Complete Question
The worldwide market share for a web browser was 20.5% in a recent month. Suppose that a sample of 200 random students at a certain university finds that 50 use the browser.
At the 0.05 level of significance, is there evidence that the market share for the web browser at the university is greater than the worldwide market share of 20.5%?
Answer:
The decision rule is
Fail to reject the null hypothesis
The conclusion is
There is no sufficient evidence to show that the market share for the web browser at the university is greater than the worldwide market share of 20.5 %?
Step-by-step explanation:
From the question we are told that
The population proportion is [tex]p = 0.205[/tex]
The sample size is n = 200
The number that uses the browser is k = 50
The level of significance is [tex]\alpha = 0.05[/tex]
Generally the sample proportion is mathematically represented as
[tex]\^ p = \frac{50}{200}[/tex]
=> [tex]\^ p = 0.250[/tex]
The null hypothesis is [tex]H_o : p = 0.205[/tex]
The alternative hypothesis is [tex]H_a : p > 0.205[/tex]
Generally the test statistics is mathematically represented as
[tex]z = \frac{ \^ p - p }{ \sqrt{ \frac{ p (1 - p )}{ n} } }[/tex]
=> [tex]z = \frac{ 0.250 - 0.205 }{ \sqrt{ \frac{ 0.205 (1 - 0.205 )}{ 200} } }[/tex]
=> [tex]z = 1.5764[/tex]
Generally the area under [tex]z = 1.5764[/tex] to the right is
[tex]p-value = P( Z > 1.5764 ) = 0.057467[/tex]
From the value we obtained we can see that the [tex]p-value > \alpha[/tex] hence
The decision rule is
Fail to reject the null hypothesis
The conclusion is
There is no sufficient evidence to show that the market share for the web browser at the university is greater than the worldwide market share of 20.5 %?
Guys Please help me with this question urgent!!
There were 120 people at a meeting. The ratio of men to women was 7 to 3.
24 more people joined the meeting. The ratio of men to women was then 11 : 5. How many women were among those 24?
Answer:
9
Step-by-step explanation:
1.)Find the amount of women within the 120 people in the meeting. So 3/10*120 , you get 36.
2.)Add 24 to 120 to get the new amount of people in the room. So 144.
3.)Using the new ratio 11:5 , find the amount of total women out of 144 people . So 5/16*144 , you get 45.
4.)Now minus the 2 amounts of initial women from the amount of total new women , to get the difference to find out how many women are there in the 24 people. So 45-36 , you get 9
The sum of two consecutive numbers is 253. Which of the following equations
describes this situation?
A) 3n-1= 253
D) 2n+2= 253
B) 2n+1= 253
E) n+2= 253
C) 2n= 253
Answer:
EEEEEEEEEEEEEEEEEEEEEEEEEEE
Step-by-step explanation:
EEEEEEEEEEEEEEEEEEEEEEEEE
The situation is a linear equation, and the equation that describes the situation is 2n + 1 = 253
How to determine the equation of the situation?Let the smaller number be n.
So, the consecutive numbers are n and n + 1
When the numbers are added, we have:
Sum = n + n + 1
This gives
Sum = 2n + 1
The sum is 253.
So, we have:
2n + 1 = 253
Hence, the equation that describes the situation is 2n + 1 = 253
Read more about linear equations at:
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You spend 4/5 of an hour on your homework. You spend 1/2 of that time working on your science homework. How many minutes do you spend working on science homework?
Answer:
4/5 of an hour is 48 minutes so 48 minutes divided by 2 is 28 minutes
Step-by-step explanation:
Answer:
24 minutes.
Step-by-step explanation
4/5 = ?/60
4/5 = 48/60
half of 48 = 24
I'm Using my last points will give brainliest geometry - finding angles with justification (level 1) delta math Please do step by step and pick reasoning for each
here are reasonings to pick from:
verticle angles
Linear pair (or triples)
Congruent angles
sum of angles in a triangle
sum of angles in a quadrilateral
Base angles of an isosceles triangle
Angle bisector definition
corresponding angles
alternate interior angles
alternate exterior angles
same - side interior angles
angle addition postulate
angle subtraction postulate
perpendicular lines form right angles
Answer:
m<GFC = 69 degrees
Step-by-step explanation:
The angle with 37 degrees is congruent with the angle on the left of 74 because of the Alternate Interior Angles Postulate
The last angle in the triangle that you don't know the degrees of is on the right of angle 74 because of the Alternate Interior Angles Postulate
So 37+74+ (the degree we don't know of the triangle) = 180 because of linear triples
180 - (37+74) = 69
So the angle on the right of angle 74 = 69
So m<GFC = 69 degrees
Answer:
Its 69
Step-by-step explanation:
the three measures will add up to 180 so all you hace to do is add the angles given and subtract that from 180 to find x
A clinical psychologist has developed a new measure for assessing alcohol abuse. In a normal (non-clinical) sample, he found that his measure had a mean equal to 85 and a standard deviation equal to 15. Identify the score
Complete question :
A clinical psychologist has developed a new measure for assessing alcohol abuse. In a normal (non-clinical) sample, he found that his measure had a mean equal to 85 and a standard deviation equal to 15. Identify the score 25th, 75th, 95th
Answer:
1.) 25th percentile = 74.95
2.) 75th percentile = 95.05
3.) 95th percentile = 109.75
Step-by-step explanation:
Given that :
Mean (m) = 85
Standard deviation (s) = 15
The Zscore, corresponding to the percentiles given:
25th percentile score corresponds to a Zscore of - 0.67
Recall the relation:
Zscore = (x - m) / sd
x = score; m = mean = 85 ; sd = standard deviation = 15
-0.67 = (x - 85) / 15
15 * - 0.67 = x - 85
-10.05 = x - 85
x = 74.95
2.) 75th percentile ; Zscore = 0.67
0.67 = (x - 85) / 15
15 * 0.67 = x - 85
10.05 = x - 85
x = 10.05 + 85
x = 95.05
3.) 95th percentile ; Zscore = 1.65
1.65 = (x - 85) / 15
15 * 1.65 = x - 85
24.75 = x - 85
x = 24.75 + 85
x = 109.75
2. What is the first term of the arithmetic
sequence
41 346, 19
919?
Answer: The first term of the arithmetic sequence= 41,346.
Step-by-step explanation:
The first term in the Arithmetic sequence (generally denoted by 'a') is the beginning term of the sequence.
It helps to find the other terms([tex]a_n[/tex]) as it gives the initial point to start the sequence.
In the given sequence, the sequence starts from the number 41,346.
That means, the first term of the arithmetic sequence= 41,346.
What is the order of 1/2, -2/3, -3/8 from least to greatest
Answer -3/8, -2/3 1/2
Step-by-step explanation:
Thats least to greatest
Answer:
3/8, 2/3, 1/2
Step-by-step explanation:
Anyone help? Please I’ve tried -35 but the graph is just to ten
Answer:
f(x) is always 5.
Step-by-step explanation:
The formula has a fixed value. Y is the f(x) in the function, and since there is no X, then Y is as said: 5. For example, when X is -7, the f(x), or Y, is still 5, and so on.
What is the solution to the equation? √x - 3 + 1 = 6
A. 64
B. 46
C. 28
D. 22
The solution of the given equation √x - 3 + 1 = 6 will be x = 64 so option (A) will be correct.
What is the equation?An equation can be defined in numerous ways. Algebraically speaking, an equation is a statement that shows the equality of two mathematical expressions.
For example 8x + 7y = 15.
Given the equation,
√x - 3 + 1 = 6
√x + (-3 + 1) = 6
√x - 2 = 6
√x = 6 + 2 = 8
By squaring
x = 8² = 64.
Hence "The solution of the given equation √x - 3 + 1 = 6 will be x = 64".
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Answer:the correct answer is C.28
Step-by-step explanation:
The table shows the height of water in a pool as it is being filled.
A table showing Height of Water in a Pool with two columns and six rows. The first column, Time in minutes, has the entries, 2, 4, 6, 8, 10. The second column, Height in inches, has the entries, 8, 12, 16, 20, 24.
The slope of the line through the points is 2. Which statement describes how the slope relates to the height of the water in the pool?
The height of the water increases 2 inches per minute.
The height of the water decreases 2 inches per minute.
The height of the water was 2 inches before any water was added.
The height of the water will be 2 inches when the pool is filled..
Answer:
16
Step-by-step explanation:
If 15% of a number equals 4, find 60% of that number.
Answer:
16
Step-by-step explanation:
What is the slope intercept form of 9x+7y=14?
Answer:
y = -9/7x + 2 is the slope intercept form.
Step-by-step explanation:
What does "a' control in a graph of * f(x) = ax + bx+ c?
Answer:
the stretch or compression of a quadratic, and if it's opening up to down.
Step-by-step explanation:
Wade picked 4 pints of blackberries. His friend, Matt, picked 6 pints. How
many pints did they pick altogether?
Salary 8) Devin is a security officer. His annual salary is $18.250. What is his
monthly salary?
7. Nine students want to raise $183.6 to buy practice books. So far, they have raised
$86.4. If each student raises the same amount, how much more money must each
student raise?
Answer:
10.8
Step-by-step explanation:
86.4÷9=9.6
183.6 - 86.4=97.2
97.2 ÷ 9.6=10.8
10.8x9=97.2
97.2+86.4=183.6
Find 1.5% of 220 please help
Answer: 3.3
x. = 1.5
220 100
A 5.8-ft-tall person walks away from a 9-ft lamppost at a constant rate of 3.4 ft/sec. What is the rate that the tip of the person's shadow moves away from the lamppost when the person is 11 ft away from the lampost
Answer:
9.56 ft/sec
Step-by-step explanation:
We are told that a 5.8-ft-tall person walks away from a 9-ft lamppost at a constant rate of 3.4 ft/sec.
I've attached an image showing triangle that depicts this;
Thus; dx/dt = 3.4 ft/sec
From the attached image and using principle of similar triangles, we can say that;
9/y = 5.8/(y - x)
9(y - x) = 5.8y
9y - 9x = 5.8y
9y - 5.8y = 9x
3.2y = 9x
y = 9x/3.2
dy/dx = 9/3.2
Now, to find how fast the tip of the shadow is moving away from the lamp post, it is;
dy/dt = dy/dx × dx/dt
dy/dt = (9/3.2) × 3.4
dy/dt = 9.5625 ft/s ≈ 9.56 ft/sec
Select all units that can be used for surface area. Group of answer choices square meters feet centimeters cubic inches square inches square feet (which one are they?)
Answer:
Unit that can be used for surface area is cubic inches.
Step-by-step explanation:
Surface area is the sum of the areas of all faces of a three-dimensional shape.
That is in case of surface area, we talk about three dimensions.
So, unit that can be used for surface area is cubic inches.
square meters, square inches and square feet are used for two dimensional shapes.
feet, centimeters are used for one dimensional shapes.
Two bowlers bruce and donald want to find out who has the higher three-game series when compared to each of their leagues. Bruce has a score of 500, and his league has a mean score of 620 and a standard deviation of 20. Donald has a score of 520, and his league has a mean of 625 and a standard deviation of 25. Who has the higher three-game series score when compared to each of their leagues?
A. Bruce.
B. Donald.
C. The scores are equal when compared to each of their leagues.
Answer:
Donald
Step-by-step explanation:
Given that :
BRUCE :
score (x) = 500
League average (m) = 620
Standard deviation (σ) = 20
DONALD:
score (x) = 520
League average (m) = 625
Standard deviation (σ) = 25
Take standardized score of both Bruce and Donald
BRUCE:
Zscore = (x - m) / σ
Zscore = (500 - 620) / 20
Zscore = - 120 / 20
Zscore = - 6
DONALD:
Zscore = (x - m) / σ
Zscore = (520 - 625) / 25
Zscore = - 105 / 25
Zscore = - 4.2
Bruce's standardized score is lesser Than Donald's. Hence,
Donald has a higher three-game series score ;
Question 2
If B is the midpoint of line segment AC, and BA = 8x + 9 cm, while CA = 28x - 3 cm, determine the value of x.
Answer:
[tex]x=\frac{3}{5}[/tex]
Step-by-step explanation:
Midpoint of a line is a point that divides it into two equal segments.
As B is the midpoint of line segment AC,
[tex]AB=BC[/tex]
Put [tex]BA=8x+9\,,\,CA=28x-3[/tex]
To find value of [tex]x[/tex], solve [tex]8x+9=28x-3[/tex]
Therefore,
[tex]8x+9=28x-3\\9+3=28x-8x\\12=20x\\x=\frac{12}{20}\\ x=\frac{3}{5}[/tex]
So, value of [tex]x[/tex] is [tex]\frac{3}{5}[/tex]
What law is being modeled
Answer:
Step-by-step explanation:
In population genetics, the Hardy–Weinberg principle, also known as the Hardy–Weinberg equilibrium, model, theorem, or law, ... Males, A (p), AA (p2), Aa (pq) ... The sum of the entries is p2 + 2pq + q2 = 1, as the genotype frequencies must sum to ... Suppose that Aa is a pair of Mendelian characters, A being dominant, and
Solve for X using special rights
b) 30
Step-by-step explanation:Hi there !
the side opposite the angle of 30 is half the hypotenuse
x = 2×15
x = 30
Good luck !
Bond X is a premium bond making semiannual payments. The bond pays a coupon rate of 9 percent, has a YTM of 7 percent, and has 13 years to maturity. Bond Y is a discount bond making semiannual payments. This bond pays a coupon rate of 7 percent, has a YTM of 9 percent, and also has 13 years to maturity. The bonds have a $1,000 par value.
What is the price of each bond today? If interest rates remain unchanged, what do you expect the price of these bonds to be one year from now? In three years? In eight years? In 12 years? In 13 years?
Answer:
Bond Xcurrent market price:
PV of face value = $1,000 / (1 + 3.5%)²⁶ = $
PV of coupon payments = $45 x 16.89035 (PV annuity factor, 3.5%, 26 periods) = $760.07
current market price = $408.84 + $760.07 = $1,168.91
price in 1 year:
PV of face value = $1,000 / (1 + 3.5%)²⁴ = $437.96
PV of coupon payments = $45 x 16.05837 (PV annuity factor, 3.5%, 24 periods) = $722.63
market price = $437.96 + $722.63 = $1,160.59
price in 3 years:
PV of face value = $1,000 / (1 + 3.5%)²⁰ = $502.57
PV of coupon payments = $45 x 14.2124 (PV annuity factor, 3.5%, 20 periods) = $639.56
market price = $502.57+ $639.56 = $1,142.13
price in 8 years:
PV of face value = $1,000 / (1 + 3.5%)¹⁰ = $708.92
PV of coupon payments = $45 x 8.31661 (PV annuity factor, 3.5%, 10 periods) = $374.25
market price = $708.92 + $374.25 = $1,083.17
price in 12 years:
PV of face value = $1,000 / (1 + 3.5%)² = $933.51
PV of coupon payments = $45 x 1.89969 (PV annuity factor, 3.5%, 2 periods) = $85.49
market price = $933.51 + $85.49 = $1,019
price in 13 years:
market price = $1,000 + $45 = $1,045
Bond Ycurrent market price:
PV of face value = $1,000 / (1 + 4.5%)²⁶ = $318.40
PV of coupon payments = $35 x 15.14661 (PV annuity factor, 4.5%, 26 periods) = $530.13
current market price = $318.40 + $530.13 = $847.53
price in 1 year:
PV of face value = $1,000 / (1 + 4.5%)²⁴ = $347.70
PV of coupon payments = $35 x 14.49548 (PV annuity factor, 4.5%, 24 periods) = $507.34
market price = $347.70 + $507.34 = $855.04
price in 3 years:
PV of face value = $1,000 / (1 + 4.5%)²⁰ = $414.64
PV of coupon payments = $35 x 13.00794 (PV annuity factor, 4.5%, 20 periods) = $455.28
market price = $414.64+ $455.28 = $869.92
price in 8 years:
PV of face value = $1,000 / (1 + 4.5%)¹⁰ = $643.93
PV of coupon payments = $35 x 7.91272 (PV annuity factor, 4.5%, 10 periods) = $276.95
market price = $643.93 + $276.95 = $920.88
price in 12 years:
PV of face value = $1,000 / (1 + 4.5%)² = $915.73
PV of coupon payments = $35 x 1.87267 (PV annuity factor, 4.5%, 2 periods) = $65.54
market price = $915.73 + $65.54 = $981.27
price in 13 years:
market price = $1,000 + $35 = $1,035
Find the absolute maximum and minimum values of the function below. f(x) = x3 − 9x2 + 3, − 3 2 ≤ x ≤ 12 Solution Since f is continuous on − 3 2 , 12 , we can use the Closed Interval Method. f(x) = x3 − 9x2 + 3 f ′(x) = 3x2−18x . Since f ′(x) exists for all x, the only critical numbers of f occur when f ′(x) = , that is, x = 0 or x = . Notice that each of these critical numbers lies in − 3 2 , 12 . The values
Answer:
There are an absolute minimum (x = 6) and an absolute maximum (x = 12).
Step-by-step explanation:
The correct statement is described below:
Find the absolute maximum and minimum values of the function below:
[tex]f(x) = x^{3}-9\cdot x^{2}+ 3[/tex], [tex]2 \leq x \leq 12[/tex]
Given that function is a polynomial, then we have the guarantee that function is continuous and differentiable and we can use First and Second Derivative Tests.
First, we obtain the first derivative of the function and equalize it to zero:
[tex]f'(x) = 3\cdot x^{2}-18\cdot x[/tex]
[tex]3\cdot x^{2}-18\cdot x = 0[/tex]
[tex]3\cdot x \cdot (x-6) = 0[/tex] (Eq. 1)
As we can see, only a solution is a valid critical value. That is: [tex]x = 6[/tex]
Second, we determine the second derivative formula and evaluate it at the only critical point:
[tex]f''(x) = 6\cdot x -18[/tex] (Eq. 2)
x = 6
[tex]f''(6) = 6\cdot (6)-18[/tex]
[tex]f''(6) =18[/tex] (Absolute minimum)
Third, we evaluate the function at each extreme of the given interval and the critical point as well:
x = 2
[tex]f(2) = 2^{3}-9\cdot (2)^{2}+3[/tex]
[tex]f(2) = -25[/tex]
x = 6
[tex]f(6) = 6^{3}-9\cdot (6)^{2}+3[/tex]
[tex]f(6) = -105[/tex]
x = 12
[tex]f(12) = 12^{3}-9\cdot (12)^{2}+3[/tex]
[tex]f(12) = 435[/tex]
There are an absolute minimum (x = 6) and an absolute maximum (x = 12).
Which is the better deal per car? 12 car washes for $100 or 5 car washes for $45
Answer:
12 Car washes for $100
Step-by-step explanation:
mark brainliest please.
Answer:
12 cars for $100
Step-by-step explanation:
This is because on car with this deal would cost $8.33 while with deal 2 one car would cost $9 and you want the cheaper deal in this case.
Which of the following expressions is equal to 4+3(x-2)?
Answer:
i believe it is "3x+2"
Explanation:
first you distribute the 3 to the expression in the parenthesis and you get "3x-6" and add the +4 to the end of that expression and you get "3x-6+4" add "-6+4" and you get "-2" and then you get "3x--2"since a subtraction sign and a negative sign make it be addition you get the expression "3x+2"
To write the polynomial 3x3 + x2 − 8x5 + 2x3 − 4x in standard form, which terms should be combined? A. 3x3 and 2x3 B. 3x3, 2x3, and x2 C. x2 and −4x D. x2 and 2x3
Answer:
Option A. is correct
Step-by-step explanation:
Like terms are those terms that have same variables of same powers. Terms that are not like terms are said to be unlike terms.
For example [tex]2x^3,7x^3[/tex] are like terms and [tex]5x^2,9x^5[/tex] are unlike terms.
Given polynomial is [tex]3x^3+x^2-8x^5+2x^3-4x[/tex]
Like terms need to be combined to write the polynomial in standard form
Here, like terms are [tex]3x^3,2x^3[/tex]
Option A. is correct.
Write 1.96 ...... as a mixed number in simplest form.
One integer is 3 more than another. Their product is 70. Find the integers.
Answer:
(7, 10) or (-7, -10)
Step-by-step explanation:
If you need an explanation with this lmk but it's most likely answer choice.
