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Andru [333]
3 years ago
10

5 positive integers must have the following:

Mathematics
1 answer:
CaHeK987 [17]3 years ago
7 0

A mode of 10 means that at least two of the four numbers are 10 (if the other two aren’t also the same, and given that there is no reason to assume that the set has two modes, we will not assume so). So two of the numbers are 10.

The median is eight. Given that there are four numbers in the set, that means that 8 is the average of the two middle numbers. Given that 10 is obviously higher than the median, the third and fourth numbers (when ranked in ascending order) are the two 10′s. The two middle numbers - 10 is one of them - should add up to 16 to produce a median of 8. 6 must be another number in the set.

Finally, knowing that the range is 5, and the largest number is 10, the final number in the set must be 5.

The set of four numbers is thus {5, 6, 10, 10}.

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a rectangular parking lot has a perimiter of 500 feet and a width of 100 feet. find the lenght of the parking lot be sure to sho
devlian [24]

Answer:

50,0

Step-by-step explanation:

So we know 500×100=50,000

So it's 50,000

3 0
3 years ago
Use the given root to find the remaining root of the function. Root: x = - 3 Function: f(x) = x ^ 2 + x - 6
ra1l [238]

Answer:

x = 2

Step-by-step explanation:

Since we know one root is -3, we know one factor of the equation is (x+3)

From there we can use the factor we know to factor the rest of the equation:

x^2 + x - 6 = (x+3) * ?

Since know -6 is just 3 * -2 and since 3-2 is 1,

(x+3)(x-2) = x^2 + x - 6

From there,

x - 2 = 0

x = 2

6 0
3 years ago
B. To make salad dressing for the fruit salad, Mrs. Santos uses 2/4 cup oil, 1 cup orange juice, and 3/4 cup honey. How many cup
Ket [755]

Answer:

\sf 2 \frac14 \ cups

Step-by-step explanation:

Add the amounts together:

\sf \implies \dfrac24+1+\dfrac34

Convert the whole number 1 into a fraction with denominator 4:

\sf \implies \dfrac24+\dfrac44+\dfrac34

As all the denominators are the same, we can simply add the numerators:

\sf \implies \dfrac{2+4+3}4

\sf \implies \dfrac94

Finally, convert the improper fraction into a mixed number:

\sf \implies 2 \frac14 \ cups

5 0
2 years ago
Read 2 more answers
In Exercise,find the balance in the account after 10 years.
djverab [1.8K]

Answer: The balance in the account after 10 years is $3374.65

Step-by-step explanation:

The exponential equation for growth [ compounded continuously] is

y=pe^{rt}

, where P= Present value

r= growth rate  ( in decimal)

t= time (years)

By considering the given information , we have

p=$2500  r = % =0.03  and t= 10

Substitute all the values in the above equation , we get

y=2500e^{0.03(10)}

y=2500e^{0.3}

y=2500(1.3498588)=3374.64701894\approx3374.65  [Round to the nearest cent]

Therefore, the balance in the account after 10 years is $3374.65

3 0
3 years ago
A particular lawn mower is on sale at two different stores the original price at both stores was $130. Watson’s garden shop is a
matrenka [14]

Answer:

Watson's garden shop has the better deal on the lawn mower.

Hope this helped :)

Step-by-step explanation:

Watson's $130 - 50% = $65

Hartman's $130 - 40% = $78

                  $78 - 15% = About $66

4 0
3 years ago
Read 2 more answers
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