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3 years ago

The sum of Paul and Steve's ages is 61. Steve is one year older than Paul. How old is Steve?

Mathematics

2 answers:

guapka [62]3 years ago

6 0

Answer:

62 year old is he is right

sasho [114]3 years ago

3 0

Answer:

Step-by-step explanation:

let the paul age be x

and steve age also be x+1

x+1+x=61

2x+1=61

2x=61-1

x=60/2

x=30

so steve is 31 years.

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Two of the most popular options on a certain type of new car are automatic transmission and built-in GPS. Suppose that 90% of al

padilas [110]

Answer:

0.95 = 95% probability that the next person to purchase this car will request at least one of automatic transmission or built-in GPS

Step-by-step explanation:

We solve this question treating these probabilities as Venn sets.

I am going to say that:

Event A: Requesting automatic transmission

Event B: Requesting built-in GPS

90% of all buyers request automatic transmission

This means that $P(A) = 0.9$

82% of all buyers request built-in GPS

This means that $P(B) = 0.82$

77% of all buyers request both automatic transmission and built-in GPS.

This means that $P(A \cap B) = 0.77$

What is the probability that the next person to purchase this car will request at least one of automatic transmission or built-in GPS

This is $P(A \cup B)$ , which is given by:

$P(A \cup B) = P(A) + P(B) - P(A \cap B)$

$P(A \cup B) = 0.9 + 0.82 - 0.77 = 0.95$

0.95 = 95% probability that the next person to purchase this car will request at least one of automatic transmission or built-in GPS

3 0

3 years ago

Please help!!

rusak2 [61]

ANSWER TO QUESTION 1

The set of natural numbers that are factors of 20 are natural numbers that divides 20 exactly without a remainder.

These natural numbers are;

{ $1,2,4,5,10,20$ }

Therefore the correct answer is D

ANSWER TO QUESTION 2

Given that the universal set U has elements

{ $1,2,3,4,5,6,7,8,9,10$ }

and the set P also has elements

{ $2,4,6,8,10$ }

The elements of P' are the elements that are in the universal set but are not in set P.

These elements are;

{ $1,3,5,7,9$ }

The correct answer is C

ANSWER TO QUESTION 3

The distance is given by the absolute value equation

$d=|130-25t|$

If the is 15 feet away then $d=15$

This implies that;

$15=|130-25t|$

We now split the absolute value sign to obtain,

$15=130-25t$

or

$-15=130-25t$

We now solve for t to obtain;

$15-130=-25t$

or

$-15-130=-25t$

$\frac{115}{25}=t$

or

$\frac{145}{25}=t$

This gives us

$4.6=t$

or

$5.8=t$

The correct answer is C

ANSWER TO QUESTION 4

Given

P={ $0,1,2,3,4,56,7,8,9$ }

and

V={ $2,4,6,810,1216,18,20$ }

P $\cap$ V={2,4,6,8}

P\V are elements in P only .

This means that we have to take out the elements of the intersection of the two sets from P.

P\V ={0,1,3,5,5,7,9}

The correct answer is B

ANSWER TO QUESTION 5

The correct answer is B.

In listing the elements of a set, we do not repeat the element. In order words we list only distinct elements.

Blueberry is repeating in both sets but we have to list it once.

ANSWER TO QUESTION 6.

The correct answer is 220

We were told that 250 play basket ball

If 120 play both sports, then

250-120=130

play only basketball

Now the number of people who play only baseball

$350-250=100$

But the number of people who play baseball

$120+100=220$

see diagram

7 0

3 years ago

Solve for s.<br> 8 - 48 = 3 + 13

SVETLANKA909090 [29]

Answer:

2.5

Step-by-step explanation:

8 -48 = 3 +13

*ADD 48 from each side(so -48+48=0 and 13+48=61)

8 = 3 +61

*Subtract from each side(so 3-3=0 and 8-3=5)

5 = 61

*Now u divide 5/5=1 and 61/5=2.5

3 0

4 years ago

Show the work please and thanks

sineoko [7]

Answer:40( fourty) is the answer

Step-by-step explanation:

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3 years ago

Estimate length using compensation

Murljashka [212]

What do you have to estimate?

5 0

3 years ago