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Kitty [74]
3 years ago
6

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

Mathematics
1 answer:
alina1380 [7]3 years ago
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

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2 (t + 1) = 10 <br> SOLVE FOR T
Viefleur [7K]
T = 4

divide each term by 2 and simplify

2(t+1)/2 = 10/2

t+1 = 10/2

t+1=5

t=5-1

t=4
8 0
3 years ago
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mrs jones gave 1/5 of a cake to her neighbour. she then sliced the remainder into 3 pieces for her 3 children, ken, ron and davi
Arturiano [62]

The fraction of the cake that was ron's pieces is 1/5.

<h3>What is the fraction of the cake was ron's pieces?</h3>

Ratio demonstrates how many times one number can fit into another number. Ratios contrast two numbers by ordinarily dividing them. A/B will be the formula if one is comparing one data point (A) to another data point (B).

Since Mrs Jones gave 1/5 of a cake to her neighbour, the remaining fraction will be:

= 1 - 1/5

= 4/5

The fraction of the cake that was ron's pieces will be:

= 2/(1+3+4) × 4/5

= 2/8 × 4/5

= 8/40

= 1/5

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4 0
11 months ago
If the area of a circle is 25 pi, find the length of an arc with a central angle of 240? Any help is appreciated please.
almond37 [142]

Answer:

11.81pi

Step-by-step explanation:

r^2=25pi

r=8.86

length=2pi(8.86)(240/360)

=17.72pi(2/3)

=11.81pi

6 0
3 years ago
A graduate school entrance exam has scores that are normally distributed with a mean of 560 and a standard deviation of 90. What
9966 [12]

26.8% of examinees will score between 600 and 700.

This question is based on z score concept.

A Z-score is a numerical measurement that describes a value's relationship to the mean of a group of values. Z-score is measured in terms of standard deviations from the mean. If a Z-score is 0, it indicates that the data point's score is identical to the mean score.

z={x-\mu  \over \sigma }

where:

μ is the mean

σ is the standard deviation of the population

Given:

μ = 560

σ = 90

For

600≤ X≤700

for x = 700

Z score =x - μ/σ

=(700 - 560)/90

      = 1.55556

P-value from Z-Table:

P(560<x<700) = P(x<700) - 0.5 = 0.44009

for x = 600

Z score =x - μ/σ

=(600 - 560)/90

      = 0.44444

P-value from Z-Table:

P(560<x<600) = P(x<600) - 0.5 = 0.17164

∴ P(600<x<700) = P(560<x<700) - P(560<x<600)

                           = 0.44009 - 0.17164

                          =0.26845

∴26.8% percentage of examinees will score between 600 and 700.

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4 0
1 year ago
Solve for x. -6 = x – 35
shepuryov [24]

Answer:

The answer is x=29

Step-by-step explanation:

-6 = x – 35

=-6+35=x-35+35

x=29

8 0
3 years ago
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