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AysviL [449]
3 years ago
11

I need help please...​

Mathematics
1 answer:
umka21 [38]3 years ago
3 0

Answer:

a_n=11-10\,n

Step-by-step explanation:

Notice that in the sequence :

1, -9, -19, ...  one term differs from the following by a constant number that is subtracted from the first one. There is what is called a "common difference" (d = -10)

the first term is "1", and we can apply the formula for the nth term of an arithmetic sequence for which we know the first term , and the common difference:

a_n=a_1+(n-1) * d\\a_n=1\,+\,(n-1)*(-10)\\a_n=1-10\,n+\,10\\a_n=11-10\,n

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Is it 2 times x squared (2x^2?

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3 years ago
A student carried out an experiment to determine the amount of vitamin C in a tablet sample. He performed 5 trials to produce th
ivolga24 [154]

Answer:

There is not enough evidence to support the claim that the amount of vitamin C in a tablet sample is different from 500 mg.

P-value = 0.166.

Step-by-step explanation:

We start by calculating the mean and standard deviation of the sample:

M=\dfrac{1}{n}\sum_{i=1}^n\,x_i\\\\\\M=\dfrac{1}{5}(490+502+505+495+492)\\\\\\M=\dfrac{2484}{5}\\\\\\M=496.8\\\\\\s=\sqrt{\dfrac{1}{n-1}\sum_{i=1}^n\,(x_i-M)^2}\\\\\\s=\sqrt{\dfrac{1}{4}((490-496.8)^2+(502-496.8)^2+(505-496.8)^2+(495-496.8)^2+(492-496.8)^2)}\\\\\\s=\sqrt{\dfrac{166.8}{4}}\\\\\\s=\sqrt{41.7}=6.5\\\\\\

Then, we can perform the hypothesis t-test for the mean.

The claim is that the amount of vitamin C in a tablet sample is different from 500 mg.

Then, the null and alternative hypothesis are:

H_0: \mu=500\\\\H_a:\mu< 500

The significance level is 0.05.

The sample has a size n=5.

The sample mean is M=496.8.

As the standard deviation of the population is not known, we estimate it with the sample standard deviation, that has a value of s=6.5.

The estimated standard error of the mean is computed using the formula:

s_M=\dfrac{s}{\sqrt{n}}=\dfrac{6.5}{\sqrt{5}}=2.907

Then, we can calculate the t-statistic as:

t=\dfrac{M-\mu}{s/\sqrt{n}}=\dfrac{496.8-500}{2.907}=\dfrac{-3.2}{2.907}=-1.1

The degrees of freedom for this sample size are:

df=n-1=5-1=4

This test is a left-tailed test, with 4 degrees of freedom and t=-1.1, so the P-value for this test is calculated as (using a t-table):

\text{P-value}=P(t

As the P-value (0.166) is bigger than the significance level (0.05), the effect is not significant.

The null hypothesis failed to be rejected.

There is not enough evidence to support the claim that the amount of vitamin C in a tablet sample is different from 500 mg.

4 0
3 years ago
!!!!Which ordered pair in the form of (x, y) are solutions to the equation 7x - 5y =28
muminat

Answer:

(-6,-14)

Step-by-step explanation:


8 0
3 years ago
Solve for x. Triangles below are similar. <br><br> a) 13<br> b) 10<br> c) 4<br> d) 3
Reptile [31]

Answer:

the answer is 4 (option C)

Step-by-step explanation:

Since the triangles are similar, and in triangle UTV both sides are equal, we can consider QTR also has two equal sides.

therefore, the equation forms:

13x + 3 = 55

13x = 55 - 3

13x = 52

x = 52/13

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8 0
2 years ago
2n + 5 = 35 what is the value of n?
Svet_ta [14]

Answer:

  • 15

Step-by-step explanation:

2n+5=35

2n=35-5

2n=30

n=15

Answered by

*GraceRosalia*

8 0
3 years ago
Read 2 more answers
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