All categories

3 years ago

Given a1=4, find the term of the recursivr sequence using: a=2an-1

1 answer:

7 0

So, basically substitute as many times as they tell you (I don;t see it):

a1=4, a2=2*4-1=7, a3=2*7-1=13, ... As you see it grows up pretty quickly so that's why I think your statement may be missing how many times.

You might be interested in

Bo has 144 stickers on a page. He gives 2/9 of the stickers to his sister. He gives 16 stickers to his friend. How many does Bo

Annette [7]

Answer:

127 7/9

Step-by-step explanation:

144 - 2/9

144/1 - 2/9

(144×9)−(2×1)/1×9

1296-2/9

1294/9

= 143 7/9

143 7/9 - 16

= 127 7/9

3 0

2 years ago

Read 2 more answers

The data shows the speed, in miles per hour, of motorists on a stretch of road.

melomori [17]

Answer:

i. 18 miles per hour is an outlier

ii. the outlier decreases the mean speed

Step-by-step explanation:

An outlier in a given data is one of the values that is far greater or lesser compared to others. It affect the mean and standard deviation of a given data significantly.

From the given data, 18 is far too small compared to other values. This is certainly an outlier. This would affect the mean speed by decreasing the value.

An interquartile range is a measure of differences among data by dividing a set of given data into quartile. Increasing the value of the outlier would increase the interquartile range.

k/jkjln/kjln/j

7 0

3 years ago

Make an input-output table for the function g(x) =2x + 4. Use x-values of 1,2,3,4 and 5.

Masteriza [31]

ana is...

X g(x)

1 2(1)+4=6

2 2(2)+4=8

3 2(3)+4=10

4 2(4)+4=12

5 2(5)+4=14

7 0

3 years ago

A theory predicts that the mean age of stars within a particular type of star cluster is 3.3 billion years, with a standard devi

Luden [163]

Answer:

Null hypothesis: $\mu \leq 3.3$

Alternative hypothesis: $\mu > 3.3$

$z=\frac{3.4-3.3}{\frac{0.4}{\sqrt{50}}}=1.768$

Since is a one right tailed test the p value would be:

$p_v =P(z>1.768)=0.039$

Step-by-step explanation:

Data given and notation

$\bar X=3.4$ represent the sample mean

$\sigma=0.4$ represent the population deviation for the sample

$n=50$ sample size

$\mu_o =3.3$ represent the value that we want to test

$\alpha$ represent the significance level for the hypothesis test.

t would represent the statistic (variable of interest)

$p_v$ represent the p value for the test (variable of interest)

State the null and alternative hypotheses to be tested

We need to conduct a hypothesis in order to determine if the mean is higher than 3.3, the system of hypothesis would be:

Null hypothesis: $\mu \leq 3.3$

Alternative hypothesis: $\mu > 3.3$

Compute the test statistic

We know the population deviation, so for this case is better apply a z test to compare the actual mean to the reference value, and the statistic is given by:

$z=\frac{\bar X-\mu_o}{\frac{\sigma}{\sqrt{n}}}$ (1)

z-test: "Is used to compare group means. Is one of the most common tests and is used to determine if the mean is (higher, less or not equal) to an specified value".

We can replace in formula (1) the info given like this:

$z=\frac{3.4-3.3}{\frac{0.4}{\sqrt{50}}}=1.768$

P value

Since is a one right tailed test the p value would be:

$p_v =P(z>1.768)=0.039$

6 0

3 years ago

Suppose y varies inversely with x, and y = 3 when x = 1/3. What is the inverse variation equation that relates x and y ?

Sav [38]

Good the answer is going to be 1/3x3y

8 0

3 years ago

Read 2 more answers