In a survey of 175 females ages 16 to 24 who have completed
high school during the past 12 months, 72% were enrolled in college. In
survey of 160 males ages 16 to 24 who have completed high school during the
past 12 months, 65% were enrolled in college. At a = 0. 01, can you reject
the claim that there is no difference in the proportion of college enrollees
between the two groups?
There is no significant difference in the proportion of college enrollees between females and males who have completed high school within the past 12 months.
To determine if the difference in proportions is statistically significant or if it could be due to chance.
We will conduct a hypothesis test. Our null hypothesis (H₀) is that there is no difference in the proportion of college enrollees between females and males. Our alternative hypothesis (H₁) is that there is a difference in the proportion of college enrollees between females and males.
We can use a two-sample z-test to test this hypothesis. The formula for the test statistic is:
z = (p₁ - p₂) / √(p'* (1 - p') * ((1 / n₁) + (1 / n₂)))
where p₁ and p₂ are the sample proportions, p' is the pooled proportion, n₁ and n₂ are the sample sizes.
Given, p₁ = 0.72, p₂ = 0.65, n₁ = 175, n₂ = 160
p' = (x₁ + x₂) / (n₁ + n₂)
x₁ = 126 (0.72 * 175) and x₂ = 104 (0.65 * 160).
p' = (126 + 104) / (175 + 160) = 0.684
By applying the above values we get,
z = (0.72 - 0.65) / √(0.684 * (1 - 0.684) * ((1 / 175) + (1 / 160))) ≈ 2.11
The critical value for a two-tailed test with alpha = 0.01 is approximately ±2.58. Since our calculated z-value (2.11) is less than the critical value, we fail to reject the null hypothesis. This means that there is not enough evidence to conclude that there is a significant difference in the proportion of college enrollees between females and males.
Therefore, there is no significant difference in the proportion of college enrollees between females and males who have completed high school within the past 12 months.
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30 students in a class took a math test 24 students pass the test what percent past
Answer:
80% passed
Step-by-step explanation:
1. 24 out of 30 passed
2. In order to make it a % you have to multiply
3. 100 * 24/30
4. = 2400/30
5. Therefore the answer is 80
Factor completely: 5x^2-11x+6
If you subtract 85 from me the result is 219.What number am I?
Answer:
Step-by-step explanation:
we can do x - 85 = 219 and solve for x by adding 85 to both sides which gives us 304
so our originall number is 304
304 - 85 = 219
hope this helps <3
Which table represents a linear function?
Answer:
the bottom table (1,-5)
Step-by-step explanation:
the equation is y=5x-10
the equation has no multiple powers involved like cubed or squared
Please Help asap!!!
Colin invests £5000 into his bank account.
He receives 10% per year simple interest.
How much will Colin have after 3 years?
Give your answer to the nearest penny where appropriate.
Answer:
Step-by-step explanation:
1500
Answer:
13500
Step-by-step explanation:
It is projected that the population of a certain town will be P(t) = 2t+4t³/2 + 5000
where P(t) is the population and t is the time in months. How fast will the population be increasing in 9 months? Type your answer in the space below.
In 9 months, the population will be increasing at the rate of____people per month.
Mathematical models can provide valuable insights into population dynamics, they should always be interpreted with caution and in conjunction with other sources of data and information.
The given population growth function P(t) = 2t + 4t³/2 + 5000, where t is the time in months and P(t) is the population, can be used to determine how fast the population is increasing at any given time. To do this, we need to take the derivative of P(t) with respect to time (t), which gives us the rate of change of the population with respect to time.
After taking the derivative, we substitute t = 9 to find the rate of population increase after 9 months. The resulting value is 488 people per month, indicating that the population is growing rapidly.
It is important to note that population growth functions are based on assumptions that may or may not hold true in reality. For example, the given function assumes a steady and consistent rate of population growth over time, which may not always be the case due to external factors such as natural disasters, economic conditions, and migration patterns.
Thus, while mathematical models can provide valuable insights into population dynamics, they should always be interpreted with caution and in conjunction with other sources of data and information.
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use the distributive property to write an equivalent expression 5(72-a)
In a right triangle, the length of the hypotenuseis 14 cm and the length of one leg is 8 cm.What is the measure of the other leg?
Since it is a right triangle, we can use the Pythagorean Theorem. This one states that the sum of the squares on the legs of a right triangle is equal to the square on the hypotenuse. In algebraic notation:
\(\begin{gathered} a^2+b^2=c^2 \\ \text{ Where a and b are the legs and c is the hypotenuse of the right triangle.} \end{gathered}\)So, in this case, we have:
\(\begin{gathered} a=8\operatorname{cm} \\ b=? \\ c=14\operatorname{cm} \end{gathered}\)\(\begin{gathered} a^2+b^2=c^2 \\ (8cm)^2+b^2=(14cm)^2 \\ (8)^2cm^2+b^2=(14)^2cm^2 \\ 64cm^2+b^2=196cm^2 \\ \text{ Subtract }64cm^2\text{ from both sides of the equation} \\ 64cm^2+b^2-64cm^2=196cm^2-64cm^2 \\ b^2=132cm^2 \\ \text{ Apply square root to both sides of the equation} \\ \sqrt{b^2}=\sqrt{132cm^2} \\ \boldsymbol{b}\approx\boldsymbol{11.49\operatorname{cm}} \end{gathered}\)Therefore, the measure of the other leg rounded to the nearest hundredth is 11.49 centimeters.
tim wants his mean quiz score to be 90. his first 3 quiz scores were 86, 92, and 94. what score should he make on the 4th quiz in order to have a mean quiz score of exactly 90?
The score to be made on the 4th quiz in order to have a mean quiz score of exactly 90 is equal to 88.
Let us consider the score that Tim needs to get on his fourth quiz be x.
Score he needs to get in order to have a mean quiz score of 90,
Set up an equation using the formula for the mean ,
(mean score) = (sum of scores) / (number of scores)
If Tim wants his mean quiz score to be 90, then we have,
⇒ 90 = (86 + 92 + 94 + x) / 4
Multiplying both sides by 4, we get,
⇒360 = 86 + 92 + 94 + x
Simplifying this equation, we get,
⇒ x = 360 - 272
⇒ x = 88
Therefore, Tim needs to get a score of 88 on his fourth quiz in order to have a mean quiz score of exactly 90.
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What is the volume of a square pyramid with a base length of 4 cm and a height of 8 cm? Round your answer to the nearest tenth.
the answer is 8 ddddddddddddddddddddddddddd
42.7
Step-by-step explanation:
V=1/3base area×height
1/3(4×4)×8
5.333×8
42.7
How many cubes wit a side length of 1/2 foot could he fit Inside the box .
How many cubes wit a side length of 1/8 foot could he fit inside the box
Answer:
12
325
Step-by-step explanation:
When it mentions the word "fit", you use TSA.
TSA cuboid = 2[LH+BH+LH] = 2 [ (2×3/2)+(3/2×7/2)+(2×7/2)] = 2 [ 3 + 21/4 + 7] = 2 [5¼+10] = 2 [15¼] = 2 × 61/4 = 61/2 = 30½ ft²
TSA ½ foot cube = 6L² = 6(½)² = 6×¼ = 2½
Number of cubes = 30.5÷2.5 = 12.2 = 12
TSA ⅛ foot cube = 6(⅛)² = 6×1/64 = 3/32
Number of cubes = 30.5÷3/32 = 325⅓ = 325
need help with question 16
I'm not sure what the answer is but read some books and study also I believe relaxing music helps with homework struggles
4) Solve the inequality and graph the solution. 5 + 9p> -4 1) To draw a ray, plot an endpoint and select an arrow. Select an endpoint to change it from closed to open. Select the middle of the ray to delete it. -5 -4 -3 + -2 + + + -1 0 1 2 3 4 5
The solution of the inequality 5 + 9p> -4 gives the value p > -1.
What is Inequality?Mathematical expressions with inequalities are those in which the two sides are not equal. Unlike to equations, we compare two values in inequality. Less than (or less than or equal to), greater than (or greater than or equal to), or not equal to signs are used in place of the equal sign.
Given:
we have the inequality as
5 + 9p> -4
Now, to solve the inequality subtract 5 from both side
5 + 9p - 5 > -4 -5
9p > -9
Now, divide both side by 9
9p/9 > -9/9
p > -1
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30 POINTS + BRAINLIEST TO FIRST CORRECT ANSWER!
The ratio table below shows the relationship between the number of bricks in a wall and the length of the wall.
Brick Wall
Number of bricks Length (ft)
6 3
8 4
12 6
18 9
When the number of bricks is multiplied by 2, the length is multiplied by
1.
2.
3.
6.
Answer:
The length will be multiplied by 2.
Step-by-step explanation:
By looking at the first and third ratio, we know that the no. of birck have been multiplied by 2 and the length has also been multiplied by 2 .
So when the number of bricks is multiplied by 2, the length is multiplied by 2
Answer:
2Step-by-step explanation:
Using the table we observe the points
(6, 3) and (12, 6)The number of bricks doubled
6*2 = 12, andThe length is doubled accordingly
3*2 = 6So the answer is 2
PLEASE HELP 50 points
Answer:
r > 7 (C)
Step-by-step explanation:
3r−7>14
Step 1: Add 7 to both sides.
3r−7+7>14+7
3r>21
Step 2: Divide both sides by 3.
3r
3
>
21
3
r>7
Hope this helps and makes sense!! Good luck and have a wonderful day! <33
Imagine this < as a alligater and itś eating the greater number!!
Answer:
C.) r ≥ 7
Step-by-step explanation:
1. Add 7 to each side to cancel it out and keep the sign the way it is to avoid confusion
3r - 7 ≥ 14
+ 7 +7
3r ≥ 21
2. Divide each side by 3 to get the variable alone
3r/3 = r
21/3 = 7
r ≥ 7
This means r is greater than or equal to 7, and it can also be written as 7 ≤ r
HELP! 1. The average high temperatures in degrees for a city are listed.
58, 61, 71, 77, 91, 100, 105, 102, 95, 82, 66, 57
If a value of 110.5° is added to the data, how does the mean change and by how much?
The mean increases by 2.3°.
The mean increases by 2.7°.
The means stays at 80.4°.
The mean stays at 82.7°.
2. The average high temperatures in degrees for a city are listed.
58, 61, 71, 77, 91, 100, 105, 102, 95, 82, 66, 57
If a value of 48° is added to the data, how does the median change?
The median stays at 77.9°.
The median stays at 84.4°.
The median decreases to 72°.
The median decreases to 77°.
3. The average high temperatures in degrees for a city are listed.
58, 61, 71, 77, 91, 100, 105, 102, 95, 82, 66, 57
If a value of 71° is changed to 93°, which of the following measures changes the most and what is the new value?
Mean 82.3°
Median 86.5°
Range 48°
IQR 34°
4. The average high temperatures in degrees for a city are listed.
58, 61, 71, 77, 91, 100, 105, 102, 95, 82, 66, 57
If a value of 103° is added to the data, how does the mean change?
The mean increases by 1.7°.
The mean decreases by 1.7°.
The mean increases by 8.6°.
The mean decreases by 8.6°.
Therefore, the mean increases by 2.7°. Therefore, the median stays at 77.9°. Therefore, the median decreases from 86.5° to 88.5°.
What is mean?The mean, also known as the average, is a measure of central tendency in statistics. It is calculated by adding up all the values in a set of data and then dividing the sum by the total number of values.
Here,
1. To find out how adding a value of 110.5° to the data affects the mean, we need to calculate the original mean and then the new mean with the additional value included:
Original mean = (58 + 61 + 71 + 77 + 91 + 100 + 105 + 102 + 95 + 82 + 66 + 57) / 12 ≈ 80.4°
New mean = (58 + 61 + 71 + 77 + 91 + 100 + 105 + 102 + 95 + 82 + 66 + 57 + 110.5) / 13 ≈ 83.1°
Answer: The mean increases by 2.7°.
2. To find out how adding a value of 48° to the data affects the median, we need to first calculate the original median:
Arrange the data in order: 57, 58, 61, 66, 71, 77, 82, 91, 95, 100, 102, 105
The median is the middle value, which is 77.9°
Now, we add 48° to the data:
58, 61, 71, 77, 91, 100, 105, 102, 95, 82, 66, 57, 48
Arrange the data in order: 48, 57, 58, 61, 66, 71, 77, 82, 91, 95, 100, 102, 105
The median is still the middle value, which is 77.9°
Answer: The median stays at 77.9°.
3. If a value of 71° is changed to 93°, the measure that changes the most is the median.
To find the new median, we need to first sort the data:
57, 58, 61, 66, 71, 77, 82, 91, 95, 100, 102, 105
The original median was the average of the two middle values, which were 79 (77 and 82). If we change 71 to 93, the new sorted data would be:
57, 58, 61, 66, 77, 82, 91, 93, 95, 100, 102, 105
The new median would be the average of the two middle values, which are now 88.5 (82 and 91).
4. If a value of 103° is added to the data, the mean increases by 8.6°.
To see this, we first need to calculate the original mean of the data:
(58 + 61 + 71 + 77 + 91 + 100 + 105 + 102 + 95 + 82 + 66 + 57) / 12 = 80.4
Then, we can add 103 to the data and calculate the new mean:
(58 + 61 + 71 + 77 + 91 + 100 + 105 + 102 + 95 + 82 + 66 + 57 + 103) / 13 = 89
The difference between the original mean (80.4) and the new mean (89) is 8.6, so the correct answer is: The mean increases by 8.6°.
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A number increased by 4 is less than 19.
Answer:
23 is the answer u understand
box and whisker with 0,7,2,5,12,2,0,9,8
The whiskers range from 4 to 19 and the box ranges from 7 to 18 with the vertical bar inside the box at 14. Then the correct option is B.
We know that,
The median of the data is the middle value of the data which is also known as the central tendency of the data and is known as the median.
The data set is given as; 12, 10, 16, 19, 18, 14, 4, 18, 4
Arrange the data in the ascending order
4, 4, 10, 12, 14, 16, 18, 18, 19
14 is the middle term that can be treated as a median.
Median = 14
The lowest set of data
4, 4, 10, 12
The lower quartile lies between 4 and 10. Then Q₁ will be
Q₁ = 10+ 4 /2
= 7
Hence, the start of the box is at 7.
The upper set of data
16, 18, 18, 19
The lower quartile lies between 18 and 18. Then Q₃ will be
Q₃ = 18 + 18 /2
= 18
Hence, the box range is between 7 and 18.
The whiskers range from 4 to 19 and the box ranges from 7 to 18 with the vertical bar inside the box at 14. Then the correct option is B.
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complete question:
Which box-and-whisker plot represents the data set?
12, 10, 16, 19, 18, 14, 4, 18, 4
A box and whisker plot. The whiskers range from 4 to 19 and the box ranges from 5 to 12.5 with the vertical bar inside the box at 6.
A box and whisker plot. The whiskers range from 4 to 19 and the box ranges from 7 to 18 with the vertical bar inside the box at 14.
A box and whisker plot. The whiskers range from 4 to 19 and the box ranges from 5 to 14 with the vertical bar inside the box at 7.5.
A box and whisker plot. The whiskers range from 4 to 19 and the box ranges from 6 to 14 with the vertical bar inside the box at 10.
Can a right triangle have sides of length 3,4, and 5
Answer:
yes
Step-by-step explanation:
The equation of a right triangle is the Pythagorean theorum
\(a^2+b^2=c^2\)
Let's say we know 3 and 4:
\(3^2 + 4^2 = c^2\\\\\\9 + 16 = 25\\\\\sqrt{25}=5\)
Solve the system by substitution.
y = 8x
y = 2x – 12
Answer:
x= -2
Step-by-step explanation:
8x = 2x - 12 (because y = 8x)
8x - 2x = -12
6x = - 12
x = -12/6
x = - 2
87% of 70 do not round
Answer:
60.9
Step-by-step explanation:
PLEASE HELP!!!!!!
A baker is looking for a recipe that has the lowest unit rate for flour per batch of muffins.what receipt should she use?
(A 4/8 cup flour for 2/3 batch
(B 2/3 cup flour for 7/8 batch
(C 1/4 cup flour for 2/3 batch
(D 1/3 cup flour for 1/6 batch
Answer:
A. 4/8 cup flour for 2/3 batch.
Step-by-step explanation:
By using the KCF (Keep, change, flip), we can use this to solve for A, B, C, and D to see what answer has the lowest fraction or lowest unit rate for flour per batch of muffins.
Thus, A is the answer since 3/4 is the smallest fraction/number out of all other answers.
the following data are from a simple random sample. 5 8 10 7 10 14 a. what is the point estimate of the population mean? b. what is the point estimate of the population standard deviation?
The point estimate of the population mean is 9
The point estimate of the population standard deviation is 2.83
Part a
Point estimate of population mean:
Given the sample data is 5,8,10,7,10,14
Number of samples, n is 6
Population mean=\(\frac{\sum x }{n}\)
=(5+8+10+7+10+14)/6
=54/6
=9
Point estimate of mean=9
Part b
Point estimate of population standard deviation:
Mean=9
Data (x) (x-mean)^2
5 16
8 1
10 1
7 4
10 1
14 25
Total 48
Standard deviation=√(x-mean)^2/n
=√48/6
=√8
=2.83
Hence, the point estimate of population standard deviation is 2.83
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Find the total surface area of this cone. Leave your answer in terms of T. 12cm 5cm SA = [?]π cm² Hint: Surface Area of a Cone = πre + B Where & slant height, and B = area of the base- Enter Answer
The total surface area of the cone is 67T cm².
Surface Area of the cone = πre + B
Given: radius, r = 5 cm
slant height, e = 12 cm
The base of the cone is a circle with radius r, so B = πr²
B = π(5 cm)² = 25π cm²
Now, let's find πre:
πre = π(5 cm)(12 cm) = 60π cm²
So, the total surface area of the cone is:
SA = πre + B = 60π cm² + 25π cm² = 85π cm²
Finally, substituting π with T/3:
SA = 85π cm² = 85(T/3) cm² = 67T cm² (rounded to the nearest whole number)
A cone is a three-dimensional shape that has a circular base and a curved surface that tapers to a point called the apex. The surface area of a cone is the sum of the areas of its base and its curved surface.
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Why do scientists consider RNA the best candidate for the first life-form? Question 13 options: RNA is capable of self-replication and catalysis. RNA has been created in the lab. RNA carries more information than other molecules. RNA is a simple structure.
RNA's capability to self-replicate and catalyze chemical reactions make it the best candidate for the first life-form.
According to the scientists, RNA is considered the best candidate for the first life-form due to the fact that RNA is capable of self-replication and catalysis. This is possible because RNA can act both as a template to produce copies of itself and also as an enzyme to accelerate chemical reactions. These abilities suggest that RNA could have played a role in the emergence of the first living organisms on Earth.
An RNA molecule has the ability to catalyze reactions, which means that it can speed up chemical reactions without itself being altered. Thus, it is capable of serving as an enzyme. Scientists believe that the first life-form must have been capable of self-replication and catalysis, and RNA is capable of both functions.
This capability is significant because it is fundamental for the origin of life. Hence, RNA is believed to have played a significant role in the emergence of the first living organisms on Earth.
To conclude, RNA's capability to self-replicate and catalyze chemical reactions make it the best candidate for the first life-form.
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RNA is considered the best candidate for the first life-form by scientists because RNA is capable of self-replication and catalysis.
The correct option is the first one due to following reasons:
RNA is capable of self-replication and catalysis. RNA is a nucleic acid composed of nucleotides that are linked through a sugar-phosphate backbone. It can serve as a template for the production of complementary strands, making it capable of self-replication. Furthermore, RNA molecules can act as catalysts, facilitating chemical reactions in the absence of enzymes.RNA is more versatile than other molecules because it is able to store genetic information and catalyze reactions. In the lab, RNA has been created to catalyze reactions and replicate, providing evidence of its capacity for self-replication and catalysis.As a result, scientists believe that RNA may have played a crucial role in the origins of life on Earth.
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What is the geometry around the central atom in the tert-butyl anion? a molecule with smiles string c[c-](c)c trigonal pyramidal bent trigonal planar trigonal bipyramidal t-shaped
The correct option is "trigonal pyramidal"
The geometry around the central atom in the tert-butyl anion is trigonal pyramidal.
What is tert-butyl anion?The third form has three carbons single bonded to a fourth carbon in the center, and the rest of a molecule is connected to the center carbon. In common parlance, this configuration is known as t-butyl or tert-butyl.
Some key features regarding the trigonal pyramidal are-
Trigonal planar is one molecular geometry that occurs if there are three bonds but no lone pairs in the molecule's central atom. The pairs have been arranged in a 120-degree angle along the central atom's equator. Sp²d hybridization occurs at the central atom of molecules with this geometry. This is the geometry of a tert-butyl radical's central carbon atom.To know more about trigonal pyramidal, here
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simplify (3mn)4 (with work please)
Answer:
12mn
Step-by-step explanation:
Just multiply 4 by 3
Systems requests do not deal with factors involved in improving service.
a. true
b. false
Select all that apply. If r is < 0, then lambda must be:
A) Less than 0
B) Less than 1
C) Greater than 1
D) Greater than 0
E) Equal to 0
F) Equal to 1
If r is < 0, then lambda must be: Less than 0, Less than 1, Greater than 1 and Greater than 0. The correct answers are: A), B), C), and D).
Recall that the exponential growth or decay model is given by the function:
\(y = y0 * e^(rt)\)
where y0 is the initial value of the function, r is the rate of change (growth or decay), t is the time, and e is the mathematical constant approximately equal to 2.71828.
If r < 0, then the function represents exponential decay, and we have:
\(y = y0 * e^(rt)\)
y/y0 = e^(rt)
Taking the natural logarithm of both sides, we get:
ln(y/y0) = rt
r = (1/t) * ln(y/y0)
Since ln(y/y0) is the natural logarithm of a ratio, it can take any real value. Therefore, r can take any negative value, and there is no restriction on the value of lambda (which is\(e^r\)).
So, the correct answers are: A), B), C), and D).
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