The test scores on a 100-point test were recorded for 20 students:71 93 91 86 7573 86 82 76 5784 89 67 62 7277 68 65 75 84a. Can you reasonably assume that these test scores have been selected from a normal population? Use a stem and leaf plot to justify your answer.b. Calculate the mean and standard deviation of the scores.c. If these students can be considered a random sample from the population of all students, find a 95% confidence interval for the average test score in he population.

To find the area of the composite figure:-

We can use following methods-

1. Decompose the figure into one rectangle and one triangle and add the area.

2. Decompose the figure into two trapezoids and add the area.

3. Find the area of the larger rectangle, then subtract the area of the two small triangle

"It is shape that is made up of two or more geometric shapes"

A = 1/2 × b × h

where b is the base of the triangle and 'h' is the height of the triangle

A = l × w

where l = length of the rectangle

w = width of the rectangle

For given example,

We need to find the area of the composite figure.

To find the area of the composite figure:-

We can follow-

1. Decompose the figure into one rectangle and one triangle and add the area.

2. Decompose the figure into two trapezoids and add the area.

3. Find the area of the larger rectangle, then subtract the area of the two small triangle

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Answer: A, B, and D

Step-by-step explanation:

Answer:

Hanna is 8 years old.

Step-by-step explanation:

Hanna = x

Tina = 4x

Sum = 40.

Hanna =?

Hanna + Tina = 40

4x + x = 40

5x = 40

x = 40/5

x = 8.

Hanna is 8 years old.

Answer:

thats good on daniel it will save him time.

Answer:

Yea it will save him time

Step-by-step explanation:

There's no question so...

Answer:

Following are the solution to the given points:

Step-by-step explanation:

Please find the complete question in the attached file.

In this question, we assume that "x" denotes as  an actual time of the  battery charging, that is a uniform random variable that [tex]x \sim U(90, 120)[/tex]

 In point a:

so, pdf of x =

[tex]\to f(x)= \frac{1}{120-90} = \frac{1}{30} \\\\\to 90 < x <120[/tex]

In point b:

To find

[tex]\to P(x<110) = \int^{110}_{90} \frac{1}{30} \ dx\\\\=\frac{110-90}{30}\\\\=\frac{20}{30}\\\\=\frac{2}{3}\\\\[/tex]

In point c:

[tex]\to P(x<100) = \int^{100}_{90} \frac{1}{30} \ dx \\\\= \frac{100-90}{30}\\\\= \frac{10}{30}\\\\= \frac{1}{3}\\\\[/tex]

In point d:

[tex]\to P(95< x< 110)[/tex]

[tex]= \int^{110}_{95} \frac{1}{30} \ dx\\\\= \frac{110-95}{30} \\\\= \frac{15}{30} \\\\= \frac{1}{2}[/tex]

Answer:

4^x + 6^x = 9^x

9^x=9^x

x=x

Answer:

A. 15

Step-by-step explanation:

Mínimo Común Múltiplo (MCM)

El MCM entre dos o más enteros es el menor múltiplo común a todos ellos. Por ejemplo, el MCM de 20 y 30 es 60 porque es el menor múltiplo común a ambos números.

El MCM entre 3 y 5 se puede determinar listando los múltiplos de cada uno:

Múltiplos de 3:   3, 6, 9,12, 15, 18, 21, 24

Múltiplos de 5:   5, 10, 15, 20, 25, 30

Se puede observar que el primer múltiplo que aparece en ambas listas en 15, luego la respuesta es:

A. 15

Answer:

a) P(0 < X) = 0.5

b) P(0.5 < X) = 0.4375

c) P(-0.5 = X = 0.5) = 0.125

d) P(X< -2) = 0

e) P(X < 0 or X>-0.5) = 1

f) value of x is -0.9654

Step-by-step explanation:

Given that;

f(x) = 1.5x²

Now. the probabilities would be the integral of the given function from (-1 to 1)

a) P(0 < X)

P(X > 0)

⇒ Integral from 0 to 1 of f(x)

= (1/2)x³

= 1/2 - 0

= 0.5

Therefore; P(0 < X) = 0.5

b) P(0.5 < X)

P(X > 0.5)

this will also be done in the same way except that, the limits changes to { 0.5 to 1]

= (1)³/2 - (0.5)³ /2  

= 0.4375

Therefore; P(0.5 < X) = 0.4375

c) P(-0.5 = X = 0.5)

The limits become [-0.5 , 0.5]

= (0.5)³/2 - (-0.5)³/2

= 0.125

Therefore; P(-0.5 = X = 0.5) = 0.125

d) P(X<-2)

since value of f(x) = 0 in that region

Therefore P(X< -2) = 0

e) P(X < 0 or X>-0.5)

= P(X < 0) + P(X > -0.5) - P( -0.5 < X < 0 )

= 0.5 + 0.5625 - 0.0625  

= 1

Therefore; P(X < 0 or X>-0.5) = 1

f) Determine x such that P(x < X) = 0.05.

Let the value be 'a'

Then, integral from -1 to a will = 0.05

a³ - (-1)³ = 0.05 × 2

a³ + 1 = 0.10

a³ = 0.10 - 1

a³ = -0.9

a = ∛-0.9  

a = -0.9654

Therefore, value of x is -0.9654

a) P(0 < X) = 0.5

b) P(0.5 < X) = 0.4375

c) P(-0.5 = X = 0.5) = 0.125

d) P(X< -2) = 0

e) P(X < 0 or X>-0.5) = 1

f) value of x is -0.9654

a) P(0 < X)

P(X > 0)

⇒ Integral from 0 to 1 of f(x)

[tex]= (1\div 2)x^3\\\\= 1\div2 - 0[/tex]

= 0.5

So; P(0 < X) = 0.5

b) P(0.5 < X)

P(X > 0.5)

Now

[tex]= (1)^3\div 2 - (0.5)^3 \div2[/tex]

= 0.4375

Therefore; P(0.5 < X) = 0.4375

c) P(-0.5 = X = 0.5)

The limits become [-0.5 , 0.5]

[tex]= (0.5)^3\div 2 - (-0.5)^3\div 2[/tex]

= 0.125

Therefore; P(-0.5 = X = 0.5) = 0.125

d) P(X<-2)

since value of f(x) = 0 in that region

Therefore P(X< -2) = 0

e) P(X < 0 or X>-0.5)

= P(X < 0) + P(X > -0.5) - P( -0.5 < X < 0 )

= 0.5 + 0.5625 - 0.0625  

= 1

Therefore; P(X < 0 or X>-0.5) = 1

f) Determine x such that P(x < X) = 0.05.

Let us assume the value be 'a'

So, integral from -1 to a will = 0.05

[tex]a^3 - (-1)^3 = 0.05 \times 2\\\\a^3 + 1 = 0.10\\\\a^3 = 0.10 - 1\\\\a^3 = -0.9\\\\a = \sqrt[3]{-0.9}[/tex]

a = -0.9654

Therefore, the value of x is -0.9654

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Answer:

I cant understand read ur lesson and ask help from ur teacher

#CarryOnLearning

Answer:

The weight limit on the bridge is75,500 pounds. ... In pounds, how much cargo can the truck carry and still be ... Helllppp pleaseeee A rancher has a three sided plot of ..

Answer:

10

Step-by-step explanation:

divide each side by -4

5x-1=-49

5x=50

x=10

Answer:

The person used 1/10 (one tenth) of the can to paint one chair.

Step-by-step explanation:

If she used 9/10 of the can to paint 9 chairs using same amount with each, then for each chair she used:

9/10 divided by 9 = 9/10 * 1/9 = 1/10 of the can.

Answer:

27°

Step-by-step explanation:

117-90=27°

27

sorry for bad sketching

Answer:

Volume = 144 m³

Step-by-step explanation:

Volume of triangular prism = ½*b*h*l

Where,

Base of triangular base (b) = 4 m

Height of triangular base (h) = 12 m

Length of prism (l) = 6 m

Volume = ½*4*12*6

Volume = 2*12*6 = 144 m³

Answer:

144cm3 is the right answer

Step-by-step explanation:

Oooooooooooooooooofffffffffffffffffffff

Answer

Step-by-step explanation:

 yl grafica

Answer:

The slope would be -7

Step-by-step explanation:

To find the slope, you find two points on a line and find the difference between x-values and y-values. Then divide the difference of y-values by the difference of x-values to acquire the slope. [tex]\frac{8-1}{-4+3}[/tex] = [tex]\frac{7}{-1}[/tex] or -7, so that would be the slope.

Answer:

Buying the larger box, I will be saving 23% compared to the original price.

Step-by-step explanation:

Given that a box contains 300 swabs for 2.99 and the other box is specially marked at 30% more swabs for the same price, to determine how much will I save per swab by buying the larger box the following calculation must be performed:

2.99 / 300 = X

0.0099 = X

2.99 / (300 x 1.3) = X

2.99 / 390 = X

0.0076 = X

0.0099 = 100

0.0076 = X

(0.0076 x 100) / 0.0099 = X

77 = X

100 - 77 = 23

Therefore, buying the larger box I will be saving 23% compared to the original price.

Answer:

327.75

Step-by-step explanation:

Answer:

17

Step-by-step explanation:

A slope is also known as the gradient of a line. The correct option is C, 17 dollars per hour.

A slope is also known as the gradient of a line is a number that helps to know both the direction and the steepness of the line.

The average rate of change for the data from the 2nd hour to the 6th hour is,

Average rate = ($126 - $58)/(6 hour - 2 hour)

                      = 68/4 dollar per hour

                      = 17 dollars per hour

Hence, The average rate of change for the data from the 2nd hour to the 6th hour is 17 dollars per hour.

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If a-b=0, a=b, so ab=bb=b^2

Answer:

b^2

Step-by-step explanation:

a - b = 0

Add b to each side

a-b+b = 0+b

a=b

We want to find ab

Replace a with b

b*b

b^2

Answer:

Your answer is "C"

Step-by-step explanation:

Dont ask me how I know, I just know

No clue why but brainly said I had inappropriate words in my answer so here's a picture

Answer:

G(6) = -190

Step-by-step explanation:

G(6) = (6 *3) - [10*(6)^2] + 25(6) + 2

G(6) = 18 -360 + 150 + 2

G(6) = -190

Answer:

multiple of4is 36 and factor of 28 is 14

hope it helps you

Answer:

Step-by-step explanation:

The multiples of 4 : 4,8,12,16,20,24,28, 32, 36, 40, 44, 48,.....

The factors of 28 : 1,2,4,7,14 and 28

I hope it helps

Answer: C

Step-by-step explanation:

C. because rate of change is the slope aka y/x. The other answers give off negative slopes when determining y/x.

4, 20, 100, 500, 2500

Answer:

2500

Step-by-step explanation:

multiply by 5 every time

Answer:

£683.10 in New York.

Step-by-step explanation:

Given the following data;

iPhone costs in London = £799

iPhone costs in Paris = €850

iPhone costs in New York = $970

£1 = €1.17 and £1 = $1.42

First of all, to find the cheapest (lowest) price for the three phones we would have to convert the prices to Pounds (£).

a. iPhone costs in London = £799

b. iPhone costs in Paris = €850

To find the price in Pounds (£);

£1 = €1.17

iPhone costs in Paris = €850/€1.17

iPhone costs in Paris = £726.50

c. iPhone costs in New York = $970

To find the price in Pounds (£);

£1 = $1.42

iPhone costs in New York = $970/$1.42

iPhone costs in New York = £683.10

Therefore, the lowest price for the iPhone is £683.10

number made / number attempted = 13/20

number missed / number attempted = (20-13)/20 = 7/20

Answer:

y= 9-10X/5

Step-by-step explanation:

Plz make me braibliest

Answer:

10x+5y=9 years

or,15xy=9 years

or,xy=15÷9

Ans=6xy.

Answer:

4032 square yards

Step-by-step explanation:

Area is multiplying the numbers together. Like if you were to find the area of a rectangle, you would need to multiply the length and width together. Don't forget to add a label at the end for more credit, such as square yards.