53
Given that the measure of angle Xis 132º, and the measure of angle Yis 55°, find the
measure of Angle z
Here is a 95% confidence interval estimate of the proportion of adults who say that the law goes easy on celebrities: 0.692 < p < 0.748 (based on data from a Rasmussen Reports survey). a.What is the best point estimate of the proportion of adults in the population who say that the law goes easy on celebrities
Answer:
The best point estimate of the proportion of adults in the population who say that the law goes easy on celebrities is 0.72.
Step-by-step explanation:
Confidence interval concepts:
A confidence interval has two bounds, a lower bound and an upper bound.
A confidence interval is symmetric, which means that the point estimate used(best point estimate) is the mid point between these two bounds, that is, the mean of the two bounds.
In this question:
The two bounds are 0.692 and 0.748.
a.What is the best point estimate of the proportion of adults in the population who say that the law goes easy on celebrities.
The mean of the bounds, so:
(0.692+0.748)/2 = 0.72
The best point estimate of the proportion of adults in the population who say that the law goes easy on celebrities is 0.72.
There are 46 students in an elementary statistics class. On the basis of years of experience, the instructor knows that the time needed to grade a randomly chosen first examination paper is a random variable with an expected value of 5 min and a standard deviation of 4 min. (Round your answers to four decimal places.) A button hyperlink to the SALT program that reads: Use SALT. (a) If grading times are independent and the instructor begins grading at 6:50 P.M. and grades continuously, what is the (approximate) probability that he is through grading before the 11:00 P.M. TV news begins
Answer:
0.7704 = 77.04% probability that he is through grading before the 11:00 P.M. TV news begins
Step-by-step explanation:
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score 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 p-value, we get the probability that the value of the measure is greater than X.
Distribution of n values from a normal distribution:
If we take n values from a normally distributed variable, the mean is [tex]\mu*n[/tex], and the standard deviation is [tex]s = \sigma\sqrt{n}[/tex]
There are 46 students in an elementary statistics class. For each student, the mean is of 5 min and a standard deviation of 4 min.
This means that
[tex]\mu = 46*5 = 230[/tex]
[tex]s = 4\sqrt{46} = 27.13[/tex]
(a) If grading times are independent and the instructor begins grading at 6:50 P.M. and grades continuously, what is the (approximate) probability that he is through grading before the 11:00 P.M. TV news begins?
This is the probability that he finishes grading in 4 hours and 10 minutes, that is, 4*60 + 10 = 250 minutes, which is the pvalue of Z when X = 250.
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
In this distribution
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]Z = \frac{250 - 230}{27.13}[/tex]
[tex]Z = 0.74[/tex]
[tex]Z = 0.74[/tex] has a pvalue of 0.7704
0.7704 = 77.04% probability that he is through grading before the 11:00 P.M. TV news begins
I will give you Brainliest and 500 points if you do this please
Answer:
1. C
2. D
Step-by-step explanation:
1.
Pattern A is adding by 2's (1 -> 3, 4 -> 6, 7 -> 9 and so on).
Pattern B is multiplying by 2's (2 -> 4, 3 -> 6, 4 -> 8 and so on).
2.
If 0.25 gallons of paint = 24 ft^2, then 1 gallon will equal?
Set up an equation:
Variable x = area of ft^2 for 1 gallon of paint
0.25/24 = 1/x
Cross multiply
0.25 × x = 24 × 1
0.25x = 24
To make calculations easier, you can convert the decimal into a fraction: 0.25 = 1/4
1/4x = 24
Multiply both sides by 4
1x = 96
x = 96 ft^2
Check your work:
0.25/24 = 1/96
0.25 × 96 = 24 × 1
24 = 24
Correct
2. GIVING BRAINLIEST FOR CORRECT ANSWER WITH EXPLANATION
Answer:
its 5
Step-by-step explanation:
THERE IS A BATTLE BETWEEN THE TWO REPLIES DOWN BELOW! WHO WILL GET THE MOST LIKES?
Answer: Ok Good luck other contestant.
Plz help this is due today i would have done it myself but i totally forgot about these so PLZ HELP AND NO LINKS AND NO GROSS PICTURES OR I REPORT
Answer: That is right
Step-by-step explanation:
Answer:
b) triangle, not regularStep-by-step explanation:
This appears to be a scalene triangle. Therefore, it is a triangle, not regular. This is because scalene triangles have measures that are different on all sides and angles. Therefore, it is irregular.
F(6) = 2(6)^2 + 5 sqrt(6-2)
Answe well this look complicated gimme some time
Step-by-step ex
2.
Find the value of x.
110°
(x + 30)
po
What is the measure of the unknown acute angle in this right triangle?
Answer:
The answer is 54
Step-by-step explanation:
36+90=126
180-126= 54
Answer:
54 degrees
Step-by-step explanation:
A dealer bought a refrigerator for $ 11515. After allowing a discount of 16% on its marked price, he gains 20%. Find the marked price of the refrigerator.
Given:
Cost price of refrigerator = $11515
Discount rate 16% on its marked price.
Profit = 20%
To find:
The marked price of the refrigerator.
Solution:
The cost price (C.P.) is $11515 and the profit percent is 20%. So, the selling price is:
[tex]S.P.=C.P.+20\%\text{ of }C.P.[/tex]
[tex]S.P.=11515+\dfrac{20}{100}(11515)[/tex]
[tex]S.P.=11515+2303[/tex]
[tex]S.P.=13818[/tex]
Let x be the marked price of the refrigerator. Then,
[tex]S.P.=x-16\%\text{ of }x[/tex]
[tex]13818=x-\dfrac{16}{100}x[/tex]
[tex]13818=x-0.16x[/tex]
[tex]13818=0.84x[/tex]
Divide both sides by 0.84.
[tex]\dfrac{13818}{0.84}=x[/tex]
[tex]16450=x[/tex]
Therefore, the marked price of the refrigerator is $16450.
Find the angular size of a circular object with a 1-inch diameter viewed from a distance of 4 yards.
The angular size of the object is Iº.
(Do not round until the final answer. Then round to the nearest hundredth as needed.)
Answer:
0.40°Step-by-step explanation:
4 yards = 4*36 in = 144 inAngle is x
tan(x/2) = 1/2 * 1/144x/2 = arctan (1/288)x /2 = 0.1989428794619145°x = 2*0.1989428794619145°x = 0.39788575892° x = 0.40° (rounded)ratio of 5 cm to 25 cm.
C/
2.
Answer:
1:5
Step-by-step explanation:
5/5 and 25/5
so 1:5
graph the line with y-intercept 5 and slope 2
Answer: y = mx + b
Step-by-step explanation:
Answer:
y=mx+b
Step-by-step explanation:
Hope it helps u
FOLLOW MY ACCOUNT PLS PLS
how do you do this I really need some help!please
Answer:
It is correct for 5. Incorrect for 6. Lastly, correct for 7.
Answer:
yes
no
yes
Step-by-step explanation:
you plug in the 3 into the x, because x=3 so therefore 3+5>7 which becomes 8>7. Is 8 more than 7? yes! so its true. For the next, 7>12, thats not true. And for the last one, 10-7<5, so 3<5, which is true.
what is the volume of the triangular prism with b=7in, h=5in and H=12.7in?
Answer:
444.5 in³
Step-by-step explanation:
This is a quite interesting question.
Here are some formulas to help you,
Volume= L*b*h
Height = Volume/ L*b
Length= Volume/h*b
Breadth= Volume/l*h
For this question, we will consider the first formula.
Volume= Length* Breadth* Height
Volume= 5 in * 7 in * 12.7
Volume= 444.5 in³
1) 14, 16, 18, 20, 22, ...
A) 29, 32, 35 B) 24, 26, 28
C) 34, 38, 42 D) 28, 31, 34
Answer:
What should we do the question pls
A popcorn cup is in the shape of a cone. The slant height of the cone is 9 inches, and the diameter is 6.2 inches. What is the volume of the cone? Use pi equals 3.14.
Answer:
V = 262.61 m³
Step-by-step explanation:
Given: Slant height of the cone is 9 inches, the diameter is 6.2 inches.
Formula: The formula for the volume of a cone is V = 1/3hπr².
Solve: V = 262.610935 m³
Solve for x
Can someone please help??I've been stuck on this for far to long
Answer:
x = 7
Step-by-step explanation:
We need to find the value of x in the given figure. It can be calculated using ratio.
We know that,
4+3 = 7
Taking ratios,
[tex]\dfrac{7}{3}=\dfrac{14}{x-1}[/tex]
or
[tex]\dfrac{1}{3}=\dfrac{2}{x-1}\\\\x-1=6\\\\x=6+1\\\\x=7[/tex]
So, the value of x is equal to 7.
Andrew has 2 cats and 9 dogs. He writes the ratio 2:9. What does this ratio mean? *
Answer:
it means that for every two cats there are nine dogs, so if they were four cats there'll be 18 dogs and so on
Answer:
Two cats per nine dogs
Step-by-step explanation:
The ratio is two cats to nine dogs, meaning that for every two cats, there are nine dogs, and vice versa. This applies to any ratio. Hope this helps! Feel free to ask any questions!
PLease give me answer ASAP
Answer:
Step-by-step explanation:
Answer:
the answer is get noob..........
!NO LINKS, NO FILES!
please :)
Answer:
B...?
Step-by-step explanation:
Either B or D so use your skills to find out ;)
What is the probability of drawing a blue gumdrop from a candy jar if it contains 6 green, 7 yellow, 1 white and 4 blue gumdrops?
Which of the following terms correctly describe the object below?
Check all that apply.
A. Polygon
B. Pyramid
C. Triangle
D. Prism
E. Polyhedron
F. Square
Answer:
pyramid, solid, polyhedron
Step-by-step explanation:
The given figure is a pyramid.
What is a pyramid?A pyramid is a three-dimensional shape. A pyramid has a polygonal base and flat triangular faces, which join at a common point. A pyramid is formed by connecting the bases to a vertex. Each edge of the base is connected to the vertex, and forms the triangular face, called the lateral face.
The given figure is a square pyramid, since it has a square base where all the edges are joined at a common vertex by four triangular faces. A square pyramid characterized by a square base is a three-dimensional shape having five faces, thus called a pentahedron. The most famous example of such a square pyramid is the Great Pyramid of Giza.
Learn more about pyramid here
https://brainly.com/question/13057463
#SPJ2
34 in. 14 in. What is the area of the triangle?
A ball rebounds 70% of its original height. It is dropped from an initial height of 400 cm.
Answer:
280cm
Step-by-step explanation:
Given data
Robound= 70%
Initial height= 400cm
Let us calculate the final height after the rebound
=70/100*400
=0.7*400
=280cm
Hence the new height after the rebound is
280cm
A large fish tank measures 24 x 12 x 16 inches. If the tank is filled to the top, how much water will fill the tank?
Answer:
4608
Step-by-step explanation:
24 x 12 x 16 = 4608
PLEASE HELP————————-
Find the volume.
pls help!
Answer:
(8*6*8)÷2=192ft^3
Step-by-step explanation:
find the volume like you would a rectangular cube and then devide it in half. so L*H*W/2
A newspaper conducted a statewide survey concerning a proposal to raise taxes to prevent budget cuts to education. The newspaper took a random sample (assume it is an SRS) of 1200 registered voters and found that 580 would vote to raise taxes. Let p represent the proportion of registered voters in the state that would vote to raise taxes.Reference: Ref 20-4How large a sample n would you need to estimate p with margin of error 0.01 with 90% confidence
Answer:
A sample of 6758 would be needed.
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.
[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
In which
z is the zscore that has a pvalue of [tex]1 - \frac{\alpha}{2}[/tex].
The margin of error is:
[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
The newspaper took a random sample (assume it is an SRS) of 1200 registered voters and found that 580 would vote to raise taxes.
This means that [tex]\pi = \frac{580}{1200} = 0.4833[/tex]
90% confidence level
So [tex]\alpha = 0.1[/tex], z is the value of Z that has a pvalue of [tex]1 - \frac{0.1}{2} = 0.95[/tex], so [tex]Z = 1.645[/tex].
How large a sample n would you need to estimate p with margin of error 0.01 with 90% confidence?
This is n for which M = 0.01. So
[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
[tex]0.01 = 1.645\sqrt{\frac{0.4833*0.5167}{n}}[/tex]
[tex]0.01\sqrt{n} = 1.645\sqrt{0.4833*0.5167}[/tex]
[tex]\sqrt{n} = \frac{1.645\sqrt{0.4833*0.5167}}{0.01}[/tex]
[tex](\sqrt{n})^2 = (\frac{1.645\sqrt{0.4833*0.5167}}{0.01})^2[/tex]
[tex]n = 6757.5[/tex]
Rounding up:
A sample of 6758 would be needed.