Constant or variable ?

Answer:

yep

Step-by-step explanation:

Answer: Yeah-     I

..................................I

Answer:

99 = 3² * 11

Step-by-step explanation:

99 = 3 * 3 * 11

99 = 3² * 11

99 as a product of primes is, 99 = 3² * 11

In mathematics, multiplication is a method of finding the product of two or more numbers. It is one of the basic arithmetic operations, that we use in everyday life.

here, we have,

To Write 99 as a product of primes,

we get,

99 = 3 * 3 * 11

99 = 3² * 11

Hence, 99 as a product of primes is, 99 = 3² * 11

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Answer:

There are 14 4-point questions and 26 2-point questions.

Step-by-step explanation:

m  = number of 4-point questions

n = number of  2-point questions

m+n =40

4m + 2n =108

You can solve system by elimination:

Multiply the 1st equation by -4 and keep the 2nd equation the same.

−4(m+n=40) → -4m -4n= -160

                       4m+2n=108 add them up

-2n = -52 divide both sides by -2

n = 26

plug it back in to solve for m

m + n = 40 →m + 26 =40 subtract 26 to both sides

m = 14

Answer:

m=14, n=26

Step-by-step explanation:

The dimensions 36 x 27 inches are too small to allow a 48-inch piece of glass to fit through it.

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There are nC2 different votes possible, where n is the number of bands on the list and nC2 represents the number of ways to choose 2 bands out of n.

To calculate nC2, we can use the formula for combinations, which is given by n! / (2! * (n-2)!), where ! represents factorial.

Let's say there are m bands on the list. The number of ways to choose 2 bands out of m can be calculated as m! / (2! * (m-2)!). Simplifying this expression further, we get m * (m-1) / 2.

Therefore, the number of different votes possible is m * (m-1) / 2.

In the given scenario, we don't have the specific number of bands on the list, so we cannot provide an exact number of different votes. However, you can calculate it by substituting the appropriate value of m into the formula m * (m-1) / 2.

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Answer:

Option D is the correct answer

Step-by-step explanation:

\( \frac{8}{( - 2 + 2)} = \frac{8}{0} = undefined \\ \)

\(\begin{cases} x = -3 &\implies x +3=0\\ x = 2 &\implies x -2=0\\ x = 4 &\implies x -4=0\\ \end{cases} \\\\[-0.35em] ~\dotfill\\\\ \stackrel{original~polynomial}{ ( x +3 )( x -2 )( x -4 ) = \stackrel{0}{y}}\implies (x+3)(x^2-6x+8)=y \\\\\\ x^3-6x^2+8x+3x^2-18x+24=y\implies \boxed{x^3-3x^2-10x+24=y}\)

Parallel lines have the same a slope. Therefore if

k: y = 3x - 6 → slope = 3

and l: y = mx + b

l || k ⇔ m = 3

l: y = 3x + b

We have the point (-6, -7). Put the coordinates to the equation:

-7 = 3(-6) + b

-7 = -18 + b    add 18 to both sides

11 = b → b = 11

Answer: y = 3x + 11

Answer:

planet fitness will take one month and total fitness will take 3 months

Step-by-step explanation:

planet fitness:

75

total fitness:

25

50

75

Answer:

New York

Step-by-step explanation:

Answer:

A) 4.3

Step-by-step explanation:

hope this helps!!!

Answer:

D

Step-by-step explanation:

It is a right angled triangle so you can use the SOH-CAH-TOA rules of trigonometry:

We have the hypotenuse and need to find the length adjacent to the angle so use CAH

cos 70 = x / 12

x = 12cos70 = 4.104...

D

There is the not sufficient evidence that the average small business loan is different that the amount stated in the  investment blog.

What is standard deviation?

The standard deviation in statistics is a measurement of how much a group of values can vary or be dispersed. A low standard deviation suggests that values are often close to the set's mean, whereas a large standard deviation suggests that values are dispersed over a wider range.

Here we have given that,

Claim: To check whether the average small business loan is different that the amount stated in the  investment blog.

The hypothesis is,

H0: μ= 20 thousand dollars  Versus  H0: μ ≠ 20 thousand dollars

We have given that,

n= Number of observation = 25

x bar  = sample mean =18.5

S= sample standard deviation =5

Here, population standard deviation is unknown, we use the one sample t test.

t - statistics = (x bar - μ) / (s / √n)

                   = (18.5 - 20) / (5 / √25)

                   = -1.342

we get,

the Test statistic is -1.342

Now we find the P-value

α = level of significance = 0.05

Degrees of freedom = n - 1 = 25 - 1 = 24

This is two tailed test as our interest is to show the population mean is equal or not equal to zero.

Now, we can find the P-value

P-value = 0.1922     Using EXCEL = TDIST( | t-statistics | = 1.342 , D.F=24, tail=2)

Hence, There is the not sufficient evidence that the average small business loan is different that the amount stated in the investment blog.

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The second option shows a pair of triangles which are congruent by the SSS congruence theorem.

The SSS (Side - Side - Side) congruence theorem states that if two triangles have three sides that are congruent to each other, then the two triangles are congruent by the SSS theorem.

The congruent sides for the second option are given as follows:

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Answer:

The claim on the M&M’s website is not true.

Step-by-step explanation:

A Chi-square test for goodness of fit will be used in this case.

The hypothesis can be defined as:

H₀: The observed frequencies are same as the expected frequencies.

Hₐ: The observed frequencies are not same as the expected frequencies.

The test statistic is given as follows:

\(\chi^{2}=\sum\limits^{n}_{i=1}{\frac{(O_{i}-E_{i})^{2}}{E_{i}}}\)

Here,

\(O_{i}\) = Observed frequencies

\(E_{i}=N\times p_{i}\) = Expected frequency.

The chi-square test statistic value is, 14.433.

The degrees of freedom is:

df = k - 1 = 6 - 1 = 5

Compute the p-value as follows:

\(p-value=P(\chi^{2}_{k-1} >14.433) =P(\chi^{2}_{5} >14.433) =0.013\)

*Use a Chi-square table.

The significance level is, α = 0.05.

p-value = 0.013 < α = 0.05.

So, the null hypothesis will be rejected at 5% significance level.

Thus, concluding that the claim on the M&M’s website is not true.

The given numerical value  is a Statistic.

Parameters are numeric values ​​that characterize the population as a whole. A statistic is a number that describes the characteristics of a sample.

For example, median income in the United States is a demographic parameter. Conversely, the median income for the US sample is a sample statistic. Both values ​​represent median income, but one is a parameter to the statistic. Easy to remember parameters and stats! Both are summary values ​​that describe the group, and have a convenient mnemonic device to remind you which group is being described. Notice their initials.

Parameter = Population

Statistics = Sample

A population is the entire group of people, things, animals, trades, etc. that are being studied. A sample is part of a population.

Following the election, 18 % of the governors of all 50 areas of a country were female.

Given that, 18% of the 50areas of a country  were females.

Now,

18*50/100 = 9

Since it is  a perfect number

The given numerical value  is a statistic.

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Answer:

How much was the toddler ticket

(45,5*2)/5 == 18,5$

Step-by-step explanation:

Answer:

Mean deviation of 80, 88, 93, 95 is 5

Step-by-step explanation:

Step 1: find the mean

Mean = Sum of items/ Number of items

Mean = 80+88+93+95 = 356

Mean = 356 / 4 = 89

Step 2: find the mean deviation

Mean Deviation = ∑i = 0n |xi − μ| / N

Mean Deviation = | (89-80) + (89-88) + (89-93) + (89-95) | /4

Mean Deviation = 5

In the Histogram the horizontal line (dimension) represents the value of the selected collection plan element. The vertical line (dimension) represents the count or sum of occurrences of the primary collection element on the horizontal line.

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Answer:

Im pretty sure its 8.

Step-by-step explanation:

32/1 x 1/4= 32/4 = 8

If im right please give me brainliest :)

The two triangles are similar If they have the same shape, but their sizes are different.

Similar triangles are triangles that have the same shape, but their sizes may be same or different. In other words, if two triangles are similar, then their corresponding angles are congruent and corresponding sides are in equal proportion. The similarity of triangles are denoted by ‘~’ symbol

AA (or AAA) or Angle-Angle Similarity

If any two angles of a triangle are equal to any two angles of another triangle, then those two triangles are similar to each other.

SAS or Side-Angle-Side Similarity

If the two sides of a triangle are in the same proportion of the two sides of another triangle, and the angle inscribed between those two sides in both the triangle are equal, then two triangles are said to be similar.

SSS or Side-Side-Side Similarity

If all the three sides of a triangle are in proportion to the three sides of another triangle, then the two triangles are similar.

Therefore, two triangles are similar if they have the same ratio of corresponding sides and equal pair of corresponding angles.

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(3a) The 95% confidence interval of σ\(_{1}^{2}\)/σ\(_{2}^{2}\) is: [0.1932 , 1.2032].

Variance is the anticipated squared deviation of a random variable from its population mean or sample mean in probability theory and statistics.

F test for variances, using F distribution (\(df_{num}\)=19,\(df_{denom}\)=20) (two-tailed) (validation).

Hypotheses

\(H_{0}:sigma_{1} = sigma_{2}\\\\H_{1}:sigma_{1}\neq sigma_{2}\)

1. H0 hypothesis

Since p-value > α, H0 is accepted.

The sample standard deviation (S) of LaJolla.res' population is considered to be equal to the sample standard deviation (S) of Pt.Loma.ke's population.

In other words, the difference between the sample standard deviation (S) of the LaJolla.res and Pt.Loma.ke populations is not big enough to be statistically significant.

2. P-value

The p-value equals 0.1152, ( p(x≤F) = 0.05759 ). It means that the chance of type I error, rejecting a correct \(H_{0}\), is too high: 0.1152 (11.52%).

The larger the p-value the more it supports \(H_{0}\).

3. The statistics

The test statistic F equals 0.4796, which is in the 95% region of acceptance: [0.3986 : 2.4821].

S1/S2=0.69, is in the 95% region of acceptance: [0.6313 : 1.5755].

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Answer:

-2,3

Step-by-step explanation:

Answer:

60 points

Step-by-step explanation:

Every time he earns points we add.

Every time he loses points we subtract.

We can write an equation to resemble the problem and simplify.

45 - 40 + 80 - 25

5 + 80 - 25

85 - 25

60

Best of Luck!

Answer:

Carries earns \(40\) dollars

Step-by-step explanation:

Given -

Tara earns $15 less than three  times what Carrie earns.

Total earning of Tara \(= 105\) dollars

Let  "X" be the earning of Carrie

\(3X - 15 = 105\\3X = 120\\X = 40\)

Carries earns \(40\) dollars

Answer:Use the given functions to set up and simplify

y

e

a

r

.

2009

=

5000

=

4

%

=

0.04

y

e

a

r

=

0.04

y

e

a

r

=

0.04

Step-by-step explanation:

I Think

In fractional form, 98.735 can be expressed as 98 and 735/1000. In decimal form, 98.735 is equivalent to the sum of 90 + 8 + 0.7 + 0.03 + 0.005.

To expand 98.735 in fractional form, we first separate the whole number part, which is 98. The decimal part, 0.735, can be written as 735/1000. This means that 98.735 can be expressed as 98 and 735/1000.

To express 98.735 in decimal form, we can break down the digits. The digit 9 is in the tens place, so it represents 90. The digit 8 is in the units place, so it represents 8. The digit 7 is in the tenths place, so it represents 0.7. The digit 3 is in the hundredths place, so it represents 0.03. Finally, the digit 5 is in the thousandths place, so it represents 0.005. Adding all these values together, we get 90 + 8 + 0.7 + 0.03 + 0.005, which equals 98.735.

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The final expression for the partial effect of x1 on y is 0.85 - 0.4x1 + 0.1x2. To find the partial effect of x1 on y in the given linear regression model, we need to take the derivative of y with respect to x1.

Given the linear regression model:

y = 1 + 0.85x1 - 0.2x1^2 + 0.5x2 + 0.1x1x2 + ε

Taking the derivative of y with respect to x1, we get:

∂y/∂x1 = 0.85 - 0.4x1 + 0.1x2

Therefore, the partial effect of x1 on y is represented by the expression 0.85 - 0.4x1 + 0.1x2.

This means that for every one unit increase in x1, the value of y is expected to change by (0.85 - 0.4x1 + 0.1x2) units, while holding all other variables constant.

It's important to note that the partial effect of x1 on y is not a fixed value but rather a function that depends on the values of x1 and x2. The coefficient of x1 in the linear regression model (0.85) represents the baseline effect, while the terms involving x1^2, x2, and x1x2 capture additional effects that modify the partial effect.

So, the final expression for the partial effect of x1 on y is 0.85 - 0.4x1 + 0.1x2.

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Answer:

1.007, 1.07, 1.7

Step-by-step explanation:

Answer:

1.7,  1.07,  1.007

Step-by-step explanation:

A tenth is greater than a hundredth or a thousandth. A hundredth is greater than a thousandth, and a thousandth is less than both a hundredth and tenth

Answer:

x=10

Step-by-step explanation:

4x=40

x= 40/4

x=10