Answer:
[tex]k-m=b[/tex]
[tex]b-m=diff[/tex]
Step-by-step explanation:
If there are total of k students in a class, and m of those students are girls, the total amount of boys would be:
[tex]k-m=b[/tex]
(Where k, m, b are variables that represent the total number of students, the amount of girls and the amount of boys respectively)
As the amount of girls subtracted from the total amount would leave you with the amount of boys.
There would be:
[tex]b-m[/tex] more boys than girls.
If there were 10 total students in the class and 3 of those students were girls, lets use our above equations to see if they are correct - and if we get the expected amounts of:
7 boys in the class, and 4 more boys than there are girls.
[tex]k-m=b\\10-3=7\\7=7[/tex]
This is correct, as we expected this amount.
[tex]b-m=diff\\7-3=4[/tex]
The difference between them is 4, so this is correct.
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
Paul owns a mobile wood-fired pizza oven operation. A couple of his clients complained about his dough at a recent catering, so he changed his dough to a newer product. Using the old dough, there were 6 complaints out of 385 pizzas. With the new dough, there were 16 complaints out of 340 pizzas. Let p 1 be the proportion of customer complaints with the old dough and p 2 be the proportion of customer complaints with the new dough. State the competing hypotheses to determine if the proportion of customer complaints using the old dough is less than the proportion of customer complaints using the new dough g
Answer:
[tex]z=\frac{0.0156-0.0471}{\sqrt{0.0303(1-0.0303)(\frac{1}{385}+\frac{1}{340})}}=-2.469[/tex]
Now we can calculate the p value with this probability:
[tex]p_v =P(Z<-2.469)= 0.0068[/tex]
Since the p value is a very low value and using any significance level 5% or 10% we have enough evidence to reject the null hypothesis and we can conclude that the true proportion of customer complaints using the old dough is less than the proportion of customer complaints using the new dough.
Step-by-step explanation:
Information provided
[tex]X_{1}=6[/tex] represent the complaints with the old dough
[tex]X_{2}=16[/tex] represent the complaints with the new dough
[tex]n_{1}=385[/tex] sample 1 selected
[tex]n_{2}=340[/tex] sample 2 selected
[tex]p_{1}=\frac{6}{385}=0.0156[/tex] represent the proportion of complaints with the old dough
[tex]p_{2}=\frac{16}{340}=0.0471[/tex] represent the proportion of complaints with the new dough
[tex]\hat p[/tex] represent the pooled estimate of p
z would represent the statistic
[tex]p_v[/tex] represent the value
Hypothesis to test
We want to verify if the proportion of customer complaints using the old dough is less than the proportion of customer complaints using the new dough, the system of hypothesis would be:
Null hypothesis:[tex]p_{1} \geq p_{2}[/tex]
Alternative hypothesis:[tex]p_{1} < p_{2}[/tex]
The statitsic is given by:
[tex]z=\frac{p_{1}-p_{2}}{\sqrt{\hat p (1-\hat p)(\frac{1}{n_{1}}+\frac{1}{n_{2}})}}[/tex] (1)
Where [tex]\hat p=\frac{X_{1}+X_{2}}{n_{1}+n_{2}}=\frac{6+16}{385+340}=0.0303[/tex]
Replacing the info provided we got:
[tex]z=\frac{0.0156-0.0471}{\sqrt{0.0303(1-0.0303)(\frac{1}{385}+\frac{1}{340})}}=-2.469[/tex]
Now we can calculate the p value with this probability:
[tex]p_v =P(Z<-2.469)= 0.0068[/tex]
Since the p value is a very low value and using any significance level 5% or 10% we have enough evidence to reject the null hypothesis and we can conclude that the true proportion of customer complaints using the old dough is less than the proportion of customer complaints using the new dough.
.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]
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
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
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
7.6 cm
3.7 cm
Find the area of the parallelogram.
Answer:
7cm²
Step-by-step explanation:
a semitruck has 18 wheels. the semitruck has 3 times as many wheels than a garbage truck.how many wheels does a garbage truck have? need by 11;00 am
Answer:
The answer is the garbage truck had 6 wheels
Step-by-step explanation:
Since the semitruck has 18 wheels and the semitruck had 3 times more wheels than a garbage truck all you would have to do is divide 18 by 3 and you will get 6 as your answer.
Hope this helps, its my first time answering.
Carla Ridley is a high school algebra teacher. Her annual salary is $38,625.00. If she receives a pay check every month of the year, what is her monthly salary?
Answer:
3218.75 a month
Step-by-step explanation:
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
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
a. Using the pairs of values for all 10 points, find the equation of the regression line. b. After removing the point with coordinates (2 comma 2 ), use the pairs of values for the remaining 9 points and find the equation of the regression line. c. Compare the results from parts (a) and (b). 0 2 4 6 8 10 0 2 4 6 8 10 x y A scatterplot has a horizontal x-scale from 0 to 10 in increments of 1 and vertical y-scale from 0 to 10 in increments of 1. Ten points are plotted with nine points, (5, 5), (6, 5), (7, 5), (5, 6), (6, 6), (6, 6), (7, 6), (5, 7), (6, 7), and (7, 7), forming a square and the tenth point (2, 2) being below and to the left of the square. a. What is the equation of the regression line for all 10 points? ModifyingAbove y with caretequals 1.647plus 0.706x (Round to three decimal places as needed.) b. What is the equation of the regression line for the set of 9 points? ModifyingAbove y with caretequals 6 (Round to three decimal places as needed.) c. Choose the correct description of the results below. A. The removal of the point has a significant impact on the regression line. B. The regression line changes, but the change is small. C. There is no regression line for the second case because the data are in a pattern. D. The regression line is very similar in both cases.
Answer:B. The regression line changes, but the change is small. C. There is no regression line for the second case because the data are in a pattern. D. The regression line is very similar in both cases.
Step-by-step explanation:
Given the set of integers one through 12 what is the probability choosing an odd number or a number greater than nine
Answer:
1/4
Step-by-step explanation:
the numbers greater than nine are: 10,11,12
1,3,5,7,9
So that is nine numbers
9/12 can be simplified to 3/4 if you divide by 3
if you like my answer please give me the brainliest. I'm trying to boost my rank and I'm really close
3.6 x 0.025 is my question to be answered
Answer:
0.09
because I multiplied...
Answer:
0.09
Step-by-step explanation:
36/ 10 x 25/ 1000 = 18/ 5 x 1/40 = 9/100 = 0.09
What is the value of a in the equation below? 2a + 3 = 4a + 5
Please show work :)
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:
The triangles are congruent by SSS or HL
Answer:
True? What are you asking
Step-by-step explanation:
But yes triangles are congruent by either of those
Answer:
you're not really asking anything, or is this a true/false statement
Step-by-step explanation:
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]%
Jonathan borrowed $475 at a simple annual interest rate of 2%. How many years will it take him to repay the loan if he wants to pay $38 in interest?
Answer:
Ummmm 2 I think
Step-by-step explanation:
Answer:
4
Step-by-step explanation:
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
Help!.!.!.!.!.!.!.!.!.!.!.!.!.!!.!.!.!.!.!.!.!.!.!.
Answer:
~ 0.375 centimeters of the snowflake in real life ~
Step-by-step explanation:
Let us plan out our steps, and solve for each:
1. Given the information, let us create a proportionality as such:
48 = 1 ⇒ x - centimeters of the snowflake in real life
18 x
2. Now let us cross multiply, and solve through simple algebra for x:
48 * x = 18,
x = 0.375 centimeters of the snowflake in real ife
There are 5 slices of pepperoni pizza, 1 slice of sausage pizzá, and 3 slices of cheese pizza left at the pizza party. Without looking, Amy took a slice of pizza, ate it, and then took another slice. What is the probability of Amy eating two slices of cheese pizza?
Answer:
3/8
Step-by-step explanation:
add 5+1+3=9
and there is 3 cheese pizza so its 3 over 8.
Answer:
3/9
Step-by-step explanation:
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.
If a shirt costs $40 and the amount of tax collected was $2 what is the sales tax rate?
Answer:
5%
Step-by-step explanation:
To find the tax, we take the price times the tax rate
2 = 40* rate
Divide each side by 40
2/40 =rate
.05 = rate
Changing to percent form
5% = rate
Answer:
tax rate = 2 / 40 = 1 /20 = 0.05 *100 = 5%
Step-by-step explanation:
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
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
is 1 1/12 more than 1 1/3 ?
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)
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
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:
