All categories

3 years ago

Find the 102nd term,given the first term and the common difference A1=52 and d=12

1 answer:

7 0

This is the concept of sequences, we are required to calculate for the 102nd term of the arithmetic sequence;
the nth term of the arithmetic sequence is given by:
nth=an+d(n-1)
where;
an=1st term
d=common difference
n=the nth term
thus, the 102nd term will be:
102nd=52+12(102-1)
=52+12*101
=1,264
The answer is 1,264

You might be interested in

How to solve -13=5(1 4m)-2m?

Paladinen [302]

First, you would multiply: -13 = 70m - 2m. Then, you subtract the like terms, which would be 70m - 2m: -13 = 68m. You are looking for what m is, so you would divide 68 on both sides: m = - 13 / 68. In math, people would usually like fractions more than decimals, but if you are looking for the decimal number, it would be m ≈ - 0.19.

6 0

3 years ago

Use the elimination method to solve the system of equations.Choose the correct ordered pair. - x + y = - 2 and 2 x - 3y = 4

Zolol [24]

Answer:(2,0) x=2,y=0

Step-by-step explanation:

Let's solve your system by elimination.

−x+y=−2;2x−3y=4

Multiply the first equation by 2,and multiply the second equation by 1.

2(−x+y=−2)

1(2x−3y=4)

Becomes:

−2x+2y=−4

2x−3y=4

Add these equations to eliminate x:

−y=0

Then solve−y=0 for y:

−y=0

−y/−1 =0/−1

(Divide both sides by -1)

y=0

Now that we've found y let's plug it back in to solve for x.

Write down an original equation:

−x+y=−2

Substitute0foryin−x+y=−2:

−x+0=−2

−x=−2(Simplify both sides of the equation)

−x/−1 = −2/−1

(Divide both sides by -1)

x=2

8 0

3 years ago

Helppppppppppppppppppppppppppppppppppppppppppppp

Kamila [148]

Answer:

the answer is 8,000

Step-by-step explanation:

5 0

3 years ago

Read 2 more answers

5. Suppose that a particular candidate for public office is in fact favored by p = 48% of all registered voters. A polling organ

mart [117]

Answer:

Probability that the sample proportion will be greater than 0.5 is 0.8133.

Step-by-step explanation:

We are given that the a particular candidate for public office is in fact favored by p = 48% of all registered voters. A polling organization is about to take a simple random sample of voters and will use the sample proportion to estimate p.

Suppose that the polling organization takes a simple random sample of 500 voters.

Let $\hat p$ = sample proportion

The z-score probability distribution for sample proportion is given by;

Z = $\frac{ \hat p-p}{\sqrt{\frac{\hat p(1-\hat p)}{n} } }$ ~ N(0,1)

where, $\hat p$ = sample proportion

p = population proportion = 48%

n = sample of voters = 500

The Z-score measures how many standard deviations the measure is away from the mean. After finding the Z-score, we look at the z-score table and find the p-value (area) associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X.

So, probability that the sample proportion will be greater than 0.5 is given by = P( $\hat p$ > 0.50)

P( $\hat p$ > 0.50) = P( $\frac{ \hat p-p}{\sqrt{\frac{\hat p(1-\hat p)}{n} } }$ < $\frac{0.50-0.48}{\sqrt{\frac{0.50(1-0.50)}{500} } }$ ) = P(Z < 0.89) = 0.8133

Now, in the z table the P(Z $\leq$ x) or P(Z < x) is given. So, the above probability is calculated by looking at the value of x = 0.89 in the z table which has an area of 0.8133.

Therefore, probability that the sample proportion will be greater than 0.50 is 0.8133.

6 0

3 years ago

If i started at 11:40 A.M. And my elapsed time was 5 hours and 20 minutes. What is my end time?

kiruha [24]

Answer:

5:00 pm

Step-by-step explanation:

11:00 + 5 is 4.00 so you'd be a 4:40 + 20 minutes, that ranks up another hour so its at 5:00 pm

3 0

3 years ago