Answer:
Step-by-step explanation:
Confidence interval is written as
Sample proportion ± margin of error
Margin of error = z × √pq/n
Where
z represents the z score corresponding to the confidence level
p = sample proportion. It also means probability of success
q = probability of failure
q = 1 - p
p = x/n
Where
n represents the number of samples
x represents the number of success
From the information given,
n = 500
p = 0.58
q = 1 - 0.58 = 0.42
To determine the z score, we subtract the confidence level from 100% to get α
α = 1 - 0.95 = 0.05
α/2 = 0.05/2 = 0.025
This is the area in each tail. Since we want the area in the middle, it becomes
1 - 0.025 = 0.975
The z score corresponding to the area on the z table is 1.96. Thus, the z score for a confidence level of 95% is 1.96
Therefore, the margin of error of the population proportion estimation for a 95% confidence interval is
1.96√(0.58)(0.42)/500 = 0.043
11. If AD = 8 centimeters, what is BD?
A. 4 cm
B. 6 cm
C. 8 cm
D. 10 cm
(+3
+(+2)
help me with directed numbers pls
Answer:
5
Step-by-step explanation:
(+3 + (+2))
Remove the brackets.
3 + (+2)
3 + 2
Add the numbers.
= 5
Answer:
+5 or 5
Step-by-step explanation:
(+3)+(+2)
=> According to the rule, ( + )( + ) = ( + )
So,
=> +3+2
=> +5
please simplify this equation
Answer:
2a + 8√b
Step-by-step explanation:
√9a² = 3a
√49b = 7√b
and
3a + 7√b - a + √b = 2a + 8√b
HELP PRAGYA! (x+6)(x-9)
Answer:
x^2-3x-54
Step-by-step explanation:
Once again FOIL is the way to go!
First, Outside, Inside, Last
x^2-3x-54
Answer:
[tex]x^2-3x-54[/tex]
Step-by-step explanation:
=> (x+6)(x-9)
USING FOIL
=> [tex]x^2-9x+6x-54[/tex]
=> [tex]x^2-3x-54[/tex]
A toy falls from a window 80 feet above the ground. How long does it take the toy to hit the ground?
Answer:
2.24 s
Step-by-step explanation:
Given:
Δy = 80 ft
v₀ = 0 ft/s
a = 32 ft/s²
Find: t
Δy = v₀ t + ½ at²
80 ft = (0 ft/s) t + ½ (32 ft/s²) t²
t = 2.24 s
a solution to the inequality n ÷ 4 – 125 > 300
Answer:
n > 1700
Step-by-step explanation:
n ÷ 4 – 125 > 300
Add 125 to both sides.
n ÷ 4 > 425
Multiply both sides by 4.
n > 1700
Answer:
n > 1700
Step-by-step explanation:
n ÷ 4 - 125 > 300
Add 125 to both parts.
n ÷ 4 > 300 + 125
n ÷ 4 > 425
Multiply both sides with 4.
n > 425 × 4
n > 1700
There is 278 calories for 100g of kiri cheese, each portion of kiri cheese has 46 calories. how many kiri portions do I need to equal 50g?
Answer:
Two Portions!!!
Step-by-step explanation:
Find the mean for the given sample data. Unless indicated otherwise, round your answer to one more decimal place than is present in the original data values. Andrew asked seven of his friends how many cousins they had. The results are listed below. Find the mean number of cousins. 15 12 5 14 4 4 6
Answer:
8.57Step-by-step explanation:
Mean is defined as the ratio of the total sum of all the given datas to the total number of data present. It is expressed mathematically as;
[tex]\overline x = \frac{ \sum Xi}{N}[/tex] where;
[tex]\overline x = mean\\Xi= individual \ data\\N = total\ amount\ of \ data[/tex]
Given N = 7
[tex]\overline x = \frac{15+12+5+14+4+4+6}{7}[/tex]
[tex]\overline x= \frac{60}{7} \\\overline x = 8.57[/tex]
The mean number of cousins is 8.57
look at the figure below:
Answer: A) ΔABD ≡ ΔECD
Step-by-step explanation:
Match up the letters of the congruent sides.
AD = ED and BD = CD
A D B D → ABD
E D C D → ECD
This can be written in any order as long as the letters are matched properly. A & E, D & D, B & C
ADB or BDA or ...
EDC CDE
The only correct option provided is option A.
Answer:
Answer is option 1)
Answer is given below with explanations.
Step-by-step explanation:
[tex]triangle \: ABD \: and \: triangle \:ECD \: are \: congruent \\ length \: of \: BD \: = \: length \: of \: CD \\ \: and \: also \\ length \: of \: AD = length \: of \: ED \\ angle \: BDA \: = \: angle \: CDE \\ by \: \: side \: - angle - side \: postulate \\ triangle \: ABD \: and \: triangle \:ECD \: are \: congruent.[/tex]
HAVE A NICE DAY!
THANKS FOR GIVING ME THE OPPORTUNITY TO ANSWER YOUR QUESTION.
What is the value of a
Answer:
45°
Step-by-step explanation:
The value of "a" is 45°
both are congruent angles
7. Consider the function g(x) = x^2 + 6x + 5. Now consider the quadratic function h(x), which has values given in the table of values below. Which function has a greater y-intercept?
Answer:
h(X) has a greater y-intercept.Option C is the correct option
Step-by-step explanation:
The y-intercept is the value of the function where X is 0. For g(X) , y-intercept is 5 while the y-intercept of h(X) is 9.
So, h(X) has a greater y-intercept.
Hope this helps...
Good luck on your assignment..
Answer:
h(x) has a greater y-intercept.
Step-by-step explanation:
If 1 card is drawn at random from a standard 52-card deck, what is the probability that the card drawn is a king?
Answer:
1/13 chance or roughly 7.7% chance.
Step-by-step explanation:
There are 4 Kings in a standard 52-card deck. If one King was to be pulled out, you'd get a probability of 4/52 chance of pulling a king. Simplified, 4/52 is 1/13 chance.
Form three equations starting with x=1/2
Answer:
Step-by-step explanation:
x - 1/2 =0
2x = 1
4x = 2
Answer:
x + 3 = 7/2
100x = 50
16/x = 24
Step-by-step explanation:
The value of x is 1/2 in the three equations.
Find the gradient of the line 2y = 8x + 1
Find the y-intercept of the line 4y + 8x = -8
Bonus = Does the point (1 ,12) lie on the line y = 3x + 8 ? =
Does the point (-2 ,10) lie on the line y = 14 + 2x
Answer:
gradient=4 y intersept: B(0;-2) Point (1;12) doesn't lie on y=3x+8
(-2,10) lies on the line y=14+2x
Step-by-step explanation:
2y=8x+1 => divide both sides by 2=> y=4x+1/2 => gradient = 4
4y+8x= -8 => 4y= -8-8x => y=-2-2x . -2 - I indicated this number with the bold ( this ratio is the y coordinate of y- intersept. x coordinate=0
So the y-intersept is (0;-2)
We have a point (1;12) 1 is x coordinate of the point and 12 is y coordinate.
Put 1 and 12 instead x and y in the given formula. If we get the correct expression => the point lies on the line, if the expression is false=> doesn't lie on the line.
Now lets check !
12=3*1+8
12= 11 - false => the point (1;12) doesn't lie on y=3x+8
Similarly proceed: 10=14+2*(2)
10=14-4
10=10 - right ! Point (-2;10) lies on y=14+2x
What is the distance between (4.7) and (2, 2)?
Answer:
=√29
Distance between (4,7) and (2,2) : =√29
Steps:
Compute the distance between (ˣ1,y1) , (ˣ2,y2) : √ (₂-ˣ1) ² + (y₂-y₁)²
The distance between (4,7) and (2,2) is
= √ ( 2-4) ² + (2-7)²
√ ( 2-4) ² + (2-7) ² =√29
=√29
Please mark brainliest
Hope this helps.
Shopping at discount clothing stores can save you a lot of money. Felicia recently bought a jacket
at a discount store for $20 that would normally cost $60 at a retail store. What percent discount
off the retail price did Felicia get the jacket for?
Answer:
33.33%
Step-by-step explanation:
use a proportion
20/60 =10/30=1/3=33.333%
hope this helped!
What is the vertex of the function f(x)=2x2+12 x +10?
Answer:
Vertex: (-3. -8)
Step-by-step explanation:
Quickest and easiest way to do this is to using a graphing calc and graph the function. Once you have done so, trace the graph to the lowest point of the graph. You should be able to see that (-3, -8) is your answer.
Alternatively, you can convert this function into f(x) = a(bx - h)² + k (by Completing the Square) form to find (-h, k) as your vertex.
72/10 is equal to what decimal?
Answer:
7.2
Step-by-step explanation:
Since 72 goes into 10 7 times, we do have 7 point something. We are left with 2/10ths, which is 0.2, so we add them together to get 7.2.
iranda is conducting a poll to determine how many students would attend a students-only school dance if one was held. Which sample is most likely to yield a representative sample for the poll? twenty names from each grade pulled blindly from a container filled with the names of the entire student body written on slips of paper every tenth person walking down Main Street in town at different times of the day all of the students who write into the school newspaper every student from all of Miranda’s classes
Answer: 20 names from each grade
Step-by-step explanation:
The two answers it comes down to are between every student from all of her classes and 20 students from each grade, however since the poll wants to determine how many people across the entire student body would attend, pulling from just Miranda's classes would add a grade level bias to the dance and would not be entirely random. 20 students from each grade is completely unbiased and properly represents the entire student body.
Answer:
20 names each grade
Step-by-step explanation:
In a random sample of 300 attendees of a minor league baseball game, 182 said that they bought food from the concession stand. Create a 90% confidence interval for the proportion of fans who bought food from the concession stand. Use a TI-83, TI-83 plus, or TI-84 calculator, rounding your answers to three decimal places.
Answer:
90% confidence interval for the proportion of fans who bought food from the concession stand
(0.5603,0.6529)
Step-by-step explanation:
Step(i):-
Given sample size 'n' =300
Given data random sample of 300 attendees of a minor league baseball game, 182 said that they bought food from the concession stand.
Given sample proportion
[tex]p^{-} = \frac{x}{n} = \frac{182}{300} =0.606[/tex]
level of significance = 90% or 0.10
Z₀.₁₀ = 1.645
90% confidence interval for the proportion is determined by
[tex](p^{-} - Z_{0.10}\sqrt{\frac{p(1-p)}{n} } , p^{-} +Z_{0.10}\sqrt{\frac{p(1-p)}{n} })[/tex]
[tex](0.6066 - 1.645\sqrt{\frac{0.6066(1-0.6066)}{300} } ,0.6066+1.645\sqrt{\frac{0.6066(1-0.6066)}{300} })[/tex]
(0.6066 - 0.0463 ,0.6066 + 0.0463)
(0.5603,0.6529)
final answer:-
90% confidence interval for the proportion of fans who bought food from the concession stand
(0.5603,0.6529)
A factory received a shipment of 22 flanges, and the vendor who sold the items knows there are 6 flanges in the shipment that are defective. Before the receiving foreman accepts the delivery, he samples the shipment, and if too many of the flanges in the sample are defective, he will refuse the shipment.For each of the following, give your responses as reduced fractions.A. If a sample of 5 flanges is selected, find the probability that all in the sample are defective.B. If a sample of 5 flanges is selected, find the probability that none in the sample are defective.
Answer:
A. 1/4,389
B. 728/4,389
Step-by-step explanation:
Total number of flanges = 22
Defective flanges = 6
Non-defective flanges = 16
A. The probability that all in the sample are defective is given by:
[tex]P(d=5)=\frac{6}{22}*\frac{5}{21}*\frac{4}{20}*\frac{3}{19} *\frac{2}{18}\\P(d=5)=\frac{1}{11}*\frac{1}{7}*\frac{1}{1}*\frac{1}{19} *\frac{1}{3}\\P(d=5)=\frac{1}{4,389}[/tex]
The probability is 1/4,389.
B. The probability that none in the sample are defective is given by:
[tex]P(d=0)=\frac{16}{22}*\frac{15}{21}*\frac{14}{20}*\frac{13}{19} *\frac{12}{18}\\P(d=0)=\frac{4}{11}*\frac{1}{7}*\frac{7}{1}*\frac{13}{19} *\frac{2}{3}\\P(d=0)=\frac{728}{4,389}[/tex]
The probability is 728/4,389.
Suppose we know that a confidence interval for a population proportion is (0.572,0.662), with a sample proportion of p′=0.617. What is the margin of error?
Explanation:
The sample proportion 0.617 is at the exact midpoint of the interval from 0.572 to 0.662
We can confirm this by applying the midpoint formula.
The distance from the center (0.617) to either endpoint will be the margin of error. In other words, it is half the width of the confidence interval
L = lower boundary of confidence interval = 0.572
C = center of confidence interval = 0.617
U = upper boundary of confidence interval = 0.662
We have three methods to find the confidence interval
margin of error = U - C = 0.662-0.617 = 0.045margin of error = C - L = 0.617 - 0.572 = 0.045margin of error = (width)/2 = (U-L)/2 = (0.662-0.572)/2 = 0.045Each yielding the same result of 0.045
With the third method, you don't need to know the center of the confidence interval.
in a controlled laboratory environment a random sample of 10 adults and a random sample of 10 children were tested by a psychologist to determine the room temperature that each person finds most comfortable. The data are summarized below.
Simple Mean Simple Variance
Adults(Population 1) 77.5°F 4.5
Childerns(Population 2) 74.5°F 2.5
If the psychologist wished to test the hypothesisthat children prefer warmer room temperature than adults, which hypothesis would he use?
Answer:
F distribution test
Step-by-step explanation:
He would use the F distribution test. This test is used in comparing the variances of two categorical variables if they are equal. The null hypothesis is rejected if after carrying out the test the results states otherwise.
What is the volume of this aquarium?
Answer:
2,973 in^3
Step-by-step explanation:
3000- large section
27- smaller center cut-out
Answer:
2973 in³
Step-by-step explanation:
volume of cuboid - volume of cube
20*15*10 - 3³
3000 - 27
= 2973
The volume of the aquarium is 2973 in³.
what is the Expected value of the probability distribution also called?
Answer:
The expected value is also known as the expectation, mathematical expectation, mean, average, or first moment.
WHO ELSE HATES MATH LIKE ME!? OR ALGEBRA I SHOULD SAY! UGH!!! :( I NEED A PERSONAL STUDY BUDDY TO HELP ME GET THROUGH THESE TOUGH ?'S :( Brian works in a lab, and fills an empty cylindrical flask with 200 cubic centimeters of liquid. The flask has a radius of 3 cm and a height 12 cm. What percent of the volume of the flask is not filled with liquid? (Use π=3.14 . WHAT IS THE answer rounded to the nearest whole percent.)
Answer:
The answer is 41%.
Step-by-step explanation:
First, you have to find the total volume of the cylindrical flask using the formula. Then, you have to substitute the following values into the formula :
[tex]v = \pi \times {r}^{2} \times h[/tex]
[tex]let \: \pi = 3.14 \\ let \: r = 3 \\ let \: h = 12[/tex]
[tex]v = 3.14 \times {3}^{2} \times 12[/tex]
[tex]v = 3.14 \times 108[/tex]
[tex]v = 339.12 {cm}^{3} [/tex]
Next, given that 200cm³ of liquid is poured into the cylinder. So in order to find the volume of flask that is not filled by liquid, you have to subtract :
[tex]v = 339.12 - 200 = 139.12 {cm}^{3} [/tex]
Lastly, you have to find the percentage :
[tex] \frac{139.12}{339.12} \times 100 = 41\% \: (near. \: whole \: number)[/tex]
8 sump pumps working at the same rate drain a flooded basement in 6
1/4 hours. How long would it take 4 pumps to drain the same amount
from the basement?
Answer:
12 1/2
Explanation:
6 1/4 ÷ 2
= 25/4 × 2/2
= 25 × 2 ÷ 2
= 12 1/2
You want to install a 1 1 yd wide walk around a circular swimming pool. The diameter of the pool is 23 yd. What is the area of the walk? Use 3.14 for pi π.
Complete Question:
You want to install a 1 yd wide walk around a circular swimming pool. The diameter of the pool is 23 yd. What is the area of the walk? Use 3.14 for pi π.
Answer:
75.36 square yard
Step-by-step explanation:
From the question,
The diameter of this circular pool inside is 23 yd.
This means that the radius = Diameter/2 = 23yd/2 = 11.5 yd.
The formula for the area of a circle =
A = πr²
A = π(11.5)²
A =3.14 × 11.5²
A = 415.265 yd²
This is the Area of the inner circle.
We were told in the question also that he wants to install a walk of 1 yard
Hence, the radius of outer circle =
radius of inner circle +length of the walk
11.5yard + 1 yard
= 12.5 yard
A = πr²
A = 3.14 × (12.5)²
A = 490.625yd²
Area of the walk = Area of the Outer circle - Area of the inner circle
= (490.625 - 415.265)yd = 75.36 yd²
Therefore, the area of the walk is 75.36 square yards.
Please help me finish this last one(question) for 21 points.
Step-by-step explanation:
The tables rule is y = x²+x. Thus, the three missing boxes from top to bottom are 6, 5, and 2. Two other rows could be x = 13, y = 182, and x = 0, y = 0.
Hope it helps <3
help asap !! will get branliest.
Answer:
second one
Step-by-step explanation:
The output is result we get after applying a rule or a relation
In a function it's labelled y and we get it by inputting a value in the function
The second function fits the definition of an output
Answer:
an output is a special type of of relation for which there is a rule that pairs each input with one output