Given the equation StartFraction 2 x + 2 Over y EndFraction = 4 w + 2 what is the value of x?
x = y w + y minus 1
x = 2 y w + y minus 1
x = 2 y w + y minus 2
x = 4 y w + 2 y minus 2

The value of the test statistic is  x² = 3.841.

Therefore option B is correct.

Expected frequency for "Health insurance" and "Men"

= (80 * 70) / 110= 50.909

Expected frequency for "Health insurance" and "Women"

= (30 * 70) / 110 =  19.091

Expected frequency for "No health insurance" and "Men"

= (80 * 40) / 110

= 29.091

Expected frequency for "No health insurance" and "Women"

= (30 * 40) / 110 =  10.909

We find the chi-square statistic

χ² = Σ [(O - E)² / E]

χ² = [(50 - 50.909)² / 50.909] + [(20 - 19.091)² / 19.091] + [(30 - 29.091)² / 29.091] + [(10 - 10.909)² / 10.909]

= (0.081² / 50.909) + (0.909² / 19.091) + (0.909² / 29.091) + (0.081² / 10.909)

=  0.00131 + 0.04537 + 0.02784 + 0.00604

= 0.08056

We find  the critical value for a 0.05 significance level and 1 degree of freedom = 3.841.

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complete question:

A survey conducted in a small business yielded the results shown in the table. Test the claim that health care coverage is independent of gender. Use a 0.05 significance level. What is the value of the test statistic?

                                    Men          Women

Health insurance           50              20

No health insurance      30               10

OA. x^2=0.1637

OB. x^2=8.263

OC. x^2 =3.841

OD. x^2 =5.821

In multiple regression analysis, A multiple regression model has more than one independent variable.(option c)

In multiple regression, the goal is to analyze the relationship between a dependent variable and multiple independent variables. The model uses these independent variables to predict or explain the variation in the dependent variable.

Therefore, it is characterized by having more than one independent variable. The number of dependent variables remains one in multiple regression.

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Answer:

1/16

Step-by-step explanation:

½ ton ==> 8 sq. yards

so, each sq. yard needs ½ ÷ 8 = 1/16 ton

Using the exponential distribution formula:

(a) P(X < 25) =0.3935, P(X > 15) = 0.2231 and P(15 < X < 25) = 0.1704

(b) The 40th percentile is 29.15 minutes

a) Using the exponential distribution formula:

P(X < 25) = 1 - \(e^{(-25/20)}\)= 0.3935

P(X > 15) = \(e^{(-15/20)}\) = 0.2231

P(15 < X < 25) = P(X < 25) - P(X < 15) = (1 - \(e^{(-25/20)}\)}) - (1 - \(e^{(-15/20)}\)) = 0.1704

b) The 40th percentile is the value x such that P(X < x) = 0.40. Using the exponential distribution formula:

0.40 = 1 - \(e^{(-x/20)}\)

Solving for x:

\(e^{(-x/20)}\)= 0.60

-x/20 = ln(0.60)

x = -20 ln(0.60) = 29.15

Therefore, the 40th percentile is 29.15 minutes.

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Answer: 462

Step-by-step explanation: substitute 72 for x in the equation 6(72)+30

Answer:

20

Step-by-step explanation:

(72-60):60*100 =

(72:60-1)*100 =

120-100 = 20

Hope this helps :)

Let x, y, and z be the number of calls Kira received during the first, second, and third day, respectively. Therefore, the equations are

Solve the system of equations as shown below

Use the value of x to find y and z,

When using simple linear regression, we would like to use confidence intervals for the mean y-value and prediction intervals for the individual y-value at a given value of x.

A regression line is a statistical line that best describes the behavior of a data set. This ultimately implies that, a regression line is a line which best fits a set of data.

A confidence interval can be defined as a range of estimated values that defines the probability that a population parameter would fall or lie within it.

In this context, we can infer and logically deduce that statisticians, mathematicians and researchers alike would use confidence intervals for the mean y-value and prediction intervals for the individual y-value at a given value of x, especially when using simple linear regression.

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The time study analyst should account for at least 55 observations in order to calculate the mean time per item with a 95.5% confidence level and a 0.4 minute margin of error.

We can use the sample size calculation formula in a confidence interval to get the number of observations required for a time study with the specified parameters:

\(n = (Z * \sigma / E)^2\)

Where:

n = sample size

Z = The target confidence level's Z-score (95.5% translates to roughly 1.96)

σ = procedure standard variation (1.5 minutes per piece)

E = margin of error (0.4 minutes)

Plugging in the values, we can calculate the sample size:

\(n = (1.96 * 1.5 / 0.4)^2\)

\(n = (2.94 / 0.4)^2\)

\(n = 7.35^2\)

n ≈ 54.02

We round up the sample size to the next whole number because we can't have a portion of an observation:

n = 55

Therefore, the time study analyst should prepare for at least 55 observations to estimate the mean time per item with a margin of error of 0.4 minutes and a confidence level of 95.5%.

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The value of x is -1/2 if the function f(x) (6x + 4)e^(-6x) has one critical number.

To find the critical number of the function f(x) = (6x + 4)e^(-6x), we need to find the value(s) of x where the derivative of f(x) is equal to zero or undefined.

Let's start by finding the derivative of f(x). We can use the product rule for differentiation:

f'(x) = [(6x + 4) * d(e^(-6x))/dx] + [e^(-6x) * d(6x + 4)/dx]

To differentiate e^(-6x), we use the chain rule, which states that d(e^u)/dx = e^u * du/dx:

d(e^(-6x))/dx = e^(-6x) * d(-6x)/dx = -6e^(-6x)

Differentiating 6x + 4 with respect to x gives us 6.

Substituting these values back into the derivative expression:

f'(x) = [(6x + 4) * (-6e^(-6x))] + [e^(-6x) * 6]

Simplifying:

f'(x) = -36x e^(-6x) - 24e^(-6x) + 6e^(-6x)

Now, let's find the critical number by setting the derivative equal to zero:

-36x e^(-6x) - 24e^(-6x) + 6e^(-6x) = 0

Combining like terms:

-36x e^(-6x) - 18e^(-6x) = 0

Factoring out e^(-6x):

e^(-6x)(-36x - 18) = 0

Now, we have two possibilities:

e^(-6x) = 0 (which is not possible since e^(-6x) is always positive).

-36x - 18 = 0

Solving this equation for x:

-36x = 18

x = 18/(-36)

x = -1/2

Therefore, the critical number of the function f(x) = (6x + 4)e^(-6x) is x = -1/2.

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Answer:

26,167 m

Step-by-step explanation:

Step 1: Find the other angle of the complementary set

90 - 17 = 73°

Step 2: Find the angle of elevation from the ship

180 - (73 + 90) = 17°

Step 3: Use tan∅ to find distance

tan17° = 8000/x

xtan17° = 8000

x = 8000/tan17°

x = 26166.8

Answer:

-5/6

Step-by-step explanation:

The formula for slope is [ y2-y1/x2-x1 ].

-1-4/4-(-2)

-5/6

Best of Luck!

Answer:

3/2 or 1.5 :) hope this helped

Step-by-step explanation:

4 - 1        3

-------  =  ---  =  1.5

4 - 2       2

Marilyn has $75 to spend on two Series EE savings bonds as graduation gifts. The face values of the bonds she can buy are $50, $75, and $100. Therefore, she could buy two $50 bonds.

Since Marilyn has $75 to spend and she needs to buy two bonds, the total face value of the bonds she can purchase must be equal to $75.

Let x be the face value of the first bond, then the face value of the second bond must be 75 - x.

The face values of the bonds are $50, $75, and $100, so we can set up the following three equations

x + (75 - x) = 75 (since the total face value must be $75)

x = 50 (since the face value must be $50, $75, or $100)

x = 100 (since the face value must be $50, $75, or $100)

Solving these equations, we find that the possible face values for each bond are $50 and $25, $75 and $0, or $100 and $-25 (which is not a valid option).

Therefore, Marilyn could buy two bonds with face values of $50 each, or one bond with a face value of $75 and the other with a face value of $0 (which essentially means she would only be buying one bond).

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Answer:

x^2 -144

Step-by-step explanation:

Answer:

30

Step-by-step explanation:

Answer:

30

Step-by-step explanation:delta math

The ratio of the number of mowers that fail to the overall number of mowers is known as the fraction of mowers that fail the functional performance test. Consequently, 9/500 lawnmowers fail, then the probability of having x failures in the next 100 mowers is = \(0.018x\)  

Probability of having x mower fail = 0.018x

Number of mowers that fail = 54

Total number of mowers = 3000

The probability of failure can be defined as,

=  \(\frac{Number of mowers that fail}{Total number of mowers}\)

Fraction that failed = \(\frac{54}{3000}\)

Fraction that failed = \(\frac{9}{500}\)

Fraction that failed = 0.018

Therefore,

The ratio of the number of mowers that fail to the overall number of mowers is known as the fraction of mowers that fail the functional performance test. Consequently, 9/500 lawnmowers fail, then the probability of having x failures in the next 100 mowers is = \(0.018x\)

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Answer:

9

Step-by-step explanation:

Answer:

the answer is D

Step-by-step explanation:

15 x 28

12 x 34

Answer:

Wrong its A

Step-by-step explanation:

Answer:

the first option

Step-by-step explanation:

the table does not have a constant rate of change so it is not linear.

105

x5.6

0630

+5250=

5880

Then add a decimal point

588.0

588

hope it helps!

Answer:

Step-by-step explanation:

First, let's define standard notation. Standard notation is just the normal way to write numbers. So multiply 5.6 x 105 and you get...

Answer:

200 feet of the ground at a thirty degrees angle does not make a difference .

u need to know whether it is the top or bottom of it, the kite

The probability of picking two blue marbles is 1/21.

Probability is used to determine how likely it is that a random event would occur. The probability of a random event happening lies between 0 and 1. If it is certain the event would happen, the probability value is 1 and if it is certain that the event would not happen, the probability value is 0.

Probability of picking two blue marbles = (number of blue marbles / total number of marbles) x (number of blue marbles -1 / total number of marbles - 1)

Total number of marbles = 7

(2/7) x (2-1/7-1)

2/7 x 1/6 = 1/21

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1) Since the value of y varies directly with x, we can write

y=kx Plugging into that

-8 = k(4)

-8 = 4k Divide both sides by 4

k =-2

2) When x = -4 then we can find y by plugging into that

y = kx

y = (-2)(-4)

y = 8

3) Hence, the answer is 8

Answer:

yx=8 and xy=20 so that is the correct answer

The probability of landing heads exactly 11 times when a coin is tossed 20 times is option a) 0.1602

The repeated tossing of a coin follows a binomial distribution

P(X = x) = ⁿCₓ pˣ (1 - p)⁽ⁿ ⁻ ˣ⁾

where,

n = No. of times the experiment was repeated

x = random variable defining the number of "successes"

p = probability of "success"

Here

"succeess" is the event of landing a head.

n = 20

x = no. of times heads should show, i.e 11

p = probability of landing a head in a single toss

= 1/2

Hence, putting all this in the formula above we get

P(X = 11) = ²⁰C₁₁ 0.5¹¹ (1 - 0.5)⁽²⁰ ⁻ ¹¹⁾

= ²⁰C₁₁ 0.5¹¹ 0.5⁹

= ²⁰C₁₁ 0.5²⁰

= 20!/ 11! (20 - 11)! X 0.5²⁰

= a) 0.1602

Complete Question

An unbiased coin is tossed 20 times.

Find the probability that the coin lands heads exactly 11 times

a. 0.1602

b. 0.5731

c. 0.2941

d. 0.1527

e. 0.6374

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Answer:

x<_5

Step-by-step explanation:

first collect the like terms

4x<_28-8

4x/4<_20/4

=x<_5

The given problem states that a bucket contains 512 gallons of water. Water spills from the bucket so that only 5 pints remain. We need to find out how many pints of water spill from the bucket. The first step towards the solution of the problem is to convert 512 gallons to pints, which is given below;

1 gallon = 8 pints512 gallons = 8 × 512 pints = 4096 pints. Now, we know that 5 pints of water are remaining after the spill. Hence, the total water that has spilled from the bucket would be;4096 - 5 = 4091 pints. Therefore, 4091 pints of water would have spilled from the bucket.

To solve the given problem, we need to convert gallons to pints, which is given below;1 gallon = 8 pints512 gallons = 8 × 512 pints = 4096 pints. Now, we know that only 5 pints of water remain in the bucket. Hence, we need to find out the total amount of water that has spilled from the bucket. To find out the total amount of water spilled, we need to subtract the remaining water from the initial water, which is given below;4096 - 5 = 4091 pints. Therefore, 4091 pints of water would have spilled from the bucket. Hence, t 4091 pints of water.

It can be concluded that if a bucket contains 512 gallons of water, and water spills from the bucket so that only 5 pints remain, then 4091 pints of water would have spilled from the bucket.

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