If f(x)=3x-7, find f(5). *

Q.2: A review of the t-test on the significance of individual independent variable suggests that, based on the p-values. None of the independent variables could be retained. This is because if the p-value is high, it means the significance is low.

Q3: Choose the right option below. Based on the full regression model involving all of the independent variables. VIF for Size = 5.3352, VIF for Fireplace = 10.1873, VIF for bedrooms = 2.7885.

Q.4: Based on VIF values, there is concern for collinearity in this dataset. True

Q5: Based on the normal probability plot, the normality assumption seems to be met. True

Q7: Based on conducting residual analysis the model seems. Adequate.

Learn more about independent variable at

https://brainly.com/question/7228371

#SPJ11

40 children attended the show.

To find the number of children who attended the show, we need to determine the proportion of children in the total attendance.

Given that the ratio of adults to children is 5 to 1, we can represent this as:

Adults : Children = 5 : 1

Let's assume the number of children is represented by 'x'. Since the ratio of adults to children is 5 to 1, the number of adults can be calculated as 5 times the number of children:

Number of adults = 5x

The total attendance is the sum of adults and children, which is given as 240:

Number of adults + Number of children = 240

Substituting the value of the number of adults (5x) into the equation:

5x + x = 240

Combining like terms:

6x = 240

Solving for 'x' by dividing both sides of the equation by 6:

x = 240 / 6

x = 40

Therefore, 40 children attended the show.

Learn more about   the show. from

https://brainly.com/question/27710307

#SPJ11

Answer:

D) 394.68cm^2

Step-by-step explanation:

Area of a parallelogram is calculated by multiplying height to the base

13.8 × 28.6 = 394.68

Answer:

area of parallelogram= length of base × perpendicular height

28.6×13.8

= 394.68m²

Answer:

Hey!

Step-by-step explanation:

Your answer would be 1/8

Have a nice day!♥

And ty XD

Using trigonometry, we can solve for the missing angles to find them as 18.43°, 45°, 45°, and 18.43°.

The sign is mounted on a sloped surface, which means that we'll need to use some trigonometry to find the missing angles.

Let's concentrate on the sign's upper right corner, where the letters x and y are absent from two perspectives. The magnitude of angle x may be determined using trigonometry.

Let's begin by sketching a right triangle that has an angle x. The triangle's two sides may be represented by the sign's vertical and horizontal lines, with the addition of a third side to join the top right corner of the sign to the sloping area below.

Since the sign is an octagon, we know that each interior angle is 135°. Therefore, the measure of angle y must be:

y = 180 - 135 = 45°

Now, let's look at the right triangle that includes angle x. We know that the hypotenuse of the triangle is the sloped surface of the sign, which has a length of 4.5 meters. We also know that the opposite side of the triangle is the height of the sign above the ground, which has a length of 1.5 meters.

Using trigonometry, we can find the measure of angle x by taking the inverse tangent of the opposite side over the adjacent side:

tan(x) = opposite/adjacent = 1.5/4.5 = 1/3

x = tan⁻¹(1/3) ≈ 18.43°

Therefore, the measure of angle x is approximately 18.43 degrees.

Hence, using trigonometry, we can solve for the missing angles to find them as 18.43°, 45°, 45°, and 18.43°.

To learn more about trigonometry, refer to:

https://brainly.in/question/2685053

#SPJ4

Given:

A figure of a triangle.

To find:

The measure of angle A.

Solution:

Label the points in the figure as shown below.

In the below figure,

\(\angle ACB\cong \angle DCE\)            (Vertically opposite angles)

\(m\angle ACB=m\angle DCE\)              (Congregant angles)

\(m\angle ACB=8x+4\)

Using exterior angle theorem in triangle ABC, we get

\(m\angle A+m\angle C=\text{Exterior }m\angle B\)

\(m\angle BAC+m\angle ACB=130^\circ\)

\((3x-6)+(8x+4)=130^\circ\)

\(11x-2=130^\circ\)

Isolate the variable term x.

\(11x=130^\circ+2\)

\(11x=132^\circ\)

\(x=\dfrac{132^\circ}{11}\)

\(x=12^\circ\)

Now, the measure of angle A is:

\(m\angle A=3x-6\)

\(m\angle A=3(12^\circ)-6\)

\(m\angle A=36^\circ-6\)

\(m\angle A=30^\circ\)

Therefore, the correct option is B.

The equation of line d that is perpendicular to line c is: y = 7/3x - 2/3.

Perpendicular lines have slope values, whose product is equal to -1, that is, they are negative reciprocals to each other. An equation in slope-intercept form is often written for a line as y = mx + b, where m = slope and b = y-intercept.

The slope of y - 3/7x + 4 is -3/7. The negative reciprocal of -3/7 is 7/3. Therefore, the slope (m) of the perpendicular line d is 7/3.

Substitute m = 7/3 and (x, y) = (2, 4) into y = mx + b to find the value of b (y-intercept of the line):

4 = 7/3(2) + b

4 = 14/3 + b

-14/3 + 4 = b

(-14 + 12)/3 = b

-2/3 = b

b = -2/3.

To write the equation of line d, substitute m = 7/3 and b = -2/3 into y = mx + b:

y = 7/3x - 2/3

Learn more about equation of perpendicular line on:

https://brainly.com/question/7098341

#SPJ1

The probability that the ace of spades will be revealed before any face card (the jack, queen, or king) is 0.0769.

Probability refers to potential.This branch of mathematics deals with the occurrence of a random event. The value's range is 0 to 1. Probability has been applied into mathematics to predict the likelihood of different events.

The likelihood is based on the range of potential outcomes. the total number of possible outcomes. As an illustration, since there is only one way to get a head and a total of two possible results, the likelihood of flipping a coin and getting heads is one in two. a tail or a head.

According to given data;

Let's look at the first few probabilities; we're going to do this in reverse order, in order to find a pattern:

P(O,O,O,AS)=39/52)*(38/51)*(37/50)*(1/49)

                  =(39*38*37/3!)/(52*51*50/3!)*1/49

P(O,O,AS)=(39/3)(52/3)×1/49

        but we know that;

(n/2)=n(n-1)/2!

P,(O,O,AS) =(39/2)/(52/2)  *1/50

P(AS)=(39/0)/(52/0) *(1/52)

We now have

P(AS)+P(O,AS)+P(O,O,AS)+P(O,O,O,AS)

FROM THIS CALCULATE ;

P=0.0769

To know more about probability visit;

https://brainly.com/question/12629667

#SPJ9

With Alpha set to .05, increasing the sample size would not directly reduce the probability of a Type I error. The probability of a Type I error is determined by the significance level (Alpha) and remains constant regardless of the sample size.

However, increasing the sample size can indirectly affect the probability of a Type I error by increasing the statistical power of the test. With a larger sample size, it becomes easier to detect a statistically significant difference between groups, reducing the likelihood of falsely rejecting the null hypothesis (Type I error).

Increasing the sample size generally decreases the probability of a Type II error, which is failing to reject a false null hypothesis. With a larger sample size, the test becomes more sensitive and has a higher likelihood of detecting a true effect if one exists, reducing the likelihood of a Type II error. However, it's important to note that other factors such as the effect size, variability, and statistical power also play a role in determining the probability of a Type II error.

Learn more about Alpha  here:

https://brainly.com/question/30447633

#SPJ11

Answer:

$177.41

Step-by-step explanation:

when it says 32% OF , of always means multiply in word problems so we multiple 132% (1.32) times 134.40

$177.41

Answer:

420

Step-by-step explanation:

32% of its original price

32%=134.40

100%=?

cross multiply

100/100 x 134.40 × 100/32

1×134.40×3.125

=420

Jon surveyed the members of the football team in his school to gather their preferences regarding the school mascot.

In this scenario, Jon specifically targeted the members of the football team when conducting the survey. He surveyed only the individuals who are part of the football team and did not include other students or groups in his sample. By focusing solely on the football team, Jon aimed to gather the preferences and opinions of this particular group regarding the school mascot. This targeted approach allowed Jon to obtain insights specifically from the football team members, which may be relevant for decisions related to the school mascot.

To learn more about survey click here: brainly.com/question/30392577 #SPJ11

The electrical force derived from the electrical potential does not have a rotational component as it is a conservative force depending only on the spatial gradient of the potential.

The electrical force, given by F = -V∇φ, where V is the charge and φ is the electrical potential, does not have a rotational component.

This is because the electrical force is derived from the gradient (∇) of the electrical potential, which represents the rate of change of the potential in different spatial directions.

In other words, it measures how fast the potential changes along different axes in space.

A rotational component in a force would require a curl (∇ ×) of the potential, indicating a non-conservative force, but in this case, the force is conservative.

Therefore, the electrical force only depends on the spatial gradient of the potential and lacks a rotational component.

Learn more About electrical force from the given link

https://brainly.com/question/30236242

#SPJ11

Answer:

36

Step-by-step explanation:

Using order of operations:

Exponents:

-36(-10)-(324)

Multiply:

360-324

Subtract:

36

Determining whether a function f(x) is constant or balanced with 100% confidence can be achieved through the use of the Deutsch-Jozsa algorithm. This algorithm is a quantum algorithm that can determine whether a function is constant or balanced in a single query, providing a significant speedup compared to classical algorithms.

In contrast, classical algorithms require a worst-case scenario of \(2^{(n-1)} + 1\) steps to determine whether a function is constant or balanced, where n is the number of input bits. This is because, in the worst-case scenario, each input bit would have to be tested individually. The reason for this is that classical algorithms use a trial-and-error approach to determine whether a function is constant or balanced. They will test every possible input combination until a pattern emerges that indicates whether the function is constant or balanced. This process becomes exponentially complex as the number of input bits increases. In contrast, the Deutsch-Jozsa algorithm uses quantum superposition to test all possible input combinations simultaneously, drastically reducing the number of steps required. This algorithm achieves a speedup by exploiting the properties of quantum mechanics, allowing it to solve the problem in a single query. In summary, classical algorithms require a worst-case scenario of \(2^{(n-1)} + 1\) steps to determine whether a function is constant or balanced, while the Deutsch-Jozsa algorithm achieves a significant speedup by using quantum superposition to solve the problem in a single query.

Learn more about algorithm here:

https://brainly.com/question/21364358

#SPJ11

The two-digit positive integers that tens and ones digits are consecutive numbers include 12, 23, 34, 45, 56, 67, 78, and 89.

It should be noted that integers are the whole numbers that can be either positive, negative, or zero.

The two-digit positive integers that the integer is the product of two consecutive numbers will be:

3 × 4 = 12

7 × 8 = 56

Learn more about integers on:

brainly.com/question/17695139

#SPJ1

The two-digit positive integers that tens and one digits are consecutive numbers include 12, 23, 34, 45, 56, 67, 78, and 89.

We have given that,

1. The tens and one's digits are consecutive numbers, and

2. The integer is the product of two consecutive numbers.

It should be noted that integers are the whole numbers that can be either positive, negative, or zero.

The two-digit positive integers that the integer is the product of two consecutive numbers will be:

3 × 4 = 12

7 × 8 = 56

Learn more about integers on:

brainly.com/question/17695139

#SPJ1

Answer: 44 boys and 40 girls

Step-by-step explanation:

x = number of girls

x + 4 = number of boys

x + x + 4 = 84

2x + 4 = 84

2x = 80

x = 40

84 - 40 = 44

The claim that the average of the box equals 20 is not plausible. This can be answered by the concept of standard deviation.

The number of draws made at random with replacement from a box is 100.The average of the draw is 22.7.The SD is 10.Someone claims that the average of the box equals 20.We know that the Central Limit Theorem (CLT) applies to the sample mean since the sample size is greater than or equal to 30.

The z-score can be calculated as follows: z = (X - μ) / (σ/√n)Here, X = Sample Mean = 22.7μ = Population Meanσ = Standard Deviation of Population n = Sample size = 100Now, z = (22.7 - 20) / (10/√100)= 2.7 / 1 = 2.7A z-score of 2.7 means that the sample mean is 2.7 standard deviations above the population mean. Since the z-score is significantly greater than 1.96 (z-score at 5% level of significance), the claim that the average of the box equals 20 is not plausible.

Therefore, we can conclude that the claim that the average of the box equals 20 is not plausible.

To learn more about standard deviation here:

brainly.com/question/13498201#

#SPJ11

Answer:

x = 24

Step-by-step explanation:

\(\frac{x}{8}\) = 3 ( multiply both sides by 8 to clear the fraction )

x = 8 × 3 = 24

Answer: 24

Step-by-step explanation:

x/8 = 3

x = 3x8

x = 24

In this case, we'll have to carry out several steps to find the solution.

Step 01:

Data:

1. 9x² + 3x - 4 = 0

Step 02:

Discriminant:

D = b² - 4ac

9x² + 3x - 4 = 0

a = 9

b = 3

c = - 4

D = (3)² - 4(9)(-4) = 9 + 144 = 153

The answer is:

D = 153

Answer:

Step-by-step explanation:

The possibility of scoring a 4 is 1/5

The possibility of scoring a 5 is 1/5

The possibility of scoring either 4 or a 5 is 2/5

Answer:

Step-by-step explanation:

4(3n- 5) =

12n - 20

Answer:

Step-by-step explanation:

Factorize 125 = 5 * 5 * 5 = 5³

\((125x^{3}*y^{-12})^{\frac{-2}{3}} = (5^{3}x^{3}*y^{-12})^{\frac{-2}{3}}\\\\ = 5^{(3*\frac{-2}{3})}* x^{[3*\frac{-2}{3}]}*y^{-12*\frac{-2}{3}}\\\\= 5^{-2} * x^{-2} * y^{(-4*-2)}\\\\=\frac{1}{5^{2}x^{2}}*y^{8}\\\\=\frac{y^{8}}{25x^{2}}\)

\((a*b)^{m} = a^{m}*b^{m}\\\\a^{-m}=\frac{1}{a^{m}}\)

The product of fractions is a fraction or an integer.

We know that the fraction is used to represent the portion or part of the whole thing.

The fraction has two parts: numerator and denominator.

The top part of fraction is numerator and the bottom part is denominator.

consider a fraction 1/8.

Here, numerator is 1, denominator is 8

When certain thing is divided into 8 equal parts then each part of is represented by fraction1/8

The multiplication of fractions is defined as the product of a fraction with a fraction or the product of a fraction with an integer or the product of a fraction with the variables.

The steps to multiply two fraction are:

First multiply the numerator with numerator

Then Multiply the denominator with the denominator

And lastly simplify the fractions, if required

Learn more about fraction here:

https://brainly.com/question/24638688

#SPJ4

Answer:

\(6\frac{3}{8}\)

Step-by-step explanation:

to multiply fractions turn them into improper fractions and then multiply numerator by numerator and denominator by denominator

-4 1/4*-1 2/4

-17/4*-6/4

102/16

51/8

6 3/8

Hopes this helps please mark brainliest

Answer:

10/3 or 3 1/3

Step-by-step explanation:

-2 1/3=-5/3

-5/3-(-5)

-5/3+5

-5/3+15/3

10/3

answer : -2 1/3 - (-5) = \(2\frac{2}{3}\)

explanation : we need to convert the mixed numbers to improper fractions, then find the LCD and combine.

step 1 : convert the mixed number to an improper fraction

ex: \(-\frac{7}{3}-(-5)\)

step 2 : when there is a - in front of an expression in parentheses, change the sign of each term in the expression

ex : \(-\frac{7}{3}+5\)

step 3 : calculate the sum

ex : \(\frac{8}{3}\)

solution : \(\frac{8}{3}\)

simplify: \(2\frac{2}{3}\)

exact form : \(\frac{8}{3}\)

decimal form : 2.66666666 (repeating)

mixed number form : \(2\frac{2}{3}\)

hope this helps !

- audrey ♡

The probability of 4 defective cell phones in a sample of 25 can be found using the binomial probability formula and is equal to 0.0263.

Probability is a branch of mathematics that deals with calculating the likelihood of a given event occurring. In probability, we calculate the number of ways an event can happen and divide it by the total number of possible outcomes.

Probability ranges from 0 to 1, with 0 indicating no chance of occurrence and 1 indicating that the event will definitely occur.

If there are only two possible outcomes in a given event, the binomial probability formula is used to calculate the probability of the event happening.

The binomial probability formula is given by: P(X = x) = (nCx)px(1 - p)n - x

Where, P(X = x) is the probability of x successes in n trials

nCx is the number of ways x successes can occur in n trials

px is the probability of a single success in a given trial(1 - p)n - x is the probability of the remaining trials being failures.

The probability of 4 defective cell phones in a sample of 25 can be calculated using the binomial probability formula.

P(X = 4) = (25C4)(0.06)4(0.94)21 = 0.0263.

Therefore, the probability of 4 defective cell phones in a sample of 25 is 0.0263.

To know more about probability refer here:

https://brainly.com/question/29110744#

#SPJ11

Answer:

you'd know that annual means yearly, 12 months. if she only gets paid the 1st and 5th of each month, you'd multiply the amount of months she worked (12) by the days she got paid (2). a typical work day consists of working around 8 hours a day. so if you multiply the answer to the month times days paid (24) by the amount of hours worked per day (8), you'd get 192.

so the answer, i believe, would be $192.

hope this helps

Fingerprinting is a technique used by forensic experts and crime scene investigators to identify individuals based on their unique fingerprints. Fingerprints are unique to each individual and have distinct ridge patterns that are used to identify individuals.

It is an effective way of identifying people because fingerprints remain the same throughout a person's life, unlike other physical characteristics.

When fingerprinting a person who is missing fingers, two notations that should be used on the fingerprint card are "amputation" and "absent." The notations on the fingerprint card should indicate that the fingers are missing due to amputation or absence.

Know more about Fingerprinting here:

https://brainly.com/question/3321996

#SPJ11

When fingerprinting a person missing fingers, the two notations that should be used on the fingerprint card are tented arch for a missing middle finger and amputation notation for a completely missing finger.

When fingerprinting a person who is missing fingers, two notations should be used on the fingerprint card:

https://brainly.com/question/34652657

#SPJ12

Step-by-step explanation:

f (x) = 1 - 5x

g (x) = 2x + 3

find (fog) (x)

it's a composite function so basically we substitute x = 2x + 3 where we see x in f (x) = 1 - 5x

so doing that we'll get

1 - 5(2x + 3)

next expand your brackets

1 - 10x + 15

equate to 0 to make things easier

1 - 10x + 15 = 0

make x the subject

1 + 15 = 10x (this is the same as 10x = 1 + 15)

x = 16/10 (you can leave it as a fraction)

fog(x) = 16/10

find gof (x)

we'll do the same thing again

2(1-5x) + 3

2 -10x + 3 = 0

2 + 3 = 10x

10x = 5

x = 5/10 (reduce)

x = 1/2

gof (x) = 1/2