whats -4 (x - 5) = 40

Step-by-step explanation:

ok done but it will be wrong

Percentage of data within 2 population standard deviations of the mean is 68%.

To calculate the percentage of data within two population standard deviations of the mean, we need to first find the mean and standard deviation of the data set.

The mean can be found by summing all the values and dividing by the total number of values:

Mean = (20*2 + 22*8 + 28*9 + 34*13 + 38*16 + 39*11 + 41*7 + 48*0)/(2+8+9+13+16+11+7) = 32.68

To calculate standard deviation, we need to calculate the variance first. Variance is the average of the squared differences from the mean.

Variance = [(20-32.68)^2*2 + (22-32.68)^2*8 + (28-32.68)^2*9 + (34-32.68)^2*13 + (38-32.68)^2*16 + (39-32.68)^2*11 + (41-32.68)^2*7]/(2+8+9+13+16+11+7-1) = 139.98

Standard Deviation = sqrt(139.98) = 11.83

Now we can calculate the range within two population standard deviations of the mean. Two population standard deviations of the mean can be found by multiplying the standard deviation by 2.

Range = 2*11.83 = 23.66

The minimum value within two population standard deviations of the mean can be found by subtracting the range from the mean and the maximum value can be found by adding the range to the mean:

Minimum Value = 32.68 - 23.66 = 9.02 Maximum Value = 32.68 + 23.66 = 56.34

Now we can count the number of data points within this range, which are 45 out of 66 data points. To find the percentage, we divide 45 by 66 and multiply by 100:

Percentage of data within 2 population standard deviations of the mean = (45/66)*100 = 68% (rounded to the nearest percent).

Therefore, approximately 68% of the data falls within two population standard deviations of the mean.

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Answer:

I have graphed it and attached in the explanation.

Step-by-step explanation:

Answer:

1st- #3 spinned about 21 times

Step-by-step explanation:

The resulting atom when a nuclide of superscript 64 subscript 29 upper c u. absorbs a positron is; Superscript 64 subscript 30 upper Z n.

A positron is the anti-particle of a beta particle and it is emitted by a proton-rich nucleus.

Now, the collision of an electron and a positron yields two 0.511 MeV gamma rays because Positron gamma radiation can penetrate through inches of very hard material.

Thus, the resulting atom when a nuclide of superscript 64 subscript 29 upper c u. absorbs a positron is; Superscript 64 subscript 30 upper Z n.

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The total cost of the principal and interest after 30 years is $788,489.94 (approx). The correct option is D. $788,489.94.

Here, Principal = $315,000

Interest rate = 7.35%

Term of mortgage = 30 years

Total cost of the principal and interest can be found using the formula; T = (P x (r/n) x (1 + r/n)(n x t))/(1 + r/n)(n x t) - 1

Where, T = Total cost of the principal and interest

P = Principal

r = Rate of interest per annum

n = Number of payments per year

T = Term of the mortgage

In this question, P = $315,000

r = 7.35%/yr = 0.0735/y

rn = 12/yr (12 monthly payments in a year)

t = 30 years

Substituting all the values in the formula, T = ($315,000 x (0.0735/12) x (1 + 0.0735/12)(12 x 30))/(1 + 0.0735/12)(12 x 30) - 1≈ $788,489.94

Hence, D is the correct option.

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Answer: 1/50

Step-by-step explanation:

Step 1: We need to multiply the numerator and denominator by 100 since there are 2 digits after the decimal.

0.02 = (0.02 × 100) / 100

= 2 / 100 [ since 0.02 × 100 = 2 ]

Step 2: Reduce the obtained fraction to the lowest term

Since 2 is the common factor of 2 and 100 so we divide both the numerator and denominator by 2.

2/100 = (2 ÷ 2) / (100 ÷ 2) = 1/50

4X + 8 9X+3 (this is the equation, nothing to explain in this step)

4x + 5 = 9x (you combine or subtract the like terms, 8 - 3 = 5)

5 = 5x (you do 9x - 4x = 5x, subtracting the like terms)

1 = X (your answer after dividing 5 from both sides)

The probability of having the disease given that the person tests positive twice depends on the prevalence of the disease and the accuracy of the test.

Assuming that a person is tested twice and the results are independent of each other, we can calculate the probability of having the disease given that the person tests positive twice. Let's say the probability of testing positive given that the person has the disease is p, and the probability of testing negative given that the person does not have the disease is q. Also, let's assume that the prevalence of the disease in the population is r.

The probability of testing positive twice given that the person has the disease is p^2. The probability of testing positive twice given that the person does not have the disease is (1-r)^2q^2. The probability of testing positive twice is the sum of these probabilities, which is p^2 + (1-r)^2q^2.

Now we can use Bayes' theorem to calculate the probability of having the disease given that the person tests positive twice. The formula is P(D|++) = P(++|D)P(D) / P(++), where P(D|++) is the probability of having the disease given that the person tests positive twice, P(++|D) is the probability of testing positive twice given that the person has the disease (p^2), P(D) is the prevalence of the disease (r), and P(++) is the probability of testing positive twice (p^2 + (1-r)^2q^2).

Substituting the values, we get P(D|++) = p^2*r / (p^2*r + (1-r)^2q^2). Therefore, the probability of having the disease given that the person tests positive twice depends on the prevalence of the disease and the accuracy of the test. If the prevalence of the disease is high and the test is accurate, then the probability of having the disease given a positive result is also high.

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The rectangle's area decreased by 19%.

Length = L

Breadth = B

Original area = L x B

New area = A = L x (1 + 25%) x B x (1 - 25%)

A = L x B x 0.25 x 0.75 = L x B x 1.05

Therefore the area of the rectangle has decreased by 19%.

To find the location of a rectangle, multiply its width by means of its height. If we understand the sides of the rectangle which are different lengths, then we have each the height and the width.

The perimeter P of a rectangle is given through the system, P=2l+2w, wherein l is the period and w is the width of the rectangle. The area A of a rectangle is given by means of the method, A=lw, in which l is the duration and w is the width.

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The geometry of the softball is a sphere. Then the radius of the softball will be 1.91 inches.

It deals with the size of geometry, region, and density of the different forms both 2D and 3D.

A softball has a volume of about 29 cubic inches.

Then the radius of the softball will be

The geometry of the softball is a sphere.

Then the volume of the sphere is given as

\(\rm V = \dfrac{4}{3} \pi r^3\)

where r is the radius of the softball.

Then we have

\(\rm r^3 = \dfrac{3V}{ 4 \pi}\\\\r^3 = \dfrac{3 \times 29}{4 \times \pi}\\\\r^3 = \dfrac{87}{12.5664}\\\\r^3 = 6.9232\\\\r \ \ = \sqrt[3]{6.9232}\\\\r \ \ = 1.9059 \approx 1.91 \ in.\)

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a. The unemployment rate is 20%.

b. The labor-force participation rate is 60%.

According to the question,

Working age population- 100,000

Labour force - 60,000

Unemployed - 12000 instructions

a) The unemployment rate is the percentage of the labor force that is unemployed and it is calculated as follows:

Unemployment Rate = \(\frac{Number of unemployed People}{Labor force}\) × 100

When an unemployed population is 12,000 and the labor force is 60,000,

the unemployment rate is  = \(\frac{12000}{60000}\) × 100 = 20%

b) labor force participation rate is the percentage of working adult population that participates in labor either by actively looking for a job, or working. It is calculated as follows:

Labor Force Participation Rate = \(\frac{Labor force}{working age population}\) × 100

When the labor force is 60,000 and the working-age population is 100,000

Labor Force Participation Rate = \(\frac{60000}{100000}\) × 100 = 60%

So, a. The unemployment rate is 20%.

b. The labor-force participation rate is 60 %.

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Step-by-step explanation:

whw

where is the diagram?

Answer:

The selling price of the bag is $22.5

Step-by-step explanation:

Buying Price = $25,

Selling Price = ?

Since they sold it at a loss of 10%,

So, they sold it for a price 10% less than the buying price,

or at 90% or 0.9 of the buying price,

so,

Selling Price = (0.9)(25) = $22.5

The price per square foot of a vacant lot that measures 50' x 102' and sold for $108,250 is $21.23.

To find the price per square foot of the vacant lot, we need to divide the total price by the total area of the lot.

We can find the area of the lot by multiplying the length by the width:

Area = 50' x 102' = 5100 sq.ft

Then, we can divide the total price by the total area to find the price per square foot:

Price per sq.ft = Total Price / Total Area

Price per sq.ft = 108,250 / 5100

Price per sq.ft = 21.23

Therefore, the price per square foot of the vacant lot is $21.23.

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Answer:

what

Step-by-step explanation:

Answer:

3rd option

Step-by-step explanation:

__

PQ means the whole length of PQ, same goes to the others (QR and PR)

The first option means the angles P, Q and R

The second option means the points P, Q and R

Answer:

x = -1.7, or x = -17/10

Step-by-step explanation:

f(x) = 9.2 + 6x + 1 is a linear function and as such (and because the slope is not zero) has only one solution.  Combining like terms, we get

f(x) = 10.2 + 6x = 0 (you must set this equal to zero if solving for zero(s).

Then 6x = -10.2, and x = -1.7, or x = -17/10

Answer:

1: AAS, RQC 2: ASA, SRP

Step-by-step explanation:

(1) We are shown that two angles and one side are congruent in the order of AAS. Make sure you write the letters in terms of the corresponding angles. The angles and sides are congruent because the problem labels it for us. For example, B,A,C=R,Q,S. Answers: AAS, RQC.

(2) We are shown that two angles and one side are congruent in the order of ASA. Make sure you write the letters in terms of the corresponding angles again. For example, P,Q,R=P,S,R. The angles are congruent because the problem labels it for us. Side PR is congruent to side PR by reflexive property. Answers: ASA, SRP.

I hope this helped :) Good luck

Answer:

square pyramids

Step-by-step explanation:

Square pyramids because they have corners and the storage box is shaped like a cube. If he gets things with rounded edges, then there will be empty space between each water tank.

Answer:

x=8

Step-by-step explanation:

the addition of all the angles must equal 360(the 4 angles on the intersection) degrees

125+125=250

360-250=110

110/2=55

7*8-1=55

Answer:

Step-by-step explanation:

You have correctly counted the 6 sides of the figure. A 6-sided polygon is a hexagon.

__

The length of baseboard needed is the length of the perimeter of the figure. That length is the sum of the side lengths. Starting from the lower left corner and working clockwise, the side lengths are ...

  1 ft + 5 ft + 2 ft + 1 ft + 5 ft + 10 ft = 24 ft

24 feet of baseboard are needed.

__

Additional comment

The area of the figure can be found several ways. One of them is to subtract the corner cutout area from the overall rectangle area. The overall rectangle is 10 ft wide and 4 ft high, for an area of (10 ft)(4 ft) = 40 ft². The upper left triangle cutout is 4 ft wide and 3 ft high, for an area of (1/2)(4 ft)(3 ft) = 6 ft². The upper right trapezoid cutout has bases of 1 ft and 4 ft, and a height of 4 ft, so its area is 1/2(1 ft +4 ft)(4 ft) = 10 ft².

Then the clubhouse area is 40 ft² -6 ft² -10 ft² = 24 ft².

Answer:

5,040 jumps

Step-by-step explanation:

Let's figure out the number of jumps per hour

42 steps/minute * 60 minutes/hour = 2,520 jumps/hour

Mary Beth is jumping for 2 hours, so we need to multiply by 2 hours.

2,520 jumps/hour * 2 hours = 5,040 jumps

Answer:

binomial

Step-by-step explanation:

Therefore, (0.101101101...)2 can be expressed as 1410 / 99 for the given binomial expansion.

The solution to the given question is as follows(a) To obtain the binomial expansion of (1 - x)-1 up to and including the term in x2, we use the following formula:

(1 + x)n = 1 + nx + n(n - 1) / 2! x2 + n(n - 1)(n - 2) / 3! x3 + ...The formula applies when n is a positive integer. When n is negative or fractional, we obtain a more general formula that applies to any value of n, such as(1 + x)n = 1 / (1 - x) n = 1 - nx + (n(n + 1) / 2!) x2 - (n(n + 1)(n + 2) / 3!) x3 + ...where the expansion is valid when |x| < 1.Substituting -x for x in the second formula gives us(1 - x)-1 = 1 + x + x2 + x3 + ...

The binomial expansion of (1 - x)-1 up to and including the term in x2 is therefore:1 + x + x2.To solve for (1 – x)(2 – 3x) in the form A + - X B 2-3x, we expand the expression (1 - x)(2 - 3x) = 2 - 5x + 3x2.

The required expression can be expressed as follows:A - BX 2-3x = A + BX (2 - 3x)Setting (2 - 3x) equal to 1, we get B = -1.Substituting 2 for x in the original equation gives us 3. Hence A - B(3) = 3, which implies A = 0.Thus, (1 – x)(2 – 3x) can be expressed in the form 0 + 1X(2 - 3x).

Therefore, (1 – x)(2 – 3x) in the form A + - X B 2-3x is equal to X - 6.(b) (i) To express 1 / 3 in terms of powers of 2, we proceed as follows:1 / 3 = 2k(0.a1a2a3...)2-1 = 2k a1. a2a3...where 0.a1a2a3... represents the binary expansion of 1 / 3, and k is an integer that can be determined as follows:2k > 1 / 3 > 2k+1

Dividing all sides of the above inequality by 2k+1, we get1 / 2 < (1 / 3) / 2k+1 < 1 / 4This implies that k = 1, and the binary expansion of 1 / 3 is therefore 0.01010101....Therefore, 1 / 3 can be expressed as a sum of a geometric series as follows:1 / 3 = (0.01010101...)2= (0.01)2 + (0.0001)2 + (0.000001)2 + ...= (1 / 4) + (1 / 16) + (1 / 256) + ...= 1 / 3(ii)

To convert (0.101101101...)2 to a rational number, we use the fact that any repeating binary expansion can be expressed as a rational number of the form p / q, where p is an integer and q is a positive integer with no factor of 2 or 5. Let x = (0.101101101...)2. Multiplying both sides by 8 gives8x = (101.101101101...)2. Subtracting x from 8x gives7x = (101.101)2. Multiplying both sides by 111 gives777x = 111(101.101)2= 11101.1101 - 111.01

Thus, x = (11101.1101 - 111.01) / 777= (10950.8 - 7) / 777= 10943.8 / 777= 1410 / 99 Therefore, (0.101101101...)2 can be expressed as 1410 / 99.

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Answer:

9 laps

Step-by-step explanation:

75% of something is the same as three-fourths, or multiplying by 0.75

12 x 0.75 = 9

or you can divide by 4 and then multiply by three if you know what to separate the original number into

12/4 = 3     3 x 3 = 9

While linear regression can be a useful tool for prediction, it is important to consider the quality of the data, assess the linearity assumption, and be cautious when extrapolating beyond the observed data range.

This is an example of using linear regression to predict the weight of a kitten at a specific time (10 weeks in this case) based on the given linear model ŷ = 1.7 + 1.48t.

Using linear regression to make predictions is a common practice and can provide reasonable estimates in many cases. However, whether it is considered a best practice for prediction depends on various factors. Here are a few considerations:

Data quality: The accuracy and reliability of the predictions heavily depend on the quality of the data used to build the linear model. If the data used for training the model is representative and accurately reflects the underlying relationship, the predictions are likely to be more reliable.

Linearity assumption: Linear regression assumes a linear relationship between the predictor variable (in this case, time) and the response variable (kitten weight). If the relationship is not truly linear, the predictions may be less accurate. It is important to assess the linearity assumption and consider alternative models if needed.

Extrapolation: When making predictions outside the range of the observed data (such as predicting the weight at 10 weeks when the data only goes up to 8 weeks), caution should be exercised. Extrapolating beyond the observed range can introduce more uncertainty and may lead to less accurate predictions.

In summary, while linear regression can be a useful tool for prediction, it is important to consider the quality of the data, assess the linearity assumption, and be cautious when extrapolating beyond the observed data range.

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Thus, the area of the region inside the polar curve r = 2cos(θ) is given by 2 [(b + (1/2)sin(2b)) - (a + (1/2)sin(2a))].

The area of the region inside the polar curve r = 2cos(θ) can be found using the formula for the area enclosed by a polar curve:

A = (1/2) ∫[a, b] (r(θ))^2 dθ

In this case, we have r(θ) = 2cos(θ). Therefore, substituting r(θ) into the formula, we get:

A = (1/2) ∫[a, b] (2cos(θ))^2 dθ

Simplifying further:

A = (1/2) ∫[a, b] 4cos^2(θ) dθ

Using the trigonometric identity cos^2(θ) = (1 + cos(2θ))/2, we can rewrite the integral:

A = (1/2) ∫[a, b] 4(1 + cos(2θ))/2 dθ

A = 2 ∫[a, b] (1 + cos(2θ)) dθ

Integrating term by term:

A = 2 [θ + (1/2)sin(2θ)] [a, b]

Evaluating the integral limits:

A = 2 [(b + (1/2)sin(2b)) - (a + (1/2)sin(2a))]

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An inequality to find the minimum number of hours, to the nearest hour, Shane worked on Saturday is 7.55h + 100 ≥ 160.

Shane earned $7.55 per hour plus an additional $100 in tips waiting tables on Saturday.

He earned at least $160 in all.

An inequality to find the minimum number of hours, to the nearest hour, Shane worked on Saturday is given below:

The inequality is:

7.55h + 100 ≥ 160 where 'h' is the number of hours worked on Saturday.

To find the number of hours Shane worked, solve the inequality: 7.55h + 100 ≥ 1607.55h ≥ 60h ≥ 60/7.55h ≥ 8

Therefore, Shane worked for at least 8 hours on Saturday.

This is the solution that we got after solving the inequality which was formed to find the minimum number of hours, to the nearest hour, Shane worked on Saturday.

The inequality is 7.55h + 100 ≥ 160.

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