Divide 24 tonnes in the ratio 1:2.

Complete Question

The complete question is shown on the first uploaded image

Answer:

a

 [tex]P(0.51 <  \^ p <  0.61 ) =  0.2587 [/tex]

b

 [tex]P(\^ p > 0.71 ) = 0.15165[/tex]

Step-by-step explanation:

From the question we are told that

   The population proportion  is  [tex]p = 0.64[/tex]  

   The sample size is n =  50

Generally the mean of this sampling distribution is  

       [tex]\mu_{x} = p = 0.64[/tex]

Generally the standard deviation is mathematically represented as

      [tex]\sigma  =  \sqrt{ \frac{p(1- p )}{n } } [/tex]

=>    [tex]\sigma  =  \sqrt{ \frac{0.64(1- 0.64 )}{ 50} } [/tex]

=>    [tex]\sigma  =  0.068  [/tex]

Generally the probability that the value of [tex]\^ p[/tex] will be between 0.54 and 0.61 is mathematically represented as

     [tex]P(0.51 < \^ p < 0.61 ) = P( \frac{0.5 4 - \mu_{x}}{\sigma } < \frac{\^ p- \mu_{x}}{\sigma } < \frac{0.6 1 - \mu_{x}}{\sigma } )[/tex]

[tex]\frac{\^ p -\mu}{\sigma }  =  Z (The  \ standardized \  value\  of  \ \^ p )[/tex]

 [tex]P(0.51 <  \^ p <  0.61 ) =  P( \frac{0.5 4  - 0.64}{0.068 } < Z < \frac{0.6 1  - 0.64}{0.068} )[/tex]

     [tex]P(0.51 <  \^ p <  0.61 ) =  P(-1.470 < Z < -0.4412 )[/tex]

=>   [tex]P(0.51 <  \^ p <  0.61 ) =  P( Z < -0.4412 ) - P(Z <  -1.470 ) [/tex]

From the z table  the probabilities of  ( Z < -0.4412 ) and (Z <  -1.912 ) is

     [tex]P ( Z < -0.4412 )  = 0.32953 [/tex]

and  

    [tex]P(Z < -1.470 ) = 0.070781[/tex]

Generally

   [tex]P(0.51 <  \^ p <  0.61 ) =  0.32953 -0.070781 [/tex]

  [tex]P(0.51 <  \^ p <  0.61 ) =  0.2587 [/tex]

Generally the probability that the value of [tex]\^ p[/tex] will be greater than 0.71  is mathematically represented as

        [tex]P(\^ p > 0.71 ) = P( \frac{\^ p - \mu_{x}}{\sigma} > \frac{0.71 - 0.64 }{ 0.068 } )[/tex]

=>    [tex]P(\^ p > 0.71 ) = P( Z > 1.0294 )[/tex]

From the z table  the probabilities of ( Z >   1.0294  )

      [tex]P( Z > 1.0294 ) = 0.15165[/tex]

So

  [tex]P(\^ p > 0.71 ) = 0.15165[/tex]

Answer:

6 glasses

Step-by-step explanation:

3/4 = 6/8

Answer:

107.8

Step-by-step explanation:

The standard normal distribution has a cumulative distribution function (probability that the random variable, in this case the temperature, is less than a given number) well-known as erf, and the probability of [tex]T\in[-2.21,-1.52][/tex] is [tex]erf(-1.52)-erf(-2.21)\approx 0.0298109[/tex] (found using WolframAlpha)

Please mark as Brainliest!

Answer:

C

PLZ let me know if im wrong

1. 12

2. 28

3. 44

This is because when you multiply 4. It also increases the number when you multiply 7.

Answer:

Multiply the first numbers by three and then keep multiplying :)

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

Answer:

Usually n stands for a (positive) integer. The exclamation point used after an integer usually means “factorial.”

Step-by-step explanation:

Answer:

(1) 0 and 1

(2) Correct option D

Step-by-step explanation:

It is provided that pulse rates of women are normally distributed with a mean of 77.5 beats per minute and a standard deviation of 11.6 beats per minute.

Let X denote the pulse rates of women.

(1)

Let us consider a random variable, X that follows N (µ, σ²), then [tex]Z=\frac{X-\mu}{\sigma}[/tex], is a standard normal variate with mean, E (Z) = 0 and variance V (Z) = 1.

That is, Z follows N (0, 1).

In statistics, a standardized score is the number of standard deviations an observation or data point is from the mean.

Thus, z-scores are a type of standardized scores.

The values of the mean and standard deviation after converting all pulse rates of women to z scores are 0 and 1 respectively.

(2)

The z scores are numbers without units of measurement.

Answer:

b=4

Step-by-step explanation:

For this question we need to know the formula of slope that is m which is

[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

where [tex](x_1,y_1) , (x_2,y_2)[/tex] are the points [tex](5,-8),(-1,b)[/tex] respectively

and hence we have the value of m= -2 which is the slope we simply plug in all the values.

[tex]m=\frac{y_2-y_1}{x_2-x_1}\\\\-2=\frac{b-(-8)}{-1-5} \\\\-2=\frac{b+8}{-6} \\\\12=b+8\\12-8=b\\4=b[/tex]

So the value of b=4

Answer:

b is 4

Step-by-step explanation:

Several steps are required to find this answer. You need to use the information you are given as well as the formula y=mx+b. You are given the slope and one of the coordinates. Plug the information into the formula to find b, which is the constant.

The point given is (5,-8)

The slope given is -2

Plug the x and y into y=mx+b

-8=-2(5)+b

-8=-10+b

-8+10=b

b=2

Now that you have the full equation, y=-2x+2 , you can plug in the x-coordinate of the other coordinate to find the missing y-value.

y=-2(-1)+2

y=2+2

y=4

Therefore, the b you are solving for is 4.

Answer:

The probability that the shopping time will be between 25 and 30 minutes is 0.25.

Step-by-step explanation:

The question is:

What is the probability that the shopping time will be between 25 and 30 minutes?

Solution:

Let X represent the time spent shopping at a supermarket for a basket with 20 specific items.

It is provided that X follows Uniform (20, 40).

Compute the probability that the shopping time will be between 25 and 30 minutes as follows:

[tex]P(25<X<30)=\int\limits^{30}_{25} {\frac{1}{40-20}} \, dx[/tex]

                         [tex]=\int\limits^{30}_{25} {\frac{1}{20}} \, dx \\\\=\frac{1}{20}\times [x]^{30}_{25}\\\\=\frac{30-25}{20}\\\\=0.25[/tex]

Thus, the probability that the shopping time will be between 25 and 30 minutes is 0.25.

Answer:

I'm assuming A is -3/7 B is -0.4 and c is -1/5

Answer:

64.25

Step-by-step explanation:

Subtract 209.5-145.25=64.25

Answer:

64.25

Step-by-step explanation:

145.25 - 209.5 = -64.25, then you find the absolute value

Answer:

the missing value should be 14

Step-by-step explanation:

The answer to this is -4

Answer:

It would be 13.

Answer:

Clarence is 5 inches taller.

42-37=5

Answer:

Clarence is 5 inches taller.

Step-by-step explanation:

You are using subtraction by doing 42-37

42-37 cross out the 4 to be a 3, make the 2 a 12 and subtract 12-7=5

3-3 is 0 so it would be 5.

Answer:

x > 3

Step-by-step explanation:

Answer:

x > 3

Step-by-step explanation:

Step 1:

8x - 6 > 12 + 2x         Equation

Step 2:

6x - 6 > 12        Subtract 2x on both sides

Step 3:

6x > 18          Add 6 on both sides

Step 4:

x > 18 ÷ 6      Divide 6 on both sides

Answer:

x > 3

Hope This Helps :)

Answer:

slope = 5; y-intercept = (0,0)

Step-by-step explanation:

Answer:

slope= 5/1

y-intercept=0

Step-by-step explanation:

I hope this helps... if it does, may I be brainliest???

Answer:

3/4 of an hour or 45 minutes

Step-by-step explanation:

1/3=1/4 hour

2/3=2/4 hour

3/3=3/4 hour

Answer:

-7 is less than -2 is less than 3 is equal to 3 is equal to 3 is equal to 3 is equal to 3 is less than 6 is less than 7

Step-by-step explanation:

Answer:

diameter will be 18

and radiuse will be half of 18

Step-by-step explanation:

Answer:

800, 8000

Step-by-step explanation:

8*10=80*10=800, 8*10=80*100=8000

Im not exactly sure as to what the question you are asking or what lesson this is from but I hope this helped being the closest and only way I could answer this, terribly sorry if this wasn't the correct solution

Answer:

Length = [tex]13\ \text{ft}[/tex]

Width = [tex]7\ \text{ft}[/tex]

Step-by-step explanation:

Let

Breadth of the garden = x

According to the question length of the garden = 6+x

Fencing given for the rectangular garden = 27 ft

Perimeter of the garden is given by

[tex]6+x+x+x=27\\\Rightarrow 6+3x=27\\\Rightarrow x=\dfrac{27-6}{3}\\\Rightarrow x=7\ \text{ft}[/tex]

Here the garden's length will be along the garage so fencing will not done there. So length will be added only once in the perimiter.

The length of the garden is [tex]6+7 = 13\ \text{ft}[/tex] and the width is [tex]7\ \text{ft}[/tex].

Answer:

[tex]\%Change = 58.33\%[/tex]

Step-by-step explanation:

Given

[tex]Initial = 12[/tex]

[tex]Final = 19[/tex]

Required

Determine the percentage change

Percentage change is calculated as thus:

[tex]\%Change = \frac{|FInal - Initial|}{Initial} * 100\%[/tex]

[tex]\%Change = \frac{|19 - 12|}{12} * 100\%[/tex]

[tex]\%Change = \frac{|7|}{12} * 100\%[/tex]

[tex]\%Change = \frac{7}{12} * 100\%[/tex]

[tex]\%Change = \frac{7* 100\%}{12}[/tex]

[tex]\%Change = \frac{700\%}{12}[/tex]

[tex]\%Change = 58.33\%[/tex]

Answer:

45

Step-by-step explanation:

just add them but why is there a I

Answer:

41+5i

Step-by-step explanation:

Combine like terms; 9+11+21.