3.4 0.8 0.6 find the volume of the rectangular prism in cubic feet ​

Answer:

0.0918 = 9.18% probability that the battery life is at least 8.1 hours.

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Mean 7.5 hours

This means that [tex]\mu = 7.5[/tex]

Standard deviation 27 minutes.

An hour has 60 minutes, which means that [tex]\sigma = \frac{27}{60} = 0.45[/tex]

What is the probability that the battery life is at least 8.1 hours?

This is 1 subtracted by the p-value of Z when X = 8.1. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{8.1 - 7.5}{0.45}[/tex]

[tex]Z = 1.33[/tex]

[tex]Z = 1.33[/tex] has a p-value of 0.9082.

1 - 0.9082 = 0.0918

0.0918 = 9.18% probability that the battery life is at least 8.1 hours.

[tex]\sf \bf {\boxed {\mathbb {TO\:FIND:}}}[/tex]

The value of [tex]x°[/tex].

[tex]\sf \bf {\boxed {\mathbb {SOLUTION :}}}[/tex]

[tex]\longrightarrow{\blue{ x°\:=\:35° }}[/tex] 

[tex]\sf \bf {\boxed {\mathbb {STEP-BY-STEP\:EXPLANATION:}}}[/tex]

We know that,

[tex]\sf\pink{Sum\:of\:angles\:of\:a\:triangle\:=\:180°}[/tex]

➪ [tex]x°[/tex] + 125° + 20° = 180°

➪ [tex]x°[/tex] + 145° = 180°

➪ [tex]x°[/tex] = 180° - 145°

➪ [tex]x°[/tex] = 35°

Therefore, the value of [tex]x°[/tex] is 35°.

Now, the three angles of the triangle are 35°, 125° and 20°.

[tex]\sf \bf {\boxed {\mathbb {TO\:VERIFY:}}}[/tex]

✒ 35° + 125° + 20° = 180°

✒ 180° = 180°

✒ L. H. S. = R. H. S.

Hence verified.

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

Answer:

A (0,3) (-3,-3)

Step-by-step explanation:

A graph will match the equation if both the coordinates points replaced in the equation generate a identity.

When x = -3

[tex]y + 3 = 2(x + 3)[/tex]

[tex]y + 3 = 2(-3 + 3)[/tex]

[tex]y + 3 = 0[/tex]

[tex]y = -3[/tex]

So (-3,-3) is part of the graph.

When x = 0

[tex]y + 3 = 2(x + 3)[/tex]

[tex]y + 3 = 2(0 + 3)[/tex]

[tex]y + 3 = 6[/tex]

[tex]y = 3[/tex]

So (0,3) is part of the solution.

(-3,-3) and (0,3), so option A.

Answer:

y=33 degree

Step-by-step explanation:

y = 33 degree (the relation between y and 33 is they are vertically opposite angles anf verticelly opposite angles are always equal)

Answer:

I dont know

Step-by-step explanation:

Answer:

Maybe. But look at me, I have two F's and all D's in the last quarter when I had A's a B's and one C for the 1st, 2nd, and 3rd quarter. I am going to get kicked out if I have ONE F. Yay.... :,)

Step-by-step explanation:

Answer:

x = 93

Step-by-step explanation:

*for angle labels, see picture below

Using angle addition postulate, we can say that angle EAC is the sum of angle CAB and angle BAE:

m<EAC = m<CAB + m<BAE

m<EAC = x + 39

Since line l and m are parallel, you can say that angle ACD is an alternate interior angle to angle EAC. This means they are equal.

Now, we can write an equation to solve for x:

m<EAC = m<ACD

x + 39 = 132

x = 93

Answer:

x=93°

Step-by-step explanation:

If l ıı m

l=180° ; 132°+?(y) =180° (Co-interior angle)

Find the value of y

132°+y=180°(Transpose)

y=180°-132°

y=48°

...

Find x

39°+x+48°=180°(Transpose)

x=180°-48°-39°

x=93°

Answer:

Step-by-step explanation:

let one angle=a°

second angle=(90-a)°

tan a=7/10=0.7

a=tan^{-1}(0.7)≈35.0°

other angle=90-35=55.0°

Answer:

[tex] = \binom{4}{8} . \binom{6}{ - 3} \\ = (4 \times 6) + (8 \times - 3) \\ 24 + ( - 24) \\ = 0 \\ since \: inner \: product \: is \: zero : \\ the \: vectors \: are \: perpendicular[/tex]

Answer:

0

The vectors are perpendicular

Step-by-step explanation:

(4,8) (6,-3)

The inner product is also known as the dot product

4*6 + 8*-3 = 24-24 = 0

The  vectors are perpendicular since the dot product is zero

Hope this help!!!

Have a great day!!!

Answer:

4x+8

Step-by-step explanation:

X + 3( x + 2) + 2

Distribute

x +3x+6+2

Combine like terms

4x+8

Hi there!  

»»————-　★　————-««

I believe your answer is:  

[tex]4x + 8[/tex]

»»————-　★　————-««  

Here’s why:

⸻⸻⸻⸻

[tex]\boxed{\text{Simplifying the expression:}}\\\\\underline{x+3(x+2)+2}\\\\\rightarrow x + 3x + 6 + 2\\\\\rightarrow 4x + 6 + 2\\\\\rightarrow \boxed{4x + 8}[/tex]

⸻⸻⸻⸻  

»»————-　★　————-««  

Hope this helps you. I apologize if it’s incorrect.  

Answer:

28 minutes

hope this helps

have a good day :)

Step-by-step explanation:

Answer:

so it is 28 minutes

Step-by-step explanation:

Answer:

336

Step-by-step explanation:

A total of 512 possible words can be made.

A mathematical expression is made up of terms (constants and variables) separated by mathematical operators. A mathematical equation is used to equate two expressions. Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.

We have a 8 letters word "FGHIJKLM"

Assume that there are [y] possible combinations. Then, the total number of [x] digit words that can be made are -

y = 8ˣ

y = 8ˣ

y = 8 x 8 x 8

y = 512

Therefore, a total of 512 possible words can be made.

To solve more questions on Equations, Equation Modelling and Expressions visit the link below -

brainly.com/question/14441381

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Answer:

I can't really see I wish I can help

Answer:

thousands

Step-by-step explanation:

56437

tents hundreds thousands

Answer:

there is no table appearing so unfortunately no one can answer this for you. sorry!!

Answer:

The cubic centimeters of water it will take to fill the bowl is 718.67 cm³

Step-by-step explanation:

Given;

diameter of the hemisphere, d = 14 cm

radius of the hemisphere, r = d/2 = 14/2  = 7 cm

The volume of the hemisphere is calculated as;

[tex]V = \frac{2}{3} \pi r^3\\\\V = \frac{2}{3} \times \frac{22}{7} \times (7 \ cm)^3\\\\V = 718.67 \ cm^3[/tex]

The cubic centimeters of water it will take to fill the bowl is 718.67 cm³

Answer:

128659.6037

Step-by-step explanation:

contiously compounding interest formula:

PV(e^(i*t))

100000e^(.021*12)=128659.6037

The solution of the logarithmic function log₂₇165  found using logarithmic properties is :

(1 + log ₃55)/3.

What is a logarithmic function?

The logarithm is exponentiation's opposite function in mathematics. This indicates that the exponent to which b must be raised in order to obtain a number x is the logarithm of x to the base b. The usage of logarithmic functions makes it simple to determine some of the non-integral exponent values. The common logarithmic function, which has a base of 10, is identified by the symbols log₁₀ or log.

We are asked to solve the following logarithmic function.

 log₂₇165

Here the base of the log is 27.

According to logarithmic properties, we can write the above functions as:

 log₂₇165  = log 165 /  log 27

If we are dividing the numerator and denominator by log 3, then the new base will become 3.

(log 165 / log 3) / (log 27/log3) = log ₃165 / log₃ 27

Now we can solve as follows,

log ₃165 / log₃ 27 = log ₃(3*55) / log₃ (3³) = [log ₃(3)+log ₃(55)] / 3log₃3

                                          = (1 + log ₃55)/3

Therefore the solution of the logarithmic function log₂₇165  is

(1 + log ₃55)/3.

To learn more about logarithmic functions, follow the link.

https://brainly.com/question/13473114

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Answer:

27%

Step-by-step explanation:

divide 6 by 22. you get .27 and then you move the decimal point to the right twice

Answer:

27%

Step-by-step explanation:

six divided by twenty two is 0.272, which is 27%

Answer:

6/8

hope this helps

have a good day :)

Step-by-step explanation:

Answer:

it should be 314.16, so I would choose 314

Answer:

D

Step-by-step explanation:

it would be d because that's where the 3 is in the y axis

Answer:

A

Step-by-step explanation:

Graph A shows the parabola intersecting the x-axis at 1 and 3. Which are the solutions to the equation when you solve it by factoring, using the quadratic formula, the PQ formula, or completing the square.

Step-by-step explanation:

It's an intercept graph

Answer:

mEOP is 29°

Step-by-step explanation:

mHOP is 48° and mHOE is 19°, so to get the missing angle you subtract the smaller value from the total to get 29°

- 19-48=29

Answer:

The predicted final exam grade is 83

Step-by-step explanation:

Given

[tex]\bar x = 75[/tex] -- midterm mean

[tex]\sigma_x = 10[/tex] --- midterm standard deviation

[tex]\mu =75[/tex] --- final mean

[tex]\sigma = 10[/tex] --- final standard deviation

[tex]r = 0.8[/tex]

Required

The predicted final grade of student who score 85 in midterm

The prediction is represented as:

[tex]y = \alpha + \beta x[/tex]

Where:

[tex]\beta = r * \frac{\sigma}{\sigma_x}[/tex]

[tex]\beta = 0.8 * \frac{10}{10}[/tex]

[tex]\beta = 0.8 * 1[/tex]

[tex]\beta = 0.8[/tex]

and

[tex]\alpha = \mu - r * \bar x[/tex]

[tex]\alpha = 75- 0.8 * 75[/tex]

[tex]\alpha = 75- 60[/tex]

[tex]\alpha = 15[/tex]

So:

[tex]y = \alpha + \beta x[/tex]

[tex]y = 15 + 0.8x[/tex]

For a student who gets 85, the prediction is:

[tex]y = 15 + 0.8*85[/tex]

[tex]y = 15 + 68[/tex]

[tex]y = 83[/tex]

Answer:

197.34

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Step-by-step explanation:

Step 1: Define

Identify

x = -75.9

y = 2.6

-xy

Step 2: Evaluate

Answer:

You didn't attach an image, can't exactly help. sorry!