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grandymaker [24]
3 years ago
14

Find the measure of 4

Mathematics
2 answers:
IceJOKER [234]3 years ago
8 0

<em><u>ᎪꪀsωꫀᏒ</u></em>

angle 4 = 147

Step-by-step explanation:

angle 4 + 33 = 180

angle 4 = 180-33

angle 4 = 147

schepotkina [342]3 years ago
5 0

Answer:

147º

Step-by-step explanation:

180-33=147

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Company F sells fabrics known as fat quarters, which are rectangles of fabric created by cutting a yard of fabric into four piec
jeka94

Answer:

a) Y 0 1 2

P(Y) 0.58 0.23 0.11

b) mean= 0.45, S.D= 0.6718

c) mean= 1.285, S.D= 8.74

Step-by-step explanation:

a) The following table shows the probability distribution of X:

X 0 1 2 3 4 or more

P(X) 0.58 0.23 0.11 0.05 0.03

Defect >2 = cannot be sold

Y = the number of defects on a fat quarter that can be sold by Company F.

Y = defect that can be sold

Y = Defect less or equal to 2 = 0,1,2

Probability distribution of the random variable Y:

Y 0 1 2

P(Y) 0.58 0.23 0.11

b) mean of Y (μ)

μ = Σ x*P(Y)

= (0*0.58) +(1*0.23)+(2*0.11)

= 0+0.23+0.22 = 0.45

Standard deviation of Y = σ

σ = Σ√(x-mean)^2*P(Y)

= Σ√[(x- μ )^2*P(Y)]

= √[(0-0.45)^2*0.58+ (1-0.45)^2*0.23 + (2-0.45)^2*0.11]

= √[0.11745 + 0.069575 +0.264275

= √(0.4513

σ = 0.6718

Company G:

σ for defect that be sold = 0.66

μ for defect that be sold = 0.40

Difference between μ of F and μ of G

= 0.45-0.40 = 0.05

Difference between σ of F and σ of G

= 0.67-0.66 = 0.01

Selling price of fat quarter without defect = $5

Discount per defect = $1.5

Selling price per defect = 5-1.5 = $3.5

Discount per 2 defect = $1.5*2 = $3

Selling price per defect = 5-3 = $2

Since defect to be sold cannot be greater than 2, let Y = 5,3,2

Probability distribution of the selling price Y:

Y 5 3 2

P(Y) 0.58 0.23 0.11

μ = (5*0.58) +(3.5*0.23)+(2*0.11)

μ = 2.9+0.805+0.22 =1.285

σ = Σ√[(x- μ )^2*P(Y)]

σ = √[(5-1.285)^2*0.58+ (3-1.285)^2*0.23 + (2-1.285)^2*0.11]

σ = 8.00+0.68+0.06 = 8.74

7 0
3 years ago
Greg deposited $4000 into an account with a 9.8% annual interest rate, compounded semiannually. Assuming that no withdrawals are
Dovator [93]

The number of years it would take $4000 to grow to $4616 is 2.92 years.

<h3>How many years would it take the investment to have a value of $4616?</h3>

When an amount earns compound interest compounded semi annually, it means that both the amount invested and the interest accrued increases in value twice yearly.

Number of years = (In FV / PV) / r

  • r = 9.8/2 = 4.90%
  • FV = future value = 4616
  • PV = present value = 4000

(In 4616 / 4000) / 0.049 = 2.92 years

6 0
2 years ago
P is the set of integers that are greater than or equal to -3 a d less than -1
rjkz [21]
To represent this statement I put it in an expression thingy -3 ⩽ p <1
8 0
3 years ago
Can someone please explain how to solve it ?? ​
Alik [6]

if we look on one side, we already have one measurement. 4 cm. ok, that's the measurement on that side. look to the left now. that other side is also the same length, so we take that number and multiply it be 2 to get

4 \times 2

Wait! we're not done yet. look at the top. do you see the 3? well that's the width for the top of the rectangle. the bottom must be the same to right? so we get

3 \times 2

add both equations and you get

(4 \times 2) + (3 \times 2)

The answer is 14cm! Don't forget to label. ;)

8 0
3 years ago
<img src="https://tex.z-dn.net/?f=%5Clarge%5Cmathfrak%7B%7B%5Cpmb%7B%5Cunderline%7B%5Corange%7BQuestion%20%7D%7D%7B%5Corange%7B%
VashaNatasha [74]

Answer:

29

Step-by-step explanation:

As it is a list of prime number, the sequence continues with 29 being the next prime number after 23.

6 0
3 years ago
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