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White raven [17]

3 years ago

14

The student council had a canned food drive. They collected a total a total of 63 cans on Wednesday. This is 21% of the total ho

w many canned goods were collected in all.

1 answer:

Alex73 [517]3 years ago

4 0

We are told that 21% of the total cans is 63 cans, therefore
100% of all the cans collected would be.

(63*100)/21=300 cans were collected in all

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John and Martha are contemplating having children, but John’s brother has galactosemia (an autosomal recessive disease) and Mart

Rina8888 [55]

<h2>Answer:</h2>

$Probability=\frac{1}{24}$

<h2>Step-by-step explanation:</h2>

As the question states,

John's brother has Galactosemia which states that his parents were both the carriers.

Therefore, the chances for the John to have the disease is = 2/3

Now,

Martha's great-grandmother also had the disease that means her children definitely carried the disease means probability of 1.

Now, one of those children married with a person.

So,

Probability for the child to have disease will be = 1/2

Now, again the child's child (Martha) probability for having the disease is = 1/2.

Therefore,

<u>The total probability for Martha's first child to be diagnosed with Galactosemia will be,</u>

$Probability=\frac{2}{3}\times \frac{1}{2}\times \frac{1}{2}\times \frac{1}{4}\\Probability=\frac{1}{24}$

(Here, we assumed that the child has the disease therefore, the probability was taken to be = 1/4.)

<em><u>Hence, the probability for the first child to have Galactosemia is $\frac{1}{24}$ </u></em>

3 0

3 years ago

How can you find a unit rate when given a rate

Alik [6]

A unit rate is just how much it costs per ONE unit of whatever your measuring. Lets say you had a rate of $4.00/8lbs. The unit rate would be $0.50/ ONE lb.

4 0

3 years ago

You're standing on the ground 7777 meters away from the bottom of a tall tower. The tower itself is 346346 meters tall. What is

lys-0071 [83]

Answer:

88.7°

Step-by-step explanation:

First, visualize. Assuming that the tower is at a perfectly 90° angle to the ground, you have a right triangle. We will call this triangle ΔABC where A is where you are, B is the top of the tower, and C is the base of the tower. Now we know the following:

∠A = ?

∠B = ?

∠C = 90

a = 346346

b = 7777

c = ?

Note: Triangles are labeled with three pairs of letters: a, b and c and A, B and C. The lower case letters, a, b and c represent the sides, and the upper case letters are the angles that are directly opposite of those sides. (see attached reference)

c is easy, c is the hypotenuse, so you can use the following equation to find the hypotenuse:

a² + b² = c²

Rearranged:

c = ± $\sqrt{a^{2} +b^{2} }$

Substitute a and b:

c = ± $\sqrt{346346^{2} +7777^{2} }$

Comes out to ~346433.3 meters.

Now if we use the Law of Sines:

$\frac{a}{sinA}$ = $\frac{b}{sinB}$ = $\frac{c}{sinC}$

We can use c and a, since we're trying to find what angle A is, so the ratio is set up as:

$\frac{346346}{sinA}$ = $\frac{346433.3}{sinC}$

Well we know that C = 90, and so sin(90) in degrees (as opposed to radians) is 1. So then the set of equations is now:

$\frac{346346}{sinA}$ = $\frac{346433.3}{1}$

Cross Multiply to get rid of the fractions:

346346 = 346433.3 * sin(A)

Divide:

$\frac{346346}{346433.3}$ = sin(A)

Using a calculator, if you take the arcsin of that fraction, you will get what angle A is supposed to be:

arcsin( $\frac{346346}{346433.3}$ ) = ∠A = 88.7°

5 0

2 years ago

Find the domain of f(x)=x-9/x squared-81

vagabundo [1.1K]

$f(x)=\dfrac{x-9}{x^2-81}\\\\\text{The domain:}\\\\x^2-81\neq0\qquad\text{add 81 to both sides}\\\\x^2\neq81\to x\neq\pm\sqrt{81}\\\\x\neq-9\ \wedge\ x\neq9\\\\Answer:\ \boxed{\text{All real numbers except -9 and 9}}\to\boxed{x\in\mathbb{R}-\{-9,\ 9\}}$

7 0

3 years ago

Martin runs a 5 kilometer race in 25 minutes. What is his unit rate?

SOVA2 [1]

Answer:

[ 60/25 ] x 5 km/h = 12 km/h

Step-by-step explanation:

4 0

3 years ago