Answer:
A
Step-by-step explanation:
Cosine X= adjacent /hypotenuse
where adjacent=5 and hyp=13
Cos X=5/13
.A variety of stores offer loyalty programs. Participating shoppers swipe a bar-coded tag at the register when checking out and receive discounts on certain purchases. A typical Saturday morning shopper who does not participate in this program spends $120 on her or his order. In a sample of 80 shoppers participating in the loyalty program, each shopper spent $130 on average during a recent Saturday, with standard deviation $40. Is this statistical proof that the shoppers participating in the loyalty program spent more on average than typical shoppers?a.State the null and the alternative hypotheses.b.Find the p-value of the test.
Answer:
a) Null hypothesis:[tex]\mu \leq 120[/tex]
Alternative hypothesis:[tex]\mu > 120[/tex]
b) [tex]t=\frac{130-120}{\frac{40}{\sqrt{80}}}=2.236[/tex]
The degrees of freedom are given by:
[tex] df = n-1 = 80-1=79[/tex]
The p value for this case taking in count the alternative hypothesis would be:
[tex]p_v =P(t_{79}>2.236)=0.0141[/tex]
Step-by-step explanation:
Information given
[tex]\bar X=130[/tex] represent the sample mean for the amount spent each shopper
[tex]s=40[/tex] represent the sample standard deviation
[tex]n=80[/tex] sample size
[tex]\mu_o =120[/tex] represent the value to verify
t would represent the statistic
[tex]p_v[/tex] represent the p value f
Part a
We want to verify if the shoppers participating in the loyalty program spent more on average than typical shoppers, the system of hypothesis would be:
Null hypothesis:[tex]\mu \leq 120[/tex]
Alternative hypothesis:[tex]\mu > 120[/tex]
The statistic for this case would be given by:
[tex]t=\frac{\bar X-\mu_o}{\frac{s}{\sqrt{n}}}[/tex] (1)
Replacing the info given we got:
[tex]t=\frac{130-120}{\frac{40}{\sqrt{80}}}=2.236[/tex]
The degrees of freedom are given by:
[tex] df = n-1 = 80-1=79[/tex]
The p value for this case taking in count the alternative hypothesis would be:
[tex]p_v =P(t_{79}>2.236)=0.0141[/tex]
S. Solve the following system of equations algebraically.
3x-y = 0
5x + 2y = 22
Part II: Combine the two equations to eliminate one of the variables. Show the result of this
combination below. (2 points)
Answer:
11x = 22(x, y) = (2, 6)Step-by-step explanation:
Twice the first equation can be added to the second to eliminate the variable y.
2(3x -y) +(5x +2y) = 2(0) +(22)
11x = 22 . . . . . . . the result of the combination
__
Solving this gives ...
x = 2
Substituting into the first equation gives ...
3(2) -y = 0
y = 6
The solution is (x, y) = (2, 6).
The amounts of money Gillian earned each week from babysitting are $5, 10, $20, $10, $15, $5, $42, $5. How is the mean of the data set affected when the outlier is removed?
Answer:
The mean will increase, after the outlier is removed.
Graph the equation y=x²-8x+7 on the accompanying set of axes. You must plot 5 points including the roots and the vertex.
Answer:
vertex is: (4,-9)
y intercept= (0,7)
roots= (1,0) and (7,0)
Step-by-step explanation:
so we can use factoring to solve this quadratic equation real quick:
x^2-7x-1x+7
x(x-7)
-1(x-7)
(x-1)(x-7)=0
x-1=0
x=1
x-7=0
x=7
(1,0) and (7,0) are the roots
axis of symmetry: 8/2=4
substitute axsis of symmetry in equation to get vertex:
4^2-8(4)+7
16-32+7
-16+7=-9
vertex is: (4,-9)
y intercept= (0,7)
roots= (1,0) and (7,0)
Hope this helps
Sheila earns $8 per hour at her afterschool job. After working one week, she received a paycheck for $104. Write and solve an equation to find the number of hours Sheila worked. Fill in the blank with the solution only.
Answer:
13
Step-by-step explanation:
It should just be 104 divided by 8 which equals=13
7.6 cm
3.7 cm
Find the area of the parallelogram.
Answer:
7cm²
Step-by-step explanation:
write the ratio 6.5 : 3.25 in the form n : 1
Answer:2:1
Step-by-step explanation:
6.5:3.25
6.5/3.25=2/1
6.5:3.25=2:1
therefore n=2
Write an equation of the line passing through the point A(2, 0) that is parallel to the line y = 3x−5
Answer:
y = 3x-6
Step-by-step explanation:
y = 3x−5
This is in slope intercept form
y = mx+b where m is the slope and b is the y intercept
m =3
Parallel lines have the same slope
We have the slope m=3 and a point (2,0)
y = mx+b
y = 3x+b
Substituting the point into the equation to solve for b
0 = 3(2)+b
0 = 6+b
b = -6
y = 3x-6
Answer:
y = 3x - 6
Step-by-step explanation:
Parallel lines have the same slope,
So m = 3
y - 0 = 3(x - 2)
y = 3x - 6
PLEASE HELP SOLVE FOR ‘X’!!!
Answer:
x= 10
Step-by-step explanation:
1/5 x -2/3 = 4/3
Add 2/3 to each side
1/5x -2/3 +2/3 = 4/3 +2/3
1/5x = 6/3
1/5x = 2
Multiply each side by 5
1/5x * 5 = 2*5
x = 10
Math question please help
Answer:
y = -7x +8
Step-by-step explanation:
The slope-intercept form of the equation of a line is ...
y = mx +b
where m represents the slope, and b represents the y-intercept. The y-intercept is the value of y when x=0. Here, you have m=-7 and b=8. Your equation is ...
y = -7x +8
Please help ASAP! Will give BRAINLIEST! Please read the question THEN answer correctly! No guessing.
answer would be A because it u factor it out you will get your initial equation
PLEASE HELP!! DUE!!!!
Write the slope-intercept form of an equation for the line that passes through the given point and is parallel to the graph of the given equation. (−5, 6) and 12x+9y=3
Answer:
The equation is,
[tex]y = - \frac{4}{3}x - \frac{2}{3} [/tex]
Step-by-step explanation:
When a line is parallel to the other line, they will have the same gradient :
[tex]12x + 9y = 3[/tex]
[tex]9y = - 12x + 3[/tex]
[tex]y = - \frac{12}{9} x + \frac{3}{9} [/tex]
[tex]y = - \frac{4}{3} x + \frac{1}{3} [/tex]
We have already found the gradient. Next, we have to substitute the gradient and coordinates into the slope-form equation, y = mx + b :
[tex]y = mx + b[/tex]
Let m = -4/3,
Let x = -5,
Let y = 6,
[tex]6 = - \frac{ 4}{3} ( - 5) + b[/tex]
[tex]6 = \frac{20}{3} + b[/tex]
[tex]b = 6 - \frac{20}{3} [/tex]
[tex]b = - \frac{2}{3} [/tex]
f(x)=-9x^2-2x and g(x)=-3x^2+6x-9, find (f-g)(x) and (f-g)(-4)
Answer:
(f - g)(x)= - 6 {x}^{2} - 8x + 9
(f - g)(-4!)= - 55
Step-by-step explanation:
[tex]f(x) = - 9 {x}^{2} - 2x, \: \: g(x) = - 3 {x}^{2} + 6x - 9 \\ (f - g)(x) = f(x) - g(x) \\ = - 9 {x}^{2} - 2x - (- 3 {x}^{2} + 6x - 9) \\ = - 9 {x}^{2} - 2x + 3 {x}^{2} - 6x + 9 \\ \purple{ \boxed{ \bold{(f - g)(x)= - 6 {x}^{2} - 8x + 9}}} \\ (f - g)( - 4)= - 6 {( -4 )}^{2} - 8( - 4) + 9 \\ = - 6 \times 16 + 32 + 9 \\ = - 96 + 41 \\ \red{ \boxed{ \bold{(f - g)( - 4)= - 55}}}[/tex]
Tyson wants to buy some juice pouches. He has four options to choose from.
Which option has the lowest cost per pouch?
O A 8 pouches for $2.04
O B 10 pouches for $2.69
O C 12 pouches for $2.80
O D 16 pouches for $3.80
Explanation:
x = number of pouches
y = cost for having x number of pouches
To find the unit cost, divide y over x
For choices A through D we have the following unit costs
y/x = 2.04/8 = 0.255y/x = 2.69/10 = 0.269y/x = 2.80/12 = 0.233 (approximately)y/x = 3.80/16 = 0.2375We see that 0.233 is the lowest unit cost, so therefore, Choice C is the lowest cost per pouch.
a cinema seats 280 people. if 98 people are in the cinema what percentage of seats are filled?
Answer:
35%
Step-by-step explanation:
The total number of cinema seats can seat 280 people. Since 98 people take up 98 seats of the cinema, they are taking up 98 cinema seats out of the 280 cinema seats originally available.
As a fraction this would be written as [tex]\frac{98}{280}[/tex] .
What you want to do is then divide 98 by 280 or 98/280, to get 0.35.
To get the percentage of seats filled, you must multiply the decimal you get by 100.
So it should look like this and your result should be 35%.
[tex]\frac{98}{280} = 0.35 *100=35[/tex]%
In a recent poll, 30 percent of adults said they wanted to "cut down or be free of gluten," according to The NDP Group, the market-research company that conducted the poll. A researcher wonders if a smaller proportion of students at her university would respond in the same fashion. Suppose the researcher conducts a survey of a random sample of 25 students at her university and five of them say they want to at least reduce gluten. A statistician carries out a significance test of the null hypothesis that the proportion wanting to reduce gluten at the university is the same as for all adults versus the alternative hypothesis that a smaller proportion p of students would say they want to reduce or be free of gluten. What is the value of the standardized test statistic for this significance test? A) – 0.100 B) – 1.250 C) 0.200 D) – 1.091
Answer:
The value of the standardized test statistic for this significance test is -1.25.
Step-by-step explanation:
We are given that in a recent poll, 30 percent of adults said they wanted to "cut down or be free of gluten".
The researcher conducts a survey of a random sample of 25 students at her university and five of them say they want to at least reduce gluten.
Let p = population proportion of students wanting to reduce gluten at the university.
So, Null Hypothesis, [tex]H_0[/tex] : p = 30% {means that the proportion wanting to reduce gluten at the university is the same as for all adults}
Alternate Hypothesis, [tex]H_A[/tex] : p < 30% {means that a smaller proportion of students would say they want to reduce or be free of gluten}
The test statistics that would be used here One-sample z test for proportions;
T.S. = [tex]\frac{\hat p-p}{\sqrt\frac{\hat p(1-\hat p)}{n} {} }[/tex] ~ N(0,1)
where, [tex]\hat p[/tex] = sample proportion of students who would say they want to reduce or be free of gluten = [tex]\frac{5}{25}[/tex] = 0.20
n = sample of students taken = 25
So, the test statistics = [tex]\frac{0.20-0.30}{\sqrt\frac{0.20(1-0.20)}{25} {} }[/tex]
= -1.25
The value of standardized z test statistic is -1.25.
Using the z-distribution, it is found that the value of the standardized test statistic for this significance test is:
D) –1.091
At the null hypothesis, we test if the proportion is of 0.3, that is:
[tex]H_0: p = 0.3[/tex]
At the alternative hypothesis, we test if the proportion is of less than 0.3, that is:
[tex]H_1: p < 0.3[/tex]
The test statistic is given by:
[tex]z = \frac{\overline{p} - p}{\sqrt{\frac{p(1-p)}{n}}}[/tex]
In which:
[tex]\overline{p}[/tex] is the sample proportion.p is the proportion tested at the null hypothesis.n is the sample size.For this problem, the parameters are:
[tex]p = 0.3, n = 25, \overline{p} = \frac{5}{25} = 0.2[/tex]
Hence, the value of the test statistic is:
[tex]z = \frac{\overline{p} - p}{\sqrt{\frac{p(1-p)}{n}}}[/tex]
[tex]z = \frac{0.2 - 0.3}{\sqrt{\frac{0.3(0.7)}{25}}}[/tex]
[tex]z = -1.091[/tex]
A similar problem is given at https://brainly.com/question/24166849
The revenue for a business, as a function of units produced, x, is shown below by R(x). C(x) represents the cost of producing x units. Calculate the profit function and then determine how many units must be produced for the business to make a profit of $1220.
Did you ever figure this out. I need the answer for a test.
Raven is considering taking out a 30-year loan with monthly payments of
$145 at an APR of 1.3%, compounded monthly, and this equates to a loan of
$43,205.56. Assuming that the APR and the length of the loan remain fixed,
which of these is a correct statement?
Answer:
If Raven's monthly payment were $125, the amount of the loan that she is considering taking out would be less than $43,205.56.
Step-by-step explanation:
If you think about it this way it may be more simple. If the APR stays constant then a greater payment will result in a greater loan. The opposite is also true meaning a lesser payment will result in a lesser loan. If the amount Raven pays is greater than $145 then the loan will be greater than $43,205.56. If the amount she pays is less than $145 then the loan will be less than $43,205.56. Of the options, only one of these situations will be present. In my case, the correct option was a payment of $125 will result in a lesser loan than $43,205.56.
Answer:
If Raven's monthly payment were $125, the amount of the loan that she is considering taking out would be less than $43,205.56.
Step-by-step explanation:
There were 3,342 students enrolled at a university of those students 587 graduated in may over the sumer 32 students left the university and 645 new students enrolled in the fall how many students were enrolled in the fall
Answer:
645
Step-by-step explanation:
it says 645 were inrolled in the fall
is 1 1/12 more than 1 1/3 ?
Idk what it is asking.
Answer:
Jumbo burger with fried is 75%
chicken with salad is 65%
Step-by-step explanation:
you first split the burger and sides. You add up the sides to find the salad. Then add up the sides and burgers
Answer:
What is the probability that he order a Jumbo Burger with Regular Fries or a Chicken Sandwich with a Salad? Make an area or tree diagram to help with the problem.
Answer to question: 20% for Jumbo Burger with Regular Fries and 10.5% for Chicken Sandwich with a Salad.
Step-by-step explanation:
You are going to find the probability that he order a Jumbo Burger with Regular Fries or a Chicken Sandwhich with a Salad by using a area model or a tree diagram. Although you ddin't ask me to solve it, I'm gonna help you with it anyways.
Sandwhiches:
50% - Jumbo Burger (JB)
30% - Chicken Sandwich (CS)
20% - Regular Burger (RB)
Sides:
40% - Curly Fries (CF)
35% - Salad (S)
25% - Regular Fries (RF)
Acronyms
Jumbo Burger (JB) + Curly Fries (CF) = JBCF
Jumbo Burger (JB) + Salad (S) = JBS
Jumbo Burger (JB) + Regular Fries (RF) = JBRF
Chicken Sandwich (CS) + Curly Fries (CF) = CSCF
Chicken Sandwich (CS) + Salad (S) = CSS
Chicken Sandwich (CS) + Regular Fries (RF) = CSRF
Regular Burger (RB) + Curly Fries (CF) = RBCF
Regular Burger (RB) + Salad (S) = RBS
Regular Burger (RB) + Regular Fries (RF) = RBRF
Probability of combinations:
JBCF = 0.5 x 0.4 = 0.20
JBS = 0.5 x 0.35 = 17.5
JBRF = 0.5 x 0.25 = 12.5
CSCF = 0.3 x 0.4 = 12
CSS = 0.3 x 0.35 = 10.5
CSRF = 0.3 x 0.25 = 7.5
RBCF = 0.2 x 0.4 = 8
RBS = 0.2 x 0.35 = 7
RBRF = 0.2 x 0.25 = 5
Your tree diagram should look something like this:
CF(40%)- outcome - JBCF (20%)
/
(50%)JB --- S(35%)- outcome - JBS (17.5%)
\
RF(25%)- outcome - JBRF (12.5%)
CF(40%)- outcome - CSCF (12%)
/
(30%)CS --- S(35%)- outcome - CSS (10.5%)
\
RF(25%)- outcome - CSRF (7.5%)
CF(40%)- outcome - RBCF (8%)
/
(20%)RB --- S(35%)- outcome - RBS (7%)
\
RF(25%)- outcome - RBRF (5%)
Hope this helps because this took forever :D
A bag contains 1 yellow, 2 blue, 4 green, and 3 red marbles. A marble is drawn and replaced. Then a
second marble is drawn.
Part A
What is P (blue, then blue)?
Part B
What is P (green, then red)?
Answer:
Step-by-step explanation:
total = 1 + 2 + 4 + 3 = 10
blue then blue = 2/10 * 2/10 = 1/5 * 1/5 = 1/25
green then red = 4/10 * 3/10 = 12/100 = 3/25
Use the figure to find the measures of the numbered angles.
Answer:
Hope this helps pls mark brainliest
What is the area of the paraalllegram
Answer:24
Step-by-step explanation:
Height =4
Base=6
Area of parallelogram=base x height
Area of parallelogram=6 x 4
Area of parallelogram=24
Avicenna, a major insurance company, offers five-year life insurance policies to -65 year-olds. If the holder of one of these policies dies before the age of 70 , the company must pay out $24,200 to the beneficiary of the policy. Executives at Avicenna are considering offering these policies for $573 each. Suppose that for each holder of a policy there is a 2% chance that they will die before the age of and 70 a 98% chance they will live to the age of 70.
Answer:
The question is about the least amount to charge each policyholder as premium
The least premium is $484
Step-by-step explanation:
The least amount of premium to charge for this policy is the sum of the expected values of outcome of both instances of policyholder dying before the age of 70 and living after the age of 70 years
expected value of dying before 70 years=payout*probability=$24,200*2%=$484
Expected of living after 70=payout*probability=$0*98%=$0
sum of expected values=$484+$0=$484
Note that payout is nil if policyholder lives beyond 70 years
The premium of $573 means that a profit of $89 is recorded
Which category is not one of the major responsibilities of state government?
A. Economic development
B. Corrections
C. Electrical power
D. Law enforcement
Answer: C electricity
Step-by-step explanation:
It is
just need the first question
Answer:
[2,3)
Step-by-step explanation:
[0,1), [0,1),[0,1),[0,1)
[1,2), [1,2),[1,2),[1,2),[1,2),[1,2),[1,2),[1,2)
[2,3),[2,3),[2,3),[2,3),[2,3),[2,3),[2,3),[2,3),[2,3),[2,3),[2,3)
[3,4),[3,4),[3,4),[3,4),[3,4),[3,4),[3,4)
Th The radius of a circle is 7 feet what is the circles?Use 3.14 for pie?
Please help due in 30 min!!!!!!
100 points
Answer:
43.96
Step-by-step explanation:
ok so you use the formula: A= 3.14•r•2 next you plug in your values a=3.14•7•2 3.14•7= 28.98•2=43.96
Answer:
43.96
im dying on the question before that one it says "What issues are you having when it comes to area and circumference" you typed nothing really and here you are asking us whats the circles area lol
Step-by-step explanation:
After seeing countless commercials claiming one can get cheaper car insurance from an online company, a local insurance agent was concerned that he might lose some customers. To investigate, he randomly selected profiles for 10 of his clients and checked online price quotes for their policies. Then, based on paired data on the 10 clients (the price he offered them and the corresponding online quote) and using Excel’s t-test for paired data, he obtained t-statistic = 0.709 p-value = 0.248 Note that the above is based on the difference between his price and online quotes.
What are the null and alternative hypotheses, respectively?
Answer:
Null Hypothesis, [tex]H_0[/tex] : [tex]\mu_d[/tex] = 0
Alternate Hypothesis, [tex]\mu_d\neq[/tex] 0
Step-by-step explanation:
We are given that a local insurance agent randomly selected profiles for 10 of his clients and checked online price quotes for their policies.
Then, based on paired data on the 10 clients (the price he offered them and the corresponding online quote), he obtained t-statistic = 0.709 p-value = 0.248.
Here , we will use the concept of Paired data test statistics because the prices that the local insurance agent offered and the corresponding online quotes are from the same single data. These information has not been taken from the two independent samples.
So, Null Hypothesis, [tex]H_0[/tex] : [tex]\mu_d[/tex] = 0
Alternate Hypothesis, [tex]\mu_d\neq[/tex] 0
Here, null hypothesis states that there is no difference between the price he offered them and the corresponding online quote.
On the other hand, alternate hypothesis states that there is difference between the price he offered them and the corresponding online quote.
Hence, this would be the correct null and alternative hypothesis.
A triangle is a parallelogram with all sides the same length.
Answer:
False
Step-by-step explanation: