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kap26 [50]
3 years ago
7

Need help with this! Only 1 question :^)

Mathematics
1 answer:
FinnZ [79.3K]3 years ago
3 0

Answer:A

Step-by-step explanation:


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Find the 10th term of the geometric sequence 1, 3, 9, .
spin [16.1K]

Answer:

19683

Step-by-step explanation:

As the formula of the geometric sequence:

a_{n} =a_{1} *r^{n-1}

In the sequence of 1, 3, 9..., you have a1 = 1 and r = 3. Therefore:

a_{10} =1 *3^{10-1}  = 3^{9} =19683

Hope this helps!

3 0
3 years ago
Daily-high temperature measurements for 40 consecutive days are recorded for a particular city. The mean daily-high temperature
Vesnalui [34]

Answer:

t=\frac{21.5-22}{\frac{1.5}{\sqrt{40}}}=-2.108    

p_v =P(t_{39}  

Conclusion  

If we compare the p value and the significance level given \alpha=0.01 we see that p_v>\alpha so we can conclude that we have enough evidence to FAIL to reject the null hypothesis, so we can conclude that the mean temperature actually its NOT significant less then 22 at 1% of signficance.  

(D) P-val=0.021, fail to reject the null hypothesis

Step-by-step explanation:

1) Data given and notation  

\bar X=21.5 represent the mean for the temperatures

s=1.5 represent the sample standard deviation

n=40 sample size  

\mu_o =22 represent the value that we want to test

\alpha=0.01 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.  

We need to conduct a hypothesis in order to check if the mean is less than 22C, the system of hypothesis would be:  

Null hypothesis:\mu \geq 22  

Alternative hypothesis:\mu < 22  

If we analyze the size for the sample is > 30 and we don't know the population deviation so is better apply a t test to compare the actual mean to the reference value, and the statistic is given by:  

t=\frac{\bar X-\mu_o}{\frac{s}{\sqrt{n}}}  (1)  

t-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".  

Calculate the statistic

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

t=\frac{21.5-22}{\frac{1.5}{\sqrt{40}}}=-2.108    

P-value

We can calculate the degrees of freedom like this:

df=n-1=40-1=39

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

p_v =P(t_{39}  

Conclusion  

If we compare the p value and the significance level given \alpha=0.01 we see that p_v>\alpha so we can conclude that we have enough evidence to FAIL to reject the null hypothesis, so we can conclude that the mean temperature actually its NOT significant less then 22 at 1% of signficance.  

The best option would be:

(D) P-val=0.021, fail to reject the null hypothesis

5 0
3 years ago
PLEASE HELP!!! <br><br> Which equation represents this ellipse?
Alona [7]

Answer:

y²/25+x²/4=1

Step-by-step explanation:

The equation for an ellipse is either categorized as

x²/c² + y²/d² = 1 . In such an equation, the vertices on the x axis are categorized by (±c,0) and the vertices on the y axis are (0, ±d)

In the ellipse shown, the vertices/endpoints on the x axis are (-2,0) and (2,0). This means that c is equal to 2. Similarly, on the y axis, the endpoints are (5,0) and (-5,0), so d=5.

Our equation is therefore x²/2²+y²/5²=1 = x²/4+y²/25=1

Our answer is therefore the fourth option, or

y²/25+x²/4=1

5 0
3 years ago
How many times can 8 go into 60
nignag [31]

The correct answers are:

(1) If EXACT number is required, then 7.5.

(2) If multiple of 8 is required then the answer will be 7 times with a remainder of 4.

Explanation:

First you need to express it in the form of equation to make things simpler as follows:

8 * y = 60

We need to find y; to do so, divide 60 by 8:

y = \frac{60}{8}

y = 7.5

Now if you want to find the whole number, then the answer will be 7 times, with 4 left over.

6 0
3 years ago
Read 2 more answers
Is 4(5a-8)+2a equivalent to 12a-6
dem82 [27]
No, it would end up being 20a-32 which is not equivalent to 12a-6
8 0
3 years ago
Read 2 more answers
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