If p is inversely proportional to the square of q, and p is 14 when q is 8, determine p when q is equal to 4.

Answer:

c. Yes because the cut-off is more than the sample mean

Step-by-step explanation:

The null and alternate hypotheses are

H0 : u= 3.5 ounces  vs Ha: u > 3.5 ounces

The mean and standard deviation of the sample are calculated to be 3.76 and 0.24

The test statistics is

t= x`- u/s√n

= 3.76-3.5/0.24/√10

= 0.26/0.07589

=3.426

The critical region for z test is  z > ± 2.33

The critical region for t test is   t > ± 2.82 for 9 d.f

For both the tests( z and t)   the test statistic =3.426 lies  in the critical region.

Hence we reject H0 and accept the hypothesis that  the new design is better than the old one at a level of significance of 1%.

cut-off = mean + 3 times the standard deviation

          =  3.76 + 3* 0.24

 cut-off     =4.48

Yes, the cut off is more than the sample mean.

So choice c is the best option.

Answer:

6x+6)(6+4)

Step-by-st(ep explanation:

nbpbf wefqlbwpoi

Answer:

y+7=2/7x-2/7

Step-by-step explanation:

So we first want to find the slope. It's calculated by taking the difference in y values and dividing it by the difference in x values.

-9-(-7)/-6-1

=-9+7/-7

=-2/-7

=2/7.

This is the m in the point-slope equation.

Next, we just plug in the points. We only need 1 point so I will use the (1,-7)

y-y1=m(x-x1)

y-(-7)=2/7(x-1)

y-(-7)=2/7x-2/7

y+7=2/7x-2/7

I've never really seen fully reduced point-slope form, but I'm assuming the above is it because if I keep simplifying it's going to turn into slope-intercept form.

Step 1

Name the sides of the triangle.

Hypotenuse = 6, the side facing right angle

Opposite = ? side facing given angle

Adjacent = 5

Step 2

Apply the cosine angle formula to find the indicated angle.

The measure of the indicated angle = 34

Answer:

Step-by-step explanation: you must be in ninth grade

Answer:

41.93 degrees

Step-by-step explanation:

The truck driver would deliver 105 packages in a 7 hours day

An equation is an expression that shows how numbers and variables are related to each other using mathematical operators.

Let y represent the number of packages delivered by the truck driver in x hours. Using the point (1, 15) and (4, 60). Hence, the equation is:

y - 15 = [(60-15)/(4-1)](x - 1)

y = 15x

For a 7 hour day (x = 7):

y = 15(7) = 105

The driver would deliver 105 packages in 7 hours

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Answer:

\(\displaystyle y = 3sin\:1\frac{3}{5}\pi{x} + 5\)

Step-by-step explanation:

\(\displaystyle \boxed{y = 3cos\:(1\frac{3}{5}\pi{x} - \frac{\pi}{2}) + 5} \\ \\ y = Acos(Bx - C) + D \\ \\ Vertical\:Shift \hookrightarrow D \\ Horisontal\:[Phase]\:Shift \hookrightarrow \frac{C}{B} \\ Wavelength\:[Period] \hookrightarrow \frac{2}{B}\pi \\ Amplitude \hookrightarrow |A| \\ \\ Vertical\:Shift \hookrightarrow 5 \\ Horisontal\:[Phase]\:Shift \hookrightarrow \frac{C}{B} \hookrightarrow \boxed{\frac{5}{16}} \hookrightarrow \frac{\frac{\pi}{2}}{1\frac{3}{5}\pi} \\ Wavelength\:[Period] \hookrightarrow \frac{2}{B}\pi \hookrightarrow \boxed{1\frac{1}{4}} \hookrightarrow \frac{2}{1\frac{3}{5}\pi}\pi \\ Amplitude \hookrightarrow 3\)

OR

\(\displaystyle y = Asin(Bx - C) + D \\ \\ Vertical\:Shift \hookrightarrow D \\ Horisontal\:[Phase]\:Shift \hookrightarrow \frac{C}{B} \\ Wavelength\:[Period] \hookrightarrow \frac{2}{B}\pi \\ Amplitude \hookrightarrow |A| \\ \\ Vertical\:Shift \hookrightarrow 0 \\ Horisontal\:[Phase]\:Shift \hookrightarrow 0 \\ Wavelength\:[Period] \hookrightarrow \frac{2}{B}\pi \hookrightarrow \boxed{1\frac{1}{4}} \hookrightarrow \frac{2}{1\frac{3}{5}\pi}\pi \\ Amplitude \hookrightarrow 3\)

From the above information, you should now have an ideya of how to interpret trigonometric equations like this.

I am delighted to assist you at any time.

Answer:

3ft

Step-by-step explanation:

it takes a while to explain and I dont have much time, but the answer is 3

9514 1404 393

Answer:

  10x^6

Step-by-step explanation:

The applicable rule of exponents is ...

  (a^b)(a^c) = a^(b+c)

__

  \((5x^4y^5)(2x^2y^{-5})=(5)(2)(x^{4+2})(y^{5-5})=10x^6y^0=\boxed{10x^6}\)

Answer:

-4

Step-by-step explanation:

Hey there!

Well the slopes of 2 parallel lines have the same slope,

meaning if the green line has a slope of -4 then the slope of the red line has a slope of -4.

Hope this helps :)

Answers:

Nora = $40

Sara = $55

=========================================================

Work Shown:

n = amount Nora earned

s = amount Sara earned

n+s = 95 .... total amount earned

s = n+15 .... since Sara earned $15 more than Nora

--------------

I'll use the substitution method to solve.

n+s = 95

n+n+15 = 95 ....... replaced "s" with n+15

2n+15 = 95

2n = 95-15

2n = 80

n = 80/2

n = 40 dollars is the amount Nora earned

s = n+15

s = 40+15

s = 55 dollars is the amount Sara earned

--------------

Check:

Nora+Sara = 40+55 = 95 dollars total earned

This confirms the answer. Also, we can see that Sara earned $15 more than Nora to help further confirm the answer.

Given:

The dimension of the given paper is,

To find:

The dimension of the square paper and the length of the diagonal after folding the paper to the smallest side and trimming it.

Explanation:

If we fold the given paper to the lower opposite side and trim off the excess paper, then new dimensions would be,

Which is a square of side a = 8.5 inches. Because all sides are equal.

Using the length of the diagonal formula,

Final answer:

The dimensions of the square paper are,

The length of the diagonal is,

The result of the unknown variable x is equivalent to 7

Linear equations are equation that has a leading degree of 1. Given the expression below:

5(3x − 15) + 16 = 5x + 11

Expand the expression

5(3x) - 5(15) + 16 = 5x + 11

15x - 75 + 16 = 5x + 11

15x - 5x - 59 - 11 = 0

10x - 70 = 0

10x = 70

Divide both sides by 10

10x/10 = 70/10

x = 7

Hence the value of x makes the equation true is 7

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Answer:

615.75 or 616.0

Step-by-step explanation:

Given,

Amount spend on gas is $35/week.

Amount spend on payment is $260/month.

Amount spend on insurance is $400/6 month.

Amount spend on oil is $25/ 3 month.

Required

The monthly car expenses.

The monthly car expenses are,

Hence, the expense of the car is $485.

Answer:

We conclude that the equation y=2x+3 has a y-intercept of 3.

Step-by-step explanation:

The slope-intercept form of the line equation

\(y = mx+b\)

where

Given the equation

y = 3x+2

comparing with the slope-intercept form y = mx+b

The slope-intercept of y = 3x+2 is: 2

Given the equation

x=3

Does not have a y-intercept.

Given the equation

y=x

comparing with the slope-intercept form y = mx+b

The slope-intercept of y=x is: 0

Given the equation

y=2x+3

comparing with the slope-intercept form y = mx+b

The slope-intercept of y=2x+3 is: 3

Thus, we conclude that the equation y=2x+3 has a y-intercept of 3.

The measure of the side MN is 19.1.

In mathematics, the trigonometric functions (also called circular functions, angle functions or goniometric functions) are real functions which relate an angle of a right-angled triangle to ratios of two side lengths.

The different trigonometric identities are expressed as:

From the information given, we have that:

Using the tangent identity:

\(\text{tan} \ \theta = \dfrac{\text{opposite}}{\text{adjacent}}\)

Substitute the values

\(\text{tan}(60) =\dfrac{\text{MN}}{11}\)

Cross multiply the values, we have:

\(\text{MN} = \sf 1.73(11)\)

\(\text{MN} = 19. 05 \thickapprox\bold{\underline{19.1 \ ft}}\)

Hence, the measure of the side MN is 19.1.

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Using sampling concepts, it is found that it is not a random sample, as it considers only the books in her bedroom, hence books from other people in the household are likely to not be considered.

It is a common statistics practice, when we want to study something from a population, we find a sample of this population, which has to involve all groups in the population.

In this problem, a random sample should involve the books of all people in the household, not only Jamaya's. Hence, it is not a random sample, as it considers only the books in her bedroom, hence books from other people in the household are likely to not be considered.

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Answer:

Madison needs to buy 250 pound of meat

Step-by-step explanation:

Answer:

If two chords intersect in a circle, then the product of the segments of one chord equals the product of the segments of the other chord.

6(3x) = 4(4x + 1)

18x = 16x + 4

2x = 4

x = 2

Answer:

34p -8

Step-by-step explanation:

6 (4p- 2) + 2 (5p + 2)

24p - 12 + 2 (5p +2)

24p - 12 + 10p + 4

34p -8

Answer: Half of them are even and half of them are odd.

Step-by-step explanation:

The even numbers are 6, 12, 18, 24, and 30. An even number is defined as a number that is divisible by 2, meaning it has no remainder when divided by 2. For example, 6 divided by 2 equals 3 with no remainder, so 6 is even.

The odd numbers are 3, 9, 15, 21, and 27. An odd number is defined as a number that is not divisible by 2, meaning it has a remainder of 1 when divided by 2. For example, 9 divided by 2 equals 4 with a remainder of 1, so 9 is odd.

Therefore, out of the given numbers, half of them are even and half of them are odd.

________________________________________________________

To find the slope, we must know the equation

 --> \(slope = \frac{y2-y1}{x2-x1}\\\)

Now using the information given, (-2,1) and (2,6), let's plug that into the equation

--> \(slope = \frac{6-1}{2--2} = \frac{5}{4}\)

In this case, the slope is 5/4

Hope that helped!

Answer:

\(\rn\hookrightarrow 5/4\)

Step-by-step explanation:

\(Solution,\\\\Let,\\(x_1,y_1)=(-2,1)\\\\(x_2,y_2)=(2,6)\\\\Now,\\\\\rn\hookrightarrow Slope=\frac{y_2-y_1}{x_2-x_1}\\\\\rn\hookrightarrow Slope=\frac{6-1}{2-(-2)} \\\\\rn\hookrightarrow Slope=\frac{5}{4}\)

The 125 is the median number of calories per serving for the breakfast cereals.

What is median?

The middle value in a sorted, ascending or descending list of numbers is known as the median, and it has the potential to describe a data set more accurately than the average does. It represents the midpoint of the data because it is the point above and below which half (50%) of the observed data falls.

Given:

The box-and-whisker plot below shows the distribution of the numbers of calories per serving for a selection of breakfast cereals.

We have to find the median.

Since median is the middle most number of the given list of numbers.

In the given list there are 11 numbers.

The middle most number is occur at 5th number.

The number on 5th place is 125.

Hence, the 125 is the median number of calories per serving for the breakfast cereals.

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Answer:

A) 16

Step-by-step explanation:

The absolute value of a number is always that positive number.

So the absolute value of -9 is 9, and the absolute value of -2 is 2.

9 times 2 is 18, minus the absolute value of -2 which is 2, so 18-2=16

The correct order from least to greatest is log₂ 26, log₂ 33, log 26, eln 4, the correct option is D.

We are given that;

The logs log, 26, log, 33 and log3 26

Now,

We can simplify these expressions using the following identities:

eln x = x

log a a = 1

log a (b × c) = log a b + log a c

log a (b / c) = log a b - log a c

Using these identities and the properties of logarithms listed above, we can compare the given expressions as follows:

A. eln 4 = 4; log 26 < log 33; so we have:

4 < log 26 < log 33

B. eln 4 = 4; so we have:

log 33 < 4 < log 26 < log 26

C. eln 4 = 4; so we have

log₂ 26 < log 26 < log 33 < 4

D. eln 4 = 4; so we have:

log₂ 26 < log₂ 33 < log 26 < 4

Therefore, by logarithm the answer will be log₂ 26, log₂ 33, log 26, eln 4.

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Answer:

  x = -1

Step-by-step explanation:

You want to find the value(s) of x that satisfy the equation |x-2| = |4+x|.

The behavior of each absolute value function changes at the point where its argument is zero. For this equation, that will be two points:

  x -2 = 0   ⇒   x = 2

  x +4 = 0   ⇒   x = -4

These two points on the number line divide the domain of the equation into three parts:

The behavior of the equation will be different in those three domains.

In this domain, both absolute value functions negate their arguments. That means the equation is equivalent to ...

  -(x -2) = -(4 +x)

  2 = -4 . . . . . . . . . . add x to both sides

This has no solutions: there are no values of x that will make this true.

In this domain, the absolute value function on the left negates its argument, so the equation is equivalent to ...

  -(x -2) = (4 +x)

  -2 = 2x . . . . . . . . . add x-4 to both sides

  -1 = x . . . . . . . . . divide by 2

This value of x is in the domain, so represents a solution to the equation.

  x = -1

In this domain, neither absolute value function negates its argument, so the equation is equivalent to ...

  x -2 = 4 +x

  -2 = 4 . . . . . . . subtract x

This has no solutions: there are no values of x that will make this true.

The given equation has one solution: x = -1.

__

Additional comment

When solving an equation like this graphically, it is often useful to put it in the form f(x) = 0. We can obtain that form by defining ...

  f(x) = |x -2| -|4 +x|

The graph of this is attached. The only solution is where f(x) = 0, at x = -1.

Note that the function is parallel to the x-axis outside of the middle domain, so will not have any x-intercepts in those regions.

Six types of costs are:

For assets attained in exchange for a deferred payment contract, the asset should be documented at its fair worth, which is the prevailing market rate. If establishing the fair value of the asset proves to be impracticable, the asset should be recorded based on the current value of upcoming payments due under the deferred payment agreement, stated using an apposite interest rate.

Generally, assets acquired in exchange of other non-monetary commodities should be appraised at their fair worth. If the truthful appraisal of the exchanged assets is uncertain, the assets should be noted down according to the seized amount of the items provided, including any received or paid cash during the transaction.

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Answer: B i think

Step-by-step explanation:

A term can be a number, a variable, product of two or more variables or product of a number and a variable. An algebraic expression is formed by a single term or by a group of terms.

To the nearest percentage point, Lupita's retirement funds increased by 44% from June to July.

A percentage is a term used in mathematics to describe a value or ratio that may be expressed as a fraction of 100. If we need to calculate a percentage of a number, we should first divide it by 100 before multiplying it by the remainder. Consequently, the percentage refers to a portion per hundred.

Given that Lupita had $115 in her bank account at the beginning of June

The amount Lupita had set aside climbed to $165 in July.

We are expected to calculate the percentage growth in money.

% increase

\(= {(165 - 115) / 115 } × 100 = 43.48%. ≈ 44%\)

To the nearest percentage point, Lupita's retirement funds increased by 44% from June to July.

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