Answer:
51.2578125
Step-by-step explanation:
3 * (3/2)^(8 - 1)
3 *(3/2)^7
51.2578125
a private and a public university are located in the same city. for the private university, 1046 alumni were surveyed and 653 said that they attended at least one class reunion. for the public university, 791 out of 1327 sampled alumni claimed they have attended at least one class reunion. is the difference in the sample proportions statistically significant at the 1% level?
Using the z-distribution, it is found that since the absolute value of the test statistic is less than the critical value, the difference in the sample proportions is not statistically significant at the 1% level.
At the null hypothesis, we test if the proportions are the same, that is, their subtraction is 0, hence:
[tex]H_0: p_1 - p_2 = 0[/tex]
At the alternative hypothesis, it is tested if they are different, that is, their subtraction is not 0, hence:
[tex]H_1: p_1 - p_2 \neq 0[/tex]
The proportions and their respective standard errors are given by:
[tex]p_1 = \frac{653}{1046} = 0.6343, s_1 = \sqrt{\frac{0.6343(0.3657)}{1046}} = 0.0149[/tex]
[tex]p_2 = \frac{791}{1327} = 0.5961, s_2 = \sqrt{\frac{0.5961(0.4039)}{1327}} = 0.0135[/tex]
For the distribution of the difference, the mean and the standard error are given by:
[tex]\overline{p} = p_1 - p_2 = 0.6343 - 0.5961 = 0.0382[/tex]
[tex]s = \sqrt{s_1^2 + s_2^2} = \sqrt{0.0149^2 + 0.0135^2} = 0.0201[/tex]
The test statistic is:
[tex]z = \frac{\overline{p} - p}{s}[/tex]
In which [tex]p = 0[/tex] is the value tested at the null hypothesis.
Hence:
[tex]z = \frac{\overline{p} - p}{s}[/tex]
[tex]z = \frac{0.0382 - 0}{0.0201}[/tex]
[tex]z = 1.9[/tex]
The critical value for a two-tailed test, as we are testing if two values are different, with a significance level of 0.01, is of [tex]|z^{\ast}| = 2.576[/tex]
Since the absolute value of the test statistic is less than the critical value, the difference in the sample proportions is not statistically significant at the 1% level.
A similar problem is given at https://brainly.com/question/25728144
What is the equation, in slope-intercept form, that relates the cost compared to the miles traveled for a Green Cab?
Step-by-step explanation:
Red taxi : y = 2x + 2
Green taxi : y = x + 5
Y are the costs of a ride, X are the miles of a ride.
The y-intercepts are the cost of just getting into a cab.
So, that is $2 for a red cab and $5 for a green cab.
Every mile with a red cab costs $2, while every mile with a green cab costs $1.
Hope this helps :)
4.It is your first day on the job. Your supervisor asks you to distribute materials to three job sites. She asks you to take the following to each site: How much of each material do you load on the truck?
Answer:
27 boxes of nails, 26 boxes of drywall, 46 rolls of insulation, 30 bags of mortar mix
Step-by-step explanation:
Boxes of nails = 4 + 13 + 10 = 27
Boxes of drywall = 6 + 9 + 11 = 26
Rolls of insulation = 18 + 23 + 5 = 46
Bags of mortar mix = 12 + 4 + 14 = 30
what is the equation of line that passes through(-6,-3) and is parrelel to the line 5x-3y=9
Answer:
y+3=5/3(x+6)
Step-by-step explanation:
Since it is parallel to 5x-3y=9, you need to find the slope of that line because then you would find the slope to your line.
5x-3y=9
5x=9+3y
5x-9=3y
y=5/3x-3, and the slope would be 5/3.
Now you can apply point slope form [tex]y-y_{1}=m(x-x_{1} )[/tex] to get an equation.
y+3=5/3(x+6)
Answer: [tex]\frac{5}{3}[/tex]x + 7
Step-by-step explanation:
PLEASE HELP ME WILL GIVE BRAINLIEST!!!!!
How do you graph the solution set to a system of linear inequalities in two variables (pretend you are the teacher and you are teaching me how to graph it)?
Answer:
Graph both of the line inequalities on the same coordinate graph, and then the overlap will be your answer.
Step-by-step explanation:
An example is attached! The purple-ish on the right would be your solution set.
- b. Yolanda played a new number game with Xavier. She used this equation to generate her response to each number Xavier said: y = x - 2 Describe with words the rule Yolanda uses. Then make a function table a that shows the numbers Yolanda says for four numbers Xavier might say. Use 0 for one of Xavier's numbers and three more numbers of your choosing. Is the function linear? Is it proportional?
(a) One possibility is 8.45
Rounded to the nearest integer = 8
Rounded to the nearest tenth = 8.5
And rounding this to the nearest integer = 9
(b) The possible numbers are 8.45 to 8.49, inclusively
Answer:
Table is below in explantation
Not proportional
yes, linear
Step-by-step explanation:
We substitute and solve:
TABLE:
X --> Y
0 --> -2 (0-2 = -2)
1 --> -1
2 --> 0
Yes, it is linear, the slope is 1 and is written in slope - intercept form
No, not proportional, the y - intercept is (0, -2) not (0,0)
3 of 5 people were eligible to vote 180 citizens actually voted
A loaf of bread that serves six people calls for 1 and 1/2 cups of all purpose flour and 5/6cups of chickpea flour you want to make a loaf of bread so that it will serve nine people how much flour all together will you need
Answer: 3 cups of flour
Step-by-step explanation:
Triangle ABC has perimeter 22 cm.
AB = 8cm
BC = 5cm
By calculation, deduce whether triangle ABC is a right-angled triangle.
Answer:
Step-by-step explanation:
A = 8 cm
B = 5 cm
C = 22 - 8 - 5 = 9 cm
Use the Pythagreom Theroem (a^2 + b^2 = c^2) if the two sides are equal to one another than it is a right triangle.
8^2 + 5^2 = 9^2
64 + 25 = 81
89 = 81
89 does not equal 81, so this is not a right triangle.
În figura alăturată, este un pătrat cu = 12 cm, punctul este mijlocul lui (), ∩ = {}, iar
∩ = {}
Answer:
yes
Step-by-step explanation:
Josiah has a loyalty card good for a discount at his local grocery store. The item he wants to buy is priced at $33, before discount and tax. After the discount, and before tax, the price is $30.69. Find the percent discount.
Will mark BRAINLIEST I Promise.
two tanker contains 700 L + 750 mL of milk respective find the maximum capacity of a container which the musical each container exact number of time
Answer:
350L 375ML
Step-by-step explanation:
1 2 3 4 01 6 7 8 00 9 A laptop has a listed price of $590.99 before tax. If the sales tax rate is 6.25%, find the total cost of the laptop with sales tax included Round your answer to the nearest cent, as necessary.
Answer: $627.93
Step-by-step explanation:
If tax is 6.25%
6.25% of $590.99= $36.94
Price + tax = total cost
Total cost = $590.99 + $36.94 = $627.93
write the equation of the line in fully simplified slope-intercept form
Answer:
y = 3/5x+1
Step-by-step explanation:
y intercept - (0,1), so b=1
Slope = rise/run = 3/5, so m = 3/5
Our Answer is y = 3/5x+1
Which expression is an equivalent expression for 2(6y – 4)?
A. 8x – 2
B. 12y – 8
C. 8y
D. 12y + 4
Answer:
B.
Step-by-step explanation:
Because you have to multiply 6y by 2 that is 12y and you have to multiply -4 by 2 that is - 8, you put it together and it's 12y - 8.
what is the weight of a square if a triangle weighs 4 grams
Answer:
8 grams
Step-by-step explanation:
Given the formula for area of a triangle versus a square:
Square = bh
Triangle = 1/2bh
A triangle has half of the area of a square, therefore it should weigh half as much. Multiply the weight by 2.
4 * 2 = 8
What is 16 1/2 as an improper fraction.
pls help with this question asap!
Answer:
ggggggggggggggggggggg
halfway between -20 and 10
Answer:
[tex]-5[/tex]
Step-by-step explanation:
Add the two numbers and divide by 2, [tex]-20 + 10 = -10[/tex], [tex]-10 /2 = -5[/tex]
I don't understand this question can someone help me with this please, please explain!! and thank you for the help!! If u dont know try your best. Please do it quick, please do all :D
Answer:
1. C) .4
2. B) 2 1/4
3. D) 3 5/8
Step-by-step explanation:
1. The question is asking what fraction (represented in decimal form) did Maria spend. To find this, divide 18/45 because Maria spent $18 of her $45. When you complete this calculation, you get .4
2. When you look at where the line ends, it's at the first quarter line after the 2, meaning that the line is 2 and one quarter or 2 1/4
3. 8 times 3 is 24, which is the closest multiple of 8 to 29. However, since there is still 5 left over (which still needs to be divided by 8) it would be represented by the mxed fraction.
185/6 helppppppppopppooooooooo meee
Answer:
30 5/6
Step-by-step explanation:
185 = 30x6 + 5
Answer:
30 5/6
Step-by-step explanation:
goodluck guyssSana Tama yanLet f(x)=cosx. Determine the x-value(s) where the function has a maximum or minimum value on [0,2π).
Answer:
can u say what subject is that
(0, 1) is a local maxima and (π, −1) is a local minima of the given function.
The given function is f(x)=cos(x).
What is a function?Functions are the fundamental part of the calculus in mathematics. The functions are the special types of relations. A function in math is visualized as a rule, which gives a unique output for every input x.
Graph the trigonometric function using the amplitude, period, phase shift, and vertical shift.
Amplitude: 1
Period: 2π
Phase Shift: None
Vertical Shift: None
The coordinates to plot the graph are (0, 1), (π/2, 0), (π, -1),....
To find the x-intercept, substitute in 0 for y and solve for x.
To find the y-intercept, substitute in 0 for x and solve for y.
x-intercept(s): (π/2 +πn,0), for any integer n
y-intercept(s): (0,1)
Use the derivative to find the maximum and minimum.
(0, 1) is a local maxima and (π, −1) is a local minima
Therefore, (0, 1) is a local maxima and (π, −1) is a local minima of the given function.
To learn more about the function visit:
https://brainly.com/question/9554035.
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solve for c.
c + 3/8 = 1 1/3
Enter your answer as a fraction in simplest form.
Answer:
Let's solve your equation step-by-step.
c+
3
8
=1
1
3
Step 1: Simplify both sides of the equation.
c+
3
8
=
4
3
Step 2: Subtract 3/8 from both sides.
c+
3
8
−
3
8
=
4
3
−
3
8
c=
23
24
Answer:
c=
23
24
lily likes to collect records. Last year had 12 records in collection. Now has 15 records. What is the percent increase of collection?
Answer:
25% increase in records
Step-by-step explanation:
25% = 1/4
1/4 of 12 = 3
she got 3 new records, therefore a 25% increase
I NEED HELP AS SOON AS POSSIBLE Which of the following describes the location of the opposite of the number that R represents on this line? vertical number line from negative 6 to positive 6 in increments of 2 is shown. Only the whole even numbers are labeled. A point labeled R is placed on the 2nd tick mark below the 0. At a distance of 4 tick marks above 0 At a distance of 4 tick marks below 0 At a distance of 2 tick marks below 0 At a distance of 2 tick marks above 0
Answer:
At a distance of 4 tick marks above 0
Step-by-step explanation:
50 point question. Please help my math grade is way to low
Answer:
1 1/2
Step-by-step explanation:
it takes 15 min to leak 1/8 just multiple the min to 3 hours which then you'll get 1 1/2 gallons that will leak at 3 hours
Which graph has exactly one y-intercept
Answer:
B
Step-by-step explanation:
It touches the y-axis (one y - intercept)
It also touches the x-axis( one x-intercept)
-Chetan K
ΔABC is an equilateral triangle with AD perpendicular to BC. Prove that ΔADB ≅ ΔADC.
Step-by-step explanation:
An equilateral triangle means all sides are congruent.
AB≅BC≅AC
All angles are also congruent.
∠ABC≅∠BCA≅∠CAB
AD being perpendicular makes it a bisector of both BC and ∠CAB.
BD≅CD
∠BAD≅∠CAD
Now, there are multiple ways to prove that ΔADB≅ΔADC. All 3 sides and all 3 angles of both triangles are congruent, so you could do it however you want.
1) ASA (one of the possible ASA combinations)
∠ABD ≅ ∠ACD because this is an equilateral triangleBD ≅ CD because AD bisects BC∠BDA ≅ ∠CDA because AD is perpendicular to BC, both 90°2) HL (again, one of the multiple possible HL combinations)
AD is perpendicular to BC, creating 2 right trianglesAB ≅ AC because ΔABC is equilateralAD ≅ DA by the reflexive property, it is congruent to itselfThere are many more but I won't write them all out.
A fisherman has 420 crabs. He sold one tenth of the crabs for a party. Then he sold two-thirds of the remaining crabs to a restaurant. The fisherman estimates that he has 232 crabs left. How far off is the fisherman's estimate?
Answer:
The answer I'd 28464835383637533
Find the quotient. 4/12÷4/12=
Answer:
1
Step-by-step explanation:
Factor the numerator and denominator and cancel the common factors.