Three students need to produce a prime factorization of 48. Donna states that the first factors in the tree should be 6 and 8. Larry states that the first factors in the tree should be 4 and 12. Trish states that the initial factors of 48 do not affect the prime factorization. Explain why Trish is correct. (HELP ME)

Answer:

80 songs

Step-by-step explanation:

80 x 8- 160=

480

80 x 6=

480

answer is 80 songs

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Answer:

6,000

Step-by-step explanation:

Answer:

15 cups

Step-by-step explanation:

A dozen = 12, and 36 is 3 dozen! If you divide 36 by 12 you get 3, which you multiply by 5 to find your total amount of oil.

Answer:

18

Step-by-step explanation:

You divide the number of students (396) by 22 and get 18 and that is the number of teachers and to check it you multiply 18 by 22 and it will equal 396

Answer:

99

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Step-by-step explanation:

Step 1: Define

9f + 3h

f = 9

h = 6

Step 2: Evaluate

Answer:

30%

Step-by-step explanation:

The margin of error if the 90% confidence interval is found to be (32, 48) is 8.

In mathematics, an interval is expressed in numerical terms. All the numbers between two specific integers are referred to as an interval.

All actual values between those two are included in this range. Any form of the number you may imagine is a real number.

Given:

90% confidence interval is found to be (32, 48),

Calculate the margin of error as shown below,

MOE = interval width / 2

MOE = 48 - 32 / 2

MOE = 16 / 2

MOE = 8

Thus, the margin of error is 8.

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Answer:

Step-by-step explanation:

k/8 + 12 (Twelve more means add 12, quotient means divide, and number is k)

Now, if we replace k with 40, we get:

40/8 + 12

5 + 12 = 17

Twelve more (+ 12) than the quotient (dividing) of a number and eight

k/8 + 12

k = 40

40/8 + 12

5 + 12 = 17

Therefore, the value of the expression when k = 40 is 17.

Answer:

simple event and dependent event

Step-by-step explanation:

not needed

Answer:

(x+3)(x-2)

so the answer is at (-3,0) and (2,0)

Step-by-step explanation:

Following are the calculation to the given graph function:

Given:

[tex]f(x)=x^2+x-6[/tex]

To find:

value=?

Solution:

[tex]\to f(x)=x^2+x-6\\\\\to f(x)=x^2+(3x-2x)-6\\\\\to f(x)=x^2+3x-2x-6\\\\\to f(x)=x(x+3)-2(x+3)\\\\\to f(x)=(x+3) (x-2)[/tex]

so, points are defined in the graph.

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The probability that at least one of the two adults believes most famous people make good role models be 0.436.

A probability is a number that expresses the possibility or likelihood that a specific event will take place. Probabilities can be stated as proportions with a range of 0 to 1, or as percentages with a range of 0% to 100%.

A) The likelihood that both adults believe that most famous people make good role models would be = (199/800) × (198/799) = 39402/639200 = 0.062

B) We're looking for the likelihood that neither adult believes that most famous people make good role models.

Today that 199 people out of 800 believe that most famous people make decent role models.

The percentage of people who disagree that most celebrities make for good role models = 800 - 199 = 601

The probability that neither adult thinks most celebrities exists good role models. would be = (601/800) × (600/799)= 180300/319600 = 0.564

C) We're looking for the likelihood that at least one of the two adults believes that most celebrities make for positive role models.

Now that we know that neither of them believes that the majority of famous people are good role models, we can simply deduct that probability from 1.

The likelihood that at least one of the two adults believes most famous people make good role models = 1 - 0.564 = 0.436

The complete question is;

​In a sample of 800 U.S.​ adults, 199 think that most celebrities are good role models. Two Two U.S. adults are selected at random from the population of all U.S. adults without replacement. Assuming the sample is representative of all U.S.​adults, complete parts​ (a) through​ (c).

(a) Find the probability that both adults think most celebrities are good role models. The probability that both adults think most celebrities are good role models is ________?(Round to three decimal places as​ needed.)

​(b) Find the probability that neither adult thinks most celebrities are good role models. The probability that neither adult thinks most celebrities are good role models is _______?(Round to three decimal places as​ needed.) ​

(c) Find the probability that at least one of the two adults thinks most celebrities are good role models. The probability that at least one of the two adults thinks most celebrities are good role models ______? (Round to three decimal places as​ needed.)

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Answer:

[tex]\displaystyle P(A\mid B)=\frac{2}{11}[/tex]

Step-by-step explanation:

Conditional Probability

Is a measure of the probability of the occurrence of an event, given that another event has already occurred. If event B has occurred, then the probability that event A occurs is given by:

[tex]{\displaystyle P(A\mid B)={\frac {P(A\cap B)}{P(B)}}}[/tex]

Where [tex]P(A\cap B)[/tex] is the probability that both events occur and P(B) is the probability that B occurs.

Let's define events A and B for the question. There are 11 students that have a brother and 9 that have a sister. Two of those students have a brother and a sister.

We are given the fact that the selected student has a brother: this is the event that has already occurred, thus:

B = A student has a brother

A = A student has a sister

The probability that a student has a brother is:

[tex]\displaystyle P(B)=\frac{11}{28}[/tex]

The probability that the student has a brother and a sister is:

[tex]\displaystyle P(A\cap B)=\frac{2}{28}[/tex]

Thus, the conditional probability is:

[tex]{\displaystyle P(A\mid B)={\frac {\frac{2}{28}}{\frac{11}{28}}}}[/tex]

Simplifying:

[tex]\mathbf{\displaystyle P(A\mid B)=\frac{2}{11}}[/tex]

Given:

Cost of 2 DVDs before tax = $19.99

Tax rate = 8.25%

To find:

The cost of 2 DVDs after the tax was added.

Solution:

We have,

Cost of 2 DVDs before tax = $19.99

Tax rate = 8.25%

So,

Tax = 8.25% of Cost of 2 DVDs before tax

[tex]Tax=\dfrac{8.25}{100}\times 19.99[/tex]

[tex]Tax=1.649175[/tex]

[tex]Tax\approx 1.65[/tex]

Now,

Cost of 2 DVDs after tax = Cost of 2 DVDs before tax + Tax

                                         = $19.99 + $1.65

                                         = $21.64

Therefore, the cost of 2 DVDs after the tax is $21.64.

Answer:

A)5√2

Step-by-step explanation:

√50

√5²×2

√5²√2

5√2

it is 1 1/2

the answer is 1 1/2

Answer:( D ) 1 1/2

Step-by-step explanation:

Answer:

x > 2

(in the graph, the x value does not go below 2.)

Answer:

x/y = 8 or 8x

Step-by-step explanation:

Step-by-step explanation:

Let the time for which i bike is = x hours

Let the distance traveled in x hours = y miles

Ratio of distance and time will be = x : y

I travel 11.2 miles in 1.4 hours then the ratio of time and the distance traveled will be 1.4 : 11.2 Or 14 : 112

then the ratio of distance and time will be same in both the cases.

Answer:

200 teddy bears

Step-by-step explanation:

D : TB

6 : 5

Let the total number of dolls be 6x and the total number of teddy bears be 5x.

6x = 240

5x = [tex]\frac{5}{6}[/tex] × 240

    = 200 teddy bears

Answer:−

3c+2

Step-by-step explanation:

Answer:

−3c +2

Step-by-step explanation:

Combine Like Terms

Step-by-step explanation:

The total area of the figure is 50cm².

We have the following:

[tex]p(t) = 14+1.5t[/tex]

t is the number of toppings

Now, t=4

Replacing:

[tex]p(t)=14+1.5 .4\\p(t) =14+6\\p(t)=20[/tex]

20 dollars is the price of a  pizza with 4 different toppings.

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Answer:

If the average mass of 4 boys is 45, that means that the sum of all buys divided by the quantity of them (4) is 45, so if we want to calculate the sum of their masses, we can solve this equation:

[tex]\frac{x}{4} = 45[/tex]

Then, we pass the 4 multiplying:

[tex]x = 45*4 = 180[/tex], so we know the four boys that were taken into account on thatt average sum 180 kg of mass

Now, if another boy joins with a mass of x, we can add it to the mass we gott and, as we know dividing that by 5 will give us 40, we solve the equation:

[tex]\frac{180+x}{5} = 40[/tex]

We pass the five multiplying:

[tex]180 + x = 40 * 5[/tex]

[tex]180 + x = 200[/tex]

[tex]x = 20[/tex]

Now we know that the fith of these boys has a mass of 20 kg

The mass of the fifth boy is given as 20 kg.

In order to find the mean, first sum all the values of the data and count the number of data then divide them. It is also known as average.

In order to find the median, first check whether the number of data is even or odd. For even number, the median is n/2 th element of the sample and for odd number the median is (n + 1)/2 th element.

Given that,

The average mass of 4 boys is 45 kg.

And, the average mass of 5 boys is 40 kg.

Suppose the mass of fifth boy be x kg.

The total mass of 4 boys is given as,

Average of mass of 4 boys × 4

= 45 × 4

= 180

Total mass of 5 boys = Average of mass of 5 boys × 5

=>  180 + x = 5 × 40

=> x = 20

Hence, the mass of the fifth boy is 20 kg.

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Step-by-step explanation:

1) [tex]1 \: tsp. = 5ml[/tex]

[tex] = > \frac{1}{4} \: tsp. = \frac{5}{4} ml = 1.25ml[/tex]

2)[tex]1 \: oz. = 30gm[/tex]

[tex] = > \frac{1}{2} oz. = \frac{30}{2} = 15gm[/tex]

So,

[tex]1 \frac{1}{2} \: oz. = 1oz. + \frac{1}{2} oz.[/tex]

[tex] = > 30gm + 15gm = 45gm[/tex]

3)[tex]250f = 120c[/tex]

[tex] = > 1f = \frac{120}{250} c[/tex]

[tex] = > 125f = \frac{120}{250} \times 125 = 60c[/tex]

4)[tex] \frac{1}{4} c = 60ml[/tex]

[tex] = > 1c = (60 \times 4)ml[/tex]

[tex] = > \frac{1}{3} ml = \frac{60 \times 4}{3} = 80ml[/tex]

5) [tex] \frac{1}{4} in. = 5mm[/tex]

[tex] = > 1in. = (5 \times 4)mm[/tex]

[tex] = > \frac{3}{4} in. = \frac{5 \times 4 \times 3}{4} = 15mm[/tex]

Answer:

[tex]x=0[/tex]

Step-by-step explanation:

STEP 1: Since x is on the right side of the equation, switch the sides so it is on the left side of the equation.

[tex]3.6x+1.8x=11.52x[/tex]

STEP 2: Add  3.6x  and  1.8x.

[tex]5.4x=11.52x[/tex]

STEP 3: Move all terms containing x to the left side of the equation.

[tex]-6.12x=0[/tex]

STEP 4: Divide each term by  −6.12  and simplify.

[tex]x=0[/tex]

Answer:

Unite rate 1.25

Step-by-step explanation:

2.50/2 divded equals to 1.25

3.75/3 divded equals 1.25

6.25/5 divded equals 1.25

8.75/7 divded equals 1.25

Answer:

b. sqrt(58)

Step-by-step explanation:

Answer:

Part 1: 19° C

Part 2: decay

Part 3: 11%

Don't drop out!! You'll hurt yourself if you do that! If you feel trapped/stuck, reach out for help from friends and teachers and parents. Find someone who can help you understand what you're learning and teach you. Study extra if you need to. But don't drop out.

Step-by-step explanation:

You've got the initial temperature down: the constant that the function multiplies is the initial condition/number/temperature/population/&tc. since that constant is 19, the initial temperature is 19° C.

However, this is not an exponential growth function. This is an exponential decay function. There are two ways to surmise this:

As for the percentage at which it is changing… erm, decreasing… that would be 100 times the difference of 1 – r. Here, r is the number in parentheses. First, let's solve for 1 – r. Here, r is 0.89, so 1 – 0.89 = 0.11, and now we just need to multiply by 100. Why?

Percentages are a fraction of 100. For example, 89% is equal to 0.89 and the fraction [tex]\frac{89}{100}[/tex]. Here, we multiply 0.11 to find the percentage of change. So we have 0.11 × 100 = 11%, and our rate of change is 11%. Thanks to breyanamyers5 who indirectly hinted at my mistake here!

I hope this is the explanation you were hoping for! Have a great day, and don't give up!!

Wait a second... this question was 3 months old. Whoops. Oh well.

Answer:

40¹/₂ inches

Step-by-step explanation:

Since there are 4 tiles, there will be 3 spaces between them. So the length covered by the spaces L = length of one space × number of spaces = 3⁵/₆ × 3 = 23/6 × 3 = 23/2 = 11¹/₂ inches.

The total length covered by the 4 tiles is L' = length of one tile × number of tiles = 7¹/₄ × 4 = 29/4 × 4 = 29 inches.

So, the total length covered by the 4 tiles and 3 spaces between is L'' = 29 inches + 11¹/₂ inches = 41¹/₂ inches which is the length from the outside edge of the first tile to the outside edge of the last tile.

So, the length from the outside edge of the first tile to the outside edge of the last tile is the length from the outside edge of the first tile to the outside edge of the last tile 40¹/₂ inches