Answer:
0.25 hours
Step-by-step explanation:
The equation for a linear function is given by:
y = mx + b,
where y and x are variables, m is the rate of change of y with respect to x and b is the initial value of y (value of y when x = 0).
Let x represent the number of hours after 1:00 P.M and let y represent the temperature in degree Fahrenheit.
Let us assume that initial the temperature is 0°F. The temperature changes -4 degrees Fahrenheit per hour. From the equation of a linear function y = mx + b:
m = -4 degrees Fahrenheit per hour, b = 0. Hence:
y = -4x
The time taken to reach -1°F is gotten by substituting y = -1 and finding x:
y = -4x
substituting:
-1 = -4x
x = -1 / -4
x = 0.25 hours
0.25 hours = 0.25 hours * 60 minute / 1 hour = 15 minute
Therefore at 1:15 P.M, the temperature is -1°F
A production process is known to produce a particular item in such a way that 5 percent of these are defective. If two items are randomly selected as they come off the production line, what is the probability that both are defective (assuming that they are independent)
Answer:
0.0025 = 0.25% probability that both are defective
Step-by-step explanation:
For each item, there are only two possible outcomes. Either they are defective, or they are not. Items are independent of each other. So we use the binomial probability distribution to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
And p is the probability of X happening.
5 percent of these are defective.
This means that [tex]p = 0.05[/tex]
If two items are randomly selected as they come off the production line, what is the probability that both are defective
This is P(X = 2) when n = 2. So
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 2) = C_{2,2}.(0.05)^{2}.(0.95)^{0} = 0.0025[/tex]
0.0025 = 0.25% probability that both are defective
Sam earned $154 washing 7 cars. He earned the same amount for washing each car
Select all the equations that show reasonable estimates for the amount Sam eamed washing each car
A $140 = 7 = $20
B. $190 = 9 = $10
C. $160 = 8=320
D. $150 = 5= $10
E $150 = 3= $50
Answer:
the answer is A cause you divide 7 by 140 and the answer is 22 so 20 is the closest
5. Mai attempted 40 free throws and was successful 25% of them. How many free throws did
she make?
Answer:
10 were successful
Step-by-step explanation:
40x25%=10
Answer:
10
Step-by-step explanation:
40*.25 = 10
What are the angles sizes
If there are 52 successful outcomes in a sample with a size of 80, what is the
sample proportion?
A. 0.36
B. 0.72
C. 0.52
D. 0.65
Answer:
D. 0.65
Step-by-step explanation:
Do 52/80 to get the answer which is D.
I will give brainiest.
Answer:
the third one is the answer
Consider the sample space given below.
A die is a cube with six sides on which each side contains one to six dots. Suppose a blue die and a gray die are rolled together, and the numbers of dots that occur face up on each are recorded. The possible outcomes of the sample space S are listed as follows, where in each case the die on the left is blue and the one on the right is gray.
S= {11, 12, 13, 14, 15, 16, 21, 22, 23, 24, 25, 26, 31, 32, 33, 34, 35, 36, 41, 42, 43, 44, 45, 46, 51, 52, 53, 54, 55, 56, 61, 62, 63, 64, 65, 66}
Write the following event as a set.
The event that the numbers showing face up are the same.
E = ....................?
Compute the probability of E.
Answer:
1 / 6
Step-by-step explanation:
Probability is a measure of the likelihood of an event to occur. The probability for an event to occur is between 0 and 1.
The Probability of an event occurring is the ratio of the number of event in the sample space to the total number of possible outcomes.
The number of possible outcomes [n(S)] from rolling a blue die and a gray die is 36.
n(S) = 36
Let E be an event that the numbers showing face up are the same.
E = {11, 22, 33, 44, 55, 66}, n(E) = 6
The probability of E = P(E) = number event / number of possible outcomes =
P(E) = n(E) / n(S) = 6 / 36 = 1 / 6
A man borrowed $3500 from a bank for 6 months. The bank collected 7-1/2% simple interest on the date of maturity. How much did the man pay for use of the money and what was the amount he repaid the bank on the due date of the note
Answer:
$3762.50
Step-by-step explanation:
From the problem, we can see our initial loan is 3500. On the return date, the interest of the loan is collected 7.5%. To find out how much the man paid for the loan, we need to find out how much he paid in interest, which is the percentage of the interest converted to a decimal x the initial loan. We get $262.5, and then we need to pay back the interest plus the initial loan we borrowed from the bank, so we need to add those together to get:
$3762.50
f(x) = 4+9x, find f(-3)
Answer:
R3EWS.
Step-by-step explanation:
Raul used the steps shown below to solve the equation. In which step did Raul make a mistake?
5x-3(2x+7)=2x+9
Step 1: 5x-6x-21=2x+9
Step 2: -11x-21=2x+9
Step 3: -12x=30
Step 4: x=-30/12
A. Step 1
B. Step 2
C. Step 3
D. Step 4
Answer:The answer is B, step two
Step-by-step explanation:5x-6x equals to -1x
PLEASE HELP i have to turn this at the end of the day! PLEASE DONT GUESS! :)
Answer:
x = 13, z = 184
Step-by-step explanation:
(14x-94) = 88
14x = 182
x = 13
z = 360 - 88*2 = 360 - 176 = 184
Answer:
x = 13; z = 92
Step-by-step explanation:
88 = 14x - 94
14x = 182
x = 13
180 = z + 88
z = 92
In the first quadrant you start at (6, 10) and move 6 units right and 4 units down what point will you end up with
Answer:
(12,6)
Step-by-step explanation:
If you move 6 units right, you get to (12,10). Moving 4 units down takes you to (12,6).
The sum of the squares of two numbers is 26. The difference of the two
numbers is 4. Find the two numbers.
Answer:
i dont know the answer but good luck
Step-by-step explanation:
Nerissa has 5 pink bows 1 blue bow and 4 purple bows in a box. She will randomly choose 1 bow from the box. What is the probability Nerissa will choose a purple bow
A. 1/2
B. 2/5
C. 1/10
D. 3/5
I’ll mark brainliest
Answer: The probability is 2/5.
Step-by-step explanation: If there are 5 pink bows, 1 blue bow, and 4 purple bows, there are a total of 10 bows in the box. The probability of choosing a purple one is 4/10 (since there are 4 purple bows). 4/10 simplifies to 2/5.
The probability Nerissa will choose a purple bow is [tex]\frac{2}{5}[/tex].
Here Nerissa has 5 pink bows, 1 blue bow and 4 purple bows in a box.
She will randomly choose 1 box from the box.
What is Probability?
The ratio of the number of outcomes in an exhaustive set of equally likely outcomes that produce a given event to the total number of possible outcomes.
Now,
Total number of bows = 5 + 1 + 4 =10
Number of purple bow = 4
Probability to choose purple bow = [tex]\frac{Total number of purple bow}{Total number of bow }[/tex]
= [tex]\frac{4}{10}[/tex]
=[tex]\frac{2}{5}[/tex]
So, probability to choose purple bow is 2/5.
Learn more about the Probability visit:
https://brainly.in/question/51087124
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(4,9) (2,6) (0,3) y intercept please
Hi there!
Hope this helps!
What is the value of the 5 in 564,242?
Answer:
500,000
Step-by-step explanation:
the value of 5 in the number 56242 is 500,000 or hundred thousand. to know the value of digit 5 in the number 564242 go to five the digit 5 and write zeroes after it.
have a wonderful day
A statistics student has a mean score of 92 in the first 3 tests. Suppose there are a total of 4 tests and all of them have equal weight. You can also assume that there is no extra credit in the last test. What is the best possible final average this student can get
Answer:
The best possible final average this student can get is 94.
Step-by-step explanation:
The average score is given by the sum of the scores of all tests divided by the number of tests.
In this question:
First three tests: Mean score of 92, so total score of 92*3 = 276
Best possible score, with 4 tests:
In the first three, the total is 276. The best possible score is with a grade of 100 in the fourth test. The score will be:
[tex]M = \frac{276+100}{4} = \frac{376}{4} = 94[/tex]
The best possible final average this student can get is 94.
42 % of what number is .21
Answer:
0.5
Step-by-step explanation:
0.21=42%
0.21/42=1%
0.005=1%
0.005 x 100 = 100%
0.5=100%
0.5
Jabari owns 100 shares of Stock A and 45 shares of Stock B. For the past month, his stocks have been fluctuating inversely. Stock A decreased by m cents per share and Stock B increased by n cents per share. Which equation can be used to find the total change in value of Jabari's shares per month
Answer:
what hcomp10 said he is right
Step-by-step explanation:
Answer:
(100-m)+(45+n)
Step-by-step explanation:
100 -n and 45-m. You would have to add them together to get the amount of the shares.
Abe had some sweets.
He gave half of his sweets to Ben.
Ben gave one third of his sweets to Charlie.
Charlie gave one quarter of her sweets to Dawn.
Dawn gave one fifth of her sweets to Eddy.
Eddy received 6 sweets.
How many sweets did Abe have?
A student answered 42 problems on a test correctly and received a grade
of 70%. How many (total) problems were on the test, if all the problems
were worth the same number of points?
Answer:
Step-by-step explanation:
x is the number of questions on the test.
42/x = 70%
x = 42/70% = 42/0.70 = 60
Divide. Reduce the answer to lowest terms. 2/7 • 15/7
Y-21<85 help me pls
I don’t get this stuff lol
Answer:
it is y<106
Step-by-step explanation:
remember to add 85 and 21 together :)
Given f(x)= 5x®, what is the domain? O 5
Answer:
all real numbers (D)
the range is y>= 0 (option B)
Step-by-step explanation:
the question isn't really clear, but assuming that it's f(x)=5x^6, the domain (or at least edge says the domain) is all real numbers. Next is y is greater than or equal to 0
hope this helps and you have a very nice day !! :)
The Ice Chalet offers dozens of different beginning ice-skating classes. All of the class names are put into a bucket. The 5 P.M., Monday night, ages 8 to 12, beginning ice-skating class was picked. In that class were 64 girls and 16 boys. Suppose that we are interested in the true proportion of girls, ages 8 to 12, in all beginning ice-skating classes at the Ice Chalet. Assume that the children in the selected class are a random sample of the population.
Required:
Construct a 92% Confidence Interval for the true proportion of girls in the ages 8-12 beginning ice-skating classes at the Ice Chalet.
Answer:
The answer is "(0.73,0.87)".
Step-by-step explanation:
Given:
number of girls[tex]= 64[/tex]
number of boys[tex]= 16[/tex]
Total number of children[tex]= 64+16= 80[/tex]
So,[tex]n=80[/tex]
Calculating the value of the proportion which is given by girls:
[tex]\hat{p}= \frac{\text{number of girls}}{\text{total number of childrens}}[/tex]
[tex]=\frac{64}{80}\\\\=\frac{8}{10}\\\\= 0.8[/tex]
Therefore the confidence interval is:
[tex]\to \hat{p}\pm z_{(1-\frac{\alpha }{2})}\sqrt{\frac{\hat{p}(1-\hat{p})}{n}}\\\\\to 0.8 \pm 1.75\sqrt{\frac{0.8(1-0.8)}{80}}\\\\\to 0.8 \pm 1.75 \sqrt{\frac{0.8(0.2)}{80}}\\\\\to 0.8 \pm 1.75 \sqrt{\frac{0.16}{80}}\\\\\to 0.8 \pm 1.75 \sqrt{0.002}\\\\\to 0.8 \pm 1.75 (0.04)\\\\\to 0.8 \pm 0.07\\\\\to (0.73,0.87)[/tex]
[tex]\therefore \\\\\text{The lower confidence limit} = 0.73\\\\\text{The upper confidence limit} = 0.87\\[/tex]
How would I prove KM = HM?
Given that GJ is the perp bisector of HK
Answer: See step by step
Step-by-step explanation:
Since GJ is the perpendicular bisector of HK it bisects HK and make J the midpoint of HK. Since J is the midpoint we can construct a congruence statement of KJ≅JH. Then we know in the diagram Angle MJK= 90°, becuase it form a ⊥ line so it is 90° that also means MHJ forms a 90 ° angles becuase they also form a ⊥ line. So that means KJM≅HJM because of transitive property(a=b, b=c, then a=c). Both triangles also include side MJ, so using the reflexitive property( a=a),They are congruent. Since we proved they have a two congruent sides, with a included angle in between them we can use the SAS theorem (Side-Angle-Side) to prove they are congruent. So ΔKMJ≅ΔHMJ Then KM=HM by CPCTC.
Elizabeth raises chickens and sells the eggs to a local supermarket. The supermarket pays $0.85 for every dozen eggs. How much money could Elizabeth expect to earn in a week if her chickens lay, on average, 51 dozen eggs per week?
Answer:
On average, Elizabeth will earn $43.35 per week if her chickens lay 51 dozen per week.
Step-by-step explanation:
0.85x
x represents how many dozens
0.85(51) = 43.35
What is the slope for a linear function that includes the points (2, -1) and (1, 1).
A. 2.
B. -2
C. 1/2
D. -1/2
PLZ HELP HURRY
can someone solve this for me please, i really need help
Answer:
I sorted them by colors: red goes with red, blue with blue, purple with purple and brown with brown :))
Step-by-step explanation:
Given: 33 + 6p = 2(p-1) - 3p
Prove: p = -5
Answer:
Let us prove that p=-5
33+ 6p= 2p-2-3p33+6p= -1p-2 33+7p=-2 7p=-35 p=-533 + 6 x -5 = 2(-5 - 1) - 3 x -5
3 = 3
