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Ms. Wilson surveyed her class of 36 students about their favorite ice cream flavors.

ruslelena [56]

Answer:

1 student.

Step-by-step explanation:

Two thirds of the students preferred chocolate ice cream:

2/3 of 36 is 24 students.

One fourth of the students preferred strawberry ice cream:

1/4 of 36 is 9.

9+24= 35

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36-35=1

Only one student preferred vanilla ice-cream.

7 0

2 years ago

Read 2 more answers

Which go with which

katrin2010 [14]

Answer:

There are 88 adults and 132 children

Step-by-step explanation:

5 0

3 years ago

A family owns two businesses that made a combined profit of $$$10 million in the previous financial year, with business B making

Archy [21]

Answer:

The equation to find the profit made by business combined is $x+4x = 10$ .

Business A made $2 million profit and Business B made $8 million profit.

Step-by-step explanation:

Given:

Profit made in previous financial year = $10 million

We need to write an equation to find the profit made by the business.

Solution:

Let the profit (in millions) made by business A be 'x'.

Let the profit (in millions) made by business B be 'y'.

Now given:

business B making 4 times as much profit as business A.

so we can say that;

$y =4x$

Now we know that;

Profit made in previous financial year is equal to sum of profit (in millions) made by business A and profit (in millions) made by business B.

framing in equation form we get;

$x+y =10\ million$

Substituting the value of y in above equation we get;

$x+4x = 10$

Hence The equation to find the profit made by business combined is $x+4x = 10$ .

On Solving above equation we get;

$5x =10\\\\x =\frac{10}{5} = \$2 \ million$

profit (in millions) made by business A = $\$2 \ million$

profit (in millions) made by business B = $4x =4\times 2 =\$8 \ million$

Hence Business A made $2 million profit and Business B made $8 million profit.

8 0

3 years ago

PLEASE HELP I REALLY DONT UNDERSTAND HOW TO DO THESE QUESTIONS!!!!! THANK YOU I APPRECIATE YOU!!!!

liraira [26]

Answer:

a) $42,580

b) $43,900

Step-by-step explanation:

Recall, "mode" refers to the value which occurs most frequently.

In this case, the question says that there are 2 modes,

this means $34,000 and $50,500 both share the spot for the most frequently appearing salary.

because there are only 5 employees (and hence 5 salaries), the only possible way that there are two modes is if there are two of each mode, leaving only the last salary unknown.

i.e if we list the 5 salaries (in no particular order)

$34,000 $34,000 $50,500 $50,500 $ x

where x is the 5th unknown salary.

Given that the mean is $42,100

Then (34,000 + 34,000 + 50,500 + 50,500 + x) / 5 = 42,100

solving for x gives x = $41,500

Now we know all the values, we can rearrange them in increasing value:

$34,000 $34,000 $41,500 $50,500 $50,500

from this, we can see that the median salary is $41,500

Given that the median salary gets a $2400 raise,

the new median salary = $41,500 + $2400 = $43,900 (Ans for part b)

new mean salary,

= ($34,000 + $34,000 + $43,900 + $50,500 + $50,500 ) / 5

= $42,580 (answer for part a)

4 0

3 years ago

Write a polynomial function f of least degree that has rational coefficients, a leading coefficient of 1, and the zeros −3 and 5

love history [14]

Answer:

f(x) = x² (2+i)x-15-3i

Step-by-step explanation:

Since the zeros of the equation are -3 and 5+i, hence the factors of the polynomial in x is (x+3) and (x-(5+i))

Multiplying both factors

f(x) = (x+3)(x-(5+i))

f(x) = (x²-(5+i)x+3x -3(5+i))

f(x) = x² - (5+i- 3)x -15-3i

f(x) = x² (2+i)x-15-3i

hence the required polynomial function in x is f(x) = x² (2+i)x-15-3i

7 0

3 years ago