Which of the following functions has the greatest y-intercept?


f(x)


xy

−3−27

−28

−1−1

00

11

28


OR


g(x) = 4 sin(4x) − 3


a) f(x)

b) g(x)

c) f(x) and g(x) have the same y-intercept

d) not enough info

The cost of each funnel cake from the obtained equation is $6.975.

Given that, a group of 4 friends went to the fair. They each ordered a funnel cake and shared a large pack of candy that costed $6.50.

In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

Let the cost of each cake be x.

They paid a total of $34.50.

Now, 4x+6.50=34.40

⇒ 4x = 34.40-6.50

⇒ 4x = 27.90

⇒ x = 27.90/4

⇒ x = $6.975

Therefore, the cost of each funnel cake from the obtained equation is $6.975.

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The t-test value for the given collected data of hours of studying and exam grade is equal to 10.45.

As given in the question,

n = 5

Mean of the data ( time ) μ₁ = ( 1+ 3 + 4 + 3+ 6)/ 5

                                           = 3.4

Mean of the exam grade μ₂  = ( 55 + 75 + 80 + 85 + 99) / 5

                                           = 78.8

Standard deviation of time σ₁ = 1.82

Standard deviation of exam grade σ₂ = 16.04

Standard error of time = σ₁/√n

                                   = 1.82 / √5

                                   =0.81

Standard error of time =σ₂/√n

                                   = 16.04/ √5

                                   =7.17

Difference in mean of time and exam grade  = 78.8 - 3.4

                                                                      = 75.4

Standard error of difference 'S.E'= √ (0.81)² + (7.17)²

                                            = 7.215

t - test for the given data

= | μ₁ -  μ₂| / S.E.

= | 3.4 - 78.8| / 7.215

= 75.4 / 7.215

= 10.45

P value and statistical significance:

Two-tailed P value is smaller than 0.0001

Therefore, the t-test value for the given collected data is equal to 10.45.

The above question is incomplete , the complete question is:

Researchers have collected data on the hours of studying in a week and the exam grade of a student. you are given the data below (10 points). hint: this questions is similar to q1 in hw7.

hours of studying                            exam grade

1                                                       55

3                                                      75

4                                                      80

3                                                      85

6                                                      99

Calculate the t -test and interpret the data?

Answer:

On average, the football club sells 1,058,000 tickets per season.

Step-by-step explanation:

\(23000\) × \(46 = 1058000\)

Considering the given information, we fail to reject the null hypothesis that the proportion of men who own cats is less than or equal to 23% at the 0.10 significance level.

The null and alternative hypotheses are as follows:

H o: p ≤ 0.23 (proportion of men who own cats is less than or equal to 23%)

H a: p > 0.23 (proportion of men who own cats is larger than 23%)

The test is right-tailed because the alternative hypothesis states that the proportion is larger than 23%.

Based on a sample of 40 people, with 15% of them owning cats, we can calculate the p-value.

To find the p-value, we need to use the binomial distribution and calculate the probability of observing a result as extreme or more extreme than the one obtained under the null hypothesis.

Let's calculate the p-value:

p = 0.15 (proportion of men in the sample who own cats)

n = 40 (sample size)

p-value = P(X ≥ 0.15 x 40) = P(X ≥ 6)

Using a binomial calculator or software, we can find that P(X ≥ 6) is approximately 0.162.

Since the p-value (0.162) is greater than the significance level of 0.10, we fail to reject the null hypothesis.

Therefore, based on the given information, we fail to reject the null hypothesis that the proportion of men who own cats is less than or equal to 23% at the 0.10 significance level.

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The expanded form of (x²-3y)⁴ using Pascal's Triangle is x⁸ - 12x⁶y² + 54x⁴y⁴ - 108x²y⁶ + 81y⁸.

Pascal's Triangle is a triangular array of numbers in which the value in each cell is the sum of the two numbers directly above it.

To expand the given expression (x²-3y)⁴ as per Pascal's triangle:

First, write down the fourth row of Pascal's Triangle as:

1 4 6 4 1

The above numbers represent the coefficients of the terms in the expansion of (a+b)⁴, where a is x² and b is -3y. Therefore, it can be written as,

1×(x²)⁴ + 4×(x²)³×(-3y) + 6×(x²)²×(-3y)² + 4×(x²)(-3y)³ + 1(-3y)⁴

Simplify each term,

x⁸ - 12x⁶y² + 54x⁴y⁴ - 108x²y⁶ + 81y⁸

Therefore, the expanded form of (x²-3y)⁴ using Pascal's Triangle is x⁸ - 12x⁶y² + 54x⁴y⁴ - 108x²y⁶ + 81y⁸.

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Answer: 0.00703

Step-by-step explanation: The ordinary number, or standard form, of this expression would be 0.00703 because here, we are multiplying 7.03 in scientific notation by a power of ten that is negative. If any exponential power of 10 is being multiplied and is negative, the digits move that same number of places to the right of the decimal point to render a smaller number than it was in the expression. Hope this helps!

The crime that is often alcohol related is domestic violence. That is option D.

Domestic violence is defined as an abusive relationship that exist between two or more individuals that are closely related by blood or marriage.

The causes of domestic violence include the following:

Therefore, alcohol intake can lead to domestic violence because it can cause the abusive partner to have a reduction in cognitive and physical functions that impair self-control, with the consequent effect of reducing the ability to resolve conflicts nonviolently.

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Answer:

4

Step-by-step explanation:

Answer: 4

Step-by-step explanation:

Hello, there.

To find the slope of a line, first you need to make sure which points this line passes through:

The slope \(m\) of a line, passing through the points \((x_0,~y_0)\) and \((x_1,~y_1)\) is given by the formula \(m=\dfrac{y_1-y_0}{x_1-x_0}\).

As we can see in the graph, this lines passes through the points \((0,~1)\) and \((1,~3)\), such that we can substitute these values on the formula to find its slope:

\(m=\dfrac{3-1}{1-0}\)

Subtract the values in both numerator and denominator

\(m=\dfrac{2}{1}=2~~\checkmark\)

This is the slope of this line.

Answer:

m=2

Step-by-step explanation:

use

\(y^2/x^2 - y^1/x^1\)

Perimiter is adding up all sides A+B+C+D.

Rectangles have two sets of parallel lines the height and the width.

If we know one of the heights is 7 the. We can conclude the parallel side is also 7

So then the total perimiter 34 minus the heights is 20.

We know that there is another set of parallel sides, remaining and 20 is how perimiter is left

… so if you divide by 2 your left with one side which is the width

Answer 10

Answer:

$3806

Step-by-step explanation:

  230.0

    56.0

+   19.50

  305.50

305.5x12=3666

35x4=140

3666+140=3806

Answer:

The least amount they can spend is $276

Step-by-step explanation:

12 x 20 = 240

8 x 4 = 32

2 x 2 = 4

240 + 32 + 4 = 276

Stay happy-Livia

Answer:

increases

Step-by-step explanation:

The width of the confidence interval decreases as the sample size increases.

When there is the decrease in the standard deviation so the width of the confidential interval should be increased.

Given that,

Based on the above information, the following information should be considered.

Therefore we can conclude that when there is the decrease in the standard deviation so the width of the confidential interval should be increased.

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a.) The value of pulses exported by US in billion would be=30 billion.

b.) The ratio of wheat export of UK to maize export of IND would be= 6:5

For question a.)

To calculate the pulses, the following steps should be taken as follows:

From the bar chart, the value of pulses in billions = 30 billions.

For question b.)

The ratio of wheat export at UK and maize export at IND would be calculated as follows:

The quantity of wheat export at UK = 24

The quantity of maize export at IND = 20

Therefore, the ratio of wheat to maize = 24:20= 6:5

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Answer:

Cost=x25+200

Step-by-step explanation:

The amount of people is unknown but each person the cost will be $25 for refreshments per each passenger; the limo cost $200 once you figure out how many people will go to prom x will be, EXAMPLE: x=6 times $25 plus $200 which will give you the cost.

Answer:

You have got

to start thinking bee, my friend.

- Thinking bee!

- Me?

Hold it. Let's just stop

for a second. Hold it.

I'm sorry. I'm sorry, everyone.

Oan we stop here?

I'm not making a major life decision

during a production number!

All right. Take ten, everybody.

Wrap it up, guys.

Step-by-step explanation:

You have got

to start thinking bee, my friend.

- Thinking bee!

- Me?

Hold it. Let's just stop

for a second. Hold it.

I'm sorry. I'm sorry, everyone.

Oan we stop here?

I'm not making a major life decision

during a production number!

All right. Take ten, everybody.

Wrap it up, guys.

175+3t≥300 is the inequality would represent the number of tickets (t) that the Booster Club must sell to meet its goal

a relationship between two expressions or values that are not equal to each other is called 'inequality.

Given that The Booster Club has a goal of raising at least $300.

The Club has already raised $175

The Booster Club is sponsoring a pancake breakfast and charging $3.00 per ticket.

175+3t≥300

One hundred seventy five plus three times t greater than or equal to three hundred.

We have used greater than or equal to in inequality because in data given atleast.

Hence, 175+3t≥300 is the inequality would represent the number of tickets (t) that the Booster Club must sell to meet its goal

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Using the radius of the Ferris wheel and the angle between the two positions, the time spent on the ride when they're 28 meters above the ground is 12 minutes

The radius of the Ferris wheel is 30 / 2 = 15 meters.

The highest point on the Ferris wheel is 15 + 4 = 19 meters above the ground.

The time spent higher than 28 meters is the time spent between the 12 o'clock and 8 o'clock positions.

The angle between these two positions is 180 degrees.

The time spent at each position is 10 minutes / 360 degrees * 180 degrees = 6 minutes.

Therefore, the total time spent higher than 28 meters is 6 minutes * 2 = 12 minutes.

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Answer:

the correct answer is 193

Step-by-step explanation:

25×1-0=25

25×2-1=49

49×2-1=97

97×2-1=193

Step 1:

When by either

f(x) or x is multiplied by a number, functions can “stretch” or “shrink” vertically or horizontally, respectively, when graphed.

In general, a vertical stretch is given by the equation

y=bf(x). If b>1, the graph stretches with respect to the y-axis, or vertically. If b<1, the graph shrinks with respect to the y-axis. In general, a horizontal stretch is given by the equation y=f(cx) If c>1, the graph shrinks with respect to the x-axis, or horizontally. If c<1, the graph stretches with respect to the x-axis.

Step 2:

The function is vertically stretched by a factor of 2.

Step 3:

A horizontal translation is generally given by the equation

y=f(x−a). These translations shift the whole function side to side on the x-axis.

Hence, the function is translated 6 units to the right

Final answer

Pattern A = 1, 4, 7, 10, 13

Pattern B = 1, 5, 9, 13, 17

Each term is increases at a faster rate in pattern B; the difference between terms increases by one per step. In pattern A, 1 jumps to 4, while in pattern B, 1 jumps to 5. There is a difference of one. But when in pattern A, 4 jumps to 7, in pattern B, 5 jumps to 9. The is a difference of two between these two terms even though they are on the same "jump." This difference increases by one per "jump." (Jump is not the official word for this but I'm assuming this isn't a sequence problem.)

Part A

The domain of a function represents the possible values of x which make the function exist.

hence when finding the domain of a function, the denominator cannnot be zero because it will become undefine and the square root sign must not be negative

Par B

the function given is

To find the domain, the denominator must not be zero

Hence 5/6 and -3 make the function undefine

Also, The function is undefined for all the values of x where

The function is undefined for all the values of x>9/7

Hence the domain of the function is given by

Therefore the domain of the function is (-∞ ,-3) U (-3,5/6) U (5/6,9/7)

Answer:

Ok, So....

Step-by-step explanation:

Since m3=74 that must mean that m4 and m1 are 74 because they are vertical angles. and since m2 is a vertical angle of m1 it is also 74. Then you have m8 m6 m7 m5 which are suplementary to them meaning they sum to 180 and since m3+m8=180, 74+m8=180. m8=180-74.

m8=m7=m6=m5= 106

I hope this helped!

The point where two lines meet is known as an angle.

From the diagram shown, we can see that l is parallel to m

Given

Based on geometry:

m<3 = m<4 = 74 degrees (vertically opposite)

m<3 = m<1 = 74 degrees (corresponding angles)

m<1 = m<2 = 74degrees (vertically opposite angles)

m<1 and <6 are supplementary, that is:

m<1 + m<6 = 180

74 + m<6 = 180

m<6 = 180 - 74

m<6 = 106degrees

Similarly:

m<2 and <5 are supplementary, that is:

m<2 + m<5 = 180

74 + m<5 = 180

m<5 = 180 - 74

m<5 = 106degrees

Also, m<4 and <7 are supplementary, that is:

m<4 + m<7 = 180

74 + m<7 = 180

m<7 = 180 - 74

m<7 = 106degrees

m<7 = m<8 = 108 degrees (vertically opposite angles)

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The probability that exactly 2 of the workers interviewed are union members is approximately 0.044.

To solve this problem, we can use the binomial probability formula, which is:

\(P(X = k) = (n choose k) * p^k * (1 - p)^(n - k)\)

where:

n is the sample size (number of workers being interviewed)

k is the number of successes we are interested in (in this case, 2 of the workers being union members)

p is the probability of success (in this case, the probability that a worker is a union member)

(n choose k) is the binomial coefficient, which represents the number of ways to choose k items from a set of n items (this can be calculated using the formula n! / (k! * (n - k)!))

Plugging in the values, we get:

\(P(X = 2) = (4 choose 2) * (0.96)^2 * (1 - 0.96)^(4 - 2)\)

\(= (6) * (0.96)^2 * (0.04)^2\)

= 0.04403136

Therefore, the probability that exactly 2 of the workers interviewed are union members is approximately 0.044.

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       A) -  Event  "A  or  B"  Consists  of  the Outcomes:

               {2, 3, 4, 5, 6, 8}

      B) - Event  "A  or  "B"  Consists  of the Outcomes:

             {4,  6}

      C) -  The "COMPLEMENT  of EVENT  "A"  Consists of the Outcomes:

             {1, 3, 5, 7}

MAKE A PLAN:

List The OUTCOMES for EACH EVENT and their COMBINATIONS:

        a) -  EVENT  "A":  {2, 4, 6, 8}

               EVENT "B":   {3, 4, 5, 6}

               EVENT "A" or "B": {2, 3, 4, 5, 6, 8}

        b) - EVENT "A"  or "B":  {4, 6}

        c) -  The COMPLEMENT of the EVENT "A":  {1, 3, 5, 7}

       A) -  Event  "A  or  B"  Consists  of  the Outcomes:

               {2, 3, 4, 5, 6, 8}

      B) - Event  "A  or  "B"  Consists  of the Outcomes:

            {4,  6}

      C) - The "COMPLEMENT  of EVENT  "A"  Consists of the Outcomes:

             {1, 3, 5, 7}

I hope this helps!

Answer:

Graph is below

Step-by-step explanation:

I am going to use 3 points to make this graph

(0,0)

(-1,3)

(1,3)

Answer:

(0,0), (-1,3), (1,3)

Step-by-step explanation:

The graph is below!

Hope this helps!!!!!!!!!!!!

Check the picture below.

so the surface area of the pyramid will be the sum of the areas of the base and the four triangular faces.

\(\stackrel{\textit{\Large Areas}}{\stackrel{\textit{4 triangular faces}}{4\left[ \cfrac{1}{2}(7.5)(16) \right]}~~ + ~~\stackrel{\textit{rectangular base}}{(7.5)(7.5)}}\implies 240~~ + ~~56.25\implies 296.25~ft^2\)