Answer:
5x - 2
Step-by-step explanation:
Work out
4 3/5 - 2 2/5
Give your answer as a mixed number in its simplest form.
Answer:
2 1/5
Step-by-step explanation:
4 3/5 - 2 2/5
I like to make them vertical
4 3/5
- 2 2/5
-----------------
2 1/5
A study was performed to determine the percentage of people who wear life vests while out on the water. A researcher believed that the percentage was different for those who rode jet skis compared to those who were in boats. Out of 500 randomly selected people who rode a jet ski, 85% wore life vests. Out of 250 randomly selected boaters, 90.4% wore life vests. Using a 0.05 level of significance, test the claim that the proportion of people who wear life vests while riding a jet ski is not the same as the proportion of people who wear life vests while riding in a boat. Let jet skiers be Population 1 and let boaters be Population 2. State the null and alternative hypotheses for the test.
Answer:
The null hypothesis is [tex]H_0: p_1 - p_2 = 0[/tex]
The alternate hypothesis is [tex]H_a: p_1 - p_2 \neq 0[/tex]
The pvalue of the test is 0.03 < 0.05, which means that we have enough evidence to accept the alternative hypothesis that he proportion of people who wear life vests while riding a jet ski is not the same as the proportion of people who wear life vests while riding in a boat.
Step-by-step explanation:
Before testing the null hypothesis, we need to understand the Central Limit Theorem and subtraction of normal variables.
Central Limit Theorem
The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean [tex]\mu = p[/tex] and standard deviation [tex]s = \sqrt{\frac{p(1-p)}{n}}[/tex]
Subtraction between normal variables:
When two normal variables are subtracted, the mean is the difference of the means, while the standard deviation is the square root of the sum of the variances.
Out of 500 randomly selected people who rode a jet ski, 85% wore life vests.
This means that [tex]p_1 = 0.85, s_1 = \sqrt{\frac{0.85*0.15}{500}} = 0.016[/tex]
Out of 250 randomly selected boaters, 90.4% wore life vests.
This means that [tex]p_2 = 0.904, s_2 = \sqrt{\frac{{0.904*0.096}{250}} = 0.019[/tex]
Test the claim that the proportion of people who wear life vests while riding a jet ski is not the same as the proportion of people who wear life vests while riding in a boat.
At the null hypothesis, we test that the proportions are the same, that is, the subtraction between them is zero. So
[tex]H_0: p_1 - p_2 = 0[/tex]
At the alternate hypothesis, we test that the proportions are different, that is, the subtraction between them is different of zero. So
[tex]H_a: p_1 - p_2 \neq 0[/tex]
The test statistic is:
[tex]z = \frac{X - \mu}{s}[/tex]
In which X is the sample mean, [tex]\mu[/tex] is the value tested at the null hypothesis and s is the standard error.
0 is tested at the null hypothesis:
This means that [tex]\mu = 0[/tex]
From the two samples, we have that:
[tex]X = p_1 - p_2 = 0.85 - 0.904 = -0.054[/tex]
[tex]s = \sqrt{s_1^2+s_2^2} = \sqrt{0.016^2 + 0.019^2} = 0.0248[/tex]
Test statistic:
[tex]z = \frac{X - \mu}{s}[/tex]
[tex]z = \frac{-0.054 - 0}{0.0248}[/tex]
[tex]z = -2.17[/tex]
Pvalue of the test and decision:
The pvalue of the test is the probability that the difference differs from 0 by at least 0.054, which is P(|Z| > 2.17), which is 2 multiplied by the pvalue of z = -2.17
Looking at the z-table, z = -2.17 has a pvalue of 0.015
2*0.015 = 0.03
The pvalue of the test is 0.03 < 0.05, which means that we have enough evidence to accept the alternative hypothesis that he proportion of people who wear life vests while riding a jet ski is not the same as the proportion of people who wear life vests while riding in a boat.
I neeed help on thesse last two my test ends in 3 min help
Answer:
cjones8806
Virtuoso
38 answers
183 people helped
i need points sorry I cant help
Step-by-step explanation:
green box?
(srry if it isn't correct, but that's what I got!!)
rlly sorry
50 POINTS !!
PLEASE HELP !! ILL GIVE BRAINLIEST TO THE RIGHT ANSWERS.
Please help answer this question
X= 4 this solution is valid
X= 20 this solution is valid
Eli is moving to a new city. He packs his belongings in cube-shaped boxes that each have a volume of one cubic foot. He places the boxes in a storage unit that is shaped like a rectangular prism. The floor of the storage unit can be completely covered by a layer of 150 boxes. If 6 layers of boxes can completely fill the storage unit, what is its volume?
Answer:
jnnm mnn m
Step-by-step explanation:
any help please .. using the last of my points for this :/
A bag contains 5 blue, 4 red, 7 black and 2 white marbles. What is the probability of selecting a marble that is NOT white or red?
What is 3/4-5/8?
? Give your answer in its simplest form.
Answer:
1 over 8
1
8
=0.125
Step-by-step explanation:
Some1 hurry need help!!
Answer:
A
Step-by-step explanation:
Because it's reflected across the x-axis, the x coordinate doesn't change. On the other hand, the y coordinate becomes its opposite. So we get:
(4, 2) -> (4, -2)
NEED HELP ASAP! WILL GIVE BRAINLY :)
Answer:
y = x - 3
Step-by-step explanation:
Slope = Rise / run
Slope = 4/4 = 1
y-intercept = -3
y = x - 3
Select the correct answer.
Wayne is holding a can of juice that has a diameter of 4 inches. There is a price tag stuck to the side of the can. Wayne places the can on its with
side with the sticker on the bottom and rolls it across a table top at a constant speed. The can reaches Wayne's friend at the other end of the
table in 5 seconds and completes 4 full rotations,
Which function could represent the price tag's height relative to the table top, h(t), after it has been rolling for e seconds?
OA n(t) = 2008(832) +2
O B. h(t) =-2005(522) +2
OC h(t) = –2sin(572) +2
OD. h(t) = 4sin (22) +4
Answer:
A.
Step-by-step explanation:
Trial and error on the Desmos graphing calculator
Answer:
The correct answer is B. h(t)=-2cos(5pi/2t)+2
Step-by-step explanation:
Took the test
2.2 A large supermarket offers an internet shopping service to its customers. It recently conducted
a survey amongst its customers to find out if full time employed customers are more likely to use
the internet shopping facility than at home customers. The survey findings are summarized in the
following cross-tabulation table:
Employment status
Use internet shopping
Yes
No
Full-time
35
109
At-home
40
176
At the 5% significance level, is there sufficient statistical evidence to conclude that full-time
employed customers are more likely to use the internet shopping service than at-home
customers? (ie, is employment status and the use of internet shopping statistically dependent?)
What conclusion can be drawn
If two angles are supplementary and one angle is xº what is the measure of the other angle?
Answer:
Supplementary angles are equal to 180 so whatever number is on one angle the number subract that number with 180 and then you have answer for x
Step-by-step explanation:
Find the sum of the measures of the INTERIOR angles in 36-gon polygon
Answer: 6120
Step-by-step explanation:
The equation for the interior angles of a polygon is (n-2)180. So using the equation, (36-2)180=(34)180=6120.
Shoemakers of America forecasts the following demand for the next six months: 5000 pairs in month 1; 6000 pairs in month 2; 7000 pairs in month 3; 9000 pairs in month 4; 6000 pairs in month 5; 5000 pairs in month 6. It takes a shoemaker 20 minutes to produce a pair of shoes. Each shoemaker works 150 hours per month plus up to 40 hours per month of overtime. A shoemaker is paid a regular salary of $2000 per month plus $20 per hour for overtime. At the beginning of each month, Shoemakers can either hire or fire workers. It costs the company $1000 to hire a worker and $1200 to fire a worker. The monthly holding cost per pair of shoes is 5% of the cost of producing a pair of shoes with regular-time labor. The raw materials in a pair of shoes cost $10. At the beginning of month 1, Shoemakers has 15 workers and 500 pairs of shoes in inventory. Determine how to minimize the cost of meeting (on time) the demands of the next six months.
Answer:
5,000+6,000+7,000+,9,000+6,000+5,000= 38,000
Step-by-step explanation:
The minimum cost of meeting the demands of the next six months is $7475.00.
Here, we have,
To determine how to minimize the cost of meeting the demands of the next six months, we need to create a production and workforce plan that balances the demand for shoes with the available workforce and inventory.
Let's break down the problem into several steps:
Step 1: Calculate the regular production capacity and overtime capacity:
Regular production capacity: Number of regular working hours per month divided by the time it takes to produce a pair of shoes.
Overtime capacity: Number of overtime hours per month divided by the time it takes to produce a pair of shoes.
Given:
Regular working hours per month: 150 hours
Overtime hours per month: 40 hours
Time to produce a pair of shoes: 20 minutes (1/3 of an hour)
Regular production capacity = 150 hours / (1/3 hour) = 450 pairs per month
Overtime capacity = 40 hours / (1/3 hour) = 120 pairs per month
Step 2: Create a monthly production plan:
We will use the regular production capacity, overtime capacity, and inventory to fulfill the demand for each month.
Starting with the initial inventory of 500 pairs, we calculate the additional production needed for each month to meet the demand.
Month 1:
Demand: 5000 pairs
Additional production needed: 5000 - 500 = 4500 pairs
Month 2:
Demand: 6000 pairs
Additional production needed: 6000 - (500 + 4500) = 1000 pairs
Month 3:
Demand: 7000 pairs
Additional production needed: 7000 - (500 + 4500 + 1000) = 1000 pairs
Month 4:
Demand: 9000 pairs
Additional production needed: 9000 - (500 + 4500 + 1000 + 1000) = 2000 pairs
Month 5:
Demand: 6000 pairs
Additional production needed: 6000 - (500 + 4500 + 1000 + 1000 + 2000) = 0 pairs
Month 6:
Demand: 5000 pairs
Additional production needed: 5000 - (500 + 4500 + 1000 + 1000 + 2000) = 0 pairs
Step 3: Determine the hiring and firing decisions:
To minimize costs, we need to hire or fire workers based on the additional production needed for each month.
Based on the calculations from Step 2, we can identify the following hiring and firing decisions:
Month 1:
Additional production needed: 4500 pairs
Hire 5 workers (cost: 5 * $1000 = $5000)
Month 2:
Additional production needed: 1000 pairs
No hiring or firing needed (as the existing workforce can handle it)
Month 3:
Additional production needed: 1000 pairs
No hiring or firing needed
Month 4:
Additional production needed: 2000 pairs
No hiring or firing needed
Month 5:
Additional production needed: 0 pairs
No hiring or firing needed
Month 6:
Additional production needed: 0 pairs
No hiring or firing needed
Step 4: Calculate the costs:
Now, we can calculate the costs associated with hiring, firing, and production.
Hiring cost: $5000 (Month 1)
Firing cost: $0 (No firing needed)
Holding cost: 5% of the cost to produce a pair of shoes with regular-time labor, multiplied by the inventory at the beginning of each month.
Holding cost for Month 1: 0 (no inventory at the beginning of Month 1)
Holding cost for Month 2: 0.05 * ($2000 + 4500 * $10) = $237.50
Holding cost for Month 3: 0.05 * ($2000 + 5500 * $10) = $297.50
Holding cost for Month 4: 0.05 * ($2000 + 7500 * $10) = $475.00
Holding cost for Month 5: 0.05 * ($2000 + 7500 * $10) = $475.00
Holding cost for Month 6: 0.05 * ($2000 + 7500 * $10) = $475.00
Total cost:
Total cost = Hiring cost + Firing cost + Holding cost
= $5000 + $0 + ($237.50 + $297.50 + $475.00 + $475.00 + $475.00)
= $7475.00
Therefore, the minimum cost of meeting the demands of the next six months is $7475.00.
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What is the coefficient of the leading term in that binomial?
Please send me the graph of -x²-5x+6
Answer:
-\left(x-1\right)\left(x+6\right)
Step-by-step explanation:
-\left(x^2+5x-6\right)
Riders on a roller coaster must be at least 48 in tall my son is only 35 inches write an inequality to show how much can he grow to ride the roller coaster
Simplify 150-(0.4 x 150 + 15)
Answer:
−60x + 135
Step-by-step explanation:
Answer:
150 - (0.4×150+15)
= 150-75
= 75
A helicopter pad has a circumference of 47.5 yards. Find the approximate diameter of the helicopter pad. Use 3.14 for π.
The approximate diameter of the helicopter pad is 15.13 yards.
We can use the formula for a circle's circumference, C = πd , where C is the circumference, d is the diameter, and π is a constant equivalent to roughly 3.14, to determine the estimated diameter of the helicopter pad.We can use the method to solve for the diameter if we know the helicopter pad's circumference to be 47.5 yards. After rearranging the equation, we get d = C/π.Thus, using the provided values as a substitute, we obtain d = 47.5/3.14 = 15.13 yards. (rounded to two decimal places).As a result, the helicopter pad's estimated diameter is 15.13 yards.
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Used car auctions give car dealers an opportunity to increase their used car inventory by purchasing cars used as rental cars, assigned to company executives, and other similar activities. Suppose population 1 is all black cars sold at used car auctions, and population 2 is all white cars sold at used car auctions. Of interest is to estimate the difference in the mean sale price of all black cars sold at used car auctions and the mean sale price of all white cars sold at used car auctions. Based on this, using both the appropriate symbol and in words, state the one parameter of interest.
a. The parameter of interest is μ the difference in the mean sale price of all black cars sold at used car auctions and the mean sale price of all white cars sold at used car auctions.
b. The parameter of interest is μ1, the mean sale price of all black cars sold at used car auctions.
c. The parameter of interest is μ1-μ2, the difference in the mean sale price of all black cars sold at used car auctions and the mean sale price of all white cars sold at used car auctions.
d. The parameter of interest is μ2, the mean sale price of all white cars sold at used car auctions.
Answer:
c. The parameter of interest is μ1-μ2, the difference in the mean sale price of all black cars sold at used car auctions and the mean sale price of all white cars sold at used car auctions
Step-by-step explanation:
Of interest is to estimate the difference in the mean sale price of all black cars sold at used car auctions and the mean sale price of all white cars sold at used car auctions.
The parameter of interest is the difference. Suppose we have that [tex]\mu_1[/tex] is the mean sale price of all black cars sold at used car auctions, while [tex]\mu_2[/tex] is the the mean sale price of all white cars sold at used car auctions. Since the parameter of interest is the difference, it is [tex]\mu_1 - \mu_2[/tex], and the correct answer is given by option c.
Which sentence uses commas correctly?
A) Norah knows how to play the guitar piano and , drums . B) Janet Rick Brian and Lizzy went to the basketball game together .
C) We can ride our bikes , watch a movie , or go swimming at the lake .
D) Our teacher wants us to make a list of topics , brainstorm ideas , and choose one subject .
Answer:
C)
Step-by-step explanation:
It seperates and makes most sense
44 points
No links, No silly answers, only thought-out answers.
Simplify the expression.
16(12x)4
The simplified expression is______________.
Please answer with No links, No silly answers, only thought-out answers by 7:30, and it will increase the chance of me not reporting you and picking you as brain list
Answer:
I believe the answer is 64 x 12x
Step-by-step explanation:
16(12x)4 =
16 x 4(12x)
64 x 12x
Solve, using the substitution method. X + y = -11
2x - 3y = 3
A. (-6, -5)
B. (-10, -1)
C. (15, -4)
D. (6, 1)
Answer:
A. (-6,-5)
Step-by-step explanation:
A: Correct because -6+-5=-11------True
and 2(-6)-3(-5) is equal to -12-(-15) and a - plus a - equals a +
so our new equation is -12+15=3-----True
-Your welcome and I hope this helps you, please rate 5 stars =D
Maddie has $50. she worked for five days and she now has $270. what integer represents the average increase in value PER DAY
If two angles are complementary and one angle is 50º what is the measure of the other angle?
Answer: 40 degrees
Step-by-step explanation: Complementary angles always have a sum of 90 degrees. In order to find the other complementary angle take 90 and subtract 50 in order to get your missing value (value of the other angle).
I WILL MARK BRAINLIEST DO NOT GUESS OR GIVE ME A FULE IF YOU DO WILL REPORT THANK YOU
There are 20 kittens in a box. Some of them are black. If the probability of randomly picking a black kitten is how many black kittens are in the box?
(Photo above) Please help.
Answer:
12
Step-by-step explanation:
Im not exactly sure but I think you multiply to get the answer
What is the decimal equivalent of 2/3?
Answer:
0.66
Step-by-step explanation:
Answer:
i think 0.6
Step-by-step explanation:
i thank hope it helps
PLS help asap bt 1230 pt help thank you will brainliest
Answer:
85
Step-by-step explanation:
So you train of though might lead you to soemthing like this: it must be 90 degrees, since that looks like a 90 degree triangle, and there are 180 degrees in a line. So 90 degrees and 90 degrees make up the 180.
That is exactly what I though.
But, its a bit different from that. We do not know for sure that its a 90 degree traingle. Depending on the angle of the traingle, the outcome of the mystery number is different.
So, to find the angle of the trainge, lets take our 155 degree line.
Now, this is just a simple line. We know the line is 180, and that the other number must add onto 155 to make 180:
180-155=missing angle
=
25. So we know that the smallest angle of the traingle is 25.
We also know that a traingle has a total of 180 degrees.
We can add the 60 degrees and our new 25 degrees, subtract if from 180, and we will get our last angle of the traingle we need to solve:
60+25
=
85
Now subtract it from 180:
180-85
=
95
So that last angle of the traingle is 95.
Now, we need to solve the missing angle of the line that will give us the answer.
Again, we know the line has to be 180, so lets subtract 95 from that:
180-95
=
85
So we know that the missing angle answer is 85!
I hope this isnt too confusing and helps! :)