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2 years ago

100 students are interviewed to see which of biology, chemistry or physics they prefer.

Mathematics

1 answer:

Anna11 [10]2 years ago

8 0

Answer: 41%

Step-by-step explanation:

15 girls prefer biology.

Find the boys who prefer biology;

There are 36 girls in total so;

= 100 - 36

= 64 boys interviewed

14 boys prefer Physics

= 64 - 14

= 50 boys prefer Biology and Chemistry

7 out of the 31 who prefer chemistry are girls so the boys who prefer chemistry are;

= 31 - 7

= 24 boys

Boys who prefer Biology;

= 50 - 24

= 26 boys

Total who prefer biology;

= 15 girls + 26 boys

= 41 students

Percentage = 41/100 = 41%

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I need help in this section.

Phoenix [80]

Answer:

$\frac{1}{45}$

Step-by-step explanation:

There are

2 yellow

3 magenta

5 blue

marbles in the bag.

So total of 2 + 3 + 5 = 10 marbles

We have to multiply the probability of yellow on first pick by the probability of yellow on second pick (WITHOUT REPLACEMENT).

We denote P(Y1) as probability of yellow on first draw &

P(Y2) as probability of yellow on second draw

Thus,

P(Y1) = 2/10 = 1/5 [since 2 yellow and 10 total marbles]

Now,

P(Y2) = 1/9 [since now 1 yellow is taken out and NOT replaced, so we have 1 yellow remaining and total 9 marbles]

Now, we multiply:

P(Y1) * P(Y2) = 1/5 * 1/9 = 1/45

The probability is $\frac{1}{45}$

6 0

3 years ago

g Z-Test for Population Means Calculate z-statistic of a population mean. Keith sampled 10 private universities in Colorado and

scoray [572]

Answer: 2.46

Step-by-step explanation:

Formula for x-score is given by :-

$Z=\dfrac{\overline{x}-\mu}{\dfrac{\sigma}{\sqrt{n}}}$

, where $\overline{x}$ = Sample mean , $\mu$ = population mean, $\sigma$ = population standard deviation, n= sample size.

As per given , n=10

$\mu$ = $29,056

$\sigma$ = $3,339

$\overline{x}$ = $31,650

Then,

$z=\dfrac{ 31650-29056}{\dfrac{3339}{\sqrt{10}}}\\\\=\dfrac{2594}{\dfrac{3339}{3.16227766017}}\\\\=\dfrac{2594}{1055.88451073}=2.45670807142\approx 2.46$

Hence, the z-score = 2.46

4 0

3 years ago

92% of what number is 253?

Romashka-Z-Leto [24]

Let, the number = x
Then, x * 92% = 253
x = 253 / 0.92 [ 92% = 0.92 ]
x = 275

In short, Your Answer would be 275

Hope this helps!

3 0

3 years ago

Can someone please help me? 100% sure please

Nataliya [291]

Part A

Distribute the one-half.

1.24g + 0.87m + 0.98z

Part B

(29.68 - x) + 14.45

Or simplified to 44.13 - x

Part C

a = number of times at the store
b = gloves' price
c = hat's price

6 0

3 years ago

Read 2 more answers

The price of a bicycle was decreased by 40% to £96. What was the price before the decrease?The price of a computer was decreased

Mkey [24]

The first one would be $160 and the second one would be $525

6 0

3 years ago