The employees of a firm that manufactures insulation are being tested for indications of asbestos in their lungs. The firm is requested to send three employees who have positive indications of asbestos to a medical center for further testing. If 30% of the employees have positive indications of asbestos in their lungs, find the probability that eleven employees must be tested in order to find three positives. (Round your answer to three decimal places.)

Answer:

Answer is 12x+4. Hope that helped.

Answer:

In step by step explanation

Step-by-step explanation:

a) Normal distribution N( 0, 1 )

If the sample size is equal n = 16 we have to use t-student distribution since     n < 30.

In the case n = 36 we should use normal distribution (z tables)

b) We can´t use the  standard normal distribution to calculate the probability that the sample mean falls between 66 and 68 in the first case n < 30 .

We can calculate that  probability in the case of the second sample

Answer:

1

Step-by-step explanation:

3/4 + 1/4 since they both have a 4 as the denominator you only have to add the top since they made it easy. and since that would be 4/4 your answer would be 1 whole.

Answer:

1. 2(x + y) = 180

2. His sandbox needs to be 8 ft wide.

Answer:

0.82

Step-by-step explanation:

We are given;

P(households own a pet) = 68% = 0.68

P(have trouble paying their energy bills) = 31% = 0.31

P(households own a pet & have trouble paying energy bills) = 17% = 0.17

Now, to find the probability that a household either owns a pet or having trouble paying energy bills is gotten by the relationship;

P(households own a pet or have trouble paying energy bills) = P(households own a pet) + P(have trouble paying their energy bills) - P(households own a pet & have trouble paying energy bills)

This gives;

P(households own a pet or have trouble paying energy bills) = 0.68 + 0.31 - 0.17 = 0.82

Answer:

4.05 is greater than 0.45

Answer:

90

Step-by-step explanation:

1350 divided by 15

Answer:

There's no evidence to show that the recent experience suggests a decline in spending.

Step-by-step explanation:

We are given;

Population mean; μ = $2.5

Population Standard deviation; σ = $0.9

Sample mean; x¯ = $2.1

Sample size; n = 18

Significance level; α = 0.01

Let's define the hypothesis;

Null hypothesis; H0: μ ≥ $2.5

Alternative hypothesis; Ha: μ < $2.5

z-score formula is;

z = (x¯ - μ)/(σ/√n)

z = (2.1 - 2.5)/(0.9/√18)

z = -0.4/0.2121

z = -1.886

Using the p-value from z-score calculator attached and using z = -1.886; α = 0.01; one tail; we have;

P-value = 0.2965

This is more than the significance level. Thus, we will fail to reject the null hypothesis and conclude that there is no evidence to show that the recent experience suggests a decline in spending.

We're given two pairs of congruent sides, and a pair of congruent angles. The angles are not between the two congruent sides. So we don't have enough information to know if the triangles are congruent or not. SSA is not a valid congruence theorem. This is because there are some cases where two triangles are possible leading to ambiguity.

If the marked angles were between the tickmarked sides, then we could use SAS.

Answer:

Consider Jasper’s balance sheet.

What is the total value of Jasper’s assets?

✔ $15,800

What is the total value of Jasper’s liabilities?

✔ $4,400

Step-by-step explanation:

The total value of Jaspers assets is $15,800 and  the total value of Jaspers liabilities is $4,400.

Anything that will or now has economic worth to a company is considered an asset. Assets are essentially anything that a firm controls and owns that is currently valuable or has the potential to be profitable in the future.

A balance sheet is a financial statement that lists the assets and liabilities of a corporation at a certain point in time. It is one of the three primary financial statements—the other two being the income statement and cash flow statement—that are used to assess a company's performance.

The three forms of balance sheets are: Comparative balance sheets, Vertical balance sheets and Horizontal balance sheets.

Therefore, Value of assets is $15,800 and value of liabilities is $4,400.

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Answer:

Correct option: F.

Step-by-step explanation:

The slope of a line

Suppose we know the line passes through points A(x1,y1) and B(x2,y2). The slope can be calculated with the equation:

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

To show the slope of PR is equal to the slope of RT, we'll use the extreme points of each segment.

For PR, use P=(-7,7) R=(-4,3). Now calculate the slope

[tex]\displaystyle m=\frac{3-7}{-4-(-7)}[/tex]

For RT, use R=(-4,3) (2,-5). Calculate the second slope:

[tex]\displaystyle m=\frac{-5-3}{2-(-4)}[/tex]

If both slopes are equal, then:

[tex]\displaystyle m=\frac{3-7}{-4-(-7)}=\frac{-5-3}{2-(-4)}[/tex]

Correct option: F.

Answer:

The null hypothesis                 [tex]H_o : \mu = 3.2 \ mg/dl[/tex]

The alternative hypothesis      [tex]H_a : \mu > 3.2 \ mg/dl[/tex]

Step-by-step explanation:

From the question we are told that

  The mean is  [tex]\mu = 3.2 \ mg/dl[/tex]

   The standard deviation is [tex]\sigma = 1.5 mg/dl[/tex]

   The sample size is  n = 25

    The sample mean is  [tex]\= x = 3.75 \ mg /dl[/tex]

Generally

   The null hypothesis is : That the mean of the  Arsenic blood concentrations in healthy individuals is [tex]\mu = 3.2 \ mg/dl[/tex]

i.e

The null hypothesis  [tex]H_o : \mu = 3.2 \ mg/dl[/tex]

    The alternative hypothesis is : That the mean of the  Arsenic blood concentrations in healthy individuals is greater than  [tex]\mu = 3.2 \ mg/dl[/tex]

The alternative hypothesis      [tex]H_a : \mu > 3.2 \ mg/dl[/tex]

Answer:

Joe scored higher by 1600

Step-by-step explanation:

Given

[tex]Simon = 4 * 10^2[/tex]

[tex]Joe = 2 * 10^3[/tex]

Solving (a): Which is higher?

First, we need to convert both numbers to whole numbers

[tex]Simon = 4 * 100[/tex]

[tex]Simon = 400[/tex]

[tex]Joe = 2 * 10^3[/tex]

[tex]Joe = 2 * 1000[/tex]

[tex]Joe = 2000[/tex]

2000 is greater than 400;

Hence, Joe score higher

Solving (b): By how much?

We simply calculate the difference

[tex]Difference = Joe - Simon[/tex]

[tex]Difference = 2000 - 400[/tex]

[tex]Difference = 1600[/tex]

Answer:

The equation in standard form:

2x-y-10=0

Answer:

v=2(x - 1)(x-6)=2(x²-6x-x+6)=12x²-12x-2x+12

v = 12x²-14x+12  standard form

Step-by-step explanation:

Given :-

ΔBCD ≅ ΔGEF

Then :-

∠B <=> ∠G ( ∠B = ∠G )

∠C <=> ∠E ( ∠C = ∠E )

∠D <=> ∠F ( ∠ D = ∠F )

BC <=> GE ( BC = GE )

CD <=> EF ( CD = EF )

BD <=> GF ( BD = GF )

Using this let us find CD .

CD = EF

Which means :-

[tex] 3x + 8 = 4x + 6[/tex]

[tex]8 = 4x + 6 - 3x[/tex]

[tex]8 = 1x + 6[/tex]

[tex]1x + 6= 8[/tex]

[tex]1x = 8 - 6[/tex]

[tex]1x = 2[/tex]

[tex]x = 2[/tex]

Then :-

EF =

[tex]EF = 4x + 6 \\ = 4 \times 2 + 6 \\ = 8 + 6 \\ = 14[/tex]

CD =

[tex]CD = 3x + 8 \\ = 3 \times 2 + 8 \\ = 6 + 8 \\ = 14[/tex]

△BCD≅△GEF

The measure of CD is 14

Given :

Two triangles are congruent

△BCD≅△GEF

When triangles are congruent then the sides are equal

[tex]BC=GE\\CD=EF\\DB=FG\\[/tex]

Given that CD=3x+8 and EF=4x+6

[tex]CD=EF\\3x+8=4x+6\\3x+8-3x=4x-3x+6\\8=x+6\\8-6=x+6-6\\x=2[/tex]

The value of x=2

Now we find measure of CD

[tex]CD=3x+8\\CD=3(2)+8\\CD=14[/tex]

The measure of CD is 14

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Answer:

answer                B

Step-by-step explanation:

just got it right on the test.

Answer:

the answer is B, Maria listed factors of each number instead of multiples.

Step-by-step explanation:

Answer: 38.3

Step-by-step explanation:

1.7 × 4 = 6.8

45.1 - 6.8 = 38.3

Answer:

The answer is below

Step-by-step explanation:

The height of tank = 12 m = 1200 cm, the diameter of the tank = 8 meters, hence the radius of the tank = 8/2 = 4 m = 400 cm

Let h represent the water level = 8 m = 800 cm. The radius (r) of the water level at a height of 8 m is:

r/h = radius of tank/ height of tank

r/h = 400/1200

r = h/3

[tex]\frac{change\ in\ volume}{change\ in \ time}=water\ in-water\ out\\ \\\frac{dV}{dt=} water\ in-water\ out\\\\V=\frac{1}{3}\pi r^2h\\ \\r=\frac{1}{3}h \\\\V=\frac{1}{3}\pi (\frac{1}{3}h )^2h\\\\V=\frac{1}{9} \pi h^3\\\\\frac{dV}{dt} =\frac{1}{3} \pi h^2\frac{dh}{dt}\\\\\frac{dh}{dt}=2\ cm/min,h=8\ m=800\ cm\\\\[/tex]

[tex]\frac{dV}{dt} =\frac{1}{3} \pi (800)^2(2)=426666.7\ cm^3/min\\\\\frac{dV}{dt=} water\ in-water\ out\\\\426666.7\ cm^3/min= water\ in-water\ out\\\\426666.7\ cm^3/min= water\ in-20000\ cm/min\\ \\water\ in=426666.7\ cm^3/min+20000\ cm/min\\\\water\ in=446666.7 \ cm^3/min[/tex]

Answer:

[tex]y=-2^{(x+2)}+1[/tex]

Step-by-step explanation:

Equation of the parent function of the graph attached is,

y = [tex]2^{x}[/tex]

Let the equation of the transformed function function shown in the graph be,

y = a(2ˣ) + b

Now we will find the values of a and b by substituting the points lying on the curve.

For (-2, 0),

0 = a(2⁻²) + b

[tex]\frac{a}{4}+b=0[/tex] ------(1)

For (0, -3),

-3 = a(2⁰) + b

a + b = -3 --------(2)

Subtract equation (1) from equation (2),

(a + b) - ([tex]\frac{a}{4}+b[/tex]) = 0 + 3

[tex]\frac{3a}{4}=3[/tex]

a = -4

From equation (2),

-4 + b = -3

b = 1

Therefore, equation of the transformed function will be,

[tex]y=-4(2^x)+1[/tex]

[tex]y=-2^{2}(2^x)+1[/tex]

[tex]y=-2^{(x+2)}+1[/tex]

Graph transformation is the process by which an existing graph is modified to produce a variation of the proceeding graph.

Equation of transformed graph is, [tex]y=-2^{x+2}+1[/tex]

Here,  equation of original graph is given, [tex]y=2^{x}[/tex]

Let us consider, equation of transformed graph is,  [tex]y=m(2^{x} )+n[/tex]

Since, given graph passing through points (-2,0) and (0,-3)

Substituting above points into equation.

We get two equation,

                                      m +4n = 0

                                     m + n = -3

After solving, we get   m= -4 and  n = 1

So, equation becomes  [tex]y=-2^{x+2}+1[/tex]

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Answer:$15 = 100 x rate x (2/52)

The 2/52 represents 2 weeks out of 52 weeks in a year

So 15/100 = rate x (2/52)

.15 = rate x (2/52)

If you divide by (2/52) on both sides, you get: 3.9 = rate

Don't be fooled by this answer, because it is not in percent form. In order to get it into percent form you need to multiply by 100. So the percent of interest paid on the loan is 390%.

In a lot of these problems you can predict around the percentage before you even do the problem. In this problem, you can tell that the percentage is going to be high because the loan has accrued $15 interest in just two weeks (15% in just two weeks!)

So if there is 15% interest in two weeks, you know it is going to be a very high annual percentage.

I am very confident that this is the answer, if you can check the answer with your online homework I would do so and send me a message to let me know. Also, if you need more clarification I am happy to message you more without a charge. Let me know!!$15 = 100 x rate x (2/52)

The 2/52 represents 2 weeks out of 52 weeks in a year

So 15/100 = rate x (2/52)

.15 = rate x (2/52)

If you divide by (2/52) on both sides, you get: 3.9 = rate

Don't be fooled by this answer, because it is not in percent form. In order to get it into percent form you need to multiply by 100. So the percent of interest paid on the loan is 390%.

In a lot of these problems you can predict around the percentage before you even do the problem. In this problem, you can tell that the percentage is going to be high because the loan has accrued $15 interest in just two weeks (15% in just two weeks!)

So if there is 15% interest in two weeks, you know it is going to be a very high annual percentage.

I am very confident that this is the answer, if you can check the answer with your online homework I would do so and send me a message to let me know. Also, if you need more clarification I am happy to message you more without a charge. Let me know!!

Step-by-step explanation:

Answer:

-3 = -12

Step-by-step explanation:

Have a great day

I hope that is the answer you are looking for :)

Answer: 43 should be divided into 0.37 to find “x”.

Step-by-step explanation:

The provided arithmetic sequence adds up to 60.

The difference between every two successive terms in an arithmetic series is always the same. The number "a" is the first term, and "d" is the common difference between the sequence. The nth term of an arithmetic sequence is given by. aₙ = a + (n – 1)d

Given an arithmetic sequence 12, 14,16,18

The general formula for the Sum of arithmetic sequence:

Sn = n/2 [2a+(n−1)d]

where: n = the number of terms to be added.

a = the first term in the sequence.

d = the constant value between terms.

In our case,

a = 12

n = 4

and d = 14 - 12 = 2

thus

Sum = 4/2(2*12 + (4- 1 )2)

Sum = 2( 24 + 6)

Sum = 60

therefore, the Sum of the given Arithmetic sequence is 60.

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Answer:

195 tickets

Step-by-step explanation:

If the dance teacher spent the whole budget, then that means you can just divide the budget by the cost of tickets:

5,460 / 28, which is 195 tickets.

Answer:

33.

Step-by-step explanation:

I assume that the 2 triangles are similar.

x/77 = 24/56

56x = 77*24

x = (77*24(/56

x = 33.

Answer:

16-22

Step-by-step explanation:

Answer:

i agree with the other person

Step-by-step explanation: