Yesterday, sam had 146 baseball cards. today, he gave d away. Using d, write an expression for the number of cards same has left

The cost of the utility pole is approximately $593.96.

Volume is a measure of the amount of space occupied by a three-dimensional object. It is usually measured in cubic units such as cubic meters (m³), cubic centimeters (cm³), or cubic feet (ft³). The volume of an object can be found by measuring its length, width, and height and using a formula that relates these dimensions to the amount of space the object occupies. In geometry, the most common shapes for which volume is calculated include cubes, spheres, cylinders, pyramids, and cones.

The volume of a right cylinder is given by the formula V = πr²h, where r is the radius of the base and h is the height.

In this case, the diameter of the utility pole is 1.5 ft, so the radius is 0.75 ft. The height is 45 ft. Therefore, the volume of the utility pole is:

V = π(0.75 ft)²(45 ft) = 23.3826... cubic feet

Rounding to the nearest hundredth, we get:

V ≈ 23.38 cubic feet

The cost of wood per cubic foot is $25.37. Therefore, the cost of the utility pole is:

$25.37/cubic foot × 23.38 cubic feet ≈ $593.96

So the cost of the utility pole is approximately $593.96.

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Answer:

The median of the scores in this stem-and-leaf plot is 78

Step-by-step explanation:

The total data set represented by Stem and leaf in order from the least to the greatest are as following:

58, 59, 64, 64 , 66, 68, 72, 74, 75, 76, 78, 79, 83, 84, 86, 87, 88, 91, 93, 93, 95

The number of data is 21

The median of the data at the place number 11

So, median = 78

Answer:

B

Step-by-step explanation:

\( \frac{2 - ( - 2)}{2} = 2\)

maximum distance minus the minimum distance then divide everything by 2

:)

The correct relationship between Student's t-distribution and the standard normal distribution is option B: as the sample size approaches infinity, the Student's t-distribution approaches the standard normal distribution.

The sample mean's estimation of the population mean is less precise and the sample mean's distribution is more erratic when the sample size is small. Because the distribution of t-values is more skewed as a result, the student's t-distribution has thicker tails than the traditional normal distribution.

The sample mean's distribution, however, narrows as sample size increases, making it a more precise reflection of the population mean. The student's t-distribution resembles the traditional normal distribution as a result of the narrowing of the t-value distribution.

For the ordinary normal distribution to accurately approximate the student's t-distribution in practice, a sample size of 30 or more is frequently thought to be sufficient.

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Correct question:

what is the relationship between student's t distribution and the standard normal distribution?

student's t will approach to standard normal distribution as the sample size approachs 0.

student's t will approach to standard normal distribution as the sample size approachs infinite

standard normal distribution will approach to student's t distribution as the sample size approachs 0

standard normal distribution will approach to student's t distribution as the sample size approachs infinite.

Answer:

x≈11.8

Step-by-step explanation:

Since this is a right triangle, we can use cosine to find the length of CD.

First, set up an equation, then solve:

cos(49°)=18/x

x=18/cos(49°)

x≈ 11.80906252

rounded to the nearest tenth of a foot:

x≈11.8

Answer:

Step-by-step explanation:

Remark

The adjacent side is one of the two sides making up the acute angle in a right triangle. The second side is the Hypotenuse.

Givens

Cos(C) = side Adjacent / Hypotenuse

Cos(49) = 0.6561

Side Adjacent = 18

Solution

Cos(C) = side adjacent / Hypotenuse       Multiply both sides by the hypotenuse

Hypotenuse * Cos(C) = Side Adjacent     Divide by Cos(C)

Hypotenuse = Side Adjacent /  Cos(C)

Hypotenuse = 18 / Cos(C)

Hypotenuse = 18 / 0.6561

Hypotenuse =      27.437                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                              

To find the constants m and b in the linear function f(x) = mx + b, we can use the given conditions f(7) = 9 and a slope of -3.

The value of f(7) represents the y-coordinate of the point on the line when x = 7. So, substituting x = 7 into the equation, we get 9 = 7m + b.

The slope of a linear function is given by the coefficient of x, which in this case is -3. So, we have m = -3.

Now, we can substitute the value of m into the equation obtained from f(7). We get 9 = 7(-3) + b, which simplifies to 9 = -21 + b.

Solving for b, we find b = 30.

Therefore, the constants for the linear function f(x) = mx + b that satisfy the given conditions are m = -3 and b = 30.

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We have this expression:

We need to do the following steps to solve the equation for t:

Then, t is the same as:

Then, the answer is (A - p)/pr.

Answer:

18

Step-by-step explanation:

List them in order from smallest number to largest number.

10,15,18,18,20

Take one off each side

15,18,18

Take one more off each side

18

Hope this helps

Brainliest would be appreciated

Answer:

4ft

Step-by-step explanation:

4ft is the answer

i hope this helps BRAINEST PLEASE

Answer:

0 < x ≤ 100 and 0 < y ≤ 300

Step-by-step explanation:

THIS IS THE COMPLETE QUESTION BELOW;

college is currently accepting students that are both in-state and out-of-state. They plan to accept three times as many in-state students as out-of-state, and they only have space to accept 100 out-of-state students. Let x = the number of out-of-state students and y = the number in-state students. Write the constraints to represent the incoming students at the college.

0 < x ≤ 100 and 0 < y ≤ 300

x > 0 and y > 0

0 < x ≤ 100 and y > 300

0 < x and y < 100

SOLUTION

they only have space to accept 100 out-of-state students,which means that the Maximum number of out-of-state students that can be accepted is 100

Then x= 100(Maximum number of out-of-state students that can be accepted)

They plan to accept three times as many in-state students as out-of-state which means that

Y = 3x(Maximum number of in-state students)

Then we can deduced that the numbee out-of-state students that can be accepted can lyes between the range of 0 and 100 which means from interval 0 to 100

Which can be written as 0 < x ≤ 100

But we need to know the interval for the Maximum number of in-state students(Y), to do that we need to multiply the equation above by 3 since Y = 3x

0 < x ≤ 100

3× 0 = 0

3× X = X

3× 100= 300

Then 0 < 3x≤ 300

But we know that Y = 3x then substitute into last equation

We have

0 < y ≤ 300

ThenBthe constraints to represent the incoming students at the college is

0 < x ≤ 100 and 0 < y ≤ 300

Answer:

0 < x ≤ 100 and 0 < y ≤ 300

Step-by-step explanation:

took test & got it right

After 24 days, there will be approximately 25 atoms of I13153 remaining. The nuclear process that occurs during the decay is the transformation of I13153 into Xe13154.

The half-life of I13153 is nearly 8 days, which means that after each 8-day period, half of the atoms will decay into Xe13154. Starting with a sample of 200 atoms of I13153, we can calculate the number of remaining atoms after 24 days. Since the half-life is 8 days, the number of remaining atoms after each 8-day period is halved. After the first 8 days, there will be 100 atoms of I13153 remaining.

After the second 8 days, there will be 50 atoms remaining. And after the third 8 days, there will be 25 atoms of I13153 remaining. The nuclear process that occurs during the decay of I13153 is radioactive decay. Specifically, it undergoes beta decay, where a neutron in the nucleus of I13153 is converted into a proton, resulting in the formation of Xe13154. This process releases radiation and transforms the original isotope into a different element.

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Answer:

  685,653 lb

Step-by-step explanation:

The weight of the liquid can be found by multiplying its volume by its density. The volume will be that of a hemisphere, which can be found using the appropriate formula.

The volume of a hemisphere with radius r is given by ...

  V = (2π/3)r³

When the radius is 15 ft, the volume is ...

  V = (2π/3)(15 ft)³ = 2250π ft³

The weight of the liquid in the tank is found using the density.

  W = ρV

  W = (97 lb/ft³)(2250π ft³) = 218250π lb ≈ 685,653 lb

The total weight of the liquid in the tank is about 685,653 pounds.

Answer:6.80

Step-by-step explanation:

Step-by-step explanation:

It’s in step one.

Ling subtracted 6.2 to get rid of it on both side but instead they subtracted it from the right side but added it to the left side when Ling was supposed to subtract from both sides.

Answer:

The product would be -27x.

Step-by-step explanation:

First you use the distributive property to distribute the -9x to the 5 and the -2x. Then you would get -45x+18x. 18x because when you multiply a negative and a negative you get a positive. Then, you add those two and you should get -27x.

To solve for G(f(4))

First replace x with 4 in the equation of f(x), use the solution to replace x in g(x).

F(x) = -4x + 10

= -4(4) + 10

= -16 + 10

= -6

Now replace x in the equation of g(x) with -6

G(x) = x^2 + 7x + 5

= (-6)^2 + 7(-6) + 5

= 36 -42 + 5

= -1

The answer is -1

Answer: 10.873127tx+8

Step-by-step explanation:

Answer:

Yes it's true

Step-by-step explanation:

The probability that the patient actually has HIV is approximately 15.6%.

The question provides information on a scenario where the rapid test is used to determine if a patient has HIV.

The physician assigned the patient to the low-risk group with only 0.5% probability of having HIV. A false-positive rate of 0.027 and a false-negative rate of 0.080 have been provided. The probability that the patient has HIV is required.

Calculation

P(A) = probability of having HIV= 0.005

P(B) = probability of testing positive= ?

P(B | A) = probability of testing positive given that the patient has HIV= 0.973 (100% - False Negative Rate)

P(B | A') = probability of testing positive given that the patient does not have HIV= 0.027 (False Positive Rate)

P(A | B) = probability of having HIV given that the patient tests positive= ?

The physician assigned the patient to the low-risk group with only a 0.5% probability of having HIV.

That is, P(A') = 0.995.

Apply Bayes' theorem below:

P(A | B) = (P(B | A) * P(A)) / [(P(B | A) * P(A)) + (P(B | A') * P(A'))]

P(A | B) = (0.973 * 0.005) / [(0.973 * 0.005) + (0.027 * 0.995)]

P(A | B) = 0.156 ~ 15.6%

Note: Bayes' theorem is a method of calculating the probability of a given event occurring based on the probability of another related event occurring.

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Answer:

A , C and D

Step-by-step explanation:

the score is dependent on the number of gold bars that she collects.

Door to door sampling is used when it is important to control where the sample is delivered and when the products are of a perishable nature.

The term sampling  selecting refers to the selection of a small proportion of the population extrapolating the results the results obtained from this small group to represent the characteristics of the entire population. This sample is chose in a manner as to reflect the properties the generality of the population.

Hence, door to door sampling is used when it is important to control where the sample is delivered and when the products are of a perishable nature.

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Answer:

D

Step-by-step explanation:

The equation of the line is y = 2x + 8

To find the y intercept we make x=0

When x=0 y=8

if y is total cost and x is number of visits then at zero visits (x=0) the total cost is 8, which is what you would find using choice D

Answer:

--------------------------------

It represents the cost with zero visits, likely the membership cost, therefore the correct choice is D.

The value of x that makes the equation cos(x°) = 0.6691 true is approximately 41.16°.

To find the value of x that makes the equation cos(x°) = 0.6691 true, we can use the fact that the sine and cosine functions are complementary for acute angles.

Since sin(42°) = 0.6691, we know that the sine of the angle is 0.6691.

Now, we can use the fact that sin²(x°) + cos²(x°) = 1 for any angle x. Substituting the given value of sin(42°) into this equation, we get:

0.6691² + cos²(x°) = 1

Simplifying this equation, we have:

0.4476 + cos²(x°) = 1

Subtracting 0.4476 from both sides, we get:

cos²(x°) = 0.5524

Taking the square root of both sides, we find:

cos(x°) = ±0.7432

Since x is an acute angle, the cosine function will be positive.

The value of x that makes the equation cos(x°) = 0.6691 true is approximately 41.16°.

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Answer:

x=3

Step-by-step explanation:

5(x^2 - 9) - 5 = -5

5x^2 - 45 = 0

5x^2 = 45

x^2 = 9

x = 3

Answer:

3

Step-by-step explanation:

I did the test

Hope this helps :)

The degrees of freedom for the F test in a one-way ANOVA are D. (c - n) and (n - 1).

The numerator degrees of freedom (c - n) is the number of groups (c) minus the number of observations in each group (n). The denominator degrees of freedom (n - 1) is the total number of observations (n) minus the number of groups (1). These degrees of freedom are used to calculate the F statistic, which is used to determine if there is a significant difference between the means of the groups. The degrees of freedom for the F test in a one-way ANOVA are given by two values. The first value represents the degrees of freedom between groups (DFbetween), and the second value represents the degrees of freedom within groups (DFwithin). The correct is B. (c - 1) and (n - c), where 'c' represents the number of groups (categories) and 'n' represents the total number of observations (data points) in the dataset.

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Answer:

6x²

Step-by-step explanation:

\(\sqrt{36x^{4} }\)

= \(\sqrt{36}\) × \(\sqrt{x^{4} }\)

= 6 × x²

= 6x²

The square root of the monomial \(36x^4\) is 6x².

When you extract a square root and the result is exact, you have a perfect square. A definition says that a perfect square is the result of a multiplication of a whole number by itself.

Then for solving this question, you should extract a square root for \(36x^4.\)

\(\sqrt{36x^4}=6x^2\), you can check 6x² * 6x²=\(36x^4.\)

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The best way to light a subject against a white background is by lighting the background and the subject with the same light

Since, light falls off in intensity as it travels farther from the source, the distance from the subject to the background greatly impacts the luminosity of the background:

If you want to keep the background as bright as possible without using a second light, place the subject close to the background and the keylight far away. This approach is simple and effective, though it doesn’t provide quite the control of lighting the background independent from the subject.

Therefore, the best way to light a subject against a white background is

by lighting the background and the subject with the same light.

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Answer:

405 miles

Step-by-step explanation:

Step 1:

4 : 90 = 18 : x   Proportion

Step 2:

4x = 1620   Multiply

Step 3:

1620 ÷ 4  Divide

Answer:

405 miles

Hope This Helps :)