Goodmorning everyone! Would somebody help me asap?!!

The factors in the word problem for the amount of fat in the ice cream

combination are given by the fat in each constituent.

Reasons:

The given parameters are;

Let C represent the amount of fat in Cherry ice-cream, and let M represent

the amount of fat in Mint Chocolate Chunk ice-cream, we get;

2·C + M = 71...(1)

C + 2·M = 61...(2)

Multiplying equation (1) by 2 and then subtracting equation (2) from the

result gives;

2 × (2·C + M) = 2 × 71

4·C + 2·M = 142...(3)

(4·C + 2·M) - (C + 2·M) = 142 - 61

3·C = 81

\(C=\dfrac{81}{3} =27\)

The amount of fat in Cherry ice-cream C = 27 grams

2 × 27 + M = 71

M = 71 - 2 × 27 = 17

The amount of fat in the Mint Chocolate Chunk ice-cream, M = 17 grams

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\(4x^2+20x-24 = 4x^2-4x+24x-24 = 4x(x-1)+24(x-1) = (4x + 24)(x-1)\\\)

\(= 4(x+6)(x-1)\)

Answer:

f(x) = x³ - 4x + 6

f'(x) = 3x² - 4

a) f'(2) = 3(2²) - 4 = 12 - 4 = 8

6 = 8(2) + b

6 = 16 + b

b = -10

y = 8x - 10

b) 3x² - 4 = 0

3x² = 4, so x = ±2/√3 = ±(2/3)√3

= ±1.1547

f(-(2/3)√3) = 9.0792

f((2/3)√3) = 2.9208

c) 3x² - 4 = 8

3x² = 12

x² = 4, so x = ±2

f(-2) = (-2)³ - 4(-2) + 6 = -8 + 8 + 6 = 6

6 = -2(8) + b

6 = -16 + b

b = 22

y = 8x + 22

f(2) = 6

y = 8x - 10

The equation perpendicular to the tangent is y = -1/8x + 25/4

-The smallest slope on the curve is 2.92

The curve has the smallest slope at the point (1.15, 2.92)

The equations at tangent points are y = 8x + 16 and  y = 8x - 16

From the question, we have the following parameters that can be used in our computation:

y = x³ - 4x + 6

Differentiate

So, we have

f'(x) = 3x² - 4

The point is (2, 6)

So, we have

f'(2) = 3(2)² - 4

f'(2) = 8

The slope of the perpendicular line is

Slope = -1/8

So, we have

y = -1/8(x - 2) + 6

y = -1/8x + 25/4

We have

f'(x) = 3x² - 4

Set to 0

3x² - 4 = 0

Solve for x

x = √[4/3]

x = 1.15

So, we have

Smallest slope = (√[4/3])³ - 4(√[4/3]) + 6

Smallest slope = 2.92

So, the smallest slope is 2.92 at (1.15, 2.92)

Here, we set f'(x) to 8

3x² - 4 = 8

Solve for x

x = ±2

Calculate y at x = ±2

y = (-2)³ - 4(-2) + 6 = 6: (-2, 0)

y = (2)³ - 4(2) + 6 = 6: (2, 0)

The equations at these points are

y = 8x + 16

y = 8x - 16

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Answer:

Step-by-step explanation:

Perimeter:  

     \(P=(x+y+z) \ cm\)

Semi-perimeter:

     \(SP=\frac{1}{2} (x+y+z) \ cm\)

Answer:

65

Step-by-step explanation:

The lines are parallell so m1 = m5, and m3=m8. 180-115 is 65

Answer:

60 degrees

Step-by-step explanation:

all angles of an equilateral triangle are 60 degrees

Answer:

x=60

Step-by-step explanation:

We know that since all sides are the same, all angles are the same.

x=angle

(180) is the amount of degrees when you add up all of the angles in the triangle

3x=180

x=60

The 95th percentile of the actual losses that exceed the deductible is given as follows:

$1,198.

The exponential probability distribution, with mean m, is described by the following equation:

\(f(x) = \mu e^{-\mu x}\)

In which \(\mu = \frac{1}{m}\) is the decay parameter.

The probability of obtaining a value lower than x is given as follows:

\(P(X \leq x) = 1 - e^{-\mu x}\)

Losses incurred follow an exponential distribution with a mean of $396, hence the decay parameter is of:

\(\mu = \frac{1}{396}\)

\(\mu = 0.0025\)

The 95th percentile is x for which P(X < x) = 0.95, hence:

0.95 = 1 - e^(-0.0025x)

e^(-0.0025x) = 0.05

x = -ln(0.05)/0.0025

x = $1,198.

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A possible hypothesis for this study is: "The organic pesticide Z will reduce the number of grasshoppers in cornfields compared to water treatment alone."

The purpose of conducting this experiment is to determine if the new organic pesticide Z is effective at killing grasshoppers that typically invade cornfields and to study its effect on reducing the number of grasshoppers.

The independent variable in the experiment is the treatment with organic pesticide Z.

The dependent variable in the experiment is the number of grasshoppers in the cornfield.

The west field treated only with water is the control group.

It is important to have a control group in the experimental design because it provides a baseline comparison for evaluating the effect of the treatment.

The most accurate conclusion is: "If a cornfield is sprayed with pesticide Z, it will have fewer grasshoppers 10 weeks later."

Based on the results, my recommendation to the farmer would be to spray the cornfield with pesticide Z to decrease the number of grasshoppers in the cornfield.

The stages of the scientific method in order from first to last are: Make observations about nature, formulate hypothesis, conduct experiments, analyze data, reject or accept hypothesis.

This is an example of making observations about nature.

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A repeating decimal is acceptable to use during calculations when you require a certain level of precision

A repeating decimal is acceptable to use during calculations when you require a certain level of precision, but it's important to keep in mind that the result will be an approximation rather than an exact value.

It is commonly used in situations where a rounded value is sufficient and the level of precision doesn't significantly impact the final result.

On the other hand, you should convert a repeating decimal to a fraction for calculations when you need an exact value or when further mathematical operations or comparisons are required.

Converting a repeating decimal to a fraction allows for precise calculations and eliminates any potential rounding errors associated with working with decimal approximations.

Converting a repeating decimal to a fraction involves identifying the repeating pattern and expressing it as a fraction. This allows for exact calculations and maintains the mathematical properties of fractions.

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Answer:

360°

Step-by-step explanation:

The sum of the exterior angles of any n-gon is 360°

Answer:

I don't know how helpful I'll be, sorry :(

Step-by-step explanation:

So the scale factor is 1/4 reduction because the triangle P'Q'R' is smaller than the original. When reflecting the triangle P'Q'R' over the Y axis, you'll have P"Q"R". The graphing might be a little confusing but it's just a vertical reflection.

P" = (-1,0)

Q"= (0,-1)

R"= (2,-1)

Triangles PQR and P"Q"R" are not congruent because P"Q"R" has had a 1/4 reduction and a vertical reflection.

The estimated regression equation developed in part (a) was found to be an effective predictor of overall customer satisfaction, as indicated by the significant F and t test results.

The estimated regression equation developed in part (a) to predict overall customer satisfaction is given by:

Overall Satisfaction = 0.3151*Trade Price + 0.3132*Speed of Execution + 1.5026

The coefficient of determination (R2) is a measure of how well the equation fits the data and is calculated as the proportion of the variation in overall satisfaction that is explained by the model. In this case, the R2 = 0.39, which means that 39% of the variation in overall satisfaction can be explained by the trade price and speed of execution variables.

To determine the overall significance of the relationship, the F test was used. The F statistic was calculated to be 17.874, which was significant at the 0.05 level (p-value = 0.000), indicating that the model was an effective predictor of overall customer satisfaction.

The t tests were then used to determine the significance of each independent variable. The t statistic for Trade Price was 2.639 (p-value = 0.009), indicating that the variable was significant at the 0.05 level, while the t statistic for Speed of Execution was 2.565 (p-value = 0.012), indicating that the

The estimated regression equation developed in part (a) was found to be an effective predictor of overall customer satisfaction, as indicated by the significant F and t test results.

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Answer:

B) 6/√3

Step-by-step explanation:

It’s a 30-60-90 triangle, so you take the 6 and divide it by the square root of three.

Answer:

6.8333333333 or 41/6

Step-by-step explanation:

Answer:

From Thursday to Friday, the change in the depth was 19/16 inches

or as a mixed number, 1 3/16 inches

Step-by-step explanation:

From Monday to Thursday, the depth of a snowdrift changed by 2 3/8 inches

now, 2 3/8 = 2(8/8)+(3/8) = 16/8 + 3/8 = (16+3)/8

so, 2 3/8 = 19/8 inches = depth change from monday to thursday

From Thursday to Friday, the depth changed by half as much,

so,

depth change from Thursday to Friday = 1/2(depth change from Monday to Thursday)

depth change from thursday to friday = 1/2(19/8) = 19/16 inches

It's asking  would not be a solution soo

(-10, -9) as you can see

You're welcome thank me later

Answer:

1.) V=πr2h=π·6.52·16≈  2123.71663, rounded= 2123.72

2.)V=πr2h=π·22·3≈37.69911, rounded= 37.80, or 37.8

3.) V=πr2h=π·12·3≈9.42478, rounded= 9.42

4.)70.69

5.)V=πr2h=π·3.82·3≈136.09379, rounded= 136.09

Answer:

3= 25 4= 20 25= 5

Step-by-step explanation:

its a pattern. the top goes up by ones and the bottom goes up by fives.

The answers are:

27. P(6) = 0.2 , 28. P(even number) = 0.6 , 29. P(6) = 1/10 , 30. P(even number) = 5/10 = 0.5

The experimental probability of getting a 6 is 0.2, because 2 out of 50 displays were 6s.

The experimental probability of getting an even number is 0.6, because 30 out of 50 displays were even numbers.

The theoretical probability of getting a 6 is 1/10, because there is 1 chance out of 10 that the calculator will display a 6.

The theoretical probability of getting an even number is 5/10, because there are 5 chances out of 10 that the calculator will display an even number.

As you can see, the experimental probabilities are close to the theoretical probabilities. This is because the calculator was programmed to randomly display a digit from 0 to 9, so the results should be evenly distributed. However, there is always some chance of variation, so the experimental probabilities may not be exactly equal to the theoretical probabilities.

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Answer:

A. Margin of error=0.0346

B. Confidence interval=0.4854 to 0.5546

Step-by-step explanation:

A. Computation the margin of error

First step is to calculate the Confidence level using this formula

Confidence level= 1 -α

Where,

α=0.95

Let plug in the formula

Confidence level= 1-0.95

Confidence level= 0.05

Second step is to find Z using this formula

Zα/2

Let plug in the formula

Z= 0.05/2

Z=0.025

Third step is to find the Z score of Z=0.025

Zα/2=1.96

Now let calculate the margin of error using this formula

Margin of error=Zα/2√p(1-p)/n

Where,

Zα/2=1.96

p=0.52

n=800

Let plug in the formula

Margin of error=1.96√0.52(1-0.52)/800

Margin of error=1.96√0.52(0.48)/800

Margin of error=1.96√0.2496/800

Margin of error=1.96√0.000312

Margin of error=0.0346

Therefore Margin of error will be 0.0346

B. Computation for the 95% confidence interval for the proportion of companies likely to require higher employee contributions for health care coverage in 2009

Computation for the boundaries of confidence interval

Using this formula

p- Zα/2√p(1-p)/n

Where,

Zα/2=1.96

p=0.52

n=800

Let plug in the formula

Confidence interval=0.52-1.96√0.52(1-0.52)/800

Confidence interval=0.52-1.96√0.52(0.48)/800

Confidence interval=0.52-1.96√0.2496/800

Confidence interval=-0.52-1.96√0.000312

Confidence interval=0.4854

Computation for the boundaries of confidence interval

Using this formula

p+ Zα/2√p(1-p)/n

Where,

Zα/2=1.96

p=0.52

n=800

Let plug in the formula

Confidence interval=0.52+1.96√0.52(1-0.52)/800

Confidence interval=0.52+1.96√0.52(0.48)/800

Confidence interval=0.52+1.96√0.2496/800

Confidence interval=-0.52+1.96√0.000312

Confidence interval=0.5546

Therefore the 95% confidence interval for the proportion of companies likely to require higher employee contributions for health care coverage in 2009 is 0.4854 to 0.5546

Answer:

Step-by-step explanation:

if 2 is 3 away from 5 then the answer must be 8 and if 6 is 6 away from 12 just add 6 it must be 18

so answer is (8,18)

Answer:

Yes.

Step-by-step explanation:

3.5 + 5.5 > 7.8

Answer:

A) $648 B) $33,696

Step-by-step explanation:

attached

Answer:

.5

Step-by-step explanation:

30 miles a hour divide by 60 so your going half a mile a minute

Your speed in feet per minute is 2640 ft/min.

A unit rate means a rate for one of something.

Given that, Your rate of speed is 30 miles for every 1 hour

We know, 1 mile = 5280 feet

Therefore, 30 miles = 30x5280 = 158400 feet

That means, you are travelling 158400 feet for every hour

In an hour, there are 60 minutes,

Therefore, you are travelling 158400 feet in every 60 minutes.

In 60 minutes = 158400 feet

In 1 minute = 158400/60 = 2640 feet

That means you are travelling 2640 feet in every 1 minute.

Hence, your speed in feet per minute is 2640 ft/min.

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The detailed answer of this question is:

P(X > 100 | X > 50)=0.455

Given that X follows an exponential distribution, we know that the probability density function (PDF) of X is given by:

f(x) = λe^(-λx) for x ≥ 0

where λ is the rate parameter of the distribution.

We are given that P(X < 50) = 0.25. Using the cumulative distribution function (CDF) of X, we can write:

P(X < 50) = 1 - e^(-λ*50) = 0.25

Solving this equation for λ, we get:

λ = -ln(0.75)/50 ≈ 0.0278

Now, we are asked to find P(X > 100 | X > 50). Using the definition of conditional probability, we can write:

P(X > 100 | X > 50) = P(X > 100 and X > 50) / P(X > 50)

= P(X > 100) / P(X > 50)

= e^(-λ100) / e^(-λ50)

= e^(-λ*50)

Substituting the value of λ, we get:

P(X > 100 | X > 50) = e^(-0.0278*50) ≈ 0.455

Therefore, the probability that a high-risk driver will have an accident after 100 days given that they have not had an accident for the first 50 days is approximately 0.455.

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Answer:

the answer might be b why didnt i get  brainlest :(

Step-by-step explanation:

Answer:

minutes/mile

minutes=7.5-2.5

=55

55/10

5.5 minutes per mile

Answ

70

Step-by-step explanation:

Answer:

80

Step-by-step explanation:

just took the quiz