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2 years ago

What is 3 1/3 x 2 1/4 ?

2 answers:

8 0

$3 \frac{1}{3} \times 2 \frac{1}{4} \\ = \frac{(3 \times 3) + 1}{3} \times \frac{(2 \times 4) + 1}{4} \\ = \frac{9 + 1}{3} \times \frac{8 + 1}{4} \\ = \frac{10}{3} \times \frac{9}{4} \\ = \frac{90}{12} \\ = \frac{15}{2}$
The answer is 15/2 = 7.5

swat322 years ago

6 0

You need to change the mixed number into a improper fraction:

$3\dfrac{1}{3}=\dfrac{3\cdot3+1}{3}=\dfrac{10}{3}\\\\2\dfrac{1}{4}=\dfrac{2\cdot4+1}{4}=\dfrac{9}{4}\\\\3\dfrac{1}{3}\cdot2\dfrac{1}{4}=\dfrac{10}{3}\cdot\dfrac{9}{4}\\\\=\dfrac{5}{3}\cdot\dfrac{9}{2}=\dfrac{5}{1}\cdot\dfrac{3}{2}=\dfrac{15}{3}=7\dfrac{1}{2}=7.5$

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It's time for another financial calculator problem. A UCF student (who has not taken FIN 2100) decides that he really needs a la

AysviL [449]

Answer:

interest rate is 38.68 %

Step-by-step explanation:

Given data

installment = $60

time = 36 months = 36/12 = 3 years

principal = $1000

to find out

interest rate

Solution

we know student pay $60 for 36 months

so he pay total = 60 × 36 = 2160

total amount pay by student = $ 2160

so we can find interest rate by given formula

rate = (1/time)(amount/Principal - 1)

put the value time amount and principal here

rate = (1/3)(2160/1000 - 1)

rate = 0.386667

interest rate is 38.68 %

5 0

2 years ago

Find two numbers that multiply to -72 and add up to -1

Andrews [41]

Answer:

-8 and 9

Step-by-step explanation:

-8 x 9 = -72

and -8 + 9 = 1

7 0

2 years ago

How much times does 4 go into 236 division

Lilit [14]

4 goes into 200 fifty times.

4 goes into 36 nine times.

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Answer: 4 goes into 236 fifty nine times.

3 0

3 years ago

In a random sample of 300 attendees of a minor league baseball game, 182 said that they bought food from the concession stand. C

horrorfan [7]

Answer:

90% confidence interval for the proportion of fans who bought food from the concession stand

(0.5603,0.6529)

Step-by-step explanation:

Step(i):-

Given sample size 'n' =300

Given data random sample of 300 attendees of a minor league baseball game, 182 said that they bought food from the concession stand.

Given sample proportion

$p^{-} = \frac{x}{n} = \frac{182}{300} =0.606$

level of significance = 90% or 0.10

Z₀.₁₀ = 1.645

90% confidence interval for the proportion is determined by

$(p^{-} - Z_{0.10}\sqrt{\frac{p(1-p)}{n} } , p^{-} +Z_{0.10}\sqrt{\frac{p(1-p)}{n} })$

$(0.6066 - 1.645\sqrt{\frac{0.6066(1-0.6066)}{300} } ,0.6066+1.645\sqrt{\frac{0.6066(1-0.6066)}{300} })$

(0.6066 - 0.0463 ,0.6066 + 0.0463)

(0.5603,0.6529)

final answer:-

90% confidence interval for the proportion of fans who bought food from the concession stand

(0.5603,0.6529)

5 0

3 years ago

Is x - 8 a factor of the function f(x) = -2x3 + 17x2 - 64? Explain.

Oduvanchick [21]

we know that

If $(x-8)$ is a factor of the function $f(x)=-2x^{3}+17x^{2}-64$

then

$x=8$ is a root of the function f(x)

therefore

For $x=8$ the value of the function must be zero

Verify

Substitute the value of $x=8$ in the function

$f(8)=-2(8)^{3}+17(8)^{2}-64$

$f(8)=-2(512)+17(64)-64$

$f(8)=-1,024+1,088-64$

$f(8)=-1,088+1,088$

$f(8)=0$

therefore

the answer is

Yes, $(x-8)$ is a factor of the function f(x)

7 0

3 years ago

Read 2 more answers