20 POINTS!!
Suppose that, based on a sample, the 95% confidence interval for the mean of
a population is (23,39). What was the mean of the sample?
A. 31
B. 37
C. 35
D. 33

Answer:

The standard deviation is of 7.22 people.

Step-by-step explanation:

For each person, there are only two possible outcomes. Either they have the mutation, or they do not. The probability of a person having the mutation is independent of any other person, which means that the binomial probability distribution is used to solve this question.

Binomial probability distribution

Probability of exactly x successes on n repeated trials, with p probability.

The expected value of the binomial distribution is:

[tex]E(X) = np[/tex]

The standard deviation of the binomial distribution is:

[tex]\sqrt{V(X)} = \sqrt{np(1-p)}[/tex]

About 7% of the population has a particular genetic mutation.

This means that [tex]p = 0.07[/tex]

800 people are randomly selected.

This means that [tex]n = 800[/tex]

Find the standard deviation for the number of people with the genetic mutation in such groups of 800.

[tex]\sqrt{V(X)} = \sqrt{np(1-p)} = \sqrt{800*0.07*0.93} = 7.22[/tex]

The standard deviation is of 7.22 people.

Answer:

[tex]\begin{array}{cccc}{Scores} & {f} & {LB} &{CF} & {39-41} & {6} & {39} &{6} & {36-38} & {7} & {36} &{13}& {33-35} & {9} &{33}&{22}& {30-32} & {13}&{30} &{35} & {27-29} & {22} &{27}&{57} & {24-26} & {10} &{24}&{67} & {21-23} & {9} &{21} &{76}& {18-20} & {7} &{18}&{83}& {15-17} & {8} &{15}&{91}& {12-14} & {4} &{12}&{95}& {9-11} & {2} &{9}&{97}& {6-8} & {1} &{6}& {98}&{3-5} & {1} &{3}&{99} \ \end{array}[/tex]

Step-by-step explanation:

Given

See attachment for complete question

Required

Fill in the blanks

First, we fill in the lower boundary (LB).

This is done by writing out the lower boundary of each class

So, we have:

[tex]\begin{array}{ccc}{Scores} & {f} & {LB} & {39-41} & {6} & {39} & {36-38} & {7} & {36} & {33-35} & {9} &{33}& {30-32} & {13} &{30}& {27-29} & {22} &{27}& {24-26} & {10} &{24}& {21-23} & {9} &{21}& {18-20} & {7} &{18}& {15-17} & {8} &{15}& {12-14} & {4} &{12}& {9-11} & {2} &{9}& {6-8} & {1} &{6}& {3-5} & {1} &{3} \ \end{array}[/tex]

Next, is to fill the CF column

This is done by adding the current with the previous cumulative frequency.

So, we have:

[tex]\begin{array}{cccc}{Scores} & {f} & {LB} &{CF} & {39-41} & {6} & {39} &{6} & {36-38} & {7} & {36} &{6 + 7 = 13}& {33-35} & {9} &{33}&{13+9 = 22}& {30-32} & {13}&{30} &{22+13=35} & {27-29} & {22} &{27}&{35+22=57} & {24-26} & {10} &{24}&{57+10=67} & {21-23} & {9} &{21} &{67+9=76}& {18-20} & {7} &{18}&{76+7=83}& {15-17} & {8} &{15}&{83+8=91}& {12-14} & {4} &{12}&{91+4=95}& {9-11} & {2} &{9}&{95+2=97}& {6-8} & {1} &{6}& {97+1=98}&{3-5} & {1} &{3}&{98+1=99} \ \end{array}[/tex]

Thia is the complete table of filling the values of LB(lower boundaries) and <cf (less than commulative frequency).

Answer:

-3/4

Step-by-step explanation:

From point (0,3), to get to point (4,0) you would need to go down 3 units, and right 4 units.

Hope this helps

Answer:

20 feet

Step-by-step explanation:

Volume = length x width x height

1200 = 10 x 6 x h

1200 = 60h

h = 1200/60

height = 20

The rectangular bin is 20 feet deep.

A cuboid is a three-dimensional shape in which all sides are rectangles. A cuboid has 6 faces, 8 vertices, and 12 edges. All the angles formed at the vertices of a cuboid are right angles. The opposite edges are parallel to each other.

For the given situation,

A rectangular bin is in the shape of a cuboid.

Volume of the rectangular bin,V = 1200 cubic feet

Length of the rectangular bin,l = 10 feet

Width of the rectangular bin,w = 6 feet

Let the height of the rectangular bin be h.

The formula of volume of cuboid is

[tex]V=lwh[/tex]

Now substitute the above values,

⇒ [tex]1200=(10)(6)h[/tex]

⇒ [tex]h=\frac{1200}{60}[/tex]

⇒ [tex]h=20[/tex]

Hence we can conclude that the rectangular bin is 20 feet deep.

Learn more about cuboid here

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Answer:

The exponential probability should be 33%.

Step-by-step explanation:

[tex]4 \div 12 = .33 \\ [/tex]

[tex].33 \times 100 = 33\%[/tex]

The experimental probability of rolling a multiple of 3 will be 33%.

Its basic premise is that something will almost certainly happen. The percentage of favorable events to the total number of occurrences.

A pair of dice was rolled many times and the results appear below. Based upon these results.

Outcome      2     3     4     5     6     7     8     9     10     11     12

Frequency    3    6     8     11     14   16    15    12     9      5      1

Then the experimental probability of rolling a multiple of 3 will be

Favorable events = 6 + 14 + 12 + 1 = 33

Total events = 100

Then the probability will be

P = (33 / 100) x 100

P = 0.33 x 100

P = 33%

More about the probability link is given below.

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Answer:

ha ha ha... yesno

Step-by-step wrong explanation:

becoause it is the dilemma of the miniyamma

Answer:

See Explanation

Step-by-step explanation:

Given

Edge Landscaping:

[tex]\begin{array}{cc}{Hours} & {Total} & {1.5} & {\$26} & {3} & {\$44} & {3.5} & {\$50} & {4.5} & {\$62} \ \end{array}[/tex]

The rates (m) of the above table is calculated using:

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

From the table, we have the following points

[tex](x_1,y_1) = (1.5,26)[/tex]

[tex](x_1,y_1) = (4.5,62)[/tex]

So, the rate is:

[tex]m = \frac{62 - 26}{4.5 - 1.5}[/tex]

[tex]m = \frac{36}{3.0}[/tex]

[tex]m = 12.0[/tex]

This means that the rate of edge landscaping is $12.0 per hour

The equation for Gatewood is not given. Hence, the rate cannot be calculated. However, the general procedure of calculating rates from a linear equation is as follows;

A linear equation is of the form:

[tex]y = mx + b[/tex]

Where:

[tex]m \to slope\ or\ rates[/tex]

In other words, if the equation is:

[tex]y = 20x + 5[/tex]

Then the rate is: 20 ($20/hour)

If the equation is: [tex]y = 10x + 5[/tex]

Then the rate is 10 ($10/hr)

Next, is to compare the rates;

For Edge landscaping, we have:

[tex]m = 12.0[/tex]

For Gatewood, we have:

[tex]m = 10[/tex] ------------ assume the equation is: [tex]y = 10x + 5[/tex]

Compare the rates:

[tex]12 > 10[/tex]

Hence, Edge landscaping has a greater hourly rate

Answer:

[tex]SA(x) = x^2 + \frac{12}{x}[/tex]

Step-by-step explanation:

Given

[tex]V = 3m^3[/tex] --- volume

[tex]x \to base\ length[/tex]

[tex]y \to height[/tex]

Required

The surface area as a function of base length

The volume (V) is calculated as:

[tex]V = Base\ Area * Height[/tex]

[tex]V = x*x*y[/tex]

[tex]V = x^2*y[/tex]

Make y the subject

[tex]y = \frac{V}{x^2}[/tex]

Substitute 3 for V

[tex]y = \frac{3}{x^2}[/tex]

The surface area of the open box is:

[tex]SA = x^2 + 2xy+2xy[/tex]

[tex]SA = x^2 + 4xy[/tex]

Substitute: [tex]y = \frac{3}{x^2}[/tex]

[tex]SA = x^2 + 4x*\frac{3}{x^2}[/tex]

[tex]SA = x^2 + 4*\frac{3}{x}[/tex]

[tex]SA = x^2 + \frac{12}{x}[/tex]

Hence, the function is:

[tex]SA(x) = x^2 + \frac{12}{x}[/tex]

Answer:

Parallel means that the lines never intersect. If the equation of the new line is y=ax+b , then the system

y=ax+b

y=2x+5

needs to have no solutions. Subtracting the equations gives us

(a−2)x+(b−5)=0

In order for this to ever be 0 we need either a≠2 or b=5 , so to stop this from happening, we will require both a=2 and b≠5 .

Since our line now has the form y=2x+b , and (4,5) is on the line, then the equation

5=2⋅4+b

should be true. Since this implies that b=−3 , we have that the parallel line going through (4,5) has equation

y=2x−3

What is an equation of a line that goes through point (4,-5) and is parallel to y=2x+8?

Which line is parallel to the line y = 2x -4?

What is an equation for a line parallel to y = 5 x -5 and passing through the point (4,19)?

What is an equation for the line that is parallel to y= -4x

Answer:

Correct.

Step-by-step explanation:

It looks good to me.

Good job!

Answer:

Sorry if this is wrong, but seeing the question I think the best answer following the question would be answer B, because for A it shows that 1 hour is 35 miles when it says 70 miles in 1 hour, not C because as the time rises so does the distance, and I checked D and it's wrong.

Step-by-step explanation:

Answer:

1. [tex]2 \frac{2}{7} [/tex]

2. [tex]2 \frac{1}{3} [/tex]

3. [tex] \frac{5}{12} [/tex]

4. [tex]8 \frac{2}{3} [/tex]

5. [tex] \frac{2}{3} [/tex]

Step-by-step explanation:

[tex] \frac{8}{3} \div \frac{7}{6} [/tex]

[tex] \frac{8}{3} \times \frac{6}{7} [/tex]

[tex]8( \frac{2}{7} )[/tex]

[tex] \frac{8 \times 2}{7} [/tex]

[tex] \frac{16}{7} [/tex]

[tex]2 \frac{2}{7} [/tex]

[tex] \frac{20}{3} \div \frac{20}{7} [/tex]

[tex] \frac{20}{3} \times \frac{7}{20} [/tex]

[tex] \frac{1}{3} \times 7[/tex]

[tex] \frac{7}{3} [/tex]

[tex]2 \frac{1}{3} [/tex]

[tex] \frac{25}{6} \div \frac{10}{1} [/tex]

[tex] \frac{25}{6} \times \frac{1}{10} [/tex]

[tex] \frac{5}{6} \times \frac{1}{2} [/tex]

[tex] \frac{5}{6 \times 2} [/tex]

[tex] \frac{5}{12} [/tex]

[tex] \frac{13}{2} \div \frac{3}{4} [/tex]

[tex] \frac{13}{2} \times \frac{4}{3} [/tex]

[tex]13( \frac{2}{3} )[/tex]

[tex] \frac{13 \times 2}{3} [/tex]

[tex] \frac{26}{3} [/tex]

[tex]8 \frac{2}{3} [/tex]

[tex] \frac{15}{4} \div \frac{45}{8} [/tex]

[tex] \frac{15}{4} \times \frac{8}{45} [/tex]

[tex] \frac{1}{4} \times \frac{8}{3} [/tex]

[tex] \frac{2}{3} [/tex]

Answer:

bd would also equal 5 i love math

Step-by-step explanation:

Answer:

There's no diagram.

I guess You forgot to send.

I'll guess its a quadrilateral.

Draw out a little quadrilateral...eg a rectangle

Label your points.

From the labelling ... Distance BD is now the diagonal of the rectangle.

Using Pythagorean theorem to get it...

BD = √12²+5²

BD=13.

Step-by-step explanation:

x = 180-106 = 74°

y = x/2 = 74/2 = 37°

4z+6 =106

4z = 100

z = 25°

Answer:

(32 ÷4) +8

Step-by-step explanation:

More than means it comes after

quotient of 32 and 4

32÷ 4

8 more than

(32 ÷4) +8

Answer:

b. x=4 and y= 2

...........

Answer:

I would tell you but you do not have a picture

Answer:

x = 60.6

Step-by-step explanation:

tan x = opp/adj

tan x = 3.9/2.2

x = tan^-1 3.9/2.2

x = 60.6

Answer:

Half of the trees are not fruit trees

Answer:

It means that half of the trees are fruits while the other half sprouts vegetables.

Step-by-step explanation:

100% (trees) / 2 (types of trees, in this case, fruits and vegetables) = 50% (fruit trees) : 50% (vegetable trees)

Answer:

Answer: a

Step-by-step explanation:

Answer:

6

Step-by-step explanation:

First, find x

RT = 2x + 3x

10 = 2x+3x

10 = 5x

10/5 = 2

Now place 2 in place of x in the line ST

ST = 3x

ST = 3 * 2

ST = 6

Answer:

16.8 [tex]m^{3}[/tex]

Step-by-step explanation:

Find your answer by using the formula of a cone (v= [tex]\frac{1}{3}[/tex]π[tex]r^{2}[/tex]h)

r= 2 (half of your diameter, which is 4)

h= 4

By inserting your radius and height, you get v= [tex]\frac{1}{3}[/tex]π([tex]2^{2}[/tex])4.

Put that into a calculator and you get 16.75516, which rounds to 16.8.

Answer:

B I think because i did my math

Step-by-step explanation:

Answer:

I got :

Step-by-step explanation:

see attached photo

Step-by-step explanation:

The angle of an equilateral triangle is 180°, and its three internal angles are equal, all being 60°.

9514 1404 393

Answer:

  g(x) = |x -7|

Step-by-step explanation:

The form given for your answer has parameters 'a', 'h', and 'k'. The parameter 'a' is the vertical scale factor. Since g(x) is a translation only, that factor is 1. The parameters (h, k) identify the translation (right, up). The translation is 7 units right and 0 units up, so (h, k) = (7, 0).

Filling in these values of the parameters, your g(x) is ...

  g(x) = |x -7|

Answer:

x= 55

Step-by-step explanation:

Answer:

x is 55 degrees

Step-by-step explanation:

since it is a right angle set up the equation

20+x+15=90

then solve to get 55

9514 1404 393

Answer:

  (b)  93°

Step-by-step explanation:

Assuming the line containing YT is a diameter, the measure of angle UYT is ...

  180° -87° = 93° = m∠UYT

Answer:

A) 2. Seconds

4. Minutes

B) 2. Measure the times of 24 volunteers who run a lap around the track.

3. Randomly pick 24 students to run a lap around the track and measure their times.

Step-by-step explanation:

A. The unit(s) that could be used for the unit of measurement are the units used to measure time and the correct answer according to the options given above is seconds and minutes.

B. Which of the procedures below would be the best way to find the average time?

2. Measure the times of 24 volunteers who run a lap around the track.

3. Randomly pick 24 students to run a lap around the track and measure their times.

Answer:   0.8

Step-by-step explanation: