I need help on this

Answer:

Jodi must score at least 8.8 points.

Step-by-step explanation:

Step 1: Given data

Score 1 (S1): 8.9

Score 2 (S2): 7.1

Score 3 (S3): 9.2

Average (Av): 8.5

Score 4 (S4): ?

Step 2: Calculate the Score 4 so that the average is 8.5

The average is equal to the sum of the scores divided by the number of scores (4).

Av = (S1 + S2 + S3 + S4)/4

4 × Av = S1 + S2 + S3 + S4

S4 = 4 × Av - S1 - S2 - S3

S4 = 4 × 8.5 - 8.9 - 7.1 - 9.2

S4 = 8.8

Jodi must score at least 8.8 points.

Using an array, it is simple to show how multiplication has the commutative property. The array shown above, for instance, can be interpreted as either 6 columns of 2 or 2 rows of 6. Alternately, the array might be turned on its side to demonstrate that two rows of six have the same number as six rows of two.

The commutative property of multiplication states that regardless of the sequence in which you multiply numbers, the result will always be the same. According to the commutative property, a mathematical principle, the product is unaffected by the order in which we multiply the integers.

Commutative is derived from the term "commute," which means to move about or travel. The commutative property of multiplication states that the result is unaffected by the order in which the numbers are multiplied. According to the commutative property, the results of addition and multiplication are unaffected by the order of the integers.

For example, (3 × 8) is the same as (8 × 3) which will give 24.

Note that an overview was given as the information is incomplete.

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The length of an American football field including end zones is 21600 inches.

To convert yards to inches, we multiply by 36, since there are 36 inches in one yard.

Therefore, a football field that is 120 yards long is equivalent to 120 x 36: = 4320 feet. To convert feet to inches, we multiply by 12, since there are 12 inches in one foot.

Therefore, a 120-yard football field is equivalent to 4320 x 12 = 51,840 inches. However, we must also take into account the two end zones, which are each 10 yards long, or 360 inches. Thus, the total length of an American football field including the end zones is 120 x 36 x 12 + 2 x 360 = 21,600 inches.

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O-1 id k maybe

I tried ok have a great day

The value of i³ will be equal to - i.  The correct option is D.

The functions which are having two parts to the numbers one is the real part and the other is the imaginary part. The imaginary part is written with 'i' called 'iota'.

Multiplying is the process of adding a number to itself a certain number of times. It is possible to think about multiplication as a process of repeated addition.

Given that;

i = √ - 1

Simplify the given value as below,

i = √ - 1

i² = - 1

i³ = - 1 × i

i³ =  - i

Hence, the value of i³ is,

⇒ i³ = - i

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The complete question is given below.

If i=1, what is the value of 1³?

A -1

B i

C 1

D -i

Answer: (-8,0) (0,4)

Step-by-step explanation: graphing it would be for coordinate one (-8,0) and for the second coordinate it would be (0,4.) and for the x y chart it goes for x's it goes -8 and then next is 0 and for the y's, it's 0 then next is 4. give me brainliest thankssss

a)All the probabilities are also between 0 and 1, so yes, this is a valid probability distribution.

b) the probability that Backen and Hayes LLC will obtain 30 or more new clients is 0.75.

c) the probability that Backen and Hayes LLC will obtain fewer than 25 new clients is 0.05.

d)the expected value is 32.25, the variance is 91.91, and the standard deviation is approximately 9.58.

a. To check if this is a valid probability distribution, we need to ensure that the probabilities sum up to 1 and that all probabilities are between 0 and 1. Let's check:

0.05 + 0.20 + 0.25 + 0.15 + 0.15 + 0.10 + 0.10 = 1

All the probabilities are also between 0 and 1, so yes, this is a valid probability distribution.

b. To find the probability that Backen and Hayes LLC will obtain 30 or more new clients, we need to sum up the probabilities for all values greater than or equal to 30:

P(X ≥ 30) = P(X = 30) + P(X = 35) + P(X = 40) + P(X = 45) + P(X = 50)

= 0.25 + 0.15 + 0.15 + 0.10 + 0.10

= 0.75

So the probability that Backen and Hayes LLC will obtain 30 or more new clients is 0.75.

c. To find the probability that Backen and Hayes LLC will obtain fewer than 25 new clients, we need to sum up the probabilities for all values less than 25:

P(X < 25) = P(X = 20)

= 0.05

So the probability that Backen and Hayes LLC will obtain fewer than 25 new clients is 0.05.

d. To find the expected value, we need to multiply each possible value by its corresponding probability and sum up the results:

E(X) = (20)(0.05) + (25)(0.20) + (30)(0.25) + (35)(0.15) + (40)(0.15) + (45)(0.10) + (50)(0.10)

= 32.25

To find the variance, we need to calculate the squared deviation of each possible value from the expected value, multiply each squared deviation by its corresponding probability, and sum up the results:

Var(X) = (20 - 32.25)²(0.05) + (25 - 32.25)²(0.20) + (30 - 32.25)²(0.25) + (35 - 32.25)²(0.15) + (40 - 32.25)²(0.15) + (45 - 32.25)²(0.10) + (50 - 32.25)²(0.10)

= 91.91

To find the standard deviation, we need to take the square root of the variance:

SD(X) = √(91.91)

≈ 9.58

So the expected value is 32.25, the variance is 91.91, and the standard deviation is approximately 9.58.

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The value of x in the triangular pyramid is 8 units.

The volume of the pyramid is given as 240 units cube. Therefore, let's find the value of x in the pyramid.

volume of the pyramid = 1 / 3 ×base area × height

Therefore,

base area = 1 / 2 bh

base area = 1 / 2 × 12 × x

base area = 6x

Therefore,

volume of the pyramid =  1 / 3 × 6x × 15

240 = 30x

divide both sides by 30

x = 240 / 30

x = 8 units

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Answer:

List all of the multiples

Step-by-step explanation:

Although it's not the most efficent way, listing all the multiples of the given numbers until each has the same multiple is a working tactic.

Answer:

Function 1: Not linear

Function 2: Linear

Function 3: Not linear

Function 4: Linear

Step-by-step explanation:

I used desmos then I input the given coordinates.

Answer:

The cyclist has travelled a distance of 931.888 meters.

Answer: (iii) Profit The marked price of an article is 15% above its selling price and the cost price is 25% less tha its marked price. Find the discount percent and gain percent.​

Step-by-step explanation:

Answer:

\(\displaystyle \sec(\theta)=\frac{9\sqrt{17}}{17}\)

Step-by-step explanation:

We are given that:

\(\displaystyle \sin(\theta)=\frac{8}{9}\text{ and } \tan(\theta)>0\)

And we want to find sec(θ).

First, note that both sine and tangent are positive. The only quadrant in which this can occur is QI. Hence, all trig ratios will be positive.

Also, recall that sine is the ratio of the opposite side to the hypotenuse. Using this information and the Pythagorean Theorem, we can determine the adjacent side:

\(a=\sqrt{9^2-8^2}=\sqrt{17}\)

So, with respect to θ, the adjacent side is √(17), the opposite side is 8, and the hypotenuse is 9.

Secant is the ratio of the hypotenuse to the adjacent. Hence:

\(\displaystyle \sec(\theta)=\frac{9}{\sqrt{17}}=\frac{9\sqrt{17}}{17}\)

Again, since θ is in QI, all trig ratios are positive.

Answer:

11/29/2020

Step-by-step explanation:

Every seventh and fifth day, both numbers are prime, 5 x 7 = 35, so 35 days after October 24th is November 29th because October has 30 days.

Answer:

33 units³

Step-by-step explanation:

Volume of a rectangular prism

\(\sf Volume = Area\:of\:base \times height\)

From inspection of the given diagram:

Substitute the given values into the formula and solve for volume:

\(\begin{aligned}\sf \implies Volume & = \sf 9 \times 3 \dfrac{2}{3}\\\\& = \sf 9 \times \dfrac{3 \times 3+2}{3}\\\\& = \sf 9 \times \dfrac{11}{3}\\\\& = \sf \dfrac{9 \times 11}{3}\\\\& = \sf \dfrac{99}{3}\\\\& = \sf \dfrac{33 \times \diagup\!\!\!\!3}{\diagup\!\!\!\!3}\\\\& = \sf 33\:units^3 \end{aligned}\)

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\(\boxed{\sf Volume=Area\:of\:base\times Height}\)

\(\\ \tt\dashrightarrow Volume=9\times3 \dfrac{2}{3}\)

\(\\ \tt\dashrightarrow Volume=9\times \dfrac{11}{3}\)

\(\\ \tt\dashrightarrow Volume=3(11)\)

\(\\ \tt\dashrightarrow Volume=33units³\)

Answer:

Be 10 times larger.

Step-by-step explanation:

Imagine the perimeter is just 10. If it got 10 times larger, it goes to 100.

A Type I error would occur if the HOA falsely rejects the null hypothesis that only 45% of homeowners support the fee increase when in reality more than 45% supports the increase.

A Type I error occurs when a null hypothesis is rejected when it is actually true. In this case, the null hypothesis is that only 45% of homeowners support the fee increase. To test this hypothesis, the HOA surveys a sample of 50 homeowners and uses the results to test the hypotheses H0: p = 0.45 and Ha: p > 0.45. If the HOA finds evidence that more than 45% of homeowners support the fee increase, when in reality only 45% or less of the homeowners support the fee increase, then a Type I error has occurred. On the other hand, if the HOA does not find evidence that more than 45% of homeowners support the fee increase, when in reality more than 45% of the homeowners do support the increase, then a Type I error has also occurred. In both cases, the HOA has incorrectly rejected the null hypothesis and a Type I error has occurred.

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If four friends have $525 that they want to share equally and they divide the money so that each friend gets a $100 bill, then next step will be divide the remaining money so that each friend gets a $31.25

Total money the have = $525

they divide the money so that each friend gets a $100 bill

The amount of money they split equally = 4×100

= $400

Remaining money = 525-400

= $125

Split the remaining money into 4 = 125/4

= $31.25

Hence, If four friends have $525 that they want to share equally and they divide the money so that each friend gets a $100 bill, then next step will be divide the remaining money equally so that each friend gets a $31.25

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Answer:

see explanation

Step-by-step explanation:

∠ 4 and ∠ 6 are same- side interior angles and supplementary, sum to 180°

Step-by-step explanation:

\(angle \: 4 \: makes \: a \: c \: shape \: when \: refering \: it \: to \: angle \: 6 \: which \: is \: terefore \: a \: correspndin \: angle \: \\ \\ \)

Answer: 16

Step-by-step explanation:

Taking the integral: f(x)=((2x)^4)/4-1^4/4

Differentiating: f'(x)=2(2x)^3

f'(1)=16

The quadratic regressiοn equatiοn fοr the given data pοints is y = 5x² - 20x + 7

A secοnd-degree equatiοn οf the fοrm ax² + bx + c = 0 is knοwn as a quadratic equatiοn in mathematics. Here, x is the variable, c is the cοnstant term, and a and b are the cοefficients.

Tο find the quadratic regressiοn equatiοn fοr the given data pοints, we need tο fit a quadratic equatiοn οf the fοrm y = ax² + bx + c tο the data.

We can start by using the three given pοints tο set up a system οf three equatiοns:

\((1,-8): a(1)^2 + b(1) + c = -8\\\\(2,-4): a(2)^2 + b(2) + c = -4\\\\(3,6): a(3)^2 + b(3) + c = 6\)

SimpIifying each equatiοn, we get:

a + b + c = -8 (equatiοn 1)

4a + 2b + c = -4 (equatiοn 2)

9a + 3b + c = 6 (equatiοn 3)

AIternativeIy, we can use technοIοgy such as a caIcuIatοr οr spreadsheet tο sοIve the system.

SοIving the system using technοIοgy, we get:

a = 5

b = -20

c = 7

Therefοre, the quadratic regressiοn equatiοn fοr the given data pοints is:

y = 5x² - 20x + 7

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The total surface area of solid is,

S = 220 m²

And,  The volume of the prism is, 200 m³

We have to given that;

A solid prism is shown in figure.

Since, The surface area of a prism is,

S = (2 × Base Area) + (Base perimeter × height)

Where, "S" is the surface area of the prism.

Hence, We get;

base area = 5 x 10 = 50 m²

height = 4 m

Base Perimeter = 2 (5 + 10) = 30

Hence, We get;

S = (2 x 50) + (30 x 4)

S = 100 + 120

S = 220 m²

Since, A prism is a solid shape that is bound on all its sides by plane faces. The volume of a prism is expressed as;

V = base area × height.

Now, For given figure,

Volume of the prism = base area × height

base area = 5 x 10 = 50 m²

height = 4 m

Hence, Volume = 50 × 4 m³

= 200 m³

Thus, The volume of the prism is, 200 m³

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The equations which show the total volume of the boxes Marcus shipped are as follows:

A. (20 × 10 × 7) + [2× (20 × 4 × 4)]

C. (20 × 10 × 7) + (20 × 4 × 4) + (20 × 4 × 4)

F. (200 × 7) + [2 × (80 × 4)]

Mathematically, the volume of a rectangular prism can be calculated by using this equation:

Volume = L × W × H

Where:

For rectangular prism 1, the volume is given by:

Volume 1 = L × W × H

Volume 1 = 20 × 7 × 10

Volume 1 = 200 × 7

Volume 1 = 1,400 cubic inches.

For rectangular prism 2, the volume is given by:

Volume 2 = L × W × H

Volume 2 = 20 × 4 × 4

Volume 2 = 80 × 4

Volume 2 = 320 cubic inches.

Since Marcus shipped 1 of the larger boxes and 2 of the smaller boxes, the total volume of the boxes Marcus shipped is given by these three (3) equations:

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The possible combinations of the number of each type of treat that Cindy can buy include:

A word problem in mathematics simply refers to a question that is written as a sentence or in some cases more than one sentence which requires an individual to use his or her mathematics knowledge to solve the real life scenario given.

In this case, 6 box of cookies and 4 box of brownies will be:

= 6($3) + 4($2)

= $26

8 box of cookies and 1 box of brownies also give $26.

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Answer:

5:8

Step-by-step explanation:

30:48

simplify it as you would to a fraction

=5:8

hope this helped :)

Answer:

4. x ≥ -1

Step-by-step explanation:

The graph shows a directed line that starts at -1 towards the your right. The full circle indicates that -1 is included among the possible values of x. This means that all possible values of x include -1 and above.

Therefore, we can say x is greater than or equal to -1.

This is represented as:

x ≥ -1

Answer:

A

Step-by-step explanation:

A bisector is the required line that divides a given line or an angle into two equal parts. The required construction of the bisectors is shown in the attachment to this answer.

Bisection is the process in which a given line or angle is divided into two equal parts by constructing the required bisector. Thus the steps to bisect the given arcs are stated below:

For figure 1:

For figure 2:

For figure 3:

For figure 4:

NB: The point of intersection of the bisectors in relation to arc AC is the radius of the given arc.

The required constructions are attached to this answer.

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Answer:

The measure of angle 7 is 34 degrees.

Step-by-step explanation:

Since a || b, angles 3 and 7 are corresponding angles which are congruent. Therefore, since the measure of angle 3 is 34 degrees, the measure of angle 7 is 34 degrees.

Algebraic expressions are mathematical statements that consist of both number(s) and alphabet(x). Thus the number of stamps in the book is 66\(\frac{43}{60}\) (67).

Algebraic expressions are mathematical statements that consist of both number(s) and alphabet(x). Majorly, the alphabet in the expression is referred to as the unknown value which has to be determined.

When the power of any of the alphabets contained in an algebraic expression is more than one, then it can be referred to as a polynomial.

In the given question, let the number of stamps in the book be represented by N.

So that;

N - 5/12 + 24 + 15 + 3/10 + 27 = 0

N - (5/12 + 24 + 15 + 3/10 + 27) = 0

N - \(\frac{8006}{120}\) = 0

N - 66\(\frac{43}{60}\) = 0

N = 66\(\frac{43}{60}\)

   = 66.72

N ≅ 67

Therefore the number of stamps in the book is approximately 67.

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Answer:

41° and 49°

Step-by-step explanation:

Complementary angles are angles that sum up to 90°.

Let x represent the smaller angle, then the bigger angle will be represented with x + 8:

x + x + 8 = 90°

2x + 8 = 90°

2x = 82°

x = 41° this is the measure of smaller angle, then the bigger angle wpis 49°

The answer is:

Work/explanation:

If two angles are complementary, their measures add to 90°.

So we can set up an equation to find the angles. Let the unknown angle be w, and its complement will be w + 8:

w + w + 8 = 90

Combine like Terms

2w + 8 = 90

2w = 82

w= 41

The other angle measures 8° more than the measure of w:

41 + 8 = 49