Graph 5x + 3y = 15 on a graph ​

Step-by-step explanation:

Let [tex]$X_1, X_2, X_3,$[/tex] . . . ,Xn be the random sample of n employee's sick days. It is given that the random samples follows the  Normal distribution along with standard deviation of 7 days. Let

[tex]X_i\sim N(\mu ,7)[/tex]

[tex]\bar{X} =\frac{1}{n}\Sigma X_i\sim N(\mu,\frac{7}{\sqrt n})[/tex]

or   [tex]Z=\frac{\bar{X}-\mu}{7 /\sqrt n} \sim N(0,1)[/tex]

So,

[tex]P(-Z_{\alpha /2} \leq Z\leq Z_{\alpha /2} ) = 1- \alpha[/tex]

[tex]P(-Z_{\alpha /2} \leq \frac{\bar{X}- \mu}{7 / \sqrt n}\leq Z_{\alpha /2} ) = 1- \alpha[/tex]

[tex]P(\bar{X}-\frac{7}{\sqrt n} Z_{\alpha / 2} \leq \mu \leq \bar{X}+\frac{7}{\sqrt n} Z_{\alpha / 2} ) = 1- \alpha[/tex]

Therefore, the confidence interval of the population mean for α = 0.05 is

= [tex]P(\bar{X}-\frac{7}{\sqrt n} Z_{\alpha / 2} , \bar{X}+\frac{7}{\sqrt n} Z_{\alpha / 2} )[/tex]

= [tex]P(21-\frac{7}{\sqrt 20} Z_{0.05 / 2} , 21+\frac{7}{\sqrt 20} Z_{0.05 / 2} )[/tex]

= (17.93, 24.07)

Answer:

6 is 100 times 0.06

0.06 is 10 times 0.006

60 is 1/100 of 6,000

Step-by-step explanation:

Since 6/100 is equal to 0.06, we can say that 6 is the result of multiplying 0.06 by one hundred (0.06 x 100 = 6).

On the other hand, since 0.06 / 10 is equal to 0.006, it is correct to say that 0.006 x 10 is equal to 0.06 (0.006 x 10 = 0.06).

Finally, 60 is one hundredth of 6000, since multiplying 60 x 100 the result is 6,000 (6,000 / 100 = 60).

Answer:

For plato users, the answer would be letter C.

Step-by-step explanation:

A.

It represents neither a relation nor a function.

B.

It represents a relation only.

C.

It represents both a relation and a function.

D.

It represents a function only.

This equation represents both a relation and a function.

Took the test, hope this helps!

B. It represents both a relation and a function.

Note that both functions and relations are defined as sets of lists. In fact, every function is a relation. However, not every relationship is a function. In a function, there cannot be two lists that disagree on only the last element.

Given the graph of a relation, if you can draw a vertical line that crosses the graph in more than one place, then the relation is not a function. This is a function. Any vertical line will cross this graph at only one point.

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Answer:

18.85

Step-by-step explanation:

Answer:

C. 42.

Step-by-step explanation:

This is an arithmetic sequence with common difference d = 4 and first term a = -3.

Sum of n terms = (n/2)[2a + (n - 1)d]

Sum of  six terms = (6/2)[2(-3) + (6 - 1)4]

= 3 * (-6 + 20)

= 42.

Answer:

C) 42

Step-by-step explanation:

Given is an Arithmetic Sequence, where

First term a = - 3

Common Difference d = 1-(-3)= 4

n = 6

[tex]S_6=? \\ \\ \because \: S_n = \frac{n}{2} \{2a + (n - 1)d \} \\ \\ \therefore \: S_6 = \frac{6}{2} \{2 \times ( - 3) + (6 - 1)4 \} \\ \\ \therefore \: S_6 = 3 \{ - 6 + 20\} \\ \\ \therefore \: S_6 = 3 \times 14 \\ \\ \huge \red{ \boxed{ \therefore \: S_6 = 42}}[/tex]

Answer: 3

Step-by-step explanation:

To solve, we need to use algebraic properties.

[tex]\frac{33}{(20-9)}[/tex]               [parenthesis]

[tex]\frac{33}{11}[/tex]                     [divide]

3

Step-by-step explanation:

this is your answer.........

The equation 2x + 21 = 7(x + 3) – 5x does not have solution that mean inconsistent equation.

The solution of the equation means the value of the unknown or variable.

The equation is given below.

2x + 21 = 7(x + 3) – 5x

Simplifying the equation, we have

2x + 21 = 7x + 21 – 5x

2x + 21 = 2x + 21

        0 = 0

The equation 2x + 21 = 7(x + 3) – 5x does not have solution that mean inconsistent equation.

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Answer:

let side of square= x

breadth of rectangle= side if square= x

length of rectangle= y

perimeter of both are equal, so

4x= 2(y+x)

4x= 2y+2x

2x=2y

x=y

Answer: if x = O in the denominator of the first term or if x = -2 in the second term, the results are undefined.

Step-by-step explanation: If the denominator of a fraction is 0 there is no number that solves it because it is impossible to divide by zero.

K is the midpt. of AB.

Its in the middle of AB so its the midpt.

Answer:

P = 11,000(2)^t/11

Step-by-step explanation:

The formula is given as:

P = Po(2)^t/d

Where

Po = Initial population = 11,000

t = time in months

d = doubling time = 11 months

Hence,

P = 11,000(2)^t/11

Hence, the population of cats is given by the equation:

P = 11,000(2)^t/11

Answer:

hmg = E

Step-by-step explanation:

Step 1: Write equation

h = E/mg

Step 2: Multiply both sides by mg

hmg = E

Answer: FALSE

Step-by-step explanation:

First find the height of the cylinder:

15.2 -0.5 = 14.7

The formula for a circle is : V= [tex]\pi r^{2}[/tex] h

V= [tex]\pi (5.4)^{2} (14.7)[/tex] (substitute pi for 3.14)

V= (3.14) (5.4)² (14.7) simplfy

V= 1345.96728

Answer:

0.125 miles per minute

Answer: Start by listing the first five multiples of each number. Then circle the common multiples. Finally, identify the least of these common multiples. The LCM of 8 and 10 is 40.

Step-by-step explanation:

Answer:

Start by listing the first five multiples of each number. Then circle the common multiples

Step-by-step explanation:

Answer:

1st: 2x

2nd: 2x+2

--------

Equation:

4(2x) = 3(2x+2)

-------

8x = 6x + 6

2x = 6

x = 3

-----

1st 2x = 6

2nd: 2x+2 = 8

Step-by-step explanation:

The two consecutive even integers such that four times the first equals three times the second is 6 and 8.

An integer is a number which has no decimal part.

According to the given question we have to find two consecutive even integers such that four times the first equals three times the second.

Let, the first even integer to be x.

∴ The second integer will be (x+2).          [ As every consecutive even                                                                                    

                                                                            integers comes after 2 digits]

Now, Four times the first equals three times the second which is

4x = 3(x+2)

4x = 3x + 6.

4x - 3x = 6

x = 6.

∴ The even integer is 6 and the second integer is 8.

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Answer:

50 divided by 5: 10.

5 divided by 50: 0.1

Step-by-step explanation:

Here we will show you step-by-step with detailed explanation how to calculate 50 divided by 5 using long division.

Before you continue, note that in the problem 50 divided by 5, the numbers are defined as follows:

50 = dividend

5 = divisor

Start by setting it up with the divisor 5 on the left side and the dividend 50 on the right side.

The divisor (5) goes into the first digit of the dividend (5), 1 time(s). Therefore, put 1 on top.

Multiply the divisor by the result in the previous step (5 x 1 = 5) and write that answer below the dividend.

Subtract the result in the previous step from the first digit of the dividend (5 - 5 = 0) and write the answer below.

Move down the 2nd digit of the dividend (0)

The divisor (5) goes into the bottom number (0), 0 time(s). Therefore, put 0 on top.

Multiply the divisor by the result in the previous step (5 x 0 = 0) and write that answer at the bottom.

Subtract the result in the previous step from the number written above it. (0 - 0 = 0) and write the answer at the bottom.

You are done, because there are no more digits to move down from the dividend.

The answer is the top number and the remainder is the bottom number.

Therefore, the answer to 50 divided by 5 OR 5 divided by 50 calculated using Long Division is:

Answer:

25%

Step-by-step explanation:

sorry if its wrong but im pretty sure its 25%

the answer is 3/8

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Answer:

The perimeter of the shape below is 44.48cm

Step-by-step explanation:

To calculate the perimeter of this figure we have to add

7cm + 12cm + 7cm + ( perimeter of semicircle)

To calculate the perimeter of the semicircle we have to use the following equation

d = 12cm

r = d/2 = 12cm/2 = 6cm

c = perimeter of semicircle

r = radius = 6cm

π = 3.14

c = π * r

we replace with the known values

c = * 3.14 * 6cm

c = 18.84cm

The perimeter of the semicircle is 18.84cm

Now that we have this value we can calculate the perimeter of the figure

7cm + 12cm + 7cm + ( 18.84cm ) = 44.48cm

The perimeter of the figure is 56.84 cm

The formula for area is equal to the product of the length and breadth of the rectangle. Whereas when we speak about the perimeter of a rectangle, it is equal to the sum of all its four sides.

Given here: A semicircle on top of the rectangle with dimensions 12, 7 cm respectively .

Thus perimeter of the figure = perimeter of semi circle+ perimeter of rectangle

∴ 3.14×6+2(12+7)=56.84 cm

Hence, The perimeter of the figure is 56.84 cm

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Answer:

15

Step-by-step explanation:

multiply the 6 by 3 and get 18, so do the same for the top, so 5 x3 = 15

Answer:

33 1/3

Step-by-step explanation:

1. First, you want to make 6 into a fraction with a bottom/denominator of 3 to make adding 6 and 2/3 easier.  So, to make 6 into a fraction with a denominator of 3 , you multiply 6 by 3 to get 18.  The 18 is the numerator (top of the fraction) and 3 is the denominator (the bottom).  So now you have 18/3+2/3 divided by 1/5.

2. Now, add the 18/3 and the 2/3 to get 20/3 divided by 1/5.

3. After this, you want to divide.  To divide fractions, you use Keep, Change, Flip (KCF).  To do this, keep the 20/3 the same, change the division sign to multiplication, and flip the 1/5 to 5/1.  So, now you have 20/3 multiplied by 5/1.

4. Simplify this by multiplying 20 by 5 and 3 by 1 to get 100/3.

5. Now we have to create 100/3 into a mixed number.  To do this, we know that 33 multiplied by 3 is 99, which is as close as we can get to 100 without going over.  This means that we can make 100/3 into 33 and 1/3.  

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The mixed fraction is 33 1/3.

A fraction represented with its quotient and remainder is a mixed fraction.

Given:

​6 2/3÷1/5​

On further solving the given expression

=20/3 ÷1/5​

Now, division of fraction is not possible

so,

=20/3 * 5/1

=100/3

=33 /13

Hence, the mixed fraction is 33 1/3.

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Answer:

Step-by-step explanation:

(2 - 0)/(0 + 2)= 2/2= 1

y - 0 = x + 2

y = x + 2

Answer:

w = 6in

l = 12in

Step-by-step explanation:

To solve this problem we propose 2 equations

2w + 2l = 48in

l = 2w

We replace the value of l = (2w) into the first equation and solve

2w + 2(2w) = 48in

2w + 4w = 48in

6w = 48in

w = 48in/6

w = 8in

we replace the value of w and solve

l = 2(8in)

l = 16in

Answer:

224 miles

Step-by-step explanation:

What you would do is take the 3 hours times the 46 mph to get 138 miles.

3*46=138

Next, multiply the 2 hours by the 43 mph to get 86 miles.

2*43=86

Lastly, you're going to add the two.

138+86=224 miles.