5x+2-{3x+1+2(4x+1-3x+1)}
​

Madison figures out the average and range of chloride readings from wells close to the ocean. Other than a query, she has carried out an operation. The answer id option (d).

The standard deviation is a measure of variance from the mean that takes spread, dispersion, and dispersion into account. The standard deviation displays a "typical" divergence from the mean. It is a well-liked measure of variability since it retains the primary units of measurement from the data set.  A minor variation occurs when the numbers are close to the mean, while a high variation occurs when they are far from the mean.

The standard deviation describes the degree to which the results deviate from the mean. The average deviation, which depends on all values, is the most often used metric for measuring dispersion. Consequently, the standard deviation's value can be altered even by a slight change in one value.

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Answer: x=9

Step-by-step explanation:

2x+10=28

2x=18

x=9

Answer:

9

Step-by-step explanation:

because 2 times 9 is 18 then plus 10 equals 28

Answer:

126

Step-by-step explanation:

to find x one would need to 147 - 21 which results to 126

Answer:

12

Step-by-step explanation:

12+3=15

Answer:

139314.069504

Step-by-step explanation:

7.2 × 7.2 × 7.2 × 7.2 × 7.2 × 7.2 = 139314.069504

Answer:

139314.069504

Step-by-step explanation:

7.2*7.2=51.84

51.84*7.2=373.248

373.248*7.2=2687.3856

2687.3856*7.2=19349.17632

19349.17632*7.2=139314.069504

Answer:

(c) the supplements of congruent angles are congruent.

Step-by-step explanation:

Since JKL and JLK are respectively the supplements of angles 3 and 4, we can use the justification

(c) the supplements of congruent angles are congruent.

Answer:

The answer will be C

Step-by-step explanation:

It will not be HL theorem nor SAS postulate so that gives you with C and D. Now D is incorrect because those angles arent complementary

If a number is even, then it is a multiple of 2.

An even number is a whole number that is divisible by 2 without leaving a remainder. In other words, when an even number is divided by 2, the result is an integer. This property holds true for all even numbers.

To prove Ayana's conjecture that the sum of two odd integers is an even integer, we can utilize the properties of even and odd numbers.

Let's consider two odd integers represented by the expressions a = 2n + 1 and b = 2m + 1, where n and m are any integers. These expressions represent two odd numbers because they follow the pattern of odd numbers (odd = 2k + 1, where k is an integer).

When we add these two odd numbers, a + b, we get:

(2n + 1) + (2m + 1) = 2n + 2m + 2 = 2(n + m + 1).

We can see that the sum of the two odd integers can be expressed as 2 times another integer (n + m + 1), which follows the definition of an even number.

By using the properties of even and odd numbers and analyzing the sum of two odd integers, we have proven that the result is indeed an even integer, supporting Ayana's conjecture.

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Answer:You can choose 6 different sets of 5 books to read.

Step-by-step explanation:All you need to do is do 30 divided by 5 and you get 6

Im pretty sure its permutation

Answer: Number 1 is 1/8

Number 2 is 11/5.

Number 3 is 1/15.

Number 4 is 1/16.

Step-by-step explanation: To get better at this use multiplication and division.

Answer:

5x

Step-by-step explanation:

The natural log of 5x is the exponent to give e to get 5x as a result.  You are simply applying the definition of logarithm

The expression \(e^{ln(5x)\) evaluates to 5x after simplification.

Option: A is correct.

Here, we have,

The expression \(e^{ln(5x)\) involves two important mathematical properties:

\(e^{ln(x)} = x\):

This is a fundamental property of the natural logarithm and the base of the natural exponential function, e.

When the natural logarithm (ln) and the natural exponential function \((e^x)\) are composed, they "cancel out," and the result is the argument inside the ln function (x).

\(e^0 = 1\):

The natural exponential function raised to the power of 0 is equal to 1.

Now, let's simplify the expression step by step:

\(e^{ln(5x)\)

Using property 1,\(e^{ln(5x)\) simplifies to:

5x

Therefore, the correct option is "5x."

The expression \(e^{ln(5x)\) evaluates to 5x after simplification.

Option: A is correct.

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\( \large \mathfrak{Solution : }\)

Let's factorise :

now there are three cases :

1. when, x - 6 = 0

2. when x - 3 = 0

3. when x = 0

i hope it helped...

Answer:

x=0,3,6

Step-by-step explanation:

x³-9x²+18x=0

x(x²-9x+18)=0

x[x²-3x-6x+18]=0

x[x(x-3)-6(x-3)]=0

x(x-3)(x-6)=0

x=0,3,6

The hypotheses for the test are H₀: σ₁² = σ₂² and H₁: σ₁² ≠ σ₂². This is a two-tailed test to assess if there is a difference in the standard deviations of sound levels between the areas designated as "casualty doors" and operating theaters. The claim being investigated is whether or not there is a difference in the standard deviations.

The hypotheses for the test are:

H₀: σ₁² = σ₂² (There is no difference in the standard deviations of the sound levels between the areas designated as "casualty doors" and operating theaters.)

H₁: σ₁² ≠ σ₂² (There is a difference in the standard deviations of the sound levels between the areas designated as "casualty doors" and operating theaters.)

This hypothesis test is a two-tailed test because the alternative hypothesis is not specifying a direction of difference.

To substantiate the claim that there is a difference in the standard deviations, we will conduct a two-sample F-test at a significance level of 0.10, comparing the variances of the two groups.

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The statement that best describes "The P-value is compared to the level of significance, and when the P-value is less than the level of significance, the null hypothesis is rejected."

In hypothesis testing, the P-value is the probability of obtaining a test statistic as extreme as, or more extreme than, the observed value, assuming the null hypothesis is true. The level of significance, often denoted as α, is predetermined before conducting the test and represents the threshold for rejecting the null hypothesis.

If the P-value is less than α, it indicates that the observed data is unlikely to occur under the assumption that the null hypothesis is true. Therefore, the evidence favors rejecting the null hypothesis and accepting the alternative hypothesis. On the other hand, if the P-value is greater than α, there is insufficient evidence to reject the null hypothesis, and the results are not considered statistically significant.

Regarding the second question, the null hypothesis is typically a statement that there is no significant difference or relationship between variables, such as the mean being equal to zero or the proportion or means being the same as before the study.

Regarding the third question, an error in a test that fails to reject the null hypothesis is referred to as a Type II error.

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Answer: 170

Step-by-step explanation:

First, we need to do multiplication.

-50 x -2 = 100 because 2 negatives make a positive.

70 + 100 = 170.

The Molar mass = 2. 9 ×10⁻⁷ g/mol

The general ideal gas law is written as;

PV = nRT

such that the parameters of the formula are expressed as;

Now, substitute the values, we have;

0. 005 × 0. 01 = n ×8.314 ×296.25

Multiply the values, we have that;

n = 2.2 ×10⁻⁸mol

Then, we have that;

n = mass/molar

2.2 ×10⁻⁸/0. 075 = molar mass

Divide the values

Molar mass = 2. 9 ×10⁻⁷ g/mol

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Answer:

0.583

Step-by-step explanation:

We know that

\(\frac{7}{12}\)

is the same as

7÷12

Then using

Long Division for 7 divided by 12

and rounding to a Max of 3 Decimal Places gives us

=0.583

Answer:

Answer is below

Step-by-step explanation:

Answer:

u just multiply7×5t

=35t

24 times does she fill the measuring spoon.

Counting Teaspoons, If you have metric measuring tools, such as a measuring jug or even a clean medication cap, you may make a rapid measurement that way since a teaspoon is 5ml.

Otherwise, the distance between the first knuckle and the tip of your index finger is almost equivalent to one teaspoon.

measuring spoons are useful instruments for sizing down components like vanilla extract, spices, baking powder, and baking soda.

They function in the same manner as a dry measuring cup.

teaspoon is 5ml.

5 * 8 = 40 ml

3 teaspoon = 1 spoon

3* 8 = 24

24 times does she fill the measuring spoon

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\([Hello,BrainlyUser]\)

Answer:

20

Step-by-step explanation:

To Find the Median do the following below;

16, 16, 16, 19, 20, 22, 23, 24, 24

16, 16, 16, 19, 20, 22, 23, 24, 24

16, 16, 16, 19, 20, 22, 23, 24, 24

16, 16, 16, 19, 20, 22, 23, 24, 24

Thus, Median is 20.

[CloudBreeze]

Answer:

20 no explanation

Answer:

Equal

Step-by-step explanation:

After dilation, the shape of the original figure is maintaine. Only the size changes.

Consequently, the side lengths of both figures would be proportional to each other. This implies that the ratios of the corresponding side lengths of the original figure and the new figure would be equal.

Answer:

Centimeters are smaller than kilometers

Step-by-step explanation:

Remember:

Answer: 8

Step-by-step explanation: Given:

Total money Jervane can spend = $20.

Cost of a coffee = $3.

Cost of a donut = $2.

To find: Maximum number of donuts Jervane can buy.

Solution:

Let the number of donuts she can buy be .

She wants to spend no more than $20 in total.

So,

As the number of donuts can only be a natural number.

Hence, the maximum number of donuts that Jervane can buy are 8.

1)

\(\frac{d^2 - 9}{d^2 - 7d + 12} = \frac{(d - 3)(d + 3)}{(d - 3)(d - 4)} = \frac{d + 3}{d - 4}\)

2)

\(\frac{m^2 + 2mn + n^2}{m^2 - n^2} = \frac{(m + n)(m + n)}{(m - n)(m + n)} = \frac{m + n}{m - n}\)

3)

\(\frac{x^2 + xy - 6y^2}{x^2 - 3xy + 2y^2} = \frac{(x + 3y)(x - 2y)}{(x - y)(x - 2y)} = \frac{x + 3y}{x - y}\)

1. \( \bf \dfrac{ {d}^{2} - 9 }{ {d}^{2} - 7d + 12 } \)

\( \tt : \implies \dfrac{ {d}^{2} - (3)^{2} }{ {d}^{2} - 3d - 4d + 12 } \)

By using identinty a² - b² = (a + b)(a - b) in numerator and splitting method in denominator :

\( \tt : \implies \dfrac{ (d+3)(d-3) }{ {d}^{2} - 3d - 4d + 12 } \)

\( \tt : \implies \dfrac{ (d+3)(d-3) }{d(d - 3) - 4(d - 3)} \)

\( \tt : \implies \dfrac{ (d+3)\cancel{(d-3)} }{\cancel{(d - 3)}(d - 4)} \)

\( \tt : \implies \dfrac{d+3}{d - 4} \)

Hence, answer is \( \boxed{\bf \dfrac{d+3}{d - 4} }\)

________________________________

2. \( \bf \dfrac{ {m}^{2} + 2mn + {n}^{2} }{ {m}^{2} - {n}^{2} } \)

By using identinty a² + 2ab + b² = (a + b)² in numerator and a² - n² = (a + b)(a - b) in denominator :

\( \tt : \implies \dfrac{(m+n)^{2}}{(m+n)(m-n)}\)

\( \tt : \implies \dfrac{\cancel{(m+n)}(m+n)}{\cancel{(m+n)}(m-n)}\)

\( \tt : \implies \dfrac{m+n}{m-n}\)

Hence, answer is \( \boxed{\bf \dfrac{m+n}{m-n}}\)

________________________________

3. \( \bf \dfrac{{x}^{2} + xy - 6{y}^{2}}{{x}^{2} - 3xy + 2{y}^{2}}\)

By using splitting method in both numerator and denominator :

\( \tt : \implies \dfrac{{x}^{2} + 3xy - 2xy - 6{y}^{2}}{{x}^{2} - xy - 2xy + 2{y}^{2}}\)

\( \tt : \implies \dfrac{x(x + 3y) - 2y(x + 3y)}{x(x - y) - 2y(x - y)}\)

\( \tt : \implies \dfrac{\cancel{(x-2y)}(x + 3y)}{\cancel{(x-2y)}(x - y)}\)

\( \tt : \implies \dfrac{x + 3y}{x - y}\)

Hence, answer is \( \boxed{\bf \dfrac{x + 3y}{x - y}}\)

The Variance for the number of people catching a cold is; 24

This is a binomial distribution problem and we know that a success will occur when a person catches a cold during the cold and flu season.

We are told that the probability that a person catches a cold during the cold and flu season is 0.4.

Thus;

Probability of a success; p = 0.4.

Let X be the number of successes in 10 people

Sample size; n = 10

The formula to find the variance of this binomial distribution is;

Var[X] = σ² = np(1 − p)

Plugging in the relevant values for n and p gives;

(10 * 0.4)(1 - 0.4) = 24

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Answer:

A

Step-by-step explanation:

From what we have , it is expected that the parent function is a v-shaped graph that starts from the origin

The expected equation parent function should be;

y = |x|

Now, moving on, the transformed function is 1/2 of the parent function

This shows a direct compression of the initial partner function

So, it is expected that the transformed function is more compressed compared to the initial parent function

so, the correct choice of answer here is first option

The Answer is Graph D

You can see the graph number on the top left corner of each multiple-choice graph.

Answer:

he dividend number is 80, the number used to divide another number is 10 and the result of the dividing two number is 8.

Step-by-step explanation:

The p-value can be found with the F-distribution table or statistical software. If the p-value is less than or equal to α, then answer is option (a),If the p-value is greater than α, then answer is option (b).

To determine the correct statistical decision based on the given F-statistic, F (3, 12) = 2.72, we need additional information such as the significance level (α) of the hypothesis test. The significance level is a predetermined threshold that is used to assess the statistical significance of the results.

The correct decision depends on whether the calculated p-value, which quantifies the strength of evidence against the null hypothesis, is less than or equal to the significance level (α).

To find the p-value, you would need the F-distribution table or statistical software.

Once you have the p-value, you can compare it to the significance level (α) to make a decision:

If the p-value is less than or equal to α, you would reject the null hypothesis, indicating a statistically significant mean difference.

If the p-value is greater than α, you would fail to reject the null hypothesis, suggesting that there is not a statistically significant mean difference.

Therefore, without the significance level or the p-value, it is not possible to determine the correct statistical decision.

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The probability that the artist chosen will be a painter or a photographer is 3/4

Probability is the function that measures the chances that an outcome of a random event will be as expected. In this way you can measure how likely it is that an event will happen.

To solve this exercise the formula and the procedure that we have to use for probability is:

probability= (achieving success / possible outcomes)

Achieving success = 7 painters + 5 photographer = 12

Possible outcomes = 7 painters + 5 photographer + 4 sculptors = 16

Applying the formula to calculate the probability we get:

probability= (achieving success / possible outcomes)

probability= 12/16

Simplifying:

probability= 3/4

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Step 1

Given;

Required; To find f(x) if x=1

Step 2

A) Substitute x=1 in f(x)

Answer;

Step 3

C) Using the information in the previous​ step, list the​ point(s) on the graph of​ f, where x=1.

Answers;