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rusak2 [61]
3 years ago
5

PLEASE HELP. Solve for x

Mathematics
1 answer:
sergejj [24]3 years ago
6 0

Answer:

x=8

Step-by-step explanation:

set up a proportion:

\frac{20}{4}=\frac{4x-7}{5}

simplify:

5 =\frac{4x-7}{5}

now solve this equation for x:

5 = \frac{4x-7}{5} \\25 = 4x - 7\\32 = 4x\\x = 8

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Mrs. Daly's reading classes were surveyed about their reading preferences. The data is summarized in the table below.
andriy [413]

Answer:

Required probability is 0.19

Step-by-step explanation:

The two-way table for the given data is,

                              Fiction                Non-Fiction                Total

9th grade                35                            8                             43

10th grade               52                            12                           64

Total                        87                            20                           107

It is required to find the probability of the students who prefer to read non-fiction novels, given that they are in 9th grade.

That is, to find the conditional probability P(Non-fiction| 9th\ grade).

Now, P(A|B)=\dfrac{P(A\bigcap B)}{P(B)}

So, we get,

P(Non-fiction| 9th\ grade)=\dfrac{(Non-fiction\bigcap 9th\ grade)}{P(9th\ grade)}\\\\P(Non-fiction| 9th\ grade)=\dfrac{8}{43}\\\\P(Non-fiction| 9th\ grade)=0.19

<h3>Thus, the required probability is 0.19.</h3>
5 0
3 years ago
Harrison has $9.30 in his coin collection all in pennies and dimes the number of dimes is three times the number of pennies how
Vsevolod [243]

Answer:

Number of Pennies = 30

Number of Dimes = 90

Step-by-step explanation:

Let the number of pennies be p and number of dimes be d

We can write 2 equations and use substitution method to solve.

<u>Total value of all the coins is 9.30:</u>

We can write:

0.01p + 0.1d = 9.30

Note: value of penny is 0.01 and dime is 0.1, in dollars

<u>Number of dimes is 3 times number of pennies:</u>

We can write:

d = 3p

Now putting 2nd equation in first and solving for p:

0.01p + 0.1(3p) = 9.30

0.01p + 0.3p = 9.30

0.31 p = 9.30

p = 9.30 /0.31

p = 30

Now we know d = 3p, so d = 3 (30) = 90

Hence

Number of Pennies = 30

Number of Dimes = 90

5 0
3 years ago
What is the value of x?
Gnoma [55]

Answer:

58

Step-by-step explanation:

alaphabet u right

4 0
3 years ago
A triangle with sides lengths of 17, 21, and 10. is this a right triangle?
USPshnik [31]
Use Pythagorean thrm
17^2+10^2=21^2
289+100=441
389≠441
This is not a right triangle
3 0
3 years ago
What is the answer of 4x if x=2
Semmy [17]

Answer:

8

Step-by-step explanation:

4(x)

4(2)

8

3 0
3 years ago
Read 2 more answers
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