Note: Angles not necessarily drawn to scale​

Answer:

0.460

Step-by-step explanation:

We solve using z score formula

z = (x-μ)/σ, where

x is the raw score = 129 calls

μ is the population mean = 130 calls

σ is the population standard deviation = 10 calls

Hence:

Z score = x - μ/σ

=129 - 130/10

=-0.1

Probability value from Z-Table:

For x less than 129 calls = x < 129

P(x<129) = 0.46017

Approximately to the nearest thousandth = 0.460

Therefore, the probability that during a given hour of the day there will be less than 129 calls, to the nearest thousandths is 0.460

Answer:

16 hours

Step-by-step explanation:

120/4 = 30 miles per hour

480/30 = 16 hours

Answer: 42

Step-by-step explanation:

Given

An Umbrella manufacturer has [tex]1584\ \text{Umbrellas}[/tex]

One case will hold [tex]38[/tex] Umbrellas

Number of cases required to hold all the Umbrellas are

[tex]\Rightarrow n=\dfrac{1584}{38}\\\\\Rightarrow n=41.68\approx 42[/tex]

Thus, 42 packs are required to hold all the Umbrellas

Answer: D) The sum of a number and twelve

==================================================

Explanation:

r = an unknown number

r+12 = sum of the unknown number and 12

The term "sum" refers specifically to the result of an addition problem.

As another example, saying 2+3 = 5 has a sum of 5.

Answer:2.55 in fraction form is 51/20.

Step-by-step explanation:

Answer:

13.80 there you go buddy

9514 1404 393

Answer:

  C.  205.3 units²

Step-by-step explanation:

The volume of the figure is the sum of the volumes of ...

  1/2 sphere of radius 2

  cylinder of radius 2 and length 12

  cone of radius 2 and length 9

The formulas for the volumes of a sphere, cylinder, and cone are ...

  V = 4/3πr³ . . . sphere

  V = πr²h . . . . cylinder

  V = 1/3πr²h . . . cone

Then the sum of the volumes is ...

  1/2 sphere + cylinder + cone = (1/2)4/3πr³ +πr²h +1/3πr²h'

     where h is the cylinder height and h' is the cone height

  = πr²(2/3r + h + 1/3h')

  = π(2²)(2/3·2 +12 +1/3·9) = π(4)(16 1/3) = π(65 1/3) ≈ 205.2507

The volume of the figure is about 205.3 units³.

Answer:

Hi there, the correct answer should be...

The mean age of the children is 5.

Step-by-step explanation:

mean:average

1 + 5 + 4 + 8 + 2 + 5 + 10 = 35

35 ÷ 7 = 5

Hey there!

“Factor completely 2n + 13n + 15”

2n + 13n + 15

COMBINE your LIKE TERMS

(2n + 13n) + (15)

2n + 13n = 15n

15 = 15

Answer: 15n + 15

Good luck on your assignment and enjoy your day!

~Amphitrite1040:)

Answer:

15(n + 1)

Step-by-step explanation:

Given

2n + 13n + 15 ← collect like terms

= 15n + 15 ← factor out 15 from each term

= 15(n + 1) ← in factored form

Answer:

La longitud total de ambas calles es [tex]3\frac{23}{20}[/tex]

Step-by-step explanation:

Dos calles tienen las siguientes longitudes: [tex]2\frac{2}{5}[/tex] y [tex]1\frac{3}{4}[/tex] de kilometro. Para calcular la longitud total de ambas calles debes sumar ambas longitudes:

[tex]2\frac{2}{5}+1\frac{3}{4}[/tex]

Para sumar fracciones mixtas, en primer lugar sumas la parte entera:

2+1= 3

Luego se deben sumar las fracciones. Para ello, es necesario encontrar el común denominador. En este caso el común denominador entre 5 y 4 es 20.

Ahora debemos amplificar las fracciones al común denominador. Esto es, se divide por el denominador de cada fracción y el resultado se multiplica por el numerador de la fracción:

[tex]\frac{2}{5}+\frac{3}{4}=\frac{8+15}{20} =\frac{23}{20}[/tex]

Entonces el resultado de la suma es:

[tex]3\frac{23}{20}[/tex]

La longitud total de ambas calles es [tex]3\frac{23}{20}[/tex]

Answer:

x=9

Step-by-step explanation:

x = 3^2

x = 3*3

x=9

Answer:

Number of elements in set = n(B) = 3 . Therefore, Number of elements in power set = 2^n(B) = 2^3 = 8 . Hope helped!

Step-by-step explanation:

Answer:

Oki, mizuki here to help!

Hi there user, looks like you need help!

Anyways, option B is the correct answer!

Step-by-step explanation:

How to find average speed: distance/time

Since the graph shows 480 meters in 6 seconds, option B should be the correct answer!

Hope this helped!

Step-by-step explanation:

we know that

Speed = Distance/ Time

so the correct answer is B

Answer:

There are 2 bottle of 1 pint and 1 bottle of 1 cup.

Step-by-step explanation:

Okay, so first let's look at the conversion factors of these units:

   1 quart=2 pints & 1 quart= 4 cups.

Alright well, we already have 1.75 out of 3 quarts of the strawberry puree so all

we need left is 1.25 quarts left. So since 1 pint= .5 quarts and 1 cup=.25 quarts

we need to buy 2 pints and 1 cup to give us our three quarts.

 Hence, there are 2 bottle of 1 pint and 1 bottle of 1 cup.

Hope this answer helps you :)

Have a great day

Mark brainliest

Answer:

12√3

Step-by-step explanation:

sin 60° = 18/h

h = 18/sin 60°

h = 12√3

Answer:

The height of the second cylinder is 30mm

Step-by-step explanation:

Given

Cylinder 1:

[tex]R = 15mm[/tex]

[tex]H = 45mm[/tex]

Cylinder 2

[tex]r = 10mm[/tex]

See attachment

Required

Determine h, the height of the small one

To do this, we make use of the following equivalent ratios;

[tex]R : H = r : h[/tex]

This gives:

[tex]15 : 45 = 10 : h[/tex]

Express as fraction

[tex]\frac{15 }{ 45 }= \frac{10 }{ h}[/tex]

Simplify

[tex]\frac{1 }{ 3}= \frac{10 }{ h}[/tex]

Cross multiply

[tex]h *1 = 3 * 10[/tex]

[tex]h = 30[/tex]

Answer:

[tex]\frac{1}{24}[/tex]

Step-by-step explanation:

24 is a common multiple so ill just use that as a denominator:

3/8 = 9/24

1/3 = 8/24

1/4 = 6/24

so then adding those up:

[tex]\frac{9}{24}[/tex] + [tex]\frac{8}{24}[/tex] + [tex]\frac{6}{24}[/tex] = [tex]\frac{23}{24}[/tex]

then whats left is 1/24 left to read, which cant be simplified so [tex]\frac{1}{24}[/tex]

Answer:

   [tex]\frac{1}{24}[/tex]

Step-by-step explanation:

Let x be the part of the book he read on fourth day.

[tex]\frac{3}{8} + \frac{1}{3} + \frac{1}{4} + x = 1[/tex]

[tex]LCM \ of \ 8, 3 , 4 = 24.\ Therefore , \\\\[/tex]

[tex]\frac{3}{8} + \frac{1}{3} + \frac{1}{4} + x = 1\\\\\frac{9 + 8 + 6 + 24x}{24} = 1\\\\23 + 24x = 24\\24x = 1\\x = \frac{1}{24}[/tex]

[tex]On\ the\ fourth\ day\ he\ read\ \frac{1}{24} \ of\ the\ book\ to\ finish\ it.[/tex]

Answer:

10

Step-by-step explanation:

[tex]7 \frac{1}{2} \div \frac{3}{4} \\ [/tex]

[tex] \frac{15}{2} \div \frac{3}{4} \\ [/tex]

[tex] \frac{15}{2} \times \frac{4}{3} \\ [/tex]

[tex] \frac{60}{6} = 10 \\ [/tex]

Given:

The diameter of a circle = 20 feet

To find:

The exact circumference of the circle.

Solution:

We know that the radius is half of the diameter of the circle.

The diameter of a circle is 20 feet. So, the radius of the circle is 10 feet.

The circumference of the circle is:

[tex]C=2\pi r[/tex]

Where, r is the radius.

Substituting [tex]\pi = 3.14, r=10[/tex], we get

[tex]C=2(3.14)(10)[/tex]

[tex]C=(6.28)(10)[/tex]

[tex]C=62.8[/tex]

Therefore, the exact circumference of the circle is 62.8 feet.

Note: All options are incorrect.

Answer:

H0: p= 0.39   vs    Ha: p ≠ 0.39

Step-by-step explanation:

She wants to test whether this holds true for teachers in her state.

The test is the formulated into the hypotheses.

The null hypothesis would be

H0: p= 0.39   against the claim    Ha: p ≠ 0.39

The null hypothesis tells that the the proportion of teachers in her state that are members of a union is equal to the proportion of teachers in the US that are members of the labor union.

against the claim

That the the proportion of teachers in her state that are members of a union is  not equal to the proportion of teachers in the US that are members of the labor union.

Answer:

The graph on the right. y= 5, 6, 7, 8

Answer:

x = 53°, y = 42°

Step-by-step explanation:

The sum of the 3 angles in a triangle = 180°

Subtract the sum of the 2 given angles from 180° for x

x = 180° - (37 + 90)° = 180° - 127° = 53°

48° + y = 90° ( subtract 48° from both sides )

y = 42°

Answer:

Step-by-step explanation:

equation of a line

y=mx+b

y=0*x+b

y=0+b

y-0=b

since the line passes through the point (-7,4) it satisfies the equation

4-0=b

4=b

substituting the value of b in

y-0=b

y-0=4 is the required equation.

adius is 30.1 astronomical units (AU). assuming neptunes orbit is circular, ... The distance it travels in a single orbit around the sun is ... Its orbital radius is 30.130.130, point, 1 astronomical units (\text{AU})(AU)left parenthesis, start text, A, U, end text, right parenthesis.

Answer:

60.20 pi

Step-by-step explanation:

to find curicumfrance with raidus all u have to do is multiply 30.1 ( the radius ) by 2 to get the curicumfrance

30.1*2 = 60.20

then u would multifply 60.20 by 3.14 ( pi) but in this case we can just put the pi

so the answer is 60.20 pi

-Hope this helps

plz mark brainlyest, rate and thank me

Answer:

Step-by-step explanation: I don't

Answer:

yes

Step-by-step explanation:

I do

Answer:

$66.00

Step-by-step explanation:

first we need multiply :D I will use the formula I =prt

principal= $500

rate=3.3%

time= 4 years

but we need to convert the percent, 3.3%, to a decimal

3.3%=0.033 or .033

now we multiply !

500 × 0.033 × 4 = 66 = $66.00

Answer: The price of each small box is $4.8  and the price of each large box is $10.8.

Step-by-step explanation:

Let x = Price of each small box, y= price of each large box.

As per given,

3x+2y= 36  ...(i)

4x+y= 30  ...(ii)

Multiplying 2 to (ii), we get

8x+2y =60...(iii)

Subtract (i) from (iii), we get

5x= 24

x= 4.8

From (ii)

4(4.8)+y= 30

19.2+y=30

y= 10.8

Hence, the price of each small box is $4.8  and the price of each large box is $10.8.

Answer: f(x)=x^(2)+14x+40