Boys to girls ratio is 2 to 3. There are 18 girls. What is total number of students

Answer:

[tex] P(X>14)= 1-P(X<14) =1- F(14)[/tex]

And replacing we got:

[tex] P(X>14)= 1- \frac{14-8}{22-8}= 0.5714[/tex]

The probability that a randomly selected barber needs at least 14 minutes to complete the haircut is 0.5714

Step-by-step explanation:

We define the random variable of interest as x " time it takes a barber to complete a haircuts" and we know that the distribution for X is given by:

[tex] X \sim Unif (a= 8, b=22)[/tex]

And for this case we want to find the following probability:

[tex] P(X>14)[/tex]

We can find this probability using the complement rule and the cumulative distribution function given by:

[tex] P(X<x) = \frac{x-a}{b-a} ,a \leq x \leq b[/tex]

Using this formula we got:

[tex] P(X>14)= 1-P(X<14) =1- F(14)[/tex]

And replacing we got:

[tex] P(X>14)= 1- \frac{14-8}{22-8}= 0.5714[/tex]

The probability that a randomly selected barber needs at least 14 minutes to complete the haircut is 0.5714

The process used to collect data will affect the validity and the bias of the study.

The way data is gathered is very important for making sure a study is accurate and doesn't have any unfair influences. Validity means how well the information collected correctly shows the things the study is trying to find out. If the way data is collected is not done correctly, it can cause incorrect or untrustworthy results, making the study less reliable

Bias means when we make mistakes or go away from the correct value or truth. If the way we collect data is biased, it can lead to unfair outcomes or favor certain groups.

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Answer:

I would say the second one

Step-by-step explanation:

f(x) has a range of y<0, because it is reflected over the x axis

g(x) = -5/7(3/5)^-x is also reflected over the x axis, except also in the y axis. Regardless of the reflection in the y-axis, y still cannot be equal to or greater than 0. Therefore, I believe it is the second choice.

(The third and forth choice are the same, which rules them both out. The first on reflects it over the y-axis, meaning that x can be greater than 0.)

Answer: SAS

Step-by-step explanation:

Answer:

   (-6, 7)

Step-by-step explanation:

In order to make (x+4) = -2, we must have x = -6. Then the point (-6, 7) will be on the graph of f(x+4).

__

Another way to think about this is that replacing x with x-h causes the graph to be shifted right by h units. Here, we have h=-4, so the graph is shifted left 4 units. Shifting the point (-2, 7) by 4 units to the left moves it to (-2-4, 7) = (-6, 7).

Answer:

PLATO: -6,7

Step-by-step explanation:

Answer:

a, ar, ar²,ar³,ar⁴...

Answer:

55.82 cm

Step-by-step explanation:

d1= 8.72 cm

a= 15.6 cm

A rhombus= 1/2*d1*d2 = A square

A square= 15.6²= 243.36 cm²

d2= 2A/d1= 2*243.36/8.72 ≈55.82 cm

Answer:

X = 5

Step-by-step explanation:

If 4x = 20

And we are asked to find the solution.

It simply means looking for the value of x

So

4x = 20

X = 20/4

X = 5

X is simply the solution

X = 5

Answer:

D 2.16

Step-by-step explanation:

a p e x just use log

Answer:

1.  x = 4

2. x = -1

3. x = 0

Answer:

Step-by-step explanation:

Answer:

Hi there!

The correct answers are: A, B, D, E

Step-by-step explanation:

First of all, perpendicular means when two lines intersect to form a 90° angle.

Second ⊥ means perpendicular.

When something is a bisector it means it evenly slices a line in half.

Answer:

Sea Lion, fish, Bird

Step-by-step explanation:

Find the absolute value of the animals, and then compare them from least to greatest

Answer:

To find a we use sine

sin 60° = a / 4√3

a = 4√3sin60°

a = 6

To find b we use sine

sin 45° = a / b

a = 6

b = 6 / sin 45°

b = 6√2

To find c we use cosine

cos 60° = c / 4√3

c = 4√3 cos 60°

c = 2√3

To find d we use tan

tan 45° = a / d

a = 6

d = 6 / tan 45°

d = 6

Therefore a = 6 b = 6√2 c = 2√3

d = 6

That's option A.

Hope this helps

Answer:

98

Step-by-step explanation:

Z as Zach; W as Wendy; L as Lee; C as Chen

We know that average score of Z,W, and L is 91, so:

(z + w + l)/3 = 91

z + w + l = 273

Average score W, L, C = 89, so:

(w + l + c)/3 = 89

w + l + c = 267

We take both:

(z + w + l) – (w + l + c) = 273 – 267

z – c = 6

Average score Z and C = 95

(z + c)/2 = 95

z + c = 190

(z + c) – (z – c) = 184

2c = 184

c = 92

z + c = 190

z + 92 = 190

z = 98

So, Zachs score is 98

Answer:

y=(5/2)x-3

Step-by-step explanation:

slope of the line=(y2-y1)/(x2-x1)=(-3-2)/(0-2)=5/2

use any point to get the line:

y-(-3)=(5/2)(x-0)

y=(5/2)x-3

Answer:

y = -2x - 1

Step-by-step explanation:

Step 1: Find the parallel line

y = -2x + b

Step 2: Solve for b

-3 = -2(1) + b

-3 = -2 + b

b = -1

Step 3: Write parallel equation

y = -2x - 1

Answer:

a) 0.0026

P- value is 0.0026

Step-by-step explanation:

Step(i):-

Given data

first sample size n₁= 80

mean of the first sample  x⁻₁= $6.75

Standard deviation of the first sample   (σ₁) = $1.00

second sample size (n₂) = 60

mean of the second sample( x₂⁻) = $6.25

Standard deviation of the second sample (σ₂) = $0.95

step(ii):-

Test statistic

[tex]Z = \frac{x^{-} _{1} -x^{-} _{2} }{\sqrt{\frac{(S.D)_{1} ^{2} }{n_{1} } +\frac{(S.D)_{2} ^{2} }{n_{2} } } }[/tex]  

  Null Hypothesis :H₀: There is no significant difference in wages across the two employers.

x⁻₁= x₂⁻

Alternative Hypothesis :H₁: There is significant difference in wages across the two employers.

x⁻₁≠ x₂⁻

[tex]Z = \frac{6.75 -6.25 }{\sqrt{\frac{(1^{2} }{80 } +\frac{((0.95)^{2} }{60} } }[/tex]

Z = 3.01

P- value:-

Given data is two tailed test

The test statistic Z = 3.01

First we have to find the Probability of z-statistic

P(Z>3.01) =  1- P( z <3.01)

                 = 1- (0.5 + A(3.01)

                = 0.5 - A(3.01)

             =    0.5 - 0.49865   ( from normal table)

             = 0.0013

P(Z>3.125) = 0.0013

Given two tailed test

   P- value = 2 × P( Z > 3.01)

                 = 2 × 0.0013

                = 0.0026

Final answer:-

The calculated value Z = 3.125 > 1.96 at 0.05 level of significance

null hypothesis is rejected

Conclusion:-

P- value is 0.0026

Answer:

The sample size for the data set = 56

Step-by-step explanation:

The sample size or number of individuals (n) is gotten from a histogram by summing up the total frequencies of occurrences.

In this example, the frequencies are: 2 4 6 8 10 12 14

Therefore, the sample size (n) is calculated as follows:

n = 2 + 4 + 6 + 8 + 10 + 12 + 14 = 56

Therefore the sample size for the data set = 56

The sample size for the data set = 56

Given that,

The calculation is as follows:

= 2 + 4 + 6 + 8 + 10 + 12 + 14

= 56

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Answer:

x = -9

Step-by-step explanation:

Step 1: Write out expression

5(x + 13) = 20

Step 2: Distribute

5x + 65 = 20

Step 3: Isolate x

5x = -45

x = -9

And we have our answer!

Answer:

-9

Step-by-step explanation:

Let the number be x.

5(x+13) = 20

Expand.

5x+65 = 20

Subtract 26 on both sides.

5x = 20 - 65

5x = -45

Divide 5 into both sides.

x = -45/5

x = -9

The number is -9.

Answer:

49/99

Step-by-step explanation:

I'm assuming you want to find the fraction that gives the decimal 0.494949...

If that is the case, the 49/99 is your answer.

Answer:

4

Step-by-step explanation:

Answer:

3m + 4c

Step-by-step explanation:

Whenever a word problem says the word earn that means the slope, also known as the rate of change, will be positive. Knowing this you can determine that both the caramel and milk chocolate slopes will be positive. After figuring all that out the only thing left to do is to make the equation. You know you have two slopes, and each slope needs a variable, so you will have to look back at the question. It is given that m represents the milk chocolate and c represents the caramel. Now all you have to do is make the slope the coefficient to the corresponding variable. The milk chocolates are 3 dollars, so the 3 goes in front of the m and the caramel chocolates are 4 dollars, so teh 4 goes in front of the 4. Since both slopes are positive no negatives or minus signs will be used in the equation. Knowing all this information you can now create the expression 3m + 4c.

Answer:

D

Step-by-step explanation:

3m + 4c

Answer:

first you need to multiply -6 and 3

Answer:

-6 and 3

Step-by-step explanation:

sorry it was an late answer I'm just tryna gain points :D

Answer:

9

Step-by-step explanation:

Since the scale factor is 12/8 = 1.5, to find LA we have to multiply FI by 1.5 which is 6 * 1.5 = 9.

Answer:

Step-by-step explanation:

To evaluate 4P2, we will use the permutation formula as shown;

nPr = [tex]\frac{n!}{(n-r)!}[/tex]

4P2 = [tex]\frac{4!}{(4-2!}[/tex]

[tex]= \frac{4!}{2!} \\= \frac{4*3*2!}{2!}\\ = 4*3\\= 12[/tex]

4P2 = 12

Answer:

The Amin's score in math was 46.

Step-by-step explanation:

The question is:

The average math score for Amin, azman and aziz is 73. Azman marks 35 more than Amin while aziz is twice that of Amun. What is Amin's sign?

Solution:

Let us denote that:

x = Amin's score in math

y = Azman's score in math

z = Aziz's score in math.

The average of x, y and z is, 73.

That is:

[tex]\frac{x+y+z}{3}=73\\\\\Rightarrow x+y+z = 219[/tex]

Now it is provided that:

[tex]y=x+35...(i)\\z=2x...(ii)[/tex]

Use the equations (i) and (ii) to determine the value of x as follows:

[tex]x+y+z=219\\\\x+x+35+2x=219\\\\4x=184\\\\x=46[/tex]

Thus, the Amin's score in math was 46.

Answer :

x1 = -1

x2= +3

x3 = +4

I hope it helps

If you are doing it by roots how ever it would be 3

Hey there! :)

Answer:

a. 3

b. -22

c. -2

d. -2

e. 5a + 8

f. a² + 6a + 3

Step-by-step explanation:

Calculate the answers by substituting the values inside of the parenthesis for 'x':

a. f(1) = 5(1) - 2 = 3

b. f(-4) = 5(-4) - 2  = -22

c. g(-3) = (-3)² + 2(-3) - 5 = 9 - 6 - 5 = -2

d. g(1) = 1² + 2(1) - 5 = 1 + 2 -5 = -2

e. f(a+ 2) = 5(a+2) - 2 = 5a + 10 - 2 = 5a + 8

f. g(a + 2) = (a + 2)² + 2(a + 2) - 5 = a² + 4a + 4 + 2a + 4 - 5 =

a² + 6a + 3

Answer:

It will have a population of 61,779 in 2000.

Step-by-step explanation:

The population for the city, in t years after 1900, can be modeled by a exponential function with constant growth rate in the following format:

[tex]P(t) = P(0)(1+r)^{t}[/tex]

In which P(0) is the population in 1900 and r is the growth rate.

Population of 24,000 in 1900

This means that [tex]P(0) = 24000[/tex]

Population of 29,000 in 1920.

1920 is 1920 - 1900 = 20 years after 1900.

This means that P(20) = 29000. So

[tex]P(t) = P(0)(1+r)^{t}[/tex]

[tex]29000 = 24000(1+r)^{20}[/tex]

[tex](1+r)^{20} = \frac{29000}{24000}[/tex]

[tex]\sqrt[20]{(1+r)^{20}} = \sqrt[20]{\frac{29000}{24000}}[/tex]

[tex]1 + r = 1.0095[/tex]

So

[tex]P(t) = P(0)(1+r)^{t}[/tex]

[tex]P(t) = 24000(1.0095)^{t}[/tex]

What population will it have in 2000

2000 is 2000 - 1900 = 100 years after 1900. So this is P(100).

[tex]P(t) = 24000(1.0095)^{t}[/tex]

[tex]P(100) = 24000(1.0095)^{100} = 61779[/tex]

It will have a population of 61,779 in 2000.

Answer:

well the shape is acute so it will be quite low work out the opposite angles and you will find out that the lines are parallels there for meaning the answer is the lowest angle

Step-by-step explanation:

Answer: Significantly low.

Step-by-step explanation:

Ok, we know that out of 1700 randomly selected, only 4 of them are girls.

Then the frequency is:

p = 4/1700

Now, using the subjective judgement (meaning that it is based on the opinion only, there is no real math involved)

I can conclude that the number of girls is significantly low, meaning that out of 1700 births we have 4 girls, then the other 1694 must be boys.