Answer:
i think -4/-5 = rise/run
A researcher surveys middle-school students on their study habits. She finds that in a random sample of 28 middle-school students, the mean amount of time that they spend working on the computer each night is 2.4 hours with a standard deviation of 0.92 hours. She uses the sample statistics to compute a 95% confidence interval for the population mean - the the mean amount of time that all middle-school students spend working on the computer each night. What is the margin of error for this confidence interval
Answer:
The margin of error is \(E = 1.96 * \frac{ 0.92}{\sqrt{28 } }\)
Step-by-step explanation:
From the question we are told that
The sample size is \(n = 28\)
The sample mean is \(\= x = 2.4 \ hr\)
The standard deviation is \(\sigma = 0.92 \ hr\)
Given that the confidence level is 95% the the level of significance can be evaluated as
\(\alpha = 100 -95\)
\(\alpha = 5 \%\)
\(\alpha = 0.05\)
Next we obtain the critical value of \(\frac{\alpha }{2}\) from the normal distribution table,the value is \(Z_{\frac{\alpha }{2} } = Z_{\frac{0.05}{2} } = 1.96\)
Generally the margin of error is mathematically represented as
\(E = Z_{\frac{\alpha }{2} } * \frac{\sigma }{\sqrt{n} }\)
substituting values
\(E = 1.96 * \frac{ 0.92}{\sqrt{28 } }\)
\(E = 0.3408\)
What is the length of AB? Help ASAP
Answer:
6/8
Step-by-step explanation:
simplify and find the slope
Suppose the drug atenolol is taken in 25 mg doses once a day to lower blood pressure. At the end of a 24 hour period, approximately 7 % of the atenolol is still present. (a) Find expressions for the quantities Q1, Q2, Q3, . . ., and Qn, representing the amounts of atenolol in the body right after taking the 1st, 2nd, 3rd doses respectively. Then write the expression for Qn in closed-form. Q1 = Q2 = Q3 = Qn = (b) Find expressions for the quantities P2, P3, P4, . . ., and Pn representing the amount of atenolol in the body right before taking the 2nd, 3rd, 4th doses respectively. Then write the expression for Pn in closed-form. P2 = P3 = P4 = Pn =
The values of the quantities Q1, Q2, Q3,... and Qₙ are
25, 25+25(0.07), 25+25(0.07)+25(0.07)² and Qₙ = 25(1-(0.07)ⁿ/(1-0.07)
Given:
Suppose the drug atenolol is taken in 25 mg doses once a day to lower blood pressure.
At the end of a 24 hour period, approximately 7 % of the atenolol is still present.
we are asked to find the expressions for the quantities Q1, Q2, Q3, . . ., and Qn, representing the amounts of atenolol in the body right after taking the 1st, 2nd, 3rd doses respectively.
hence:
Q1 = 25
Q2 = 25+25(0.07)
Q3 = 25+25(0.07)+25(0.07)²
Qₙ = 25(1-(0.07)ⁿ)/(1-0.07)
(b) we are asked to find expressions for the quantities P2, P3, P4, . . ., and Pn representing the amount of atenolol in the body right before taking the 2nd, 3rd, 4th doses respectively.
P2 = 25(0.07)
P3 = 25(0.07)+25(0.07)²
P4 = 25(0.07) + 25(0.07)² + 25(0.07)³
Pₙ = 25(0.07) × [1-(0.07)ⁿ]/[1-0.07]
Hence we get the required expressions.
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In ΔEFG, e = 4.7 inches, f = 4.8 inches and g=3.6 inches. Find the measure of ∠E to the nearest 10th of a degree.
Answer:
66.3
Step-by-step explanation:
i just did it on deltamath
An election poll of 1,000 people indicates that 48 percent of voters favor Candidate Smith and 50 percent of voters favor Candidate Jones, with a 3 percent margin of error. What can one conclude from this poll
The election poll indicates a close race between Candidate Smith and Candidate Jones, with a margin of error of 3 percent.
Given that,
Election poll of 1,000 people conducted
48 percent of voters favor Candidate Smith
50 percent of voters favor Candidate Jones
Margin of error is 3 percent
Based on the election poll,
We can conclude that there is a close race between Candidate Smith and Candidate Jones.
With Candidate Smith at 48 percent and Candidate Jones at 50 percent, it suggests a tight competition.
However, it's important to consider the margin of error of 3 percent.
This means that the actual support for each candidate could vary within this range.
Therefore, while this poll provides valuable insights, it is not definitive and other factors should also be considered.
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Suppose X, Y and Z are uncorrelated random variables with means 1, 2 and 3 and standard deviations 2, 4 and 5 respectively. If U = Y – X and V = Z – Y. Compute the correlation coefficient between U and V and comment on your result.
The correlation coefficient between U and V is -0.5587 and it illustrates to at there's a negative relationship between U and V.
How to illustrate the information?The data shows that:
E(x) = 1
E(y) = 2
E(z) = 3
Var(X) = 2² = 4
Var(Y) = 4² = 16
Var(Z) = 5² = 25.
Cov(U, V) = 16
Var(U) = Var(Z - Y)
= 25 - 0 + 16
= 41
The correlation coefficient will be:
= -16/✓(20 × 41)
= -0.5587
The correlation coefficient between U and V is -0.5587 and it illustrates to at there's a negative relationship between U and V.
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Can somebody please help me
Answer: C
Step-by-step explanation:
This is just a straight definition - for a normal distribution, the percent within 2 standard deviations of the mean is about 95.44%.
the speed of cars on the highway have a mean go 67mph and a standard deviation of 5 miles. What percentage of cars will drive greater than 75 miles?
The percentage of cars to drive greater than 75 miles will be 89.1%
What is mean by Percentage?A number or ratio that can be expressed as a fraction of 100 or a relative value indicating hundredth part of any quantity is called percentage.
Given that;
The speed of cars on the highway have a mean go 67mph and a standard deviation of 5 miles.
Now,
Since, We know that;
The z-score of a measure X of a normally distributed variable with mean μ and standard deviation σ is given by;
⇒ z - score = (X - μ) / σ
Substitute all the values, we get;
⇒ z - score = (75 - 67) / 5
⇒ z - score = 8/5
⇒ z - score = 1.6
It has p - value = 0.109
So, We get;
The percentage of cars to drive greater than 75 miles = 1 - 0.109
= 0.891
= 89.1%
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Eliana loves music, especially 80's punk rock. Eliana looked at the number of songs in her itunes account and she has 6 less than 4 times her best friend. Eliana's classmate David has 3 more than double her best friend. When talking to her Social Studies teacher, Eliana found out social study teacher has 7 more than two times the number of songs in his library than Eliana. Define a variable, then write and solve an equation. If the total number of songs is 382, how many songs does Eliana, her best friend, David and her social study teacher have?
Answer
Step by step explantion:
bsf= 26
Eliana:98
SS teacher=203
David=55
Step-by-step explanation:
m= music
bsf: m
eliana:4m-6
David:2m+3
SS teacher: 2(4m-6)+7
m+4m-6+2m+3+8m-12+7
382=15m-7
7+ +7
389=15m
/15m /15m
m=26
multiply 26 to each one of them
Give the quotient and remainder.
355÷8
Answer:
355 ÷ 8 = 44 with remainder 3
Step-by-step explanation:
44
-------------------------
8 | 355
- 32
--------
35
- 32
------
3
Sally deposits $10,000 into an account that pays 4.7% interest compounded yearly. What is the balance after 5 years?
Answer:
$12,581.53
Step-by-step explanation:
The balance of an account after having interest compounded annually can be represented using the equation:
\(A = P(1 + r)^{t}\)
where \(A\) is the final balance, \(P\) is the principal (starting amount), \(r\) is the rate of interest, and \(t\) is the number of years that interest is applied.
We can plug the given values into this equation and solve for \(A\).
\(P = \$10,000\) \(r = 4.7\%\) \(t = 5\)
\(A = 10,000(1 + 4.7\%)^{5}\)
\(A \approx \$12,581.53\)
So, Sally's balance in an account that had $10,000 before being compounded for 5 years at an interest rate of 4.7% is $12,581.53.
please help as soon as possible:)
Answer:
First table (far left)
Step-by-step explanation:
The far-left table is the only function with a constant rate. All other tables do not contain this.
Someone can please help me?
Answer:
graph C 2, 1) 1×200?
Step-by-step explanation:
é assim que você não faz nada
Answer:
B
Step-by-step explanation:
-> is read as greater than and the line underneath means equal to, so y is greater than or equal to the equation
-With this, we can determine that the area must be on the right (Positive) side of the line.
- Usually, when the line/circles later on are in bold or complete, it means that those numbers are included as well. Graph b has a full line, which means the numbers are included
-You want the numbers included because it needs to be equal to as well as bigger than.
Find the value of x. Round to the nearest tenth.
The value of x is 18.8m
Given:
θ = 48°
Y = 17m
The law of tangent which is also called as tangent formula or tangent rule is the ratio of the sine of the angle to the cos of the angle.
tan θ = Opposite / Adjacent.
Here,
Sum of triangle = 180°
90° + 48° + x° = 180°
x° = 42°
tan θ = opposite/ adjacent.
Substituting the values
tan 42° = 17/x (∴tan 42° = 0.9004)
0.9004 = 17/x
So we get,
x = 17/0.9004
x = 18,8m
Therefore, the value of x is 18.8m.
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Convert from point slope form to slope intercept form.
Slope U/D, (5,0)
Please help me!!!!!!!
Answer:
x = 5
Step-by-step explanation:
assuming you mean the slope of the line id undefined and passes through (5, 0 )
A line with an undefined slope is a vertical line parallel to the y- axis with equation
x = c ( c is the value of the x- coordinates the line passes through )
the line passes through (5, 0 ) with x- coordinate 5 , then
x = 5 ← equation of line
what is 10/5 + 5????????
Answer:
7
Step-by-step explanation:
Answer:
mira ami me aparece cien
Step-by-step explanation:
pues creo que no es
what is the decimal value that represents
the total percent markdown for the following scenario, after being rounded to the nearest percent:50%, 31%,and 9%
The decimal value that express the total percent markdown for the given scenerio are 0.5,0.31,0.09.
Given the total percent markdown for the following scenario, after being rounded to the nearest percent:50%, 31%,and 9%
Percentage is a ratio of the numbers expressed as a fraction of 100.
We have to just convert the percentages into decimal number which will be done as under:
To convert percentages into decimals we need to divide the number by 100. In this way the percentages will become:
50%=50/100
=0.5
31%=31/100
=0.31
9%=9/100
=0.09
Hence the decimal value of 50% ,31 % and 9% in percentages are 0.5,0.31,0.09.
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Answer:0.69
Step-by-step explanation:
James had 42 dollars. He bought his sister a gift that cost x dollars. Write an expression representing how much money James has now.
Answer:
42 dollars -x......................
Help me please help me out please please
Answer:
The answer is it is true.hope the day is saved
What are the coordinates of B’ if the figure is reflected across the x-axis?
What is the mapping rule for finding the coordinates of a figure reflecting across
A) the x-axis (x,y) ->
B) the y-axis (x,y) ->
Answer:
Step-by-step explanation:
B( 3, -3) given the figure
B' ( 3, 3) because the x-axis intersects the mid point between B and B'
A) (x, y) reflected across x-axis becomes ( x, -y)
B) (x, y) reflected across y-axis becomes ( -x, y)
Are the ratios 3:4 and 4:3 equivalent??
Answer:
Those ratios are not equivalent
Step-by-step explanation:
3:4 is not the same as 4:3 because 3:4 means 3 out of 4 but 4:3 means 4 out of 3 which means it is more than one while 3:4 is less than one
fill in the blanks for the geometric sequence
__, 5^4, __, __, 5^10
Answer:
5^2,5^4,5^6,5^8,5^10
Step-by-step explanation:
You are given 2nd term is 5^4 and 5th term is 5^10.
Since this is a geometric sequence, the sequence is of the form:
a,ar,ar^2,ar^3,ar^4,....
So setting up a proportion we can find the common ratio r:
(ar^4)/(ar)=(5^10)/(5^4)
Simplifying both sides:
r^3=5^6
r=5^(6/3)
r=5^2
If ar=5^4 and r=5^2 then a=5^2. Why? Because 5^2×5^2=5^4.
So
a=5^2
ar=5^2(5^2)=5^4
ar^2=5^2(5^2)^2=5^2(5^4)=5^6
ar^3=5^2(5^2)^3=5^2(5^6)=5^8
ar^4=5^2(5^2)^4=5^2(5^8)=5^10
So fill in time into:
a,ar,ar^2,ar^3,ar^4,....
5^2,5^4,5^6,5^8,5^10,....
PLEASE HELP giving brainliest
Answer:
choose C
Step-by-step explanation:
tctc6pxpycoyxot ỹoyx5s4
Use a graphing calculator to sketch the graph of the quadratic equation, and then give the coordinates for the x-intercepts (if they exist).
y = negative x squared + 15 x minus 56
a.
(-7, 0); (-8, 0)
c.
(-7, 0); ( 8, 0)
b.
( 7, 0); (-8, 0)
d.
( 7, 0); ( 8, 0)
Please select the best answer from the choices provided
When y = -x² + 15x - 56 then coordinates are is (c) (-7, 0); (8, 0).
What are the quadratic functions?Quadratic functions are a type of polynomial function of degree 2, which can be expressed in form f(x) = ax² + bx + c, where a, b, and c are constants, and x is the variable.
The graph of the given quadratic equation y = -x² + 15x - 56 can be plotted using a graphing calculator or any graphing tool. The x-intercepts are the points on the x-axis where the graph intersects the x-axis, i.e., the points where y = 0. By plotting the graph, we can determine the x-intercepts to be (-7, 0) and (8, 0), which correspond to option (c) (-7, 0); (8, 0).
Option (a) and (b) have incorrect x-coordinates for the x-intercepts, and option (d) has both positive x-coordinates for the x-intercepts, which is not correct based on the graph of the given quadratic equation.
Hence, option (c) is the correct answer.
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Help please quickly calculus
Her next step in obtaining the area of the triangle is replacing the numeric values of h and y into the area formula.
How to obtain the area of a triangle?The area of a rectangle of base b and height h is given by half the multiplication of dimensions, as follows:
A = 0.5bh.
The dimensions for this problem are given as follows:
Base of b = y.Height of h.Hence the formula is:
A = 0.5yh.
Hence the actual values of y and h must be inserted into the formula to obtain the area of the triangle.
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A ketchup company regularly receives large shipments of tomatoes. For quality control purposes, they take a sample of tomatoes from each shipment. If the sample shows convincing evidence that more than 8\%8%8, percent of the tomatoes in the entire shipment are bruised, then the company will request a new shipment of tomatoes. So the company tests H0 : p = 0.08 versus Ha : p > 0.08H, where p is the proportion of tomatoes in the entire shipment that are bruised.
One day, a supervisor takes a random sample of 600 tomatoes from a shipment and finds that 53 of the tomatoes are bruised, which results in a test statistic of z ≈ 0.75. Assuming that the necessary conditions are met, what is the approximate P-value associated with the significance test for this shipment?
Answer:
The value is \(p-value = 0.22663\)
Step-by-step explanation:
From the question we are told that
The proportion of bruised tomatoes p = 0.08
The null hypothesis is \(H_o : p = 0.08\)
The alternative hypothesis is \(H_a : p > 0.08\)
The sample size is n = 600
The number of bruised tomatoes from the sample selected is k = 53
The test statistics is z =0.75
Generally the p-value is mathematically represented as
\(p-value = P(Z > z)\)
=> \(p-value = P(Z > 0.75)\)
From the z-table
\(P(Z > 0.75) = 0.22663\)
So
\(p-value = 0.22663\)
Answer:
P-value ≈ 0.2266
Step-by-step explanation:
Si un número divisible entre 3 también es divisible entre 6
Answer:
es verdad pero 3 nomas puede ser dividido por 3 o 1
Step-by-step explanation:
HELP PLS, The cosine of
Answer:
add/hyp
Step-by-step explanation:
using SOHCAHTOA cosine of an angle A will be adjacent/ hypotenus
Brian and Colin win some money and share it in the ratio 5:1. Brian gets £60 more than Colin. How much did they get altogether?
Brian gets 5x and Colin gets x amount.
Brian gets 60 more than Colin, so you get:
5x - x = 60
Simplify to get:
4x = 60
Divide both sides by 4:
x = 15
Brian gets 5x = 5(15) = 75
Colin gets x = 15
75 + 15 = 90
The total amount they get is £90
what is 52.03 squared?
Answer:
It is 2707.1209
Step-by-step explanation: