A car is traveling at a rate of 41 miles per hour. At this rate, how many miles will the car will travel in 30 minutes? Pls it will make my christmas

Answer:

Step-by-step explanation:

Here are the missing values;

Mean μ = 15.5 minutes

Standard deviation = 1.7 minutes

A Random sample of 90 completion

The sample mean = 15.4 minutes

Level of significance = 0.1

Then the following analysis can be made on the above study.

Firstly, the null hypothesis is [tex]\mathbf{H_o : \mu = 15.5}[/tex]

the alternative hypothesis is [tex]\mathbf{H_a: \mu < 15.5}[/tex]  

Since, the value is less than, then this is a one-tailed test.

The Z test statistics can be computed as:

[tex]Z = \dfrac{ \overline x - \mu }{\dfrac{\sigma}{\sqrt{n}} } \ \ \sim \ \ N(0.1)[/tex]

[tex]Z = \dfrac{ 15.4-15.5 }{\dfrac{1.7}{\sqrt{90}} }[/tex]

[tex]Z = \dfrac{ -0.1 }{\dfrac{1.7}{ 9.4868} }[/tex]

Z = −0.560

The critical value of Z at 0.1  level  of significance is:

[tex]Z_{0.1} = -1.28[/tex]

Decision Rule: We fail to reject the null hypothesis sInce -0.560 > -1.28

Conclusion: NO, there is no evidence to support the claim that the mean completion time has decreased. We conclude that the mean completion time remains at 15.5 minutes.

Answer:

2.8 + 27.44k

Step-by-step explanation:

Algebraic Simplification

The rules of algebra can be applied in some situations to make expressions simplified or expanded, according to the specific needs of each problem.

We are given the expression:

(1 + 9.8k)(2.8)

It's a sum and a product. We cannot add the independent term with the variable term, so we can only multiply the factor and the contents of the parentheses as follows:

(2.8)1 + (2.8)9.8k

Operating:

2.8 + 27.44k

Answer:

y = 4 and x = 12

Step-by-step explanation:

Step by step explanation in the pic. Atleast the way I did it.

Answer:

g(x) is reflected across the x-axis and translated 6 units up compared to ƒ(x).

Step-by-step explanation:

Answer:

Step-by-step explanation:

g(x) is reflected across the x-axis and translated 6 units up compared to ƒ(x).

The probability is (0.10 * 0.50 + 0.01 * 0.20 + 0.89 * 0.01) * 100% = 6.09%.

Answer: 280

Step-by-step explanation:

Remember the rounding rule -

If it is 5 or more, you round it up, if it is 4 or less, you round it down.

283 rounded to the nearest ten is 280.

Answer:

Answer: The minimum number of full hours did Carson need to work at his father's business is 8 hours and 15 minutes. Happy to help!

Step-by-step explanation:

Answer: one with change mane I’m pretty sure? Really sorry if that’s not right

Step-by-step explanation:

Answer:

I’m pretty sure it’s 7. Just divide the 35 by 5 bc 5 times 3 is 15 and so it would be 7

Hope this helps

Answer:

Null Hypothesis : P = 0.73

Alternative Hypothesis : P≠ 0.73

Step-by-step explanation:

Explanation:-

According to a recent survey, 73% of college students did not use student loans to pay for college

Let p be the proportion of college students who did not use student loans to pay for college

Population proportion  P = 73% or 0.73

Null Hypothesis :  P = 0.73

Alternative Hypothesis : P≠ 0.73

Answer:

2/5

Step-by-step explanation:

If we convert 1/2 to tenths we get 5/10. We can subtract that from 9/10 to find out what q equals which will give us 4/10 which is also equal to 2/5

(sorry i'm really bad at explaining but I hope this helps)

Answer:

8,20,24

Step-by-step explanation:

these numbers they make 52

Answer:

The rate is -3°F per hour.

Step-by-step explanation:

The rate of change of the temperature per hour, will be equal to the quotient between the total change in temperature and the time it took for the change.

We know that the initial temperature is 0°F

The final temperature is -(6 + 3/5)°F

Then the change in the temperature will be:

Final temperature - initial temperature =  -(6 + 3/5)°F - 0°F =  -(6 + 3/5)°F

We know that this change took a total of (2 + 1/5) hours, then we can conclude that the rate will be:

Rate =  -(6 + 3/5)°F/(2 + 1/5) hs = -(30/5 + 3/5)°F/(10/5 + 1/5) hs

        = -(33/5)°F/(11/5)hs = -(33/11) °F/hs = -3 °F/hs

This means that the rate of change is -3°F per hour, so the temperature decreases 3 °F for each hour that passes.

Step-by-step explanation:

the slope if the equation will be -8

Answer:

[tex]A = 43.74[/tex]

Step-by-step explanation:

Represent Length with L, Width with W and Perimeter with P

[tex]P = 27[/tex]

[tex]L=x+3[/tex]

[tex]W = \frac{2}{3}(x + 3)[/tex]

Required

Determine the Area

From the perimeter, we need to solve for x;

[tex]P = 2(L + W)[/tex]

Substitute values for P, L and W

[tex]27 = 2(x + 3 + \frac{2}{3}(x+3))[/tex]

[tex]27 = 2(x + 3 + \frac{2}{3}x+2)[/tex]

Collect Like Terms

[tex]27 = 2(3 + 2 + x + \frac{2}{3}x)[/tex]

[tex]27 = 2(5 + \frac{3x + 2x}{3})[/tex]

[tex]27 = 2(5 + \frac{5x}{3})[/tex]

Open bracket

[tex]27 = 10 + \frac{10x}{3}[/tex]

Collect Like Terms

[tex]27 - 10 = \frac{10x}{3}[/tex]

[tex]17= \frac{10x}{3}[/tex]

Solve for x

[tex]x = \frac{3*17}{10}[/tex]

[tex]x = \frac{51}{10}[/tex]

[tex]x = 5.1[/tex]

The Area is then calculated using:

[tex]A = L * W[/tex]

[tex]A = (x + 3)*\frac{2}{3}(x+3)[/tex]

[tex]A = \frac{2}{3}(x+3)^2[/tex]

Substitute 5.1 for x

[tex]A = \frac{2}{3}(5.1+3)^2[/tex]

[tex]A = \frac{2}{3}(8.1)^2[/tex]

[tex]A = \frac{2}{3}*65.61[/tex]

[tex]A = \frac{2*65.61}{3}[/tex]

[tex]A = \frac{131.22}{3}[/tex]

[tex]A = 43.74[/tex]

Hence, the area is [tex]43.71cm^2[/tex]

Answer:

8 :)

Step-by-step explanation:

Answer:

18$

Step-by-step explanation:

Answer:

Answer: 75 milligrams

Step-by-step explanation:

The medication contains 5 milligrams/milliliter.

The patient is given 1 teaspoon of the medication 3 times a day. Since 1 teaspoon is approximately equal to 5 milliliters, then the patient takes 3*5 = 15 milliliters of the medication per day.

Each milliliter contains 5 milligrams, thus the patient receives 15*5 = 75 milligrams of medication per day.

Answer: 75 milligrams

Answer:

360 cookies

Step-by-step explanation:

60 times 6= 360

9514 1404 393

Answer:

  0.78b

Step-by-step explanation:

The sale price will be ...

  b - 22% × b = b(1 -22%) = b(1 -0.22)

  = 0.78b . . . . single-term expression for sale price

Answer:

y = 2x - 5

Step-by-step explanation:

[tex]y = 2(x− 3) + 1 \\ \\ y = 2x - 6 + 1 \\ \\ y = 2x - 5 \\ [/tex]

Answer:

no, it's not.

Step-by-step explanation:

300- 284 = 16

284 - 236 = 48

236 - 156 = 80

156 - 44 = 112

for every one the top line goes up, the bottom line changes too, but it's not at a constant rate. it's not constant, therefore it cannot be linear.

the rate of change formula (or slope formula, they're the same thing) is :

y2- y1/ x2 -x1 and to solve it you plug in the points. x is the same a t and y is h

284-300/ 1-0

-16 /1

-16 (this is the rate of change between the first two points)

236- 284/ 2-1

-48/ 1

-48 (rate of change between the second and third points)

since the rate of change isn't constant, it's not possible for it to be a linear relationship.

Answer:

I  D  K

Step-by-step explanation:

my brains not working right now

Answer:

69 feet

Step-by-step explanation:

Now go ace that test!

Answer: 69

Step-by-step explanation:

Answer:

33  7/9 or 304/9

Step-by-step

Answer:

The person above is right give them brainliest please!

Step-by-step explanation:

Answer:

Let Alina share be 2x and asking share be 5x

then, 2x+5x =210 dollars

7x =210 dollars

x=30 dollars

then share of Alina = 2x = 2 * 30 = 60 dollars

and share of asim= 5x = 5 * 30 = 150 dollars

Answer:

I hope the above pic will help you I have done it in word

I will always help you understanding your assingments

have a great day

#Captainpower:)

Answer:

thats not a question

Step-by-step explanation:

Answer:

Part A)

[tex]\displaystyle \frac{dy}{dx}=-\frac{2xy+y^2}{x^2+2xy}[/tex]

Part B)

[tex]\displaystyle y=-\frac{5}{8}x+\frac{9}{4}[/tex]

Step-by-step explanation:

We have the equation:

[tex]\displaystyle x^2y+y^2x=6[/tex]

Part A)

We want to find the derivative of our function, dy/dx.

So, we will take the derivative of both sides with respect to x:

[tex]\displaystyle \frac{d}{dx}\Big[x^2y+y^2x\Big]=\frac{d}{dx}\big[6\big][/tex]

The derivative of a constant is 0. We can expand the left:

[tex]\displaystyle \frac{d}{dx}\Big[x^2y\Big]+\frac{d}{dx}\Big[y^2x\Big]=0[/tex]

Differentiate using the product rule:

[tex]\displaystyle \Big(\frac{d}{dx}\big[x^2\big]y+x^2\frac{d}{dx}\big[y\big]\Big)+\Big(\frac{d}{dx}\big[y^2\big]x+y^2\frac{d}{dx}\big[x\big]\Big)=0[/tex]

Implicitly differentiate:

[tex]\displaystyle (2xy+x^2\frac{dy}{dx})+(2y\frac{dy}{dx}x+y^2)=0[/tex]

Rearrange:

[tex]\displaystyle \Big(x^2\frac{dy}{dx}+2xy\frac{dy}{dx}\Big)+(2xy+y^2)=0[/tex]

Isolate the dy/dx:

[tex]\displaystyle \frac{dy}{dx}(x^2+2xy)=-(2xy+y^2)[/tex]

Hence, our derivative is:

[tex]\displaystyle \frac{dy}{dx}=-\frac{2xy+y^2}{x^2+2xy}[/tex]

Part B)

We want to find the equation of the tangent line at (2, 1).

So, let's find the slope of the tangent line using the derivative. Substitute:

[tex]\displaystyle \frac{dy}{dx}_{(2,1)}=-\frac{2(2)(1)+(1)^2}{(2)^2+2(2)(1)}[/tex]

Evaluate:

[tex]\displaystyle \frac{dy}{dx}_{(2,1)}=-\frac{4+1}{4+4}=-\frac{5}{8}[/tex]

Then by the point-slope form:

[tex]y-y_1=m(x-x_1)[/tex]

Yields:

[tex]\displaystyle y-1=-\frac{5}{8}(x-2)[/tex]

Distribute:

[tex]\displaystyle y-1=-\frac{5}{8}x+\frac{5}{4}[/tex]

Hence, our equation is:

[tex]\displaystyle y=-\frac{5}{8}x+\frac{9}{4}[/tex]

Answer:

t=20 4=5 =6 =8 =9 10

Step-by-step explanation:

And that is iy

Answer:

c is the correct answer

Answer:

90-34=56° .....................