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Answer:

[tex]H_0: \, \mu = 2[/tex].

[tex]H_1:\, \mu > 2[/tex].

Test statistics: [tex]z \approx 2.582[/tex].

Critical value: [tex]z_{1 - 0.025} \approx 1.960[/tex].

Conclusion: reject the null hypothesis.

Step-by-step explanation:

The claim is that the mean [tex]\mu[/tex] is greater than [tex]2[/tex]. This claim should be reflected in the alternative hypothesis:

[tex]H_1:\, \mu > 2[/tex].

The corresponding null hypothesis would be:

[tex]H_0:\, \mu = 2[/tex].

In this setup, the null hypothesis [tex]H_0:\, \mu = 2[/tex] suggests that [tex]\mu_0 = 2[/tex] should be the true population mean of GPA.

However, the alternative hypothesis [tex]H_1:\, \mu > 2[/tex] does not agree; this hypothesis suggests that the real population mean should be greater than [tex]\mu_0= 2[/tex].

One way to test this pair of hypotheses is to sample the population. Assume that the population mean is indeed [tex]\mu_0 = 2[/tex] (i.e., the null hypothesis is true.) How likely would the sample (sample mean [tex]\overline{X} = 2.02[/tex] with sample standard deviation [tex]s = 0.06[/tex]) be observed in this hypothetical population?

Let [tex]\sigma[/tex] denote the population standard deviation.

Given the large sample size [tex]n = 60[/tex], the population standard deviation should be approximately equal to that of the sample:

[tex]\sigma \approx s = 0.06[/tex].

Also because of the large sample size, the central limit theorem implies that [tex]Z= \displaystyle \frac{\overline{X} - \mu_0}{\sigma / \sqrt{n}}[/tex] should be close to a standard normal random variable. Use a [tex]Z[/tex]-test.

Given the observation of [tex]\overline{X} = 2.02[/tex] with sample standard deviation [tex]s = 0.06[/tex]:

[tex]\begin{aligned}z_\text{observed}&= \frac{\overline{X} - \mu_0}{\sigma / \sqrt{n}} \\ &\approx \frac{\overline{X} - \mu_0}{s / \sqrt{n}} = \frac{2.02 - 2}{0.06 / \sqrt{60}} \approx 2.582\end{aligned}[/tex].

Because the alternative hypothesis suggests that the population mean is greater than [tex]\mu_0 = 2[/tex], the null hypothesis should be rejected only if the sample mean is too big- not too small. Apply a one-sided right-tailed [tex]z[/tex]-test. The question requested a significant level of [tex]0.025[/tex]. Therefore, the critical value [tex]z_{1 - 0.025}[/tex] should ensure that [tex]P( Z > z_{1 - 0.025}) = 0.025[/tex].

Look up an inverse [tex]Z[/tex] table. The [tex]z_{1 - 0.025}[/tex] that meets this requirement is [tex]z_{1 - 0.025} \approx 1.960[/tex].

The [tex]z[/tex]-value observed from the sample is [tex]z_\text{observed}\approx 2.582[/tex], which is greater than the critical value. In other words, the deviation of the sample from the mean in the null hypothesis is sufficient large, such that the null hypothesis needs to be rejected at this [tex]0.025[/tex] confidence level in favor of the alternative hypothesis.

Answer:

What is X its fiesty

Step-by-step explanation:

fdsfa

Answer:

the first

Step-by-step explanation:

becasue you have -4 and it drops by 5 each hour so your timing it by 5 so 5h then sinv=ce it drops its -5h.

Answer:

The answer should be B

Step-by-step explanation:

Answer:

Step-by-step explanation:

To express a number as a percent we will first divide the top number by the bottom number.

5/16 = 0.3125

A percent is expressed by moving the decimal two places to the left.

Answer:

30

Step-by-step explanation:

12x4=48

243-48=195

195/6.50= 30

hope that helps :)

Answer:

20 Minutes

Step-by-step explanation:

Answer:

20 minutes

From the given information, we can see that:

4 minutes burns 20 calories, and

8 minutes burns 40 calories.

Step-by-step explanation:

ok

Answer:

24

Step-by-step explanation:

1/4 of x is 6 so you multiply 6 by 4

Answer:

Your answer is 96.5606 Kilometers.

Step-by-step explanation:

1.609 x 60 = 96.5606

Mark as brainliest if it's correct!

Answer:

96.5606kms

Step-by-step explanation:

Answer:

temperature and kinctic energy are related

Answer:

-1/19

Step-by-step explanation:

Answer:

D. x = 21

Step-by-step explanation:

So a straight line is equal to 180º and that's what we're trying to figure out here. Set both equations to equal 180, it should look like:

5x + 4x - 9 = 180

Now we just solve!

5x + 4x - 9 = 180

5x + 4x = 9x

9x - 9 = 180

     +9     +9

------------------

9x = 189

Divide both sides by 9 to get x by itself.

189/9 = 21

x = 21

The question is incomplete, the complete question is;

How many milliliters of full-strength Sustacal are needed to prepare 240 mL of half-strength Sustacal?

1. 120 mL

2. 240 mL

3. 360 mL

4. 480 mL

Answer:

120 mL

Step-by-step explanation:

From the question, we can see that the full strength solution is supposed to contain 240 ml of Sustacal .

If that is so, we can get a half strength solution by using only 120 ml of full strength solution and making up the remaining volume with water. This solution now has half the strength of a 240 ml full strength solution.

This is simple as the perimeter is given. All you have to do is make an expression and then equate it to the perimeter.

Side lengths:

Shortest Side: [tex]x[/tex]

1st side: [tex]2x[/tex] (Given that it's twice the length of the shortest of twice of [tex]x[/tex])

3rd side: [tex]x + 19[/tex] (Given that it's 19 more than the length of the shortest side or [tex]x[/tex])

Since the perimeter is just the addition of all the sides of the shape, the perimeter is going to be the addition of all the expression we made.

So the final expression is going to be: [tex]x + 2x + x + 19[/tex]

This is nothing but the perimeter so we can therefore equate it to [tex]163[/tex]

[tex]x + 2x + x + 19 = 163[/tex]

Now we solve the equation. Here it goes!:

[tex]4x + 19 = 163\\4x = 163 - 19\\4x = 144\\x = 144/4 = 36[/tex]

Therefore, [tex]x = 36[/tex]

So now we plug them into the previous expressions we made for the sides and you get:

Shortest side: [tex]36[/tex]

1st side: [tex]72[/tex]

3rd side: [tex]55[/tex]

And also, the length of the shortest side is [tex]36[/tex] as mentioned previously :D

Answer:

1.11

Step-by-step explanation:

Answer:

6 2/3 x 1 1/2 is 10

Step-by-step explanation:

Answer:

I think it would be Column 2

Step-by-step explanation:

Answer:

What is the ratio? e = 25/75

What is the percent error? f = 33%

Step-by-step explanation:

Answer:

15.87% probability of selecting a number that is at most 9

Step-by-step explanation:

Answer:

7x^2+7x/x^2-4x-12

Step-by-step explanation:

Given the expression

X+1/x-6 times 7x/x+2

Rewrite

X+1/x-6 * 7x/x+2

= 7x(x+1)/(x-6)(x+2)

= 7x^2+7x/x^2+2x-6x-12

= 7x^2+7x/x^2-4x-12

Hence the product of both function is expressed as 7x^2+7x/x^2-4x-12

Answer:

ejeqf

Step-by-step explanation:

kmd

Answer:

if x = pi/2, then y =1.

if x = pi/4, then y = [tex]\frac{\sqrt{2 } }{2}[/tex]

if x = pi, then y = 0

Step-by-step explanation:

The required answer as a comma-separated lists are (0, 0),  ([tex]\frac{\pi}{6}[/tex], 0.5), ( [tex]\frac{\pi}{4}[/tex],  [tex]\frac{1}{\sqrt{2} }[/tex]),  ( [tex]\pi[/tex], 0)

Given the equation of a sine graph expressed as:

[tex]y=sinx[/tex] for all values of x within the range 0 < x < 2π

We need to get the value of y for the values of x within the range as shown:

If x = 0;

y = sin0

y = 0

The required solution is (0, 0)

If x = 30;

y = sin30

y = 0.5

The required solution is ([tex]\frac{\pi}{6}[/tex], 0.5)

If x = [tex]\frac{\pi}{4}[/tex];

y = sin [tex]\frac{\pi}{4}[/tex]

y = [tex]\frac{1}{\sqrt{2} }[/tex]

The required solution is ( [tex]\frac{\pi}{4}[/tex],  [tex]\frac{1}{\sqrt{2} }[/tex])

If x = [tex]\pi[/tex]

y = sin [tex]\pi[/tex]

y = 0

The required solution is at ( [tex]\pi[/tex], 0)

If x = [tex]2\pi[/tex]

y = sin[tex]2\pi[/tex]

y = 0

Hence the required answer as a comma-separated lists are (0, 0),  ([tex]\frac{\pi}{6}[/tex], 0.5), ( [tex]\frac{\pi}{4}[/tex],  [tex]\frac{1}{\sqrt{2} }[/tex]),  ( [tex]\pi[/tex], 0)

Learn more here: https://brainly.com/question/2919352

Answer:

lol

Step-by-step explanation:

Answer:

ayyyye i play soccer too lol

Step-by-step explanation:

Answer:

looks like you play softball or basketball

Step-by-step explanation:

Answer:

Step-by-step explanation:

2,5,9,12,7,10,6,3,6

mean=(2+5+9+12+7+10+6+3+6)/9

=60/9

=6.67(approx)

Answer:

Is it hershey

Step-by-step explanation:

Answer:

D.

Step-by-step explanation:

You are splitting the equation up. (I don't really know how to explain it sorry)

The correct steps to evaluate 5 · 58 using the distributive property following are: 5(58) = 5(50 + 8) = 5 · 50 +5 · 8 = 250 + 40 = 290.

The product of a number by addition is equal to the total of the products of that number by each of the addends, according to the distribution property of multiplication.

The correct steps to evaluate 5 · 58 using the distributive property are:

Start with the expression 5 · 58.

Use the distributive property to rewrite the expression as 5(50 + 8).

Use the distributive property again to rewrite the expression as 5 · 50 + 5 · 8.

Calculate the value of each term in the resulting expression:

5 · 50 = 250 and 5 · 8 = 40.

Add the values of the two terms to get the final result:

250 + 40 = 290.

Therefore, the correct answer is D. 5(58) = 5(50 + 8) = 5 · 50 + 5 · 8 = 250 + 40 = 290.

To learn about the distributive property of multiplication here:

brainly.com/question/20754996

#SPJ5

Answer:

R3 <= 0.083

Step-by-step explanation:

f(x)=xlnx,

The derivatives are as follows:

f'(x)=1+lnx,

f"(x)=1/x,

f"'(x)=-1/x²

f^(4)(x)=2/x³

Simialrly;

f(1) = 0,

f'(1) = 1,

f"(1) = 1,

f"'(1) = -1,

f^(4)(1) = 2

As such;

T1 = f(1) + f'(1)(x-1)

T1 = 0+1(x-1)

T1 = x - 1

T2 = f(1)+f'(1)(x-1)+f"(1)/2(x-1)^2

T2 = 0+1(x-1)+1(x-1)^2

T2 = x-1+(x²-2x+1)/2

T2 = x²/2 - 1/2

T3 = f(1)+f'(1)(x-1)+f"(1)/2(x-1)^2+f"'(1)/6(x-1)^3

T3 = 0+1(x-1)+1/2(x-1)^2-1/6(x-1)^3

T3 = 1/6 (-x^3 + 6 x^2 - 3 x - 2)

Thus, T1(2) = 2 - 1

T1(2) = 1

T2 (2) = 2²/2 - 1/2

T2 (2) = 3/2

T2 (2) = 1.5

T3(2) = 1/6 (-2^3 + 6 *2^2 - 3 *2 - 2)

T3(2) = 4/3

T3(2) = 1.333

Since;

f(2) = 2 × ln(2)

f(2) = 2×0.693147 =

f(2) = 1.386294

Since;

f(2) >T3; it is significant to posit that T3 is an underestimate of f(2).

Then; we have, R3 <= | f^(4)(c)/(4!)(x-1)^4 |,

Since;

f^(4)(x)=2/x^3, we have, |f^(4)(c)| <= 2

Finally;

R3 <= |2/(4!)(2-1)^4|

R3 <= | 2 / 24× 1 |

R3 <= 1/12

R3 <= 0.083

Answer:

44$

Step-by-step explanation:

Answer:

Answer

5.0/5

7

PiaDeveau

Ace

5K answers

22.1M people helped

The selling cost for Stefan bicycle = $114 and

the selling cost of a helmet = $18.

The total cost for Jin is 120% of the money spent.

Let us assume purchasing cost of a bicycle = $x.

Purchasing cost of a halmet = $y.

For bicycle

120% of x is $114  

=>  1.20 × x = 114

Dividing both sides by 1.20, we get

x=$95.

For helmet.

120% of y is $18.

=> 1.20 × y = 18.

Dividing both sides by 1.20, we get

y = $15.

Therefore, Stefan spent originally to buy a bike $95 and $15 to buy a helmet.

$114 - 95 = $19

$18 - 15 = $3.

Therefore, he made $19 by selling the bicycle and $3 by selling the helmet to Jin.

Step-by-step explanation:

Answer:

25

Step-by-step explanation:

trust me