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To solve this, we need to use the z statistic. The formula for z score is:

z = (x – u) / s

where x is sample value = less than 90, u is the sample mean = 90.6, s is the standard deviation = 17.2

z = (90 – 90.6) / 17.2

z = -0.035

From the standard distribution tables:

P (z = -0.035) = 0.4860

Therefore there is about 48.60 % chance that it will be less than 90 pounds

Answer:

120

Step-by-step explanation:

Just did this

Answer:

ig 174

Step-by-step explanation:

Answer:

[I didn't do it right]

Step-by-step explanation:

[Deleted since it has been said to be wrong and I would not like to spread misinformation]

Step-by-step explanation:

Let's solve your inequality step-by-step.

2

w

+3>

29

w

3w+2

w

>

29

w

Let's find the critical points of the inequality.

3w+2

w

=

29

w

3w+2=29(Multiply both sides by w)

3w2+2w=29w(Multiply both sides by w)

3w2+2w−29w=29w−29w(Subtract 29w from both sides)3w2−27w=0

3w(w−9)=0(Factor left side of equation)

3w=0 or w−9=0(Set factors equal to 0)

w=0 or w=9

Check possible critical points.

w=0(Doesn't work in original equation)

w=9(Works in original equation)Answer:

w<0 or w>9

Answer:

T can be equal to 1 1/10 or 1.1 or 11/10

Step-by-step explanation:

10t=11

So divide by 10 on both sides.

t=11/10 which can be simplified to t=1 1/10 or t=1.1

:)

Answer:

Area of the rectangle  A   = 32 x - 8

Step-by-step explanation:

Explanation:-

Given that the length of the rectangle(l) = 8x-2

Given that the width of the rectangle (w) = 4

Area of the rectangle = length × width

                         A   = (8x - 2) × 4

                         A   = 32 x - 8

Final answer:-

Area of the rectangle  A   = 32 x - 8

Answer:

-10

Step-by-step explanation:

this is the answer have a great day

Equation 1 would be: 3a+2C

Equation 2 would be: 5a+3C

The system of equations are solved and the cost of adult ticket and child tickets are $ 6 and $ 4 respectively

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be represented as A

Now , the value of A is

Let the adult tickets be a

Let the child tickets be c

Group A buys 3 adult tickets and 2 child tickets and pays a total of $26

So , 3a + 2c = 26   be equation (1)

And , Group B buys 5 adult tickets and 3 child tickets and pays $42

So , 5a + 3c = 42   be equation (2)

On simplifying , we get

Multiply equation (1) by 5 and equation (2) by 3 , we get

15a + 10c = 130   be equation (3)

15a + 9c = 126   be equation (4)

Subtracting equation (4) from equation (3) , we get

c = $ 4

Therefore , the cost of child ticket is $ 4

Substituting the value of c in equation (1) , we get

3a + 2 ( 4 ) = 26

3a + 8 = 26

Subtracting 8 on both sides , we get

3a = 18

Divide by 3 on both sides , we get

a = $ 6

Therefore , the cost of adult ticket is $ 6

Hence , the system of equations are solved

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Step-by-step explanation:

The following system answer is no solution. Change one number to make the system an infinite solution and explain why it is now an infinite solution.

12y = 17 - 9x

-4y - 3x = 31

Answer:

145$ is the markup price i think

Step-by-step explanation:

100$+ 45%=x

100/100%=1

45%*1=45

100$+45$= 145$

Answer:

60=x

Step-by-step explanation:

The Quaternary period is best known for the ice ages and the rise of humans.

The numerous cycles of glacial expansion and retreat, the extinction of several species of big animals and birds, and the spread of humans are all associated with the Quaternary Period.

Due to the existence of at least one permanent ice sheet (Antarctica), the whole Quaternary Period, including the present, is referred to as an ice age; yet, the Pleistocene Epoch was usually drier and colder than the current period.

The Holocene is the most recent of the geochronological time divisions that make up the quaternary period, which began around 2.6 million years ago with the commencement of the Northern Hemisphere glacial (Zalasiewicz et al., 2015). Glacier deposits and proof of glacial erosion are the Quaternary's most distinctive features at middle and high latitudes. The main characteristic of high mountains like the Alps, Himalayas, Andes, and Rockies is glacial erosion.

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Answer:

the first one

Step-by-step explanation:

have a great day

Answer:

$11 sales tax per $200

Step-by-step explanation:

1375/25,000 = 11/200

Answer:

5.5%

Step-by-step explanation:

1375/25000= 5.5%

25000 * 5.5% = $1375.00

Answer:

(2x + 1)(3x + 5)

Step-by-step explanation:

The equation of a line is given by:

y = mx + c

where m is the slope of the line and c is the y-intercept.

The equation of the line is y = -0.5x + 5

Option C is the correct option.

The equation of a line is given by:

y = mx + c

where m is the slope of the line and c is the y-intercept.

Example:

The slope of the line y = 2x + 3 is 2.

The slope of a line that passes through (1, 2) and (2, 3) is 1.

We have,

The equation of the line y = mx + c.

The line passes through (4, 3) and (6, 2).

This means,

We can find the slope using the coordinates (4, 3) and (6, 2).

Slope = m

m = (2 - 3) / (6 - 4)

m = -1 / 2

Now,

For the y-intercept.

Take any point.

(4, 3) = (x, y)

y = mx + c

3 = (-1/2)4 + c

3 = -2 + c

3 + 2 = c

c = 5

Now,

m = (-1/2) = -0.5

c = 5

The equation of the line is y = -0.5x + 5

Thus,

The equation of the line is y = -0.5x + 5

Option C is the correct option.

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The correct option is D, the value of the missing side x is 5.

If the two prism are similar, then there is a scale factor that when multiplied by the dimensions of the blue prism, we get the dimensions of the green one.

If that scale is k, then we can write:

3k = 15

Solving for k:

k = 15/3

k = 5

Now, the correspondent side to the one that measures x, has a measure of 1 unit (in the blue prism), then the value of x is:

1*k = x

1*5 = x

5 = x

The correct option is D.

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Answer:

The value of x is 72 degrees

Step-by-step explanation:

Answer:

she started with 32 apples and ended with 28

there were 8 apples in each bag but after she ate one from each bag, there are only 7 apples in each bag

Step-by-step explanation:

Answer:

2.82

Step-by-step explanation:

I tried my best so im sorry if it isnt correct

x4-5x2-24=0

(x2+3) (x2-8)=0

x2 +3=0

x= 2.82

Answer:

63.97 sheets of paper

Step-by-step explanation:

40-18.25 = 21.75

21.75 divided by 0.35 = 63.97

Answer:

It's still gonna equal 28

Answer:

B. 5k + 11l

Step-by-step explanation:

Add similar terms:

3k + 2k = 5k

5l + 6l = 11l

Therefore:

3k + 5l+ 6l + 2k = 5k + 11l

Answer:

10

Step-by-step explanation:

Answer:

8

Step-by-step explanation:

Answer:

625

Step-by-step explanation: 5^6/5^2

multiply 5^6 and than devide your answer with 5^2

Answer:

625

Step-by-step explanation:

5^6=15625

5^2=25

15625/25=625