A Biology test contains 10 multiple choice questions each with 5 choices and one correct answer. If a law school student just randomly guesses on each of the 10 questions, i.e., the probability of getting a correct answer on any given question is 0.2. Assume that all questions are answered independently. (a) What is the probability that the student answers at least 9 questions correctly

Answers

Answer 1

Answer:

0.0004% probability that the student answers at least 9 questions correctly

Step-by-step explanation:

For each question, there are only two possible outcomes. Either the student guesses the correct answer, or he does not. All questions are answered independently. This means that we use the binomial 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.

In this question, we have that:

[tex]n = 10, p = 0.2[/tex]

What is the probability that the student answers at least 9 questions correctly

[tex]P(X \geq 9) = P(X = 9) + P(X = 10)[/tex]

In which

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

[tex]P(X = 9) = C_{10,9}.(0.2)^{9}.(0.8)^{1} = 0.000004[/tex]

[tex]P(X = 10) = C_{10,10}.(0.2)^{10}.(0.8)^{0} \approx 0 [/tex]

[tex]P(X \geq 9) = P(X = 9) + P(X = 10) = 0.000004 + 0 = 0.000004[/tex]

0.0004% probability that the student answers at least 9 questions correctly


Related Questions

Assume that SAT scores are normally distributed with mean mu equals 1518 and standard deviation sigma equals 325. If 1 SAT score is randomly selected, find the probability that it is greater than 1600. If 81 SAT scores are randomly selected, find the probability that they have a mean greater than 1600.

Answers

Answer:

[tex]P(X>1600)=P(\frac{X-\mu}{\sigma}>\frac{1600-\mu}{\sigma})=P(Z>\frac{1600-1518}{325})=P(z>0.252)[/tex]

And we can find this probability using the z score formula and the complement rule and we got:

[tex]P(z>0.252)=1-P(z<0.252) =1-0.599= 0.401 [/tex]

[tex] z =\frac{1600-1518}{\frac{325}{\sqrt{81}}}= 2.27[/tex]

And we can find this probability using the z score formula and the complement rule and we got:

[tex]P(z>2.27)=1-P(z<2.27) =1-0.988=0.012[/tex]

Step-by-step explanation:

Let X the random variable that represent the SAT scores of a population, and for this case we know the distribution for X is given by:

[tex]X \sim N(1518,325)[/tex]  

Where [tex]\mu=1518[/tex] and [tex]\sigma=325[/tex]

We want to find this probability:

[tex]P(X>1600)[/tex]

And we can use the z score formula given by:

[tex]z=\frac{x-\mu}{\sigma}[/tex]

Using this formula we got:

[tex]P(X>1600)=P(\frac{X-\mu}{\sigma}>\frac{1600-\mu}{\sigma})=P(Z>\frac{1600-1518}{325})=P(z>0.252)[/tex]

And we can find this probability using the z score formula and the complement rule and we got:

[tex]P(z>0.252)=1-P(z<0.252) =1-0.599= 0.401 [/tex]

For the other part we need to take in count that the distribution for the sampel mean if the sample size is large (n>30) is given by:

[tex]\bar X \sim N(\mu, \frac{\sigma}{\sqrt{n}})[/tex]

And we can use the z score formula given by:

[tex]z=\frac{x-\mu}{\frac{sigma}{\sqrt{n}}}[/tex]

And replacing we got:

[tex] z =\frac{1600-1518}{\frac{325}{\sqrt{81}}}= 2.27[/tex]

And we can find this probability using the z score formula and the complement rule and we got:

[tex]P(z>2.27)=1-P(z<2.27) =1-0.988=0.012[/tex]

a^3b^2 divided by a^-1b^-3

Answers

Answer:

[tex]\frac{a^3 b^2}{\frac{1}{a} \frac{1}{b^3}}[/tex]

And simplifying we got:

[tex] a^3 b^2 a b^3[/tex]

[tex] a^3 a b^2 b^3 = a^{3+1} b^{2+3} = a^4 b^5[/tex]

Step-by-step explanation:

We want to simplify the following expression:

[tex] \frac{a^3 b^2}{a^{-1} b^{-3}}[/tex]

And we can rewrite this expression using this property for any number a:

[tex] a^{-1}= \frac{1}{a}[/tex]

And using this property we have:

[tex]\frac{a^3 b^2}{\frac{1}{a} \frac{1}{b^3}}[/tex]

And simplifying we got:

[tex] a^3 b^2 a b^3[/tex]

[tex] a^3 a b^2 b^3 = a^{3+1} b^{2+3} = a^4 b^5[/tex]

Solve 2x - 11 = k for x.

Answers

2x + -11 = k

Reorder the terms:
-11 + 2x = k

Solving
-11 + 2x = k

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '11' to each side of the equation.
-11 + 11 + 2x = 11 + k

Combine like terms: -11 + 11 = 0
0 + 2x = 11 + k
2x = 11 + k

Divide each side by '2'.
x = 5.5 + 0.5k

Simplifying

The following data summarizes results from 945 pedestrian deaths that were caused by accidents. If one of the pedestrian deaths is randomly​ selected, find the probability that the pedestrian was intoxicated or the driver was intoxicated.

Pedestrian
intoxicated not intoxicated
Driver intoxicated 64 68
not intoxicated 292 521

Answers

Answer:

37.67% probability that the pedestrian was intoxicated or the driver was intoxicated.

Step-by-step explanation:

A probability is the number of desired outcomes divided by the number of total outcomes.

In this question:

945 accidents.

In 64 of them, the pedestian was intoxicated.

In 292 of them, the driver was intoxicated.

Probability that the pedestrian was intoxicated or the driver was intoxicated.

(64+292)/945 = 0.3767

37.67% probability that the pedestrian was intoxicated or the driver was intoxicated.

A battery with 20% percent of its full capacity is connected to a charger. Every minute that passes, an additional 5% percent of its capacity is charged. How do you graph this

Answers

Answer:

The relation between battery capacity and time is:

[tex]Y=0.05t+0.2[/tex]

The graph is attached.

Step-by-step explanation:

We will graph the charged capacity of the battery in function of time.

The rate of charge is constant, so we can conclude the relation is linear.

At time t=0, the battery capacity is at 0.2 (or 20%).

Every minute that passes, an additional 5% percent of its capacity is charged. So we can say that at t=1, the battery capacity is 0.2+0.05=0.25 (or 25%).

We can calculate the slope of the linear function as:

[tex]m=\dfrac{\Delta Y}{\Delta t}=\dfrac{0.05}{1}=0.05[/tex]

Then, the relation between battery capacity and time is:

[tex]Y=0.05t+0.2[/tex]

!Please help!
When representing a frequency distribution with a bar chart, which of these bars will be the shortest?
A. A bar representing a frequency of 24
B. A bar representing a frequency of 48
C. A bar representing a frequency of 36
D. A bar representing a frequency of 12

Answers

Answer:

D

Step-by-step explanation:

12 is lowest.

A bar chart is one of the most commonly used representations or visually translate groups of data.

We have given that,

When representing a frequency distribution with a bar chart.

What is the frequency distribution?

frequency distribution, a graph or data set organized to show the frequency of occurrence of each possible outcome of a repeatable event observed many times.

It is drawn in such a way that the x-axis of the graph would represent the items and the y-axis will be for the frequency.

Out of the choices given, the shortest among the bars will be that would frequency is only 36.

Hence, the answer to this item is the letter C.

To learn more about the frequency distribution visit:

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please need help asap!

Answers

Answer:

2/8 or 1/4

Step-by-step explanation:

There are 4 sections so if you spin it twice, we would double it so we have 2/8 and simplified to 1/4

I hope it helps you!

What are the factors of this quadratic function?

Answers

Answer:

A. x-1 and x-5

Step-by-step explanation:

zeros are 1 and 5

so the factors are:

x-1 and x-5

Option A is correct

This chart shows Dan’s budget:

A 3-column table has 5 rows. The first column is labeled Item with entries Internet, food, rent, discretionary spending, income. The second column is labeled Amount budgeted with entries 35, 100, 500, 100, 750. The third column is labeled Amount spent with entries 35, 95, 500, 140, blank.

Did Dan stay on budget? Why or why not?

Yes, Dan spent as much as he earned.
No, Dan should move to a new apartment.
Yes, Dan uses his savings to cover extra expenses.
No, Dan should reduce his discretionary spending

Answers

The correct answer is D No, Dan should reduce his discretionary spending

Explanation:

For Dan to stay on the budget he needs to spend the amount budgeted for each expense or less than the amount budgeted. This occurred in the case of the Internet, food, and rent; for example, the amount budgeted for the internet was $35 and Dan spent this money, also, the amount budgeted for food was $100 and Dan spent $95, which means he stood in the budget. However, this did not occur with discretionary spending, which refers to other non-necessary expenses, because in this case, Dan spent $140 even when the budget limit was $100. Also, this exceeds the total income considering 35 + 95 + 500+ 140 = $770, which is above the income ($750). Thus, Dan did not stay in the budget because he spent more money than expected in discretionary spending and should reduce this.

The correct answer is D. No, Dan should reduce his discretionary spending.

Hope this helps

:)

Find the slope of the line on the graph.
Write your answer as a fraction or a whole
number, not a mixed number or decimal.

Answers

Answer:

-3/4

Step-by-step explanation:

Find two points on the line

(0,1) and (-4,4)

We can use the slope formula

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

   = (4 -1)/(-4 -0)

    = 3/-4

    = -3/4

Some have argued that throwing darts at the stock pages to decide which companies to invest in could be a successful​ stock-picking strategy. Suppose a researcher decides to test this theory and randomly chooses 250 companies to invest in. After 1​ year, 135 of the companies were considered​ winners; that​ is, they outperformed other companies in the same investment class. To assess whether the​ dart-picking strategy resulted in a majority of​ winners, the researcher tested Upper H 0​: pequals0.5 versus Upper H 1​: pgreater than0.5 and obtained a​ P-value of 0.1030. Explain what this​ P-value means and write a conclusion for the researcher.​

Answers

Answer:

The calculated value Z = 1.2903 < 1.96 at 0.05 level of significance

Null hypothesis is accepted at 0.05 level of significance

The population proportion is equal to 0.5

Step-by-step explanation:

Step (i):-

Given random sample size ' n' = 250

Sample proportion 'p'

                                [tex]p= \frac{x}{n} = \frac{135}{250} = 0.54[/tex]

Given Population proportion  P = 0.5

                                       Q = 1-P = 1-0.5 =0.5

Null Hypothesis : H₀ : P = 0.5

Alternative Hypothesis : H₁ : P≥ 0.5

Step(ii):-

Test statistic

               [tex]Z = \frac{p - P}{\sqrt{\frac{PQ}{n} } }[/tex]

             [tex]Z = \frac{0.54-0.5}{\sqrt{\frac{0.5 X 0.5}{250} } }[/tex]

            Z  = 1.2903

Level of significance α = 0.05

Z₀.₀₅ = 1.96

The calculated value Z = 1.2903 < 1.96 at 0.05 level of significance

Null hypothesis is accepted at 0.05 level of significance

Step(iii):-

P- value

The probability of test statistic

P(Z > 1.2903) = 0.5 - A ( 1.2903)

                      = 0.5 - 0.4015

                      = 0.0985≅ 0.10

i) P- value =0.10 >  α = 0.05

null hypothesis is accepted

Conclusion:-

The population proportion is equal to 0.5

please help image attached!

Answers

Answer:

The unit circle centered at the origin in the Euclidean plane is defined by the equation:

[tex]x^2+y^2=1\\[/tex]

Given an angle , there is a unique point P on the unit circle at an angle θ from the x-axis, and the x- and y-coordinates of P are:

[tex]x=cos \theta \\y = sin \theta[/tex]

Consequently, from the equation for the unit circle:

[tex]cos^2\theta+sin^2\theta=1[/tex]  

the Pythagorean identity.

What is the center of the circle?

Answers

Answer:The point from which circle is drawn is called center of circle.

Step-by-step explanation:I don't say u must have to mark my ans as brainliest but if it has really helped u plz don't forget to thnk me...

pls help, you will get branliest !!​

Answers

the answer is 4 because it shifted

Answer:

4.......................

Assuming the below results were obtained in a study used to test the accuracy of the rapid diagnostic test for influenza, calculate and interpret the sensitivity of the rapid diagnostic influenza test.
Frequency of Flu Cases Frequency of Non-Fu Cases
Frequency of Individuals who 47 10
Screened Positive
Frequency of individuals who 43 100
Screened Negative
A) When the rapid diagnostic influenza test is used, 52.22% of individuals who have the flu test positive for the flu.
B) When the rapid diagnostic influenza test is used, 90.91% of individuals who have the flu test positive for the
C) When the rapid diagnostic influenza test is used, 47.78% of individuals who have the flu test positive for the flu.
D) When the rapid diagnostic influenza test is used, 9.09% of individuals who have the flu test positive for the flu.

Answers

Answer:

c

Step-by-step explanation:

6500 rounded to the nearest thousand is __. Enter your answer without commas

Answers

Answer:

7000

Step-by-step explanation:

If the hundreds place is higher than 5, then add 1 to the thousands place.

find the perimeter of of the shaded figure. ? units

Answers

Answer:

38 Units

Step-by-step explanation:

7 each down each side

10 each across top and bottom

2 more for each indent on bottom

7+7+10+10+2+2

14+20+4

38

PLEASE HELPPPPPPPPPP <3

Answers

Answer:

y = 1/2x + 4

Step-by-step explanation:

Slope intercept form is y = mx + b, where m is the slope and b is the y-intercept.

When we count rise over run, we find that the slope is 1/2

y = 1/2x + b

The line intersects the y-axis at 4, so the y-intercept is 4.

y = 1/2x + 4

I hope this helps :))

There are two fields whose total area is 56 square yards. One field produces grain at the rateof34bushel per square yard; the other field produces grain at the rate of23bushel per squareyard. If the total yield is 40 bushels, what is the size of each field

Answers

Answer:

the first field (rate 3/4) has 32 square yards and the second field (rate 2/3) has 24 square yards.

Step-by-step explanation:

With the statement we can make a system of 2x2 equations, where:

"x" is the area of the first field

"y" is the area of the second field

However,

x + y = 56 => x = 56 - y

3/4 * x + 2/3 * y = 40

replacing we have:

3/4 * (56 - y) + 2/3 * y = 40

42 - 3/4 * y + 2/3 * y = 40

-0.0833 * y = 40 - 42

y = -2 / -0.0833

y = 24

now for x:

 x = 56 - 24

x = 32

This means that the first field (rate 3/4) has 32 square yards and the second field (rate 2/3) has 24 square yards.

What are the solutions to the quadratic equation 2x^2 + 10x - 48 = 0?
A. x= -4 and x = 6
B. X= -8 and x = 2
c. x= -6 and x = 8
D. X = -8 and x = 3

Answers

The answer would be the third so c
the answer is D. Download photomath

A recent article1 claims that "Green Spaces Make Kids Smarter." The study described in the article involved
2623 schoolchildren in Barcelona. The researchers measured the amount of greenery around the children's schools, and then measured the children's working memories and attention spans. The children who had more vegetation around their schools did better on the memory and attention tests.

(a) What are the cases in this study?

(b) What is the explanatory variable?

(c) What is the response variable?

(d) Does the headline imply causation?

(e) Is the study an experiment or an observational study?

(f) Is it appropriate to conclude causation in this case?

Answers

Answer:

Cases : 2623 school children , Explanatory Variable : Greenery or Vegetation around school , Response Variable : Children's Memory & attention spans , Yes  causation, Observational study

Step-by-step explanation:

a) Cases refers to the people or units of population studied in the research. In this case, it is sample of 2623 school children in Barcelona

b) Explanatory variable is variable which leads to, or causes the change in other variable. In this case, it is greenery or vegetation around researched students' schools

c) Response variable is the variable which is affected due to change in independent explanatory variable. In this case, it is children's working  memory & attention spans

d) Yes, the headline implies causation. As it implies cause effect relationship of greenery around children's school on their working memory & attention spans.

e) It is an observational study, as it observes the variables relationship as it is, without any specific experimental intervention.

you will get alot of points if you answer this explain your answer

Answers

Answer:

The surface area of stand is 46 feet.

First

taking the upper rectangular prism only.

so we get

l=3

w=1

h=3

surface area of rectangular prism = 2lw+2lh+2hw

= 2×3×1+2×3×3+2×3×1

= 30

taking the lower rectangular prism only.

surface area of rectangular prism = 2lw+2lh+2hw

=2×7×2+2×1×7+2×2×1

=46

add both the rectangular prism.

we get,

30+46

76

Yes, $15 is enough

Taking out the square of all the rectangle the total would be 52m²

52/25×6.79 ( as 6.79 dollars for 25 m²)

$14.1232

Answer:

freecoins

Step-by-step explanation:

PLEASE HELP QUICKLY AS POSSIBLE THANK YOU :)​

Answers

Answer:

Option (B).

Step-by-step explanation:

From the table shown in the figure attached,

There is a common difference of 5 in every successive and previous term, so the relation is a linear relation.

Let the equation representing the relation is,

y - y' = m(x - x')

where m = slope of the line

Now we choose two ordered pairs from the table,

Let the points are (10, 54) and (11, 59)

Slope = [tex]\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]

      m = [tex]\frac{59-54}{11-10}[/tex]

      m = 5

Now the equation of of the line passing through (10, 54) and slope = 5

y - 54 = 5(x - 10)

y - 54 = 5x - 50

y = 5x - 50 + 54

y = 5x + 4

By substituting the values of x and y from the ordered pairs given in the options we find option B satisfies the equation.

For (2, 14),

14 = 5×2 + 4

14 =  14 [True]

For (3, 19),

19 = 5×3 + 4

19 = 19 [True]

Therefore, option (B) will be the answer.

Determine whether the study depicts an observational study or an experiment.

A study is conducted to determine if there is a relationship between stomach cancer and alcohol consumption.alcohol consumption. Everyone treated at a hospital for stomach cancer was asked Everyone treated at a hospital for stomach cancer was asked about their alcohol consumption.

a. The study is an experiment because the researchers control one variable to determine the effect on the response variable.
b. The study is an observational study because the researchers control one variable to determine the effect on the response variable.
c. The study is an observational study because the study examines individuals in a sample, but does not try to influence the response variable.
d. The study is an experiment because the study examines individuals in a sample, but does not try to influence the variable of interest.

Answers

Answer:

Option c

Step-by-step explanation:

The study is an observational study. An observational study is made when the researchers collect data based on what they see, hear or observe without any form of manipulation or treatment plan from the researchers. Thus, in this case, the study is an observational study because the study examines individuals in a sample, but does not try to influence the response variable/influence their responses.

as a last-minute deal Don and Mary booked a 7 day cruise for a total of $670 if the normal price for a couple is $1340, what discount percent did Don and Mary recieve?​

Answers

Answer:

Don and Mary received a discount of 50%.

Step-by-step explanation:

Initially, we use a rule of three to find the percentage of the initial price that they paid.

The discount is 100% subtracted by the percentage they paid.

Percentage they paid:

The normal price for a couple is $1340, which is 100%.

They paid $670, which is x%. We have to find x.

$1340 - 100%

$670 - x%

[tex]1340x = 100*670[/tex]

[tex]x = \frac{100*670}{1340}[/tex]

[tex]x = 50[/tex]

They paid 50% of the original price.

What discount percent did Don and Mary recieve?​

100 - 50% = 50%

Don and Mary received a discount of 50%.

The mean of three numbers is 4
Two of the numbers are 1, 9
What is the missing number?

Answers

Answer:2

Step-by-step explanation: 9+1+2=12

12\3=4

ANSWER : 2

Answer is 2

(9+1+x)/3=4
(10+x)/3=4
10+x= 3*4
x= 12 -10
x= 2

A company produces product with a mean weight of 10 and a standard deviation of 0.200. A new process supposedly will produce products with the same mean and a smaller standard deviation. A sample of 20 products produced by the new method has a sample standard deviation of 0.126. At a significance level of 10%, is it appropriate to conclude that the new process is less variable than the old?

Answers

Answer:

[tex]F=\frac{s^2_1}{s^2_2}=\frac{0.2^2}{0.126^2}=2.520[/tex]

Now we can calculate the p value but first we need to calculate the degrees of freedom for the statistic. For the numerator we have [tex]n_1 -1 =10-1=9[/tex] and for the denominator we have [tex]n_2 -1 =20-1=19[/tex] and the F statistic have 9 degrees of freedom for the numerator and 19 for the denominator. And the P value is given by:

Now we can calculate the p value with this probability:

[tex]p_v =P(F_{9,19}>2.520)=0.043[/tex]

Using a significance level of 5% we see that the p value is lower than this value and we have enough evidence to reject the null hypothesis and we can conclude that the variation for the new process is lower than the new one.

Step-by-step explanation:

Information given

[tex]n_1 = 10 [/tex] represent the sampe size old

[tex]n_2 =20[/tex] represent the sample size new

[tex]s_1 = 0.2[/tex] represent the sample deviation for old

[tex]s_2 = 0.126[/tex] represent the sample deviation for new

The statistic is given by:

[tex]F=\frac{s^2_1}{s^2_2}[/tex]

Hypothesis to test

We want to test if the new process is less variable than the old, so the system of hypothesis are:

H0: [tex] \sigma^2_1 \leq \sigma^2_2[/tex]

H1: [tex] \sigma^2_1 >\sigma^2_2[/tex]

The statistic is given by:

[tex]F=\frac{s^2_1}{s^2_2}=\frac{0.2^2}{0.126^2}=2.520[/tex]

Now we can calculate the p value but first we need to calculate the degrees of freedom for the statistic. For the numerator we have [tex]n_1 -1 =10-1=9[/tex] and for the denominator we have [tex]n_2 -1 =20-1=19[/tex] and the F statistic have 9 degrees of freedom for the numerator and 19 for the denominator. And the P value is given by:

Now we can calculate the p value with this probability:

[tex]p_v =P(F_{9,19}>2.520)=0.043[/tex]

Using a significance level of 5% we see that the p value is lower than this value and we have enough evidence to reject the null hypothesis and we can conclude that the variation for the new process is lower than the new one.

30 pontos de graça
Quanto é 100X4=?

Answers

Answer:

me marca como melhor resposta ☺️❤️

Step-by-step explanation:

.....

Answer:

400

brigadaaaaaaaaaaaaaa

What is the value of lifeee, and when do you think corona will stop! Will mark brainliest cuz why not

Answers

Answer:

LIFE: Your life purpose consists of the central motivating aims of your life—the reasons you get up in the morning. Purpose can guide life decisions, influence behavior, shape goals, offer a sense of direction, and create meaning. For some people, purpose is connected to vocation—meaningful, satisfying work. Also always be your self (:

Corona: I think corona depending on were you live will stop next year when they find a treatment for it.

Hope this helped!

Answer:

Your life is the most important thing. It shouldn't be worth 1 million dollars, or even 1 billion dollars, because it's worth everything.  

Corona can't really stop. It's a matter of the government to try to contain the virus, so it won't spread even further. I think the right time to reopen the economy is when we find a vaccine. But of course, places all over the U.S. are already reopening which will cause a spike in cases, therefore making our "self-isolation" even longer.

The figure shows three lines that intersect at point N.

3 lines intersect. Lines G K and J M intersect at point N to form a right angle. Line H L intersects the other lines at point N. Angle H N G is 48 degrees.
Angle GNH is congruent to angle KNL. Angle MNL is complementary to angle KNL. What is the measure of angle MNL?

42°
48°
132°
138°

Answers

Answer

The figure shows three lines that intersect at point N.

3 lines intersect. Lines G K and J M intersect at point N to form a right angle. Line H L intersects the other lines at point N. Angle H N G is 48 degrees.

Angle GNH is congruent to angle KNL. Angle MNL is complementary to angle KNL. What is the measure of angle MNL?

42°

48°

132°

138°

Step-by-step explanation:

42

The required measure of angle MNL is 42°. Option A is correct.

3 lines intersect lines G K and J M intersect at point N to form a right angle. Line H L intersects the other lines at point N. Angle H N G is 48 degrees. Angle GNH is congruent to angle KNL. Angle MNL is complementary to angle KNL. What is the measure of angle MNL is to determine

What is the angle?

The angle can be defined as the one line inclined over another line.
unit of measure of an angle is degree and radians.

Angle GNH is congruent to angle KNL.
∠KNL = 48°
Angle MNL is complementary to angle KNL
Since angle MNK = 90°
∠MNL + ∠KNL = 90°

∠MNL = 90-48
∠MNL = 42°

Thus, the required measure of angle MNL is 42°. Option A is correct.

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HI I REALLY NEED HELP ON THIS IT WOULD BE NICE IF I COULD GET SOME HELP AND THANK YOU Which conflict was exemplified by the Scopes Trial? the teaching of evolution vs. religious fundamentalism communism vs. democracy urban vs. rural culture the belief in America as a melting pot vs. limitations on immigration Which affects biodiversity loss the most?A. Habitat destruction B. Introduced speciesC. Pollution D. Population growth Before year-end adjusting entries, Marigold Corp.'s account balances at December 31, 2020, for accounts receivable and the related allowance for uncollectible accounts were $1540000 and $91500, respectively. An aging of accounts receivable indicated that $123000 of the December 31 receivables are expected to be uncollectible. The accounts receivable amount expected to be collected after adjustment is 28 points!! please help |x-1|=14 solve the equation can you used chmical reagents for chromatography and why? You just agreed to a deal that will make you the proud new owner of a beautiful new convertible. The car comes with a three-year warranty. Please consider the purchase of the extended warranty which has a purchase price of $1,800, today (the day you purchased your NEW car). The extended warranty covers the 4 years immediately after the three-year warranty expires. You estimate that the yearly expenses that would have been covered by the extended warranty are $400 at the end of the first year of the extension, $500 as the end of the second year of the extension, $600 at the end of the third year of the extension, and $800 at the end of the fourth year of the extension. Assume that money during this time can earn interest at a rate of 7% compounded monthly. Will you decide to buy the warranty? Your formal solutions should include:______.1. The overall goal and/or purpose2. The given information3. A time-line for the expected repair costs covered by the warranty4. The present value for each of the repair costs5. The present value of the warranty and the expected profit for the warranty company6. Your conclusion Why did the Young Italy movement fail? Amar wants to make lemonade for a birthday party. He wants to mix 12 tablespoons of sugar in water. He only has a teaspoon which needs to be used 4 times to be equivalent to one tablespoon. At this rate, how many teaspoons of sugar will Amar need to make the lemonade? The separation of powers within the federal government ensures that decisions made are in the best interest of the country the executive branch will remain the most powerful branch of government the states will be able to function independently of one another foreign countries will not be able to interfere with our government root 3 cosec140 - sec140=4prove that Your Competitive Intelligence team reports that a wave of product liability lawsuits is likely to cause Baldwin to pull the product Bat entirely off the market this year. Assume Baldwin scraps all capacity and inventory this round, completely writing off those assets and escrowing the proceeds to a settlement fund, and assume these lawsuits will have no effect on any other products of Baldwin or other companies. Without Baldwin's product Bat how much can the industry currently produce in the Core segment What is the value of [-12]?-13-121213 I will mark you brainliest! How much money did Nikki orginally invest? Determine the power of 900 joules of work done in 4 seconds A) 3600 WB) 225 WC) 904 WD) 450 W Hctor tiene un ________ saludable. Qu parte del cuerpo es?A) corazn B) pecho C) cuello D) hombro Explain how Icd 10 cm codes can help identify a patients health conditions? Identify the structure of sentences please leave your footwear outside. Which part of the Declaration ofIndependence addresses the rightsof citizens?