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Serjik [45]
2 years ago
6

Find the 15th term in the arithmetic sequence 7, 10, 13, 16, 19,... Question 4 options: 49 42 35 52

Mathematics
1 answer:
Ne4ueva [31]2 years ago
4 0

Answer:

49

Step-by-step explanation:

first you find the difference between the first two numbers so we do 10-7=3, then plug in 3 for the next 2 numbers 10+3=13, so we know our rule is +3 so now we do 3*14=42 then we do 7+42=49

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Help me! ELENA HAS 6 YARDS OF RIBBON IT TAKES 1/4 YARD OF RIBBON TO MAKE A BOW HOW MANY BOWS CAN SHE MAKE WITH THE RIBBON THAT S
astraxan [27]

Answer:

24 bows

Step-by-step explanation:

5 0
3 years ago
Consider two independent tosses of a fair coin. Let A be the event that the first toss results in heads, let B be the event that
aliina [53]

Answer with Step-by-step explanation:

We are given that two independent tosses of a fair coin.

Sample space={HH,HT,TH,TT}

We have to find that A, B and C are pairwise independent.

According to question

A={HH,HT}

B={HH,TH}

C={TT,HH}

A\cap B={HH}

B\cap C={HH}

A\cap C={HH}

P(E)=\frac{number\;of\;favorable\;cases}{total\;number\;of\;cases}

Using the formula

Then, we get

Total number of cases=4

Number of favorable cases to event A=2

P(A)=\frac{2}{4}=\frac{1}{2}

Number of favorable cases to event B=2

Number of favorable cases to event C=2

P(B)=\frac{2}{4}=\frac{1}{2}

P(C)=\frac{2}{4}=\frac{1}{2}

If the two events A and B are independent then

P(A)\cdot P(B)=P(A\cap B)

P(A\cap)=\frac{1}{4}

P(B\cap C)=\frac{1}{4}

P(A\cap C)=\frac{1}{4}

P(A)\cdot P(B)=\frac{1}{2}\cdot \frac{1}{2}=\frac{1}{4}

P(B)\cdot P(C)=\frac{1}{4}

P(A)\cdot P(C)=\frac{1}{4}

P(A)\cdot P(B)=P(A\cap B)

Therefore, A and B are independent

P(B)\cdot P(C)=P(B\cap C)

Therefore, B and C are independent

P(A\cap C)=P(A)\cdot P(C)

Therefore, A and C are independent.

Hence, A, B and C are pairwise independent.

6 0
3 years ago
2. The cost of a bicycle is * 2895. Find the cost of 1486 bicycles,
forsale [732]

Answer:

4,301,970

5,149,815

Step-by-step explanation:

The cost of a bicycle is 2895

Therefore the cost of 1486 bicycles is

= 2895×1486

= 4,301,970

A truck can carry 6785 kg of food

Therefore the amount in which 759 truckj can carry can be calculated as follows

= 6785×759

= 5,149,815

7 0
2 years ago
Suppose you Just purchased a used truck. The number of miles on the odometer can be represented by the equation y = x + 40, 000,
igor_vitrenko [27]

Answer: f(x)= x+40000

Step-by-step explanation:

We write a function f(x) which gives the values of the function that are dependent on the independent variable "x".

Given: The number of miles on the odometer can be represented by the equation y = x + 40, 000, where y is the number of miles on the odometer, and x is the number of miles you have driven it.

Here y is dependent on x, so we replace y by f(x), then we get

f(x)= x+40000   which is the required answer.

8 0
3 years ago
At Supply World, 4 pens cost $10.00. How much do 3 pens cost if the price per pen is the same?
Romashka-Z-Leto [24]

Answer:

$7.50

Step-by-step explanation:

3 0
3 years ago
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