What is the volume of this sphere to the nearest hundredth?
PLEASE HELP ASAP

the probability that an individual is really allergic to cats given a positive test result is approximately 0.0985 or 9.85%.

To determine the probability that an individual is really allergic to cats given a positive test result, we can use Bayes' theorem.

Let's define the following probabilities:

P(A) = Probability of being allergic to cats = 0.01 (1% of the population)

P(T) = Probability of a positive test result

P(T|A) = Probability of a positive test result given that the individual is allergic to cats (true positive rate) = 0.80

P(T|not A) = Probability of a positive test result given that the individual is not allergic to cats (false positive rate) = 0.10

We want to find P(A|T), the probability of being allergic to cats given a positive test result.

According to Bayes' theorem:

P(A|T) = (P(T|A) * P(A)) / P(T)

To calculate P(T), we need to consider both the true positive cases (allergic individuals who test positive) and the false positive cases (non-allergic individuals who test positive):

P(T) = P(T|A) * P(A) + P(T|not A) * P(not A)

P(not A) represents the probability of not being allergic to cats, which is equal to 1 - P(A).

Let's substitute the given values into the formula:

P(T) = (0.80 * 0.01) + (0.10 * (1 - 0.01)) = 0.0809

Now we can calculate P(A|T):

P(A|T) = (0.80 * 0.01) / 0.0809 ≈ 0.0985

Therefore, the probability that an individual is really allergic to cats given a positive test result is approximately 0.0985 or 9.85%.

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If Flyer Co. buys back 5102 shares of their $3 par value common stock for $17 per share. The amount debited to the treasury stock account to record the purchase would be $ 86,834.

To calculate the amount debited to the treasury stock account, we need to multiply the number of shares bought back by the price per share.

In this case, Flyer Co. buys back 5102 shares at $17 per share.

The amount debited to the treasury stock account is calculated as follows:

Amount = Number of shares bought back * Price per share

Amount = 5102 * $17

Amount = $86,834

Therefore, the amount debited to the treasury stock account to record the purchase would be $86,834.

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The simplified expression of (5.1)(5.1^2)^4 is (5.1)^9

The expression is given as:

(5.1)(5.12)4

Rewrite the expression properly as follows:

(5.1)(5.1^2)^4

Rewrite the expression properly as follows:

(5.1)(5.1^2)^4 = (5.1) * (5.1^2)^4

Apply the power law of indices

(5.1)(5.1^2)^4 = (5.1) * (5.1^8)

Apply the power law of indices

(5.1)(5.1^2)^4 = (5.1)^(1 + 8)

Evaluate the sum

(5.1)(5.1^2)^4 = (5.1)^9

Hence, the simplified expression of (5.1)(5.1^2)^4 is (5.1)^9

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Answer:

Step-by-step explanation:

The diagonals of the bases form a rectangle with sides containing A and B points.

AB is the diagonal of the formed rectangle and its length is:

Answer:

\(\huge{\underline{\mathtt{\red{A}\pink{N}\green{S}\blue{W}\purple{E}\orange{R}}}}\)

19 cm

The diagonals of the bases form a rectangle with sides containing A and B points.

AB is the diagonal of the formed rectangle and its length is:

\(\tt AB = \sqrt{5^2 + 16^2+7^2 } = \sqrt{25 + 256+49 } = \sqrt{369} } = 19 cm \)

A radioactive atmosphere around the area and an expensive, hard time cleaning everything up.

Answer:

Positive.  

Step-by-step explanation:

Negative times negative is positive.  The other factor of the equation is positive.  Multiply that and the sign is positive.

If the standard length of one kind of nail is 5 cm, and we want to test whether the nails produced on a particular day fit the standard requirement, we would set up the following hypotheses:

Null hypothesis (H0): The mean length of nails produced on the particular day is equal to the standard length of 5 cm.
Alternative hypothesis (Ha): The mean length of nails produced on the particular day is not equal to the standard length of 5 cm.

To test these hypotheses, we would take a sample of nails produced on the particular day and measure their lengths. We would then calculate the sample mean and compare it to the standard length of 5 cm using a hypothesis test.

In conclusion, If the sample mean is significantly different from the standard length, we would reject the null hypothesis and conclude that the nails produced on the particular day do not meet the standard length requirement. If the sample mean is not significantly different from the standard length, we would fail to reject the null hypothesis and conclude that the nails produced on the particular day meet the standard length requirement.

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Answer: x=0.75

Step-by-step explanation: Brain list?

A: 0.25[2.5x + 1.5(x – 4)] = –x.

    x =  0.75

Multiply both sides by 4

2.5x +1.5(x - 4) = -4x

Multiply the bracketed term by 1.5

2.5x + 1.5x - 1.5*4 = -4x

Simplify the left-hand side

4x - 6 = -4x

Add 4x to both sides

8x - 6 = 0

Add 6 to both sides

8x = 6

Divide both sides by 8

x = 6/8

Simplify

x = 3/4  (or x = 0.75)

To find the equation of the line, we will use the formula below;

x₁=-6 y₁=6 x₂=4 y₂=6

substitute the values into the formula

y - 6 = 0

y = 6

Answer:

210.2

Step-by-step explanation:

Formula

(99°C × 9/5) + 32 = 210.2°F

Answer:

Okay, where's the question?

Okay, here we have this:

We know that 39 of the 90 students in the band are male this means that the rest are women, let's calculate how many they are:

Womens=Total-Male

Womens=90-39

Womens=51

Now, knowing this we are going to find the ratio of female to male students in the band:

Number of female/ Number of male = 51/39

Now, let's convert it in lowest terms:

Ratio=51/39=17 female/13 male

Finally we obtain that there are 17 female for each 13 male.

Answer:

13 : 17

Step-by-step explanation:

39 : 51
13 : 17

The sampling distribution of xbar for random samples of 40 observations from an extremely skewed population, such as exponential, is approximately normal.

The Central Limit Theorem (CLT) states that when random samples of sufficient size are drawn from any population, regardless of its distribution, the sampling distribution of the sample mean (xbar) tends to follow a normal distribution. This property holds true even when the population from which the samples are drawn is highly skewed.

In the case of an extremely skewed population, like the exponential distribution, the individual observations may be highly skewed and not normally distributed. However, as the sample size increases, the distribution of xbar becomes more and more bell-shaped and symmetric. This occurs because the averaging of a large number of observations tends to mitigate the effect of extreme values and smoothes out the distribution.

Therefore, when random samples of 40 observations are drawn from an extremely skewed population, the sampling distribution of xbar will be approximately normal. This allows us to make statistical inferences and use techniques that rely on the assumption of normality, such as confidence intervals and hypothesis tests, even when the underlying population distribution is highly skewed.

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Answer: 10t+10=20

Step-by-step explanation:

No, the supplier offering the tables for $498 a unit with a lead time of 60 days should not be preferred over the current supplier.

In order to determine which supplier should be preferred, we need to compare the total costs associated with each supplier. The total cost includes both the ordering cost and the holding cost.

For the current supplier with a unit cost of $500 and a lead time of 3 days, we can calculate the Economic Order Quantity (EOQ) based on the annual demand of 9,000 units. Using the EOQ formula, we can find the optimal order quantity that minimizes the total cost. With the EOQ, we can calculate the ordering cost per order and the average holding cost per unit.

For the supplier offering the tables for $498 a unit but with a lead time of 60 days, we need to consider the longer lead time and the associated holding cost over that period.

By comparing the total costs of both suppliers, taking into account the ordering cost, holding cost, and lead time, we can determine which supplier is more cost-effective.

Based on the analysis of the total costs, it is evident that the current supplier should be preferred over the supplier offering the tables for $498 a unit with a lead time of 60 days. Although the unit cost is slightly lower for the alternative supplier, the longer lead time results in higher holding costs over the 60-day period. This increase in holding costs offsets the small reduction in unit cost.

To maintain the 92% service level, it is more cost-effective to stick with the current supplier, who sells the tables for $500 a unit and requires only 3 days of lead time.

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Answer:

4,600,000,000

Step-by-step explanation:

Don't forget the order of operations

3.243 × 10⁸/7.05

= 46,000,000 × 10²

= 4,600,000,000

or 4.6 × 10⁹

Answer:

4.6x10 to the power of 5

Step-by-step explanation:

7.05×10

2

3.243×10

8

​

Divide them.

\frac{3.243}{7.05}\times \frac{10^8}{10^2}

7.05

3.243

​

×

10

2

10

8

​

Divide numbers and 10's separeately.

0.46\times 10^6

0.46×10

6

Subtract exponents.

(4.6\times 10^{-1})\times 10^6

(4.6×10

−1

)×10

6

Rewrite as a number bigger than 1

4.6\times (10^{-1}\times 10^6)

4.6×(10 −1 ×10 6 )

Associate

4.6\times 10^5

4.6×10 5

Add exponents

Dimensions of the rectangular plot are 25' × 50'.

The area of a rectangular plot is 1250m.

What is the dimension of the rectangle?

Four perpendicular sides make up the two-dimensional geometric shape of a rectangle. Two of the four sides are distinct, and the other two resemble the distinctive sides. The dimensions of a rectangle are these two distinctive sides.

Here, we have

100 meters fencing

We have to find the dimensions and area of the rectangular plot.

so, 2x + y = 100

y = 100 - 2x

A = xy

A = x (100 - 2x)

A = 100x - 2x²

We differentiate w.r.t x, and we get

A' = 100 - 4x

We put, A'= 0

100 - 4x = 0

x = 25

y = 50

A = xy

A = 25 × 50

A = 1250m

Hence, the dimension of the rectangular plot is 25' × 50'.

The area of a rectangular plot is 1250m.

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Explanation:

The parabola is symmetric around its vertex. This means that the roots are the same horizontal distance away from the vertex. Furthermore, we can apply the midpoint formula on the given roots to find the x coordinate of the vertex.

Find the midpoint of 2 and 3 to get (2+3)/2 = 5/2

Note: 5/2 = 2.5

The probability of scoring a goal exactly 8 times by Jon is given by 0.0234. It is obtained using the prerequisite knowledge of binomial distribution and probability.

What is Binomial Distribution in Probability?

When each trial has a probability of occurring equally likely, then the number of trials or observations is outlined using the binomial distribution. The chance of observing a specific number of successful outcomes in a specific number of trials is determined by using the binomial distribution.

Calculation of the probability of the given event

Total no. of possible outcomes, n = 11

The probability that Jon will kick the ball in the net, p(x) = 0.4

The probability that Alex will kick the ball in the net, q(x) = 0.6

Using Binomial Distribution, we get,

P(x = r) = C(n,r) × (p)r × q(n - r)

where x is the score made by Joe

P(x = 8) = C(11,8) × (0.4)8 × (0.6)3

             = 0.0234

Hence, the probability that Jon will score exactly 8 times is 0.0234.

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Answer:

-18

Step-by-step explanation:

km

k= -3

m= 6

km = -3*6

km = -18

Answer:

The answer is -18.

Step-by-step explanation:

k×m

-3×6

-18

Answer:

Does not pass the vertical line test, so its not a function.

Step-by-step explanation:

Answer:

Y=X+1

Step-by-step explanation:

Y=2

Slope-intercept form=

Y=Mx +c

First equation

Y= -3x+5

Substituting y=2 in the first equation

2=-3x+5

3x=5-2

3x=3

x=3/3

x=1

Co-ordinates=(1,2)

Second equation

M(Gradient)=1

Y=Mx+c

To find c(Intercept)

2=1(1) +c

2=1+c

2-1=c

1=c

⇔c=1

Equation⇒

Y=Mx+C

Y=1(x) +1

Y=X+1

Answer:

90 minutes

Step-by-step explanation:

it will take twice as long therefore 90 minutes

The hashing function h(k) = k mod 101 assigns memory locations based on the remainder of the Social Security number (k) divided by 101.

a) For the Social Security number 104578690, h(104578690) = 104578690 mod 101 = 74. So, this record would be assigned to memory location 74.

b) For the Social Security number 432222187, h(432222187) = 432222187 mod 101 = 3. So, this record would be assigned to memory location 3.

c) For the Social Security number 372201919, h(372201919) = 372201919 mod 101 = 46. So, this record would be assigned to memory location 46.

d) For the Social Security number 501338753, h(501338753) = 501338753 mod 101 = 39. So, this record would be assigned to memory location 39.

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Answer:

13/25 is the correct answer

Step-by-step explanation:

Hope this helped, please mark me as brainliest please!

Answer:

Step-by-step explanation:

I believe it’s the last one. A conditional statement will have “if”. The second statement doesn’t make sense. The first and third statements aren’t conditional. The 4th or last statement works.

Answer:

The rate that the distance between the police car and car is changing = 3 m/s

Step-by-step explanation:

The given speed of the police car = 35 mph

The speed of the speeding car = 30 mph

The position of the police car = 0.75 miles north

The position of the speeding car = 1 miles east

The distance of the police car from the speeding car, d = √(0.75² + 1²) = 1.25

d² = x² + y²

2d·dd/dt = 2x·dx/dt + 2·y·dy/dt

Where;

dx/dt = 30 mph

dy/dt = -35 mph

x = 1

y = 0.75

Substituting gives;

2×1.25 ×dd/dt = 2×1×30 - 2×0.75×35

2×1.25 ×dd/dt = 7.5

dd/dt = 7.5/2.5 = 3

dd/dt = 3 m/s

The rate that the distance between the police car and car is changing = dd/dt = 3 m/s

Answer:

The answer is increasing by 3 mph

Step-by-step explanation:

The distribution of the given function is a uniform distribution.

A strictly increasing function is the one which increases continuously in a given interval. If f-1(u) is a strictly increasing function of u, then the distribution of f-1(u) is the same as that of u. This is because a strictly increasing function preserves the rank ordering of its input, so if u-1 and u-2 are two random variables with a uniform distribution on the interval (0,1), then the rank order of f-1(u-1) and f-1(u-2) will be the same as the rank order of u-1 and u-2. Since the uniform distribution is defined by the rank order of its values, this means that the distribution of f-1(u) is also uniform on the interval (0,1).

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The best answer that describes the meaning of the multiplicities next to the number 1 in the preceding diagram is: the number 1 represents the solution that repeats thrice.

A multiplicity is a mathematical concept used to describe the number of times a value appears as a root of a polynomial equation. The number of times a specific value appears as a root of a polynomial is referred to as the multiplicity of that value.

In the given diagram, the number 1 represents the solution of the equation x = 1. The multiplicities of the number 1 are represented by the number 3.

Therefore, the number 1 has a multiplicity of 3. This means that the solution of the equation x = 1 repeats thrice. This can be better understood by looking at the graph of the equation.

The graph of the equation x = 1 is a vertical line that intersects the x-axis at 1.

Since the equation has a multiplicity of 3, the vertical line intersects the x-axis three times.

This means that the point (1, 0) occurs three times on the graph. This is shown in the diagram as three dots along the x-axis.

Therefore, the meaning of the multiplicities next to the number 1 in the preceding diagram is that the number 1 represents the solution that repeats thrice.

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