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nasty-shy [4]
3 years ago
14

To gather data involving their classmates, 50 fourth graders each filled out a personal information survey sheet. In the categor

y of pets, 22 students had a cat, 17 students had a dog, and 9 students had both a dog and a cat. If a student is randomly selected from this class, what is the probability the student will have a dog or a cat
Mathematics
1 answer:
Sveta_85 [38]3 years ago
5 0

Answer:

0.60

Step-by-step explanation:

In the category of pets

22 students had a cat = P(C)

17 students had a dog = P(D)

9 students had both a dog and a cat = P(C and D)

The formula to find the Probability of two events =

P(C or D) = P(C) + P(D) - P(C and D)

P(cat or dog) = P(cat) + P( dog) - P(cat and dog)

P(cat or dog) = 22/50 + 17/50 - 9/50

P(cat or dog) = 0.44 + 0.34 - 0.18

P(cat or dog) = 0.60

The probability the student will have a dog or a cat is 0.60

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What is the answer to 4x-5=x-23<br> need step by step explanation
Grace [21]

Answer:

x=−6

Step-by-step explanation:

4x−5=x−23

Step 1: Subtract x from both sides.

4x−5−x=x−23−x

3x−5=−23

Step 2: Add 5 to both sides.

3x−5+5=−23+5

3x=−18

Step 3: Divide both sides by 3.

3x /3=-18/3

x=-6

8 0
3 years ago
A man earned wages of ​$51500​, received ​$2500 in interest from a savings​ account, and contributed ​$4000 to a​ tax-deferred r
IRISSAK [1]

Answer:

Gross income=$54000

Adjusted gross income = $50000

Taxable income= $33700

Step-by-step explanation:

Step 1.

First we have to find his gross income:

The gross income consists of the total income of the man which is the wages and the interest from his savings account

Gross income = 51,500 + 2,500 = $54,000

Therefore his gross income is $54,000

Step 2.

Now we determine person's adjusted gross income

according to the question the contributed amount is $4,000

To calculate the adjusted gross income we use the formula:

Adjusted gross income = Gross income - Adjustment

Therefore $54,000 - $4,000 = $50,000

Hence his adjusted gross income is $50,000

step 3.

Now we determine person's taxable income

according to the question his personal exemption is $4050 and a standard deduction is $5950.

Now we calculate the itemized deduction by using this formula:

Itemized deduction = Interest on home mortgage + Taxes from state + Contribution to charity

= $8100 + $1450 + $2700

= $12,250

Here the itemized deduction is greater than the standard deduction.

So take the itemized deduction in the following formula for deductions.

Taxable income = Adjusted gross income - (Exemption + Deduction)

= $50,000 - ($4050 + $12250)

= $50,000 - ($16,300)

= $33,700

Hence the taxable income is $33,700.

8 0
3 years ago
suppose y varies directly with x and y=5 when x=20. Write a direct variation equation then find the value of x when y=3/2
jek_recluse [69]
X=k*Y
K*Y=X
K=X/Y
K=20/5
K=4

For Y=3/2
X=k*3/2
X=4*3/2
X=6
6 0
4 years ago
Wich one? a? b? c? d?
Doss [256]

Answer:

I don't know but plz make me brainliest

8 0
3 years ago
Read 2 more answers
Choose all of the expressions that are equivalent to 3(4x + 3).
torisob [31]

Answer:

12x+9

Step-by-step explanation:

3(4x + 3)

Expand the brackets.

3(4x)+3(3)

Multiply.

=12x+9

5 0
3 years ago
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