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2 years ago

Solve Diego's equation: x + 35 =180 x =

Mathematics

2 answers:

Irina18 [472]2 years ago

3 0

Answer:

x=145

Step-by-step explanation:

simply subtract 35 from both sides, so you can isolate the variable. once done, you will get that x=145

Bingel [31]2 years ago

3 0

Answer:

The answer is 215.

Step-by-step explanation:

When you add it, it equals 215

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The cost of a New York Yankee baseball cop is $24,00. The local sporting goods store

7nadin3 [17]

Answer:

$30

Step-by-step explanation:

6 0

3 years ago

Read 2 more answers

Look at the sample space below.

Jobisdone [24]

Answer:

There are 10 odd numbers: {1, 3, 5, 7, 9, 11, 13, 15, 17, 19} There are 4 factors of 8: {1, 2, 4, 8} There is 1 number in both lists: {1} Probability of an odd or a factor of 8 = (10 + 4 - 1)/20 = 13/20

5 0

2 years ago

Suppose that E and F are two events and that N(E and F)=300 and N(E)=730. What is P(F|E)?

marin [14]

Answer:

$\displaystyle\frac{30}{73}$

Step-by-step explanation:

The formula of conditional probability is:

$\displaystyle P(F|E)=\frac{P(E \cap F)}{P(E)}$

And if we called N(U) the total number of possible outcomes, then remember by definition of probability:

$\displaystyle P(E \cap F)=\frac{N(E \cap F)}{N(U)}\\\displaystyle P(E)=\frac{N(E)}{N(U)}$

Then plugging them into the formula of conditional probability we get:

$\displaystyle P(F|E)=\frac{\frac{N(E \cap F)}{N(U)}}{\frac{N(E)}{N(U)}}$

Then we simplify and we get:

$\displaystyle P(F|E)=\frac{N(E \cap F)}{N(E)}$

We just plug the given info and we get:

$\displaystyle P(F|E)=\frac{300}{730}=\frac{30}{70}$

3 0

3 years ago

How many integers between 10 and 60, inclusive, can be evenly divided by neither 2 nor 3?

erastovalidia [21]

Find total number of integers.

$a_1=10,a_n=60,d=1 \\a_n=a_1+(n-1)d \\60=10+(n-1)1 \\n-1=50 \\n=51$

Find how many integers is divisible by 2.

$a_1=10,a_n=60,d=2
\\a_n=a_1+(n-1)d
\\60=10+(n-1)2
\\2(n-1)=50
\\n-1=25
\\n=26$

Eliminate even numbers.

11, 13, 15,..., 57, 59

This array contains 51 - 26 = 25 numbers.

Eliminate numbers before the first number divisible by 3 and after the last number divisible by 3.

15, 17, 19,..., 55, 57

This array contains 25 - 3 = 22 numbers.

Now we should eliminate numbers divisible by 3: 15, 21, 27...

$a_1=15,a_n=57,d=6,n=?
\\a_n=a_1+(n-1)d
\\57=15+(n-1)6
\\6(n-1)=42
\\n-1=7
\\n=8$

There are 8 such numbers.

Therefore, there are 25 - 8 = 17 numbers that <span>can be evenly divided by neither 2 nor 3</span>

6 0

3 years ago

Justify your reasoning when solving the equation: 3(x+4)=8x-18

vampirchik [111]

Answer:

Step-by-step explanation:

3x plus 12= 8x -18

subtract twelve on both sides:

3x= 8x- 30

minus 8x on both sides:

-5= -30

divide:6

3 0

2 years ago