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serg [7]
3 years ago
5

Elise planted a row of flowers in an area with the dimensions shown at the right. what is the area of her flower garden if the d

imensions are 8ft by 1/2 ft?
Mathematics
1 answer:
sweet [91]3 years ago
8 0
<span> <span><span> <span> Area is measured in square units such as square inches, square feet or square meters. </span> </span> <span> <span> </span> </span> <span> <span> <span>To find the area of a rectangle, multiply the length by the width. The formula is: A = LW</span> </span> </span> <span> <span> <span>, where A is the area, L is the length, W is the width, </span> </span> </span> </span></span>

A = ( 8ft) (1/2 ft)

<span>A = 4 sq ft</span>

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Subtract 9x2 + 73 – 2 from 8x – 10.
mrs_skeptik [129]

Answer:

8x-99

Step-by-step explanation:

18+73-2+16+73=89

8x-10 - 89 = 8x-99

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3 years ago
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Samples of 20 parts from a metal punching process are selected every hour. Typically, 1% of the parts require rework. Let X deno
Roman55 [17]

Answer:

a) P(X>np+3\sqrt{np(1-p)}=0.017

b) P(x>1)=0.190

c) P(Y>1)=0.651

Step-by-step explanation:

This a binomial experiment where success is denoted by parts that need rework.

X ∼ B(n, p); n = 20; p = 0.01

The expected value of X is: E(X) = np =20×0.01= 0.2

The variance is: Var(X) = np(1 − p) = 0.2 × 0.99 = 0.198,

The standard deviation SD(X)= \sqrt{0.198} ≈ 0.445

a) P(X>np+3\sqrt{np(1-p)}=P(X>0.2+3×0.445)=P(X>1.535)=P(X≥2)

Probability function is given by:

\frac{n!}{x!(n-x)!} *p^x*(1-p)^{(n-x)}

P(X≥2)=1-P(X<2)=1-P(X=1)-P(X=0)= 1 - \frac{20!}{1!(20-1)!} *(0.01)^{1}*(1-0.01)^{(20-1)}-\frac{20!}{0!(20-0)!} *(0.01)^{0}*(1-0.01)^{(20-0)}

P(X≥2)=1-0.165-0.818=0.017

b) p=0.04

P(x>1)=P(x≥2)= 1 - P(x=1) - P(x=0)= 1 - \frac{20!}{0!(20-1)!} *(0.04)^{1}*(1-0.04)^{(20-1)} - \frac{20!}{0!(20-0)!} *(0.04)^{0}*(1-0.04)^{(20-0)}

P(x>1)= 1 - 0.368 - 0.442=0.190

c) In this case we consider p=0.19 (Probability that X exceeds 1)

In this experiment Y is the number of hours and n= 5 hours.

Then, we check the probability in each hour:

P(Y>1)=1- P(Y=0)

P(Y=0)=\frac{5!}{0!(5-0)!} *(0.19)^{0}*(1-0.19)^{(5-0)}=0.349

P(Y>1)=1-0.349=0.651

3 0
3 years ago
5 Helga signs up to coach hockey. She
lianna [129]

Answer: 12 practice sessions

Step-by-step explanation:

You can represent the word problem in this equation: 200+50x<775 OR 200+50x=775

If you subtract 200 from 775, you’ll be left with: 50x=575

Count by fifties until you get to 575. You’ll notice that 50 doesn’t go into 575 evenly! However, this won’t matter, because Helga wants to make AT LEAST 775. So you can round up to 12 practices instead of 11, which will equal 800 dollars instead of 750.

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28.333333333. If you do a proportion and place it 1/(?) times .6/(17) you should multiply 17 by 1 (17*1) which should equal 17. You now have to divide it so 17 divided by .6 (17/6) which equals to 28.333333.

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tester [92]
3430 divided by 70 would give us 49. So 49 yards is how long the width of the field is.
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