10. Write the equation of a line in slope-intercept form that passes
through the points (-2, 3) and (0,8).
y = mx + b
Equation:

The total surface area of the pyramid is 144 m².

The total surface area of the regular pyramid is calculated as follows;

Total surface area = area of the base + 3 (area of lateral surfaces)

The area of the base is calculated as follows;

A = ¹/₂bh

where;

A = ¹/₂bh

A = ¹/₂ x 10 m  x 8.7 m

A = 43.5 m²

The lateral surface area is calculated as follows;

L.S.A = 3 (¹/₂ bh)

where;

L.S.A = 3 (¹/₂ x 10 m x 6.7 m )

L.S.A = 100.5 m²

The total surface area of the pyramid is calculated as follows;

T.S.A =  100.5 m² + 43.5 m²

T.S.A = 144 m²

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The values of a, h and k for the  given quadratic function are:

a = -6, h = -5 and k = -1

What is vertex form?

This is one way of writing a quadratic function:

f(x) = a(x-h)² +k

(h, k) = vertex

a = vertical stretch

According to the given question:

We're given:

f(x)= -6x² - 60x - 151

To write a quadratic function in vertex form, we must complete the square.

⇒ Put parentheses around the first two terms containing x and x²:

f(x)= (-6x² - 60x) - 151

⇒ Factor out -6 (keeping the x's in the parentheses):

f(x)= -6(x² + 10x) - 151

⇒ To complete the square, add, inside the parentheses, the square of half the coefficient of x.

⇒ In this case, the coefficient of x is 10.

⇒ Half of this value is 5.

⇒ The square of 5 is 25.

⇒ Add this inside the parentheses:

f(x) =  -6(x² + 10x + 25) - 151

⇒ Now, we cannot randomly introduce a new value into a function. To balance the +25, subtract -6(25) outside the parentheses:

f(x) =  -6(x² + 10x + 25) - 151 - (-6 x 25)

f(x) =  -6(x² + 10x + 25) - 151 - (-150)

f(x) =  -6(x² + 10x + 25) - 151 + 150

f(x) =  -6(x² + 10x + 25) - 1

⇒ Finally, complete the square.

Remember: (a + b)² = a² + 2ab + b²

In this case, a is x, and b is 5:

f(x) = -6(x + 5)² - 1

On comparing with f(x) = a(x-h)² +k we get the values of a, h and k as:

a = -6

h = -5

k = -1

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\(\fbox{Hi\:there!\:Let\:me\:help\:you!}\)

\(\mathbb{HOPE\:IT\:HELPS!}\)

~Stargazing~

Okay, it seems like you want to analyze a sample of 16 babies based on their weight.

The information you provided states that the Center for Disease Control and Prevention reports that 25% of baby boys aged 6-8 months in the United States weigh more than 20 pounds.

However, you haven't mentioned the specific question or analysis you want to perform on the sample. Could you please clarify what you would like to know or do with the given information?

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Answer:

Max made a mistake in step 5.

He should have used division instead of multiplication.

Step-by-step explanation:

In step #5, he made the mistake of multiply 5/6 by 5/6. The reason why this doesn't work is because y is not a full y. When there isn't a number beside a variable, it is implied that it is 1y. To solve for y, you need 1y or else results or inaccurate.

In reality, 5/6 * 5/6 is equal to 25/36. If you divided 5/6 by 5/6, it is equal to 1, which makes y a full y.

Answer:

he made a lot of mistakes, but i'd say he used division instead of multiplication in step 5

(but the biggest mistake was adding 1/6 to both sides instead of multiplying by it)

Step-by-step explanation:

When graphing an exponential function, a T-chart is commonly used to determine the values. The correct answer is option A.

The T-chart employs positive real numbers since this is the most typical form of exponential function.

Exponential functions are utilized to represent processes that increase or decrease exponentially, as well as to model phenomena in many different disciplines, including science, economics, and engineering.

The exponential function can be represented by the following equation:

\(y=a^x\), where a is the base, x is the exponent, and y is the outcome.

When a is a positive number greater than one, the function is called exponential growth, while when a is a fraction between 0 and 1, the function is called exponential decay.

The T-chart is used to determine the values to use in the graph and connect the dots as required. Positive real numbers are used as the values in the T-chart in order to effectively graph the exponential function.

Therefore, the correct answer is option A.

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Therefore, \(-3/4 + 1 1/8 = 11/8\) or\(1 3/8\) as a mixed number in simplest form.

A fraction is a way of representing a part of a whole or a quantity that is not a whole number. It is expressed in the form of a numerator and a denominator separated by a line, called a fraction bar or a vinculum. The numerator is the top number in a fraction, and the denominator is the bottom number. The numerator represents the number of equal parts of a whole, and the denominator represents the total number of equal parts into which the whole is divided. For example, the fraction 3/4 represents three equal parts of a whole that is divided into four equal parts. Fractions can be used in many mathematical operations, such as addition, subtraction, multiplication, and division, and are an essential concept in mathematics.

Find \(-3/4+1 1/8\). Express your answer as a fraction or mixed number in simplest form.

To add -3/4 and 1 1/8, we first need to convert the mixed number to an improper fraction:

\(1 1/8 = 8/8 + 1/8 = 1 + 1/8 = 8/8 + 8/8 + 1/8 = 16/8 + 1/8 = 17/8\)

Now we can add the two fractions:

\(-3/4 + 17/8\)

To add these fractions, we need to find a common denominator, which is the least common multiple of the denominators 4 and 8, which is 8. We can convert -3/4 to an equivalent fraction with denominator 8 by multiplying the numerator and denominator by 2:

\(-3/4 = -6/8\)

Now we can add the two fractions:

\(-6/8 + 17/8 = 11/8\)

Therefore,\(-3/4 + 1 1/8 = 11/8 or 1 3/8\) as a mixed number in simplest form.

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Answer:

-2/3

Step-by-step explanation:

Graph the points, and then find the rise and run. The line goes from up to down, so the slope is negative!

The probability  that both bills are $1 is 0.76

Following the selection of one $1 bill, the remaining number of $1 bills in the bag is reduced to 19.

Based on statistical analysis, there is a high likelihood of selecting a $1 bill on the second attempt, with a confidence level of 95%.

The probability of drawing two $1 bills is mathematically deduced to be zero. The attainment of a numerical outcome of 76 is contingent upon the computation of the product derived from the probability of selecting a $1 bill during the initial endeavor, which stands at 4 out of 5, and the likelihood of selecting another $1 bill in a consequent endeavor, which amounts to 19 out of 20.

In an alternative expression, the probability of two bills being $1 bills simultaneously is 76%.

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The probability that chad gets at least 2 heads on 3 flips is 1/2 which was found using the sample space.

Given: To decide who will pay for lunch, Jeff and Chad decide to flip a coin three times. Chad chooses heads, and in order to win and have Jeff pay for his lunch, he must get heads at least twice out of three times.

Let,

H = Heads

T = Tails

Sample space =  {HHH, HTH,THH,TTH, HHT, HTT,THT,TTT​}

Total number of possible outcomes = 8

Probability that chad gets at least 2 heads is given as:

P(A)=P(getting two heads)+P(getting 3 heads)

= 3/8 + 1/8

= 4/8

= 1/2

Therefore,  the probability chad gets at least 2 heads on 3 flips is 1/2 which was found using the sample space.

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The regression model and the data, and I will be able to provide specific calculations and a Plagiarism-free response.

To compute the standard error of the estimate and perform the hypothesis test for B1, we need the regression model and the data. Without that information, it is not possible to provide specific calculations. However, I can explain the general procedure and concepts involved.

Standard error of the estimate (SE): The standard error of the estimate measures the average deviation between the observed values and the predicted values from the regression model. It is typically calculated as the square root of the mean squared error (MSE) or the residual sum of squares divided by the degrees of freedom.

Significance of B1: To test the significance of the coefficient B1, we perform a t-test using the t-distribution. The null hypothesis (H0) is that B1 is equal to zero, and the alternative hypothesis (H1) is that B1 is not equal to zero. We calculate the t-statistic by dividing the estimated coefficient B1 by its standard error. Then, we compare the t-statistic to the critical value from the t-distribution at the desired significance level (5% in this case).

Confidence interval for B1: To construct a confidence interval for B1, we use the t-distribution. The interval is calculated as B1 plus or minus the margin of error, which is the product of the standard error and the critical value from the t-distribution at the desired confidence level (99% in this case).the regression model and the data, and I will be able to provide specific calculations and a plagiarism-free response.

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Answer:

CA ≈ 3.1 ft

Step-by-step explanation:

Using the tangent ratio in the right triangle

tan40° = \(\frac{opposite}{adjacent}\) = \(\frac{BC}{CA}\) = \(\frac{2.6}{CA}\) ( multiply both sides by CA )

CA × tan40° = 2.6 ( divide both sides by tan40° )

CA = \(\frac{2.6}{tan40}\) ≈ 3.1 ft ( to the nearest tenth )

Answer:

5040 ways

Step-by-step explanation:

here we need to find the number of permutations of the 7 balls :

= 7!

= 7×6×5×4×3×2×1

= 5 040

Sure! Let's start by assigning variables to each runner's number of laps. Let L represent Lydia's laps, M represent Maureen's laps, and N represent Nancy's laps. Using the given information, we can create a system of three equations:

L + M = 12
M + N = 18
L + N = 10

To solve for L, M, and N, we can use substitution or elimination. Let's use elimination by adding the first and third equations:

(L + M) + (L + N) = 22
2L + M + N = 22

Now we can substitute the second equation into this equation:

2L + 18 = 22
2L = 4
L = 2

We can plug L = 2 into any of the original equations to solve for M and N. Let's use the first equation:

2 + M = 12
M = 10

And finally, we can solve for N using the second equation:

10 + N = 18
N = 8

Therefore, Lydia ran 2 laps, Maureen ran 10 laps, and Nancy ran 8 laps.

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Answer:

8.2 meters (8.18 without rounding)

Step-by-step explanation:

27 divided by 3.3 = 8.2 meters

Answer:

No solutions.

It invalidates his hypothesis because it is possible for the time a trip takes to depend on the distance that is traveled during the trip.

Option C is the right answer.

The missing graph has been attached with the answer.

These are Cartesian Points and it represents relationship between two variables.

It is given that

Will's Hypothesis is time can never be a dependent variable.

Although from the graph plotted it can be seen that the time is dependent on distance travelled and

the in a scatter plot , the dependent variable is plotted on y axis and here the time is plotted on y axis ,

therefore the scatter plot invalidate Willis’s hypothesis.

It invalidates his hypothesis because it is possible for the time a trip takes to depend on the distance that is traveled during the trip.

Option C is the right answer.

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Answer:

C) It invalidates his hypothesis because it is possible for the distance that is traveled during a trip to depend on the time that is spent traveling.

Step-by-step explanation:

got it right on edge :DD

Answer:

the third chouce

Step-by-step explanation:

Answer:

1.) 1/4

2.) 5/12 i am not sure about this one

Step-by-step explanation:

1.) Chance of tales:

Chance of even number: 3/6 or 1/2

Multiply: (1/2)(1/2) = 1/4

Answer:

Step-by-step explanation:

To find what the ratio would be, we need to know what to multiply 5 & 3 by so that when we add them, we get 80. Let's assume the number we multiply by is x:

5x + 3x = 80

8x = 80

x = 80 / 8

x = 10

Now, we multiply 5 by 10 and 3 by 10

= 50:30

Your ratio would be 50:30

Double check: 50 + 30 = 80

Answer:

It's......................

Hope this will help you.

Answer

32

Step-by-step explanation:

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Face validity refers to the superficial appearance of a measurement or assessment to accurately measure a concept, but it is not considered a true form of validity, although it can still positively impact a study's credibility and acceptance.

a) Face validity refers to the degree to which a measurement or assessment appears to accurately measure the concept it is intended to measure, based solely on its face value or superficial characteristics.

b) Face validity is not considered a true form of validity in the technical sense because it does not actually test the validity of the measurement or assessment through empirical evidence.

c) Despite its limitations, face validity can still be a positive attribute for a study because it can help to establish the credibility and acceptability of the measurement or assessment among potential users or participants. In the case of the study described in the question, the fact that the measures used in the study were face-valid, i.e., they appeared to measure the intended constructs, could increase the likelihood that participants would engage with the measures and that the results of the study would be seen as credible by the research community.

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The train has 12 carriages

Step-by-step explanation:

The total no. of seats =876

No. of seats per carriage =73

It is given that each carriage has equal seats

So,

Let the total no. of carriages be x

According to the given information,

\(73 \times x = 876\)

\(x = 876 \div 73\)

x = 12

Hence the number of carriages is 12

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It is not possible to find two numbers with two decimal places that round to 312 when rounded to one decimal place and have a total of 62.4.

To solve this problem systematically, we can break it down into smaller steps:

Let's assume the two numbers are x and y, both with two decimal places.

We can represent them as x = a.b and y = c.d, where a, b, c, and d are digits.

Rounding x and y to one decimal place gives us the following equations:

Round(x) = a.b ≈ 312

Round(y) = c.d ≈ 312

Since the total of the numbers is 62.4, we have the equation:

x + y = a.b + c.d

= 62.4

From Step 2, we know that both a.b and c.d are approximately equal to 312.

So, we can write:

a.b ≈ 312

c.d ≈ 312

Since a.b and c.d are rounded to one decimal place, we can rewrite them as:

a.b = 312 + p

c.d = 312 + q

p and q are the decimal parts that were rounded.

Substituting the new representations of a.b and c.d into the equation from Step 3, we get:

(312 + p) + (312 + q) = 62.4

Simplifying the equation gives us:

624 + (p + q) = 62.4

Solving for (p + q), we have:

p + q = 62.4 - 624

= -561.6

Since p and q are decimal parts, they must be between 0 and 1. -561.6 is outside this range, which means there are no values for p and q that satisfy the given conditions.

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Answer:i think its 115 degres

Step-by-step explanation:

Answer:

90

Step-by-step explanation:

It starts going up by 6. Then it goes up by 2 more than six. 6, 8, 10. Going up 2 more than last time. 2018 would be 12 more, or 76, and 2019 would be 14 more, or 90.

The time series component that exhibits a repeating pattern over successive periods, often one-year intervals is called the seasonal component.

The seasonal component is that portion of the variations in a time arrangement representing intra-year changes that are more or less steady year after year with regard to timing, direction, and magnitude. The seasonal component is additionally alluded to as the seasonality of a time series. The seasonal component reflects “normal” varieties that repeat each year to the same extent.

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The time series component that exhibits a repeating pattern over successive periods, often one-year intervals is called

A. a cyclical component

B. a trend component.

C. seasonal component.

D. irregular component.

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