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hodyreva [135]
3 years ago
9

What is the 8th term of this sequence 1, -1/2, 1/4, -1/8

Mathematics
1 answer:
shtirl [24]3 years ago
3 0

Answer:

-1/128

Step-by-step explanation:

1,-1/2,1/4,-1/8,1/16,-1/32,1/64,-1/128

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A paper describes a study in which researchers observed wait times in coffee shops in Boston. Both wait time and gender of the c
kvasek [131]

Answer:

t=\frac{85.8-113.4}{\sqrt{\frac{(50)^2}{145}+\frac{(75)^2}{141}}}}=-3.65  

p_v =2*P(t_{(284)}

Using Excel we can use the following code: "=2*T.DIST(-3.65;284;TRUE)"

So the p value is a very low value and using any significance level giveen \alpha=0.05 always p_v so we can conclude that we have enough evidence to reject the null hypothesis, and there is enough evidence to conclude that the means are different.

Step-by-step explanation:

1) Data given and notation

\bar X_{M}=85.8 represent the mean for the males

\bar X_{F}=113.4 represent the mean for females

s_{M}=50 represent the sample standard deviation for males

s_{F}=75 represent the sample standard deviation for female

n_{M}=145 sample size for the group poisoned

n_{F}=141 sample size for the group unpoisoned

t would represent the statistic (variable of interest)

2) Concepts and formulas to use

We need to conduct a hypothesis in order to check if the mean for the two groups are equal or not , the system of hypothesis would be:

Null hypothesis:\mu_{M} = \mu_{F}

Alternative hypothesis:\mu_{M} \neq \mu_{F}

If we analyze the size for the samples both are higher than 30 but the population deviations are not given, so for this case is better apply a t test to compare means, and the statistic is given by:

t=\frac{\bar X_{M}-\bar X_{F}}{\sqrt{\frac{s^2_{M}}{n_{M}}+\frac{s^2_{F}}{n_{F}}}} (1)

t-test: Is used to compare group means. Is one of the most common tests and is used to determine whether the means of two groups are equal to each other.

3) Calculate the statistic

We can replace in formula (1) the results obtained like this:

t=\frac{85.8-113.4}{\sqrt{\frac{(50)^2}{145}+\frac{(75)^2}{141}}}}=-3.65  

4) Statistical decision

The first step is calculate the degrees of freedom, on this case:

df=n_{M}+n_{F}-2=145+141-2=284

Since is a two tailed test the p value would be:

p_v =2*P(t_{(284)}

Using Excel we can use the following code: "=2*T.DIST(-3.65;284;TRUE)"

So the p value is a very low value and using any significance level giveen \alpha=0.05 always p_v so we can conclude that we have enough evidence to reject the null hypothesis, and there is enough evidence to conclude that the means are different.

4 0
3 years ago
A city planner is mapping out some new features for a triangular park. She sketches the park on grid paper. The coordinates of t
valentinak56 [21]

Answer:

The area of the triangle enclosed by the three points

A(1,1), B(1,4) and C(-3,4) in this question will be given by

|Ax ( By − Cy)+ Bx(Cy−Ay)+ Cx(Ay− By) |/2

=|1(4-4)+1(4-1)+-3(1-4)|/2=10/5= 5 sq. units

5 0
2 years ago
Read 2 more answers
A man bought an article for #50,000, and sold it for #35,000. what is the percentage lost
Lyrx [107]

Answer:

30%

Step-by-step explanation:

Percentage loss is calculated as

\frac{loss}{original} × 100%

loss = 50000 - 35000 = 15000, thus

percent loss = \frac{15000}{50000} × 100% = 30%

5 0
2 years ago
In April, Phillipa rode
mina [271]

Answer:

Month 1:  she rode 33.3 miles

Month 2: she rode 16.65 miles

Month 3: She rode 133.2 miles

meaning in Month 3 she rode about 4 times more then month one and about 8 times more then she did in month 2

Step-by-step explanation:

8 0
2 years ago
What does X equal?? Please help me out!!
Alja [10]
X = 80 + 20 = 100 degrees
3 0
3 years ago
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