parallelogram JKLM is shown on the coordinate plane below​

Answer:

6^2

Step-by-step explanation:

guess and check

if x=6^2 the nit works

Answer:

The population is at a maximum after 22 hours.

Step-by-step explanation:

Vertex of a quadratic function:

Suppose we have a quadratic function in the following format:

[tex]f(x) = ax^{2} + bx + c[/tex]

It's vertex is the point [tex](x_{v}, f(x_{v})[/tex]

In which

[tex]x_{v} = -\frac{b}{2a}[/tex]

If a<0, the vertex is a maximum point, that is, the maximum value happens at [tex]x_{v}[/tex], and it's value is [tex]f(x_{v})[/tex]

In this question:

[tex]P(t) = -1840t^{2} + 81000t + 10000[/tex]

Determine the time at which the population is at a maximum.

This is the value of t at the vertex.

We have that [tex]a = -1840, b = 81000[/tex]. So

[tex]t_{v} = -\frac{81000}{2*(-1840)} = 22[/tex]

The population is at a maximum after 22 hours.

Answer:

[tex]P(\overline{W})=0.99281[/tex]

Step-by-step explanation:

W denotes the event of screening a driver and getting someone who is intoxicated.

Out of 695 drivers, the man observed that 5 were arrested for driving while intoxicated.

Therefore: [tex]P(W)=\dfrac{5}{695} \approx 0.00719[/tex]

The probability of the complement of event W, [tex]\overline{W}[/tex] denotes the probability of screening a driver and getting someone who is NOT intoxicated.

From probability theory, we know that the sum of the probability of an event and its complement is 1.

[tex]P(W)+P(\overline{W})=1\\P(\overline{W})=1-P(W)\\=1-0.00719\\\\P(\overline{W})=0.99281[/tex]

Answer:

Hope this helps!!

Answer:

the correct answer is ...... A

Step-by-step explanation:

Hope this helps

Answer:

[tex]\theta = \frac{4\pi}{3}[/tex]

Step-by-step explanation:

Given

Let A represent the Length of Arc CD and C, represents the circumference

[tex]A = \frac{2}{3} C[/tex]

Required

Find the central angle (in radians)

The length of arc CD in radians is as follows;

[tex]A = r\theta[/tex]

Where r is the radius and [tex]\theta[/tex] is the measure of central angle

The circumference of a circle is calculated as thus;

[tex]C = 2\pi r[/tex]

From the question, it was stated that the arc length is 2-3rd of the circumference;

This means that

[tex]A = \frac{2}{3} C[/tex]

Substitute [tex]2\pi r[/tex] for C and [tex]r\theta[/tex] for A

[tex]A = \frac{2}{3} C[/tex] becomes

[tex]r\theta = \frac{2}{3} * 2\pi r[/tex]

[tex]r\theta = \frac{4\pi r}{3}[/tex]

Divide both sides by r

[tex]\frac{r\theta}{r} = \frac{4\pi r}{3}/r[/tex]

[tex]\frac{r\theta}{r} = \frac{4\pi r}{3} * \frac{1}{r}[/tex]

[tex]\theta = \frac{4\pi r}{3} * \frac{1}{r}[/tex]

[tex]\theta = \frac{4\pi}{3}[/tex]

Hence, the measure of the central angle; [tex]\theta = \frac{4\pi}{3}[/tex]

Answer:

The answer is C on Edge 2020

Step-by-step explanation:

I did the assignment

Answer:

False

Step-by-step explanation:

The null hypothesis is rejected or accepted on the basis of level of significance. When the p-value is greater than level of significance we fail to reject the null hypothesis and null hypothesis is then accepted. It is not necessary that all null hypothesis will be rejected at 10% level of significance. To determine the criteria for accepting or rejecting a null hypothesis we should also consider p-value.

Answer:

A:(angle) R corresponds to (angle)P’QQ’

D: Side RQ corresponds to side QQ’

Step-by-step explanation:

The two options are:

A:(angle) R corresponds to (angle)P’QQ’

D: Side RQ corresponds to side QQ’

Triangles are said to be congruent if they may be of the equal size and equal form. Two congruent triangles have an equal place and perimeter. All of the aspects and angles of a triangle are equal to the corresponding aspects and angles of its congruent triangle.

If two angles and the blanketed side of 1 triangle are the same as the corresponding angles and the covered aspect of the opposite triangle, then each triangle is congruent. If 3 aspects of one triangle are the same as the corresponding three facets of some other triangle then both triangles are congruent.

Learn more about triangles here: https://brainly.com/question/10687170

#SPJ2

9.8 +12x+y-7

2.8+12x+4y

Answer:

Option A and C

Step-by-step explanation:

From the data given above, with a p value of 0.039 which is way less than 0.05, and with a less p value, the results are statistically significant and then we can reject the null hypothesis and conclude that the the is statistically significant evidence to show that the proportion of students with student loan debt does not equal 69%.

Answer:

correct option: 2 -> It would decrease.

Step-by-step explanation:

If the amount of gas is the same, the following relation needs to be constant:

[tex]Pressure * Volume / Temperature[/tex]

So, If the pressure is constant, the volume and the temperature are directly proportional (if one increases, the other also increases).

Then, an decrease of 3 times in the volume would cause an decrease of 3 times in the temperature.

So the correct option is 2.: It would decrease.

Answer:

12.35 inches and i have attached a sketch of the parabola.

Step-by-step explanation:

We are told that height of the parabolic door is 32 inches and 56 inches across the bottom.

Let the origin of the cartesian co-ordinate system be taken at the mid point of the bottom, x-axis along the bottom of the door and y-axis perpendicular to the bottom through the mid point of the bottom.

Thus, the vertex of parabola will be at A (0,32) and the equation of the parabola will be;

x² = -4a(y-32)

Now;

B(28,0) and C(-28,0) are two points located on the parabola.

Thus; 28² = -4a(0-32)

4a × 32 = 28²

4a = 28²/32

Hence, the equation of the parabola will be;

x² = (-49/2)(y-32)

2x² = -49(y-32)

Putting y = 22, we have;

2x² = -49(22-32)

2x² = 49 × 10

Divide both sides by 2;

x² = 49 × 5

x = ±7√5

​

From the attached sketch,

BM = 28 - 7√5

​BM = 12.35 inches

Thus; as my height is 22 inches, I am to stand 12.35 inches from edge

to keep from hitting my head

Answer:

The total number of houses are "9". The further explanation is given below.

Step-by-step explanation:

The given values are:

height,

h =  28h - h²

Housing profit of developers will be:

⇒  [tex]\pi^h=28h-h^2-hf[/tex]

If airport won't pay any cost for the damage,

⇒  [tex]\pi^A=20f-f^2[/tex]

then,

⇒  [tex]\frac{\partial \pi^A}{\partial f}[/tex] = [tex]20-2f =0[/tex]

                      [tex]20=2f[/tex]  

                       [tex]f=\frac{20}{2}[/tex]

                       [tex]f=10[/tex]

On putting the value of "f", we get

⇒  [tex]\pi^h=28h-h^2-10h[/tex]

         [tex]=18h-h^2[/tex]

⇒  [tex]\frac{\partial \pi h}{\partial h}=18-2h=0[/tex]

                      [tex]2h=18[/tex]

                        [tex]h=\frac{18}{2}[/tex]

                        [tex]h=9[/tex]

So that the total number of house built by the developers will be "9".

Answer:

I hope this help

Step-by-step explanation:

Answer:

The expected value of X is 2 with a standard deviation of 1.34.

Step-by-step explanation:

For each speaker, there are only two possible outcomes. Either it is defective, or it is not. The probability of a speaker being defective is independent of other speakers. So we use the binomial probability distribution to solve this question.

Binomial probability distribution

Probability of exactly x sucesses on n repeated trials, with p probability.

The expected value of the binomial distribution is:

[tex]E(X) = np[/tex]

The standard deviation of the binomial distribution is:

[tex]\sqrt{V(X)} = \sqrt{np(1-p)}[/tex]

Stereo speakers are manufactured with a probability of 0.1 of being defective

This means that [tex]p = 0.1[/tex]

Twenty speakers are randomly selected.

This means that [tex]n = 20[/tex]

Let the random variable X be defined as the number of defective speakers. Find the expected value and the standard deviation.

[tex]E(X) = np = 20*0.1 = 2[/tex]

[tex]\sqrt{V(X)} = \sqrt{np(1-p)} = \sqrt{20*0.1*0.9} = 1.34[/tex]

The expected value of X is 2 with a standard deviation of 1.34.

Answer:

150 regular loaves

125 loaves with extra sugar

100 loaves with extra bananas.

Step-by-step explanation:

Let R represent loaves of regular bread, S represent loaves with extra sugar, and B represent loaves with extra bananas. If they have 1200 bananas, 1050 cups of sugar, and 1075 cups of flour available, the number of each type of bread that Angie and Brian can make are given by the following system of equations:

[tex]3R+2S+5B=1,200\\3R+4S+1B=1,050\\2R+3S+4B=1,075[/tex]

Solving the linear system:

[tex]3R+4S+1B-(3R+2S+5B)=1,050-1,200\\2S-4B=-150\\S=-75+2B\\\\3R+2*(-75+2B)+5B=1,200\\2R+3*(-75+2B)+4B=1,075\\3R+9B=1,350\\2R+10B=1,300\\\\3R+9B-1.5*(2R+10B)=1,350-(1.5*1,300)\\9B-15B=-600\\B=100\\2R+10*100=1,300\\R=150\\3*150+2S+5*100=1,200\\S=125[/tex]

They should make 150 regular loaves, 125 loaves with extra sugar, and 100 loaves with extra bananas.

Answer:

Step-by-step explanation:

Answer:

B. The intervals are centered around the sample mean GPA.

D. 95% of the intervals will contain the population mean in the long run.

Step-by-step explanation:

Confidence interval:

Depends on two things: The sample mean and the margin of error.

Lower end: Sample mean - margin of error

Upper end: Sample mean + margin of error

This means that the intervals are centered around the sample mean.

x% level:

x% of the intervals will contain the population mean in the long run.

So the true statements are:

B. The intervals are centered around the sample mean GPA.

D. 95% of the intervals will contain the population mean in the long run.

Answer:

P(X=5)=0.1032

Step-by-step explanation:

This variable can be modeled by a binomial distribution, with parameters n=15 (sample size) and p=0.2 (the individual probability that the company use a consultant).

The probability that k companies that outsource overseas use a consultant can be written as:

[tex]P(x=k) = \dbinom{n}{k} p^{k}(1-p)^{n-k}\\\\\\P(x=k) = \dbinom{15}{k} 0.2^{k} 0.8^{15-k}\\\\\\[/tex]

Then, the probability that exactly five companies that outsource overseas use a consultant is:

[tex]P(x=5) = \dbinom{15}{5} p^{5}(1-p)^{10}=3003*0.0003*0.1074=0.1032\\\\\\[/tex]

Answer:

Step-by-step explanation:

adjacent/hypotenuse is sine:

cos(28 degrees)=29.3/x

cos(28 degrees)*x=29.3

x=29.3/cos(28 degrees)

x=around 33.18

AB is around 33.18

opposite/adjacent is tangent

tan(28 degrees)=x/29.3

tan(28 degrees)*29.3=x

x=tan(28 degrees)*29.3

x=around 15.58

BC is around 15.58

Answer:

Yes because yes.

Step-by-step explanation:

Y + e + s = Yes

Answer:

54

Step-by-step explanation:

The pink parts are 9 out of total 11 parts.

9/11

Multiply with 66.

9/11 × 66

= 54

Hey there! :)

Answer:

P(Pink) = 54.

Step-by-step explanation:

Begin by calculating the possibility of the spinner landing on pink:

[tex]P(pink) = \frac{pink}{total}[/tex]

Therefore:

[tex]P(Pink) = \frac{9}{11}[/tex]

In this question, the spinner was spun 66 times. Since we have solved for the probability, we can set up ratios to find the probability of the spinner landing on pink out of 66.

[tex]\frac{9}{11}= \frac{x}{66}[/tex]

Cross multiply:

594 = 11x

Divide both sides by 11:

x = 54.

P(Pink) = 54.

Answer:

x = 1

y = 5

Step-by-step explanation:

You can use either substitution or elimination for this problem. I will use substitution.

Step 1: Replace x in the 1st equation

-10(y-4) + 3y = 5

-10y + 40 + 3y = 5

-7y = -35

y = 5

Step 2: Plug y into an original equation to find x

x = 5 - 4

x = 1

And you have your final answers!

Answer:

x = 1

Step-by-step explanation:

y = 5

Answer:

38 units

Step-by-step explanation:

We can find the perimeter of the shaded figure be finding out the number of unit lengths we have along the boundary of the given figure.

Thus, see attachment below for the number of units of each length of the figure that we have counted.

The perimeter of the figure = sum of all the lengths = 7 + 7 + 10 + 2 + 2 + 6 + 2 + 2 = 38

Perimeter of the shaded figure = 38 units

Answer:

The relative change from 6546 and 4392 is 49.04

Step-by-step explanation:

Answer:

Mean, median and mode are measures of central tendency. The median is a better measure of central tendency when the given data contains outliers.

Step-by-step explanation:

Mean, median and mode are all measures of central tendency. These are statistical information that gives the middle or centre of a set of data. Since the values are central, they usually represent the entire distribution.

The mean is the obtained by dividing the sum of all the scores by the number of scores. The median is the middle value when numbers are arranged in increasing or decreasing order of magnitude. The mode is the most frequently occurring score in a distribution.

Let us see an example of the median as a measure of central tendency. Given the set of values; 4, 10, 12, and 26, the median is obtained from the average of the two middle numbers in the set of values which are 10 and 12 as seen from the set of values above. Hence the median of this set of values is 11.

The median can be a very good measure of central tendency, even better than the mean mostly in situations where there are outliers, or extreme values.

Answer:

x-int: (2, 0)

y-int: (0, -4)

Step-by-step explanation:

Step 1: Convert to slope-intercept form

2y = -4x - 8

y = -2x - 4

Step 2: Find y-int (Set x to 0)

y = -2(0) -4

y = -4

Step 3: Find x-int (Set y = 0)

0 = -2x - 4

4 = -2x

x = 2

Answer:

The x=-2 and y=-4

Step-by-step explanation:

x=(-2,0)

y=(0,-4)

DO the math and you will get the answer

I hope this helps

Stay safe:)

USe desmo

answer A

Step-by-step explanation:

answer A

as g(0)=1/4

for the other cases g(0) = -1, 3 or 4 so this is not possible

Answer:

a:1/4x^2

Step-by-step explanation:

Answer:

0.495 probability that Jim and Molly take counters of different colours

Step-by-step explanation:

For each trial, there are only two possible outcomes. Either a blue counter is picked, or a red counter is picked. The counter is put back in the bag after it is taken, which means that we can use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

And p is the probability of X happening.

The probability that the counter is red is 0.45

This means that [tex]p = 0.45[/tex]

Jim taken a counter, then Molly:

Two trials, so [tex]n = 2[/tex]

What is the probability that Jim and Molly take counters of different colours?

One red and one blue. So this is P(X = 1).

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 1) = C_{2,1}.(0.45)^{1}.(0.55)^{1} = 0.495[/tex]

0.495 probability that Jim and Molly take counters of different colours