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Natalka [10]
3 years ago
8

Find variable y : -90=5y-20

Mathematics
1 answer:
NeTakaya3 years ago
7 0

-90= 5y-20

-90+20= 5y-20+20

-70=-5y

-70/-5= -5y/-5

y= 14

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A value meal package at Ron's Subs consists of a drink, a sandwich, and a bag of chips. There are 4 types of drinks to choose fr
sasho [114]

Answer:

60 different meal packages are possible.

Step-by-step explanation:

Fundamental counting principle:

States that if there are p ways to do a thing, and q ways to do another thing, and these two things are independent, there are p*q ways to do both things.

In this question:

4 types of drinks

5 types of sandwiches.

3 types of chips.

They are independent events, so, by the fundamental counting principle:

4*5*3 = 60

60 different meal packages are possible.

7 0
3 years ago
PLs help asap :( i have no idea how to do sigma notation
svet-max [94.6K]

The correct answer is C

Sigma Notation is when we take all of the whole numbers between the starting point (which can be found as the number under the sigma sign) and the end number (which can be found above the sigma sign). Therefore, we will add together all of the values of 3k + 2 for when k is equal to all of the numbers between 2 and 7. So, let's evaluate each one first.

When k = 2

3(2) + 2 = 8

When k = 3

3(3) + 2 = 11

When k = 4

3(4) + 2 = 14

When k = 5

3(5) + 2 = 17

When k = 6

3(6) + 2 = 20

When k = 7

3(7) + 2 = 23

So we know we have the following.

8 + 11 + 14 + 17 + 20 + 23

Now for the number after the comma, we are just looking for the answer of them all added together. So the final answer should be

8 + 11 + 14 + 17 + 20 + 23, 93


6 0
3 years ago
The area of a rectangle is 38.25 square yards and its base is 9 yards. What is the height? Do not round your answer.
Romashka [77]

Answer:

4.25 yards

Step-by-step explanation:

Area of rectangle = Base x Height

or

Height = Area of Rectangle ÷ Base

In this case, Area =38.25 sq yards and Base = 9 yards

Height = 38.25 ÷ 9 = 4.25 yards

3 0
3 years ago
Read 2 more answers
Find the circumference of the circle below to the nearest tenth Use 3.14 for a
AnnyKZ [126]

Answer:

125.6

Step-by-step explanation:

all you have to do is multiple the 3.14 with 40 cm to get 125.6 cm

8 0
2 years ago
A football team has a probability of .75 of winning when playing any of the other four teams in its conference. If the games are
Alexeev081 [22]

Answer:

0.3164 = 31.64% probability the team wins all its conference games

Step-by-step explanation:

For each conference game, there are only two possible outcomes. Either the team wins it, or they lose. The probability of winning a game is independent of any other game. This means that the binomial probability distribution is used to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

In which C_{n,x} is the number of different combinations of x objects from a set of n elements, given by the following formula.

C_{n,x} = \frac{n!}{x!(n-x)!}

And p is the probability of X happening.

A football team has a probability of .75 of winning when playing any of the other four teams in its conference.

The probability means that p = 0.75, and four games means that n = 4

If the games are independent, what is the probability the team wins all its conference games?

This is P(X = 4). So

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

P(X = 4) = C_{4,4}.(0.75)^{4}.(0.25)^{0} = 0.3164

0.3164 = 31.64% probability the team wins all its conference games

4 0
3 years ago
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