Marge cut 16 pieces of tape for mounting pictures on poster board. Each piece of tape was 3/8 inch long. How much tape did Marge use?

Answer:

Option A.

Step-by-step explanation:

Michelle plans to make some purchases online this month and is contemplating whether to use her credit card or debit card. The best advice for Michelle would be to use her - debit card because if her debit card number is stolen online, she will not be liable for any unauthorized charges.

Under the federal Electronic Fund Transfer Act, one has to pay nothing if there is a loss or theft of the card and he reports immediately and the card has not been used.

Answer:

30.23%

Step-by-step explanation:

Gabriela's monthly take-home pay  = $2,800

Her monthly rent = $700

if her monthly take-home pay and her rent increase by $210.

Her monthly take-home pay would be = 2800 + 210 = $3,010

Her monthly rent would be = 700 + 210 = $910

Now we have to calculate the percentage of Gabriela's take-home pay used to pay rent.

[tex]\frac{910}{3010}[/tex] × 100

= 0.3023 × 100

= 30.23%

Gabriela's take-home pay will be used 30.23% to pay rent.

1.5, 1.5, 1.6, 2.1, 2.1, 2.1, 3.5, 3.6 from the given options, the option (A) is correct.

Stem and Leaf Plot is defined as a graph that shows numerical data arranged in order. A stem and leaf plot also called a stem and leaf diagram is a method of arranging data in a way that makes it simple to see how frequently various types of values occur.

Match the stem and leaf plot to the correct set of data.

The set of data that can be created from the given stem and leaf plot using the key 1 | 6 means 1.6 is:

Row 1 contains 1.6, 1.5 and 1.5

Row 2 contains 2.1, 2.1 and 2.1

Row 3 contains 3.6 and 3.5

So the data values are: 1.5, 1.5, 1.6, 2.1, 2.1, 2.1, 3.5, 3.6

Hence, the option (A) 1.5, 1.5, 1.6, 2.1, 2.1, 2.1, 3.5, 3.6 is the correct data set for the given stem and leaf plot.

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Final answer:

The given mathematical expression simplifies to 0, after performing the necessary arithmetic operations and applying the correct order of operations, including parentheses and exponents.

Explanation:

The question involves simplifying a mathematical expression with both arithmetic operations and exponentiation. To solve the expression [tex](1/2(18+14)-(18-14))^2[/tex] , you first perform the operations inside the parentheses, then multiply by 1/2 (which is the same as dividing by 2), and finally subtract the square of the difference between 18 and 14.

Therefore, the solution to the expression is 0.

Answer:

so Jj earns a flat rate of 180 per week and an extra 15 per tablet he has sold

so what we need to do is subtract his flat rate(180) from his total(315)

315

-180

____

135 So now we know how much money Jj has earned from selling tablets. But we still need to create an equation and find out how many he has sold.

So we know he get $15 per tablet so 135÷15=9

now we know he has sold 9 tablets

Bu what is our Equation?

well, what were the steps?

TP = total pay

FR= Flat rate

C= Computer profit

PPC= price per computer

#C = number of computers

#C = TP-FR=C C÷PPC=#C

can we simplify this further?

#C = C÷PPC

lets do this:

#C= x

C= y

PPC= z  

So:              (X = Y÷Z)

Step-by-step explanation:

To calculate the probability of generating a valid password, we need to determine the total number of possible and favorable outcomes. The probability of generating a valid password is the number of favorable outcomes divided by the total number of possible outcomes.

To calculate the probability of generating a valid password, we need to determine the total number of possible and favorable outcomes. In this case, there are 36 possible characters (26 letters + 10 digits).

The total number of possible outcomes is obtained by raising the number of characters to the power of the password length, which is 8. So, there are 36^8 possible outcomes.

Now, we need to calculate the number of favorable outcomes. For the password to be valid, it must contain at least one digit. This means we need to consider passwords with 1, 2, 3, 4, 5, 6, 7, or 8 digits. We can calculate the number of favorable outcomes for each case using combinations, and then sum them up.

The probability of generating a valid password is the number of favorable outcomes divided by the total number of possible outcomes.

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Answer:

2/5 of an hour and 24 min

Step-by-step explanation:

Minutes:

Hours:

*Very easy*

I hoped I helped you :)

Answer:

[tex]\frac{1}{4}[/tex]

Step-by-step explanation:

we have

[tex]x^{2} +\frac{1}{2}x+\frac{1}{16}=\frac{4}{9}[/tex]

we know that

[tex](x+a)^{2}=x^{2}+2ax+a^{2}[/tex]

in this problem

[tex]2ax=\frac{1}{2}x[/tex] ------> [tex]a=\frac{1}{4}[/tex]

[tex]a^{2}=\frac{1}{16}[/tex] -----> [tex]a=\frac{1}{4}[/tex]

so

[tex]x^{2} +\frac{1}{2}x+\frac{1}{16}=(x+\frac{1}{4})^{2}[/tex]

the missing number in the left side is [tex]\frac{1}{4}[/tex]

Number of assistants required to make 13 flower arrangements = 2

Let us use unitary method here.

Number of assistants required to make 1 flower arrangements = 2/13

Number of assistants required to make 195 flower arrangements = 2/13 *195 =30

Answer : So 30 assistants are required to make 195 flower arrangements.

The line segments AC and CE break this quadrilateral into three triangles.  The area of a triangle is given by A=1/2bh.  The base of ΔADC is 6 and the height is 4.5; A=1/2(6)(4.5)=13.5m².  

To find the area of ΔACE, we must first find the length of segment AE.  To do this, we will need to know both EC, which we are given, and AC, which we are not.  We will use the Pythagorean theorem for ΔADC to find the length of AC.

6²+(4.5)²=(AC)²

36+20.25=(AC)²

56.25=(AC)²

√56.25=√(AC)²

7.5=AC

Now that we know the length of AC, we will use the Pythagorean theorem on ΔACE to find the length of AE:

7²+(AE)²=(7.5)²

49+(AE)²=56.25

49+(AE)²-49=56.25-49

(AE)²=7.25

√(AE)²=√7.25

AE≈2.69

Now we can find the area of ΔACE:  A=1/2(7)(2.69)=9.415m²

To find the area of ΔBCE, we need to find the length of EB.  We know that AB=9 and AE=2.69.  Subtracting those two, we find the length of EB to be 6.31m.  Therefore the area of ΔBCE=1/2(6.31)(7)=22.085m²

The total area is given by adding these three together:

13.5+9.415+22.985=45m².

It would take 15 rows of 20 tiles each to cover the rectangular portion of this patio (4.5m*100 =450cm; 450cm/30-cm tiles = 15 rows of tiles; 6m*100=600cm; 600cm/30-cm tiles = 20 tiles per row) which comes out to 300 tiles.  However, adding an extra 10% to that:

300*0.1+300=30+300=330 tiles.

The answer is 17.8° C

In order to Convert Fahrenheit to centigrade scale we use the formula

°C = (°F - 32) × 5/9

So putting the values in the equation we get

(64°F − 32) × 5/9 = 17.778°C

The height of the cylinder is 9cm

Data

The formula of volume of a cylinder is given as

[tex]v=\pi r^2h[/tex]

But it also the product of it's base area and it's height

[tex]v = base area * height[/tex]

Let's substitute the values and solve

[tex]198=22*h\\h = 9cm[/tex]

The height of the cylinder is 9cm

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u - v = <6 - 1, -9 - (-4)> = <5, -5> . . . . . . . matches selection A)

_____

The sum or difference of vectors is simply the sum or difference of corresponding coordinates.

Answer:

gjilohiklhjkl

Step-by-step explanation:

The artist can save approximately $5.64 by purchasing the canvas before the 5% price increase.

The question is asking how much an artist will save on a canvas costing $112.78 before a 5% price increase. To find the cost after the increase, we can first calculate the 5% of $112.78.

So, 5/100 * 112.78 = $5.639

The cost of a canvas after a 5% increase will be $112.78 + $5.63 = $118.42 approximately.

The artist will save the difference between the increased cost and the current cost, which is $118.42 - $112.78 = $5.64 approx.

The artist would save nearly $5.64 if they buy the canvas before the 5% price increase.

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Final answer:

The probability that either you or your friend Joe is among the 15 students chosen from a class of 50 can be calculated using combinations and complementary probabilities.

Explanation:

Calculating the probability that either you or your friend Joe is selected at random from a class of 50 students, where 15 students are to be chosen, we must consider all the possible scenarios. The probability can be found by considering the cases in which neither of you is chosen and subtracting that from 1. The calculation goes as follows:

Probability that neither you nor Joe is chosen: This is the number of ways to choose 15 students from the 48 (excluding you and Joe) divided by the number of ways to choose 15 from the entire class of 50.

Calculate the complement: Subtract the probability found in step 1 from 1 to get the probability that either you or Joe is chosen.

Thus, by understanding the complementary probability and the concept of combinations, we can determine the desired probability.

The probability that either you or your friend Joe are among the chosen students is 0.383, or 38.3%.

To determine the probability that either you or your friend Joe are among the 15 students chosen from a class of 50, follow these steps:

Step 1: Calculate the total number of ways to choose 15 students from 50.

The total number of combinations is given by [tex]\( \binom{50}{15} \)[/tex]:

[tex]\[\binom{50}{15} = \frac{50!}{15!(50-15)!}\][/tex]

Step 2: Calculate the number of ways to choose 15 students excluding you and Joe.

If you and Joe are excluded, there are 48 students left. The number of ways to choose 15 students from these 48 is [tex]\( \binom{48}{15} \)[/tex]:

[tex]\[\binom{48}{15} = \frac{48!}{15!(48-15)!}\][/tex]

Step 3: Calculate the probability that neither you nor Joe are chosen.

The probability that neither you nor Joe are chosen is:

[tex]\[P(\text{neither you nor Joe}) = \frac{\binom{48}{15}}{\binom{50}{15}}\][/tex]

Step 4: Calculate the probability that at least one of you is chosen.

The probability that at least one of you is chosen is the complement of the probability that neither of you is chosen:

[tex]\[P(\text{at least one of you}) = 1 - P(\text{neither you nor Joe})\][/tex]

Substituting the values from Step 3:

[tex]\[P(\text{at least one of you}) = 1 - \frac{\binom{48}{15}}{\binom{50}{15}}\][/tex]

Step 5: Calculate the specific numerical values.

Using a calculator or software to find the binomial coefficients:

[tex]\[\binom{50}{15} = 2,118,760,829,220\][/tex]

[tex]\[\binom{48}{15} = 1,307,504,168,685\][/tex]

Thus,

[tex]\[P(\text{neither you nor Joe}) = \frac{1,307,504,168,685}{2,118,760,829,220} \approx 0.617\][/tex]

Finally,

[tex]\[P(\text{at least one of you}) = 1 - 0.617 = 0.383\][/tex]

So, the probability that either you or your friend Joe are among the chosen students is 0.383, or 38.3%.