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MrRa [10]
3 years ago
15

There is a bag with only red marbles and blue marbles.

Mathematics
1 answer:
natulia [17]3 years ago
6 0

Answer:

There must be 35 red marbles.

Step-by-step explanation:

This question can be solved using a rule of three.

A probability is the number of desired outcomes divided by the number of total outcomes.

The probability of randomly choosing a red marble is 7/9.

This means that for each set of 9 marbles, 7 must be red.

There are 45 marbles in total in the bag and each is equally likely to be chosen. Work out how many red marbles there must be.

How many red marbles out of 45?

7 red - 9 marbles

x red - 45 marbles

9x = 45*7

Simplifying by 9

x = 5*7

x = 35

There must be 35 red marbles.

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Determine the values of the variables in the parallelograms below help me please
PolarNik [594]

Answer:

Part 1)

x=-11

m=170\°

Part 2)

x=-5, x=1

m=-10, m=14

Step-by-step explanation:

we know that

In a parallelogram opposite sides and opposite angles are congruent, and consecutive angles are supplementary

Part 1)

<u>Find the value of x</u>

25=-3x-8 ----> opposite sides are congruent

solve for x

25=-3x-8

3x=-8-25

x=-33/3=-11

<u>Find the value of m</u>

(70+(m-60))=180\° ----> consecutive angles are supplementary

solve for m

m=180\°-10\°=170\°

Part 2)

<u>Find the value of x</u>

5=x^{2}+4x ---> opposite sides are congruent

using a graphing tool

see the attached figure N 1  

The solutions are

x=-5, x=1

<u>Find the value of m</u>

(m^{2}-4m)=140\° ---> opposite sides are congruent

solve for m

using a graphing tool

see the attached figure N 2  

The solutions are  

m=-10, m=14

8 0
3 years ago
Consider a political discussion group consisting of 4 ​Democrats, 4 ​Republicans, and 5 Independents. Suppose that two group mem
kumpel [21]

steps:
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Your sample size is 10 and your confidence is 90%. What is your t-score?
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Answer:

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Step-by-step explanation:

Hope this helps!

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Step-by-step explanation:

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