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3 years ago

I’m confused on this question. Can anybody help?

Mathematics

2 answers:

miskamm [114]3 years ago

6 0

Answer:

90 degrees

Step-by-step explanation:

Calculate whether an angle is 90 degrees using the Pythagorean Theorem. This well-known theorem is often phrased as "A squared plus B squared equals C squared," which indicates that the sum of the squares of lengths of the adjacent sides of a right triangle is equal to the square of the length of the hypotenuse side.

DENIUS [597]3 years ago

4 0

Answer:

I believe the answer is 90

Step-by-step explanation:

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An English professor assigns letter grades on a test according to the following scheme. A: Top 5% of scores B: Scores below the

tangare [24]

Answer:

Grade D score:

$69 \leq x \leq 74$

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 78.8

Standard Deviation, σ = 7.1

We are given that the distribution of scores on test is a bell shaped distribution that is a normal distribution.

Formula:

$z_{score} = \displaystyle\frac{x-\mu}{\sigma}$

D: Scores below the top 77% and above the bottom 9%

We have to find the value of x such that the probability is 0.77

$P( X > x) = P( z > \displaystyle\frac{x - 78.8}{7.1})=0.77$

$= 1 -P( z \leq \displaystyle\frac{x - 78.8}{7.1})=0.77$

$=P( z \leq \displaystyle\frac{x - 78.8}{7.1})=0.23$

Calculation the value from standard normal z table, we have,

$\displaystyle\frac{x - 78.8}{7.1} =-0.739\\\\x = 73.55$

We have to find the value of x such that the probability is 0.09

$P(X < 0.09) = \\\\P( X < x) = P( z < \displaystyle\frac{x - 78.8}{7.1})=0.09$

Calculation the value from standard normal z table, we have,

$\displaystyle\frac{x - 78.8}{7.1} = -1.341\\\\x = 69.27$

Thus, the numerical value of score to achieve grade D is

$69 \leq x \leq 74$

6 0

3 years ago

Simplify (a^8a^6)^1/7 /a^2

Ratling [72]

a8a6)1/7/a2 Final result : a12 ——— 7 Step by step solution :Step 1 : 1 Simplify — 7 Skip Ad
Equation at the end of step 1 : 1 ((a8) • (a6)) • — ÷ a2 7 Step 2 : 1 Divide — by a2 7 Equation at the end of step 2 : 1 ((a8) • (a6)) • ——— 7a2 Step 3 :Dividing exponential expressions :

3.1 a14 divided by a2 = a(14 - 2) = a12

Final result : a12 ——— 7

5 0

4 years ago

Lawrence drives the same distance monday through Friday commuting to and from work. Last week Lawrence drove 25 miles on the wee

alexira [117]

Answer:

60 - 25 = 35

35 / 7 = 5

Lawrence drives 5 miles each day commuting to and from work.

8 0

4 years ago

Read 2 more answers

A company manufactures and sells novelty mugs.The manufacturing costs consists of a fixed cost of R8 000 and a variable cost of

Sauron [17]

Ok so

8000=cost
profit-8000
then
another cost is 15rand per mug
but profit of 35 rand
35-15=20
profit of 20rand per mug

profit=R20m-R8000
where m=number of mugs sold
(R20 means 20 rand)

f(m)=R20m-R8000

break even means cost=earned
basically, when profit=0
0=R20m-R8000
add 8000 to both sides
R8000=R20m
divide both sides by 20
400=m

break even is 400 mugs

graph should be easy enough
put a point at (0,-8000) and at (400,0) then connect them

profit
f(x)=R20x-R8000
break even is 400 mugs

put points (0,-8000) and (400,0) and connect them

4 0

3 years ago

The sum of two numbers is 88. If four times the smaller number is subtracted from the larger number, the result is 13. Find the

VladimirAG [237]

Answer:

73 and 15

Step-by-step explanation:

I made two variables for this:

x = larger number

y = smaller number

Write an equation for "the sum of two number is 88" and you get:

x + y = 88

Write an equation for "four times the smaller number is subtracted from the larger number" and you get:

x - 4y = 13

I do not want an equation with both x and y in it, so I will rewrite the first one and use substitution in the second one:

x + y = 88 -- move the x to the other side

y = 88 - x

x - 4y = 13 -- substitute for y

x - 4(88 - x) = 13 -- multiply by 4

x - 352 + 4x = 13 -- move -352 to the other side, combine x's

5x = 365 -- divide by 5

x = 73

Now that I know x is 73, I go back to my first equation (x + y = 88) and I get:

73 + y = 88 -- subtract 73 from both sides

y = 88 - 73

y = 15

5 0

3 years ago