I need the answer for the screenshot

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.

Find out more on Z score at: https://brainly.com/question/25638875

Step-by-step explanation:

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Answer:

Find The InterestRs1000 rateRs10%isRs1200

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:

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%

Read more about probability at:

https://brainly.com/question/25870256

[tex]h=3+30t-5t^2\implies 13=3+30t-5t^2\implies 0=-10+30t-5t^2 \\\\\\ 5t^2-30t+10=0\implies 5(t^2-6t+2)=0\implies t^2-6t+2=0[/tex]

now, it doesn't give us nice looking integers, so let's plug that into the quadratic formula.

[tex]~~~~~~~~~~~~\textit{quadratic formula} \\\\ \stackrel{\stackrel{a}{\downarrow }}{1}t^2\stackrel{\stackrel{b}{\downarrow }}{-6}t\stackrel{\stackrel{c}{\downarrow }}{+2}=0 ~\hspace{10em} t= \cfrac{ - b \pm \sqrt { b^2 -4 a c}}{2 a} \\\\\\ t= \cfrac{ - (-6) \pm \sqrt { (-6)^2 -4(1)(2)}}{2(1)}\implies t=\cfrac{6\pm\sqrt{36-8}}{2}[/tex]

[tex]t=\cfrac{6\pm\sqrt{28}}{2}\implies t=\cfrac{6\pm\sqrt{2^2\cdot 7}}{2}\implies t=\cfrac{6\pm 2\sqrt{7}}{2}\implies t=\cfrac{2(3\pm 1\sqrt{7})}{2} \\\\\\ t=3\pm \sqrt{7}\implies t= \begin{cases} 3+\sqrt{7}\\ 3-\sqrt{7} \end{cases}\implies t\approx \begin{cases} 5.65\\ 0.35 \end{cases}[/tex]

Answer:

277/8  =34.625

Step-by-step explanation:

Answer:

45

Step-by-step explanation:

30/2=15 +30=45

Answer:

The Jacobson Animal Shelter has 45 total animals.

Step-by-step explanation:

dogs = 30

cats = 30/2

cats = 15

dogs + cats = total

30 + 15 = total

45 = total

[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:

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! :)

$378 is 72% of the original price.

72% = $378

1% = $378/72

1% = $5.25

100% = $5.25(100)

100% = $525

The original price of the sofa is $525

Hope this helps!

Answer:

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

Step-by-step explanation:

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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:

A. 19g+54

let me know if this helps :3

Step-by-step explanation:

Answer:

69f

Step-by-step explanation:

a = amount deposited at 3.5%

b = amount deposited at 4.5%

we know that "b" is twice as much as "a", thus b = 2a.

[tex]\begin{array}{|c|ll} \cline{1-1} \textit{a\% of b}\\ \cline{1-1} \\ \left( \cfrac{a}{100} \right)\cdot b \\\\ \cline{1-1} \end{array}~\hspace{5em}\stackrel{\textit{3.5\% of a}}{\left( \cfrac{3.5}{100} \right)a}\implies 0.035a \\\\[-0.35em] ~\dotfill\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{a\% of b}\\ \cline{1-1} \\ \left( \cfrac{a}{100} \right)\cdot b \\\\ \cline{1-1} \end{array}~\hspace{5em}\stackrel{\textit{4.5\% of 2a}}{\left( \cfrac{4.5}{100} \right)2a}\implies 0.045(2a)[/tex]

we also know that whatever "a" amount is, their sum is 2250, thus

[tex]0.035a+0.045(2a) = 2250\implies 0.035a+0.09a=2250\implies 0.125a=2250 \\\\\\ a=\cfrac{2250}{0.125}\implies \boxed{a=18000}~\hspace{10em}\boxed{\stackrel{2a}{b=36000}}[/tex]

Answer:

74

Step-by-step explanation:

What I'm getting at, is that you need to add all the hour sold cups up, and then double it because she expects to sell twice as much. 15 + 11 +5 +6 = 37, and 37 doubled is 74

Answer:

74 cups

Step-by-step explanation:

Total for today: 37

6 + 5 + 11 + 15 = 37

Tomorrow is twice of today

2(37) = 74

I hope this helps!

Answer:

16 hours

Step-by-step explanation:

Let the mechanic works for x hours to make a money of $350.

Fixed charges = $30

Charges per hour = $20

So, charges for x hours = $20x

Total money earned = $350

[tex] \implies \: 20x + 30 = 350 \\ \\ \implies \: 20x = 350 - 30 \\ \\ \implies \: 20x = 320 \\ \\ \implies \: x = \frac{320}{20} \\ \\ \implies \: x = 16 \: hours[/tex]

Thus, the mechanic needs to work for 16 hours to make $350.

Answer:

[tex]cos (30) =\sqrt{\frac{3}{2} } =0.8660[/tex]

Step-by-step explanation:

By using the cos square identity in trigonometry i.e., cos2ϴ = 1 – sin2 ϴ, we can evaluate the exact value of cos(33 ). For calculating the exact value of cos(∏/6), we have to substitute the value of sin(30°) in the same formula.

cos(30°) = √1 – sin230°

The value of sin30° is 1/2 (Trigonometric Ratios)

cos(30°) = √1 – (1/2)2

cos(30°) = √1 – (1/4)

cos(30°) = √(1 * 4 – 1)/4

cos(30°) = √(4 – 1)/4

cos(30°) = √3/4

Therefore, cos(30°) = √3/2

Step-by-step explanation:

cos 30° is √3 /2

Also refer to the image attached

Answer:

9/2

Step-by-step explanation:

0.45 = 45/100 = 9/20.

Answer:

[tex]\frac{9}{20}[/tex]

Step-by-step explanation:

Convert to fraction:

[tex]0.45[/tex]

Convert decimal to fraction:

[tex]\frac{45}{100}[/tex]

Reduce the fraction:

[tex]\frac{9}{20}[/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:

during section b

Step-by-step explanation:

the line is flat

Answer:

Yes beavause the graph goes up and then straight down

Step-by-step explanation:

can you answer my question?

Answer:

Dogs: 14,300 people

Snakes: 3,900 people

Answer:

The diffrence is 37 degrees

Step-by-step explanation:

30-(-7)=37  

Answer:

$9.93

Step-by-step explanation:

sorry if it doesn't help.