Answer:
4(ax + 3) -3ax = 25 + 3
4ax + 12 - 3ax = 25 + 3
4ax - 3ax + 12 = 28
1ax + 12 = 28
1ax = 28 - 12
ax = 16
a = 16/x
x = 16/a
Hey there!
4 (ax + 3) - 3ax = 25 + 3
4ax + 12 - 3ax = 28
4ax - 3ax = 28 - 12
ax = 16.
Solving for 'a'
ax = 16
a = 16/x
Solving for 'b'
ax = 16
x = 16/a
Hope it helps ya!
Suppose a manufacturer knows from previous data that 2.5% of one type of lightbulb are defective. The quality control inspector randomly selects bulbs until a defective one is found. Is this a binomial experiment? Why or why not?
Answer:
No, because the number of trials is not fixed.
Step-by-step explanation:
a. pe. x
Answer:B
Step-by-step explanation: khan - There is no fixed number of trials , so D is not a binomial variable.
Verify the identities by working down one side of the identity or the other, or both sides of the identity.
PLEASE HELP ME I NEED THIS TEST DONE QUICKLY!!!!!
Answer: Photo math will do it in 2.5 secon
ds
Step-by-step explanation:
Convert each percent into a fraction and decimal:
133 1/2%
87 1/3%
0.01%
8 1/3%
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Answer:
267/200 = 1.335131/150 = 0.8733...1/10,000 = 0.00011/12 = 0.0833...Step-by-step explanation:
It might be helpful to think of the % symbol as being interchangeable with /100.
133 1/2% = (133 1/2)/100 = 267/200 = 1.335
87 1/3% = (87 1/3)/100 = 262/300 = 131/150 = 0.8733333... (repeating 3)
0.01% = 0.01/100 = 1/10000 = 0.0001
8 1/3% = (8 1/3)/100 = 25/300 = 1/12 = 0.0833333... (repeating 3)
how many 3/5 are in 5
Answer: the answer is 1.6 or 0.6.
Answer:
8⅓
Step-by-step explanation:
divide 5 by (3/5). To divide by a fraction, flip the fraction and multiply. Make the 5 into a fraction by putting a '1' underneath:
(5/1)(5/3) = 5x5/1x3 = 25/3 = 8⅓
You can take 3/5 away from 5, 8⅓times
A 12 sided solid has equal-sized faces numbered 1 to 12 Find the the Probability number less than 5?
Suppose that the weights of 3200 registered female Great Danes in the United States are
distributed normally with a mean of 115 lb. and a standard deviation of 5.4 lb.
Approximately how many of the Great Danes weigh more than 125.8 lbs.? Round to the nearest
whole number.
Answer:
794
Step-by-step explanation:
125.8•5.5+115
679.3+115
794
I hope this helps you
Approximately 73 Great Danes weigh more than 125.8 lbs.
Mean [tex]\mu[/tex]=115 lb.
Standard deviation [tex]\sigma[/tex] =5.4 lb.
What is a z-score?Z-score depicts how much a given value differs from the standard deviation.
[tex]z=\frac{x-\mu}{\sigma}[/tex]
[tex]z=\frac{125.8-115}{5.4}[/tex]
[tex]z=2[/tex]
From the standard normal table P-value corresponding to z=2 i.e. P(x>125.8) = 0.02275
Total population =3200
3200*0.02275 = 72.8 ≈73
Thus, approximately 73 Great Danes weigh more than 125.8 lbs.
To get more about the z-score visit:
https://brainly.com/question/25638875
Who can help me with a math problem please
You open a bag of candy, and notice that inside the bag, it includes 12 snickers, 24 Kit Kat’s, 19 almond joy, and 18 Reese’s. How many candy is there total?
What is your chances you pull out a Kit Kat (without looking) on your first grab? (This is your fraction)
Answer:
73
Step-by-step explanation:
A check cashing service found that approximately 5% of all checks submitted to the service were fraudulent. After instituting a check-verification system to reduce its losses, the service found that only 45 checks out of a random sample of 1124 were fraudulent. Does this sample provide sufficient evidence at the .01 significance level that the check verification system is effective
Answer:
Pvalue of the test is 0.0618 > 0.01, which means that this sample does not provide sufficient evidence at the .01 significance level that the check verification system is effective.
Step-by-step explanation:
A check cashing service found that approximately 5% of all checks submitted to the service were fraudulent.
This means that the null hypothesis is:
[tex]H_{0}: p = 0.05[/tex]
Test if the check verification system is effective:
If it is effective, the proportion will decrease, so we are going to test if after the change the proportion is lower than 0.05, that is:
[tex]H_{a}: p < 0.05[/tex]
The test statistic is:
[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
In which X is the sample mean, [tex]\mu[/tex] is the value tested at the null hypothesis, [tex]\sigma[/tex] is the standard deviation and n is the size of the sample.
0.05 is tested at the null hypothesis:
This means that
[tex]\mu = 0.05[/tex]
[tex]\sigma = \sqrt{0.05*0.95}[/tex]
After instituting a check-verification system to reduce its losses, the service found that only 45 checks out of a random sample of 1124 were fraudulent.
This means that [tex]n = 1124, X = \frac{45}{1124} = 0.04[/tex]
Value of the test statistic:
[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
[tex]z = \frac{0.04 - 0.05}{\frac{\sqrt{0.05*0.95}}{\sqrt{1124}}}[/tex]
[tex]z = -1.54[/tex]
Pvalue of the test and decision:
Probability of finding a sample proportion lower than 0.04, which is the pvalue of z = -1.54.
Looking at the z-table, z = -1.54 has a pvalue of 0.0618.
Pvalue of the test is 0.0618 > 0.01, which means that this sample does not provide sufficient evidence at the .01 significance level that the check verification system is effective.
Skylar goes to a school which has 1000 students in it.She asks 40 random students whether they like the new 8.30 am start to the day. 30 of them say ‘no’ they do not like it. Use this information to estimate how many students in the whole school dislike the 8.30 am start
Answer:
Step-by-step explanation:
30 out of 40 could be used to estimate that 750 out of 1000 would say 'no'
30/40 equals 3/4
3/4 of 1000 is 750
A person invests $1,000 into stock of a company that hopes to go public in one year. The probability that the person will lose all his money after one year (i.e. his stock will be worthless) is 35%. The probability that the person’s stock will still have a value of $1,000 after one year (i.e. no profit and no loss) is 60%. The probability that the person’s stock will increase in value by $10,000 after one year (i.e. will be worth $11,000) is 5%. Find the expected profit after one year.
Answer:
The expected profit after one year is of $150.
Step-by-step explanation:
Probabilities after one year:
35% probability of losing $1,000, that is, 35% probability of a profit of -$1,000.
60% probability of still having a value of $1,000, that is, 60% probability of a profit of $0.
5% probability of a increase in value of $10,000, that is, a profit of $10,000.
Find the expected profit after one year.
Each value is multiplied by its probability. So
[tex]E = -0.35*1000 + 0.6*0 + 0.05*10000 = 150[/tex]
The expected profit after one year is of $150.
Of the numbers 2, 3, or 4, which is a solution of the inequality x - 1 > 2?
Answer:
4
Step-by-step explanation:
x-1 must be greater than 2.
2-1 is lesser than 2.
3-1 is equal to 2.
4-1 is greater than 2, so the answer is 4.
steps to solve:
-8+(sqrt(5a-5))=-3
Answer:
a = 6
Step-by-step explanation:
Given:
[tex]-8 + \sqrt{5a-5} = -3[/tex]
Assuming that the goal is to solve for a, we should aim to isolate a using a backwards process.
First step: add 8 to both sides, resulting in:
[tex]\sqrt{5a-5} = 5[/tex]
Second step: Next we need to square both sides, getting us:
[tex]5a - 5 = 25[/tex]
Third step: We now can add 5 to get an isolated monomial:
[tex]5a = 30[/tex]
Fourth Step: Finally, divide by 5 to get:
[tex]a = 6[/tex]
Blue Star is starting a new distribution service that delivers auto parts to the service departments of auto dealerships in the local area. Blue Star has found two light-duty trucks that would do the job well, so now it needs to pick one to perform this new service. The Ford TriVan costs $28,000 to buy and uses regular unleaded gasoline, with an average fuel efficiency of 24 miles per gallon. The TriVan has an operating cost of $.20 per mile. The Honda CityVan, a hybrid truck, costs $32,000 to buy and uses regular unleaded gasoline and battery power; it gets an average of 37 miles per gallon. The CityVan has an operating cost of $.22 per mile. The distance traveled annually is estimated to be 22,000 miles, with the life of either truck expected to be 8 years. The average gas price is $4.25 per gallon.
Required:
a. Based on life cycle cost, which model truck is the best choice?
b. How many miles does Blue Star need to put on a truck for the costs to be equal?
c. What is the crossover point in years?
Answer:
Blue Star
a. The Ford TriVan The Honda CityVan
Total life-cycle costs $94,368 $90,936
Based on life cycle cost, the Honda CityVan is the best choice.
b. Blue Star needs to put on the Ford TriVan 9,032 miles more for the cost to be equal with the Honda CityVan's.
c. The crossover point in years = 5 months
Step-by-step explanation:
a) Data and Calculations:
The Ford TriVan The Honda CityVan
Purchase costs $28,000 $32,000
Fuel efficiency per gallon 24 miles 37 miles
Operating cost per mile $0.20 $0.22
Total operating costs $4,400 $4,840
Estimated annual distance 22,000 miles 22,000 miles
Gallons of fuel consumed 916.7 (22,000/24) 594.6 (22,000/37)
Total cost of fuel $3,896 $2,527
Fuel cost per mile $0.18 $0.115
Total cost per mile $0.38 $0.335
Expected life of truck 8 years 8 years
Average gas price = $4.25 per gallon
Total costs:
The Ford TriVan The Honda CityVan
Annual costs:
Total operating costs $4,400 $4,840
Total cost of fuel $3,896 $2,527
Annual costs $8,296 $7,367
Life cycle costs:
Annual costs for 8 years $66,368 $58,936
Purchase costs $28,000 $32,000
Total life-cycle costs $94,368 $90,936
Difference in costs between Ford TriVan and Honda CityVan = $3,432 ($94,368 - $90,936)
Miles to put on the Ford TriVan for the life cycle cost to be equal to the life cycle cost of the Honda CityVan
= Difference in costs divided by total cost per mile of the Ford TriVan
= 9,032 miles ($3,432/$0.38)
Annual distance = 22,000 miles
Monthly distance = 1,833 miles
9,032/1,833 = 4.93 months or 5 months approximately
linear equation 2x + y = 3?
Answer:
Yes,Linear
Step-by-step explanation:
Find the degree of the equation to determine if linear.
1.Which is greater 2/4 or ¼?
2.Which is the least 3/6 or 3/7?
3.Which is greater 7/21 or ⅓ ?
HELPPPP PLEASE, IF YOU GIVE ME AN ANSWER GARBAGE I WILL REPORT YOU
THANK, :)
I need help with this no scam bot and link answers please
Answer:
x is not equal to 4
Step-by-step explanation:
all you have to do is subtract the 3 carry the 5 add the extra 20 and then minus 23
HELP ASAPP! WILL GIVE MOST BRAINILIST
Answer:
6/7 or 85.7%Step-by-step explanation:
As per table experimental probability of sum of two numbers > 5 is 6 out of 7.
So in number, the probability is:
p = 6/7 or 85.7%The sales tax rate is 5%. If Tucker buys a set of golf clubs priced at $245.00, what will be the total cost including tax?
5% of 245 is 12.25
245+12.25= 257.25
$257.25
plssss help its due in ten mins
Answer:
i dont know
Step-by-step explanation:
Help me plz thank you
Answer:
[tex]\text{Axis of symmetry: }x=-2\\\text{Vertex: }x=-2,\ y=10[/tex]
Step-by-step explanation:
[tex]y=-2x^2-8x+2\\\\\text{Solving }y=0:\\-2x^2-8x+2=0\\x=-2\pm\sqrt{5}\text{ (Using the quadratic formula)}\\\\\text{Finding mid-point (x-coordinate):}\\\frac{-2+\sqrt{5}-2-\sqrt{5}}{2}=-2\\\\\therefore\text{Vertex: }x=-2,\ y=10\\\text{Axis of symmetry: }x=-2[/tex]
Ethan planted a tree that was 1.85 meters tall. several years later, the tree is 5.30 meters tall. which equation can be used to find x, the number of meters the tree has grown?
Answer:
x+1.85 = 5.30
Step-by-step explanation:
[tex]5x-3x^{3}+1+6x^{2}[/tex]
Answer:
-32
Step-by-step explanation:
but I'm not that sure
An engineer is designing a new smartphone. The company wants to keep of the weight finished product below 12 ounces. After finishing his design, he realizes he forgot to include eight 1/6 oz screws. If the weight before adding the screws is 10 1/2 oz, will the design be within the desired weight limit? Explain.
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Answer:
yes
Step-by-step explanation:
10 1/2 + 8×(1/6) = (10 3/6) + (1 2/6) = 11 5/6 < 12
The weight with the added screws is still below 12 ounces.
Answer:
we have
10 1/2 + 8×(1/6) = (10 3/6) + (1 2/6) = 11 5/6 <12
The weight with the added screws is still below 12 ounces.
yes the design be within the desired weight limit
What is a obtuse angle?
Answer:
An obtuse angle has a measurement greater than 90 degrees but less than 180 degrees.
Step-by-step explanation:
2(2x-6) = 28 solve....
Answer:
Step-by-step explanation:
simplify
4x-12=28
4x=40
x=10
---------{NOTICE}----------
If you have any additional questions the best way to reach me is via discord
user: michaelsaltandpepper#0001
What is the statement for step 3?
A. LA congruent to PC
B. angle L congruent to angle P
C. CA congruent to CA
D. CL congruent to PC
Answer: moles gastronomy
Step-by-step explanation: oioiooi Baka
Answer:
4g
Step-by-step explanation:
There were 13 students in line at a drinking fountain. 8 of the students were girls and the rest were boys. What was the ratio of girls to boys in the line?
Please answer 9 and 11
Answer:
9. 3x+11+25=90 90-36=54 54/3=x x=18
11. 45+3x=180, 180-45=135, 3x=135, 135/3=45 x=45
Hwhhehehebehehehejensnsnsnsnsne
Answer:
djdmfkdkdjdj
Step-by-step explanation:
jfjffmfkdnfjdjdndkd
