A poll worker analyzing the ages of voters found that Mu = 65 and Sigma = 5. What is a possible voter age that would give her zx = 1. 14? Round your answer to the nearest whole number.

Answer:

(x - 6)^2 = 0 or (x + 2)^2 = 0

Take the square root of both sides:

x - 6 = 0 or (x + 2)^2 = 0

Add 6 to both sides:

x = 6 or (x + 2)^2 = 0

Take the square root of both sides:

x = 6 or x + 2 = 0

Subtract 2 from both sides:

Answer: x = 6 or x = -2

Step-by-step explanation: the answer is x= 6  or = -2

Answer:

15g

Step-by-step explanation:

Method A: Calculate the percent first

If you decrease an amount by 25%, you end up with 75% of the amount.

75% of 20g = 0.75 × 20g = 15g

Method B: Calculate the decrease first

We start with 20g. To decrease 20g by 25%, we calculate 25% of 20g.

25% of 20g = 0.25 × 20g = 5g

The decrease amount is 5g.

Now we subtract 5g from 20g.

20g - 5g = 15g

Suggestion: tell me that you want answer of all or anyone.

Answer: 33 degrees

Step-by-step explanation:

Since J and K are midpoints, JK must be parallel to GH.

If the linese are parallel, then angle IHG would equal angle IKJ because they would be corresponding angles. We can now set up an equation.

-7x + 75 = -4x + 57

Combine like terms:

3x = 18

Divide both sides by 3:

x = 6

Therefore, -7x + 75 = -7*6 + 75 = -42 + 75 = 33

Answer:

Step-by-step explanation:

Answer:

14 centimeters is 140 milimeters

Step-by-step explanation:

multiply centimeters by ten to get millimeteres

Answer:

The answer is

→ 14,000 cubic millimeters

Step-by-step explanation:

Given: 14 cubic centimeters.

14 cubic centimeters to cubic millimeters is 14,000 cubic millimeters.

Step 1: Multiply 14 by 1,000

[tex]14*1,000=14,000[/tex]

Hence, your answer is 14,000 cubic millimeters.

Answer:

6(y - 3)(2y + 5)

Step-by-step explanation:

12y^2 - 6y - 90

Factorize

6(2y^2 - y - 15)

Split the term

6(2y^2 - 6y + 5y - 15)

Regroup terms

6((2y^2 - 6y) + (5y - 15))

Factorize

6((2y(y - 3) + 5( y - 3))

Factorize

6(y - 3)(2y + 5)

Answer:

[tex]6(y-3)(2y+5)[/tex]

Step-by-step explanation:

[tex]12y^2-6y-90[/tex]

First, factor out the common term of 6:

[tex]\implies 6(2y^2-y-15)[/tex]

To factor [tex](2y^2-y-15)[/tex]:

Multiply the coefficient of [tex]y^2[/tex] by the constant:

[tex]\implies 2 \times -15 = -30[/tex]

Now find factors of -30 that sum to the coefficient of [tex]-y[/tex], i.e. -1

Factors of 30:  1, 2, 3, 5, 6, 10, 15, 30

So factors of -30 that sum of -1 are:  -6 and 5

Rewrite the middle term of [tex](2y^2-y-15)[/tex] as [tex]-6y + 5y[/tex]:

[tex]\implies 2y^2-6y+5y-15[/tex]

Factor each pair of terms:

[tex]\implies 2y(y-3)+5(y-3)[/tex]

Factor out the constant term:

[tex]\implies (y-3)(2y+5)[/tex]

Therefore, the final factorization is:

[tex]\implies 6(y-3)(2y+5)[/tex]

Answer:

Yes

Step-by-step explanation:

Without using the property, you would have to do 35+82+65 which is messy. 35+82=117+65=182 ugh

Using the property however, tells you that you can do 35+65+82 which is easier to solve! 35+65=100+82=182

Janae and Jerome each have either 3, or 4 or 5 marbles. Option C, D and E are correct.

Given that the number of marbles has:

Janae = m

Jerome  = m

Gwen = 4(m+2)

John = 8m+4

John has more marbles than Janae, Jerome, and Gwen combined, So this can be written as,

[tex]8m+4 \geq m + m + 4(m+2)[/tex]

[tex]8m+4\geq 2m + 4m+8[/tex]

[tex]8m+4 \geq 6m+8[/tex]

[tex]2m\geq 4[/tex]

[tex]m\geq 2[/tex]

It means that the value of m is greater than 2, it can be 3, 4 or 5.

Hence we can conclude that Janae and Jerome each have either 3, or 4 or 5 marbles. Options C, D and E are correct.

To know more about integers, follow the link given below.

https://brainly.com/question/1768255.

x + y = 71.5

x = 47.8

y = 71.5 - 47.8

71.5 - 47.8 = 23.7

y = 23.7 pounds

Answer:

Step-by-step explanation:

Product = 20

Sum = 12

Factors = 2 , 10    {2*10 = 20 & 2+10 = 12}

x² +12x + 20 = x² + 2x + 10x + 20    {Split the middle terms using the factors}

       = x( x + 2) + 10(x + 2)

       = (x + 2)(x + 10)

Answer:

y = 6.3

Step-by-step explanation:

ΔLMN ~ ΔABC

The two triangles are similar which means the sides have the same proportions. To put it simply, one shape is just an enlargement of the other.

In this case, triangle ABC is an enlargement of triangle LMN so we can work out a scale factor.

To work out the scale factor, we can do 10 ÷ 7 = 1.4285714... To find y, all we have to do is divide 9 by the scale factor to get 6.3.

Hope this helps!

Ratio remains same as triangles are similar

Option D

I am stuck on this too...
Maybe we can figure it out together

Answer:You would wind up with (3, 2). When we move the point to the left, we subtract the amount that we move. 5 - 2 = 3And when we move down, we also subtract by that number in the y portion. 4 - 2 = 2(3, 2)

Step-by-step explanation:

Answer:  25

Step-by-step explanation:

Let x be the amount of fish in Ju Long's aquarium.

We know that 24% of x is equal to 6.

We can now set up an equation.

24% * x = 6

24% as a decimal is 0.24"

0.24x = 6

We can divide both sides by 0.24:

x = 25

The solution is, 25 fish are in Ju long's aquarium.

An equation is a  mathematical statement that is made up of two expressions connected by an equal sign.  In its simplest form in algebra, the definition of an equation is a mathematical statement that shows that two mathematical expressions are equal.

here, we have,

given that,

Ju long has 6 guppies in his aquarium.

This is 24% of the fish in the aquarium.

Let x be the amount of fish in Ju Long's aquarium.

We know that 24% of x is equal to 6.

We can now set up an equation.

24% * x = 6

24% as a decimal is 0.24"

0.24x = 6

We can divide both sides by 0.24:

x = 25

Hence, The solution is, 25 fish are in Ju long's aquarium.

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Answer:

3 1/2 Pounds

Step-by-step explanation:

2/3=4/6

4/6+5/6=9/6

30/6-9/6=21/6

Answer:

[tex]d)\ y=x+5[/tex]

Step-by-step explanation:

Slope (m) form: [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]

[tex]m=\frac{y_2-y_1}{x_2-x_1} \\\\m=\frac{5-2}{0-(-3)} \\\\m=\frac{3}{(0+3)} \\\\m=\frac{3}{3} \\\\m=1[/tex]

[tex]y=mx+b\\y=1x+b\\y=x+b[/tex]

(0, 5)

[tex]5=0+b\\5=b[/tex]

[tex]y=x+5[/tex]

Check your answer:

[tex]y=x+b\\5=0+5\\5=5[/tex]

This statement is true

Hope this helps!

Answer:

D. y=x+5

Step-by-step explanation:

Find the slope of the line. Remember to use equation: m=y2−y1/x2−x1

m= 5-(2)/0-(-3)

Simplify both numerator and denominator, then divide. You'll get m=1

Use the slope 1 and a given point (−3,2) to substitute for x1 and y1 in the point-slope form y−y1=m(x−x1).

y−(2)=1⋅(x−(−3))

Simplify the equation.

y−2=1⋅(x+3)

Solve for y by multiplying x+3 by 1.

y−2=x+3

Move everything that doesnt contain y to the right by adding 2 to both sides of the equation

y=x+3+2

and then added 3 and 2.

y=x+5

Answer:

A. the system might match a pattern in the system and fail to detect it, missing important variations in the data.

Explanation:

100% :)

Answer:

A

Step-by-step explanation:

Just did the test. Hope I could help :)

Answer: $201.6

Step-by-step explanation: $160+26%/100=201.6

[tex][Hello,BrainlyUser][/tex]

Answer:

$201.60

Step-by-step explanation:

Marks up ⇒ Increase ⇒ Add

$160 x 26% =41.60

$160 + 41.60=201.6

Answer → $201.6

Hence, Price of the bookcase in the furniture store is $201.60

[CloudBreeze]

Answer:

y = -0.71

x = 8

Step-by-step explanation:

Bring variables on one side of the equation

18.3y - 8.4y = -14.6 + 7.6

4.1x - 0.7x = 25.9 + 1.3

Solve for the variable

9.9y = -7

y = -70/99

3.4x = 27.2

x = 8

Answer:

44.4 meters

Step-by-step explanation:

Using 1 foot = 30 cm

convert 148 feet to centimeters by multiplying.

148ft × 30cm/1ft

= 148 × 30

= 4440 cm

Then convert cm to meters by dividing by 100.

1 meter = 100cm

4440cm × 1m/100cm

= 4440/100

= 44.4m

148 feet is 44.4m

Answer: 100pi

Step-by-step explanation:

Answer:

A semicircle is drawn with AC as diameter. If AB = BC = 7 cm, find the area of the shaded region. Take π = 22/7. 25. A circular field has perimeter 660 m.

Using the formula for area of circle and right angled triangle, we find that area of shaded region is  96[tex]cm^2[/tex].

Area of circle = [tex]\pi r^2[/tex]

where, r is the radius of circle.

Area of right angled triangle = [tex]\frac{1}{2} * base *height[/tex]

The area of shaded region is given by =

= area of semicircle with AB as diameter + area of semicircle with BC as diameter + area of triangle ABC - area of semicircle with AC as diameter

Now,

area of semicircle with AB as diameter =

AB = diameter  =  12cm

radius = 6 cm

area of semicircle = [tex]\frac{1}{2} \pi r^2 = \frac{1}{2} *3.14 * 6^2 = 56.52[/tex]

area of semicircle with BC as diameter =

BC = diameter  =  16cm

radius = 8 cm

area of semicircle = [tex]\frac{1}{2} \pi r^2 = \frac{1}{2} *3.14 * 8^2 = 100.48[/tex]

area of semicircle with AC as diameter =

AC = diameter  =  20cm

radius = 10 cm

area of semicircle = [tex]\frac{1}{2} \pi r^2 = \frac{1}{2} *3.14 * 10^2 =157[/tex]

area of triangle ABC =

AB = base = 12cm

BC  = perpendicular = 16 cm

area(ABC) = [tex]\frac{1}{2}*12*16 = 96[/tex]

The area of shaded region is given by = 56.52 + 100.48 + 96 - 157 = 96[tex]cm^2[/tex]

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Answer:

1. [tex]-12x^{5}y^{5}[/tex]

2. [tex]\frac{10b^{8} }{a^{3} }[/tex]

3. correct

4. [tex]a^{8}b^{10}c^{15}[/tex]

Step-by-step explanation:

When dividing a monomial by another monomial, we divide the coefficients and apply the quotient law of exponents, x m ÷ x n = x m – n to the variables. If both the monomials have negative coefficients, the negative signs cancel out and the answer so obtained will be having a positive coefficient only.

For example, the binomial 2x +4 can be multiplied by the monomial 4x so that (2x) (4x) equals 8x2 and 4·4x equals 16x, using the distributive property. Therefore, (2x +4) (4x) equals 8x2 + 16x.Mar 15, 2016

Use the Quotient Property. When we divide monomials with more than one variable, we write one fraction for each variable. Use fraction multiplication. Simplify and use the Quotient Property.

Solution:

We know that:

Let's substitute the length, width, and height in the expression to find the volume.

Answer:

56

Step-by-step explanation:

trust me i failed that test and reviewed it

Answer

They would lose 14,080 a year so that would 14,080.

I hope that helped! :)

Answer:

6898.58mm^3

Step-by-step explanation:

volume= π x radius^2 x h

= 3.14 x (13)^2 x 13

= 3.14 x 169 x 13

=6898.58