please answer asap!!!!!!!!

After considering the given data we come to the conclusion that the area to the left of z is 0.982, which is Option D. And the standard deviation of the given data is 87.6, which is Option C.


In order to  calculate the area to the left of z=2.09 we have to  apply the z-table:
1. Search for the row that starts with "2.0" in the leftmost column of the z-table.
2. Then for the column that starts with "0.09" in the top row of the z-table.
3. Here the value at the intersection of this row and column is 0.9821.
4. Finally round this value to three decimal places to get 0.982.
Hence , the area to the left of z=2.09 is 0.982.

Now for the second part of the question
Applying the given data set {10, 26, 84, 48, 250, 56}, we can evaluate the standard deviation as follows:

1. Evaluate the mean:
mean = (10 + 26 + 84 + 48 + 250 + 56) / 6 = 74
2. Applying subtraction of the mean from each data point:
{10 - 74, 26 - 74, 84 - 74, 48 - 74, 250 - 74, 56 - 74}
= {-64, -48, 10, -26, 176, -18}
3. Applying square of the result of step 2:
{(-64)², (-48)², (10)², (-26)², (176)², (-18)²}
= {4096, 2304, 100, 676, 30976, 324}
4. Exercising summation of the result of step 3:
4096 + 2304 + 100 + 676 + 30976 + 324
= 38176
5. Applying division of the result of step 4 by the number of data points (n):
standard deviation = √(38176 / (6 -1))
= √7625.2)
≈ 87.6.
Therefore, the answer is  87.6
To learn more about standard deviation
https://brainly.com/question/24298037
#SPJ1

Answer:

\((r \;\circ\;q)(4) = \boxed{5}\\\\(q \;\circ\;r)(4) = \boxed{13}\\\)

Step-by-step explanation:

We have the following functions

\(q(x) = x^2+4\\\\and\\\\r(x) = \sqrt{x+5}\\\\\)

1. To find
\((r \;\circ \;q)(4) = r(\;q(4)\;)\)

First find
\(q(4) = 4^2 + 4 = 16 + 4 = 20\)

Substitute this value for x in r(x)

\(r(20) = \sqrt{20 + 5} = \sqrt{25} = 5\)

So
\(\bold{(r \;\circ \;q)(4) = 5}\)

2. To find
\((q \;\circ\;r)(4) = q(\;r(4)\;)\)

First find
\(r(4) = \sqrt{4 + 5} = \sqrt{9} = 3\\\\\)

Substitute this value for x in q(x)

\(q(3) = 3^2 + 4 = 9 + 4 = 13\\\\\bold{(q \;\circ\;r)(4) = 13}\)

The compositions of functions are:

Here we have the two functions:

q(x) = x² + 4

r(x)=  √(x + 5)

We want to find the two compositions:

(r o q)(4) = r(q(4))

First let's find:

q(4) = 4² + 4 = 16 + 4 = 20

Then:

r(q(4)) = r(20) =  √(20 + 5) = 5

And the other composition is:

(q o r)(4) = q(r(4))

First, r(4) = √(4 + 5) = 3

Then:

q(r(4)) = q(3) = 3² + 4 = 9 + 4 = 13

Learn more about compositions at:

https://brainly.com/question/10687170

#SPJ1

The scale factor is discussed below.

Given is the scale factor.

Scale factor is a dimensionless quantity that tells by how much time a specific dimension of a figure is enlarged or reduced. Mathematically, it is the ratio of two similar quantities. In case of length scaling, we can write -

K = L{final}/L{initial}

Therefore, the scale factor is discussed above.

To solve more questions on translations, visit the link below -

https://brainly.com/question/12463306

#SPJ1

A zero has the same meaning as the vertex.

The point where two lines meet forming an angle or set of angles is referred to as a vertex. This can also be called a point of origin especially when considering the axis of a Cartesian coordinate.

The vertex can be taken as zero since it is referred to as the point of origin. This is different to the axis of symmetry; as the axis of symmetry is one that splits a given plotted points i.e. a graph into two equal parts.

Thus, a zero has the same meaning as the vertex.

Learn more about vertex at https://brainly.com/question/1217219

#SPJ1

Number line equality to -5< =< -1

the value of the investment when she retires is $26434.92.

Compound interest is when you earn interest on both the money you've saved and the interest you earn.

Formula:

A = P(1 + {r}/{n})^{n.t}

A = final amount

P = initial principal balance

r = interest rate

n = number of times interest applied per time period

t = number of time periods elapsed

here, we have,

given that,

Leilamade a one-time investment of $12 000.00 in a

registered retirement savings plan (RRSP) at 2.65%, compounded

semi-annually.

She plans to withdraw the money when she retires in 30

years.

So, she get finally is,

using the formula we get,

$26434.92

hence,  the value of the investment when she retires is $26434.92.

To learn more on Compound interest click:

brainly.com/question/29335425

#SPJ1

Answer: 0.03

Step-by-step explanation:

Answer:

\(\displaystyle{x = \dfrac{\log 7}{\log 5}}\)

Step-by-step explanation:

Given the equation:

\(\displaystyle{2\left(5^x\right)=14}\)

Divide both sides by 2:

\(\displaystyle{\dfrac{2\left(5^x\right)}{2}=\dfrac{14}{2}}\\\\\displaystyle{5^x=7}\)

Apply common logarithm both sides:

\(\displaystyle{\log 5^x = \log 7}\)

From the property:

\(\displaystyle{\log a^n = n\log a}\)

Thus:

\(\displaystyle{x\log 5 = \log 7}\)

Divide both sides by log5:

\(\displaystyle{\dfrac{x\log 5}{\log 5} = \dfrac{\log 7}{\log 5}}\\\\\displaystyle{x = \dfrac{\log 7}{\log 5}}\)

The values of the constants m and c include the following:

m = -1.3

c = 7.1

In Mathematics and Geometry, the slope-intercept form of the equation of a straight line is given by this mathematical equation;

y = mx + c

Where:

Since the point P(-7, 2) is mapped onto P' (3, -11) by the reflection y = mx + c, we can write the following system of equations;

2 = -7m + c    ...equation 1.

-11 = 3m + c    ...equation 2.

By solving the system of equations simultaneously, we have:

2 = -7m - 3m - 11

11 + 2 = -10m

13 = -10m

m = -1.3

c = 7m + 2

c = 7(-1.3) + 2

c = -7.1

Read more on slope-intercept here: brainly.com/question/7889446

#SPJ1

Answer:

c+4

Step-by-step explanation:

Simplification of the expression c+c+7+5c-3-6c is c+4.

In mathematics, expression is the combining of variables with the application of operations and prescribed rules. It could take the shape of an equation, some numbers, etc.

Given, the expression

c+c+7+5c-3-6c

Simplifying,

c+c+7+5c-3-6c

= 7c-6c + 7-3

= c+4

Therefore, after the simplification expression is c+4.

To learn more about the expression;

brainly.com/question/24242989  

#SPJ2

Answer:

3:25

Step-by-step explanation:

The photo shows how it's solved.

Answer: 3:25

Step-by-step explanation:

Step 1) Convert the decimal number to a fraction by making 0.12 the numerator and 1 the denominator

0.12 = 0.12/1

Step 2) Multiply the numerator and denominator by 100 to eliminate the decimal point.
0.12 x 100

------------ = 12/100
1 x 100

Step 3) Simplify the fraction in the previous step by dividing the numerator and the denominator by the greatest common factor (GCF) of 12 and 100. (The GCF of 12 and 100 is 4.)

12 ÷ 4

---------  = 3/25  

100 ÷ 4

Step 4) Convert the fraction in the previous step to a ratio by replacing the divider line with a colon like this:  

3  

25   =  3:25

Answer:

P=2(L+W)

42=2(12+W)

42=24+2w

2w=42-24

2w/2=18/2

w=9

Answer:

Step-by-step explanation:

Answer:

y = 3x + 2

Step-by-step explanation:

change in y ÷ change in x = gradient

6 ÷ 2 = 3

3 = gradient

equation of a straight line

y = mx + c

5 = 3(1) + c

5 = 3 + c

c = 2

confirmation

11 = 3(3) + c

11 = 9 + c

c = 2 (same = right)

substitute back in y = mx + c

y = 3x + 2

Answer:

-2.5, -1.5,  1.5 2.5 3.5 4.5

Step-by-step explanation:

I think I did this right.

I hope this helped!

Answer:

c

Step-by-step explanation:

assume base 10

-logy = x

\( \frac{1}{ log(y) } = x\)

log base x y = 5 turns into the format x^ 5 = y

implement that to get c

The augmented matrix of the given equations is shown (Refer to the matrix attached below.)

So, the augmented matrix will be:

Equations are,

Rewrite them systematically as:

Now, augmented matrix:

Therefore, the augmented matrix of the given equations is shown (Refer to the matrix attached below.)

Know more about an augmented matrix here:

https://brainly.com/question/24036095

#SPJ13

Answer:

ummmmmmmmmm i don't know sorry

Step-by-step explanation:

Answer:

47/4 or 11.75 or 11 & 3/4

Step-by-step explanation:

Solve by doing this

3x-2=7x-49

then it becomes:

-2=4x-49

then:

4x=47

then u got ure answer after u divide 47 by 4.

Answer: 10/40 or 1/4

Step-by-step explanation:

Add up all the amount of rolls, so 10+6+4+8+6+6=40

then add the probability of rolling a 3 or 6 = 10

divide that quantity out of the whole

answer is 10/40 and simplified is 1/4

hope it helps

Answer:

9.1s

Step-by-step explanation:

Since we know that velocity is uniformly decelerating, we can take the average velocity: Letting Vf equale 0 /ms, we get 1/2 21.8ms or 10.9ms. Now we know V = D/T and rearranging this gives T = D/V. Substitute our velocity of 10.9m/s for V and 99m for D: T = 99m/ 10.9ms. finally we get T = 9.1s                

Hope This Helps :)

The time in which Anny drives in the rain is 90 minutes. This is calculated by using the speed-distance-time formula.

Speed is the ratio of distance traveled to the time taken for traveling.

Speed=distance/time

Unit: m/s

It is given that,

Anny drives at a speed of 50 miles per hour if it is not raining and drives at a speed of 30 miles per hour.

Today she drove in the sun in the morning and the rain in the afternoon, for a total of 120 miles in 180 minutes.

Consider x be the time required to drive not in the rain and y be the time required to drive in the rain

So, the distance covered (not in the rain) = 50x (since the speed is 50 mile/h), and the distance covered (in the rain) =30y (since the speed is 30 miles/h)

Therefore, the total distance covered both in rain and without rain is:

50x+30y=120 (since the total distance she drove is 120 miles)

And the total time required for driving in rain and without rain is:

x + y=3 (since 180 minute = 3 hours)

On solving the above equations we get,

x=\(\frac{3}{2}\) and y=\(\frac{3}{2}\)

Then,

y=\(\frac{3}{2}\)×60(minute)=90 minute

Therefore, the time taken for her to drive in rain is 90 minutes.

Refer to more distance-related problems here:

https://brainly.com/question/2854969

#SPJ2

A. The interest amount will be $12.8.

B. He must pay Annual amount of $412.8 at the end of 6 months.

Interest is the idea that one party should be compensated for taking a risk and giving up the chance to use funds, while another party should be punished for using someone else's money.

The person who temporarily part with their money is entitled to compensation, and the person who temporarily uses those funds is frequently required to make this payment.

The simple interest is calculated as :

S.I = P×T×R

where,

S.I is the simple interest

P = Principal

T = Time period in years

R = Annual interest rate

The above problem,

Amount borrowed which would be the principal (P) = $400

Time period = 6 months = 1/2 year

Annual interest rate = 6.8% = 6.8/100 = 0.068

Substitute the details in formula

Simple Interest = 400×1/2×0.068

                         = 200 ×0.068

                         = 12.8

Amount to be paid = 400 + 12.8

                                = 412.8

Thus, the interest will be $12.8 and he must pay $412.8 at the end of 6 months.

Learn more about interest

https://brainly.com/question/29480777

#SPJ1

Answer:

the opposite of 8

Step-by-step explanation:

The following weights (in pounds) are within 1.5 units of the standard deviation of the mean:

A. 4.4

B. 4.6

D. 5.2

E. 6.9

F. 7.6

The mean weight of the chickens in this population is 6.3 pounds, and the standard deviation is 1.2 pounds. To be within 1.5 units of the standard deviation, we need to look at the range of weights that are 1.2 +/- 1.5, which is 4.7 to 7.9 pounds.

This means that the weights within this range are 4.4, 4.6, 5.2, 6.9, 7.6, and any other weights that fall within the range. Therefore, the weights within 1.5 units of the standard deviation of the mean are:

A. 4.4, B. 4.6, D. 5.2, E. 6.9, and F. 7.6.

The standard deviation measures the spread of the data from the mean. In this case, the mean is 6.3 pounds and the standard deviation is 1.2 pounds. This means that the data points on either side of the mean will be 1.2 pounds away from it.

To learn more about standard deviation of the mean, use the link:

brainly.com/question/16030790

#SPJ4

A study about the diet of undergraduate students,

5) Chi-square statistic test , would use to determine if the observed and expected frequencies of diets are consistent. With null hypothesis as the observed and expected frequencies of diets are consistent.

6) The excepted students to eat

meat = 165

exclusively vegetarian= 6

strict vegetarian= 1

7) Chi-square statistic value is 62.755 and degree of freedom are 2 . The critical value for Chi-square statistic is 0.00001

8) P-value< 0.05, so reject the null hypothesis.

Therefore there is no sufficient evidence to support that the observed and expected frequencies of diets are consistent.

A random sample of undergraduates in the University of Virginia dining hall.

Sample size , n = 175

Three categories are given as shown in above table with percentage of report eating a diet.

Report also consists observed values about the number of students diet including the three different categories

5) The Chi-square test would use to determine the required result. Consider Null and alternative hypothesis as :

H₀ : the observed and expected frequencies of diets are consistent

Hₐ : the observed and expected frequencies of diets are not consistent

χ² =∑(Oᵢ - Eᵢ)²/Eᵢ

where, χ² --> chi-square cofficient or value

Oᵢ --> observed values which are provided

Eᵢ --> excepted values

Excepted values , Eᵢ = n× p

here we assume that,

6) The number of students would you expect to eat meat = 168

The number of students would you expect to eat exclusively vegetarian

= 6.125 ~ 6

The number of students would you expect to eat strict vegetarian = 0.875 ~ 1

7) Degree of freedom,df = k - 1 = 2, where k denotes total number of categories here

Chi-square statistic, χ² = ∑(Oᵢ - Eᵢ)²/E

χ² = 62.755

Using chi-square table, the critical chi-square value for χ² = 62.755 and degree of freedom 2 is 0.00001 ..

8) Significance level, alpha = 0.05

As we see that p-value = 0.00001< alpha = 0.05

So, we reject the null hypothesis.

Thus, there is no sufficient evidence to support null hypothesis.

To learn more about Chi-square statistic, refer:

https://brainly.com/question/4543358

#SPJ4

Answer:

B) 15

Step-by-step explanation:

Using basic logic we find that x = 4 and y = 1

4^2 = 16

1^2 = 1

16 - 1 = 15

The minimum number of aunts that Shamar must have based on the information provided is 10.

It is known that uncles will take a photograph in groups of 10, while aunts will take a photograph in groups of 5. Based on this, the possible number for each are:

Uncles: 10, 20, 30, 40, 50

Aunts: 5, 10, 15, 20, 25

In this case, the minimum number is the LCM or Least Common Multiple and based on the previous list, this number is 10.

Learn more about the Least Common Multiple in https://brainly.com/question/30060162

#SPJ1

The correct answer is option D: A line passes through the point (0, 0) and continues through the point (12, 3)

For the first question:

The table shows a proportional relationship between x and y. To describe what the graph of this proportional relationship would look like, we can examine the given data points.

The data points are (12, 3), (8, 26), and (24, ?). We can observe that as x increases, y also increases. This indicates a positive correlation between the variables. Additionally, we can see that the ratio of y to x remains constant for each data point.

Now, let's analyze the answer options:

A. A line passes through the point (0, 0) and continues through the point (3, 12).

This answer option does not align with the given data because there is no data point with an x-value of 3 and a corresponding y-value of 12.

B. A line passes through the point (0, 0) and continues through the point (2, 8).

This answer option aligns with the given data because (2, 8) is a valid data point from the table, and the line passes through the origin (0, 0).

C. A line passes through the point (0, 0) and continues through the point (6, 24).

This answer option does not align with the given data because there is no data point with an x-value of 6 and a corresponding y-value of 24.

D. A line passes through the point (0, 0) and continues through the point (12, 3).

This answer option aligns with the given data because (12, 3) is a valid data point from the table, and the line passes through the origin (0, 0).

Based on the analysis, the correct answer is option D: A line passes through the point (0, 0) and continues through the point (12, 3). This accurately represents the graph of the proportional relationship given in the table.

For the second question, I'm sorry, but you didn't provide the multiple-choice options or the complete question. Could you please provide the question and options so that I can assist you further?

for more such question on point visit

https://brainly.com/question/1859113

#SPJ8

Answer:

J(-5,2), A(-5,4), and N(-1,1)

Step-by-step explanation:

Answer:

9/10

Step-by-step explanation:

To add fractions, find the LCD and then combine.

Exact Form:

9/10

Decimal Form:

0.9