To test the claim that the proportion of COS students who own an iPhone is the same as the proportion of Fresno State students who own an iPhone, we can perform a two-sample z-test for proportions. The null hypothesis, denoted as H₀, assumes that the proportions are equal, while the alternative hypothesis, denoted as H₁, assumes that the proportions are not equal.
Given the test statistic of -1.36 and a p-value of 0.1731, we compare the p-value to the significance level of 0.05. Since the p-value (0.1731) is greater than the significance level (0.05), we fail to reject the null hypothesis.
Therefore, based on the given results, we do not have sufficient evidence to support the claim that the proportion of COS students who own an iPhone is different from the proportion of Fresno State students who own an iPhone.
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can you substitute y=2x+4 y=2
Answer: x = -1
Step-by-step explanation:
Since, you know y = 2, substitute that y-value into the other function:
\(2=2x+4\\\\2x=2-4=-2\\\\x=\frac{-2}{2} =-1\)
Chong is grouping 705 nickels into rolls of 20 nickels. How many rolls will she have? How many extra nickels will there be?
This is not for me. I am asking it for my sister and I am to lazy to do the math myself lol!!!!
Answer:
Just divide:
705/20 = 35.25
There will be 35 roles.
Now to find how many left over, just multiply 35 times 20:
35 * 20 = 700
705 - 700 = 5
5 nickles left over!
Step-by-step explanation:
Hope it helps! =D
Answer:
35 Rolls, 5 nickels extra
Step-by-step explanation:
Think of it like so:
You have $705 in your bank account
Now many $20 Bills will you get from the ATM/Bank if you withdraw it all? The answer is: You will have 35 $20 bills.
What do you have left over? Take 20x35, than subtract that from 705
(705 - (20x35) = 5 nickels left over
When you flip a biaed coin the probability of getting a tail i 0. 52. Find the probability of getting a head
The probability of getting a head given that probability of getting a tail is 0. 52 is 0.48.
Probability of getting at least one head is equal to the probability of all events (100 percent, or 1) less the likelihood of receiving all tails .
Therefore the probability of getting a head is ( 1 - 0.52)
= 0.48
A random event's occurrence is the subject of this area of mathematics. The range of the probability is 0 to 1.
The degree to which something is likely to happen is basically what probability means. You will understand the potential outcomes for a random experiment using this fundamental theory of probability, which is also applied to the probability distribution. Knowing the total number of outcomes is necessary before we can calculate the likelihood that a specific event will occur.
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(URGENT PLEASE HELP)
The vertex of this parabola is at (5, 5). When the x-value is 6, the
y-value is -1. What is the coefficient of the squared expression in the parabola's equation?
a) 4
b) -6
c) 6
d) -4
Answer:
-6
Step-by-step explanation:
A parabola is vertex form is written as
y = a(x-h)^2 +k where (h,k) is the vertex
Substituting in the vertex
y = a(x-5)^2 +5
We know a point on the parabola so we can find a
-1 = a( 6-5)^2 +5
-1 =a(1)^2+5
-1 = a +5
Subtract 5 from each side
-1-5 = a
-6 =a
A carpenter leans an extension ladder against a house to reach the bottom of a window 30 feet
above the ground. As shown in the diagram below, the ladder makes a 70° angle with the ground.
To the nearest foot, determine and state the length of the ladder.
Answer:The answer will be 35ft
Step-by-step explanation:
One way that you can answer this is by using sin law. You will put the length of a side on top and the corresponding angle that faces towards that side at the bottom of a fraction. So for this one it will be 30/sin(70) = x/sin(90) The 90 comes from the bottom of the building with the ground. And the side the angle faces is the ladder. After that you put 30sin(90)/sin(70) to find x. And you get 34.655 which rounds to 35 ft.
Determine how far the vehicle travels in three hours helicopter travels 240 miles every two hours if you vehicle travels __ miles
Answer:
360 miles
Step-by-step explanation:
At a constant speed, distance (d) is proportional to time.
miles/hours = 240 mi/(2 h) = d/(3 h)
Multiplying by (3 h) gives ...
d = (240 mi)(3/2) = 360 mi
The helicopter travels 360 miles in 3 hours.
Which of the following sequences are geometric?
Check all that apply.
A. 3, 1, 1/3, 1/9, 1/27
B. 2, 8, 18, 46, 120
C. 10, 20, 30, 40, 50
D. 1,6, 36, 216, 1,296
Answer:
the answer is A
Step-by-step explanation:
divide each of the second numbers by the first
that is
\(1 \div 3 = \frac{1}{3 } \\ \frac{1}{3} \div 1 = \frac{1}{3}\)
and so on
All the answers you get will be equal to 0.33333 or 1/3
Determine whether the given variable is a solution to an inequality: m ≥ 4 m = 4 *
Solution
Not a solution
Using suitable identity, find the value of 87^3+ 13^3/
87^2 −87 ×13 + 13^2
The value of the given expression [\(87^3+ 13^3/87^2 -87 * 13 + 13^2\)] by simplifying the numerator and denominator using suitable identities is 100.
We will first calculate the numerator:
As (\(a^3\) + \(b^3\)) = (a + b)(\(a^2\) - ab + \(b^2\)) :
\(87^3\) + \(13^3\) = (87 + 13)(\(87^2\) - \(87 * 13\) + \(13^2\))
= 100(\(87^2\) - 87 * 13 + \(13^2\))
Now, calculate the denominator:
\(87^2 - 87 * 13 + 13^2\)
As,(\(a^2 -2ab +b^2\)) =\((a - b)^2\):
\(87^2 - 87 * 13 + 13^2 = (87 - 13)^2\)
\(= 74^2\)
So by solving the equation further:
\((87^3+13^3) / (87^2- 87 * 13+13^2) = 100*(87^2- 87 *13 + 13^2)/(87^2 - 87 * 13 + 13^2)\)
As we can see the numerator and denominator are the same expressions (\(87^2 - 87 * 13 + 13^2\)). so, they cancel each other:
\((87^3 + 13^3) / (87^2 - 87 * 13 + 13^2) = 100\)
So, the value of the given expression is 100.
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The base of a triangular garden is 5 yards longer than the height, and the area of the garden is 168 square yards. Find the dimensions of the triangle.The height of the triangle is yards.
The dimensions of the triangle are;
Base = 21 yards
Height of the triangle = 16 yards
How to determine the valueIt is important to note that the formula for determining the area of a triangle is expressed as;
Area = 1/2bh
Given that;
b is the base of the triangleh is the height of the triangleFrom the information given, we have that;
Base = 5 + h
Area = 168 square yards.
Now, substitute the values
168 = 1/ 2 (5 + h) h
expand the bracket
168 = 1/ 2 5h + h²
cross multply
5h + h² = 336
h² + 5h - 336 = 0
h² + 21h - 16h - 336 = 0
h( h + 21) - 16( h + 21) = 0
Then,
h = 16
h = -21
Base = 5 + h = 5 + 16 = 21 yards
Height = 16 yards
Hence, the values are 16 and 21 yards
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The record high temperature in Australia is 123°F. The record low temperature in Australia is – 9°F. How many degrees warmer is the record high temperature than the record low temperature?
Answer:
132
Step-by-step explanation:
123+9=132?
Answer:
132 degrees and can I get brainliest
Step-by-step explanation:
Absolute value of -9 is 9 so then 123 plus 9.
is 1/3 closer to 0 or 0.5
Answer:
its closer to 0.5
Step-by-step explanation:
if you change 1/3 to a decimal its going to be 0.333333
0.33333 is closer to 0.5
Answer:
0
Step-by-step explanation:
1/3 is 1 part of 3.
0.5 is half of 1.
1/3 is closer to 0.
Which situation can be represented by this equation ?
120 + 4X = 280 - 6X
A. Jesus earned 124 points each hour playing Minecraft. Maria earned 274
points each hour playing Minecraft. What is X, the number of hours that
Jesus and Maria would have to play in order to have an equal number of
points?
B. Jesus started a savings account with $120 and spends $4 from his
savings account every week. Maria started a savings account with $280
and adds $6 to her savings account every week. What is X, the number
of weeks that need to pass in order for Jesus and Maria to have the
same amount of savings?
C. Jesus started with 120 marbles he gives 6 marbles away to his friends
daily. Maria started with 280 marbles and her friends give her 4 new
marbles each day. What is X, the number of days it will take Jesus and
Maria to have the same number of marbles?
D. Jesus has a bag of money that originally contained $120 and is being
filled at a rate of $4 per minute, Maria has a bag that originally
contained $280 and is being spent at rate of $6 per minute. What is X,
the number of minutes that both bags will contain the same amount of
money?
Answer:
d
Step-by-step explanation:
PZ ITS URGENTTT
Q2: Find the gradients of each of the following lines.
L1 (b) L2 (c) L3 (d) L4
Answer:
a)It is a vertical line with an undefined slope
b)It is a vertical line with an undefined slope
c)7/4
d)-7/4
Step-by-step explanation:
The formula for gradient of a line is given as;
m=Δy/Δx
where Δy = y₂-y₁ and Δx=x₂-x₁
For L₁
x=2
It is a vertical line with an undefined slope
For L₂
x=-3
It is a vertical line with an undefined slope
For L₃
The points on the line are : (0,-3) and (4,4)
m= Δy/Δx
m= 4--3/4-0
m=7/4
For L₄
The points on the line are : (0,-3) and (-4,4)
m=Δy/Δx
m=4--3/-4-0
m=7/-4
m= - 7/4
which anwser is equivalent to √16/√49
Answer:
D.
Step-by-step explanation:
\(\frac{\sqrt{a} }{\sqrt{b} } =\sqrt{\frac{a}{b} }\)
There is a rule like this, so answer is D.
PLEASE HELP ME IM STUCKK!!
R=((i,i),(i,n),(g,g),(n,n),(n,i),(o,i),(o,o),(o,n)) is a relation on set b=(g,i,n,o) then relatio r is
The relation R on set b=(g,i,n,o) consists of the ordered pairs (i, i), (g, g), and (n, n). These are the pairs where both elements belong to set b.
The given relation R is represented as a set of ordered pairs.
To determine if the relation R is on set b=(g,i,n,o), we need to check if each ordered pair in R has both elements belonging to set b.
Going through each ordered pair in R:
(i, i): Both elements i and i belong to set b.
(i, n): The element n does not belong to set b, so this ordered pair is not in the relation R on set b.
(g, g): Both elements g and g belong to set b.
(n, n): Both elements n and n belong to set b.
(n, i): The element i does not belong to set b, so this ordered pair is not in the relation R on set b.
(o, i): The element i does not belong to set b, so this ordered pair is not in the relation R on set b.
(o, o): Both elements o and o belong to set b.
(o, n): The element n does not belong to set b, so this ordered pair is not in the relation R on set b.
From the analysis above, we can see that the relation R on set b=(g,i,n,o) consists of the ordered pairs (i, i), (g, g), and (n, n). These are the pairs where both elements belong to set b.
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PLEASE HELP I WILL GIVE BRAINLIEST FOR THE CORRECT ANSWER!!
Use mathematical induction to prove that 1 + 2 + 3 + … + n = (1/2) n (a1 + an).
Use the result to find the sum of 1 + 2 + 3 + ... + 500.
Answer:
See below for proof.
\(S_{500}=125250\)
Step-by-step explanation:
Given arithmetic series:
1 + 2 + 3 + … + nTherefore:
\(S_n=1+2+3+...+(n-2)+(n-1)+n\)
\(S_n=1+(1+1)+(1+2)+...+(1+n-3)+(1+n-2)+(1+n-1)\)
\(S_n=1+(1+1)+(1+2(1))+...+(1+(n-3)(1))+(1+(n-2)(1))+(1+(n-1)(1))\)
Let:
a = first term = 1d = common difference = 1n = nth termTherefore:
\(S_n=a+(a+d)+(a+2d)+...+(a+(n-3)d)+(a+(n-2)d)+(a+(n-1)d)\)
Reverse the order:
\(S_n=(a+(n-1)d)+(a+(n-2)d)+(a+(n-3)d)+...+(a+2d)+(a+d)+a\)
Add the two expressions for Sₙ:
\(2S_n=(2a+(n-1)d)+(2a+(n-1)d)+(2a+(n-1)d)+...+(2a+(n-1)d)\)
Therefore, the term (2a + (n – 1)d) has been repeated n times:
\(2S_n=n(2a+(n-1)d)\)
Divide both sides by 2:
\(S_n=\dfrac{1}{2}n(2a+(n-1)d)\)
\(S_n=\dfrac{1}{2}n(a+a+(n-1)d)\)
Replace a with a₁ (first term) and a + (n – 1)d with aₙ (last term):
\(S_n=\dfrac{1}{2}n(a_1+a_n)\)
To find the sum of the series 1 + 2 + 3 + ... + 500, substitute the following values into the formula:
a₁ = 1aₙ = 500n = 500Therefore:
\(\implies S_{500}=\dfrac{1}{2}(500)(1+500)\)
\(\implies S_{500}=250(501)\)
\(\implies S_{500}=125250\)
Mrs Baker is preparing her students for their exams. The exams are two weeks away. Mrs Baker advises her students to spend 25% of each day revising.
A) How many hours does Mrs Baker expect her students to revise each day?
B)) How many hours in total will the students have revised if they follow Mrs Bakers advise for the next two weeks?
Answer:
A. 4 hours
Step-by-step explanation:
100 divided by 25
Write 0.4444 as a fraction in lowest terms:
Answer:
1111/2500
Step-by-step explanation:
What equation represents a line which is perpendicular to the line y=5/3x-5
Answer:
y= -3/5x+5
Step-by-step explanation:
im not sure if this is right but i know that perpendicular means opposite so basically just swtich the slope and if its positive make it negative, vice versa
Solve the equation for the indicated variable.
1/R = 1/R1+1/R2 ; for R2
R2 = ?
The solution for R2 is:
R2 = (R1*R)/(R1+R)
We can begin by multiplying both sides of the equation by the product of R2 and R1 to eliminate the denominators:
1/R = 1/R1 + 1/R2
Multiplying both sides by R1*R2:
R1R2(1/R) = R1R2(1/R1) + R1R2(1/R2)
Simplifying:
R2 = (R1*R)/((R1+R))
Therefore, the solution for R2 is:
R2 = (R1*R)/(R1+R)
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help me with this math question
Answer:
points D and B. Answer choices D and E.
Step-by-step explanation:
The point, C, is at -1 1/4. Count over 2 points of either B or D, and you have your answer.
Use PEMDAS to solve the following. (17 - 6 divided 2) + 4 x 3
What is the anwser?
A. 54
B. 28.5
C. 21
D. 26
Answer:I used PEMDAS I Got D.26
Step-by-step explanation:
Help please will mark brainliest!!!!!!
\( \bf Speed = \dfrac{\dfrac{4}{5}}{\dfrac{1}{6}}\)
\( \bf Speed = \dfrac{4}{5} \times \dfrac{6}{1}\)
\( \Large \boxed{\bf Speed = \dfrac{24}{5}}\)
\( \pink{\bf So, \: the \: answer \: is \: \dfrac{24}{5} \: miles \: per \: hour}\)
ABC company has just purchased a life truck that has a useful life of 5 years. The engineer estimates that maintenance costs for the truck during the first year will be $2,000. As the truck ages, maintenance costs are expected to increase at a rate of $300 per year over the remaining life. Assume that the maintenance costs occur at the end of each year. The firm wants to set up a maintenance account that earns 10% interest per year. All future maintenance expenses will be paid out of this account. How much does the firm have to deposit in the account now? $9,640.11
$11,500.00
$9,920.21
$9,127.02
The amount the firm needs to deposit in the account now is 9,640.11. Given that the company has purchased a life truck with a useful life of 5 years, the maintenance costs for the truck during the first year are 2,000.
Also, maintenance costs are expected to increase at a rate of 300 per year over the remaining life, which is for four years. Assume that the maintenance costs occur at the end of each year.
The future maintenance costs for the truck can be calculated as shown below:
Year 1:\($2,000Year 2: $2,300Year 3: $2,600Year 4: $2,900Year 5: $3,200\)The maintenance account that earns 10% interest per year has to be set up, and all future maintenance expenses will be paid out of this account. The future value of the maintenance costs, i.e., the amount that the firm needs to deposit now to earn 10% interest and pay the maintenance costs over the next four years is given by:
\(PV = [C/(1 + i)] + [C/(1 + i)²] + [C/(1 + i)³] + [C/(1 + i)⁴] + [(C + FV)/(1 + i)⁵]\),where PV is the present value of the future maintenance costs, C is the annual maintenance cost, i is the interest rate per year, FV is the future value of the maintenance costs at the end of year 5, which is $3,200, and 5 is the total number of years, which is
5.Substituting the given values in the above equation:
\(PV = [2,000/(1 + 0.1)] + [2,300/(1 + 0.1)²] + [2,600/(1 + 0.1)³] + [2,900/(1 + 0.1)⁴] + [(3,200 + 3,200)/(1 + 0.1)⁵] = 9,640.11\)Therefore, the firm needs to deposit 9,640.11 in the account now. Hence, option (A) is the correct answer.
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CAN ANYBODY HELP? ASAP
Answer:
Step-by-step explanation:
just try
HELPPPP ILL MARK BRAINLIEST IF CORRECT
is an angle in a right-angled triangle.
tan 0
=
23
52
What is the value of 0?
Give your answer in degrees to 1 d.p.
Yes, an angle in a right-angled triangle is always present. Without any additional information about the triangle, it is impossible to determine the value of the angle in question.
In a right-angled triangle, one of the angles is a right angle, which measures 90 degrees. The other two angles in the triangle are acute angles and their measures always add up to 90 degrees.
To find the value of the angle in question, we need to know some additional information about the triangle. If we have the lengths of two sides of the triangle, we can use trigonometric ratios to find the measure of the angle.
For example, if we know the length of the side opposite the angle and the length of the hypotenuse (the longest side of the triangle), we can use the sine ratio to find the measure of the angle.
If we know the length of the side adjacent to the angle and the length of the hypotenuse, we can use the cosine ratio.
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Amanda needs to cut a board to use for a project. The board is 10 feet long. She first has to cut off 1 3/4 feet from one end of the
board. She then cuts the remaining section of board into 4 equal pieces.
Which equation can be used to determine the the length of each equal piece?
o 4x – 1 3/4 = 10
o 1 3/4x - 4=10
o 4x + 1 3/4 = 10
1 3/4x +4= 10
Answer : 4x + 1 3/4 = 10
Step - by - step explanation : The reason 4 has an " x " at the end of it is because we don't know its exact number
Answer:
4x + 1 3/4 = 10
Step-by-step explanation: