this figure is made from part of a circle and part of a square. what is the perimeter of this figure, to the nearest unit? what is the area of this figure, to the nearest square unit?

illustrative math grade 7 unit 3 end of unit assessment B

Answer:

0.3085 = 30.85% probability that the mean years of experience from the sample of 4 is greater than 3.5 years.

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal probability distribution

When the distribution is normal, we use the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].

For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean [tex]\mu = p[/tex] and standard deviation [tex]s = \sqrt{\frac{p(1-p)}{n}}[/tex]

Distribution of years of experience:

Mean 3, so [tex]\mu = 3[/tex]

Standard deviation 2, so [tex]\sigma = 2[/tex]

Sample of 4:

[tex]n = 4, s = \frac{2}{\sqrt{4}} = 1[/tex]

What is the probability that the mean years of experience from the sample of 4 is greater than 3.5?

1 subtracted by the pvalue of Z when X = 3.5. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

By the Central Limit Theorem

[tex]Z = \frac{X - \mu}{s}[/tex]

[tex]Z = \frac{3.5 - 3}{1}[/tex]

[tex]Z = 0.5[/tex]

[tex]Z = 0.5[/tex] has a pvalue of 0.6915

1 - 0.6915 = 0.3085

0.3085 = 30.85% probability that the mean years of experience from the sample of 4 is greater than 3.5 years.

Answer:

We cannot calculate this probability because the sampling distribution n ot normal

Step-by-step explanation: Khan academy

Answer:

The equation is in standard form

Step-by-step explanation:

Hope this helps

Answer:

There is no solution to this system.

Step-by-step explanation:

The left side of the first equation is 3 times the left side of the second one.

If we multiply the whole of the second equation by 3 we get:

3x - 6y = -16.

As the first equation is 3x - 6y = -12 we see that there is no solution to this system.  3x - 6y can't be equal to -12 and -16.

Answer:

m = -2/3

Step-by-step explanation:

2x + 3y = 12

-2x. -2x

3y = -2x + 12

÷3. ÷3. ÷3

y = -2/3x + 4

m = -2/3

Step-by-step explanation:

C

good luck

:) :) :) :) :) :) :)

The value of x and y are respectively, 30°, 60°. So option C is correct.

Trigonometry is a branch of mathematics, which deals with the study of right angle triangles. Trigonometry is concerned with specified functions of angles and their applications to calculations.

There are 6 commonly used functions in trigonometry with their name and abbreviations-

sine (sin), cosine (cos), tangent (tan), cotangent (cot), secant (sec), cosecant (cosec)

If sin(x) = cos(y), then x and y must satisfy the following relationship:

sin(x) = cos(90 - x)

So, x and 90 - x must both be in the range of 0 to 90 degrees, or x must be in the range of 0 to 45 degrees.

Therefore, the only possible values of x and y that satisfy this relationship are:

x = 30 degrees and y = 60 degrees

Thus, the value of x & y are 30° & 60°

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Answer:

a. Z-test of a population mean.

Step-by-step explanation:

The current owner claims that over the past 5 years, the average daily revenue was $675 with a standard deviation of $75.

This means that we have a large sample, which means that we can consider this to be the standard deviation for the population, which eliminates the t-test, leaving options a and c.

Population mean or proportion?

Mean, as a proportion is a value between 0 and 1, while average revenue may have lots of possible values. So the answer is given by option A.

Answer:

option C: 120

Step-by-step explanation:

total marks = 5× 100 = 500

marks he obtained = 380

marks he lost = 500 - 380 = 120

plz mark my answer as brainlist plzzzz.

hope this will be helpful to you.

Answer:

Step-by-step explanation:

11 workers in 75 days

so 33 workers do it in 25 days

Answer:

167y/3

Step-by-step explanation:

x=24-y

x=100/3-5y/3

Answer:

12kg

Step-by-step explanation:

because 2×2×2+4=12

jskgx

Answer:

C

Step-by-step explanation:

so taking the slope from the points (0,1) and (2,2)

we get slope= 2-1/2-0=1/2 the y intercept is one

so y=mx+b(where m is the slope and b is the y intercept)

we get= y=1/2x+1

which is C

if my answer helps please mark as brainliest.

Answer:

Parallelogram

Step-by-step explanation:

That dude above doesn't know what his talking about its parallelogram my teacher confirmed it too

The quadrilateral MNOP is a parallelogram in which opposite sides are equal and parallel to each other.

A quadrilateral is a polygon with four angles and four sides.

Given the vertices of quadrilateral MNOP at M(1, 1) N(3, 4) O(6, 6) P(4, 3). Plotting the points using geogebra,

We can see that the quadrilateral MNOP is a parallelogram in which opposite sides are equal and parallel to each other.

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Answer:

[tex]\frac{1}{12}[/tex]

Step-by-step explanation:

Number of boys = 12

Number of girls = 18

Total number of students = 12 + 18 = 30

Probability refers to chances of occurrence of any event.

Probability = Number of favorable outcomes ÷ Total number of possible outcomes

To find P(Senior | Boy), use [tex]P(A|B)=\frac{P(A\,\,and\,\,B)}{P(B)}[/tex]

P(Senior and Boy) = [tex]\frac{1}{30}[/tex]

P(Boy) = [tex]\frac{12}{30}[/tex]

So,

P(Senior | Boy) = P(Senior and Boy) ÷ P(Boy) = [tex]\frac{\frac{1}{30} }{\frac{12}{30} } =\frac{1}{12}[/tex]

Answer:

1/12

Step-by-step explanation:

Answer:

11.25minutes

Step-by-step explanation:

From the question we are told that lifts unloads 576 skiers per hour at the top of the slope, this is expressed as;

576skiers = 1hr

To determine the time it will take 108skier, we can write

108skier = x

Divide both expressions

576/108 = 1/x

576x =108

x = 108/576

x = 0.1875hr

Convert to minute

x = 0.1875×60

x = 11.25minutes

Hence it took the ride 11.25minutes

Answer: 487, B.

Step-by-step explanation:

24350 ÷ 50 = 487.

Divide :)

The answer is 487, or B.

Answer:

13 petunias

Step-by-step explanation:

13x7=91

9x8=72

add them and you get 163

Answer:

1.2

Step-by-step explanation:

The missing number on the table using the rule y = x + 3 is 14

X Y

0 3

3 6

11 y

7 10

9 12

The rule:

y = x + 3

y = 0 + 3

y = 3

y = 3 + 3

y = 6

y = 11 + 3

y = 14

y = 7 + 3

y = 10

y = 9 + 3

y = 12

Therefore, the missing number on the table is 14

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Answer:

5

Step-by-step explanation:

Answer:

51 deg

Step-by-step explanation:

By corresponding parts of congruent polygons, <BAD is congruent to <FEH.

m<BAD = m<FEH = 51 deg

Answer: 51 deg

Answer:

51 degrees

Step-by-step explanation:

The answer is 51 degrees because the two pyramids shown are congruent which means that since we are given the degree measure of angle FEH then we can plug in that measure to find the measure of angle BAD. We can also use what we know about degrees to figure out that because angle CBA is equal to 129 degrees then angle BAD is equal to the difference between the measure of angle CBA and 180 degrees which is 59 degrees.

Answer:

If 3 people can complete half a job in 20 days, then three people can complete a job in 40 days. Since 12 people is four times as many, instead of taking 40 days, it should take 10 days

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Answer:

216

Step-by-step explanation:

if she reads 24 books in 6 weeks

you do 36x6

which is 216

Answer:

x=6

Step-by-step explanation:

5x+9-3x=21

5x-3x=21-9

2x=12

x=6

Answer:

exponential!!! That is the answer if this is for Khan Academy!!

Answer: it going to be 10.2% percent

Step-by-step explanation: that how you get your answer as your -

10.2 %

x + 8x = 9x

(like 1 + 8 but with x's)

Answer: 2070.14

Step-by-step explanation:

Slide the decimal for 24.9 and get 0.249

1853.68 × 0.249 ÷ 12 = $38.46

you have 0.249 as the monthly rate which means dividing it by 12 is a key to your answer

$1853.68 +38.46 + 178.00 = $2070.14