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4 years ago

PLEASE HELP ASAP 25 PTS + BRAINLIEST TO RIGHT/BEST ANSWER

Mathematics

1 answer:

irina [24]4 years ago

5 0

Answer:

36 +23i

Step-by-step explanation:

(3+8i) (4-3i)

FOIL

first: 3*4 = 12

outer: 3*-3i = -9i

inner: 8i *4 = 32i

last: 8i * -3i = -24i^2 = -24 (-1) = 24

Add these together

12+-9i+32i +24

Combine like terms

36 +23i

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A quality control expert at Glotech computers wants to test their new monitors. The production manager claims they have a mean l

tankabanditka [31]

Answer:

The probability that the mean monitor life would be greater than 96.3 months in a sample of 84 monitors

P(X⁻ ≥ 96.3) = 0.0087

Step-by-step explanation:

Step(i):-

Given that the mean of the Population = 95

Given that the standard deviation of the Population = 5

Let 'X' be the random variable in a normal distribution

Let X⁻ = 96.3

Given that the size 'n' = 84 monitors

Step(ii):-

The Empirical rule

$Z = \frac{x^{-} -mean}{\frac{S.D}{\sqrt{n} } }$

$Z = \frac{96.3 - 95}{\frac{5}{\sqrt{84} } }$

Z = 2.383

The probability that the mean monitor life would be greater than 96.3 months in a sample of 84 monitors

P(X⁻ ≥ 96.3) = P(Z≥2.383)

= 1- P( Z<2.383)

= 1-( 0.5 -+A(2.38))

= 0.5 - A(2.38)

= 0.5 -0.4913

= 0.0087

Final answer:-

The probability that the mean monitor life would be greater than 96.3 months in a sample of 84 monitors

P(X⁻ ≥ 96.3) = 0.0087

3 0

3 years ago

what would be the equation of a line that passes through (3,-4) with slope 2/3

Len [333]

Answer:

y = 2/3x - 6

Step-by-step explanation:

Use the slope intercept equation, y = mx + b

Plug in the slope and given point, then solve for b

y = mx + b

-4 = 2/3(3) + b

-4 = 2 + b

-6 = b

Plug in the slope and b into the equation

y = 2/3x - 6

So, the equation of the line is y = 2/3x - 6

7 0

3 years ago

I'm stuck and really need help. I can't figure out the rest.

Ad libitum [116K]

Answer:

The next statements are are;

Statement ${}$ Reason

Segment $\overline {DC}$ ≅ Segment $\overline {AB}$ ${}$ CPCTC

$\overline {AD}$ ≅ $\overline {BC}$ and $\overline {DC}$ ≅ $\overline {AB}$ , therefore;

ABCD is a parallelogram ${}$ Parallelogram side theorem

Step-by-step explanation:

Statement ${}$ Reason

Segment $\overline {DC}$ ≅ Segment $\overline {AB}$ by Congruent Parts of Congruent Triangles are Congruent (CPCTC)

Given that $\overline {AD}$ ≅ $\overline {BC}$ and we have that $\overline {DC}$ ≅ $\overline {AB}$ , we get;

ABCD is a parallelogram ${}$ Parallelogram side theorem

The parallelogram side theorem states that a quadrilateral is a parallelogram if it has two pairs or sets of congruent opposite sides.

4 0

3 years ago

Find x. (Use pic for more info)

V125BC [204]

Answer:

x=75

Step-by-step explanation:

Hey There!

If you didn't know the exterior angle of a triangle is equal to the sum of the opposite interior angles of a triangle

So essentially what I'm saying is that

2x-5=70+x

step 1 add 5 to each side

-5+5 cancels out

70+5=75

now we have

2x=70+x

step 2 subtract x from each side

x-x cancels out

2x-x=x

we're left with

x=75

8 0

3 years ago

Derek owns a landscape business. He charges a fixed fee of $30 plus $1 per 1,000 square feet of lawn mowed. Derek's earnings (in

fgiga [73]

Let f(x) represents function that tells us Derek's earning depending on square feet of lawn mowed which is x.

First we construct function:

f(x) = x/1000 * 1 + 30

x/1000 is a number that tells us the number of mowed units. for x = 1000 square feet he earns 1 dollar that is why we have to divide x by 1000.

if he earned 204 first week that means that x =:
204 = x/1000 + 30
x/1000 = 174
x = 174 000
if we check for each week that he worked we will see that square footage of the lawns he mowed match forth (last) option.

Answer is D.

8 0

3 years ago

Read 2 more answers