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2 years ago

Estimate the sum 11 3/8 + 9 7/10 + 21 1/4 by rounding each mixed number to the nearest whole number. Then find the exact sum

1 answer:

3 0

Answer:
Approximately 42.
Exact sum is 42 13/40.

Explanation:
Estimate 11 3/8: 11
Estimate 9 7/10: 10
Estimate 21 1/4: 21
Add them together: 42.

11.375 + 9.7 + 21.25 = 42.325
I made them into decimals and then will convert it into fraction.
42.325 = 42 13/40

Hope this helps!

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Almost all medical schools in the United States require students to take the Medical College Admission Test (MCAT). To estimate

Leviafan [203]

Answer:

Probability of having student's score between 505 and 515 is 0.36

Given that z-scores are rounded to two decimals using Standard Normal Distribution Table

Step-by-step explanation:

As we know from normal distribution: z(x) = (x - Mu)/SD

where x = targeted value; Mu = Mean of Normal Distribution; SD = Standard Deviation of Normal Distribution

Therefore using given data: Mu (Mean) = 510, SD = 10.4 we have z(x) by using z(x) = (x - Mu)/SD as under:

In our case, we have x = 505 & 515

Approach 1 using Standard Normal Distribution Table:

z for x=505: z(505) = (505-510)/10.4 gives us z(505) = -0.48

z for x=515: z(515) = (515-510)/10.4 gives us z(515) = 0.48

Afterwards using Normal Distribution Tables and rounding the values to two decimals we find the probabilities as under:

P(505) using z(505) = 0.32

Similarly we have:

P(515) using z(515) = 0.68

Now we may find the probability of student's score between 505 and 515 using:

P(505 < x < 515) = P(515)-P(505) = 0.68 - 0.32 = 0.36

PS: The standard normal distribution table is being attached for reference.

Approach 2 using Excel or Google Sheets:

P(x) = norm.dist(x,Mean,SD,Commutative)

P(505) = norm.dist(505,510,10.4,1)

P(515) = norm.dist(515,510,10.4,1)

Probability of student's score between 505 and 515= P(515) - P(505) = 0.36

Download pdf

6 0

2 years ago

Thomas brings over 1/2 of his marble collection. He divides these marbles equally among 3 friends. What fraction of Thomas's ent

aleksley [76]

Answer:

Each of the three friends will get one-sixth of the Thomas's enitre marble collection.

Step-by-step explanation:

Fraction of the total marble collection brought by Thomas = $\frac{1}{2}$

Now, Thomas divides these marbles equally among his three friends. So, each of the three friends will get one-third of the total marble collection brought by Thomas.

Fraction of total marble collection got by each friend = $\frac{1}{3} \;of\;fraction\;of\;total\;marble\;collection\;brought\;by\;Thomas$

= $\frac{1}{3}\times\frac{1}{2}=\frac{1}{6}$

∴ Each of the three friends of Thomas will get one-sixth of his entire collection of marbles.

7 0

2 years ago

Mystery question A=8+8 B= A-7 A=16 B=

frosja888 [35]

Answer:

Step-by-step explanation:

It's given that A = 16. It shows that B = A-7, so that would mean B is 16-7, which is 9.

4 0

2 years ago

I keep believing the answer is either 18,000 or 1,800 but im incorrect. Can someone please help me?? I use the formula A^2 *2*A*

Yuri [45]

The base is a square, so the area of the square is (10 cm)² = 100 cm²

To find the area of each triangle use the formula

base • height

10 cm • 9 cm = 90 cm²

now multiply by the number of triangles

90 cm • 4 = 360 cm²

Add the area of the square:

100 cm² + 360 cm² = 460 cm²

I hope it's correct

4 0

1 year ago

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Help no time<br> pls<br><br><br> ————

liberstina [14]

Answer:

A. {3,4}

Step-by-step explanation:

In order to find the x values which would make the entire function undefined, you would have to factor the bottom equation. Factoring x^2+7x+12 gives you (x+3)(x+4). If you set each of these equal to 0, you end up with the x values being 3 and 4.

8 0

2 years ago

Read 2 more answers