The heights of male students are normally distributed with a mean of 158 cm and a

standard deviation of 5 cm.


Find the percentage of male students who are between 145 cm and 170 cm.


Round your

answers to the nearest hundredths.

Answer: 1. equal to - having the requisite qualities for; "equal to the task"; "the work isn't up to the standard I require" adequate to, up to, capable.

Step-by-step explanation:Glad Too Help :))

Answer:

B

Step-by-step explanation:

Answer:

18.9

Step-by-step explanation:

First, lets solve for the fractions. You can divide the fractions from the top, to their bottom (4 divided by 5, 3 divided by 5), in this case, you get 1.4. Now you have to rewrite the problem: 1.4+3.5x5. You solve it, and get 18.9.

Answer:

18.9

Hope that this helps!

Answer:

(0,0) is not a solution to x + y > 5 , but it is a solution for 2x - y < 4

Step-by-step explanation:

Substitute x=0,y=0

0>5 (not possible)

0<4(possible)

Step-by-step explanation:

everything can be found in the picture

Answer:

[tex]\small{\boxed{\tt{2 \sqrt{5} (13 + \sqrt{2} = 26 \sqrt{5} + 2 \sqrt{10} = 64.3}}}[/tex]

Step-by-step explanation:

Given : Expression

[tex]2 \sqrt{5} (13 + \sqrt{2} )[/tex]

To find : Simplify the expression

Solution :

Step 1 - Write the expression

[tex]2 \sqrt{5} (13 + \sqrt{2} )[/tex]

Step 2 - Apply distributive property,

[tex]a(b + c) = a × b + a \times c[/tex]

[tex] = 2 \sqrt{5} \times 13 + 2 \sqrt{5 } \times \sqrt{2} [/tex]

Step 3 - Apply square root property,

[tex] \sqrt{x} \times \sqrt{y} = \sqrt{xy} [/tex]

[tex] = 26 \sqrt{5} + 2 \sqrt{10} [/tex]

or to simplify more substitute the value of [tex] \sqrt{5} = 2.23[/tex] and [tex] \sqrt{10} = 3.16[/tex]

Simplification-

[tex] = 26(2.23) + 2(3.16)[/tex]

[tex]= 57.98 + 6.32[/tex]

Answer:

A) corresponding

Step-by-step explanation:

Answer:

6 gallons

Step-by-step explanation:

There are 4 quarts in gallons, so the dog drinks 2 gallons a day.

When we multiply 2 and 3, we would get 6.

So the dog drinks 6 gallons in 3 days (I don't know about you, but that's a lot of water)

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Have a great summer :)

Answer:

The dog will drink 6 gallons.

Step-by-step explanation:

Every 8 quarts is 2 gallons.

Multiply 2 by 3, you'll get 6.

that's how much gallons a dog drinks in 3 days.

Answer:

It will take the train 1.2375 minutes to pass the tunnel

Step-by-step explanation:

Mathematically, we know that ;

time = distance/ speed

The distance here is the length of the train which is 132 m ; we can convert this to km by dividing by 1000

We have this as 132/1000 = 0.132 km

So, we have the time as;

0.132 km/6.4 km/hr = 0.020625 hr

Mathematically, we know that 60 minutes make an hour;

so we have

0.020625 * 60 = 1.2375 minutes

Answer:

D

Step-by-step explanation:

[tex]A_1 = a^2 = 14^2 = 196[/tex]

[tex]A_2 = 4(\frac{b * h}{2}) = 4(\frac{14 * 12}{2}) = 4(\frac{168}{2}) = 4 * 84 = 336[/tex]

[tex]SA = A_1 + A_2 = 196 + 336 = 532\ cm^2[/tex]

[tex]\longrightarrow{\green{x\:=5.5}}[/tex] 

[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\orange{:}}}}}[/tex]

[tex]2x - 3 = 8 \\ \\⇝2x = 8 + 3 \\ \\⇝2x = 11 \\ \\⇝x = \frac{11}{2} \\ \\⇝x = 5.5[/tex]

[tex]2x - 3 = 8 \\ \\ ➪ \: 2 \times 5.5 - 3 = 8 \\ \\➪ \: 11 - 3 = 8 \\ \\➪ \: 8 = 8 \\ \\ ➪ \: L.H.S.=R. H. S[/tex]

Hence verified. ✔

[tex]\huge{\textbf{\textsf{{\orange{My}}{\blue{st}}{\pink{iq}}{\purple{ue}}{\red{35}}{\green{♡}}}}}[/tex]

Answer:

First, a regular point is written as a coordinate pair (x, y).

If the point lies on the x-axis, then we have y = 0

if the point lies on the y-axis, then x = 0

And x is the abscissa, y is the ordinate.

The points will be graphed at the end.

a)

Ordinate = -5, then y = -5

and it ies on the y-axis, then x = 0

So this point is represented by A = (0, -5)

b)

Lies on the y-axis and in the x-axis, then x = 0 and y = 0, so the point is represented by B = (0, 0)

c)

The abscissa is 3, so x = 3, and the point lies on the x-axis, so y = 0

Then this point is represented by C = (3, 0)

The graph with the 3 points are:

Answer:

The polynomial x3 + 8 is equal to (x + 2)(x2 – 2x + 4)

Step-by-step explain

Step-by-step explanation:

Turn the ratio into a fraction

2in /25 mi

You want to have miles so you can flip the fraction and mutiply to cancel out the inches

(25mi / 2in) x 5in = (25 mi x 5in) / 2in

Answer:

19.1cm

Step-by-step explanation:

AB=20

AC=6

BC=?

So,by Pythagoras Theorem:-

AC2=AB2+BC2

Therefore:-

AB2-AC2=BC2

400-36=BC2

√364=BC2

19.1=BC2

Answer:

19.1 cm

I don't have a picture so I hope this is what you mean/

Step-by-step explanation:

AB²-AC²=BC²

20²-6²=BC²

400-36=BC²

364=BC²

√364=√BC²

BC≈19.1

Answer:

2.37 x 10 ^ -5

Step-by-step explanation:

angle y = 130°

___________________________

Answer:

Total number of arrangements for 5 players = 15,120 arrangements

Step-by-step explanation:

Given:

Number given from 1 to 9

So,

Total number for jerseys = 9

Find:

Total number of arrangements for 5 players

Computation:

Total number of arrangements for 5 players = 9! / [9! - 5!]

Total number of arrangements for 5 players = 9 x 8 x 7 x 6 x 5

Total number of arrangements for 5 players = 15,120 arrangements

Answer:

13680

Step-by-step explanation:

Since we have number from 0 to 39 inclusive, there are 40 number all together.

Now there are 20 odd numbers and 20 even numbers since half of the the numbers are odd and half even.

Now, since we require 3 numbers for our locker combination which are either all even or all odd, the number of ways we can arrange 3 numbers from 20 when the order matters is ²⁰P₃ = 6480 ways for either odd or even numbers. So, for both odd and even numbers, we have the sum of even and odd number of ways ²⁰P₃ + ²⁰P₃ = 2 × ²⁰P₃ = 2 × 6480 = 13680. So, we have 13680 combinations of locks.

Answer:

Slope of the line, m = 4/3

Step-by-step explanation:

Given;

4x - 1 = 3y + 5

Make y the subject

4x - 1 = 3y + 5

4x - 3y = 5 + 1

4x - 3y = 6

-3y = 6 - 4x

Divide both sides by -3

y = (6 - 4x) / -3

y = -2 + 4/3x

Slope intercept form is given by

y = mx + b

Where,

m = slope

y = - 2 + 4/3x

m = 4/3

Slope of the line, m = 4/3

Answer:

Above answer is INCORRECT.

The CORRECT answer is 2/3

Step-by-step explanation:

Answer:

28

Step-by-step explanation:

1/2 x base x height = Area

a = base

b = height

1/2 x 7 x 8 = 28

Answer:

28

Step-by-step explanation:

1/2x 7 x 8

answer is 28

Bye

:-)

Answer:

[tex]33[/tex]

Step-by-step explanation:

[tex]c = 8 [/tex]

Substitute 8 in the equation where c is.

[tex]4(8) + 4 - 3 \\ 32 + 1 \\ = 33[/tex]

Answer:

16%

Step-by-step explanation:

Given

[tex]\begin{array}{cccccc}{Size & {1} & {2} & {3} & {4} & {5} \ \\ {f} & {3} & {4} & {6} & {7} & {5} \ \end{array}[/tex]

Required

The percentage of household with 2 people

First, calculate the total frequency

[tex]Total = 3 + 4 +6+7+5[/tex]

[tex]Total = 25[/tex]

The frequency of household with 2 people is:

[tex]f(2) = 4[/tex]

So, the percentage is calculated as:

[tex]\% =\frac{f(2)}{Total} * 100\%[/tex]

[tex]\% =\frac{4}{25} * 100\%[/tex]

[tex]\% =\frac{400}{25}\%[/tex]

[tex]\% =16\%[/tex]

Answer:

Press box is 460.15 feet high.

Step-by-step explanation:

From the picture attached,

Point A is 400 feet away from the press box.

Angle of elevation of point C is 49°.

By applying tangent rule in the given right triangle,

tan(49°) = [tex]\frac{\text{Opposite side}}{\text{Adjacent side}}[/tex]

tan(49°) = [tex]\frac{BC}{AB}[/tex]

BC = ABtan(49°)

BC = 400[tan(49°)]

BC = 460.15 ft

Therefore, press box is 460.15 feet high.

I need more info

Step-by-step explanation:

I can help If i had more info

Step-by-step explanation:

ps||pr are parallel

pQR=Rsp

Answer: n77 into below

Step-by-step explanation:

N77 value = starting point + (77-1) x (5)

= -3 + (5)x76

U can do the calcs from here yeah?

Answer:

Step-by-step explanation:

Gabriela has  solved incorrectly. 5 should distributed to 9x & (-8) and 4 should be distributed between x & 2

5(9x - 8) = 4*(x + 2)

5*9x - 5*8 = 4*x + 4*2

45x - 40  = 4x + 8

Subtract 4x from both sides

45x - 4x - 40 = 8

       41x - 40 = 8

Add 40 to both sides

41x = 8 + 40

  41x = 48

x = 48/41