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1 year ago

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The Lynx pay their four running backs $1 million, $850,000, $750,000, and $500,000. If the team salary is $33 million a year, wh

at percentage of the total salary is paid to running backs? (Round to the nearest percent.)

1 answer:

yawa3891 [41]1 year ago

4 0

The total of the running backs' salaries need to be added together first. So, $1 000 000 + $850 000 + $750 000 + $500 000 = $3 100 000. Now we divide the total number of salaries by the running back salaries: $3 100 000/$33 000 000 = 0.094 x 100 = 9.4 %.
Round off to nearest percent = 9.00 %.

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During a field trip, 60 students are put into equal-sized groups. Describe two ways to interpret 60÷5 60 ÷ 5 in this context. Fi

Afina-wow [57]

The second question:

Consider the division expression $7\frac{1}{2} / 2$ . Select all multiplication equations that correspond to this division expression.

$2 * ? = 7\frac{1}{2}$ $7\frac{1}{2} * ?= 2$ $? * 2 = 7\frac{1}{2}$

$2* 7\frac{1}{2} = ?$ $? * 7\frac{1}{2} = 2$

Answer:

1. See Explanation

2. $2 * ? = 7\frac{1}{2}$ and $? * 2 = 7\frac{1}{2}$

Step-by-step explanation:

Solving (a):

Given

$Students = 60$

$Group = Equal\ Sized$

Required

Interpret $\frac{60}{5}$ in 2 ways

<u>Interpretation 1:</u> Number of groups if there are 5 students in each

<u>Interpretation 2:</u> Number of students in each group if there are 5 groups

<u>Solving the quotient</u>

$Quotient = \frac{60}{5}$

$Quotient = 12$

<u>For Interpretation 1:</u>

The quotient means: 12 groups

<u>For Interpretation 2:</u>

The quotient means: 12 students

Solving (b):

Given

$7\frac{1}{2} / 2$

Required

Select all equivalent multiplication equations

Let ? be the quotient of t $7\frac{1}{2} / 2$

So, we have:

$7\frac{1}{2}/2 = ?$

Multiply through by 2

$2 * 7\frac{1}{2}/2 = ? * 2$

$7\frac{1}{2} = ? * 2$

Rewrite as:

$? * 2 = 7\frac{1}{2}$ --- This is 1 equivalent expression

Apply commutative law of addition:

$2 * ? = 7\frac{1}{2}$ --- This is another equivalent expression

8 0

1 year ago

What is another way to group the factors (3x2)x5

tia_tia [17]

<u>Answer</u>

3×(2×5)

<u>Explanation</u>

Multiplication of numbers is associative. For example,

(a×b)×c = a×(b×c)

This is also called grouping. We multiply more than 2 numbers by grouping.

For the equation given above, (3x2)x5, it can also be grouped as 3×(2×5).

5 0

1 year ago

Read 2 more answers

Use the geometric probability distribution to solve the following problem. On the leeward side of the island of Oahu, in a small

Greeley [361]

Answer:

(a) $\text{P(n)} = \text{p} \times \text{(1 - p)}^{n-1} ; \text{ n} = 1, 2, 3,....$

(b) P(1) = 0.740, P(2) = 0.192, and P(3) = 0.050.

(c) The probability that n ≥ 4 is 0.018.

(d) The expected number of residents in the village you must meet before you encounter the first person of Hawaiian ancestry is 3.

Step-by-step explanation:

We are given that on the leeward side of the island of Oahu, in a small village, about 74% of the residents are of Hawaiian ancestry.

Let n = 1, 2, 3, … represent the number of people you must meet until you encounter the first person of Hawaiian ancestry in the village.

(a) We can observe that the above situation can be represented through the geometric distribution because the geometric distribution states that we will keep on going with the trials until we achieve our first success,

Here also, n represent the number of people you must meet until you encounter the first person of Hawaiian ancestry in the village.

So, the probability distribution of the geometric distribution is given by;

$\text{P(n)} = \text{p} \times \text{(1 - p)}^{n-1} ; \text{ n} = 1, 2, 3,....$

where, p = probability that the residents are of Hawaiian ancestry = 74%

(b) The probabilities that n = 1, n = 2, and n = 3 is given by;

$\text{P(n)} = \text{p} \times \text{(1 - p)}^{n-1}$

P(1) = $\text{0.74} \times \text{(1 - 0.74)}^{1-1}$ = 0.74

P(2) = $\text{0.74} \times \text{(1 - 0.74)}^{2-1}$ = 0.192

P(3) = $\text{0.74} \times \text{(1 - 0.74)}^{3-1}$ = 0.050

(c) The probability that n ≥ 4 is given by = P(n ≥ 4)

P(n ≥ 4) = 1 - P(n = 1) - P(n = 2) - P(n = 3)

= 1 - 0.74 - 0.192 - 0.050

= 0.018

(d) The expected number of residents in the village you must meet before you encounter the first person of Hawaiian ancestry is given by = E(n)

We know that the mean of the geometric distribution is given by;

Mean = $\dfrac{p}{1-p}$ = $\dfrac{0.74}{1-0.74}$

= $\dfrac{0.74}{0.26}$ = 2.85 or 3 (approx).

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2 years ago

Tim wants to purchase a watch for $98.99. He has a coupon that will discount the watch by 10%. If sales tax is 7.5%, what will T

PtichkaEL [24]

Answer:

$95.77

Step-by-step explanation:

We are told that Tim wants to purchase a watch for $98.99.

He has a coupon that will discount the watch by 10%. So price of watch after using coupon will be,

$\text{Price of watch after discount}=98.99-(98.99*\frac{10}{100})$

$\text{Price of watch after discount}=98.99-(98.99*0.10)$

$\text{Price of watch after discount}=98.99-9.899=89.091$

Now let us find the price of watch after sales tax of 7.5%.

$\text{Price of watch after sales tax}=89.091+(89.091*\frac{7.5}{100})$

$\text{Price of watch after sales tax}=89.091+(89.091*0.075)$

$\text{Price of watch after sales tax}=89.091+6.681825$

$\text{Price of watch after sales tax}=95.772825\approx 95.77$

Therefore, Tim will pay $95.77 at the register.

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1 year ago

Customers can pick their own berries at the Gooseberry Farm. They pay $4 to enter the farm and $1.50 per pound for the berries t

erma4kov [3.2K]

Hi there!

$5.50=y

1 pound=x

4+1.50=5.50

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1 year ago