Answer:
rate of the current = 2 km/hr
Step-by-step explanation:
d = rt
Let c = rate of the current
Rate of boat downstream = 10 + c
Time going downstream = 24/(10 + c)
Rate of boat upstream = 10 - c
Time going upstream = 24/(10 - c)
Since the total time is 5 hr, then
24/(10 + c) + 24/(10 - c) = 5
24(10 - c) + 24(10 + c) = 5(10 + c)(10 - c)
240 - 24c + 240 + 24c = 500 - 5c^2
480 = 500 - 5c^2
5c^2 = 20
c^2 = 4
c = 2 or -2
Since a rate cannot be negative, the rate of the current = 2 km/hr
linear equation 2x + y = 3?
Answer:
Yes,Linear
Step-by-step explanation:
Find the degree of the equation to determine if linear.
plssss help its due in ten mins
Answer:
i dont know
Step-by-step explanation:
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.
9514 1404 393
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
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
y=x^2-6x+12
whats (x,y)
Answer:
(3,3)
Step-by-step explanation:
Convert each percent into a fraction and decimal:
133 1/2%
87 1/3%
0.01%
8 1/3%
9514 1404 393
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)
Find the range and interquartile range (IQR) of the data set in the box plot.
11,7, 24, 7, 16, 18, 27, 8, 13, 14, 24, 30
Answer:
Range = 23
IQR= 14.5
Step-by-step explanation:
Range is the biggest number- smallest number
so 30-7=23
IQR - Interquartile range = upper quartile - lower quartile
24-9.5=14.5
As inflation increases, it causes the money you earn today to have _____.
Answer:
Loses its value
Step-by-step explanation:
Inflation is the decrease in the purchasing power of a currency. That is, when the of prices rise, each person can buy fewer goods and services in aggregate.
Can anyone help me with this
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%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.
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.
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]
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:
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:
The distance between Daytona Beach and Tallahassee is about 143,000 m. How many kilometers is this?
Answer:
There are 212.89 miles from Tallahassee to Daytona Beach in southeast direction and 251 miles (403.95 kilometers) .
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
Find the area of an octagon with a radius of 11 units. Round your answer to the nearest hundredth. NO LINKS
Answer:
342.24 units²
Step-by-step explanation:
The area of one of the 8 triangular sections of the octagon is ...
A = (1/2)r²·sin(θ) . . . . . where θ is the central angle of the section
The area of the octagon is 8 times that, so is ...
A = 8·(1/2)·11²·sin(360°/8) = 242√2
A ≈ 342.24 units²
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:
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
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
hey there! So i been wanting to learn and observe peoples reactions, emotions, etc. Do you guys have any tips or any websites and such?
Answer:
Possibly tell someone some dramatic news or put them into a dramatic situation? I'm not quite sure but that's a way to get a reaction.
Step-by-step explanation:
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]
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?
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.
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:
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:
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
Log 64 = x. Find X
⁴
Answer:
3
Step-by-step explanation:
Rewrite the logarithmic notation to index notation.
4^x=64
Change 64 to index notation
ie 64 = 4^3
Since the base is the same(4) cancel them out
You remain with x = 3