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Flura [38]
3 years ago
6

Sue took a test in both biology and math last week. The biology test had a mean of 70 and a standard deviation of 7 whereas the

math test had a mean of 75 and a standard deviation of 10. Sue scored a 76 on the biology test and a 76 on the math test. On which test did she do better in comparison to the rest of the class?​Select one:a. she did the same on each testb. the math testc. the biology testd. cannot be determined
Mathematics
1 answer:
Anna [14]3 years ago
6 0

Answer:

c. the biology test

Step-by-step explanation:

To answer this problem we need to calculate the z-score of both tests, using the formula:

z = (x - μ) / σ

Where x is Sue's score, μ is the mean, and σ is the standard deviation.

  • For the <u>biology test</u>, the z-score is:

z = (76 - 70) / 7 = 6/7 = 0.857

  • For the <u>math test</u>, the z-score is:

z = (76 - 75) / 10 = 1/10 = 0.100

Because the z-score for the biology test is greater than the z-score for the math test, Sue did better in the biology test, in comparison to the rest of the class.

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A wildlife shelter is home to birds, mammals, and reptiles. If cat chow is sold in 30 lb bags, what is the least number of bags
kotykmax [81]

Answer:

26 bags

Step-by-step explanation:

A bag of cat chows = 30 lbs

Amount of cat chows needed in a week = 15 lbs = ½ bag of cat chow

There are at least 52 weeks in a year.

The least number of cat chows bags needed at the shelter in 1 year = 52 weeks × ½ bag of chow

= 52 × ½

= 52/2

= 26 bags of cat chow

At least, 26 bags would be needed in 1 year (52 weeks) at this wild life shelter if 15 lbs is consumed weekly.

4 0
3 years ago
Read 2 more answers
What's the probability of pulling two red cards in a row from a deck of cards?​
monitta

Hey there! I'm happy to help!

Let's say that we don't have jokers. In that case, there are 52 cards, and half of them are red (so 26 are red). The probability of pulling a red card once is 1/2 since half the cards are red.

If we pick one out, there are only 51 total cards left and 25 red cards. So, the probability of picking one again would be 25/51.

We multiply the probabilities of these two events to find the probability of them both happening.

1/2×25/51=25/102

The probability of picking two red cards in a row is 25/102 or around 24.5%.

Have a wonderful day! :D

8 0
3 years ago
Liam has 12 red balloons and 14 blue balloons. He puts all of his balloons in 2
777dan777 [17]

Answer:

I think it's 26. I think soooo

7 0
3 years ago
The population of a town is increasing at a rate of 6.2% per year. The city council believes they will have to add another eleme
kow [346]

Answer:

The correct solution is "4.6".

Step-by-step explanation:

Given:

Interest rate,

r = 6.2%

or,

 = 0.062

Amount,

A = 100000

Principle,

P = 76000

As we know,

⇒ A=P(1+\frac{r}{100} )^n

On substituting the values, we get

⇒ 100000=76000(1+\frac{6.2}{100} )^n

⇒ (1+0.062)^n=\frac{100}{76}

On taking log both sides, we get

⇒ n \ log_e(1.062)=log_e(\frac{100}{76} )

⇒                   n=\frac{ln(\frac{100}{76} )}{ln(1.062)}

By putting the values of log, we get

⇒                      =4.5622

or,

⇒                      =4.6

5 0
3 years ago
What is the answer for y=2x-5 and 4x-y=7
Dvinal [7]
Substitute the first equation into the second equation. You will get:

4x - (2x - 5) = 7

Distribute the negative sign into the parenthesis:

4x - 2x + 5 = 7

Simplify

2x + 5 = 7

Subtract 5 on both sides

2x = 2

x = 1

Now, substitute x = 1 into the first equation:

y = 2(1) - 5

y = 2 - 5

y = -3


The solution to the system of equations is (1, -3).
4 0
3 years ago
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