Real world applications for 1 and 2-step equations

The z score of a student who scores a 92 on the final exam is 2.67.

Z score is used to determine by how many standard deviations the raw score is above or below the mean. It is given by:

z = (x - μ) / σ

where x is the raw score, μ is the mean and σ is the standard deviation

Given that σ = 6, μ = 76. For a raw score of 92:

z = (92 - 76) / 6 = 2.67

The z score of a student who scores a 92 on the final exam is 2.67.

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Answer:

D. [tex]\frac{45a^{16}c^{34}}{b^{27}}[/tex]

Step-by-step explanation:

Here you are...

Hope this helps! Brainliest would be much appreciated! Have a great day! :)

Answer:

  14. ∠UVS = 63.6°

  15. ∠TWU = 90°

  16. ∠TUV = 116.4°

  17. UW = √111 ≈ 10.5

  18. SU = 2√111 ≈ 21.1

  19. VT = 34

Step-by-step explanation:

The relevant relations for a rhombus are ...

__

Angle UVS is double the measure of angle UVW. 2×31.8° = 63.6°.

  angle UVS = 63.6°

__

As we said above, the angles where the diagonals cross are right angles.

  angle TWU = 90°

__

Angle TUV is supplementary to angle UVS. 180° -63.6° = 116.4°

  angle TUV = 116.4°

__

UW is found using the Pythagorean theorem.

  UW² +TW² = TU²

  UW² = TU² -TW² = 20² -17² = 111

  UW = √111 ≈ 10.536

__

The whole diagonal is twice the measure of half of it. SU = 2×UW

  SU = 2√111 ≈ 20.071

__

The whole diagonal is twice the measure of half of it. 2×17 = 34

  VT = 34

Answer:

m=−2/3 or m=−4/3

Step-by-step explanation:

Step 1: Subtract -3m^2+9 from both sides.

6m^2+18m+17−(−3m^2+9)=−3m^2+9−(−3m^2+9)

9m^2+18m+8=0

Step 2: Factor left side of the equation.

(3m+2)(3m+4)=0

Step 3: Set factors equal to 0.

3m+2=0 or 3m+4=0

m=−2/3 or m=−4/3

Answer:

The answer is Tennesse

Step-by-step explanation:

because it raises the prices by $45.50

[tex]\\ \rm\hookrightarrow Avg\: Speed=\dfrac{Total\: distance}{Time}[/tex]

[tex]\\ \rm\hookrightarrow Avg\:Speed=\dfrac{1500}{5}[/tex]

[tex]\\ \rm\hookrightarrow Avg\:Speed=500mph[/tex]

Step-by-step explanation:

150/50=50

So 50mph is average speed

Speed=Distance/Time

Answer:

4 Years

Step-by-step explanation:

1:0.5 = 2:1

So, every two years, the birch tree grows 1 foot more than the larch tree

Currently, they are 2 feet apart, so in 4 years, they will be the same height

Answer:

13-8<3rd<13+8 so

5<3rd<21

Step-by-step explanation:

The theorem of Angles-Sides Inequalities.

I got this question too in RSM

Answer: 5 and 21

Step-by-step explanation: look below

Answer:

[tex] \frac{x - 3}{x} [/tex]

Step-by-step explanation:

[tex]f(x) = \frac{1}{x} \: \: g(x) = x - 3 \\ \\ \implies \: (f•g)(x) = \frac{1}{x} (x - 3) \\ \\ = \frac{x - 3}{x} [/tex]

Answer:

90

Step-by-step explanation:

Firstly, you divide 108 by 6, since 108 can't be divided by 5, and 108 divided by 6 gives you 18. Then you multiply 18 by 5, which gives you 90. Boom.

Answer: the answer is 90

Step-by-step explanation:

Probabilities are used to determine the chances of events

The probability that a teacher is a woman or teaches math is 45.24%

The given parameters are:

Teachers = 84

Math teachers = 12

Female teachers = 32

Female math teachers = 6

The number of female or math teachers is:

Female or math = Math + Female - Female math

So, we have:

Female or math = 12 + 32 - 6

Female or math = 38

The probability that a teacher is a woman or teaches math is:

[tex]Pr = \frac{38}{84}[/tex]

Simplify

[tex]Pr = \frac{19}{42}[/tex]

Express as percentage

[tex]Pr = 45.24\%[/tex]

Hence, the probability that a teacher is a woman or teaches math is 45.24%

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Answer:

Find The InterestRs1000 rateRs10%isRs1200

Answer:

5 hours

Step-by-step explanation:

assuming she works consecutively on these problems. if it takes 9 problems for 1 hour, and there are 45 problems, all that's needed to be done is 45/9, which is 5

Answer:

3 13/24

Step-by-step explanation:

hope this helps you!

let's firstly convert the mixed fractions to improper fractions and then subtract.

[tex]\stackrel{mixed}{7\frac{1}{6}}\implies \cfrac{7\cdot 6+1}{6}\implies \stackrel{improper}{\cfrac{43}{6}} ~\hfill \stackrel{mixed}{3\frac{5}{8}}\implies \cfrac{3\cdot 8+5}{8}\implies \stackrel{improper}{\cfrac{29}{8}} \\\\[-0.35em] ~\dotfill\\\\ \cfrac{43}{6}~~ - ~~\cfrac{29}{8}\implies \cfrac{(4)43~~ - ~~(3)29}{\underset{\textit{using this LCD}}{24}}\implies \cfrac{172~~ - ~~87}{24}\implies \cfrac{85}{24}\implies 3\frac{13}{24}[/tex]

Answer:

0.45

Step-by-step explanation:

[tex]\huge\textbf{Hey there!}[/tex]

[tex]\mathsf{\dfrac{12}{25}\times\dfrac{15}{16}}[/tex]

[tex]\mathsf{= \dfrac{12\times15}{25\times16}}[/tex]

[tex]\mathsf{= \dfrac{180}{400}}[/tex]

[tex]\mathsf{= \dfrac{180\div5}{400\div5}}[/tex]

[tex]\mathsf{= \dfrac{36}{80}}[/tex]

[tex]\mathsf{= \dfrac{36\div4}{80\div4}}[/tex]

[tex]\mathsf{= \dfrac{9}{20}}[/tex]

[tex]\huge\textbf{Therefore, your answer is: \boxed{\mathsf{\dfrac{9}{20}}}}\huge\checkmark[/tex]

[tex]\huge\textbf{Good luck on your assignment \& enjoy}\\\huge\textbf{your day!}[/tex]

Answer:

ok so we trying to find out how many each batted so lets make this a system of equation

first we now that combined they are 232 so

a+b=232

then we now that b is 18 less then a so

a-18=b

the system of equation is

a+b=232

a-18=b

so we now what b is so we can just plug that in

a+a-18=232

2a-18=232

2a=250

a=125

then we can just plug this back in

125+b=232

b=107

a=125

b=107

Hope This Helps!!!

Step-by-step explanation:

sorry bro, ìdk dis answer

G.O.O.G.L.E IT....MAYBE YOU WILL FIND THE ANSWER...

Answer:

Simplify the expression.

answer :

392.66

Step-by-step explanation:

Answer:

392.66

Step-by-step explanation:

Our equation at first is (6.82x105) - (3.11x104)

We first multiply 6.82 and 105 and we get 716.1

Now our equation is 716.1 - (3.11x104)

Now we multiply 3.11 and 104 and we get 323.44

We now subtract 716.1-323.44 and we get our final answer of…

392.66!

Please award brainliest if possible!

Answer:

A

Step-by-step explanation:

Hello!

The answer is attached with explanation. Please note me if you have any more questions.

Answer:

Letter A.

[tex] {f}^{ - 1} (x) = \frac{ x + 8}{9} [/tex]

Answer:

A. 19g+54

let me know if this helps :3

Step-by-step explanation:

Inequality for X.......:)

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

Work Shown:

i = P*r*t

100 = 200*0.10*t

100 = 20t

20t = 100

t = 100/20

t = 5

Answer:

Dogs: 14,300 people

Snakes: 3,900 people

Answer:

5. x = 39°

6. x = 46°

7. x = 24°

8. x = 19°

Step-by-step explanation:

5.

Base angles are the same due to it being an isosceles triangle

Sum of angles in triangle = 180°

6.

Angle VZW and XZW are supplementary, meaning that they add up to 180°

7.

Sum of angles in a straight line add up to 180°

8.

All angles add up to 90°

-Chetan K

Answer:

They built 2.4 kilometers each day

Step-by-step explanation:

8 divided by 3 1/2

Answer:

29 - 6 = x

x = 23

The backpack without the sleeping bag weighs 23 pounds

Step-by-step explanation:

Sleeping bag = 6 lbs

Backpack and sleeping bag = 29

Answer:

data set 1 - y=x*3.5 data set 2 - y=x*3

Step-by-step explanation:

=======

The computer will cost $924.96 after 6% tax.

The initial payment of the laptop made = $150.00

The remaining balance that would be made = 12 × 69.50

=$834

Therefore total cost of laptop before tax = 834 + 150

= $984

But tax is 6% of total cost =

[tex] \frac{6}{100} \times 984[/tex]

[tex] \frac{5904}{100} [/tex]

= $59.04

Therefore, total cost of laptop after tax = 984 - 59.04

= $924.96

Learn more about costs of products here:

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Answer: B

Step-by-step explanation:

Substitute x = -3 into the equation.

y is equal to 3^-3 = 1/27

So the answer is B