In one method of a procedure called acceptance sampling, a sample of items is randomly selected without replacement and the entire batch is accepted if every item in the sample is ok. Among 810 airport baggage scales, 102 are defective (based on data from the NY Department of Consumer Affairs). If four of the scales are randomly selected and tested, what is the probability that the entire bath will be accepted

Answers

Answer 1

Answer:

[tex]X \sim Hyp (N = 810, M=102, n=4)[/tex]

[tex] P(X=0) = \frac{(102C0)(810-102 C 4-0)}{810C4}[/tex]  

And solving we got:

[tex] P(X=0)= \frac{(102C0) (708C4)}{810C4} = 0.583[/tex]

So then for the problem given the probability that the entire bath will be accepted (none is defective among the 4) is 0.583

Step-by-step explanation:

For this case we can model the variable of interest with the hypergeometric distribution. And with the info given we can do this:

[tex]X \sim Hyp (N = 810, M=102, n=4)[/tex]

[tex]P(X=k)= \frac{(MCk)(N-M C n-k)}{NCn}[/tex]  

Where N is the population size, M is the number of success states in the population, n is the number of draws, k is the number of observed successes  

And for this case we want to find the probability that none of the scales selected would be defective so we want to find this:

[tex] P(X=0)[/tex]

And using the probability mass function we got:

[tex] P(X=0) = \frac{(102C0)(810-102 C 4-0)}{810C4}[/tex]  

And solving we got:

[tex] P(X=0)= \frac{(102C0) (708C4)}{810C4} = 0.583[/tex]

So then for the problem given the probability that the entire bath will be accepted (none is defective among the 4) is 0.583


Related Questions

Find cos theta, tan theta, and csc theta, where is the angle shown in the figure.
Give exact values, not decimal approximations.

Answers

Remember (Soh) (Cah) (Toa). CSC is just the inverse of sine.

The exact values of [tex]cos\theta[/tex], [tex]tan\theta[/tex], and [tex]cosec\theta[/tex] are [tex]\frac{\sqrt{33} }{7}[/tex], [tex]\frac{4}{\sqrt{33} }[/tex] and [tex]\frac{7}{4}[/tex] respectively.

What is sine of an angle?

The sine (sin) of an acute angle in a right angled triangle is the ratio between the side opposite the angle and the hypotenuse of the triangle.

What is cosine of an angle?

In a right triangle, the cosine of an angle is the length of the adjacent side (A) divided by the length of the hypotenuse (H).

What is tangent of an angle?

The tangent of an angle is the ratio of the length of the opposite side to the length of the adjacent side.

What is cosecant of an angle?

In a right angled triangle, the cosecant of an angle is the length of the hypotenuse divided by the length of the side opposite the angle.

According to the given question.

We have a right angle triangle ABC.

In which

AB = 7

AC = 4

Now by Pythagoras Theorem

[tex]AB^{2} =AC^{2} +BC^{2}[/tex]

⇒ [tex](7)^{2} = (4)^{2} + BC^{2}[/tex]

⇒ [tex]49 = 16 +(BC)^{2}[/tex]

⇒ [tex]49 - 16=BC^{2}[/tex]

⇒ [tex]BC^{2} = 33[/tex]

⇒ [tex]BC=\sqrt{33}[/tex]

In the right angle triangle

Hypotenuse, AC = 7

The side BC is the adjacent side w.r.t angle θ.

And, Side BC is the opposite side w.r.t angle θ.

Therefore,

[tex]tan\theta=\frac{4 }{\sqrt{33} }[/tex]

[tex]cos\theta= \frac{\sqrt{33} }{7}[/tex]

[tex]sin\theta= \frac{4}{7}[/tex]

[tex]cosec\theta=\frac{1}{sin\theta} =\frac{1}{\frac{4}{7} } =\frac{7}{4}[/tex]

Hence, the exact values of [tex]cos\theta[/tex], [tex]tan\theta[/tex], and [tex]cosec\theta[/tex] are [tex]\frac{\sqrt{33} }{7}[/tex], [tex]\frac{4}{\sqrt{33} }[/tex] and [tex]\frac{7}{4}[/tex] respectively.

Find out more information about cosine, tangent and cosecant of an angle here:

https://brainly.com/question/1832081

#SPJ3

1/8 cups + what ? Makes 1 1/3 cups

Answers

Answer:

 1  5/24 cups

Step-by-step explanation:

Brainliest for anyone if they get this CORRECT.

Answers

answer is D7/2

hope it helps!!!!!!!!!!!!!!!!!!!!!!

A car can travel 480 miles on a full tank of petrol. The tank holds 60 litres. A driver fills the tank and sets off on a journey.How many litres of petrol will be left when the car has travelled 360 miles?

without calculator

Answers

Answer:

After travelling 360 miles, 15 litres of petrol will be left.

Step-by-step explanation:

If a car can travel 480 miles with a full tank of 60 liters of petrol, it could be said that each liter of petrol allows to travel 8 miles (480/60 = 8). Therefore, since the driver has driven his car for 360 miles, his tank has spent 45 liters of petrol (360/8 = 45). In conclusion, given that the tank has a capacity of 60 liters and that it was full at the time of departure, having spent 45 liters, 15 liters remain in the tank.

What is the speed that a car reaches in m/s, if it travels 956km in 56sec?Help me!! MRU (Uniform Rectilinear Movement)

Answers

Answer:

17.07m/s

Step-by-step explanation:

v=d/t

d=956km

t=56sec

v=956/56

v=17.07m/s

Parallel lines r and s are cut by two transversals, parallel lines t and u. Lines r and s are crossed by lines t and u to form 16 angles. Clockwise from top left, at the intersection of r and t, the angles are 1, 2, 3, 4; at the intersection of s and t, 5, 6, 7, 8; at the intersection of u and s, 9, 10, 11, 12; at the intersection of u and r, 13, 14, 15, 16. Which angles are corresponding angles with angle 8? Angle4 and Angle12 Angle2 and Angle10 Angle6 and Angle14 Angle3 and Angle9

Answers

Answer:

Angle 6 and Angle 13

Step-by-step explanation:

Because they are both parallel.

And they intersect at a given line.

Also cut by two transversals.

The angles that are corresponding angles with angle 8 are; Angles 6 and 14

How to find corresponding angles?

Corresponding angles are defined as the angles that are formed when two parallel lines are intersected by the transversal. This means that they are on the same side of the transverse line.

Now, from the given description and from the image of the line diagram shown in the brainly link attached, we can say that the angles that are corresponding to angle 8 are;

angles 6, 14, 16.

Thus, we conclude by saying that looking at the options, the ones that correspond to angle 8 are angle 6 and angle 14.

Read more about Corresponding angles at; https://brainly.com/question/20907188

#SPJ6

g(t) = 6t - 1

g ( ) = -7

Answers

Answer:

  g(-1) = -7

Step-by-step explanation:

Put the given value for g(t) into the first equation and solve for t.

  -7 = 6t -1

  -6 = 6t . . . . . . add 1

  -1 = t . . . . . . . . divide by 6

g(-1) = -7

Answer: -1

Step-by-step explanation:

someone please help me this is the only question stopping me from graduatin class 2020

Answers

Answer:

EF = 3.43

Step-by-step explanation:

Sin θ = opposite / hypotenuse

Sin 26 = EF / 4.5

0.762 × 4.5 = EF

EF = 3.43

(1 point) The volume of the solid obtained by rotating the region enclosed by x=2y,y3=x(with y≥0) about the y-axis can be computed using the method of disks or washers via an integral V=∫ba ? with limits of integration a= and b= . The volume is V= cubic units. Note: You can earn full credit if the last question is correct and all other questions are either blank or correct.

Answers

[tex]x=2y[/tex] and [tex]x=y^3[/tex] intersect when

[tex]2y=y^3\implies y^3-2y=y(y^2-2)=y(y-\sqrt2)(y+\sqrt2)=0[/tex]

[tex]\implies y=0\text{ or }y=\sqrt2\text{ or }y=-\sqrt2[/tex]

We omit the negative root, since we only care for [tex]y\ge0[/tex].

In the interval (0, √2), we have [tex]y^3<2y[/tex]. Then the volume is given by the integral

[tex]\displaystyle\pi\int_0^{\sqrt2}(2y)^2-(y^3)^2\,\mathrm dy=\pi\int_0^{\sqrt2}4y^2-y^6\,\mathrm dy[/tex]

and so the volume is (32√2)/21 π.

A friendly contest involves randomly drawing a marble from a bag that contains 16 blue marbles, 12 red
marbles, and 8 yellow marbles. If a blue marble is drawn, Nathan wins. If a red marble is drawn, Taylor wins.
If a yellow marble is drawn, Cady wins.
Who is most likely to win the contest?
1 Nathan
2 Cady
3 They are equally likely to win.
4 Taylor

Answers

Answer: I have a huge feeling it would be Nathan because he has the most blue marble. Yk?

please hurry!! 34 + 3 ⋅ 5 = ____. (Input only whole numbers.) Numerical Answers Expected! Answer for Blank 1:

Answers

Answer:

49

Step-by-step explanation:

First multiply 3 x 5.Which will give you 15.Then add 34 and 15 which will give you 49.

Answer:

49

Step-by-step explanation:

3 x 5 = 15

15+34 = 49

if you know the area How would you find the diameter of a circle?

Answers

Step-by-step explanation:

formular of area circle = pi*

[tex] {? \\ radius}^{2} [/tex]

=> radius =

[tex] \sqrt{area \div pi } [/tex]

diameter = 2* radius.hope this help

Please help asap! Will give brainliest! Please read the question then answer correctly! No guessing.

Answers

Answer: C

Step-by-step explanation:

[tex]x^2+4x-21\\(x+7)(x-3)[/tex]

Answer: The correct answer is C.

Step-by-step explanation: If you factor the equation using the AC method, you will get this answer. Multiply A by C. For example, you would multiply 4 by 5 to get 20. List the factors of your answer from step two. That is, list pairs of numbers that you could multiply to come up with that answer. For instance, in the case of 20, you would have the following factors: (1, 20), (2, 10), (4, 5).

Find a pair of numbers among the factors that adds up to the B term in the equation. For this example, you must find a pair that adds up to 9. Therefore, you would isolate the pair (4, 5).

Replace the middle term (the B term) with the two numbers from the pair, along with the original variable that went with the B term. For example, you would write: 4x^2 + (4+5)x + 5 = 4x^2 + 4x + 5x + 5.

Group the first two terms and the last two terms together as such: (4x^2 + 4x) + (5x + 5).

Simplify the equation by finding terms that are common for each side. For instance, you would simplify (4x^2 + 4x) + (5x + 5) to 4x(x + 1) + 5 (x + 1). This would further simplify to (4x + 5) (x + 1).

David and Amy start at the same point and begin biking in different directions. David is biking west at a speed of 17 miles per hour. Amy is biking south at a speed of 15 miles per hour.

Answers

What is the question you only gave the info

Answer: 1.01 hours. THIS IS CORRECT

SteIf you draw a figure to model the situation, you can think of them as starting at the origin (0,0). After t hours, David will be at the point (−17t,0), and Amy will be at the point (0,−15t):

A line segment on a coordinate plane.

A coordinate plane has an unlabeled horizontal x-axis and an unlabeled vertical y-axis. A line segment labeled D that falls from left to right extends from a solid circle at left-parenthesis negative 17 t comma 0 right-parenthesis to a solid circle at left-parenthesis 0 comma negative 15 t right-parenthesis. A point is plotted at left-parenthesis 0 comma 0 right-parenthesis. All plotted points are labeled with their coordinates.

Using the distance formula, we can find the distance between them as a function of time t:

D(t)=(x0−x1)2+(y0−y1)2‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾√=(−17t−0)2+(0−−15t)2‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾√=289t2+225t2‾‾‾‾‾‾‾‾‾‾‾‾‾√=514t2‾‾‾‾‾√=t514‾‾‾‾√

(Note that we can say t2‾‾√=t and not |t| because in this question t>0). Setting this equal to 23 and solving for t, we find

t514‾‾‾‾√t=23=23514‾‾‾‾√≈1.01p-by-step explanation:

Find the area of the shape
with the radius of 10

Answers

Answer: 314.16

Step-by-step explanation: To find the area of a circle you have to square the radius then multiply by pi. 10 squared is 100 then multiplied by pi is 314.16 (rounded to the nearest hundredth).

Joanie has $14. Then she got $23 for her birthday. Later she spend $5 on a book. Which number sentence can be used to find m, the amount of money Joanie has now?

A.
14+23-5=m

B.
14+23+5=m

C.
23-14+5=m

D.
23-14-5=m

Answers

Answer A

Step-by-step explanation:14+23-5

PLEASE HELP WHEN YOU SEE THIS

Answers

Answer:

~ m∠1 = 35 degrees ( ° ) ~

Step-by-step explanation:

1. This pair of intersecting lines form four pairs of supplementary angles, which may be one approach to this problem.

2. This first pair includes the 145 degree angle, which we may assign as 4, and angle 1, the second being 2 and 1, 2 and 3, and 3 and 145 degrees.

3. If we were to consider the first pair of supplementary angles, it would be that 145 + m∠ 1 = 180, or ⇒ m∠1 = 180 - 145 = 35 degrees ( ° )

4. To confirm that this is the right answer, let us prove that with this measure of ∠1 the intersecting lines = 360 degrees, as after all they form a circle.

5. By Vertical Angles Theorem: m∠2 = m∠4, and m∠3 = m∠1

6. It is provided that m∠4 = 145 degrees ( ° ) and m∠1 = 35 degrees ( ° ). Given such let us substitute these values into Step #5, as such      ⇒     m∠2 = 145°, and m∠3 = 35°

7. The sum of the angles are known to 360 degrees, as provided previously, such that m∠1 + m∠2 + m∠3 + m∠4 = 360°, ⇒ 35 + 145 + 35 + 145 = 360, ⇒ 360 = 360

8. This proves that the m∠1 = 35 degrees ( ° )

There are 14math teachers and 26 science teachers at school today. What is the ratio of math teachers to math and science teachers at school?

Answers

Answer is 7:20

It's basically asking "what is the ratio of math teachers to total teachers?" assuming there are only math and science teachers at this school. For the sake of simplicity, let's just go with that. We have 14 math teachers and 14+26 = 40 teachers total. The ratio of math to total is 14:40 which reduces to 7:20 when we divide both parts of the ratio by the GCF 2.

Answer: 7: 13

The ratio would be 14: 26, however you are most likely asked to simplify it. Which is why the answer would be 7: 13

I hope this helped! :DD

Max wants to purchase a wall hanging. He is choosing between one shaped like a trapezoid and one shaped like a kite. He will choose the wall hanging with the greater area. Which wall hanging will Max choose?

Answers

Answer:

Max will choose the wall hanging that is shaped like a trapezoid.

Step-by-step explanation:

To find the area of the trapezoid, break it into a triangle and another trapezoid. Use the formula for the area of a triangle (A=base*height*1/2) and the formula for the area of a trapezoid (A=base+base*height*1/2). The area of the trapezoid is 672 square centimeters.

To find the area of the kite, break it into two identical triangles. (There's a horizontal line between them.) Use the formula for the area of a triangle for both, then add the two areas. The area of the kite is 648 square centimeters.

Finally, we know that 672>648. Therefore, Max will choose the wall hanging that is shaped like a trapezoid.

Hope this helps! Tell me if you have any other questions:)

Answer:trapezoid

Step-by-step explanation:

Plz help
What does “|” mean in mathematical term
Thanks

Answers

Answer:

Step-by-step explanation:

If you meant " | ", as in |x|, that's "absolute value."  The domain of this function is "all real numbers," and the range is "all real numbers zero or greater."

The vertex of the graph of f(x) = (x - 3| + 6 is located at

Answers

Answer:

The answer is The vertex of the graph of f(x) = |x – 3| + 6 is located at (3,6)

3

and

6

Step-by-step explanation:

Vertex of graph located at (3,6)

What is vertex?

A mathematical object's vertex is a special point where two or more lines or edges typically meet. Angles, polygons, and graphs are the most common examples of vertices.

Given equation f(x) = |x - 3| +6

after simplifying there will be two equations they are

y = x - 3 + 6 = x +3...….(1)

and y = -(x-3) +6

y = 9 - x...…(2)      

substitute value of equation 2 in eq. 1

9 - x = x + 3

      x = 3 and

substitute value of x in eq. 1

y = x + 3 =3 + 3

y = 6

x = 3, y = 6

Hence the intersecting points of both equation are (3,6)

Learn more about vertex

https://brainly.com/question/29030495

#SPJ5

If f(x) and f-1 (x)
are inverse functions of each other and f(x) = 2x+5, what is f-1 (8)?​

Answers

Answer:

For this case we have the following function:

 f (x) = 2x + 5

 Clearing x we have:

 2x = y - 5

 x = (y-5) / 2

 Rewriting:

 f (x) ^ - 1 = (x-5) / 2

 Evaluating x = 8:

 f (8) ^ - 1 = (8-5) / 2

 f (8) ^ - 1 = 3/2

 Answer:

 f (8) ^ - 1 = 3/2

 option 2

Answer:

3/2 B

Step-by-step explanation:

Edge

The quality control manager at a light bulb factory needs to estimate the mean life of a batch (population) of light bulbs. We assume that the population standard deviation is 100 hours. A random sample of 64 light bulbs from the batch yields a sample mean of 350. a) Construct a 95% confidence interval for the population mean of light bulbs in this batch. b) Do you think that the manufacturer has the right to state that the average life of the light bulbs is 400 hours

Answers

Answer:

a)95%  confidence intervals for the population mean of light bulbs in this batch

(325.5 ,374.5)

b)

The calculated value Z = 4 > 1.96 at 0.05 level of significance

Null hypothesis is rejected

The manufacturer has not right to take the average life of the light bulbs is 400 hours.

Step-by-step explanation:

Given sample size n = 64

Given  mean of the sample x⁻ = 350

Standard deviation of the Population σ = 100 hours

The tabulated value Z₀.₉₅ = 1.96

95%  confidence intervals for the population mean of light bulbs in this batch

[tex](x^{-} - Z_{\frac{\alpha }{2} } \frac{S.D}{\sqrt{n} } , x^{-} + Z_{\frac{\alpha }{2} }\frac{S.D}{\sqrt{n} } )[/tex]

[tex](350 - 1.96\frac{100}{\sqrt{64} } , 350 + 1.96\frac{100}{\sqrt{64} } )[/tex]

[tex](350 -24.5, 350 +24.5)[/tex]

(325.5 ,374.5)

b)

Explanation:-

Given mean of the Population μ = 400

Given sample size n = 64

Given  mean of the sample x⁻ = 350

Standard deviation of the Population σ = 100 hours

Null hypothesis : H₀:The manufacturer has right to take the average life of the light bulbs is 400 hours.

μ = 400

Alternative Hypothesis: H₁: μ ≠400

The test statistic

[tex]Z = \frac{x^{-}-mean }{\frac{S.D}{\sqrt{n} } }[/tex]

[tex]Z = \frac{350 -400}{\frac{100}{\sqrt{64} } }[/tex]

|Z| = |-4|

The tabulated value   Z₀.₉₅ = 1.96

The calculated value Z = 4 > 1.96 at 0.05 level of significance

Null hypothesis is rejected.

Conclusion:-

The manufacturer has not right to take the average life of the light bulbs is 400 hours.

The measure of an angle is 75°. What is the measure of its supplementary angle?

Answers

Answer:

105

Step-by-step explanation:

Supplementary angles add to 180 degrees

Let the unknown angle be x

75+x = 180

Subtract 75 from each side

75+x-75=180-75

x  = 105

If y= 1/4x and x = -12, find y.

Answers

Answer:

y = -3

Step-by-step explanation:

y= 1/4x and x = -12

Substitute x=12 into the first equation

y = 1/4(-12)

y = -3

Answer:

-3

Step-by-step explanation:

1/4 x -12

The amount of time a certain brand of light bulb lasts is normally distributed with a mean of 1400 hours and a standard deviation of 75 hours. What is the probability that a randomly chosen light bulb will last less than 1380 hours, to the nearest thousandth?

Answers

Answer:

0.394 = 39.4% probability that a randomly chosen light bulb will last less than 1380 hours

Step-by-step explanation:

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this question, we have that:

[tex]\mu = 1400, \sigma = 75[/tex]

What is the probability that a randomly chosen light bulb will last less than 1380 hours, to the nearest thousandth?

This is the pvalue of Z when X = 1380. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{1380 - 1400}{75}[/tex]

[tex]Z = -0.27[/tex]

[tex]Z = -0.27[/tex] has a pvalue of 0.394

0.394 = 39.4% probability that a randomly chosen light bulb will last less than 1380 hours

What is the length of AC? PLEASE HELP ASAP WILL GIVE BRAINLIEST TY

Answers

Answer:

2.33 units

Step-by-step explanation:

[tex]\tan 25\degree =\frac{AC}{5}\\\\0.46630 = \frac{AC}{5}\\\\AC = 0.46630 \times 5\\AC =2.3315\\AC = 2.33 \: units[/tex]

What is the probability of flipping a coin three times and getting either all heads or all tails?

Answers

Answer:

12.5 %

Step-by-step explanation:

Each time you probability of flipping one side is 50%, so when you do this three times (I think of x^3), your probability is going to be 0.5 * 0.5 * 0.5, or 12.5%

A parallelogram piece of paper 40cm by 25cm is cut into small parallelogram 8cm by5cm . How many pieces can be obtained. Step by step please

Answers

step 1- multiply 40 by 25 to get 1000
step2- multiply 8 by 5 to get 40
step3- divide 1000 by 4 to get 250
answer. 250 pieces

Differentiate the function:
y=x^3+2x-1

Answers

Answer:

y' = 3x² + 2

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Algebra I

FunctionsFunction Notation

Calculus

Derivatives

Derivative Notation

Basic Power Rule:

f(x) = cxⁿ f’(x) = c·nxⁿ⁻¹

Step-by-step explanation:

Step 1: Define

Identify

y = x³ + 2x - 1

Step 2: Differentiate

Basic Power Rule:                                                                                             y' = 3x³⁻¹ + 1 · 2x¹⁻¹ - 0Simplify:                                                                                                              y' = 3x² + 2

Topic: AP Calculus AB/BC (Calculus I/I + II)

Unit: Derivatives

Book: College Calculus 10e

Other Questions
I need 2 sentences for each word one in past and another past participle using words ride. know. run. see. shake. speak. swear. take. wear. write. pls Grace made a dot plot showing the distances she ran each day for two weeks. She says that she usually runs 7 miles each day because that is the distance that occurs most often. Do you agree with Grace's reasoning? What was Layevilles punishment? The graph to the right represents the change in velocity of four cars over a period of 10 hours. Which line represents the car with the greatest acceleration? A. AC. CB. BD. DPlease help me Unlike the Federalist Papers, the Anti-Federalist Papers..A)were not as widely read around the country.B)were read mostly in the northeastern states.C)succeeded in its attempt to block ratification.D)had little influence on the Constitution's ratification process. In a certain state, electricity is generated by using the earths heat. Wells drilled and natural steam is taken out through pipes. This natural steam powers the generator and the electricity generated. What type of energy is being used and what type of power plants are set up for harnessing this renewable energy? Which writer translated and popularized the tale of Newton sitting under the apple tree while contemplating the laws ofgravity?GalileoSwiftSirianVoltaire PLS I NEED THIS QUICK!!!!WILL GIVE BRAINLY! you decide to push on a brick wall with all your might for 5 minutes. you push so hard that you begin to sweat. however, the wall does not move. if you end up pushing with a force of 500 newtons, how much work did you do? Why do we need elections in a democratic country? Please help!! Due at 12 AM please!! Will help you !!! I do have another question that i posted that has NOT been answered so if u can help with that also. Which of the following statements is FALSE?a.The first successful oil drilling in Texas was near Nacogdoches.b.Humble Oil became Texaco, one of the largest oil companies in Texas.c.Refineries are used to change oil into its usable products, such as gasoline.d.Almost 30% of all manufacturing jobs in Texas between 1920 and 1930 were in the oil industry. Which line from the play supports the answer to question 1 (about his character)? "Now give me the present you promised." "Odysseus rides out last, under the largest ram." "Hello, we are weary travelers on our way home." "You should have taken better measure of me before swallowing my men." How did the Constitution expand African Americans' rights in 1870?A. It declared that segregated facilities must be equal.B. It prohibited enslavement or involuntary servitude.C. It protected the voting rights of African American men.D. It guaranteed African Americans due process of the law ascitizens The burning of fossil fuels contributes to the addition of greenhouse gases to the atmosphere. These gases trap thermal energy in the Earths atmosphere. Which of the following would be the most reasonable changes that could result from an increase in the burning of fossil fuels?A. The air all over the globe would become dirtier.B. There would be a global rise in temperatures.C. Ecosystems would become more diverse.D. Rates of photosynthesis would decrease. The cone in the diagram has the same heght and base area as the prism. What is the ratio of the volume of the cone to the volume of theprismbase area =Bbase area =DAvolume of conevolume of prismB volume of conevolume of prism13volume of coneBones reserved A person eats a candy bar, and the sugar level in her blood gets very high. Her body releases insulin into her blood. The insulin causes extra sugar to be stored in the muscles, and the sugar level in the blood returns to normal. Whats the missing leg length ANSWER PLEASE T-T NO ONE WILL... Which is the best evidence that two species have a common ancestor?A:The two species have the same diet.B:The two species live in the same habitat.C:The two species' skeletal structures are 90% identical.D:The two species' DNA sequences are 90% identical. Question 13Factor the trinomial, if possible. If the trinomial cannot be factored using integers, write prime. t2 2t + 4 a) (t 4)(t 4) b) (t + 4)( t + 2) c) prime d) (t + 4)(t 2)