MATHEMATICS COLLEGE

What is the GCF of, 33,22? I need this now.

Answers

Answer 1

Answer:

Answer:

Step-by-step explanation:

33÷11=3

22÷11=2

3 and 2 habe no common factors

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When a number is increased by 26, the result is tripled. Then the result is increased by 72. If the final result is 1/2 of the number, what is the value of this number?
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There are 7 bananas, 10 oranges, and 5 apples and 5 apples in the fruit bowl. What is the ratio of bananas to fruit?
45% of the population has type o blood. Find the probability that exactly 6 people in a group of 10 random people have type o blood.
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A calzone is divided into 24 equal pieces. Sophie and Glenn each ate one-fourthof the calzone on Saturday. The next day, Glenn ate one-sixth
of the calzone that was leftover. How many of the pieces of the original calzone remain? Explain your reasoning.

Answers

Answer:

10 pieces

Step-by-step explanation:

Total no. of pieces of calzone = 24

No of pieces of calzone eaten by sophie = 1/4 of Total no. of pieces of calzone = 1/4 of 24 = (1/4)*24= 6 pieces.

No of pieces of calzone eaten by Glenn = 1/4 of Total no. of pieces of calzone = 1/4 of 24 = (1/4)*24= 6 pieces.

Total no of pieces eaten by both of them on saturday = 12.

No of pieces of calzone left = 24-12 = 12

_______________________________________________

No of pieces of calzone eaten by Glenn on next day = 1/6 of Total no. of pieces of calzone left= 1/6 of 12 = (1/6)*12= 2 pieces

No of pieces of calzone left now after Glenn ate 2 of them = 12-2 = 10.

Thus 10 pieces of original calzone are left .

What is the area of the trapezoid if h = 5 cm,b. = 6 cm, and b, = 8 cm?

A. 16.5 square cm
B. 19 square cm
C. 35 square cm
D. 40 square cm

HELP ME PLS ASAP PLS PLZ PLZ

Answers

Answer:

C) 35 square cm

Step-by-step explanation:

(6+8)/2=7

7x5=35

It is important that face masks used by firefighters be able to withstand high temperatures because firefighters commonly work in temperatures of 200-500 degrees. In a test of one type of mask, 24 of 55 were found to have their lenses pop out at 325 degrees. Construct and interpret a 93% confidence interval for the true proportion of masks of this type whose lenses would pop out at 325 degrees.

Answers

Answer:

The 93% confidence interval for the true proportion of masks of this type whose lenses would pop out at 325 degrees is (0.3154, 0.5574). This means that we are 93% sure that the true proportion of masks of this type whose lenses would pop out at 325 degrees is (0.3154, 0.5574).

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of $\pi$ , and a confidence level of $1-\alpha$ , we have the following confidence interval of proportions.

$\pi \pm z\sqrt{(\pi(1-\pi))/(n)}$

In which

z is the zscore that has a pvalue of $1 - (\alpha)/(2)$ .

For this problem, we have that:

$n = 55, \pi = (24)/(55) = 0.4364$

93% confidence level

So $\alpha = 0.07$ , z is the value of Z that has a pvalue of $1 - (0.07)/(2) = 0.965$ , so $Z = 1.81$ .

The lower limit of this interval is:

$\pi - z\sqrt{(\pi(1-\pi))/(n)} = 0.4364 - 1.81\sqrt{(0.4364*0.5636)/(55)} = 0.3154$

The upper limit of this interval is:

$\pi + z\sqrt{(\pi(1-\pi))/(n)} = 0.4364 + 1.81\sqrt{(0.4364*0.5636)/(55)} = 0.5574$

Please help me with this,............

Answers

Answer:

$a_(n)$ = 5n - 22

Step-by-step explanation:

The n th term of an arithmetic sequence is

$a_(n)$ = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Given a₂ = - 12 , then

a₁ + d = - 12 , that is

a₁ + 5 = - 12 ( subtract 5 from both sides )

a₁ = - 17

Thus

$a_(n)$ = - 17 + 5(n - 1)

= - 17 + 5n - 5

= 5n - 22

Red beads cost $1 an ounce and gold beads cost $3an ounce. Juanita wants to purchase a 12-ounce
mixture of red and gold beads that she can sell for $2
an ounce. The solution of the system shows the
number of beads needed for Juanita to break even.
x + y = 12
x + 3y = 24
How many ounces of red beads will Juanita buy to
break even?
How many ounces of gold beads will she buy?

Answers

Answer:

6 ounces of red beads

6 ounces of gold beads

Step-by-step explanation:

x + y = 12

x + 3y = 24

We can solve this with substitution or elimination. In this case, I would suggest elimination. Subtract the first equation from the second:

2y = 12

y = 6

Plug back into either equation to find x.

x = 6

Answer:

How many ounces of red beads will Juanita buy to break even?

How many ounces of gold beads will she buy?

Step-by-step explanation:

Because I got 100 percent on EDG 2020

Explain why Six less than three times a number is 21. Find the number.

Answers

Answer: 9

Step-by-step explanation: The reason that students get intimidated

by word problems is they try to look at all the information at once.

The best way to approach a word problem

is to break it down sentence by sentence.

In this problem, let's look at the first part of the sentence.

We know that six less than three times a number is 21.

Let's call the number x.

So we know that six less than three times a number means 3x - 6.

A common mistake would be for students to put 6 - 3x.

However, the word "less than" switches the order around.

So we know that six less than three times a number is 21.

So we can write this as 3x - 6 = 21.

Now we have an equation and we can solve for x.

First add 6 to both sides to get 3x = 27.

Now divide both sides by 3 to get x = 9.

So our answer to this word problem is 9.

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