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Arisa [49]
3 years ago
6

Write a recursive formula and an explicit formula for the following arithmetic sequence.

Mathematics
1 answer:
kakasveta [241]3 years ago
7 0

Answer:

 

Step-by-step explanation:

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F(x)=5(x-2) <br> find x if f(x)=-20
Lapatulllka [165]

Answer:

x = -2

Step-by-step explanation:

f(x)= 5(x-2)

since, f(x)= -20

-20 = 5(x-2)

x-2 = -20/5

x = - 4 + 2

x = -2

3 0
3 years ago
What is the solution to the equation?
dem82 [27]

Answer:what equation

Step-by-step explanation:

8 0
3 years ago
A survey of 1 comma 558 randomly selected adults showed that 522 of them have heard of a new electronic reader. The accompanying
sineoko [7]

Answer with explanation:

Let  p be the proportion of adults have heard of the new electronic reader.

Given claim : The accompanying technology display results from a test of the claim that 38​% of adults have heard of the new electronic reader.

i.e. p=0.38

Then , the set of hypothesis will be :-

H_0: p=0.38\\\\H_a:p\neq0.38

Since, the alternative hypothesis is two tailed , so the test is two-tailed test.

Also, it is given that the sample size : n=1558

Number of adults showed that they have heard of a new electronic reader=522

So the sample proportion for adults have heard of the new electronic reader : \hat{p}=\dfrac{522}{1558}\approx0.34



The test statistic for proportion is given by :-

z=\dfrac{\hat{p}-p}{\sqrt{\dfrac{p(1-p)}{n}}}\\\\\\\Rightarrow\ z=\dfrac{0.34-0.38}{\sqrt{\dfrac{0.38(1-0.38)}{1558}}}\\\\\\\Rightarrow\ z=-3.25279036541\approx-3.25

By using standard normal distribution table , the P-value for two tailed test corresponds to the obtained z-value ==0.0011541

6 0
3 years ago
Ving Advanced Linear Equations: Practice
Nastasia [14]

Answer:

In the first week, Micah bought 11 gallons of gas.

In the second week, Micah bought 8 gallons of gas.

Step-by-step explanation:

Given:

First week

x gallons of gas at $2.39 per gallon

x gallons = $2.39x

Second week

3 fewer gallons of gas than the first week at $2.49 per gallon

x - 3 gallons = $2.49(x-3)

Total spent = $46.21

$2.39x + $2.49(x-3) = $46.21

2.39x + 2.49x - 7.47 = 46.21

4.88x - 7.47 = 46.21

Add 7.47 to both sides

4.88x - 7.47 + 7.47 = 46.21 + 7.47

4.88x = 53.68

Divide both sides by 4.88

x = 53.68/4.88

= 11

x = 11

First week = x = 11 gallons

Second week

= x - 3

= 11-3

= 8 gallons

Therefore,

In the first week, Micah bought 11 gallons of gas.

In the second week, Micah bought 8 gallons of gas.

3 0
3 years ago
Two sides of a triangle have lengths of 120 cm and 95 cm.
Nesterboy [21]

Answer: the answer is D = 210cm

6 0
3 years ago
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