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2 years ago

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Andy is randomly selecting an outfit to wear to school. He can choose from 4 shirts: blue striped, red striped, black striped, o

r white. He can choose from 3 pairs of shorts: tan, blue, or plaid.
Determine whether each statement is True or False.

1 answer:

NISA [10]2 years ago

6 0

Answer:

a false

b false

c true

d false

Step-by-step explanation:

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A right triangle has a hypotenuse of 153 centimeters and a leg of 72 centimeters. What is the length of the other leg?

Luba_88 [7]

81 cent.........................................................

7 0

3 years ago

The formula for perimeter of a rectangle is given by p = 2l + 2w, where p = perimeter, l = length, and w = width. solve the form

TiliK225 [7]

Perimeter formula
p = 2l + 2w

I reverse left-right side
2l + 2w = p

Move 2l to the right
2l + 2w = p
2w = p - 2l

Move 2 to the right
2w = p - 2l
w = (p - 2l)/2

Summary
p = 2l + 2w
2l + 2w = p
2w = p - 2l
w = (p-2l)/2

5 0

3 years ago

They make a base of 50 gallons (20%). They make a “heavy batch of 150 gallons (80%) They mix them both. What is the percent of

SSSSS [86.1K]

Answer #1: x= 250

50 = x times 20/100

X= 100 times 50/ 20

X=250

Answer #2: same explanation but the answer is X= 120

If your talking about merging the percentage of the answer, I can’t help you with that

4 0

3 years ago

Read 2 more answers

A research study uses 800 men under the age of 55. Suppose that 30% carry a marker on the male chromosome that indicates an incr

ss7ja [257]

Answer:

a) There is a 12.11% probability that exactly 1 man has the marker.

b) There is a 85.07% probability that more than 1 has the marker.

Step-by-step explanation:

There are only two possible outcomes: Either the men has the chromosome, or he hasn't. So we use the binomial probability distribution.

Binomial probability

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

$P(X = x) = C_{n,x}.\pi^{x}.(1-\pi)^{n-x}$

In which $C_{n,x}$ is the number of different combinatios of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

And $\pi$ is the probability of X happening.

In this problem, we have that:

30% carry a marker on the male chromosome that indicates an increased risk for high blood pressure, so $\pi = 0.30$

(a) If 10 men are selected randomly and tested for the marker, what is the probability that exactly 1 man has the marker?

10 men, so $n = 10$

We want to find P(X = 1). So:

$P(X = x) = C_{n,x}.\pi^{x}.(1-\pi)^{n-x}$

$P(X = 1) = C_{10,1}.(0.30)^{1}.(0.7)^{9} = 0.1211$

There is a 12.11% probability that exactly 1 man has the marker.

(b) If 10 men are selected randomly and tested for the marker, what is the probability that more than 1 has the marker?

That is $P(X > 1)$

We have that:

$P(X \leq 1) + P(X > 1) = 1$

$P(X > 1) = 1 - P(X \leq 1)$

We also have that:

$P(X \leq 1) = P(X = 0) + P(X = 1)$

$P(X = 0) = C_{10,0}.(0.30)^{0}.(0.7)^{10} = 0.0282$

So

$P(X \leq 1) = P(X = 0) + P(X = 1) = 0.0282 + 0.1211 = 0.1493$

Finally

$P(X > 1) = 1 - P(X \leq 1) = 1 - 0.1493 = 0.8507$

There is a 85.07% probability that more than 1 has the marker.

3 0

3 years ago

The following formula relates 3 equantities: force(F),mass(m),and acceleration(a)

weqwewe [10]

We know, Force = mass × acceleration

( i ) :

Given,
Force = 25 units
Mass = 10 units
Acceleration = ?

Solution,

Applying the formula of force,
➡ Force = mass × Acceleration

⏩ 25 = 10 × acceleration

⏩ 25 / 10 =acceleration

⏩ 2.5 units = acceleration

( ii ) :

Given,
Force = 25 units
Acceleration = 5 units
Mass =?

Solution :

Applying formula,
➡ Force = mass × acceleration

⏩ 25 = 5 × mass

⏩ 25 / 5 = mass

⏩ 5 units = mass

$\:$

5 0

3 years ago