Research in March 2019 suggests that 40% of U.S. Adults approve of way President Trump is running the country. We randomly sample 50 U.S. Adults and find that 35% approve of way President Trump is running the country. What is the probability that a random sample of 50 U.S. Adults has less than 35% with this opinion? (Round standard error to 2 decimal places before calculating Z. Round Z to 2 decimal places before using the Normal Distribution Calculator.) Group of answer choices about 0.24 about 0.76 about 0.48

Answers

Answer 1

Answer:

The probability is  [tex]P( \^ p  <  0.35)=    0.2388 [/tex]

Step-by-step explanation:

From the question we are told that

   The  population proportion is  p =  0.40

    The sample size is  n  =  50  

   

 Generally the standard error is mathematically represented as

       [tex]\sigma_{\= p} =  \sqrt{\frac{p *  (1- p)}{n} }[/tex]

=>     [tex]\sigma_{\= p} =  \sqrt{\frac{0.40 *  (1- 0.40)}{50} }[/tex]

=>     [tex]\sigma_{\= p} = 0.07[/tex]

Generally the probability that a random sample of 50 U.S. Adults has less than 35% with this opinion is mathematically represented as

      [tex]P( \^ p  <  0.35) =  P(\frac{\^ p  -  p}{\sigma_{\= p}} <  \frac{0.35 - 0.40}{0.07}  )[/tex]

Generally  [tex]\frac{\^ p  -  p}{\sigma_{\= p}} =  Z (The \  standardized \ value\ of \  \^ p )[/tex]

=>   [tex]P( \^ p  <  0.35)=P(Z  <  -0.71)[/tex]

From the z table  

    [tex]P(Z  <  -0.71) =  0.2388[/tex]

So

     [tex]P( \^ p  <  0.35)=    0.2388 [/tex]


Related Questions

Which unit is commonly used in both the Metric and the US Systems of Units?
A. hour
B. gallon
C. centimeter
D. kilogram

Answers

Answer:

calculator soup. com

Step-by-step explanation:

go to this site

Answer:

D kilogram to measure length, liquid volume, and mass, just as the U.S. customary system uses feet, quarts, and ounces to measure these.

what is -4 7/8 × 2/3 =​

Answers

Answer:

-13/4

Step-by-step explanation:

1.) convert to improper fraction.

-39/8 * 2/3

2.) multiply top

-39 * 3 = -117

3.) multiply bottom

8 * 3 = 24

4.) simplify

-117/24 = -13/4

The slope-intercept form of a line is y = mx + b, where m is the slope and b is the y-intercept. If Shawn knows that the slope of the line is 4 and the line passes through the point (1,8), which equation should be use to find the y-intercept and what is the y-intercept of the line?

Answers

Answer:

y = 4x + 4

Step-by-step explanation:

Plug in your x and y coordinates

8 = 4(1) + b

8 = 4 + b            get your constants together by subtracting 4 from both sides

4 = b

Hope this helps

HELP I SUCK AT MATH HELP ASAP PLZZZ!!! GIVING BRIANLIEST AND POINTS.

Henry is starting a t-shirt printing business and plans on selling each shirt for $30, with his cost being $8 per shirt. The equipment will cost $1200.

Henry orders 600 shirts and determines that the profit for his new business is modeled by the function p = 22x - 1200. What is the range of this function in this context?
A) {0 ≤ p ≤ 500}
B) {0 ≥ p ≥ 500}
C) {-1,200 ≤ p ≤ 2,000}
D) {-1,200 ≤ p ≤ 12,000}

Answers

Answer:

isD  

Step-by-step explanation:

Answer:

D) {-1200 < p < 12,000}

Step-by-step explanation:

have a good day

what is 15 3/5 times 6

Answers

Answer: 93 3/5

Step-by-step explanation:

3/5 + 3/5 + 3/5 = 9/5

9/5 + 9/5 = 18/5 = 3 3/5

15 x 6 = 90

90 + 3 3/5 = 93 3/5

Let me know if this helped! :D

93 3/5 I used a calculator to double check my answer let me know if this helped

subtract 3 from the cube of f​

Answers

Answer:

F^3-3................

find the product using suitable properties a, 38 × 55 + (-45) ×38​

Answers

Answer:

= 380

Step-by-step explanation:

(38*55) + (-45*38)

(2090) + (-1710)

2090 - 1710

= 380

380 is the correct answer I believe

Solve the inequality. c + 5 ≥ 10

Answers

Answer:

c≥5

Step-by-step explanation:

hope that helps :)

1. Brand A scooter has a top speed that goes 2 miles per hour faster than Brand B. If after 3 hours, Brand A scooter traveled 24 miles at its top speed, at what rate did Brand B scooter travel at its top speed if it traveled the same distance? Write an equation to determine the solution. Identify the if-then moves used in your solution.

Answers

Answer:

6 miles/hr

Step-by-step explanation:

Given:

Top speed of Brand A scooter goes 2 miles per hour faster than Brand B.

Distance traveled by brand A scooter on its top speed in 3 hours = 24 miles

To find:

The rate at which brand B traveled the same distance at its top speed ?

Solution:

Let the top speed/rate of brand B scooter = [tex]x[/tex] miles/hr

According to question:

Top speed/rate of brand A scooter = [tex]x+2[/tex] miles/hr

Formula:

[tex]Distance = Speed \times Time[/tex]

Distance is given to be equal to 24 miles:

24 = ([tex]x+2[/tex]) [tex]\times 3[/tex]  ...... (1)

Solving the above equation by first dividing the equation on both sides with 3:

[tex]\dfrac{24}{3} = \dfrac{(x+2)\times 3}{3}\\\Rightarrow 8 = (x+2)[/tex]

Now subtracting 2 from both the sides:

[tex]\Rightarrow 8-2=x+2-2\\\Rightarrow x=6\ miles/hr[/tex]

Therefore, the answer is:

Top speed of scooter B is 6 miles/hr.

The if-then moves used to solve the equation (1) are:

Dividing by a non zero number on both sides, then subtracting a number on both sides.

What is the length of AC?
B
181
1
1
140 - X
A
A. 112
B. 120
C. 105
D. 126

Answers

Answer:it’s 126

Step-by-step explanation:

The length of AC will be 126. Option D is correct. Similarity of the triangle is applied to find the value of AC.

What is SAS similarity theorem?

ΔABC ~ ΔDEF  only if ratio of two sides of ΔABC and corresponding two sides of ΔDEF is equal, and the angle included in both sides are congruent.

Suppose the two sides of ΔABC are AB and BC, and that of DEF be DE and EF, then for SAS similarity, we need

From the similarity of the triangle;

[tex]\rm \frac{AB}{ED} =\frac{AC}{EC} \\\\ \rm \frac{81}{9} =\frac{140-x}{x} \\\\ 9x=140-x\\\\ 10x=140 \\\\ x=14[/tex]

The measure of AC is;

AC=140-x

AC=140-14

AC=126

The length of AC will be 126.

Hence,option D is correct.

To learn more about the SAS similarity theorem, refer;

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-3x + 2c = -3, solve for x

Answers

Answer:

x=2c/3+1

Step-by-step explanation:

Subtract 2c from both sides.

−3x=−3−2c

The equation is in standard form.

−3x=−2c−3

Divide both sides by −3.

-3x/-3=-2c-3/-3

Dividing by −3 undoes the multiplication by −3.

x=-2c-3/-3

Divide −3−2c by −3.

x=2c/3+1

PLS HELP ME I REALLY NEED HELP I DO NOT FEEL GOOD AND I HAVE TO MCUH WORK...pls? (7th grade work)

Answers

Answer:

see below

Step-by-step explanation:

65 - 32 = 13

13 divide by 65 = 0.20

0.20 x 100% = 20%

so the percentage drop is 20%

therefore, Marcus is correct.

4. Explain and correct the error made by a student who simplified this expression.
–2x – 4x + 8y – y
(–2 – 4)x + (8 – 0)y
–6x + 8y

Answers

Answer:

I notice that the first equation has a 7x, term and the second equation has a -7x term. These terms will cancel if we add the equations together—that is, we'll eliminate the the x terms:

Step-by-step explanation:

2y+7x= -5 + 5y-7x=12

what is the following sum? 4(5rootx2y)+3(5rootx2y)​

Answers

Answer: Choose which answer you think fits

Step-by-step explanation:

The roots are there to confuse you. They have the exact same numbers under the radical, so you can treat it like a variable and add 4 + 3 since theyre like terms.

[tex]7(5\sqrt{x2y} ) = 35\sqrt{x2y}[/tex]

If that's an x^2, bring the x out and keep the y inside the radical to get:

[tex]35x\sqrt{y}[/tex]

help please!! thanks :)

Answers

Answer:

I think it's B not sure though.

I dont understand can sombody solve this

Answers

Answer:

Option 1

Step-by-step explanation:

I found the exact moon graph on line .  It says it is proportional because  the line passes through the origin

Round 1.029 to the nearest hundredth.

Answers

Answer:

1.03

Step-by-step explanation:

1.029 is closer to 1.03 than 1.02, so round it to 1.03.

Answer:

1.03

Step-by-step explanation:

Find the inverse of the given function.
(f) = -5x-9​

Answers

Answer:

x=-4

Step-by-step explanation:

Answer: -x+9/5

Step-by-step explanation:

what is the equation of the line passing through the points (3,6) and (2,10)

Answers

Answer: y= - 4x+18

Step-by-step explanation:

Equation: y=mx+b

***remember: b is the y-intercept and m is the slope.

m=[tex]\frac{y2-y1}{x2-x1}[/tex]

3= x1

2= x2

6= y1

10=y2

m=[tex]\frac{10-6}{2-3}[/tex]= [tex]\frac{4}{1}[/tex]= -4

m=-4

Now we have y=-4x+b , so let's find b.

You can use either (x,y) such as (3,6) or (2,10) point you want..the answer will be the same:

   (3,6). y=mx+b or 6=-4 × 3+b, or solving for b: b=6-(-4)(3). b=18.

   (2,10). y=mx+b or 10=-4 × 2+b, or solving for b: b=10-(-4)(2). b=18.

Equation of the line: y=-4x+18

In scientific notation, 76 000 = 7.6x 10".
n =

Answers

Answer:

4 :)

Step-by-step explanation:

Can you map shape I onto shape II by a sequence of transformations? If so, give a sequence of transformations that maps shape I onto shape II.

Answers

Yes, the shape I can onto shape II by a sequence of transformations.

Two images are given we have to determine that whether any of shape can onto other shapes.

What is a graph?

A graph can be defined as a pictorial representation or a diagram that represents data or values.

The shape I can be mapped into shape II through a series of transformations.

The first sequence would involve translating shape I 8 units up and 4 units left, reflecting shape I across the x-axis, then rotating shape I 90 degrees counterclockwise about the origin.

Therefore, the shape I can onto shape II by a sequence of transformations.

Learn more about the graphs here:

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Just need a answer to this

Answers

Answer:

the answer is b 1.4

Step-by-step explanation:

the answer is b , 1.5

answerr 5 & 6 pleaseee

Answers

2 , 10 on here why do we need like 20 characters though

Triangles J K L and P Q R are connected at points K and Q. The lengths of sides J K and Q P are congruent and the lengths of sides K L and K R are congruent. Angles L K J and R Q P are congruent.
Which rigid transformations would map ΔJKL onto ΔPQR? Select the three correct answers.

a reflection only
a rotation only
a rotation and a reflection
a translation and a reflection
a translation only

Answers

Answer:

acd

Step-by-step explanation:

edg 2021

A reflection only, a rotation and a reflection and a translation and a reflection are the transformations that would map ΔJKL onto Δ QPR.

What is Congruency

Triangles that are identical in size and shape are said to be congruent triangles. Inferred from this is that the matching sides and angles are equal. Without checking each of the triangles' sides and angles, we can determine whether the two triangles are congruent.

Rule of Congruency:

1- SAS (Side-Angle-Side): Two triangles are congruent if two sides and the included angle of one triangle are equal to the two sides and the included angle of the other triangle.

2- ASA (Angle-Side-Angle): Two triangles are congruent if two triangles and the included side of one triangle are equal to two angles and the included side of the other triangle.

3- AAS (Angle-Angle-Side): Two triangles are congruent if any two pairs of angles and one pair of corresponding sides are equal.

4- SSS (Side-Side-Side): If three sides of one triangle are equal to the three sides of another triangle, then the two triangles are congruent.

5- RHS (Right angle- Hypotenuse-Side): If in two right triangles the hypotenuse and one side of one triangle are equal to the hypotenuse and one side of the other triangle, then the two triangles are congruent.

Since JK= QP
KL= KR
Angle LKJ= Angle QRP

So Δ LKJ ≅ Δ QRP.

Learn more about Congruency here
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What is the solution for x in the inequality 4−2x>8

Answers

Answer:

X<-2

Step-by-step explanation:

Answer:

x<-2

Step-by-step explanation:

1. Write equation

4-2x>8

2. Combine like terms

-2x>4

3. Divide(and switch ineqaulity sign because the coefficent is negative)

-2x<4

x<-2

465 is what percent of 750?

Answers

Answer:

62

Step-by-step explanation:

The answer is -> 62

You are creating a business to earn some extra income over the summer. You decide to sell one product that costs you $2.50 to make. You have a total of $2,000 to put towards the cost of starting your business.


(Q1.) Does the inequality below represent the above business? Yes No


(Q2.) 2.50a 2,000 where a represents the number of $2.50 items manufactured.


If you selected no, explain why:


(Q3.) How would you go about solving the inequality to know how many items you can manufacture while staying within your $2,000 budget?

Please Help!!!

Answers

Answer:

Step-by-step explanation:

I think this sample work is due today 0^0 but I got yes for the first part and I would  divide 2000 by 2.5 and get get 800 items  please put this in your own words  and I hope this helped you  get the right answer

What is an equation of the line that passes through the point ( 8 , − 4 ) and is parallel to the line x − 4 y = 12 x−4y=12?

Answers

Answer:

as the line is parallel we do not change x-4y what we change is the result x = 8 & y = -4 so the result is 8 - 4 (-4) = 24 so the equation is 24

The domain of the following relation: R: {(-4, 3), (3, 6), (-2, 1), (3, 6)} is (1 point)
A.(1, 3, 6}
B.{-4, 3, -2,3)
C.{-4, -2,3)
D.No domain exists

Answers

Answer:

C. {-4, -2, 3)

Step-by-step explanation:

The domain of a relation is the x - values.

Duplicate numbers are only listed once

(-4,3)

(3,6)

(-2,1)

(3,6)

So {-4, -2, 3)

Can someone help me with the answer please

Answers

Answer:

D - x^2 + 9x +14

Step-by-step explanation:

I typed it into a problem solving website

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