The brain volumes ​(cm cubed​) of 20 brains have a mean of 1162.8 cm cubed and a standard deviation of 127.1 cm cubed. Use the given standard deviation and the range rule of thumb to identify the limits separating values that are significantly low or significantly high. For such​ data, would a brain volume of 1377.0 cm cubed be significantly​ high?

Answer:

X=1.22

Step-by-step explanation:

I just got the question wrong and it gave me the right answer

Answer:

$ 14.08

Step-by-step explanation:

We have that the policy costs $ 94 and with life insurance with coverage of $ 120,000, to calculate the expected value, we must subtract the value of that life insurance multiplied with the probability of dying (complement of the probability of living) and the policy value multiplied by the probability of staying alive) like this:

120000 * (1 - 0.9991) - 94 * 0.9991 = 14.0846

Which means that the expected value of the policy is $ 14.08

Answer:

x=2

Step-by-step explanation:

f(x) = -3x + 5.

f(x) =-1

-1 = -3x+5

Subtract 5 from each side

-1 -5 = -3x+5-5

-6 = -3x

Divide each side by -3

-6/-3 = -3x/-3

2 =x

Answer:

i

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

Answer:

a. P(CWC)=0.046875

b.  P(WCC)=0.046875

    P(CCW)=0.046875

c. P=0.140625

Step-by-step explanation:

By the rule of multiplication there are 64 forms to answer three questions. This is calculated as:

    4 _          *            4               *             4            = 64

1st question      2nd question     3rd question

Because there are 4 options for every question. At the same way, from that 64 options, 3 are CWC and it is calculated as:

    1 _          *            3               *             1            = 3

1st question      2nd question     3rd question

Because there is just one answer that is correct for the first question, there are 3 answers wrong for the second question and there are 1 answer correct for the third question.

So, the probability P(CWC) is equal to:

[tex]P(CWC)=\frac{3}{64}=0.046875[/tex]

Then, the complete list of the different possible arrangements of two correct answers and one wrong answer are: CWC, WCC and CCW

Therefore, the probabilities P(WCC) and P(CCW) are calculated as:

[tex]P(WCC)=\frac{3*1*1}{64}=\frac{3}{4}= 0.046875[/tex]

[tex]P(CCW)=\frac{1*1*3}{64}=\frac{3}{4}= 0.046875[/tex]

Finally, the probability of getting exactly two correct answers is the sum of the probabilities calculated before.

[tex]P=P(CWC)+P(WCC)+P(CCW)\\P=0.046875+0.046875+0.046875\\P=0.140625[/tex]

Answer:

73.2 miles i am not so sure

Step-by-step explanation:

Answer:

The onject 1/8 of the length of the path 3/4 in second.

Using the ratio and proportion to find the total time does it take the object to travel the entire length of the path as following

Length:time

X:(total time )

Total time x.(3/4)/(1/8x)=(3/4)/(1/8) = 6 seconds

Answer:

a)

Answer : d)

Null hypothesis:-H₀ : p =0.8

Alternative Hypothesis :H₁: p < 0.8

b)

Answer : c)0.77

point estimate of the population proportion= 0.77

c)

Answer : e) -0.863

Step-by-step explanation:

step(i):-

Given Population proportion 'p' =80% = 0.80

Given   a sample of 120 housing loan applications, the group found that 92 were settled within 7 working days.

Sample proportion or point estimation

                      [tex]p^{-} = \frac{x}{n} = \frac{92}{120} =0.766[/tex]

Null hypothesis:-H₀ : p =0.8

Alternative Hypothesis :H₁: p < 0.8

Step(ii):-

Test statistic

 [tex]Z = \frac{p^{-} -p}{\sqrt{\frac{p q}{n} } }[/tex]

population proportion p =0.8

                                 q = 1-p = 1-0.8 =0.2

      [tex]Z = \frac{0.77 -0.80}{\sqrt{\frac{0.80 x 0.20}{120} } }[/tex]

     Z = -0.863

|Z| = | -0.863| = 0.863 < 1.96 at 0.05 level of significance

Null hypothesis is accepted

. A customer group believes that all housing loans applied to this corporation that are settled within 7 working days is equal to the 80% of all housing loans.

Answer:

Step-by-step explanation:

so much for bein a college student.

Answer:

Step-by-step explanation:

Total surface of the cube = 6a²

                                          = 6 * 42 * 42

                                          = 10584 cm²

Hole that is drilled out, will make a cylinder shape in the middle of the cube

Volume  of iron in the cube = Volume of cube  - volume of cylinder

Volume of cube = a³

                          = 42 * 42 * 42

                         = 74088 cm³

Cylinder:

r = 14/2 = 7 cm

h = sideof the cube = 42 cm

Volume = πr²h

            [tex]=\frac{22}{7}*7*7*42\\\\=22*7*7*6[/tex]

           = 6468 cm³

Volume  of iron in the cube = Volume of cube  - volume of cylinder

                                             = 74088 - 6468

                                             = 67620 cm³

Question:

The geometric sequence ; is defined by the formula: [tex]a_1 =10[/tex] ; [tex]a_i =a_{i-1} * \frac{9}{10}[/tex] Find the sum of the first 75 terms in the sequence .

Answer:

[tex]S_{75} = 99.963001151[/tex]

Step-by-step explanation:

Given

[tex]a_1 =10[/tex]

[tex]a_i =a_{i-1} * \frac{9}{10}[/tex]

Required

Find the sum of 75 terms

Given that the sequence is geometric;

First, the common ratio has to be calculated;

The common ratio is defined as follows;

[tex]r = \frac{a_{i}}{a_{i-1}}[/tex]

Let [tex]i = 2[/tex]

[tex]r = \frac{a_{2}}{a_{2-1}}[/tex]

[tex]r = \frac{a_{2}}{a_{1}}[/tex]

So,

[tex]a_i =a_{i-1} * \frac{9}{10}[/tex] becomes

[tex]a_2 =a_{2-1} * \frac{9}{10}[/tex]

[tex]a_2 =a_{1} * \frac{9}{10}[/tex]

Divide through by [tex]a_1[/tex]

[tex]\frac{a_2}{a_1} =\frac{a_{1} * \frac{9}{10}}{a_1}[/tex]

[tex]\frac{a_2}{a_1} = \frac{9}{10}[/tex]

Recall that [tex]r = \frac{a_{2}}{a_{1}}[/tex]

So, [tex]r = \frac{9}{10}[/tex]

Given that r < 1;

The sum of n terms is calculated as thus;

[tex]S_n = \frac{a(1-r^n)}{1-r}[/tex]

To calculate the sum of the first 75 terms, we have the following parameters

[tex]n = 75\\a = a_1 = 10\\r = \frac{9}{10} = 0.9[/tex]

[tex]S_n = \frac{a(1-r^n)}{1-r}[/tex] becomes

[tex]S_{75} = \frac{10(1-0.9^{75})}{1-0.9}[/tex]

[tex]S_{75} = \frac{10(1-0.9^{75})}{0.1}[/tex]

[tex]S_{75} = 100(1-0.9^{75})[/tex]

[tex]S_{75} = 100(1-0.00036998848)[/tex]

[tex]S_{75} = 100(0.99963001151)[/tex]

[tex]S_{75} = 99.963001151[/tex]

Answer:

$4.20

Step-by-step explanation:

Calculation for the standard deviation of the fare passengers pay of Blue Cab Company:

T = Total amount of the cab fare

Formula for Standard deviation of T will be:

T = σa+bX= bσX.

To convert the rate to dollars per mile from dollars per tenth of a mile, it will be:

b= 3

Hence,

Standard deviation of T is :

3.00(1.4) = $4.20.

Answer:

answer B [tex]\boxed{ \ 569 \ }\\[/tex]

Step-by-step explanation:

f(8)=-2*8+5=-11

g(8)=9*8*8+4=580

f(8)+g(8)= -11+580=569

Answer:

13 miles

Step-by-step explanation

27 miles in 2 hours

x miles in 1 hours

2x=27

x=13.5

Answer:

The initial temperature of the coffee was 90°C.

Step-by-step explanation:

The function representing the temperature of the coffee after x minutes is:

[tex]T(x)=70\cdot(0.80)^{x}+20[/tex]

T is the temperature in degree Celsius.

The initial temperature of the coffee will be at x = 0.

Compute the value of T (x) at x = 0 as follows:

[tex]T(x)=70\cdot(0.80)^{x}+20[/tex]

[tex]T(0)=70\cdot (0.80)^{0}+20[/tex]

        [tex]=70\times 1+20\\=70+20\\=90[/tex]

Thus, the initial temperature of the coffee was 90°C.

Answer:

Step-by-step explanation:

A Parameter is a value that represents a property of a population. This could be the population mean.

A statistic is a value that represents a property of a sample. This could be the sample mean.

In the given scenario, the population is the entire 14 teams. This means that the percentage given is a value representing a property of the population. Therefore, the correct answer is

C. Parameter, because the data set of all 14 teams is a population.

Answer: A Parameter is a value that represents a property of a population. This could be the population mean.A statistic is a value that represents a property of a sample. This could be the sample mean.In the given scenario, the population is the entire 14 teams. This means that the percentage given is a value representing a property of the population. Therefore, the correct answer is C. Parameter, because the data set of all 14 teams is a population.

Step-by-step explanation:

Answer:

f(n)=-5-3n

Step-by-step explanation:

Given the recursive formula of a sequence

f(1)=−8

f(n)=f(n−1)−3

We are to determine an explicit formula for the sequence.

f(2)=f(2-1)-3

=f(1)-3

=-8-3

f(2)=-11

f(3)=f(3-1)-3

=f(2)-3

=-11-3

f(3)=-14

We write the first few terms of the sequence.

-8, -11, -14, ...

This is an arithmetic sequence where the:

First term, a= -8

Common difference, d=-11-(-8)=-11+8

d=-3

The nth term of an arithmetic sequence is determined using the formula:

T(n)=a+(n-1)d

Substituting the derived values, we have:

T(n)=-8-3(n-1)

=-8-3n+3

T(n)=-5-3n

Therefore, the explicit formula for f(n) can be written as:

f(n)=-5-3n

Answer:

72+9(n−1)

Step-by-step explanation:

I hope this helps, Its from khan <3

Answer:

boys = 9 ( eighth grade ) + 1 ( seventh grade) = 10 boys

girls = 3 (eight grade) + 9 ( seventh grade) = 12

probability = 22÷ 2

= 1/11

Answer:

The probability that a randomly selected student didn’t take economics but did take statistics is 13%.

Step-by-step explanation:

Let the event that a student offers Economics be E.

The event that a student does NOT offer Economics is E'.

Let the event that a student offers Statistics be S.

The event that a student does NOT offer Statistics be S'.

P(E) = 13.5% = 0.135

P(S) = 24.7% = 0.247

P(E n S) = 11.7% = 0.117

Find the probability that a randomly selected student didn’t take economics but did take statistics

This probability = P(E' n S)

Since E and E' are mutually exclusive events,

P(S) = P(E' n S) + P(E n S)

P(E' n S) = P(S) - P(E n S)

P(E' n S) = 0.247 - 0.117 = 0.13 = 13%

Hope this Helps!!!

Answer:

0.0221 feet per minute.

Step-by-step explanation:

[tex]\text{Volume of a cone}=\dfrac{1}{3}\pi r^2 h[/tex]

If the Base Diameter = Height of the Cone

The radius of the Cone = h/2

Therefore,

[tex]\text{Volume of the cone}=\dfrac{\pi h}{3} (\dfrac{h}{2}) ^2 \\V=\dfrac{\pi h^3}{12}[/tex]

Rate of Change of the Volume, [tex]\dfrac{dV}{dt}=\dfrac{3\pi h^2}{12}\dfrac{dh}{dt}[/tex]

Since gravel is being dumped from a conveyor belt at a rate of 10 cubic feet per minute. Therefore, the Volume of the cone is increasing at a rate of 10 cubic feet per minute.

[tex]\dfrac{dV}{dt}=10$ ft^3/min[/tex]

We want to determine how fast is the height of the pile is increasing when the pile is 24 feet high.

We have:

[tex]\dfrac{3\pi h^2}{12}\dfrac{dh}{dt}=10\\\\$When h=24$ feet$\\\dfrac{3\pi *24^2}{12}\dfrac{dh}{dt}=10\\144\pi \dfrac{dh}{dt}=10\\ \dfrac{dh}{dt}= \dfrac{10}{144\pi}\\ \dfrac{dh}{dt}=0.0221$ feet per minute[/tex]

When the pile is 24 feet high, the height of the pile is increasing at a rate of 0.0221 feet per minute.

Answer:

C

Step-by-step explanation:

(x, y) -> (1/2x, 1/2y)

When you dilate a side, point, etc, you are multiplying the original dimension by the scale factor. That is represented in option C: the original x and y are multiplied by the scale factor, 1/2! Hope that helps! :)

Answer:

C. (x,y) → (1/2x,1/2y)

Step-by-step explanation:

Dialation means to multiply each coordinate by scale factor and in this case it's 1/2

Answer:

930.91

Step-by-step explanation:

931 x 99% = 921.69

921.69 x 101% = 930.9069

Answer:

930.91

Step-by-step explanation:

931*99%=921.69

921.69*101=930.91

Answer:

  6750 - 3894 = 2856

Step-by-step explanation:

You have to make use of the arithmetic facts you know.

The least-significant asterisk must be 0, because the sum of 4 and 6 is 10.

The 10s asterisk must be 9,so that the sum 5 + 9 + 1 has a least-significant digit of 5.

The 100s asterisk must be 7, because that is the least-significant digit of the sum 8 + 8 + 1 = 17.

The 1000s asterisk must be 3, so that 2 + 3 + 1 = 6.

(The "1" in each of these sums is the carry from the sum of the digits with the next lower place value.)

So, the subtraction problem is ...

  6750 - 3894 = 2856

_____

Comment on the solution method

For the most part, we worked this as an addition problem. The sum of the last two numbers must be equal to the first: 6570 = 3894 +2856. For some of us, addition facts are easier to work with than subtraction facts. The carry/borrow can be less confusing that way.

Complete Question

The complete question is  shown on the first uploaded image

Answer:

Option D is the correct answer

Step-by-step explanation:

   Now looking at the bar chart we see that a greater number of employee over the age of 45 preferred the 4-day work week compared to the number of employee between 30- 45 who preferred to have a flexible work hour and employee below 30  who' s preference are the same for both type of work hours

Answer:

Se requiere un 20 por ciento de descuento.

Step-by-step explanation:

(This exercise has been presented in Spanish and for that reason explanation will be held in the same language)

Sea [tex]p_{o}[/tex] el precio original del computador portatil, el nuevo precio es:

[tex]p_{1} =\left(\frac{100\,\% + 25\,\%}{100\,\%} \right)\cdot p_{o}[/tex]

[tex]p_{1} = 1.25\cdot p_{o}[/tex]

Si [tex]p_{2} = p_{o}[/tex], entonces el porcentaje requerido para recuperar el precio original es:

[tex]r = \left(1-\frac{p_{2}}{p_{1}} \right)\times 100\,\%[/tex]

[tex]r = \left(1-\frac{p_{o}}{1.25\cdot p_{o}} \right)\times 100\,\%[/tex]

[tex]r = \left(1-\frac{1}{1.25} \right)\times 100\,\%[/tex]

[tex]r = 20\,\%[/tex]

Se requiere un 20 por ciento de descuento.

Answer:

Dear user,

Answer to your query is provided below

A number is divisible by 9, if the sum is a multiple of 9 or if the sum of its digits is divisible by 9.

Step-by-step explanation:

Here , It is given that the number is three digit in which units digit is 2 and hundreds digit is 4.

As per rule, the sum of its digits should've divisible by 9. So, Let the unknown digit be X .

Therefore, 2+X+4 =9

This implies, X = 9-2-4 = 3

So, the three digit number will be 432.

Verify - 432/9 = 48

Hence proved

Answer:graph C is the answer because if you put the both values from the graph it satisfies the equation

Answer:

Graph C

Step-by-step explanation:

The given equation is in the form y=mx+b

This is slope-intercept form.

This is where m represents the slope, and b represents the y-intercept.

Therefore, the slope is 3 and the y-intercept is 2.

Let's first name all the equations with a y-intercept of 2.

That would be B and C.

Now, let's find the equation with a slope of 3.

Let's find the slope for B.

The formula for slope is: y1-y2/x1-x2

A point is: (x coordinate, y coordinate)

In the formula,

y1 is the y coordinate of the first point

y2 is the y coordinate of the second point

x1 is the x coordinate of the first point

x2 is the x coordinate of the second point

This said, we can plug our points in.

6-2/2-0

4/2

2

The slope for Graph B is 2, so it is incorrect.

Let's find the slope for Graph C.

2-(-1)/0-(-1)

2+1/0+1

3/1

3

The slope for Graph C  is 3, and it has a y-intercept of 2, so Graph C is the correct choice.

Answer:

4(x - 1) = 6(x + 3)

x = -11

Step-by-step explanation:

x represents “the number” so we would substitute this with a variable.

(I hope this helps! Have a great day AND STAN BTS)