Concerns about climate change and CO2 reduction have initiated the commercial production of blends of biodiesel (e.g., from renewable sources) and petrodiesel (from fossil fuel). Random samples of 48 blended fuels are tested in a lab to ascertain the bio/total carbon ratio. (a) If the true mean is .9050 with a standard deviation of 0.0100, within what interval will 90 percent of the sample means fall

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:

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

                                                 Question # 14

Given the numbers

10     11     12     13     14     15     16     17     18     19     20

Let 'x' be the number

The condition breakdown:

I am less than 20.

I am more than 13.

I am less than 17.

Finally:

I am 4 more than 12

i.e. 12+4 = 16

Thus, the number is x = 16

                                               Question # 15

Part a)

Given the numbers

10     11     12     13     14     15     16     17     18     19     20

Let 'x' be the number

The condition breakdown:

I am more than 10.

I am less than 20.

I am more than 12.

I am less than 15.

As the numbers left after all the conditions are fulfilled are 13 and 14.

So, from the remaining number 13 and 14;

14 > 13

Thus, the number x = 14

Part b)

Drawing the number 14 in the place value:

          Chart

Tens                Ones

1                         4

Answer:

18$

Step-by-step explanation:

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.

Answer:

8 :)

Step-by-step explanation:

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)

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

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).

Answer:

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

Step-by-step explanation:

And that is iy

Answer:

Yes, and if you divide x^3+3x^2-7x-21 with x+3 you will result in x^2-7

Step-by-step explanation:

Hope this helps

And I like your profile pic

The given polynomial is divisible by x+3 because f(-3)=0

So , the remainder is equal to 0

Her conclusion is correct.

Given :

Angie divides the polynomial function

[tex]f (x)=x^3+3x^2-7x-21[/tex] by (x+3)

Apply remainder theorem to check whether the remainder is equal to 0

If a polynomial p(x) is divisible by  (x-a), the remainder obtained is P(a)

x+3 is the divisor

Lets set the divisor =0 and solve for x

[tex]x+3=0\\x=-3[/tex]

Now we plug in -3 for x in given f(x) and see whether f(-3) =0

[tex]f (x)=x^3+3x^2-7x-21\\f (-3)=(-3)^3+3(-3)^2-7(-3)-21\\f(-3)=-27+27+21-21\\f(-3)=0[/tex]

So, f(-3)=0 and hence the remainder is 0

Her conclusion is correct

Learn more :  brainly.com/question/19908280

Answer:

90-34=56° .....................

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:

33  7/9 or 304/9

Step-by-step

Answer:

The person above is right give them brainliest please!

Step-by-step explanation:

Answer:

Please check the explanation.

Step-by-step explanation:

We know that

2)

Given the expression

f(x) = 3x + 4/3 x³ - 7

The given expression is a polynomial with degree 3 (highest power of any variable) and having 3 terms

3)

Given the expression

g(x) =- 5x³ + x - 3/x

The given expression is NOT a polynomial as any term of a polynomial can not have exponent as -1.

For example, the term 3/x or 3x⁻¹ has negative exponent -1.

Thus, g(x) =- 5x³ + x - 3/x

4)

Given the expression

h(x) =x³√5 + x - 3

The given expression is a polynomial with degree 3 (highest power of any variable) and having 3 terms

5)

Given the expression

k(x)=25x²-x³+x⁵

The given expression is a polynomial with a degree of 5 (highest power of any variable) and having 3 terms.

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:

so 3×2 is 839 and 828 equal to pie 111+×÷ equals for the equation is the awnser to 444 which is 344

Answer:

SSS theorem

Step-by-step explanation:

SSS theorem

Step-by-step explanation:

REALLLYYY???!!!!!!

JK

thx 4 the points..

Answer:

2

Step-by-step explanation:

Answer:

69 feet

Step-by-step explanation:

Now go ace that test!

Answer: 69

Step-by-step explanation:

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:

te puedo responder pero debes hacer primero tu tarea

Step-by-step explanation:

Answer:

y = 4 and x = 12

Step-by-step explanation:

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

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:

48 in²

Step-by-step explanation:

if it's a right triangle you can multiply your sides like uts a rectangle and then divide it by 2. look at the triangle like its half a rectangle