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2 years ago

Levi buys a one-pint bottle of juice for $1.76. What is the unit rate

1 answer:

6 0

Answer:
Zachary bought 16 ounces of juice
Step-by-step explanation:
First you figure out how many ounces are in a pint ( Which in case your wondering it's 16)
Then you take that number and divide $3.20 by 16 which gives you .20 cents.
You can double check my answer by multiplying .20 by 16 which gives you $3.20.
Hope this helps. ^w^

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A baseball player has a batting average of 0.26. What is the probability that he has exactly 6 hits in his next 7 at bats

LenKa [72]

Answer:

0.0016

Step-by-step explanation:

Batting average, p = 0.26

n = 7

x = 6

With p = 0.26 as success rate

1-p is equal to failure rate which is = 0.74

We have to solve this by using the binomial distribution formula.

P(X= x)

= nCx * p^x * (1-p)^(n-x)

P(X = 6)

=7C6 × 0.26^6 ×(1-0.26)^(7-6)

= 7 × 0.0003089 × 0..74¹

= 0.0016

So probability that he has exactly 6 hits in his next 7 bats is equal to 0.0016.

8 0

3 years ago

Help please! Identify an equation in point slope form for the line perpendicular to Y =-4x + 8 that passes through (-2, 7)

777dan777 [17]

Answer:

D. $y-7=\frac{1}{4}(x+2)$

Step-by-step explanation:

The point-slope form of a line is given by:

$y-y_1=m(x-x_1)$

The line given to us has equation; $y=-4x+8$ .

The slope of this line is -4. The of the line perpendicular to this line is the negative reciprocal of the slope of the given line.

Our slope of interest is therefore; $m=\frac{1}{4}$

Since the point goes through (-2,7), we have $x_1=-2,y_1=7$ .

We plug in the slope and the point into the point-slope formula to obain;

$y-7=\frac{1}{4}(x--2)$

The required equation is:

$y-7=\frac{1}{4}(x+2)$

3 0

2 years ago

Disks of polycarbonate plastic from a supplier are analyzed for scratch and shock resistance. The results from 100 disks are sum

IrinaK [193]

Answer:

0.84

Step-by-step explanation:

Given that Disks of polycarbonate plastic from a supplier are analyzed for scratch and shock resistance. The results from 100 disks are summarized as follows:

P(A) = 0.86, P(B) = 0.79, P(A') = 0.14, P(AUB) = 0.95

We are to find out P(A'UB)

We have

$P(AUB) =P(A)+P(B)-P(A\bigcap B)\\0.95=0.86+0.79-P(A\bigcap B)\\P(A\bigcap B)=0.70$

$P(A'UB) = P(A')+P(B)-P(A' \bigcap B)\\= 1-P(A) +P(B)-[P(B)-P(A \bigcap B)]\\= 1-0.86+0.79-P(B)+[tex]P(A'UB)=0.14+0.79-0.79+0.70\\=0.84$ P(A \bigcap B)[/tex]