PLEASE HELP ASAP!!! :)) ITS EASY

Answer:

three hundred fifteen meters per second

Step-by-step explanation:

The length of the three congruent sides is 7 cm and the fourth side length is 12cm.

Given quadrilateral has three congruent sides and perimeter of quadrilateral is 33 cm.

A quadrilateral can be expressed as ABCD and three congruent sides are AB, BC, CD and the fourth side is AD.

Let AD=x

then AB=BC=CD=x-5

This means if all the sides of a quadrilateral are known, we can get its perimeter by adding all its sides.

So, Perimeter = AB + BC + CD + DA.

Substitute values

(x-5)+(x-5)+(x-5)+x=33

4x-15=33

    4x= 48

     x=12

Hence the fourth side length is 12cm and the other sides are 7 cm longer.

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Answer:

i think it would be the whole pizza i think that is correct

Step-by-step explanation:

Answer: the third person did not eat anything.

Step-by-step explanation: because there would be no more pizzas left

Answer:

Step-by-step explanation:

To write the equation of the line that goes through the points (4, -6) and (1, 2) in slope-intercept form, we can use the slope-intercept form of a linear equation: y = mx + b.

To find the slope of the line, we can use the formula:

m = (y2 - y1) / (x2 - x1)

Plugging in the values, we get:

m = (2 - (-6)) / (1 - 4)

= 8 / -3

= -2.67

The slope of the line is therefore -2.67.

Now that we know the slope of the line, we can use the point-slope form of a linear equation to find the equation of the line:

y - y1 = m(x - x1)

Plugging in the values, we get:

y - (-6) = (-2.67)(x - 4)

We can then simplify the equation by combining like terms:

y + 6 = -2.67x + 10.67

Finally, we can rewrite the equation in slope-intercept form by solving for y:

y = -2.67x + 16.67

So the equation of the line that goes through (4, -6) and (1, 2) in slope-intercept form is y = -2.67x + 16.67.

I hope this helps! Let me know if you have any questions.

Answer: y= -8/3x + 14/3

Step-by-step explanation:

Slope–Intercept Form is y= mx + b

We see that the y increased by 8 and the x decreased by 3, so our slope is -8/3

The y-intercept is located at 14/3

So our answer is y= -8/3x + 14/3

The new functions are:

(f + g)(x) = 3x - 4

(g - h)(x) = 6x - 4

(f o g)(x) = 2x - 4

(g o h)(x) = -8x - 1

And the value of (f-g)(3) = -2.

To find new functions, we can combine the given functions using arithmetic operations.

(f + g)(x) = f(x) + g(x) = (x - 1) + (2x - 3) = 3x - 4

(g - h)(x) = g(x) - h(x) = (2x - 3) - (1 - 4x) = 6x - 4

(f o g)(x) = f(g(x)) = f(2x - 3) = (2x - 3) - 1 = 2x - 4

(g o h)(x) = g(h(x)) = g(1 - 4x) = 2(1 - 4x) - 3 = -8x - 1

To find (f-g)(3), we need to evaluate the function (f - g) at x = 3:

(f - g)(3) = f(3) - g(3) = (3 - 1) - (2(3) - 3) = 1 - 3 = -2

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The given question is incomplete, the complete question is

If  f(x) = x -1, g(x) = 2x - 3, and h(x) = 1 - 4x, find the following new functions, as well as any values (f-g)(3)

(f + g)(x)

(g - h)(x)

(f o g)(x)

(g o h)(x)

Answer:

\(\%Increase = 25\%\)

Step-by-step explanation:

Given

\(Last\ Year = 120\)

\(This\ Year = 150\)

Required

Determine the percentage increase

This is calculated as thus:

\(\%Increase = \frac{This\ Year - Last\ Year}{Last\ Year} * 100\%\)

\(\%Increase = \frac{150 - 120}{120} * 100\%\)

\(\%Increase = \frac{30}{120} * 100\%\)

\(\%Increase = 0.25 * 100\%\)

\(\%Increase = 25\%\)

For this problem, let's pick (2x - 4) and (3x + 7) as the two binomial factors.

To multiply two binomials, we use the FOIL method, which stands for First, Outer, Inner, Last.

First: Multiply the first term of each binomial together, which gives 2x × 3x = 6x²

Outer: Multiply the outer terms of each binomial together, which gives 2x × 7 = 14x

Inner: Multiply the inner terms of each binomial together, which gives -4 × 3x = -12x

Last: Multiply the last term of each binomial together, which gives -4 × 7 = -28

Then, we combine the like terms to get the final result:

(2x - 4)(3x + 7) = 6x² + 14x - 12x - 28 = 6x² + 2x - 28

To factor by grouping, we first group the terms in pairs:

(2x - 4)(3x + 7) = (2x + ?)(3x + ?)

We want to fill in the question marks with two numbers that multiply to give 6x² and add up to 2x. The numbers are 6x and 1x:

(2x - 4)(3x + 7) = (2x + 6x)(3x + 1) - 4(3x + 1) = (2x + 6x - 4)(3x + 1) = 2( x + 3 )( 3x + 1 )

The expressions in 2) and 3) are the same because they are both equivalent forms of the same polynomial. The FOIL method in step 2) expands the polynomial, while the factor by grouping method in step 3) breaks it down into its factors. Since multiplication is distributive over addition, the product of the factors in step 3) can be expanded using the distributive property to give the polynomial obtained in step 2).

Answer: Undefined

The x coordinates are the same, so a vertical line forms. All vertical lines have undefined slopes.

We can see it through the slope formula

m = (y2-y1)/(x2-x1)

m = (3-(-6))/(2-2)

m = (3+6)/(2-2)

m = 9/0

We cannot divide by zero, so the result is undefined.

Answer:

0 (horizontal line)

Step-by-step explanation:

(2,-6) (2,3)

m= 3-(-6)/ 0= 9/0= 0

Answer:

a) 1000000 grams

b) 1300000 grams

Step-by-step explanation:

a) 1000 x 1000 = 1000000 grams

b) 1.3 x 1000000 = 1300000 grams

hope this helps! :)

Answer:

it's 1,300,000 grams

Step-by-step explanation:

based on the rule

(a) The Null Hypothesis (H₀): The average assembly time for kitchen cabinets is 45 minutes.

Alternative Hypothesis (Hₐ): The average assembly time for kitchen-cabinets is not 45 minutes.

(b) The critical-value is 1.979,

(c) The test-statistics is 2.236,

(d) we reject "null-hypothesis" as 2.236 > 1.979,

(e) The conclusion is that, there is overwhelming evidence to contradict the first line supervisor's belief that the average assembly-time is 45 minutes.

The "first-line" supervisor believes it take 45 minutes on average to complete, So,

Part (a) : The Null Hypothesis (H₀): The average assembly time for kitchen cabinets is 45 minutes.

Alternative Hypothesis (Hₐ): The average assembly time for kitchen cabinets is not 45 minutes.

To conduct the hypothesis test, we use a one-sample t-test because the population standard deviation is known.

Significance level (α) = 0.05

Part (b) : Critical value:

For α = 0.05, and degree-of-freedom as 125-1 = 124, the critical-value is 1.979,

Part (c) : Test-Statistic:

The "test-statistic" for a one-sample t-test is calculated as:

t = (x' - μ)/(σ/√n), where x' = sample mean, μ = population mean, σ = population standard deviation, and n is sample-size.

Given that x' = 47, μ = 45, σ = 10, and n = 125, we calculate test-statistic as,

t = (47 - 45)/(10/√125),

t = 2 / (10/11.18),

t ≈ 2.236

Part (d) : Decision:

The critical-values can be determined based on degrees-of-freedom (124) and significance-level of 0.025. Let us denote critical-values as t'.

We see that 2.236 > 1.979, that is |t| > t', So, we reject null-hypothesis.

Part (e) : Conclusion:

Compare the calculated test statistic (2.236) with the critical values, we reject "null-hypothesis", indicating that there is overwhelming evidence to contradict the first line supervisor's belief that the average assembly time is 45 minutes.

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The given question is incomplete, the complete question is

In preparation for upcoming wage negotiations with the union, the mangers for the Bevel Hardware Company want to establish the time required to assemble a kitchen cabinet. A first line supervisor believes it take 45 minutes on average to complete. A random sample of 125 cabinets has an average assembly time of 47 minutes. The population standard deviation is known to be 10 minutes.

Conduct a hypothesis test to determine if there overwhelming evidence that to contradict the first line supervisor’s belief at a 0.05 significance level?

(a) State the hypothesis (null and alternative)

(b) Determine the critical value

(c) Calculate the test statistics

(d) Make a decision to reject or fail to reject the null hypothesis

(e) State the conclusion in terms of the original question.

Answer:

a) x=3

y=6*3+4

=22

b) x=4

y=6*4+4

=24

c) x=6

y=6*6+4

=40

d) x=7

y=6*7+4

=46

Answer: Fractions, decimals, and percents are all different ways of representing the same value. They are interchangeable because they represent the same proportion or part of a whole.

To convert a decimal to a percent, we multiply the decimal by 100 and add a percent sign. For example, the decimal 0.75 can be converted to a percent by multiplying it by 100, which gives 75, and adding a percent sign, which gives 75%.

When changing from a decimal to a percent, the decimal point is moved two places to the right. For example, if we have the decimal 0.75, we move the decimal point two places to the right to get 75, and then add the percent sign to get 75%.

In summary, the reason we can change between fractions, decimals, and percents is that they are different representations of the same value. When changing from a decimal to a percent, we move the decimal point two places to the right.

Step-by-step explanation: :)

Answer:

\(f(x)=\sqrt[3]{x+5}-2\)

Step-by-step explanation:

The parent cube root function is \(f(x)=\sqrt[3]{x}\).

It is symmetric about the origin (0, 0).

From inspection of the given graph, the graphed function is symmetric about point (-5, -2). Therefore, the parent function has been translated 5 units left and 2 units down.

When translating a function "a" units to the left, add "a" to the x-value.

When translating a function "a" units down, subtract "a" from the function.

Therefore, the equation of the graphed function is:

\(f(x)=\sqrt[3]{x+5}-2\)

The equivalent to the product is 4\(x^{2}\).

When `x > 0`, the choice that is equivalent to the product √2x² · √4x is 4x².

Here's why:√2x² · √4x = √(2x² * 4x) = √(8x³)

Now, it is possible to simplify the equation by factoring the radicand:

√(8x³)

= √(4 * 2 * x² * x)

= √(4 * 2 * x² * x)

= √4 * √2 * x * x²

= 2x√2 * x²

Since x > 0, the equivalent choice is 4x² since `2x * x² = 2x^3` and `4x^2 = 2x^2 * 2`.

Hence, 4x² is the correct answer.

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a. The estimate of the population mean is  1.87.

b. The estimated variance for the estimator from part a is 0.737.

c. The 95% confidence interval for the population mean is (0.80, 2.94).

a. To find the estimate of the population mean, we need to calculate the weighted mean of the stratum means:

\($\bar{y}{st} = \frac{\sum\limits{h=1}^{H}n_h\bar{y}h}{\sum\limits{h=1}^{H}n_h}$\)

where $\bar{y}_h$ is the sample mean for stratum $h$, $n_h$ is the sample size for stratum $h$, and $H$ is the number of strata.

From the given information, we can calculate:

y = 0.6

y2 = 1.6

y3 = 2.8

n1 = 4

n2 = 20

n3 = 9

Using the formula above, we get:

\($\bar{y}_{st} = \frac{(4)(0.6) + (20)(1.6) + (9)(2.8)}{4 + 20 + 9} \approx 1.87$\)

Therefore, the estimate of the population mean is 1.87.

b. To find the estimated variance for the estimator from part a, we can use the following formula:

\($\widehat{Var}(\bar{y}{st}) = \frac{\sum\limits{h=1}^{H}(n_h - 1)\widehat{Var}(\bar{y}h)}{(\sum\limits{h=1}^{H}n_h) - H}$\)

where\($\widehat{Var}(\bar{y}_h)$\) is the estimated variance of the sample mean for stratum h.

Using the formula for estimated variance of the sample mean for each stratum, we get:

\(\widehat{Var}(\bar{y}_1) = \frac{0.22^2}{4} \approx 0.0121$\\$\widehat{Var}(\bar{y}_2) = \frac{1.6^2}{20} \approx 0.128$\\$\widehat{Var}(\bar{y}_3) = \frac{4.0^2}{3} \approx 5.333$\)

Substituting these values into the formula for the estimated variance of the stratified sample mean, we get:

\($\widehat{Var}(\bar{y}_{st}) = \frac{(3)(0.0121) + (19)(0.128) + (8)(5.333)}{33 - 3} \approx 0.737$\)

Therefore, the estimated variance of the estimator from part a is 0.737.

To find the 95% confidence interval for the population mean, we can use the following formula:

\($\bar{y}{st} \pm t{\alpha/2,df} \sqrt{\widehat{Var}(\bar{y}_{st})}$\)

where\($t_{\alpha/2,df}$\) is the t-score for the desired level of confidence and degrees of freedom\($df = (\sum\limits_{h=1}^{H}n_h) - H$.\)

c. For a 95% confidence interval with df = 33 - 3 = 30, the t-score is approximately 2.042. Substituting the values we calculated above, we get:

\($1.87 \pm 2.042 \sqrt{0.737} \approx (0.80, 2.94)$\)

Therefore, the 95% confidence interval for the population mean is (0.80, 2.94).

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Answer:the answer could possibly be 28 I think:)

The variance is approximately 2.16, the standard deviation is approximately 1.47, and the IQR is 2.

To find the variance, IQR, and standard deviation of the given sample, we can follow these steps:

Calculate the mean (average) of the sample:

Mean = (4 + 3 + 2 + 1 + 5 + 1 + 5 + 3 + 2 + 5 + 4 + 4 + 4 + 2 + 3) / 15 = 3.2

Calculate the squared differences from the mean for each observation:

(4 - 3.2)^2, (3 - 3.2)^2, (2 - 3.2)^2, (1 - 3.2)^2, (5 - 3.2)^2, (1 - 3.2)^2, (5 - 3.2)^2, (3 - 3.2)^2, (2 - 3.2)^2, (5 - 3.2)^2, (4 - 3.2)^2, (4 - 3.2)^2, (4 - 3.2)^2, (2 - 3.2)^2, (3 - 3.2)^2

Calculate the variance:

Variance = Sum of squared differences / (Number of observations - 1)

Calculate the standard deviation:

Standard Deviation = Square root of the variance

To find the IQR, first, arrange the sample in ascending order:

1, 1, 2, 2, 2, 3, 3, 4, 4, 4, 4, 4, 5, 5, 5

Find the median (middle value) of the lower half and upper half of the ordered sample. If the number of observations is odd, exclude the median itself.

Lower half: 1, 1, 2, 2, 2

Upper half: 4, 4, 4, 4, 4, 5, 5, 5

Calculate the first quartile (Q1), which is the median of the lower half.

Q1 = (2 + 2) / 2 = 2

Calculate the third quartile (Q3), which is the median of the upper half.

Q3 = (4 + 4) / 2 = 4

Calculate the IQR:

IQR = Q3 - Q1

Now, let's perform the calculations:

Mean = 3.2

Squared differences from the mean:

(0.64, 0.04, 1.44, 6.76, 2.56, 6.76, 2.56, 0.04, 1.44, 2.56, 0.64, 0.64, 0.64, 1.44, 0.04)

Variance = (0.64 + 0.04 + 1.44 + 6.76 + 2.56 + 6.76 + 2.56 + 0.04 + 1.44 + 2.56 + 0.64 + 0.64 + 0.64 + 1.44 + 0.04) / (15 - 1) ≈ 2.16

Standard Deviation = √2.16 ≈ 1.47

Ordered sample: 1, 1, 2, 2, 2, 3, 3, 4, 4, 4, 4, 4, 5, 5, 5

Lower half: 1, 1, 2, 2, 2

Upper half: 4, 4, 4, 4, 4, 5, 5, 5

Q1 = (2 + 2) / 2 = 2

Q3 = (4 + 4) / 2 = 4

IQR = Q3 - Q1 = 4 - 2 = 2

Therefore, the variance is approximately 2.16, the standard deviation is approximately 1.47, and the IQR is 2.

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Answer:

A) n=9

B)X=-7

C)m=-4

D)P=8

Step-by-step explanation:

A)24=-3+3n

move variable to the lefthand side &change its sign

-3n+24=-3

move the constant to the righthand side &change its sign

-3n=-3-24

calculate the difference

-3n=-27

devide both sides by-3

Solution:

n=9

B)11+4x=x-10

11+4x-x=-10

move variable to the lefthand side &change its sign

4x-x=-10-11

move constant to the righthand &change its sign

4x-x=-10-11

collect like terms

3x=-21

devide both sides of the equation by 3

solution :

x=-7

C)-216=1+7(1+8m)

multiply the parentheses by 7

-216=1+7+56m

add the numbers

-216=8m+56m

move variable to the lefthand side &change its sign

-56m-216=8

move constant to the righthand side &change its sign

-56m=8+216

add the numbers

-56m=224

devide both sides of the equation by -56

solution:

m=-4

D)3p-3(2-2p)=34+4p

multiply the parentheses by -3

3p-6+6p=34+4p

collect like terms

9p-6=34+4p

move the variable to the lefthand side &change its sign

9p-4p-6=34

move the constant to the righthand side &change its sign

9p-4p=34+6

collect like terms &calculate the sum

5p=40

devide both sides by 5

solution:

P=8

HiI hope this helps..

In a multiple regression model, the error term e is assumed to be normally distributed. This means that option (d) "be normally distributed" is the correct answer.

In multiple regression, the error term (also known as the residual) represents the discrepancy between the observed values and the predicted values of the dependent variable. It captures the unexplained variation in the data.

The assumption of normal distribution for the error term is a fundamental assumption in multiple regression analysis. It implies that the errors follow a normal distribution with a mean of zero and a constant variance. This assumption allows for the use of statistical inference techniques and hypothesis testing based on the properties of the normal distribution.

Therefore, in a multiple regression model, the error term e is assumed to be normally distributed, which aligns with option (d) as the correct answer.

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The length of Angela's pillow, which is filled with 0.35 m³ of fluffy material, can be determined by calculating the cube root of the volume.

The volume of the pillow is given as 0.35 m³. To find the length of the pillow, we need to calculate the cube root of this volume. The cube root of a number represents the value that, when multiplied by itself three times, equals the original number.

Using a calculator, we can find the cube root of 0.35. The result is approximately 0.692 m. Therefore, the length of Angela's pillow is approximately 0.692 meters.

The cube root is used here because the volume of the pillow is given in cubic meters. The cube root operation "undoes" the effect of raising a number to the power of 3, which is equivalent to multiplying it by itself three times. By taking the cube root of the volume, we can determine the length of the pillow.

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The inequality notation is x ≥ -6 and the number line is given below.

What is inequality?

A mathematical statement known as an inequality expresses the relationship between two quantities while indicating that they are not completely equal. The four symbols used to represent inequality are, ≥, >, <, and ≤. Many simple inequalities can be resolved by adding, subtracting, multiplying, or dividing both sides until the variable is all that remains. At last, we will get the final value of a variable.

Given, \(\frac{x}{2} \geq -3\)

When solving the above equation, then we get

or, x ≥ -6

Hence, the inequality notation is x ≥ -6 and the number line is given below.

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Answer:

Where is the number I need to round to?

(Please don't give me a bad rating i'm trying to help :) )

Answer:

5, 6, 7, 8

Step-by-step explanation:

substitute the values of x from the table into f(x)

f(1) = 1 + 4 = 5

f(2) = 2 + 4 = 6

f(3) = 3 + 4 = 7

f(4) = 4 + 4 = 8

the values of f(x) are 5, 6, 7, 8

Answer:

8 minutes.

Step-by-step explanation:

24x + 64y = 384, that represents the canned goods order .

where x = number of minutes spent producing fruit cans,

and y = number of minutes producing vegetable cans.

If the vegetable assembly line runs for 3 minutes, then put y=3 in equation we get

Therefore,  the fruit assembly line need to run to complete the order of 384 cans in 18 minutes.

Answer:

Substitute 3 into the equation for y. Solve for x and find that x = 8. So if cans of vegetables are processed for 3 minutes, fruit needs to be processed for 8 minutes to complete the 384-can order.

Step-by-step explanation:

Answer:

14 miles

Step-by-step explanation:

It's still 14 miles no matter which way you go.

Answer:

There are 5 spaces between point J and I

Point J is at (-7,-2)

Point I is at (-2,-2)

They have the same y value, but a difference of 5 in the x value. So, they are 5 units apart.

Answer:

\(8....on \: the \: first \: box \: and \\ 64......on \: the \: second \: box\)

Step-by-step explanation:

Greetings!!!

so first let's see how it comes by changing it into ratios

\( \frac{1}{4} ....the \: first \\ \frac{2}{8} cancel(simplify) = \frac{1}{4}...the \: second \)

Thus, following the same order

\( \frac{8}{32} simplify = \frac{1}{4} \\ \frac{16}{64} simplify = \frac{1}{4} \)

so we get the same ratios.

If any questions tag it on the comments.

Hope it helps!!!

The graph of the equation is attached below and this can be determined by using the formula of the volume of the cone and the slope-intercept form of the line

Given :

For cones with a radius of 6 units, the equation V=12h relates the height h of the cone, in units, and the volume V of the con, in cubic units.

The volume of the cone is given by the formula:

v = 1/3. π .r².h

Now, substitute the value of r in the above formula.

v = 12πh

Now, compare this equation with a slope-intercept form which is given by:

y = mx + c

where m is the slope and c is the y-intercept.

From comparing the equation, it can be concluded that:

y = V

x = h

c = 0

m = 12

Now, draw the graph of the line that passes through the origin. The graph is attached below.

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1) 1,3,4,7 dataset has the highest variance.

Variability is measured by the variance. The average of the squared deviations from the mean is used to calculate it. The degree of spread in your data set is indicated by variance. The variance is greater in respect to the mean the more dispersed the data.

to find the variance,

first step is to calculate the mean Next, take each data point and square the difference after subtracting the mean. All values' squared differences are added. Next, divide the total by the number of data points. this is the process to get the variance.

a) now given that a. 7, 8, 9, 10

\(mean = \frac{sum \: of \: al l\:data \: points \: }{ total \: number \: of \: data\: points \: } \)

\(mean = \frac{(7 +8 + 9 + 10) }{4} \)

mean = 8.5

now, take each data point and square the difference after subtracting the mean.

\((7 - 8.5) {}^{2} = 2.25 \\ (8 - 8.5) {}^{2} = 0.25 \\ (9 - 8.5) {}^{2} = 0.25 \\ (10 - 8.5) {}^{2} = 2.25\)

All values' squared differences are added.

2.25+0.25+0.25+2.25=5

Next, divide the total by the number of data points.

5/4 = 1.25

Hence the variance of 7,8,9,10 is 1.25

b) given that 1,3,4,7

mean = 3.75

variance = 18.75/4 = 4.68.

Hence the variance of 1,3,4,7 is 4.68

c) given that 4,2,1,0

mean= 1.75

variance= 2.1875

Hence the variance of 4,2,1,0 is 2.1875

D) given that 1,0,2,4

mean= 1.75

variance= 2.1875

Hence the variance of 1,0,2,4 is 2.1875

Therefore 1,3,4,7 dataset has the highest variance.

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