If you are testing hypotheses and you find p-value which gives you an acceptance of the alternative hypotheses for a 1% significance level, then all other things being the same you would also get an acceptance of the alternative hypothesis for a 5% significance level.

True

False

The solution is given below.

An equation is a  mathematical statement that is made up of two expressions connected by an equal sign.  In its simplest form in algebra, the definition of an equation is a mathematical statement that shows that two mathematical expressions are equal. For instance, 3x + 5 = 14 is an equation, in which 3x + 5 and 14 are two expressions separated by an 'equal' sign.

here, we have,

The perimeter of a rectangle is 40 cm. The length is 14 cm.

Let x = width of the rectangle.

Ravi says he can find the width using the equation 2(x + 14) = 40.

Fran says she can find the width using the equation 2x + 28 = 40.

now, we get,

1. Divide both sides by 2

 2(x+14) = 40

 x+14 = 20

2. Isolate the x term by subtracting 14 from both sides

3. x = 6. The width of the triangle is 6 cm.

4. Isolate the x term by subtracting 28 from both sides

 2x + 28 = 40

 2x = 12

5. Divide both sides by 2

6. x = 6

7. The two equations have the same solution, because by the distributive rule, 2(x+14) = 2x+28.

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Answer:

slope is 3/5

Step-by-step explanation:

-10-2/-16-4

12/20

6/10

3/5

Answer:

I think its 5 feet

Step-by-step explanation:

I used Pythagorean theorem

In the case of the given student question, approximately 95.4% of the values of a normal random variable are within two standard deviations of its mean.

For a normal distribution, approximately 95.4% of values lie within two standard deviations of the mean.

This is a well-known statistical rule, referred to as the 68-95-99.7 rule or the empirical rule.

It states that in a normal distribution:

68% of values fall within one standard deviation of the mean 95% of values fall within two standard deviations of the mean 99.7% of values fall within three standard deviations of the mean

Therefore, in the case of the given student question, approximately 95.4% of the values of a normal random variable are within two standard deviations of its mean.

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The statement that is true if the four triangles are similar to each other is: <X is congruent to <K.

Similar triangles are geometric figures that have the same shape but may differ in size. In other words, their corresponding angles are equal, and the ratios of their corresponding sides are proportional.

More formally, two triangles are considered similar if their corresponding angles are congruent and their corresponding sides are in proportion.

Given that the four triangles in the image are similar to each other, therefore the given statement that must be true is:

angle X is congruent to angle K.

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Answer:

Three digit number to be divisible by 5 , the last digit should be 5 or 0

_ _ _5

Two remaining places can be filled in 4×3=12

_ _ _0

Two remaining places can be filled in 3×3=9 (0 cannot be filled in the first place, it will become 2 digit number).

Total =12+9=21

Answer:

height = 15 cm

Step-by-step explanation:

Base area of a prism B = hw where h = height, w = width

So B = lw = 200 cm²

Volume V = lwh = 3000 cm³

V/B = lwh/lw = h

h = 3000cm³/200cm = 15 cm

Nakeisha sold 8 lollipops and 5 fruit snacks to make a total of $18.25.

Let's fix this issue using a set of equations. Assume that x is the quantity of lollipops sold and y is the quantity of fruit snacks sold.

Then we have two equations based on the information given:

x + y = 13.(Total number of fruit snacks and lollipops sold)

1.5x + 1.25y= 18.25 (total amount of money earned)  

To solve for x and y, we can use the substitution method :

x + y = 13 (equation 1)

1.5x + 1.25y = 18.25 (equation 2)

From equation 1, we have x = 13 - y. Substituting this into equation 2, we get:

1.5(13 - y) + 1.25y = 18.25

Simplifying and solving for y, we get

19.5 - 0.25y = 18.25

-0.25y = -1.25

y = 5

Nakeisha therefore sold 5 fruit treats. We may change y = 5 into equation 1 and solve for x to get the quantity of lollipops sold:

x + 5 = 13

x = 8

Therefore, Nakeisha sold 8 lollipops and 5 fruit snacks to make a total of $18.25.

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Answer:

The percentile rank of someone who earns $75,000 per year is the 85th percentile.

Step-by-step explanation:

Meaning of percentile:

When a value V is said to be in the xth percentile of a set, x% of the values in the set are lower than V and (100-x)% of the values in the set are higher than V.

In this question:

Working population of 10,500

8,925 people earn less than $75,000 per year.

8925/10500 = 0.85

0.85*100 = 85

The percentile rank of someone who earns $75,000 per year is the 85th percentile.

Statistical hypothesis testing employs the null and alternate hypotheses.

The alternative hypothesis of a test expresses the prediction of an effect or relationship based on your study, while the null hypothesis of the test does not yet predict an effect or an association between the variables.

A statement that there is no relationship between two variables is called a null hypothesis. Another hypothesis is that the two variables are statistically correlated.

Alternative unilateral (directional) or the bilateral (non-directional) hypotheses are also possible. Simple, complex, true, and false are the four main categories of null hypotheses. If the p-value is greater than the statistical significance level, null hypothesis is preferred.

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Answer:

328 metros

Step-by-step explanation:

Aquí, estamos interesados ​​en colocar un bucle alrededor de un campo de fútbol de la escuela de manera que sea imposible que alguien pueda acceder al campo.

Matemáticamente, la longitud de este bucle sería igual al perímetro del campo.

El perímetro del campo rectangular se puede calcular usando la fórmula; 2 (L + B)

En este caso tenemos; P = 2 (100 + 64)

P = 2 (164)

P = 328 metros La longitud del bucle es de 328 metros.

Answer:

-2

Step-by-step explanation:

Note that slope-intercept form looks like: y = mx + b

In this case, isolate the y. Note the equal sign, what you do to one side, you do to the other. Subtract 2x from both sides:

2x (-2x) + y = 6 (-2x)

y = -2x + 6

Note in the slope-intercept form: y = mx + b

y = y

m = slope

x = x

b = y-intercept

In this case, your slope is -2. All lines parallel to the given equation will also have a slope of-2.

~

Card B is a better deal than Card A when the total annual purchases exceed $4,750. This is because the additional 0.5% cash back on Card B compensates for the $95 annual fee.

To determine when Card B becomes a better deal than Card A, we need to compare the cashback earnings of both cards and take into account the annual fee of Card B.Card A offers a flat 1.5% cash back on every purchase, while Card B offers a higher 2% cash back but also has a $95 annual fee.

To find the break-even point, we need to calculate the difference in cash-back earnings between the two cards and equate it to the annual fee:

2% - 1.5% = 0.5% cash back difference

To cover the $95 annual fee, the total annual purchases must generate an additional 0.5% cash back compared to Card A:

0.5% of x = $95

Solving for x, we find that the total annual purchases must exceed $4,750 for Card B to be a better deal than Card A. At this threshold, the additional 0.5% cash back on Card B compensates for the annual fee, making it a more advantageous option for the cardholder.

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An ice cream shop has 10 flavors and one can choose 4 different flavors. The question asks for the total number of possible flavor combinations.Therefore, we need to find the number of ways in which 4 flavors can be chosen from 10 flavors.

In such cases where order does not matter and repetitions are not allowed, we can use the formula for combinations which is as follows:C(n, r) = n! / (r! (n - r)!)Where n is the total number of items, r is the number of items being chosen at a time and ! represents the factorial function.

Using this formula we can find the total number of possible flavor combinations. Substituting the values in the above formula, we get:C(10, 4) = 10! / (4! (10 - 4)!)C(10, 4) = (10 * 9 * 8 * 7) / (4 * 3 * 2 * 1)C(10, 4) = 210Hence, there are 210 possible flavor combinations when one can choose 4 different flavors

.Explanation:The formula to be used for this type of question is combination. Combination is the method of selecting objects from a set, typically without replacement (without putting the same item back into the set) and where order does not matter. The formula for combination is given by C(n,r)=n!/(r!(n-r)!).

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The probability that to total time to wash and condition a customer's hair will take longer more than 5 minutes is  0.63341

In this question we have been given that at supercuts, washing a customer's hair takes an average of 3. 5 minutes with a standard deviation

of 1. 2 minutes. Applying conditioner takes an average of 2. 1 minutes with a standard deviation of. 75 minutes.

μ1 = 3.5, μ2 = 2.1

σ1 = 1.2, σ2 = 0.75

The mean of the sum of the two random variables would be,

μ = μ1 + μ2

μ = 3.5 + 2.1

μ = 5.6

The Standard Deviation of the Sum of Two Independent Random Variables would be,

σ = √(σ1)² + (σ2)²

σ = √(1.2)² + (0.75)²

σ = 1.76

The probability that to total time to wash and condition a customer's hair will take longer more than 5 minutes.

i.e., P(x > 5)

First we find the z-score.

z = X - μ/σ

z = 5 - 5.6/1.76

z = -0.34091

P-value from Z-Table:

P(x<5) = 0.36659

So, P(x>5) = 1 - P(x<5)

                 = 0.63341

Therefore, the required probability is  0.63341

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Answer:

3/10

Step-by-step explanation:

There are 52 cards in a deck. This means that there are four of each one. If all types of all three cards are removed, there are still 40 cards. There are 12 face cards. 12/40 is 3/10

Answer:

3/13

Step-by-step explanation:

Total cards in a deck=52

There are four cards of each number which in this case is 2,3,4

Total of 2s,3s,and 4s=12

12/52 simplify this and u get

3/13

Hope this helps u

Answer:

1000.

Step-by-step explanation:

The Value of the 2 in 204.75, is 200.

The Value of the 2 in 103.52 is 0.02.

So to make the 0.02 become 200, you have to move the decimal point 3 spaces to the right.

Therefore, the 2 in 204.75 is 1000 times greater than the value of the 2 in 103.52.

I hope this helps!

The value assigned to the variable iResult as a result of the statement int iResult = 10 + 56 / 5 + 3 % 12; will be 11.

To understand how this value is determined, let's break down the statement step by step:

1. 56 / 5 is the first operation. The division operation `/` calculates the quotient of 56 divided by 5, which is 11.

2. Next, we have 3 % 12. The modulus operation `%` calculates the remainder when 3 is divided by 12. In this case, the remainder is 3.

3. Finally, we add the results of the previous two operations: 10 + 11 + 3. The addition operation `+` adds the numbers together, resulting in 24.

Therefore, the value assigned to the variable iResult will be 11. I hope this helps! Let me know if you have any further questions.

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Answer:

for -3/4 it is -0.65 and for -1/2 it is -3/5

15% of 850 is 127.5 and therefore the laptop would be reduced by 127.50

The sale price of the laptop is 722.50

Answer:

y=2

Step-by-step explanation:

y+7=9(y-1)

y+7=9y-9

16=8y

2=y

The probability that at most 1 student is a sports fan is 0.9143.

Let us consider a binomial distribution,

where p = 5/100 = 0.05, q = 1 - 0.05 = 0.95, n = 10

We are required to find the probability of at most 1 student being a sports fan

P (x ≤ 1) = P (x = 0) + P (x = 1)P (x = 0)

= \(nCx * p^x * q^(n-x)P (x = 0) = 10C0 * 0.05^0 * 0.95^10P (x = 0) = 0.5987369392P (x = 1) = nCx * p^x * q^(n-x)P (x = 1) = 10C1 * 0.05^1 * 0.95^9P (x = 1)\)

= 0.3155915129P (x ≤ 1) = P (x = 0) + P (x = 1)P (x ≤ 1)

= 0.5987369392 + 0.3155915129P (x ≤ 1)

= 0.9143284521

Therefore, the probability that at most 1 student is a sports fan is 0.9143.

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Step-by-step explanation: In order to factor an integer (the 8 in the fraction 1/8) we need to repeatedly divide it by the ascending sequence of primes (2, 3, 5)

The number that each prime divides the original integer becomes it's exponent in the final result.

In the example: \(\frac{1}{8} x+16\)

Prime number 2 to the power of 3 equals 8.

\(\frac{1}{2^3} x+16\)

Now, we need to perform a multiplication. The following rule is applied: \(\frac{A}{B} C=\frac{AC}{B}\)

In the example: \(\frac{1}{2^3} x+16\)

The new factors in the numerator are: 1x.

Notice that all non-fractions are placed in the numerator.

The factors in the new denominator are: \(2^3\)

\(\frac{x}{2^3} +16\)

Now, we need to add the fractions. We use this rule: \(\frac{A}{B} +\frac{C}{D} =\frac{\frac{LCD}{B}A+\frac{LCD}{D}C }{LCD}\)

The example involved 2 terms. \(\frac{x}{2^3} +16\)

Note that 1 non-fractional term are treated as fractions with a denominator equal to 1.

The LCD is: \(2^3\)

\(\frac{x}{2^3} +16\)changes to\(\frac{x+(2^3)16}{2^3}\)

We need to evaluate a power by multiplying the base by itself as many times as the exponent indicates.

In the example: \(\frac{x+(2^3)16}{2^3}\)  (the one in parenthesis)

Base 2 will be multiplied by itself 3 times.

2 x 2 x 2 = 8 (\(2^3\) = 8)

\(\frac{x+8\times16}{2^3}\) (Notice that \(2^3\) is now 8 in the fraction.)

Lastly, we multiply the 8 by 16 in the fraction, \(\frac{x+8\times16}{2^3}\)

8 x 16 = 128

\(\frac{x+128}{2^3}\) (Notice that 8 x 16 is now 128 in the fraction)

Therefore, your answer is: \(\frac{x+128}{2^3}\)

Answer:

Step-by-step explanation:

Basically 3/8 "times" 2

The equations

8/2 = 4

So it will be 3/4

Answer:

No, 5 + 3(1 - x) is NOT  equivalent to 8 - 8x.

Step-by-step explanation:

To see if they are equivalent to each other, we first need to simplify the first expression:

5 + 3(1 - x)

Distribute the 3 into the parenthesis:

5 + 3 -3x

Combine like terms:

8 - 3x

No, 5 + 3(1 - x) is NOT  equivalent to 8 - 8x.

Step-by-step explanation:

Original x-value = 21

New x-value = 21 * (-1/7) = -3.

Original y-value = 28

New y-value = 28 * (-1/7) = -4.

Hence the coordinates of the new point is (-3,-4).

Answer:

Original value of x-axis =21

New value of x-axis = 21×(-1/7) = -3

Original value of y-axis =28

New value of y-axis = 28×(-1/7) = -4

Hence, the new coordinate is (-3,-4).

The integer that represents the change in the worker's position is -43, indicating a downward movement of 43 feet.

The worker in the silver mine descended 43 feet, and the change in the worker's position can be represented by the integer -43.
When we use integers to represent positions, negative values indicate downward movement. In this case, the negative value -43 indicates that the worker moved downwards by 43 feet.
To better understand this concept, let's consider a number line. Imagine that the starting position is 0, and moving to the right represents going upwards while moving to the left represents going downwards.
If the worker descends 43 feet, they would move to the left on the number line by 43 units. This can be represented as -43.
It's important to note that in the context of this question, the worker's change in position is represented by a negative value because they moved downwards.
In summary, the integer that represents the change in the worker's position is -43, indicating a downward movement of 43 feet.

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Answer:

$36.35

Step-by-step explanation:

First, add -20.85 to 15.50:

20.85+15.50=36.35

Next, check to see if your answer is right:

36.35-20.85=15.50

or

36.35-15.50=20.85

Bam

the final equivalent expression is 2(a - 1) / 3a2 for the expression 3a2-6a/3a3 can be simplified by factoring out the greatest common factor in the numerator and denominator.

The greatest common factor of the numerator is 3a, which can be factored out as follows:

3a(2a - 2) / 3a(3a2)

The 3a in the numerator and denominator cancel out, leaving:

2a - 2 / 3a2

Therefore, the expression is equivalent to (2a - 2) / (3a2).

This expression can be further simplified by factoring out a 2 in the numerator:

2(a - 1) / 3a2

So, the final equivalent expression is 2(a - 1) / 3a2.

In summary, the expression 3a2-6a/3a3 simplifies to 2(a - 1) / 3a2, which is the same as 2a - 2 / 3a2 after factoring out the greatest common factor. It is important to note that we assume the denominator does not equal zero because division by zero is undefined and not a valid mathematical operation.

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look at the step by step explanation.

Step-by-step explanation:

Triangle inequality theorem - the sum of the two shorter sides has to be greater than the longest side, which is 8. This is not possible because the sum of the two shorter sides is 8 which is not greater than the longest side.

Answer:

Complicated answer.

Step-by-step explanation:

So, if one side length is 8 the perimeter of a triangle cannot be 16 this is because a triangle has three sides and 8 multiplied by three would not be 16 so we have two possible conclusions.

1. The perimeter is actually 24

2. The side lengths are actually 4

Hope I helped! Have a silver dollar day! :) Please give me brainliest! Thanks Adios!