1. At the local baseball diamond, the distance from home base to second base is 100 feet.

Megan was painting on a rectangular canvas, and needed a frame for it. The length of the frame is 15 inches and the width is 10

siniylev [52]

Answer:

50 inches

Step-by-step explanation:

Hi there!

$P=2l+2w$ where l is the length of the rectangle and w is the width of the rectangle

Plug in the length (15 inches) and width (10 inches)

$P=2(15)+2(10)\\P=30+20\\P=50$

Therefore, the perimeter of the frame is 50 inches.

I hope this helps!

8 0

2 years ago

Snapdragon plants have a gene that determines the presence of chlorophyll. The dominant allele (C) causes the plant to make chlo

AleksAgata [21]

Answer: i)For X = (0,1) then P(x) = (1/3, 2/3)

ii) Then p=(2/3) as n=8

iii) 0.06828

Step-by-step explanation:

Use binomial distribution:

Probability of being yellow (by having 1 recessive allele) is 2/3. This is a binomial distribution with p=2/3. And since there are 8 selections, our n is 8. So p=(2/3), n=8.

Recall that in binomial distribution P(X=x) = C(n,x) × p^x × (1-p)^n-x.

So for 3 out of 8, it means x=3 and n=8.

Our equation becomes P(exactly three Snapdragon are yellow) = P(X=3) = (8C3) × (2/3)³ × (1/3)5 = 0.06828

7 0

3 years ago

The brand manager for a brand toothpaste must plan a campaign designed to increase brand recognition. He wants to first determin

bulgar [2K]

We need to find out how many adults must the brand manager survey in order to be 90% confident that his estimate is within five percentage points of the true population percentage.

From the given data we know that our confidence level is 90%. From Standard Normal Table we know that the critical level at 90% confidence level is 1.645. In other words, $Z_{Critical}=1.645$ .

We also know that E=5% or E=0.05

Also, since, $\hat{p}$ is not given, we will assume that $\hat{p}$ =0.5. This is because, the formula that we use will have $\hat{p}(1-\hat{p})$ in the expression and that will be maximum only when $\hat{p}$ =0.5. (For any other value of $\hat{p}$ , we will get a value less than 0.25. For example if, $\hat{p}$ is 0.4, then $1-\hat{p}=0.6$ and thus, $\hat{p}(1-\hat{p})=0.24$ .).