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A cooler is filled with containers of yogurt. Some of the containers have low-fat yogurt and some have non-fat yogurt. There are three flavors for each type of yogurt, as shown in the table. Sophie chooses a container at random. What is the probability that she chooses low-fat yogurt?

Answer:

Alessa's car would be able to drive 337.5 miles with 15 gallons of gas.

Answer: y=2x+8

Step-by-step explanation:

you take the reverse of the slope being 2 including the negative.

The total cost for the appliances plus interest is 4330.

What is an interest rate?

The amount a lender charges a borrower is called an interest rate, and it is expressed as a percentage of the principal or the loaned amount. Typically, a loan's interest rate is expressed as an annual percentage rate, or APR.

Here, we

Cost of the appliance = $3725

Neema paid $700 so amount financed = $3725 - $700 = $3025

Interest rate on the loan = 3025*0.05*4 = $605

Total cost of the appliance = $3725 + 605 = $4330

Hence, the total cost for the appliances plus interest is 4330.

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Answer:

if D is 3/4 then it is the answer

Step-by-step explanation:

Because both 36 and 48 can be divided by 12 and 36/12 = 3 and 48/12=4 so the answer is 3/4

A percentage is a number or ratio expressed as a fraction of . It is often denoted using the percent sign, "%" and PV factor used is 0.62026 .

Hence,

The amount desired at end of a period is $9400.

The length of time is 4 years .

The rate is 2%.

Compounded is monthly.

The period used is 48.

The rate used is 1%.

The PV factor used is 0.62026 .

The PV of the amount desired at the end of the period is $5830.45

What is the percentage?

A percentage is a number or ratio expressed as a fraction of . It is often denoted using the percent sign, "%".

Here from the question,

PV factor = (1 + i) ----(1)

where, i = 12/12 % , i =1

and

n = 4(12)

n = 48

Substituting the values in the equation , we get

PV factor = (1 + 0.01)^ -48

PV factor = 0.62026

Hence,

the amount desired at end of a period is $9400.

The length of time is 4 years.

The rate is %.

Compounded is monthly.

The period used is 48 .

The rate used is 1%.

The PV factor used is 0.62026.

The PV of the amount desired at the end of the period is $5830.45

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Answer:

Her sister has 9032 beads

Step-by-step explanation:

All you have to do is Tina's beads plus the extra number of beads that her sister has

5345 + 3687 = 9032

A and B are mutually exclusive events

The correct answer is yes

What are mutually exclusive events?

Two events are mutually exclusive in statistics and probability theory if they cannot happen simultaneously. A coin toss is the most basic illustration of two events that cannot coexist. The result of tossing a coin can be either heads or tails, but neither outcome can happen at the same time.

We are given that Amanda has 5 office assistants.

Events A is the event that at least 4 of them are men. this means that there is at most 1 female assistant

Events B is the event that at least 4 of them are women. this means that there is at most 1 male assistant.

Now one of the conditions is possible but both at the same time is not possible

Hence the both events are mutually exclusive.

The correct answer is yes

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What is Set Theory Formula?

The set formula is given in general as n(A∪B) = n(A) + n(B) - n(A⋂B), where A and B are two sets and n(A∪B) shows the number of elements present in either A or B and n(A⋂B) shows the number of elements present in both A and B.

In a set theory, there are three major types of operations performed on sets, such as: Union of sets (∪) Intersection of sets (∩) Difference of sets (–)

Set Operations include Set Union, Set Intersection, Set Difference, Complement of Set, and Cartesian Product of Set

Set Union

The union of sets A and B (denoted by A ∪ B) is the set of elements that are in A, in B, or in both A and B. Hence, A ∪ B = { x | x ∈ A OR x ∈ B }.

n(A∪B) = n(A) + n(B) − n(A∩B)

Set Intersection

The intersection of sets A and B (denoted by A ∩ B) is the set of elements which are in both A and B. Hence, A ∩ B = { x | x ∈ A AND x ∈ B }.

n(A∩B) = n(A)+n(B)−n(A∪B)

Set Difference

The set difference of sets A and B (denoted by A - B) is the set of elements that are only in A but not in B. Hence, A - B = { x | x ∈ A AND x ∉ B }.

Complement of a Set

The complement of a set A (denoted by A’) is the set of elements which are not in set A. Hence, A' = { x | x ∉ A }. More specifically, A'= (U - A) where U is a universal set that contains all objects.

The complement of a universal set is an empty set U′ = ϕ. The complement of an empty set is a universal set ϕ′ = U.

Cartesian Product / Cross Product

The Cartesian product of n number of sets A1, A2, ... An denoted as

A1 × A2 ... × An can be defined as all possible ordered pairs

De-Morgan's Law - The De Morgan's law states that for any two sets A and B, we have (A ∪ B)' = A' ∩ B' and (A ∩ B)' = A' ∪ B'

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The answer is -4, -1, 1, 3, 3.9, 3.99, 3.999.

Given,

In the question:

To see the figure:

To select the values that makes the inequality  s ≤ 4 true.

Number table are given in figure.

To see the figure and analysis.

Now, According to the question;

To make the inequality s ≤ 4 true.

The selected value must be less than 4 {Properties of Inequality}

The values are sorted from small to large:

So, The answer is -4, -1, 1, 3, 3.9, 3.99, 3.999.

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Answer:

Add up all the numbers and divide the product of that by the numbers there are.

7+6+12+5+7+6+13 = 56

There are 7 numbers in these set of numbers hence we divide the product (56) by 7.

56/7 = 8

The answer is 8; The average of all these numbers is 8.

Step-by-step explanation:

What was Pam's starting salary?

Pam's current salary for 5 years = $73.500

Her salary went up for 122.5% in 5 years.
a = her starting salary

First, we will make an equation of this problem.

Let's use a as the symbol of her starting salary

equation that we are going to use
73500 = 122.5% x a

Next, we move a to the left and we want to divide 73500 with 122.5%
a = 73500 / (122.5/100)

Next, we want to divide 73500 with 1.225 since we've done dividing 122.5 with 100
a = 73500 / 1.225
a = 60000

Finally, we got the answer of Pam's starting salary was $60.000


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Answer:

yup

Step-by-step explanation:

so to find the amount of plates he has we :

30*9 = 270

How many guests :

250

Hank has 20 extra plates,

hope this helps :)

Answer:  The correct answer is 17 bags of fertilizer to cover the lawn

Step-by-step explanation:

1 bag of fertilizer covers 3000 SF of lawn

How many bags are needed for an area of 290 feet x 170 feet

Calculate the Square Feet:

290 x 170 = 49,300 SF

Divide space (SF) by bag coverage (SF):

49,300 / 3,000 = 16.43 bags of fertilizer

Round up answer to 17 bags of fertilizer

Answer:

100.86

Step-by-step explanation:

8.2*8.2+0.5(8.2)*8.2

Step-by-step explanation:

to eliminate the always positive absolute value at the end let's set y = -3x

that makes the absolute value term = 0 in all cases.

then we have

sqrt((x - 8)² + (-3x + 4)²)

the x-value that makes this a minimum result also makes

(x - 8)² + (-3x + 4)²

a minimum.

x² - 16x + 64 + 9x² - 24x + 16

10x² - 40x + 80

the x that makes this a minimum, also makes

x² - 4x + 8

a minimum.

we get the extreme value as zero of the first derivative :

0 = 2x - 4

4 = 2x

x = 2

so, we get the minimum of all these expressions for x = 2.

as y = -3x, we get y = -3×2 = -6.

the minimum value for the expression is with

x = 2

y = -6

so, the minimum value is

sqrt((2 - 8)² + (-6 + 4)²) + |-6 + 3×2| =

= sqrt((-6)² + (-2)²) + |-6 + 6| =

= sqrt(36 + 4) + 0 =

= sqrt(40) = 6.32455532...

[tex]C=3\times 10^8~\frac{m}{s}\hspace{5em}R=80000\implies R=8\times 10^4 \\\\[-0.35em] ~\dotfill\\\\ R=\cfrac{CT}{2}\implies 2R=CT\implies \cfrac{2R}{C}=T\implies \cfrac{2(8\times 10^4)}{3\times 10^8}=T \\\\\\ \cfrac{16\times 10^4}{3\times 10^8}=T \implies \cfrac{16}{3}\times\cfrac{10^4}{10^8}=T\implies \cfrac{16}{3}\times\cfrac{1}{10^8\cdot 10^{-4}}=T \\\\\\ \cfrac{16}{3}\times\cfrac{1}{10^{8-4}}=T \implies \cfrac{16}{3\times 10^4}=T\implies \cfrac{16}{30000}=T\implies \cfrac{1}{1875}=T[/tex]

Using the Fundamental Counting Theorem, the number of plates for each case is obtained as follows:

The Fundamental Counting Theorem is a theorem that states that if there are n independent trials, each with [tex]n_1, n_2, \cdots, n_n[/tex] possible results, the total number of outcomes is calculated by the multiplication of the factorials as presented as follows:

[tex]N = n_1 \times n_2 \times \cdots \times n_n[/tex]

With the Latin letters, it is found that for the letters, there are 26 outcomes, hence:

[tex]n_1 = n_2 = n_3 = 3[/tex]

With one number, the number of outcomes for the digit is:

[tex]n_4 = 9[/tex]

(as the digit cannot be zero).

With two numbers, the number of outcomes for the digit are:

[tex]n_4 = 9, n_5 = 10[/tex]

With three numbers, the parameters are:

[tex]n_4 = 9, n_5 = 10, n_6 = 10[/tex]

Hence the total number of plates is obtained as follows:

T = 26³ x (9 + 9 x 10 + 9 x 10 x 10) = 17,558,424.

With the extra letters, each letter can assume 29 outcomes, hence the number of plates is:

T = 29³ x (9 + 9 x 10 + 9 x 10 x 10) = 24,364,611.

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The equation represents the statement "3 times the sum of 4 and a number is 18 " is option (D) 3(n+4) = 18

The statement is

3 times the sum of 4 and a number is 18

The equation is the the mathematical statement the represents the relationship between two expression or variables with an equal sign.

Consider the unknown number = n

Sum of 4 and the number = n + 4

3 times the sum of 4 and the number = 3(n + 4)

3 times the sum of 4 and a number is 18

3(n + 4) = 18

Hence, the equation represents the statement "3 times the sum of 4 and a number is 18 " is option (D) 3(n+4) = 18

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The number of quarts in 12 L is 12.684 qt.

Given that, 12 L to qt.

Metric Conversion refers to the conversion of the given units to desired units for any quantity to be measured.

Here,

There are 1.057 quarts in a liter, and there are 0.946 liters in a quart.

Now, 12 L=12×1.057

= 12.684 qt

Therefore, the number of quarts in 12 L is 12.684 qt.

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In this case, they are both centimetres, so they remain constant. The true size, 15km, is then multiplied by 13/ 1. Then, 20 × 13 = 195. As a result, the answer is 195 kilometres.

Therefore,

The map has a scale  = 1 cm

Corresponds to  = 15 kilometers

Map centimeters apart​ = 13 cm

Then you simply multiply the true size

= 15km, by 13/ 1.

Then, 20 x 13 = 195.

Hence, the answer is 195 kilometers.

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Answer:

x = - 10

Step-by-step explanation:

2(x + 3) = x - 4

==> distribute the 2

2x + 6 = x - 4

==> subtract 6 from both sides

2x = x - 10

==> subtract x from both sides

x = - 10

The proportions of the total rooms that were occupied each year are:

Proportion is the fractional value of a variable when compared to the whole.

Proportions show the ratio or relative relationship between two or more values set as equal.

Like ratios, proportions are depicted in fractions, decimals, or percentages to show how two values compare.

                                          Current Year        Previous Year

Occupied Rooms                       1,512                    1,458

Total Rooms                              1,800                   1,800

Proportion of occupied rooms = 84%                    81%

                               (1,512/1,800 x 100)         (1,458/1,800 x 100)

Thus, on average, room occupancy for the two years is 82.5%, and proportionately for each year, it is 84% for the current year, while the previous year recorded 81%.

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What proportion of the total rooms were occupied each year?

Using the simplification, Manuel buy 15 stamps of 25 cents and 5 stamps of 30 cent.

In the given question,

Manuel wishes to purchase 25 cent and 30 cent stamps.

He decides to buy 10 fewer 30 cent stamps.

We have to find how many of each can he buy for no more than $19.00.

Let he buy x stamps of 25 cent.

He want to buy 10 fewer 30 cent stamps.

So he buy x−10 stamps of 30 cent.

But he have to buy total stamps of $19.

So the equation is

x+x−10 = 19

Simplifying

2x−10=19

Add 10 on both side

2x−10+10=19+10

2x=29

Divide by 2 on both side

2/2 x =29/2

x=14.5

x≈15

Hence, he buy 15 stamps of 25 cent.

Now finding the number of 30 cent.

he buy x−10 stamps of 30 cent.

So 15−10=5.

So he buy 5 stamps of 30 cent.

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The expression 3.2^2 - 1 and 10 - 0.33 * 2 should be joined by less than to form an inequality

Inequality refers to a way of representing relationships between variables at the left hand side of equation to the variables to the right hand side of an equation.

The signs used in inequality are of 4 types namely

The given expression is solved as follows

3.2^2 - 1

= 10.24 - 1

= 9.24

10 - 0.33 * 2

= 10 - 0.66

= 9.34

The two expressions can be joined as below

9.24 < 9.34

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The only equation given that represents the Exponent Property of Logs is; Option A: log(A^r) = r*log(A)

The  exponent property of logarithm says that the log of a power is the exponent times the logarithm of the base of the power. For example;

logₐ(MN) = logₐM + logₐN

logₐ(M/N) = logₐM - logₐN

logₐ(3²) = 2logₐ3

The first example above shows the product rule of logarithms

The second example shows the quotient rule of logarithms

The third rule shows the power rule

Now, looking at the options, the only one that shows the correct pattern of exponent property of logarithm is;

Option A: log(A^r) = r*log(A)

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Answer:

bla blablablablabla

Step-by-step explanation:

blablablablablabla

Answer:

1

Step-by-step explanation:

We don't even need to calculate 3 x 2.6 considering any number raised to the power of zero equals 1.