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2 years ago

10

Can someone help me I need help with this question

1 answer:

malfutka [58]2 years ago

4 0

To find the difference of 5 1/8 and 2 1/5 I would first turn the mixed numbers into improper fractions. Therefore, I would have 41/8 - 11/5. Then, I would find a common denominator which would be 40. I would have 205/40 - 88/40 and I would end up with 117/40.

Can you please help me answer my question? I already asked it but it hasn't been answered. It is fro social studies: What were some accomplishments of Montezuma?

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A scientist inoculates mice, one at a time, with a disease germ until he finds 3 that have contracted the disease. If the prob

UkoKoshka [18]

Answer:

The probability that 8 mice are required is 0.2428.

Step-by-step explanation:

Given : A scientist inoculates mice, one at a time, with a disease germ until he finds 3 that have contracted the disease. If the probability of contracting the disease is two sevenths.

To find : What is the probability that 8 mice are required? The probability that that 8 mice are required is nothing ?

Solution :

Applying binomial distribution,

$P(X=r)=^nC_r p^rq^{n-r}$

Where, p is the probability of success $p=\frac{2}{7}$

q is the probability of failure q=1-p, $q=1-\frac{2}{7}=\frac{5}{7}$

n is total number of trials n=8

r=3

Substitute the values,

$P(X=3)=^8C_3 (\frac{2}{7})^3 (\frac{5}{7})^{8-3}$

$P(X=3)=\frac{8!}{3!5!}\times \frac{8}{343}\times (\frac{5}{7})^{5}$

$P(X=3)=\frac{8\times 7\times 6}{3\times 2\times 1}\times \frac{8}{343}\times \frac{3125}{16807}$

$P(X=3)=0.2428$

Therefore, the probability that 8 mice are required is 0.2428.

5 0

3 years ago

Jessica, Lauren and Kimmie were paid a total of $120 for babysitting in a ratio of 2:3:5. How much less did Jessica make than Ki

Tju [1.3M]

Answer:

Jessica makes $36 less than Kimmie

Step-by-step explanation:

Let

x -----> amount paid to Jessica

y ----> amount paid to Lauren

z ----> amount paid to Kimmie

we know that

$x+y+z=120$ ------> equation A

$\frac{x}{y}=\frac{2}{3}$

$x=\frac{2}{3}y$ -----> equation B

$\frac{y}{z}=\frac{3}{5}$

$z=\frac{5}{3}y$ -----> equation C

substitute equation B and equation C in equation A and solve for y

$\frac{2}{3}y+y+\frac{5}{3}y=120$

$\frac{10}{3}y=120$

$y=120(3)/10$

$y=36$

<em>Find the value of x</em>

$x=\frac{2}{3}(36)=24$

<em>Find the value of z</em>

$z=\frac{5}{3}(36)=60$

therefore

The amount paid to Jessica was $24

The amount paid to Lauren was $36

The amount paid to Kimmie was $60

To find out how much less Jessica did than Kimmie, subtract the amount paid to Jessica from the amount paid to Kimmie.

$\$60-\$24=\$36$

therefore

Jessica makes $36 less than Kimmie

7 0

2 years ago

I'm thinking of two numbers, 12 and another number. 12 and my other number have a GCF of 6 and a LCM of 36. What's the other num

mihalych1998 [28]

Answer:

As GCF is

6

and LCM is

36

, and one number is

12

other number is

6

×

36

12

=

6

×

3

36

1

12

=

18

Step-by-step explanation:

5 0

2 years ago

the least common denominator of two fractions is 12. if you add the two denominators, their sum 7. what are the denominators?

Varvara68 [4.7K]

3 and 4

3 x 4 = 12
3 + 4 = 7

8 0

3 years ago

Read 2 more answers

Can 45/9 be simplified?

sergiy2304 [10]

Answer:

yes to 5

Step-by-step explanation:

divide 45 by 9 and u get 5

3 0

2 years ago

Read 2 more answers