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mr Goodwill [35]
3 years ago
11

Explain how solving 2x+16=14 different from solving 2x+16=x+14

Mathematics
1 answer:
vladimir2022 [97]3 years ago
4 0
The difference between 2x+16=14 than 2x+16=x+14 is that you would have to solve x in two different ways like finding the first equation another way than to the second equation ( I think ).
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Suppose that we want to test the hypothesis with a significance level (alpha) of .05 that the climate has changed since industri
saw5 [17]

Answer: we reject the initial claim

(50. 3802, 51.6198)

Step-by-step explanation:

A)

The initial statement is that the mean temperature throughout history is 50°

This is the null hypothesis and it is denoted as H'

H': u = 50.

After taking a sample of 40 years, we realized that the mean temperature is 51°.

This is the alternative hypothesis, in contradiction to the alternative.

The alternative hypothesis is denoted as H1

H1: u > 50 ( upper tailed).

Sample size (n) = 40

Sample mean (x) = 51

Population standard deviation (σ) = 2

We use a z test to get the value of the test statistics.

We are using a z test because sample size is greater than 30 ( n = 40) and population standard deviation is given.

Z score = x - u/ (σ/√n)

Z score = 51 - 50 / (2/√40)

Z score = 1 / 0.3162

Z score = 3.16

Our level of significance is 5%, and the critical value at this level of significance is 1.645.

By comparing the z score relative to the critical value, since our z score is greater than 1.645, it implies that we are in the rejection region hence we reject the initial claim.

B)

We are to construct a 95% confidence interval for population mean temperature.

For upper limit

u = x + Zα/2 ×(σ/√n)

Where Zα/2 = 1.96 which is the critical value for a two tailed test at 5% level of significance.

For upper limit, we have that

u = 51 + 1.96 × (2/√40)

u = 51 + 1.96 (0.3162)

u = 51 + 0.6198

u = 51.6198.

For lower limit, we have that

u = 51 - 1.96 × (2/√40)

u = 51 - 1.96 (0.3162)

u = 51 - 0.6198

u = 50. 3802.

Hence the 95% confidence level for mean temperature is given as (50. 3802°, 51.6198°)

7 0
2 years ago
Can someone help me with my work
juin [17]
F(x) = x
stretch by 3:
f(x) = 3x

flip over x-axis
g(x) = -3x

answer is C. g(x) = -3x


5 0
3 years ago
Question o
taurus [48]

The equation -21t - 4 = 10 - 2t has only one solution

<u>Solution:</u>

Given, equation is – 21t – 4 = 10 – 2t  

We have to find how many solutions does the above given equation have  

Now, let us solve the given equation to find the number of solutions it has.

Then, - 21t – 4 = 10 – 2t

Taking like terms to one side of the equation we get,

- 21t + 2t = 10 + 4  

\begin{array}{l}{-19 t=14} \\\\ {19 t=-14} \\\\ {t=-\frac{14}{19}}\end{array}

here we can see only one value of t.

Hence, the given equation has only one solution.

5 0
3 years ago
Evaluate the following when $a = 3$, $b = \frac14$, and $c = 5$: \[ \frac{b^{-1}}{ca^{-1} - ac^{-1}}. \] Thank you so much!
pickupchik [31]

\dfrac{b^{-1}}{ca^{-1}-ac^{-1}}=\dfrac{\frac1b}{\frac ca-\frac ac}

Multiply the numerator and denominator by ac:

\dfrac{\frac1b}{\frac ca-\frac ac}\cdot\dfrac{ac}{ac}=\dfrac{\frac{ac}b}{c-a}

Since b=\frac14, we have b^{-1}=\frac1b=4. So substituting the values of <em>a</em>, <em>b</em>, and <em>c</em> gives us

\dfrac{\frac{ac}b}{c-a}=\dfrac{3\cdot5\cdot4}{5-3}=\dfrac{60}2=\boxed{30}

4 0
3 years ago
Read 2 more answers
A system has infinite solutions. Which statement is NOT true?
Tems11 [23]

Answer:

A Is the Answer to this problem

Step-by-step explanation:

B is true. C is true. D is true because the are parallel

3 0
3 years ago
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