Answer:
can't see it clearly sorry about that
At a particular university, statistics students miss a mean of 2.1 days of school each semester with a standard deviation of 2.5 days. What is the probability that the mean number of days missed for a random sample of 64 students will be more than 3
Answer:
0.0018
Step-by-step explanation:
P(z>2.88)=1-0.9980= 0.0018
A well-known basketball coach has coached at the same university for 20 years. After what
seems like an infinite number of seasons, he finds that the mean number of points his teams score
is 72. One year he has an exceptionally tall team. The coach wants to know if the taller team
results in a greater number of points scored. Assume 72 to be the population mean with the
population variance unknown. The taller téam's scores are: '80, 88, 74, 82, 89, 90, 68, 95, 96, 72,
73 (it was a short season).
State the null and research hypotheses.
1) Report degrees of freedom (if applicable).:
2) Report the critical value using alpha= .05.:
3) Calculate the test statistics. :
4) In two or three sentences, briefly explain the results
(This includes your decision concerning the null hypothesis). :
Null hypothesis: The mean number of points scored by the taller team is not significantly different from the population mean of 72.
How did we determine the test statistic?Alternative hypothesis: The mean number of points scored by the taller team is significantly greater than the population mean of 72.
Since the population variance is unknown, we will use a t-test. The degrees of freedom for this test will be 9 (n-1), where n is the sample size of the taller team (10).
Using an alpha level of 0.05 and 9 degrees of freedom, the critical t-value is 1.833.
To calculate the test statistic, we first need to find the sample mean and standard deviation of the taller team's scores. The sample mean is 82, and the sample standard deviation is 9.89. Using these values, we can calculate the t-value:
t = (82-72) / (9.89 / sqrt(10)) = 3.19
Since the calculated t-value (3.19) is greater than the critical t-value (1.833), we reject the null hypothesis and conclude that there is a significant difference between the mean number of points scored by the taller team and the population mean of 72. The coach can therefore conclude that having a taller team does result in a greater number of points scored.
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Can you help me on these questions?
Answer:
1. 5m - 10
2. 18p - 1
3. 48x + 6
4. -5(7x+ 6)
5. 18y - 3
6. 3.2z + 0.64
7. 2(4w - 16)
8. 2.2(x + 1)
9. 100z² - 538
24
10. — y³
4
and pls mark brainliest
Write a number patttern that follows the rule subtract 6 and also has all odd numbers. the number patttern should be at least 4 numbers long
I had to edit my answer bc it was wrong ignore this block teehee sorry
Answer:
99, 93, 87, 81
Step-by-step explanation:
(q13) You invest in a fund and it is expected to generate $3,000 per year for the next 5 years. Find the present value of the investment if the interest rate is 4% per year compounded continuously.
The present value of the investment in the fund is $2,455.32.
In order to calculate the present value of the investment in a fund, which is expected to generate $3,000 per year for the next 5 years with an interest rate of 4% per year compounded continuously,
we can use the formula for the present value of an annuity:
PV = A / r,
where PV is the present value, A is the annuity payment, and r is the interest rate.
However, since the interest rate is compounded continuously, we need to use the formula PV = A / e^(rt),
where e is the constant 2.71828, t is the time period in years, and r is the interest rate.
In this case, A = $3,000, r = 4%, and t = 5 years.
Therefore, the present value of the investment is:
PV = $3,000 / e^(0.04 x 5)
= $3,000 / e^(0.2)
= $3,000 / 1.2214
= $2,455.32 (rounded to the nearest cent).
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Use the distance that these 9 students skimmer cars traveled in inches to calculate the MIDDLE 50%
468, 376, 540, 198, 230, 531, 281, 426, 346
a. 458 - 353.3
b. 255.5 - 499.5
c. 281 - 468
d. 230 - 531
9514 1404 393
Answer:
b. 255.5 to 499.5
Step-by-step explanation:
The middle 50% is the range between the first and third quartiles. In this group of 9 numbers, the first quartile is the average of numbers 2 and 3 when the numbers are listed from smallest to largest.
first quartile = (230 +281)/2 = 255.5 . . . . . . matches answer choice B
The third quartile is the average of numbers 7 and 8:
third quartile = (468 +531)/2 = 499.5 . . . . . also matches answer choice B
The middle 50% is 255.5 to 499.5.
_____
When I put the numbers in order, I get ...
198 230 ^ 281 246 376 426 468 ^ 531 540
^ indicates that the quartile here is the average of the adjacent numbers
bold indicates the median (2nd quartile)
A physical therapist wants to determine the difference in the proportion of men and women who participate in regular sustained physical activity. What sample size should be obtained if she wishes the estimate to be within three percentage points with 99% confidence, assuming that (a) she uses the estimates of 22.6% male and 18.1% female from a previous year
Answer:
A sample size of 1380 should be obtained.
Step-by-step explanation:
Minimum sample size:
The minimum sample size is of:
\(n = (\frac{z}{E})^2(p_1(1-p_1) + p_2(1-p_2))\)
In which z is the critical value, related to the confidence level, E is the desired margin of error, \(p_1\) and \(p_2\) are the proportions.
99% confidence level
So \(\alpha = 0.01\), z is the value of Z that has a pvalue of \(1 - \frac{0.01}{2} = 0.995\), so \(Z = 2.575\).
Estimates of 22.6% male and 18.1% female from a previous year
This means that \(p_1 = 0.226, p_2 = 0.181\).
Within 3 percentage points, minimum sample size:
This is n for which \(E = 0.03\). So
\(n = (\frac{z}{E})^2(p_1(1-p_1) + p_2(1-p_2))\)
\(n = (\frac{1.96}{0.03})^2(0.226*0.774 + 0.181*0.819)\)
\(n = 1379.4\)
Rounding up:
A sample size of 1380 should be obtained.
____(4 - 2) = 8
Fill in the missing factor. Please help
The population of a city increases by 1.5% per year. What should we multiply the
current population by to find the next year's population in one step?
Answer:
8
Step-by-step explanation:
help i don't know what i doing
30m3n4-5m4complete factored form of the polynomial
Factor of polynomial m are 0, 6n⁴.
What is polynomial in maths?
A polynomial is an expression in mathematics made up of variables (also known as indeterminates) and coefficients, and it only uses the operations addition, subtraction, multiplication, and non-negative integer exponentiation of the variables. The polynomial x2 4x + 7 is an illustration of one with a single indeterminate x.
= 30m³n⁴ - 5m⁴
= 5m³(6n⁴ - m )
let 5m³(6n⁴ - m ) = 0
5m³ = 0
m = 0
6n⁴ - m = 0
m = 6n⁴
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what is the rule for the reflection
Answer:
i think the answer is R y-axis(x,y)=(x,-y).
hope get it...
Please help me with this, going to take an exam on these tomorrow, wish me luck.
The Cartesian equation of the parametric formulae is x² - y² = 1. Please see the image attached below for further details of the behavior of the function.
How to analyze and to graph a hyperbolic parametric function
In this question we have an hyperbolic function, a kind of transcendent function based on exponential functions. The parametric equations can be rewritten in rectangular coordinates by the using the following property:
sinh² t - cosh² t = 1 (1)
x² - y² = 1
The graph of the Cartesian equation is present in the figure attached below, in which the directions are shown in detail.
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There is exactly one real x ∈ (0, π/2) such that (tan²x/2)(cot⁴x+1)(csc²x+tan²x)=1. Find the positive integer k such that, cos²⁰¹⁹x=sinᵏx.
The positive integer for the trigonometric equation is k = 2
Given data ,
There is exactly one real x ∈ (0, π/2) such that (tan²x/2)(cot⁴x+1) ( csc²x+tan²x)=1
On simplifying , we get
(tan²x/2)(cot⁴x+1)(csc²x+tan²x) = 1
(sin²x/cos²x)(cos⁴x/sin⁴x + 1)(1/sin²x + sin²x/cos²x) = 1
(sin²x/cos²x)(1/cos⁴x + sin⁴x/cos⁴x + 1/sin²x + sin⁴x/cos²x) = 1
(sin²x/cos²x)((1+sin⁴x)/cos⁴x + 1/sin²x + sin⁴x/cos²x) = 1
(sin⁶x + sin⁴x cos²x + cos⁶x)/(sin²x cos⁴x) = 1
On further simplification of the trigonometric relation , we get
(sin²x + cos²x)²/(sin²x cos⁴x) = 1
(1/cos⁴x) + (2/sin²x cos²x) + (1/sin⁴x) = 1
Multiplying both sides by sin⁴x cos⁴x, we get:
sin⁴x + 2 cos²x + cos⁴x = sin⁴x cos⁴x
Simplifying further, we get:
cos⁴x - 2 cos²x + sin⁴x = 0
Let y = cos²x. Then, the above equation becomes:
y² - 2y + (1 - y)² = 0
Expanding and simplifying, we get:
y² - 2y + 1 = 0
This is a quadratic equation with solutions y = 1 and y = 1/2. Since x is in the interval (0, π/2), we can take y = cos²x = 1/2.
Now, we have cos²x = 1/2 and sin²x = 1 - cos²x = 1/2. Therefore, we can write:
cos²(2019x) = cos²x⁴ = (cos²x)²² = (1/2)²² = 2⁻⁴
sinⁿx = (sin²x)^(n/2) = (1/2)^(n/2)
So, we need to find the positive integer k such that cos²(2019x) = sinᵏx. Substituting the values of cos²x and sin²x, we get:
2⁻⁴ = (1/2)^(k/2)
2⁻⁴ = 2^(-2k)
-4 = -2k
k = 2
Hence , the positive integer k is 2
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I’m stuck I need you to do it
Answer: The length of the prism is 8 yards
Step-by-step explanation:
First, take the volume of the prism, divide it by the width (2 1/2). Once you get that divide that answer by height (5 3/4) getting you the length of the prism (8 yards)
Determine the whole number of standard deviations from the mean that include all
data values.
The mean price of the nonfiction books on a best-sellers list is $25.07; the standard
deviation is $2.62.
$26.95, $22.95, $24.00, $24.95, $29.95, $19.95, $24.95, $24.00, $27.95, $25.00
The number of standard deviations from the mean that include all
data values is two.
Standard Deviation could be a live that shows what proportion variation (such as unfold, dispersion, spread,) from the mean exists. the quality deviation indicates a “typical” deviation from the mean.it's a well-liked live of variability as a result of it returns to the initial units of live of the information setFrom the gathering of information, we will see that the minimum worth is $19.95 and also the most worth is $29.95. So , we would like to seek out the amount of normal deviations, let's decision it "a" , such that\(\overline x $\color \ - a\cdot\sigma \le 19.95}\) and \(\overline x $\color \ +a\cdot\sigma \geq 29.95}\)
Use the given values of mean \(\overline x\) and normal deviation (σ) to notice the worth of "a".
\(\overline x $\color \ - a\cdot\sigma \le 19.95}\\25.07\ - 2.62a \leq 19.95\\5.12\leq 2.62a\\1.9541\leq a\)
On rounding off we get a = 2
Checking another inequality
\(\overline x $\color \ + a\cdot\sigma \geq 29.95}\\25.07 \ + 2(2.62) \geq 29.95\\25.07 + 5.24 \geq 29.95\\30.31\geq 29.95\)
Thus , 2 standard deviation include the all values from the given set of data .
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The line plot represents the afterschool activities at 15 middle schools.
A horizontal number line starting at 0 and increasing by units of two up to 30. There is one dot above 4, 6, 14, and 28. There are two dots above 10, 12, 18, and 22. There are three dots above 16. The title is Afterschool Activities, and the number line is labeled Number of Activities.
Which statement best describes the spread and distribution of the data?
The data is symmetric with an approximate range of 24. The most frequent number of activities was 16, which might mean about half of each class participated.
The data is skewed with an approximate range of 24. The most frequent number of activities was 10, which might mean there are 10 different sports and clubs for middle school students that are the most popular.
The data is bimodal with an approximate range of 24. The most frequent number of activities was either 16 or 28, which might show that the entire class needed to choose an activity.
The data is symmetric with an approximate range of 24. The most frequent number of activities was less than 10, which might mean that the schools do not have funding for the activities.
According to the line plot, the statement that best describes the spread and distribution of the data is "The data is bimodal with an approximate range of 24. The most frequent number of activities was either 16 or 28, which might show that the entire class needed to choose an activity.". (option c).
The horizontal number line starts at 0 and increases by units of two up to 30. The dots above the numbers represent the number of schools that offer a certain number of activities. For instance, there is one dot above 4, 6, 14, and 28, which means that only one school offers four activities, one school offers six activities, one school offers 14 activities, and one school offers 28 activities.
Based on this line plot, we can conclude that the data is not symmetric because there is not an equal number of dots on either side of the plot. Therefore, we can rule out the first and fourth options.
We can observe that there are more dots on the left-hand side of the plot, indicating that there are more schools that offer fewer activities. Additionally, the most frequent number of activities is 16, which means that about half of the schools offer this number of activities.
Furthermore, we can estimate the range of the data to be approximately 24, as the number line goes up to 30, and the highest number of activities offered by any school is 28.
Hence the correct option is (c).
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Each truck from Jones Removal Company can haul 500 pound of trash at a time. On Wednesday, the company has jobs to remove 1,500 pounds of trash from one site, 500 from another site, and 2,500 from a third site. How many total pounds of trash will be moved by Jones Company that day? How many trips will it take for the Jones Company to remove all of the trash?
The total pounds of trash is 4500 pounds. Then the number of trips that will take for the Jones Company to remove all of the trash will be 9.
What is Algebra?Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.
Each truck from Jones Expulsion Organization can pull 500 pounds of waste at a time. On Wednesday, the organization has tasks to eliminate 1,500 pounds of garbage from one site, 500 from another site, and 2,500 from a third site.
The total pounds of trash is given as,
⇒ 1500 + 500 + 2500
⇒ 4500 pounds
The number of trips will it take for the Jones Company to remove all of the trash will be given as,
⇒ 4500 / 500
⇒ 9
The total pounds of trash is 4500 pounds. Then the number of trips that will take for the Jones Company to remove all of the trash will be 9.
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There are a total of 33 patients discharged, 16 are male, what is the percentage of discharged that are male? There are 15 females discharged of 33 discharged patients what is the percentage of females?
Answer:
48.48%
Step-by-step explanation:
divide and make a percentage
I have a trigonometric question I will upload a photo
The secant can be calculated as the inverse of the cosine, so we have:
\(\sec (-\frac{7\pi}{3})=\frac{1}{\cos (-\frac{7\pi}{3})}=\frac{1}{0.5}=2\)The cosecant can be calculated as the inverse of the sine, so we have:
\(\csc (-\frac{7\pi}{3})=\frac{1}{\sin(-\frac{7\pi}{3})}=\frac{1}{\frac{\sqrt[]{3}}{2}}=\frac{2}{\sqrt[]{3}}=\frac{2\sqrt[]{3}}{3}=1.1547\)The tangent can be calculated as the sine over the cosine, so we have:
\(\tan (-\frac{7\pi}{3})=\frac{\sin(-\frac{7\pi}{3})}{\cos(-\frac{7\pi}{3})}=\frac{\frac{\sqrt[]{3}}{2}}{0.5}=\sqrt[]{3}=1.732\)The cotangent can be calculated as the inverse of the tangent, so we have:
\(\cot (-\frac{7\pi}{3})=\frac{1}{\tan(-\frac{7\pi}{3})}=\frac{1}{\sqrt[]{3}}=\frac{\sqrt[]{3}}{3}=0.57735\)A one-way trolley ticket to Old Town costs 3.50. How much will it cost for Ahyeon and three friends to ride to Old Town and home again?
Answer:
$28
Step-by-step explanation:
Each round trip will be double the price of a one-way trip, so will be ...
2 × $3.50 = $7.00
Diego and his 3 friends will require a total of 4 round-trip tickets for a cost of ...
4 × $7.00 = $28.00
Ringani worked overtime to raise a total amount R30 000.00 to settle his student debt. If he has deposited R8 500.00 yearly into an account earning 7,04% interest per year compounded annually. How long, rounded to one decimal place did it took her to accumulate the total amount? A. 3.0 years B. 2.4 years C. 2.8 years D. 2.0 years
It took Ringani 2.8 years to accumulate the total amount of R30,000.00 by depositing R8,500.00 yearly into the account with a 7.04% interest rate Compounded annually.The correct answer choice is C. 2.8 years.
To determine how long it took Ringani to accumulate the total amount of R30,000.00 by depositing R8,500.00 yearly into an account with a 7.04% interest rate compounded annually, we can use the formula for compound interest:
A = P(1 + r/n)^(nt)
Where:
A is the final amount
P is the principal amount (initial deposit)
r is the interest rate (in decimal form)
n is the number of times the interest is compounded per year
t is the time in years
In this case, we have:
P = R8,500.00
A = R30,000.00
r = 7.04% = 0.0704 (in decimal form)
n = 1 (compounded annually)
We want to find the value of t.
Using the formula, we can rearrange it to solve for t:
t = (log(A/P)) / (n * log(1 + r/n))
Substituting the given values, we have:
t = (log(30,000/8,500)) / (1 * log(1 + 0.0704/1))
Calculating this using a calculator, we find that t is approximately 2.8 years.
Therefore, it took Ringani approximately 2.8 years (rounded to one decimal place) to accumulate the total amount of R30,000.00 by depositing R8,500.00 yearly into the account with a 7.04% interest rate compounded annually.
The correct answer choice is C. 2.8 years.
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Find the value of the expression (4x – 12) + (xy – 5) when x=6 and y = 2
Answer:
19
Step-by-step explanation:
Let us solve the parenthesis first according to PEDMAS (Parenthesis, Exponent, which ever comes first from left to right Multiplication and Division, which every comes first from left to right Addition and Subtraction.)
x=6, y=2
4x-12
Substitute using the given values
4*6 - 12 = 24 - 12 = 12
xy - 5
Substitute using the given values
6*2 - 5 = 12 - 5 = 7
Add up the two answers because we need to find the value of (4x - 12) + (xy - 5)
12 + 7 = 19
The answer is 19
Hope this helps :)
Have a nice day!
Draw a simple graph based on the given information. V = {1,2,3,4,5,6) E = {(1,6), (2,6), (3,6), (3,4), (3,5), (4,5), (5,6)}
182865658888835438469
Solve for x. I attached the question. Pls help me :(
Answer:
x = 16°
Step-by-step explanation:
What we know:
∠JML = 47°
∠JKL = (7x + 21)°
∠JML is an inscribed angle
∠JKL is an inscribed angle
Inscribed angles are half of the value of their intercepted arc
So if m∠JML = 47° then mArc JL is double that or 94°
And ∠JKL is intercepted by Arc JML which is the rest of the circle not intercepted by ∠JML so
mArc JL + Arc JML = 360°
94 + Arc JML = 360
Subtract 94 from both sides to isolate Arc JML
Arc JML = 266°
So if Arc JML = 266° then it's intercepted inscribed angle is half of that.
Arc JML ÷ 2 = ∠JKL
266 ÷ 2 = ∠JKL
133 °= ∠JKL
Now we can use this value and set it equal to the expression to find the value of x
(7x + 21) = 133
Subtract 21 from both sides to isolate the x
7x = 112
Divide both sides by 7
x = 16
Use an associative law to find an expression equivalent to
s + (r + 75)
As you can see below, both expressions result in the same value of 105. This demonstrates the application of the associative law in regrouping terms and maintaining the equivalence of the expression.
The associative law in mathematics states that the grouping of numbers in an addition or multiplication operation does not affect the result. In other words, you can regroup terms within parentheses without changing the value of the expression.
Using the associative law, we can regroup the terms in the expression s + (r + 75) by removing the parentheses and rearranging the terms:
s + (r + 75) = (s + r) + 75
The expression (s + r) + 75 is equivalent to s + (r + 75) because the addition operation is associative.
Let's take an example to illustrate this:
Suppose s = 10 and r = 20.
Using the original expression:
s + (r + 75) = 10 + (20 + 75) = 10 + 95 = 105
Using the expression with regrouped terms:
(s + r) + 75 = (10 + 20) + 75 = 30 + 75 = 105
As you can see, both expressions result in the same value of 105. This demonstrates the application of the associative law in regrouping terms and maintaining the equivalence of the expression.
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For each of the following equations, determine whether its graph is parallel, perpendicular or neither to the given line:
The parallel lines are
a) y = ( 4/7 )x + 6/7
b) 7y = 4x - 18
The perpendicular lines are
a) y = - ( 7/4 )x - 7/4
b) y = - ( 7/4 )x + 2
Given data ,
Let the equation of line be represented as A
Now , the value of A is
y = ( 4/7 )x - 3
where the slope of the line is m = 4/7 and y-intercept is b = -3
The parallel lines have the same slope and the perpendicular lines have the negative reciprocal slope
So , the equation of lines are
The parallel lines are
a) y = ( 4/7 )x + 6/7
b) 7y = 4x - 18
And , the perpendicular lines are
a) y = - ( 7/4 )x - 7/4
b) y = - ( 7/4 )x + 2
The lines which are neither parallel not perpendicular are y = 2/3x - 3 and y = -4/7x + 7
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An 18% tip was left on a $105 restaurant bill. How much are money should be
left for the bill?
Answer:
to calculate a 18 percent tip on a $105 bill.
What should I tip on 105 dollars? How much is the tip for $105?
Tip $18.90
Total $123.90
Step-by-step explanation:
Put the percentage in decimal form (0.18) then multiply the cost by this number. 26.50 * 0.18 = 4.77. So your tip is $4.77.
If you buy 10 pounds of lettuce for $70, what is the rate which one pound of lettuce costs?
Answer:
$7/lb
Step-by-step explanation:
$70 / 10 lb = $7/lb
Answer:
$7 per pound of letuce
Step-by-step explanation:
We know
10 pounds = $70
1 pounds = ?
We cross multiply and get:
$7 per pound of letuce
So, the answer is $7 per pound of letuce
please help i’ll give brainlist
Answer:
from top to bottom = c, d, a, b
Step-by-step explanation:
a function f from a to b is a relation from a to b that satisfies two properties: for every xelement of a, there is a y element of b such that element of f for all elements x element of a and both y and z such that y element of b and z element of b: if (x,y) and (x,z) are in f, then
A relation from A to B is a function if it satisfies two properties:
For every x ∈ A, there is a y ∈ B, such that (x,y) ∈ FFor all elements x ∈ A and both y and z such that y ∈ B and z ∈ B, if (x,y) and (x,z) are both in F, then y = z.Suppose we have two sets A and B and we have a relation that maps elements of A to elements of B. A relation from A to B is defined as a function if every elements of A is related to exactly one element of B.
Let (x,y) is a pair of input and output. If (x,y) is related by a function f, we can denote (x,y) ∈ F
We can write the first condition as:
For every x ∈ A, there is a y ∈ B, such that (x,y) ∈ FSince x is mapped to the exactly one output, then if both y and z are elements of B and (x,y) and (a,z) are in F, then y must be equal to z. Hence, the second condition is:
2. For all elements x ∈ A and both y and z such that y ∈ B and z ∈ B, if (x,y) and (x,z) are both in F, then y = z.
There are typos in your question. Most likely your question was like on the attached picture:
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