Please help me thanks

Answer:

462 ft²

Step-by-step explanation:

The area of the annulus sector is given by the area of the outer circle (radius of 14 ft) minus the area of the inner circle (radius of 7 ft).

The area of a circle is:

[tex]A=\pi r^2[/tex]

Therefore, the area of the annulus sector is:

[tex]A_A=A_O-A_I\\A_A=\pi*14^2-(\pi*7^2)\\A_A=147\pi\\A_A= 462\ ft^2[/tex]

The area, rounded to the nearest square foot, is 462 ft².

Answer:

30

Step-by-step explanation:

Answer:

  1102.8 mm^2

Step-by-step explanation:

We presume your equation is intended to be ...

  y = 112(1.58)^t

Since t is in minutes, fill in the given value and do the arithmetic:

  y = 112(1.58)^5 = 112(9.84658) ≈ 1102.8

The approximate size of the bacteria strain will be 1102.8 mm^2 after 5 minutes.

Answer:

Explanation:

To find the size of bacteria in five minutes, substitute 5 for t in the equation and simplify:

y = 112(1.58)5

  = 112 ∙ 9.85

  = 1,103.2.

Round the answer to the closest integer to get 1,103.

Step-by-step explanation:

Answer: The answer is provided below

Step-by-step explanation:

Statistical Process Control (SPC) is described as the applied side of binomial, poisson, and the normal distributions. It has been often said that an X-bar control chart is a normal distribution that is turned on its side. Some people argue that statistics shouldn’t cover these applications because it represent an analytical skill rather than statistical technique. It's an application of what is learnt on statistics.

Statistical Process Control(SPC) is very useful in our lives. As a statistics student, one should be thorough with every mathematical concepts and its applications.

Answer:

90 degree

Step-by-step explanation:

Three points A, B, and C are added and shown in attached picture.

As the property of inscribed angle in circle:

angle BAC = (1/2) x 88 = 44 deg

As the property of complement angle:

angle ABC = 180 - 89 = 91 deg

As the property of sum of three angles in a triangle:

angle ACB + angle ABC + angle BAC = 180 deg

=> angle ACB = 180 - angle ABC - angle BAC = 180 - 44 - 91 = 45 deg

One more time, we use the property of inscribed angle in circle:

x = 2 x angle ACB = 2 x 45 = 90 deg

Hope this helps!

Answer:

1 / 15

Step-by-step explanation:

The vertical change (rise) is 6 - 3, or just 3.  The horizontal change (run) is 0.4 - 0.2, or 0.2.  Thus the slope of this line is m = rise / run = 0.2 / 3 = 2 / 30 = 1 / 15

Answer:

240 table tops or none

Step-by-step explanation:

p(x) = 480x- 2x^2

For profit to be 0, it means;

p(x)= 0

Therefore 480x- 2x^2 = 0

Dividing through by 2 we have ;

240x - x^2 = 0

By factorisation of x we have ;

(240-x) x = 0

x = 0 or 240-x= 0; x= 240( by moving x to the right of the expression:240-x= 0; we have 240=x => x=240).

So the company needs to produce 240 table tops or none in order not to make a profit.

The company need to make a profit of zero dollars will be 240.

A monetary profit, particularly the distinction between the amount gained and the actual cost of purchasing, running or creating anything.

The profit a company makes from producing x tabletops is modeled by the equation is given as,

p(x) = 480x – 2x²

Then the company need to make a profit of zero dollars will be

p(x) = 0

480x – 2x² = 0

2x(240 – x) = 0

                x = 0, 240

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Answer:

Volume = PI * radius^2 * height / 3

Volume = 4,712.39 cubic feet

Lateral Area = PI * radius * slant height

slant height^2 = 20^2 + 15^2

slant height ^2 = 625 slant height = 25

Lateral Area = PI * 15 * 25 = 1,178.1 square feet

Surface Area = PI * radius^2 = 706.86 square feet

Step-by-step explanation:

Answer:

5.25 kilometers

Step-by-step explanation:

63k/60 = 1.05k

1.05k x 5 = 5.25k

Answer:

the range for this problem is the first one

The range of  f(x) =(3/4)ˣ- 4 function is {yly>-4}, Option A is correct.

A relation is a function if it has only One y-value for each x-value.

The function f(x) = (3/4)ˣ- 4 is an exponential function with a base of 3/4. The base is between 0 and 1, which means that the function is decreasing as x increases.

The function has a vertical asymptote at x = infinity, since the base is between 0 and 1, and the function approaches 0 as x approaches negative infinity.

As the exponential function (3/4)ˣ approaches 0 as x approaches infinity, we have:

lim((3/4)ˣ) = 0 as x -> infinity

So, the range of the given function is all real numbers greater than -4.

Hence, the range of function f(x) =(3/4)ˣ- 4  is {yly>-4}, Option A is correct.

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Answer:

a.    [tex]\hat{amount} \ \hat{ spent} = -91.67 - (229.47* ownhome)-(604.90 * close) +(0.02216 * salary) + (42.62 * catalogs)[/tex]

b.    the expected amount spent by Amy is $1144.47

c.    the expected amount that Brenda is going to spend is $1749.37

Step-by-step explanation:

(a)

From the regression output; the equation for the regression model can be written as:

[tex]\hat{amount} \ \hat{ spent} = -91.67 - (229.47* ownhome)-(604.90 * close) +(0.02216 * salary) + (42.62 * catalogs)[/tex]

From the information given in the question;

(b)

Amy does not own a home but rent; the variables given also stated that ;

Own Home = 1 if customer owns home, 0 if renting

So for Amy ; Own Home = 0 (since it is rented)

Close = Yes(1)

Salary = $60,000

Catalogs = 12

Therefore;

the mean amount spent by Amy is by using the regression model is  ;

[tex]\hat{amount} \ \hat{ spent} = -91.67 - (229.47* 0)-(604.90 * 1) +(0.02216 * 60000) + (42.62 * 12)[/tex]

[tex]\hat{amount} \ \hat{ spent} = -91.67 -0-604.90 +1329.6 + 511.44[/tex]

[tex]\hat{amount} \ \hat{ spent} =1144.47[/tex]

Thus;  the expected amount spent by Amy is $1144.47

(c)

If Brenda has the same characteristics as Amy but does not live close to store with similar merchandise.

Then the Close for Brenda will be = No (0)

Thus; the amount spent by Brenda will be:

[tex]\hat{amount} \ \hat{ spent} = -91.67 - (229.47* 0)-(604.90 * 0) +(0.02216 * 60000) + (42.62 * 12)[/tex]

[tex]\hat{amount} \ \hat{ spent} = -91.67 -0-0 +1329.6 + 511.44[/tex]

[tex]\hat{amount} \ \hat{ spent} = 1749.37[/tex]

Thus, the expected amount that Brenda is going to spend is $1749.37

Answer: 14

Step-by-step explanation:

Answer:

5 boxes of diaries

6 boxes of pencils

10 boxes of rulers

Step-by-step explanation:

In order to find the smallest number of units that would be possible to buy, find the least common multiple between the number of units in each box:

[tex]12\ \ 10\ \ 6\ |2\\6\ \ \ \ 5\ \ \ 3\ |2\\3\ \ \ \ 5\ \ \ 3\ |3\\1\ \ \ \ 5\ \ \ 1\ |5\\1\ \ \ \ 1\ \ \ 1\ | = 2*2*3*5=60[/tex]

The number of boxes required for each item to get 60 units is:

[tex]d=\frac{60}{12} = 5\ boxes \\p=\frac{60}{10} = 6\ boxes \\r=\frac{60}{6} = 10\ boxes[/tex]

the smallest number of boxes of each item he could buy is:

5 boxes of diaries

6 boxes of pencils

10 boxes of rulers

the problaty of getting Gray tile is 6 time

Answer: 6/14 or 3/7

Step-by-step explanation:

There are a total of 14 employees hired so it would like like this: 1/14 if you were to chose one of all 6 women and 8 men hired.

There are 6 women that may be chosen out of all 14 employees of which 8 are men, now what this would look like is : 6?14 or simplified, (3/7).

This means there is a 6/14 chance of choosing a woman instead of a man in these 14 hired employees. just because the question asks, "what is the chance of a woman getting chosen", of the other 5 women and 8 men hired, so the answer is 6/14 or 3/7 to chosen as a women instead of men in all the 14 employees that may/might be chosen. hope this helps love yawl!!

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Answer:

hi your question options is not available but attached to the answer is a complete question with the question options that you seek answer to

Answer:  v = 5v + 4u + 1.5sin(3t),

Step-by-step explanation:

u" - 5u' - 4u = 1.5sin(3t)        where u'(1) = 2.5   u(1) = 1

v represents the "velocity function"   i.e   v = u'(t)

As v = u'(t)

u' = v

since u' = v

v' = u"

v'  = 5u' + 4u + 1.5sin(3t)   ( given that u" - 5u' - 4u = 1.5sin(3t) )

    = 5v + 4u + 1.5sin(3t)  ( noting that v = u' )

so v' = 5v + 4u + 1.5sin(3t)

d/dt [tex]\left[\begin{array}{ccc}u&\\v&\\\end{array}\right][/tex]= [tex]\left[\begin{array}{ccc}0&1&\\4&5&\\\end{array}\right][/tex]  [tex]\left[\begin{array}{ccc}u&\\v&\\\end{array}\right][/tex] + [tex]\left[\begin{array}{ccc}0&\\1.5sin(3t)&\\\end{array}\right][/tex]

Given that u(1) = 1 and u'(1) = 2.5

since v = u'

v(1) = 2.5

note: the initial value for the vector valued function is given as

[tex]\left[\begin{array}{ccc}u(1)&\\v(1)\\\end{array}\right][/tex]  = [tex]\left[\begin{array}{ccc}1\\2.5\\\end{array}\right][/tex]

Answer:

[tex]t=\frac{10345-10460}{\frac{1540}{\sqrt{900}}}=-2.24[/tex]    

The degrees of freedom are given by:

[tex]df=n-1=900-1=899[/tex]  

The p value for this case would be given by:

[tex]p_v =2*P(t_{(899)}<-2.24)=0.0127[/tex]  

The p value is low and if we use a significance level of 0.05 we can reject the null hypothesis and we can conclude tha the true mean is different from 10460

Step-by-step explanation:

Information given

[tex]\bar X=10345[/tex] represent the mean height for the sample  

[tex]s=1540[/tex] represent the sample standard deviation for the sample  

[tex]n=900[/tex] sample size  

[tex]\mu_o =10460[/tex] represent the value to verify

t would represent the statistic

[tex]p_v[/tex] represent the p value for the test

Hypothesis to test

We want to verify if the true mean is equal to 10460, the system of hypothesis would be:  

Null hypothesis:[tex]\mu = 10460[/tex]  

Alternative hypothesis:[tex]\mu \neq 10460[/tex]  

The statistic is given by:

[tex]t=\frac{\bar X-\mu_o}{\frac{s}{\sqrt{n}}}[/tex]  (1)  

Replacing the info given we got:

[tex]t=\frac{10345-10460}{\frac{1540}{\sqrt{900}}}=-2.24[/tex]    

The degrees of freedom are given by:

[tex]df=n-1=900-1=899[/tex]  

The p value for this case would be given by:

[tex]p_v =2*P(t_{(899)}<-2.24)=0.0127[/tex]  

The p value is low and if we use a significance level of 0.05 we can reject the null hypothesis and we can conclude tha the true mean is different from 10460

Answer:

Step-by-step explanation:

[tex]\sqrt{(5-1)^{2} +(10-7)^{2}\\\\\sqrt{4^{2} + 3^{2} \\\\\sqrt{16+9} = \sqrt{25} = 5[/tex]

Answer:

  21,504

Step-by-step explanation:

This is the usual method multiplication is done "by hand."

  6 × 3584 = 6 × (3000 +500 +80 +4)

  = 6×3000 +6×500 +6×80 +6×4

  = 18000 +3000 +480 +24

  = 21000 +504

  = 21,504

_____

Many of us are taught in grade school to do the multiplication right to left:

  = 6×4 +6×80 +6×500 +6×3000

... writing down the digit corresponding to the place value of the product, and "carrying" any more significant digits to add to the next product.

Here, that looks like 6×4 = 24, write down 4, carry 2. 6×8 = 48, add 2 to get 50, write down 0, carry 5. 6×5 = 30, add 5 to get 35, write down 5, carry 3. 6×3 = 18, add 3 to get 21, write down 21. Then the product is 21504.

__

When doing mental calculation, or using an abacus or soroban, it often works better to do the multiplication left to right, as shown in the answer above.

Answer:

[tex] 16C5= \frac{16!}{5! (16-5)!}= \frac{16!}{5! 11!}= \frac{16*15*14*13*12*11!}{5! 11!}[/tex]

If we simplify we got:

[tex] 16C5 = \frac{16*15*14*13*12}{5*4*3*2*1}=4368[/tex]

And the best option would be:

4368

Step-by-step explanation:

For this case we have a total of 16 IT specialists and we want to select 5 IT specialists from the total of 16 so we can use the combination formula given by:

[tex] nC x= \frac{n!}{x! (n-x)!}[/tex]

And replacing we got:

[tex] 16C5= \frac{16!}{5! (16-5)!}= \frac{16!}{5! 11!}= \frac{16*15*14*13*12*11!}{5! 11!}[/tex]

If we simplify we got:

[tex] 16C5 = \frac{16*15*14*13*12}{5*4*3*2*1}=4368[/tex]

And the best option would be:

4368

Answer:

28

Step-by-step explanation:

operating loss is loss when value of operating loss is more than gross profit.

In the given problem

cost: 284

price : 299

profit = 299 - 284 = 15

but given that there is operating expense as well.

operating expenses = 43

as expense is greater than profit there is loss which is called operating loss.

operating loss = operating expense - profit = 43 - 15 = 28

Thus, operating loss is 28.

Answer:

6^-2

6^3/6^5

6^-9 *6^ 7

Step-by-step explanation:

We want the fractions equal to 1/36

We know that a^-b = 1/a^b

We also know that a^b / a^c = a^(b-c)

We also know that a^b * a^c = a^(b+c)

3^ -6 = 1/3^6 = 1/729

6^-2 = 1/6^2 = 1/36

6^3/6^5 = 6^(3-5) = 6^-2 = 1/6^2 = 1/36

6^2 / 6^-1 = 6^(2- -1) = 6^3 = 216

6*6^-2 = 6^(1-2) = 6^-1 = 1/6

6^-9 *6^ 7 = 6^(-9+7) = 6^ -2 = 1/6^2 = 1/36

Answer:

B C and F

Step-by-step explanation:

Answer:

$607.57

Step-by-step explanation:

Answer:

I had $10

I have $150

Step-by-step explanation:

This is a riddle and not a math question

So

The answer to the question how much I had is:

The answer to the question how much I have is:

Here we need to perform an addition of several numbers.

We will find that the total amount of money that you have is $150.

We know that:

You had $5.00

Your mom gave you $10.00

Your dad gave you $30.00

Your aunt and uncle gave you $100.00

You had another $5.00

Now you want to find how much money do you have, so you just need to add these numbers.

We can add it as:

$5 + $10 + $30 + $100 + $5

We can perform the addition in any order we want, for example:

($5 + $5) + $10 + $30 + $100

$10 + $10 + $30 + $100

($10 + $10) + $30 + $100

$20 + $30 + $100

($20 + $30) + $100

$50 + $100 = $150

You have $150.

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Answer:

b. (-8, -2)

Step-by-step explanation:

Reflection across the x-axis

(x, y) ---> (x, -y)

B'(- 8, 2) ---> B( - 8, -2)

The coordinates of the pre image of B is (-8,-2) by studying the given graph.

The given figure ABCD is reflected across the x-axis to create the figure A'B'C'D'.

By referring the graph we can say that the coordinate of B' is (-8,2)

The reflected point will have y coordinate's sign changed as the figure is reflected across x-axis.

Thus the pre image of B' will be (-8,-2)

Hence the coordinates of the pre image of B' is (-8,-2)

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Answer:

13.44% probabilith that at most 3 are in excellent health.

Step-by-step explanation:

For each adult, there are only two possible outcomes. Either they are in excellent health, or they are not. The probability of an adult being in excellent health is independent of other adults. So we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

And p is the probability of X happening.

43% of adults questioned reported that their health was excellent.

This means that [tex]p = 0.43[/tex]

13 adults randomly selected

This means that [tex]n = 13[/tex]

Find the probability that when 13 adults are randomly selected, at most 3 are in excellent health.

[tex]P(X \leq 3) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3)[/tex]

In which:

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 0) = C_{13,0}.(0.42)^{0}.(0.58)^{13} = 0.0008[/tex]

[tex]P(X = 1) = C_{13,1}.(0.42)^{1}.(0.58)^{12} = 0.0079[/tex]

[tex]P(X = 2) = C_{13,2}.(0.42)^{2}.(0.58)^{11} = 0.0344[/tex]

[tex]P(X = 3) = C_{13,3}.(0.42)^{3}.(0.58)^{10} = 0.0913[/tex]

[tex]P(X \leq 3) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) = 0.0008 + 0.0079 + 0.0344 + 0.0913 = 0.1344[/tex]

13.44% probabilith that at most 3 are in excellent health.

Answer:

27

Step-by-step explanation:

Any positive integer to 3rd power will have positive answer.

Odd functions with number next to x^3 that is positive are increasing from left to right and thay also have a rotational symmetry with respect to the origin.Whe you put this together it's clear that the answer is 27

Answer:

x ≥ -1

Step-by-step explanation:

Divide everything by 7 to isolate x and you have your answer!

Answer:

x ≥ –1

Step-by-step explanation:

7x ≥ –7

Divide by 7

7x /7≥ –7/7

x ≥ –1

Answer:

(A)He only accepts jobs that last 4 or more hours.

Step-by-step explanation:

Deepak charges $30 for each job plus an additional $15 for each hour he works.

Let the number of hours =x

Deepak's Total Income for x hours =30+15x

Since he only accepts jobs if he will earn at least $90 the job.

[tex]\text{Total Income}\geq 90[/tex]

[tex]30+15x\geq 90[/tex]

We then solve the inequality for x

[tex]30+15x\geq 90\\$Subtract 30 from both sides\\30-30+15x\geq 90-30\\15x\geq 60\\$Divide both sides by 15\\15x\div 15\geq 60 \div 15\\x\geq 4[/tex]

We therefore conclude that Deepak only accepts jobs that last 4 or more hours.

The correct option is A.

Answer:

A) He only accepts jobs that last 4 or more hours.

Step-by-step explanation:

Correct me if i'm wrong sorry if i am :)

Answer:

7.61

Step-by-step explanation:

Sum all of the values

2.22+2.97+2.42=7.61

Answer:

761

Step-by-step explanation: