³ and 343 in³

<95141404393>

Answer:

7 + 2 = 9, so AC = 7/9 and CD = 2/9

1 + 2 = 3, so AB = 1/3 = 3/9 and

BD = 2/3 = 6/9

AB + BC = AC

3/9 + BC = 7/9, so BC = 4/9

AB:BC:CD = (3/9):(4/9):(2/9) = 3:4:2

Answer:

Try B

Step-by-step explanation:

I am sorry if im wrong

Answer:

try B

Step-by-step explanation:

The p-value of this upper-tailed test is 0.05 and failed to reject.

The cooling system in a nuclear submarine consists of an assembly of welded pipes through which a coolant is circulated.

Specifications require that weld strength must meet or exceed 150.

Below are the null and alternative Hypothesis,

Null Hypothesis, H0: μ = 150

Alternative Hypothesis, Ha: μ > 150

Rejection Region

This is right tailed test, for \(\alpha\) = 0.05 and df = 19

Critical value of t is 1.729.

Hence reject H0 if t > 1.729

Test statistic,

t = (x - μ ) / \(\frac{s}{\sqrt{n} }\)

t = (153.7 - 150) / \(\frac{11.3}{\sqrt{20}}\)

t = 1.464

P-value Approach

P-value = 0.080

As P-value ≥ 0.05, fail to reject null hypothesis.

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Answer:

10,000 is the answer

Step-by-step explanation:

14 465

round up the 4 which is 0 then your answer would be 10000

Answer:

 4π cm

Step-by-step explanation:

The length of an arc of a circle with radius r and central angle θ is given by ...

  s = rθ

where θ is in radians.

Here, your arc measures 60° = π/3 radians, so the arc length is ...

  s = (12 cm)(π/3) = 4π cm

Answer:

27 in each row

Step-by-step explanation:

216/8=27

Answer:

27 Apple Trees in each row

Step-by-step explanation:

216 divided by 8 gives us 27

The equation is 216/8=27

Answer: the probability that between 15% and 20% of the donors on a given day have a blood type of B is 0.3944

Step-by-step explanation:

Given that;

Binomial Distribution

n = 80

p = 0.15

q = 1 - p = 0.85

Mean = μ = np = 80 X 0.15 = 12

SD = σ = √(npq) = √(80 x 0.15 x 0.85) = -3.1937

Now; Assumptions in normal distribution to binomial distribution

- The sample size = n = 80 > 30 . Large sample

-  np = 80 × 0.15 = 12 > 10

- nq = 80 × 0.85 = 68 > 10

so

80 × 0.15 = 12

80 × 0.20 = 16

To find P(12 < X < 16):

Z = (16 - 12) / 3.1937

= 4 / 3.1937

= 1.2525

Table of Area Under Standard Normal Curve gives area = 0.3944

Therefore the probability that between 15% and 20% of the donors on a given day have a blood type of B is 0.3944

Answer:

Mean = $123.8

Range= $72

Variance= $607.344

Standard deviation=$ 24.64

Step by step explanation:

The list of the data of electricity bill on ascending order

$88,$90,$90,$95,$110,$115,$120,$126,$144,$150

Mean = (summation of($88,$90,$90,$95,$110,$115,$120,$126,$144,$150))/10

Mean = 1238/10

Mean = $123.8

Range= highest value- Lowest VA

Range= 150-88

Range= $72

Variance=( (88-123.8)²+(90-123.8)²+(90-123.8)²+(95-123.8)²+(110-123.8)²+(115-123.8)²+(120-123.8)²+(126-123.8)²+(144-123.8)²+(150-123.8)²)/10

Variance= (1281.64+1142.44+1142.44+829.44+190.44+77.44+14.44+4.84+295.84+408.04+686.44)/10

Variance= 6073.44/10

Variance=$ 607.344

Standard deviation= √variance

Standard deviation= √ 607.344

Standard deviation=$ 24.64

The mean monthly electric bill is $123.8

The Range is $72

The variance is $607.344

The standard deviation is $ 24.64

Arithmetic mean is defined as the ratio of the sum of observations to the total number of observations. It can be referred to as the average of a specific set of data or the arithmetic mean

The formula for the mean of a given set of data is as follows:

Mean = Sum of Observations/Total number of observations

Σx = 88+90+90+95+110+115+120+126+144+150

Σx = 1238

Here n = 10

⇒ Mean = Σx/n

⇒ Mean = 1238/10

⇒ Mean = $123.8

Hence, the mean monthly electric bill is $123.8

⇒ Range = Largest value - Least value

⇒ Range = 150-88

⇒ Range= $72

Hence, the Range is $72

⇒ Σ(x -mean)² = ( (88-123.8)²+(90-123.8)²+(90-123.8)²+(95-123.8)²+(110-123.8)²+(115-123.8)²+(120-123.8)²+(126-123.8)²+(144-123.8)²+(150-123.8)²)

⇒ Σ(x -mean)² =(1281.64+1142.44+1142.44+829.44+190.44+77.44+14.44+4.84+295.84+408.04+686.44)

⇒ Σ(x -mean)² = 6073.44

Here n = 10

⇒ Variance = Σ(x -mean)²/10

⇒ Variance = 6073.44/10

⇒ Variance = $607.344

⇒ Standard deviation = √variance

⇒ Standard deviation = √607.344

⇒ Standard deviation = $24.64

Hence, the standard deviation is $24.64.

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Answer:

The answer is "0.59".

Step-by-step explanation:

Please find the whole question in the attached file.

Given:

\(\mu=26.8\\\\\sigma=6.4\\\\X=30.6\)

Using formula:

\(z=\frac{X-\mu}{\sigma}\)

   \(=\frac{30.6-26.8}{6.4}\\\\=\frac{3.8}{6.4}\\\\=\frac{380}{640}\\\\=\frac{38}{64}\\\\=\frac{19}{32}\\\\=0.59375\approx 0.59\)