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1 year ago

What is the value of the expression 9+4n-1 when n = 3?

1 answer:

6 0

Answer: 9+4n-1 = 20

We can solve this by substitution.
Replace n with the value given, 3 (remember 4n means 4 times n):
9 + 4*3 - 1
Then work it out using arithmetic
9+12-1
=20

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You spin each spinner once. You get $50 if you spin a 2 and a vowel. You get $25 if you spin a 2 and a consonant. You get $5 if

Tom [10]

The expected value of the game is $8.75.

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The expected value is the <u>sum of each outcome multiplied by it's probability</u>.
A probability is the <u>number of desired outcomes divided by the number of total outcomes</u>.

The probability of spinning a 2 and a vowel is: $\frac{1}{4} \times \frac{2}{8} = \frac{2}{32}$ .
Thus, $\frac{2}{32}$ probability of getting $50.

The probability of spinning 2 and a consonant is: $\frac{1}{4} \times \frac{6}{8} = \frac{6}{32}$

Thus, $\frac{6}{32}$ probability of getting $25.

The probability of spinning 1 and a vowel is: $\frac{3}{4} \times \frac{2}{8} = \frac{6}{32}$ .
Thus, $\frac{6}{32}$ probability of getting $5.

32 - (6 + 6 + 2) = 18, thus, $\frac{18}{32}$ probability of earning $0.

The expected value is:

$E = \frac{2}{32}(50) + \frac{6}{32}(25) + \frac{6}{32}(5) + \frac{18}{32}(0)$

$E = \frac{100 + 150 + 30}{32}$

$E = \frac{280}{32}$

$E = 8.75$

The expected value of this game is of $8.75.

A similar problem is given at brainly.com/question/24961584

8 0

2 years ago

Question in the photo

leva [86]

Step-by-step explanation:

The scale factor is 12/6 = 10/5 = 2.

7 0

2 years ago

Read 2 more answers

There are 12 students in a classroom, including the triplets joey, chloe, and zoe. If 3 of the 12 are randomly selcted to give s

BARSIC [14]

The probability of Joey being first is 1/12. If that happens the probability of Chloe going next is 1/11. Then the probability of zoe being picked next would be 1/10. Then if you multiply all the fractions I gave you you would get 1/1320 which is A. So A. Is your answer!! Hope this helps you out!!

8 0

3 years ago

Read 2 more answers

Lupita rides a taxi that charges a flat rate of $6.75 plus $3.20 per mile. If the taxi charges Lupita $40.03 in total for her tr

Alex777 [14]

Hello! In order to understand this question, we need to take a look at the content that is involved.

Lupita pays $40.03 in total. Meaning that's where we are going to start if we want to find out how many miles her ride was. Since the taxi charges a flat rate of $6.75. We would want to subtract it from her total value because we only work with that flat rate once. Which ends up giving us $33.28. From there, we don't need to worry about the flat rate anymore and we now focus on the mileage. If it costs $3.20 per mile, then we can simply divide the amount after to flat rate by the cost per mile, to figure out how many miles she has gone. In the end, you will get 10.4 miles.

8 0

2 years ago

Lisa spends 1/5 of an hour doing her math homework and 1/3 of an hour doing her social studies homework. What fraction of an hou

Sveta_85 [38]

To solve this, all you have to do is add 1/5 and 1/3.
Well, you might be thinking, "But the denominators are not the same! Fractions have to have like denominators in order to be added together!" And you are right. So, all we have to do, is make them both have the same denominator. To do this, we have to multiply both the numerator and denominator by the same number to find an equivalent fraction.
For 1/5, we can multiply both the numerator and denominator by 3, to get 3/15.
Likewise, we can multiply both the numerator and denominator of 1/3 by 5, to get 5/15.
Now, you can easily add 3/15 and 5/15 because all you have to do is add the numerators, because the denominators are the same!
3/15+5/15=8/15, so she spends 8/15 hour on her math and social studies homework.
Hope I helped!

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2 years ago