45 is ________% of 300

Answer:

see below

Step-by-step explanation:

Take the number of people surveyed and multiply by 30 %

8 * 30%

Change to decimal form

8 * .3

2.4

About 2.4 will purchase online

The measure of the angles ( 15y - 48 )°, ( 8x - 1 )°, and ( 11x - 25 )° are 165°, 15°, and 63° respectively.

The lines j and k are parallel and lines l and m are parallel.

Consider the figure,

( 8x - 1 )° ≅ 1, corresponding angles

1 ≅ 9, corresponding angles

9 ≅ ( 11x - 25 )°, vertical angles

Therefore,

m∠ 1 = m∠ 9

m∠9 = ( 8x - 1 )°

So,

( 8x - 1 )° = ( 11x - 25 )°

Subtracting 8x from both sides of the equation.

11x - 25 - 8x = 8x - 1 - 8x

3x - 25 = - 1

Adding 25 on both sides of the equation.

3x - 25 + 25 = - 1 + 25

3x = 24

Dividing each side of the equation by 3

( 3x/3 ) = ( 24/3 )

x = 8

Now, the angle made by a straight line is 180°.

Therefore,

( 8x - 1 )° + ( 15y  - 48 )° = 180°

( 8 × 8 - 1 )° + ( 15y - 48 )° = 180°

15° + 15y - 48° = 180°

15y - 33° = 180°

Adding each side of the equation by 33°.

15y - 33° + 33° = 180° + 33°

15y = 213°

Dividing each side of the equation by 15

( 15y/15 ) = ( 213/15 )°

y = 14.2°

So, the measure of the angles are:

( 15y  - 48 )° = ( 15 × 14.2 - 48 )° = ( 213 - 48 )° = 165°

( 8x - 1 )° = ( 8 × 8 - 1 )° = 15°

( 11x - 25 )° = ( 11 × 8 - 25 )° = ( 88 - 25 )° = 63°

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Answer: The answer is C: \(17\sqrt{13}\)

Step-by-step explanation: Since both Radicands have the same, add the indexes together to get 17

Alice gave Zack 5/32 of the chocolate bar. If Alice got 5/8 of a full bar of chocolate, this means she has 3/8 of the chocolate left after giving Zack his share.

To find out how much of her own piece Alice gave Zack, we need to subtract Zack's share from the amount Alice originally had.

Alice originally had 5/8 of the chocolate bar, so 1/4 of the full bar that Alice gave to Zack is:

(1/4) x (5/8) = 5/32

Therefore, Alice gave Zack 5/32 of the chocolate bar, which is the same as saying she kept 3/8 - 5/32 = 11/32 of the chocolate bar for herself.

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Answer:

1080

Step-by-step explanation:

Answer:

90 Cubic Inches

Step-by-step explanation:

I believe that the answer is 90 because Volume is calculated by doing Length x Width x Height (X is Multiplication) so if you multiply 10 x 6 x 1.5 which would end up with the end result of 90. If you find any fault in my answer please let me know. Thanks. Have a good day!

The probability distribution for red ball is 1/16.

we have,

Red ball = 1

White ball= 3

Total ball = 4

Probability of getting a red ball both time

= 1/4 x 1/4

= 1/16

Thus, the required probability is 1/16.

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I understand that algebraic operations can be confusing at first, but I'll do my best to explain them step by step. Let's start with addition and subtraction in algebra, and then move on to multiplication and division.

Addition in Algebra:

Start with two or more algebraic expressions or terms that you need to add together.

Identify like terms, which are terms that have the same variables raised to the same powers. For example, 3x and 5x are like terms because they both have the variable x raised to the power of 1.

Combine the coefficients (the numbers in front of the variables) of the like terms. For example, if you have 3x + 5x, you add the coefficients 3 and 5 to get 8.

Write the sum of the coefficients next to the common variable. In this case, it would be 8x.

If there are any remaining terms without a like term, simply write them as they are. For example, if you have 8x + 2y, you cannot combine them because x and y are different variables.

Subtraction in Algebra:

Subtraction is similar to addition, but instead of adding terms, we subtract them.

Start with two algebraic expressions or terms.

Identify like terms, as we did in addition.

Instead of adding the coefficients, subtract the coefficients of the like terms.

Write the difference of the coefficients next to the common variable.

Handle any remaining terms without a like term in the same way as in addition.

Multiplication in Algebra:

Multiply the coefficients of the terms together. For example, if you have 2x * 3y, multiply 2 by 3 to get 6.

Multiply the variables together. In this case, multiply x by y to get xy.

Write the product of the coefficients and variables together. So, 2x * 3y becomes 6xy.

Division in Algebra:

Divide the coefficients of the terms. For example, if you have 12x / 4, divide 12 by 4 to get 3.

Divide the variables. If you have x / y, you cannot simplify it further because x and y are different variables. So, you leave it as x / y.

Remember, these steps are general guidelines, and there might be additional rules and concepts specific to certain algebraic expressions.

It's important to practice and familiarize yourself with these operations to gain confidence and improve your understanding.

The probability that no more than 86 of the 310 tested children have vitamin D deficiency is 0.9994.

If the probability of a child being deficient in vitamin D is p = 0.30, then the probability of a child not being deficient in vitamin D is q = 0.70. The company wants to find the probability that no more than 86 of the 310 tested children have vitamin D deficiency.

Thus, we need to calculate P(X ≤ 86) where X is the number of children who have vitamin D deficiency among the 310 tested children.

Using the Normal approximation to the binomial distribution with mean (μ) = np and variance (σ²) = npq, we can standardize the distribution. The standardized variable is Z = (X - μ) / σ.

Substituting the values we have, we get;

μ = np

μ = 310 × 0.30

μ = 93

σ² = npq

σ² = 310 × 0.30 × 0.70

σ² = 65.1

σ = √(σ²)

σ = √(65.1)

σ = 8.06P(X ≤ 86)

σ  = P(Z ≤ (86 - 93) / 8.06)

σ = P(Z ≤ -0.867)

Using the standard normal table, P(Z ≤ -0.867) = 0.1922.

Therefore, the probability that no more than 86 of the 310 tested children have vitamin D deficiency is 0.9994 (1 - 0.1922).

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Answer:

-4 ≤ x ≤ 3

Step-by-step explanation:

A closed circle (●) means 'greater than or equal to' or 'less than or equal to'.

An open circle (○) means 'greater than' or 'less than'

Answer:

3\(\geq\)-4

Step-by-step explanation:

° <,>

Answer:

2y=-1/8x+7

Step-by-step explanation:

Answer:

Rewrite equestion

8x - 2y= -7

Answer: Option B

Step-by-step explanation:

The frequency of A allele after a single generation of mutation can be found as follows: Frequency of A allele after a single generationp(A) = p(A) x (1 - m) + q(a) x m

where,
m = mutation rate = 10^-6p(A) = frequency of A allele in initial generation = 0.75q(a) = frequency of a allele in initial generation = 0.25Thus,p(A) = 0.75 x (1 - 10^-6) + 0.25 x 10^-6 = 0.74999925

And the frequency of a allele will beq(a) = 1 - p(A) = 1 - 0.74999925 = 0.25000075

Therefore, the frequency of the A and a alleles in the next generation will beA: 0.74999925 and a: 0.25000075.

This is option D.

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Answer:

m

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

99/4 = 24 3/4

Step-by-step explanation:

25 1/2 = (25 x 2 + 1)/2 = 51/2 = 102/4

102/4 - 3/4 = 99/4 = 24 3/4

Answer:

keep the canon digital marketing. this was not able the first one. it has to go on, I will not

The diameter of Earth in kilometers is approximately 12,682 km, making option D the correct answer.

To convert the diameter of Earth from miles to kilometers, we can multiply the given diameter in miles by the conversion factor of 1.6 kilometers per mile.

Given that Earth's diameter is 7,926 miles, we can calculate its diameter in kilometers as follows:

Diameter in kilometers = Diameter in miles × Conversion factor

Diameter in kilometers = 7,926 miles × 1.6 kilometers/mile

Diameter in kilometers = 12,681.6 kilometers

Rounding this value to the nearest whole number, we get 12,682 kilometers.

Therefore, the correct answer is option D: 12,682 km.

Option A: 49,553 km is not the correct answer. It is not consistent with the given diameter of Earth.

Option B: 120,586 km is also not the correct answer. It is not consistent with the given diameter of Earth.

Option C: 1,392,650 km is significantly larger than the actual diameter of Earth and is not a plausible value.

In conclusion, the diameter of Earth in kilometers is approximately 12,682 km, making option D the correct answer.

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Answer: 5x + 15 = y

Step-by-step explanation:

mx+b = y

find rise over run

(y_2-y_1)/(x_2-x_1) = m

(-5-5)/(-4+2)

simplify

-10/-2

10/2

5 = m

plug in a point and find b

5(-2) + b = 5

-10 + b = 5

b = 15

5x + 15 = y

Answer:

yea i can help

Step-by-step explanation:

Answer:

MN = 20

QR = 80

PR = 100

AB = 76

Answer:

Step-by-step explanation:

two

By  null hypothesis the given statement " in a two-sided test for mean, we do not reject if the parameter is included in the confidence interval."is True.

In a two-sided test for mean, if the null hypothesis is that the population mean is equal to some value μ0, then the alternative hypothesis is that the population mean is not equal to μ0.

If we compute a confidence interval for the population mean using a certain level of confidence (e.g. 95%), and the confidence interval includes the null value μ0, then we fail to reject the null hypothesis at that level of confidence.

This is because the confidence interval represents a range of plausible values for the population mean, and if the null value is included in that range, we cannot say that the data provides evidence against the null hypothesis.

However, if the confidence interval does not include the null value μ0, then we can reject the null hypothesis at that level of confidence and conclude that the data provides evidence in favor of the alternative hypothesis that the population mean is different from μ0.

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Answer:

x = 9

Step-by-step explanation:

1/4(8x+12) =21

1/4 * 8x = 2x

1/4 * 12 = 3

2x + 3 = 21

21 - 3 = 18

2x = 18

18/2 = 9

x = 9

Answer:

x=9

Step-by-step explanation:

2x+3=21

2x=18

x=9

Answer:

y=2x+2

Step-by-step explanation:

the equation for slope intercept form is y=mx+b where b is the y intercept and m is the slope. From the graph we can see that where x is 0 y is 2 which makes 2 be the y intercept, and when x is 1 y is 4 which then you replace y for 4 and x for 1 which would be 4=m(1)+2,now u subtract 2 from both sides which leaves you with 2=m(1) and m times 1 is m so now your left with 2=m which means the slop is 2

The surface area of a cube with a side length of 8 inches is 384 square inches.

A cube is a three-dimensional object with six congruent square faces. If the side length of the cube is 8 inches, then each face has an area of 8 x 8 = 64 square inches.

To find the total surface area of the cube, we need to add up the areas of all six faces. Since all six faces have the same area, we can simply multiply the area of one face by 6 to get the total surface area.

Total surface area = 6 x area of one face

= 6 x 64 square inches

= 384 square inches

Therefore, the surface area of a cube with a side length of 8 inches is 384 square inches.

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Step-by-step explanation:

she has x money at the beginning.

(3/4)x = dictionary

the remainder is (1/4)x.

1/2 of that (1/4 × 1/2 = 1/8) is the calculator.

that means she has (1/4)x - (1/8)x = (1/8)x left.

the dictionary is $30 more than the calculator.

so,

(3/4)x = (1/8)x + 30

(6/8)x = (1/8)x + 30

(5/8)x = 30

5x = 240

x = 240/5 = $48

so, the dictionary cost

(3/4)x = (3/4)×48 = 3×12 = $36

Answer:

3x^5-4x^4-x^2+5

Step-by-step explanation:

(3x^5−2x^4−5)−(2x^4+x^2−10)

Distribute the minus sign

(3x^5−2x^4−5)−2x^4-x^2+10

Combine like terms

3x^5-4x^4-x^2+5

Hello!

\(\boxed{ \bf 3x^5~-~4x^4~-~x^2~+~5}\)

(3\(x^{5}\) - 2\(x^{4}\) - 5) - (2\(x^{4}\) + x² - 10)

Drop the brackets:

3\(x^{5}\) - 2\(x^{4}\) - 5 - 2\(x^{4}\) - x² + 10

Combine Like Terms:

3\(x^{5}\) - 2\(x^{4}\) - 2\(x^{4}\) - x² - 5 + 10

3\(x^{5}\) - 4\(x^{4}\) - x² + 5

The probability that a child younger than 18, selected at random, is allergic to multiple foods is 0.02, or 2%.

Let A be the event that the child has an allergy, and B be the event that the child is allergic to multiple foods.

Then, P(B|A) = 0.2, which means the probability of the child being allergic to multiple foods, given that the child has an allergy, is 0.2.

P(B) = P(A) x P(B|A) + P(A') x P(B|A')

P(B) = 0.1 x 0.2 + 0.9 x P(B|A')

We know that P(B|A') is 0 since a child who does not have an allergy cannot be allergic to multiple foods. Therefore,

P(B) = 0.1 x 0.2 + 0.9 x 0 = 0.02

Probability is a branch of mathematics that deals with the measurement and quantification of uncertainty. It is the study of the likelihood or chance of an event occurring, based on available information or data. Probability can be used to predict the outcome of a random event, such as rolling a dice or flipping a coin.

The probability of an event is expressed as a number between 0 and 1, with 0 meaning the event is impossible, and 1 meaning the event is certain. For example, the probability of rolling a six on a dice is 1/6, or approximately 0.17. Probability is used in a wide range of fields, including statistics, finance, engineering, and science. It is often used in decision-making to determine the best course of action in situations where there is uncertainty or risk involved.

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