Mathamathics for 9th

The average is 40 and  the margin of error is 10.95.

What is margin of error?

The margin of error is a statistic expressing the amount of random sampling in the result of a survey.

Average (A) = sum of all the value/ given set.

A = (51+ 41 + 28)/3 = 40

margin of error = 100/square root of 120 = 10.95.

Therefore, the average is 40 and  the margin of error is 10.95.

Learn more about margin of error here:

https://brainly.com/question/31154636

#SPJ1

Answer: d=18.2

Step-by-step explanation: d=2r=2·9.1=18.2

Answer:

To solve the expression 2 + 7 • (-3)^2, we follow the order of operations, also known as PEMDAS/BODMAS, which stands for Parentheses/Brackets, Exponents/Orders, Multiplication and Division (from left to right), and Addition and Subtraction (from left to right).

First, we evaluate the exponent: (-3)^2 = 9 (because squaring a number means multiplying it by itself).

Next, we perform multiplication: 7 • 9 = 63.

Finally, we perform addition: 2 + 63 = 65.

So, the value of the expression 2 + 7 • (-3)^2 is 65.

Answer:

0.0409 = 4.09% probability that the company will receive more than 20 calls per hour

Step-by-step explanation:

To solve this question, we need to understand the Poisson distribution and the normal distribution.

Poisson distribution:

random variable is given by the following formula:

\(P(X = x) = \frac{e^{-\lambda}*\lambda^{x}}{(x)!}\)

In which

x is the number of sucesses

e = 2.71828 is the Euler number

\(\lambda\) is the mean in the given interval, which is the same as the variance.

Normal distribution:

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

In a set with mean \(\mu\) and standard deviation \(\sigma\), the zscore of a measure X is given by:

\(Z = \frac{X - \mu}{\sigma}\)

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.

The normal approximation can be used to a Poisson distribution, with \(\mu = \lambda, \sigma = \sqrt{\lambda}\)

Computer Help Hot Line receives, on average, 14 calls per hour asking for assistance.

This means that \(\lambda = 14\).

Then

\(\mu = 14, \sigma = \sqrt{14} = 3.74\)

What is the probability that the company will receive more than 20 calls per hour?

Using continuity correction, this is \(P(X > 20 + 0.5) = P(X > 20.5)\), which is 1 subtracted by the pvalue of Z when X = 20.5. So

\(Z = \frac{X - \mu}{\sigma}\)

\(Z = \frac{20.5 - 14}{3.74}\)

\(Z = 1.74\)

\(Z = 1.74\) has a pvalue of 0.9591

1 - 0.9591 = 0.0409

0.0409 = 4.09% probability that the company will receive more than 20 calls per hour

Answer:

i think it would be 18 kids in the class

Step-by-step explanation:

since for every 4 boys there are 5 girls and so it means

so for every 10 girls there would be 8 boys

The graph of equation is shown in figure.

We have to given that,

The equation is,

⇒ y = - 2x² + 12x - 17

Now, We have the given equation is a quadratic equation.

Hence, We can simplify as,

⇒ y = - 2x² + 12x - 17

⇒ y = - 2 (x² + 6x) - 17

⇒ y = - 2 (x² - 6x + 3² - 3²) - 17

⇒ y = - 2 (x - 3)² + 18 - 17

⇒ y = - 2 (x - 3)² + 1

Hence, This represent the equation of parabola with vertex (3, 1).

Thus, The graph of equation is shown in figure.

Learn more about parabola visit:

https://brainly.com/question/29635857

#SPJ1

Answer:

The answer is option 2

Step-by-step explanation:

The solution is in the image

Answer: Penny is closer

Step-by-step explanation:

1 mile is 1760 yards- so 2 miles is 3520 yards, so Penny is closer... which makes no sense since they live in the same building, but there you have it

Answer: Reference angle= 40 degrees

Step-by-step explanation: Here we want to find the Reference angle for -230 degrees,

 Step 1: Draw the angle in the standard position i.e. drawing the angle with its initial side on the positive x-axis and its vertex at the origin.

 Step 2: By this, we get that -230 degrees lies in the third quadrant. (The quadrant is determined by the location of the terminal side of the angle.)

 Step 3: To find the Reference angle we have to determine the absolute value of -230 degrees and which is 230 degrees.

 Step 4: We have the formula to determine as the angle is in the 3rd quadrant we use 270-(given angle)=270-230=40

Step 5: 40 degrees is the reference angle for -230 degrees.

Answer:

Idek b

Step-by-step explanation:

Freya should budget a maximum of $472.50 for housing expenses based on the guideline of spending 30% of her monthly income.

When budgeting for housing, it is generally recommended to allocate a certain percentage of your income towards housing expenses. The recommended percentage varies depending on factors such as location, personal financial goals, and individual circumstances.

A common guideline is to spend no more than 30% of your monthly income on housing expenses. To determine the maximum amount Freya should budget for housing, we can calculate 30% of her monthly income:

Maximum housing budget = 30% of $1575

Maximum housing budget = 0.30 × $1575

Maximum housing budget = $472.50

Therefore, Freya should budget a maximum of $472.50 for housing expenses based on the guideline of spending 30% of her monthly income.

for such more question on income

https://brainly.com/question/15169974

#SPJ8

The code represented by the word "AFGAN" would be "02034."

To find the code represented by the word "AFGAN," we need to refer to the given code representation of the word "AFGANISTAN," which is "02034560."

From the given code, we can determine that the letters "AFGAN" correspond to the first five digits of the code.

Therefore, the code represented by the word "AFGAN" would be "02034."

Learn more about code at https://brainly.com/question/25781514

#SPJ1

Answer:

i think its 81

Step-by-step explanation:

The coordinates of the vertices for the image of the pre image is translated 4 units right are: ’(-1, 2), B’(5, 3), and C’(1, 0).

Translation on the coordinate plane is sliding a point or figure in any direction without any changes in size or shape.

During translation, the coordinates of the vertices of a figure or point change, and they slide left or right, up, or down without changing size or shape.

Given the question above, we need to find the coordinates of the vertices for the image of the pre image that are translated 4 units right.

So,

\(\rightarrow\sf \boxed{\boxed{-5+4=1=\bold{(-1,2)}}}\)

\(\rightarrow\sf \boxed{\boxed{1+4=5=\bold{(5,3)}}}\)

\(\rightarrow\sf \boxed{\boxed{-3+4=1=\bold{(1,0)}}}\)

Thus, the coordinates of the vertices for the image of the pre image is translated 4 units right are: ’(-1, 2), B’(5, 3), and C’(1, 0).

Learn more about translation on a coordinate plane at:

https://brainly.com/question/28109834

Answer:

Step-by-step explanation:

a

Answer: cos4

Step-by-step explanation: 50 meters

B. 50-√3 meters

C. 100 meters

D. 100-√3 meters

40. What expression is used to answer: "A 4-m tall man stands on horizontal ground 43 m from a tree.

The angle of depression from the top of the tree to his eyes is 22°. Estimate the height of the tree."

A. sin 22

B. cos 22

C. tan 22

D. cot 22

Answer:

14/15

Step-by-step explanation:

Let me know if i got it right if not I'm sorry :(

The required quotient would be 14/ 15 which is a fraction.

A quotient is defined as the outcome of dividing an integer by any divisor that can be said to be a quotient. The dividend contains the divisor a specific number of times.

We have been given that two numbers are 4/5 and 6/7

To determine the quotient or 4/5 and 6/7

⇒ 4/5 ÷  6/7

⇒ 4/5 / 6/7

Reciprocal the term of denominator,

⇒ 4/5 × 7/6

Apply the multiplication operation,

⇒ 28 / 30

Reduce the above fraction to the simplest form

⇒ 14/ 15

Therefore, the required quotient would be 14/ 15 which is a fraction.

Learn more about the quotient here:

brainly.com/question/27796160

#SPJ2

Answer:

Great Britain we’re colonizers

Step-by-step explanation:

Answer:

C) 0.08

Step-by-step explanation:

Answer: y = (x - 1)² - 3

Step-by-step explanation:

y = (1-1)²-3
y=0-3
y=-3

Answer:

The slope is 4/9

Step-by-step explanation:

-9/4 changes to 4/9 as the slope to be perpendicular.

Answer:

4/9

Step-by-step explanation:

The probability of either A or B is 0.48 and the probability neither A nor B would be 0.52

Probability defines the likelihood of occurrence of an event. There are many real-life situations in which we may have to predict the outcome of an event. We may be sure or not sure of the results of an event

probability A will occur pr(A) = 0.39, probability A will not occur pr(A') = 1 - 0.39 = 0.61,

Probability B will occur pr(B) = 0.42, probability B will not occur, pr(B') = 1 - 0.42 = 0.58

For mutually exclusive events if A will occur it means that B will not occur

So, probability either A or B is

= pr(A) x pr(B') + pr(B) x Pr(A')

= 0.39 x 0.58 + 0.42 x 0.61

= 0.4824 and to 2 decimal places the answer becomes 0.48

The probability neither A nor B is equal to 1 - 0.48 = 0.52

In conclusion the probability Either A or B will occur is 0.48 and the probability neither A nor B is 0.52

Learn more about probability: https://brainly.com/question/251701

#SPJ1

Answer:

9/20 or 0.45

Step-by-step explanation:

we multiply them

3×3/4×5

9/20

or 0.45

Answer:

she drive 65 miles Per hour

Answer:

if she drive for two more hours that means she drove 4 hours and plus 130 plus 130 and that will equal 260. so the answeris 260.

Step-by-step explanation:

Answer:

6.3

Step-by-step explanation:

99(.07)=6.3

original price was 92.7 + 6.3 gives you 99

Answer:

D

Step-by-step explanation:

why the panic ? you only need to compare the tiles with the actual terms in the equations and add them up.

x²

-x²

-x -x

x x x x (clearly that means 4x)

-1 -1 -1

1 1

so, we see it is D.

Answer:

Corresponding sides touch the same two angle pairs.

Step-by-step explanation:

Answer:

In a pair of similar triangles, the corresponding sides are proportional. Corresponding sides touch the same two angle pairs.

When the sides are corresponding it means to go from one triangle to another you can multiply each side by the same number.

The percent of the area that is not covered is 80 percent

In mathematics area is defined as the absolute or total space that an object or shape occupies. It is usually measured using centimeters, cm ² square or the use of meter square m ².

area of tent

= (10 - 0) * (6 - (-3))

= 90

The area of the campsite would be:

(25 - (-5) x (10 - (-5))

= 450

Then the area would be 450 - 90

= 360

the percentage that is not covered by tent = 360 / 450 x 100

= 80 percent

Read more on percentage here:https://brainly.com/question/24877689

#SPJ1

Answer:

\(3\frac{3}{8}\)

Step-by-step explanation:

Let LC be Lake Carl, LS be Lake Susan, and LW be Lake Wayne

First, find a way to denote all the lakes using one lake depth

LC = 1 1/8

LS = 3LC

LW = 3LS or 6LC

Then write an equation.

LW - LS = 6LC - 3LC = 3LC

Substitute LC and calculate.

3 * 1 1/8 = 3 3/8

Hope this helps :)

Have a great day!