Solve for the intercepts in the function 2y=8x -4

Step-by-step explanation: Well to begin, you take 15$ and multiply it by 4, since he wants to buy 4 of those tickets, which is 60$. Then, take the 10$ and multiply it by 2 since he wants 2 of those tickets, which is 20$, you then apply 10% to 60 and 20 by taking 10 percent of 60, then adding  it to 60 once have that, which is 66, you take the 3% and find 3% of 66, then add the answer of that to 66, which is 67.98$, you then do the same thing to the 20$.

Sorry if this didnt help, im sure it didnt because im a very bad explainer, but i tried..

a. The missing value in the table 0.03

b. The mean is 4.18

c. The variance is 3.23 and standard deviation is 1.80

d.  The larger the standard deviation, the greater the spread of the probability distribution.

A random variable is a variable that can take on different values depending on the outcome of a random event. In this case, the random variable X represents the number of calls per hour to a call center in the last month.

a. The missing value in the table is the number of calls per hour for the probability 0.03. From the table, we see that the number of calls per hour is 7.

b. The mean, also known as the expected value, is a measure of the center of the probability distribution. It is calculated by taking the sum of the product of each possible value of X and its corresponding probability. In mathematical terms, the mean of X is given by:

E(X) = 1 * P(1) + 2 * P(2) + 4 * P(4) + 5 * P(5) + 6 * P(6) + 7 * P(7)

E(X) = 0.01 + 0.2 + 1.04 + 1.65 + 1.08 + 0.21 = 4.18

So, the mean number of calls per hour to the call center in the last month is 4.18.

c. The variance of X is a measure of the spread of the probability distribution. It is calculated by taking the sum of the squared differences between each possible value of X and the mean, multiplied by the corresponding probability. In mathematical terms, the variance of X is given by:

Var(X) = (1 - 4.18)² * P(1) + (2 - 4.18)² * P(2) + (4 - 4.18)² * P(4) + (5 - 4.18)² * P(5) + (6 - 4.18)² * P(6) + (7 - 4.18)² * P(7)

Var(X) = 3.23

The standard deviation is the square root of the variance, and it is also a measure of the spread of the probability distribution. In mathematical terms, the standard deviation of X is given by:

=> SD(X) = √(Var(X)) = √(3.23) = 1.80

d. Interpretation:

The mean of 4.18 calls per hour represents the average number of calls to the call center in the last month.

The standard deviation of 1.80 indicates that the number of calls per hour deviates from the mean by approximately 1.80 calls on average.

This means that about 68% of the time, the number of calls per hour will be between 2.38 (4.18 - 1.80) and 6.08 (4.18 + 1.80).

Complete Question:

The random variable X represents the number of calls per hour to a call center in the last month. The probability distribution for X is below.

x 1 2 4 5 6 7

P(x) 0.01 0.10 0.26 0.33 0.18 0.06 0.03

a. What is the missing value in the table?

b. Find the mean.

c. Find the variance and standard deviation.

d. Interpret your results.

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Answer:

ok

trough is the y

Crest is W

I put a picture for help

The value of x for the second triangle if it is the reduction of the first drawing is 6.3 feet.

Given two triangles.

Also given that, the scale drawings given are the reduction of the figure.

Most probably, the second triangle must be formed after a reduction with a scale factor of k.

Let k be the required scale factor.

The value of k can be found by taking the ratio of the corresponding sides.

k = 5.2 / 10.4

  = 0.5

So all the corresponding sides will be half of the first triangle.

x = 0.5 × 12.6

  = 6.3 feet

Hence the value of x is 6.3 feet.

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Answer:

22

Step-by-step explanation:

False

Answer:

Step-by-step explanation:

Answer:

false

Step-by-step explanation:

i just did the quiz so trust

Answer:

Yes Jeff is the correct answer

Step-by-step explanation:

Expressions that have the square root sign are said to be radicals.

The simplified form of \(-6i\sqrt{-44}\) is \(12\sqrt{11}\)

The expression is given as:

\(-6i\sqrt{-44}\)

Start by splitting the expression

\(-6i\sqrt{-44} = -6 \times i \times \sqrt{-44}\)

Factorize -44

\(-6i\sqrt{-44} = -6 \times i \times \sqrt{-1} \times \sqrt{44}\)

In complex numbers;

\(i = \sqrt{-1\)

So, we have:

\(-6i\sqrt{-44} = -6 \times \sqrt{-1} \times \sqrt{-1} \times \sqrt{44}\)

Express \(\sqrt{-1} \times \sqrt{-1}\) as \(-1\)

\(-6i\sqrt{-44} = -6 \times -1 \times \sqrt{44}\)

\(-6i\sqrt{-44} = 6 \times \sqrt{44}\)

Express 44 as 4 x 11

\(-6i\sqrt{-44} = 6 \times \sqrt{4} \times \sqrt{11}\)

Express \(\sqrt 4\) as \(2\)

\(-6i\sqrt{-44} = 6 \times 2 \times \sqrt{11}\)

\(-6i\sqrt{-44} = 12 \times \sqrt{11}\)

\(-6i\sqrt{-44} = 12\sqrt{11}\)

Hence, the simplified expression is: \(12\sqrt{11}\)

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Answer:

a) Everyone on the team talks until the entire team agrees on one decision.

Step-by-step explanation:

Option B consists of voting and not everyone would like the outcome. Option C is making an outsider the decision maker, which can't be helpful since he / she won't have as strong opinions as the team itself. Option D is just plain wrong as it defeats the purpose of team work and deciding as one team. So, I believe option A makes the most sense

The correct options include:

b. In the fifth year Mariah's balance will be higher than Colton's

c. Mariahs beginning balance was 400 and coltons beginning balance was 500.

Functions are the fundamental part of the calculus in mathematics. The functions are the special types of relations. A function in math is visualized as a rule, which gives a unique output for every input x.

Here, from the table

(0, 500), (1, 550), (2, 600), (3, 650) and (4, 700)

The equations for the given points is y=500+50t

Put t=0, 1, 2, 3, 4 in f(t)=400(1.15)t

When t=0, f(0)=$0

When t=1,

f(1)=400×1.15×1

= $460

When t=2,

f(2)=400×1.15×2

= $920

When t=3,

f(3)=400×1.15×3

= $1380

When t=4,

f(4)=400×1.15×4

= $1840

Fifth year:

The balance in Mariah account is

f(t)=400(1.15)t

⇒ f(5)=400×1.15×5

= $2300

The balance in Colton account is

y=500+50t

⇒ y=500+50(5)

= $750

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Answer:  the answer is 38

Step-by-step explanation:

all you have to do is subtract 51-13 and the answer of that is the asnswer. :)

Answer:

42n+108

Step-by-step explanation:

21(2n+8)

42n+108

Answer:

q=8/3

Step-by-step explanation:

First, add 5/6 to both sides to get rid of -5/6 to get q=16/6 then simplify to q=8/3.

Answer:

\(q=2\frac{2}{3}\)

Step-by-step explanation:

The given equation consists of a fraction and a mixed number.

First, convert the mixed number into an improper fraction by multiplying the whole number by the denominator of the fraction, adding this to the numerator of the fraction, and placing the answer over the denominator:

\(q-\dfrac{5}{6}=1 \frac{5}{6}\)

\(q-\dfrac{5}{6}=\dfrac{1 \cdot 6+5}{6}\)

\(q-\dfrac{5}{6}=\dfrac{11}{6}\)

Now, add 5/6 to both sides of the equation to isolate q:

\(q-\dfrac{5}{6}+\dfrac{5}{6}=\dfrac{11}{6}+\dfrac{5}{6}\)

\(q=\dfrac{11}{6}+\dfrac{5}{6}\)

As the fractions have the same denominator, we can carry out the addition by simply adding the numerators:

\(q=\dfrac{11+5}{6}\)

\(q=\dfrac{16}{6}\)

Reduce the improper fraction to its simplest form by dividing the numerator and denominator by the greatest common factor (GCF).  

The GCF of 16 and 6 is 2, therefore:

\(q=\dfrac{16\div 2}{6 \div 2}\)

\(q=\dfrac{8}{3}\)

Finally, convert the improper fraction into a mixed number by dividing the numerator by the denominator:

\(q=2 \; \textsf{remainder}\;2\)

The mixed number answer is the whole number and the remainder divided by the denominator:

\(q=2\frac{2}{3}\)

Answer:

To know the answer refer to attachment.

Note: There are 3 attachments

Scroll side to see the 3rd attachment

\(\Large\textsf{Hope \: It \: Helped}\)

This is the rectangular equation described by the parameter equation x = t1/3 and y = t – 4.

Elimination of the parameter means to rewrite the equations in terms of only x and y. To do this, substitute t from one equation into the other equation. Here, the two equations are:x = t1/3 and y = t – 4Substitute t from the first equation into the second equation:y = (x^3) – 4Now the equation is in terms of x and y only.

This is the rectangular equation described by the parameter equation x = t1/3 and y = t – 4.The rectangular equation, y = (x^3) – 4 can be plotted on a graph. It is a cubic equation. The graph will look like a curve that passes through the point (0, -4) and continues to move towards infinity. The graph will be symmetric to the origin because the equation involves an odd power of x.

If the equation involved an even power of x, the graph would be symmetric to the y-axis. The graph will never touch the x-axis or y-axis, it will only approach them.In conclusion, the rectangular equation y = (x^3) – 4 is derived from the two parameter equations, x = t1/3 and y = t – 4. The graph of this equation is a cubic curve that is symmetric to the origin. The curve passes through (0, -4) and approaches the x and y-axes but never touches them.

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Answer:

A)  p = 6

Step-by-step explanation:

Given equation:

3(p - 5) = 5p -27

Apply the Distributive Property of Multiplication over subtraction law:

⇒ 3 · p - 3 · 5 = 5p - 27

⇒ 3p - 15 = 5p - 27

Add 27 to both sides:

⇒ 3p - 15 + 27 = 5p - 27 + 27

⇒ 3p + 12 = 5p

Subtract 3p from both sides:

⇒ 3p - 3p + 12 = 5p - 3p

⇒ 12 = 2p

⇒ 2p = 12

Divide both sides by 2:

⇒ 2p ÷ 2 = 12 ÷ 2

⇒ p = 6

Answer:

32 yards (squared)

Step-by-step explanation:

Length x width = area (LxW=A)

Step 1:

Length = 6 yards

Width = 5 1/3 yards

Step 2:

Multiply 6 x 5 1/3 because 6 is the length, 5 1/3 is the width, and LxW=A.

6 x 5 1/3 = 32 yards (squared)

Answer:

The answer is 32

Step-by-step explanation:

The formula for finding the area of a trapezoid is:

         ((base 1 + base 2)/ 2 )* h

Now all you have to do is substitute the numbers in.

Note: bases will always be the ones like 12 and 4 in this case. We have just named then 1 and 2.

Answer:

32 square units

Step-by-step explanation:

\(\displaystyle A=\frac{1}{2}(b_1+b_2)h=\frac{1}{2}(12+4)(4)=\frac{1}{2}(16)(4)=\frac{1}{2}(64)=32\)

Note that \(b_1\) and \(b_2\) are the lengths of each base of the trapezoid, so it doesn't matter which is which.

The sum of the fractions 2 / 13 + 4 / 13  is 6 / 13

Fractions are number expressed as a quotient, in which a numerator is divided by a denominator.  A fraction is improper if the numerator(upper value) is bigger than the denominator(lower value). A fraction is proper if the denominator is bigger than the numerator.

Therefore, let's find the sum of 2 / 13 and 4 / 13.

2 / 13 is a proper fraction

4 / 13 is a proper fraction

2 / 13 + 4 / 13

The least common denominator is 13. Therefore,

2 / 13 + 4 / 13  =  2 + 4 / 13 = 6 / 13

Therefore, the sum of the fractions 2 / 13 + 4 / 13  is 6 / 13.

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Answer:

N = 20

Step-by-step explanation:

5/3 = 1 2/3

20/12 = 1 8/20

They are equivalent

Answer:

1.4

Step-by-step explanation:

we have to subtract the length of the first hike from the second to see how much longer the second hike was.

6.1 - 4.7 = 1.4

The second hike was 1.4 miles longer.

Subtraction can be done for any numbers or algebraic expressions. It is the process of taking out certain value from a given amount of number.

The process of subtraction can also be termed as finding difference.

Given that,

Tameron took two hikes this week.

Distance that Tameron hiked in first hike = 4.7 miles

Distance that Tameron hiked in second hike = 6.1 miles

We have to find that how much longer is the second hike.

We have to find the difference of the second hike and the first hike.

Difference = 6.1 miles - 4.7 miles

                  = 1.4 miles

Hence the second hike was 1.4 miles longer.

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Answer: Second option, 2^2x+6=2^6

Step-by-step explanation:

You can simplify 4^x+3 by making the 4 into 2^2. By doing this you also multiply the current powers of 4 by 2, giving you (x+3) • 2, furthermore, 2^2x+6.

64 is a power of 2, so just multiply 2 by itself until you get the number you’re looking for and count how many times you do it. Or just type each option, like 2^4, 2^6 into the calculator until you find it.

Given:

m∠SPQ = 113 degrees

Let's find the measure of angle RQS, m∠RQS.

By applying the angle-arc relationship, we have:

m∠SPQ = measure of arc SQ = 113 degrees.

Since RQ is the diameter, measure of arc RQ = 180 degrees.

Now, let's find the measure of arc RS:

measure of arc RS = 360 - arc SQ - arc RQ

measure of arc RS = 360 - 113 - 180 = 67 degrees.

To find the m∠RQS, apply angle-arc relationship:

Therefore, the measure of angle RQS is 33.5 degrees.

ANSWER:

m∠RQS = 33.5°

Answer:

Each of the twin beds: 5 decorative pillows

Each of the queen beds: 11 decorative pillows

Step-by-step explanation:

Let the number of pillows used for each twin bed be x

Let the number of pillows used for each queen bed be y

she decorated 1 twin bed and 2 queen beds and used a total of 27 pillows. Thus;

x + 2y = 27 - - - (eq 1)

Also, she used

37 pillows to spruce up 3 twin beds and 2 queen beds. Thus;

3x + 2y = 37 - - - (eq 2)

From eq 1, x = 27 - 2y

Thus;

3(27 - 2y) + 2y = 37

81 - 6y + 2y = 37

81 - 4y = 37

4y = 81 - 37

4y = 44

y = 44/4

y = 11

x = 27 - 2(11)

x = 27 - 22

x = 5

Thus, she used 5 decorative pillows for each of the twin beds and 11 decorative pillows for each of the queen bed

Answer:

4h55m57.69ssss

Step-by-step explanation:

2,25×114÷52

The value of angle ABC is 26°

What is a value ?

Depending on where it is in the number, each digit has a different value, which is referred to as value. We figure it out by multiplying the digit's place value by its face value. Place value plus face value equals value.

Values are the benchmarks or ideals by which we judge the acts, traits, possessions, or circumstances of others. Values that are embraced by many include those of beauty, honesty, justice, peace, and charity.

Depending on where it is in the number, each digit has a different value, which is referred to as value. We figure it out by multiplying the digit's place value by its face value. Place value plus face value equals value.

to find the ∠ABC

we know ∠CAB = 64° and ∠BCA = 90°

let ∠ABC be x

x + 64 + 90 = 180

x = 180 - 64 - 90

  = 26°

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keeping in mind that perpendicular lines have negative reciprocal slopes, let's check for the slope of the equation above

\(-9x + y = 3\implies y = \stackrel{\stackrel{m}{\downarrow }}{9} x +3 \impliedby \begin{array}{|c|ll} \cline{1-1} slope-intercept~form\\ \cline{1-1} \\ y=\underset{y-intercept}{\stackrel{slope\qquad }{\stackrel{\downarrow }{m}x+\underset{\uparrow }{b}}} \\\\ \cline{1-1} \end{array}\)

so then

\(\stackrel{~\hspace{5em}\textit{perpendicular lines have \underline{negative reciprocal} slopes}~\hspace{5em}} {9\implies \stackrel{slope}{\cfrac{9}{1}} ~\hfill \stackrel{reciprocal}{\cfrac{1}{9}} ~\hfill \stackrel{negative~reciprocal}{-\cfrac{1}{9}}}\)

so we're really looking for the equation of a line whose slope is -1/9 and passes through (-9 , -1)

\((\stackrel{x_1}{-9}~,~\stackrel{y_1}{-1})\qquad \qquad \stackrel{slope}{m}\implies -\cfrac{1}{9} \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{(-1)}=\stackrel{m}{-\cfrac{1}{9}}(x-\stackrel{x_1}{(-9)}) \\\\\\ y+1=-\cfrac{1}{9}(x+9)\implies y+1=-\cfrac{1}{9}x-1\implies y=-\cfrac{1}{9}x-2\)

Answer:

x + x - 45 = 90

2x - 45 = 90

2x = 135

x = 67.5, so x - 45 = 22.5

The other two angles measure 22.5° and 67.5°.