Answer:
0.5440
Step-by-step explanation:
Given that ;
Brand 1 : Couple Brand 2: Sedan Total
100 200 300
240 85 325
Total : 340 285 625
The probability that a vehicle selected at random is a couple given that it was brand 1 will be;
The probability that a selected vehicle is a couple is 340/625
=0.5440
Maël mixes 151515 milliliters (\text{mL})(mL)left parenthesis, start text, m, L, end text, right parenthesis of bleach with 3.753.753, point, 75 liters (\text{L})(L)left parenthesis, start text, L, end text, right parenthesis of water to make a sanitizing solution for a daycare. The amounts of bleach and water always have to be proportional when he makes sanitizing solution.
Which of the following could be combinations of volumes of bleach and water for Maël's sanitizing solution?
The combination of volumes of bleach and water for Maël's sanitizing solution will be 12 mL of bleach and 3 L water, 6 mL of bleach and 1.5 L water, and 3 mL of bleach and 0.75 L water. Then the correct options are A, B, and C.
What is Algebra?Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.
The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.
Maël mixes 15 milliliters of bleach with 3.75 liters of water to make a sanitizing solution for a daycare.
The ratio of bleach to water is given below.
Bleach / Water = 15 / 3.75 = 4
Bleach / Water = 12 / 3 = 4
Bleach / Water = 6 / 1.5 = 4
Bleach / Water = 3 / 0.75 = 4
Bleach / Water = 20 / 5.5 = 3.6363
The combination of volumes of bleach and water for Maël's sanitizing solution will be 12 mL of bleach and 3 L water, 6 mL of bleach and 1.5 L water, and 3 mL of bleach and 0.75 L water. Then the correct options are A, B, and C.
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The complete questions are given below.
A line is perpendicular to
y = -x-9
What is the slope of this
perpendicular line?
A. -1/4
B. 1/4
a-4
D. 4
Note: your answer options suggest as if your actual question was
y = -4x - 9 instead of y = -x-9
But, anyways I am solving with respect to both equations
Answer:
Please check the explanation.
Step-by-step explanation:
IN CASE YOUR EQUATION ⇒ y = -x - 9
The slope-intercept form of the line equation
y = mx+b
where m is the slope and b is the y-intercept
Given the line
[tex]y = -x-9[/tex]
comparing with the slope-intercept form (y = mx+b) of the line
Therefore, slope of the line = m = -1We know that a line perpendicular to another line contains a slope that is the negative reciprocal of the slope of the other line, such as:
slope = m = -1
perpendicular slope = – 1/m = -1/-1 = 1
Thus the slope of this perpendicular line will be: 1
IN CASE YOUR EQUATION ⇒ y = -4x - 9
Given the line
[tex]y = -4x - 9[/tex]
comparing with the slope-intercept form (y = mx+b) of the line
Therefore, slope of the line = m = -4We know that a line perpendicular to another line contains a slope that is the negative reciprocal of the slope of the other line, such as:
slope = m = -4
perpendicular slope = – 1/4 = -1/-4 = 4
Thus the slope of this perpendicular line will be: 4
Andrea runs a fruit store. She started Sunday with 20 cherries in stock. During the day, she sold 17 cherries and got a shipment of fresh cherries. The shipment contained 4 times as many cherries as she started the day with. How many cherries does Andrea have in stock at the end off the day?
answer:
example
Answer:
Um.
Step-by-step explanation:
Could you give an example of what? Or no.?
just say something so that you can have my points :)
Answer:
thanks !!
Step-by-step explanation: have a wonderful day :)
Answer:
Thank you!!
Step-by-step explanation:
Have a great day:)
6a) Choose yes or no to tell whether the GCF of 9 and 15 is 3.
Yes
Or
No
Simplify.
12 + 15 : 3x6 - 4
Answer:
Step-by-step explanation:
Divide the numbers
12+153⋅6−412+153⋅x6−412+315⋅x6−412+56−412+5x6−4 12+5x6−4
Given the equation [tex]\sqrt[2]{x-5} = 2[/tex], solve for x and identify if it is an extraneous solution.
x = 6, solution is not extraneous
x = 6, solution is extraneous
x = 11, solution is not extraneous
x = 11, solution is extraneous
Answer:
x = 6, solution is not extraneous
Step-by-step explanation:
If you go and plug in 6 then the equation works well and there are no extraneous solutions.
Solve for x: 1/3 (x-22) = 4x
x = -2
x = 34
x = 2
x = -10
Answer:
x=-2
Step-by-step explanation:
What is the answer to this?
Answer:
65 reaminder 85
Step-by-step explanation:
u divided it and theres a big remainder so i did the two first reinders i found
A manufacturer of salad dressings uses machines to dispense liquid ingredients into bottles that move along a filling line. The machine that dispenses salad dressings is working properly when 8 ounces are dispensed. Suppose that the average amount dispensed in a particular sample of 35 bottles is 7.91 ounces with a variance of 0.03 ounces squared. Is there evidence that the machine should be stopped and production wait for repairs? The lost production from a shutdown is potentially so great that management feels that the level of significance in the analysis should be 99%.
Answer:
Step-by-step explanation:
From the given information:
The null hypothesis is:
[tex]H_o: \mu = 8[/tex]
The alternative hypothesis is:
[tex]H_1 : \mu \ne 8[/tex]
The sample size n = 35
Sample mean = 7.91
variance = 0.03
Standard deviation = [tex]\sqrt{0.03} = 0.173[/tex]
The t-test statistics is computed as:
[tex]t = \dfrac{\bar x - \mu}{\dfrac{s}{\sqrt{n}}}[/tex]
[tex]t = \dfrac{7.91 -8}{\dfrac{0.1732}{\sqrt{35}}}[/tex]
[tex]t = \dfrac{-0.09}{\dfrac{0.1732}{5.916}}[/tex]
t = - 3.0741
Degree of freedom:
df = n - 1
df = 35 - 1
df = 34
Level of significance = 1 - C.I
= 1 - 0.99
= 0.01
The t_{critical} value for the two-tailed test at 0.01 is within the rejection region:
[tex]t_{critical} = -2.728 \ and \ 2.728[/tex]
Decision rule: To reject [tex]H_o[/tex] if [tex]t< -2.728 \ or \ t > 2.728[/tex]
As [tex]t_{statistics}[/tex] fails the rejection region, we reject [tex]H_o[/tex]
Conclusion: There is sufficient evidence to believe that the machine will not dispense 8 ounces & and it must be stopped for repairs.
You can use hypothesis testing with t test to know if there is enough evidence that he machine should be stopped and production wait for repairs.
There is enough evidence that the machine should be stopped and production wait for repairs.
Given information about taken sample are:Sample mean [tex] \overline{x} = 7.91[/tex]Sample size n = 35Sample standard deviation [tex]s = \sqrt{variance} = \sqrt{0.03} = 0.1732[/tex]Confidence should be of 99%.Let the population mean be denoted by [tex]\mu[/tex]
Forming hypotheses:Null hypothesis: [tex]\mu = 8[/tex] (that is, machine needs no repair and working fine)
Alternate hypothesis: [tex]\mu \neq 8[/tex] (that is, machine is not dispensing right amount and need repairs)
Using t test:
[tex]t = \dfrac{\overline{x} - \mu}{\dfrac{s}{\sqrt{n}}}[/tex]
[tex]t = \dfrac{7.91- 8}{\dfrac{0.1732}{\sqrt{35}}} = -0.30821[/tex]
Degree of freedom = sample size - 1 = 34
Level of significance = [tex]\alpha = 1 -0.99 = 0.01[/tex]
From t tables we have:
[tex]t_{critical} = t_{0.01} = \pm 0.278[/tex] (two tailed test) (at 34 degree of freedom)
Since obtained value of t -0.30821 is less than the minimum value of range [tex](-0.278, 0.278)[/tex], thus lying outside the range and thus, we cannot accept the null hypothesis and end up accepting the alternate hypothesis.
Thus, there is enough evidence that the machine should be stopped and production wait for repairs.
Learn more about testing of hypothesis for single mean here:
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For which equations is 8 a solution? Select the four correct answers.
Answer:
x+2=10
x-4=4
3x=24
x/8=1
Step-by-step explanation:
Kaitlyn is sharpening a pencil that is 19 cm. Each time she sharpens it goes down 2.5 cm. If she sharpens her pencil 4 times. How many centimeters of pencil does she have left?
Answer:
9 cm
Step-by-step explanation:
2.5x4=10
A meteorologist predicted that there would be 1.0 inches of rainfall from a storm. Instead, there were 2.2 inches of rainfall. Which statements are true?
a
The prediction was off 35%
b
The percent error of the prediction was about 55%.
c
If the percent error should be less than 20%, the prediction was acceptable.
d
The difference between the predicted and the actual rainfall was 1.2 inches
Answer:
pls write the question clearly
Step-by-step explanation:
hxhdhdudjfjfjfjfjjfucjdjshshsshsh
The statements that is true: B. The percent error of the prediction was about 55%.
D. Difference between the predicted and actual rainfall was 1.2 inches.
What is the percentage error?Percentage error can be calculated using this formula;
Percentage error = Actual value observed - Expected value /Expected value
The Percentage error is;
= 2.2 - 1.0 / 2.2
Percentage error = 1.2 /2.2
Percentage error = 0.545 × 100
Percentage error = 55% (Approximately)
Since Difference between the predicted and actual rainfall;
Difference = Actual rainfall - Predicted rainfall
Difference = 2.2 -1.2
Difference = 1.2 inches.
Hence the correct statement is option B and D.
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Literally the last question pls get it right
trapped in a cell that contains 3 doors. The first door leads to a tunnel that returns her to back tothe cell after 2 days of travel. The second door leads to a tunnel that returns her back to the cell after 4days of travel. The third door leads her freedom after 1 day of travel. If it is assumed that Ally will alwaysselect doors 1, 2, and 3 with probabilities 0.5, 0.3, and 0.2 (respectively), what is the expected number ofdays until she reaches freedom
Answer:
The expected number of days until prisoner reaches freedom is 12 days
Step-by-step explanation:
From the given information:
Let X be the random variable that denotes the number of days until the prisoner reaches freedom.
We can evaluate E(X) by calculating the doors selected, If Y be the event that the prisoner selects a door, Then;
E(X) = E( E[X|Y] )
E(X) = E [X|Y =1 ] P{Y =1} + E [X|Y =2 ] P{Y =2} + E [X|Y =3 ] P{Y =3}
[tex]E(X) = (2 + E[X])\dfrac{1}{2}+ (4 + E[X])\dfrac{3}{10}+ 1 (\dfrac{2}{10})[/tex]
[tex]E(X) = (2 + E[X])0.5+ (4 + E[X])0.3+ 0.2[/tex]
Solving for E[X]; we get
E[X] = 12
The amount of change that goes up
Answer:
rates of change, positive or negative
Step-by-step explanation:
Which value is equivalent to the expression 45?
Answer:
what value are you talking about
Step-by-step explanation:
Answer:
It's 1024
Step-by-step explanation:
Plz help plz I’m begging I will give brainliest
Answer:
B is the answer.
Step-by-step explanation:
Answer:
The second one
Step-by-step explanation:
-2 and 1/4 is the same as -9/4 bec -9/4 is just in the improper form.
(can i get brainliest now)
Find – 8-(-3). -8-(-3) =
Answer:
-5.5
Step-by-step explanation:
Which function could be represented by the graph on the
coordinate plane?
Answer:
f(x)=(x-8)^2 -6
Step-by-step explanation:
Each of four test scores in Connie’s class is to be weighted equally. On the first three tests, Connie scored 80%, 90% and 95%. What percent must she score on her fourth test to have an overall average of exactly 90%?
Answer:
95%is the answer
Step-by-step explanation:
Answer:
95%
Step-by-step explanation:
We can use the balancing method to do this.. first what is the total below 90?
The total is 10% because 90-80 which was the only percentage below 90 is 10%. Then, what is the total above 90?
The total is 5% because the only percentage above 90 is 95 and 95-90 is 5%
Now we use the balancing method to get from 5-10.
Using the balancing method we get 95%
How would you write 0.7 repeated as a fraction
Answer:
7/9
Step-by-step explanation:
7/9 = 0.777777777777777777...
0.7 repeated can be written as a fraction [tex]\frac{7}{9}[/tex].
What are Fractions?Fractions are defined as a part or portion in a whole. There are two parts for a fraction, numerator which is the upper part and the denominator, which is the lower part.
Fractions are generally written in the form [tex]\frac{p}{q}[/tex], where p and q are real numbers. Here, the number p is called the numerator and the number q is called the denominator.
Fractions can be simplified as decimals.
We have to find the fraction representing the number 0.7 repeated.
0.7 repeated is actually the number 0.77777.....
The quotient of 5/8 = 0.625
The quotient of 6/7 = 0.857...
The quotient of 7/9 = 0.777.......
The quotient of 7/100 = 0.07
So, the quotient of 7/9 is the required number.
Hence the fraction which on simplification gives 0.7 repeated is 7/9.
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3/4 of girls in sss1 play basketball and 4/7 play volleyball. Every girl plays at least one of these games. if 27 play both games how many girls are in the class
Answer:
84
Step-by-step explanation:
1/4 of class don't play basketball but do play volleyball
so 9/28 of class play both since 4/7 - 1/4 = 9/28
9/28 of class = 27
1/28 of class = 3
class = 3*28
There are 84 girls in the class.
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
Girls who plays basketball = (3/4)x
Girls who plays volleyball = (4/7)x
Girls who plays both games = 27
Now, Let us consider total girls in the class = x
So we can write it as mathematical equation as;
⇒ (3/4)x +(4/7)x - 27 = x
By taking L.C.M. -
⇒ (21x+16x)/28 - (27) = x
⇒ 37x/28 = x + 27
⇒ 37x = 28x + (27×28)
⇒ 9x = 27×28
⇒ x = (27×28)/9
⇒ x = 3×28
⇒ x = 84
So, There are total 84 girls in the class.
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1929 concert tickets were sold for a total of $31,062. If students paid $13 and nonstudents paid $20, how many student tickets were sold?
Answer:
answer is attached in the figure below hope it helps please mark it as brainlist
If f(x)=|x−5|+2, find f(3)
Answer:
f(3) = 4
Step-by-step explanation:
The absolute value, |X|, is defined as the magnitude of a number without regard to its sign. For example, absolute value of 1 is 1 and absolute value of -1 is 1.
Thus, based on the function:
f(x)=|x−5|+2
f(3) = |3−5|+2
f(3) = |-2|+2
-Absolute value of -2 = 2-
f(3) = 2+2
f(3) = 4can anybody help me and explain how to calculate it?
Answer:
[tex]\frac{\pi }{4}[/tex]
Step-by-step explanation:
1. note, that
[tex]arcsin\frac{1}{2}=\frac{\pi}{6};arcsin\frac{\sqrt{2}}{2}=\frac{\pi}{4};arcsin1=\frac{\pi }{2};arcsin\frac{\sqrt{3}}{2}=\frac{\pi}{3}[/tex]
2. after the substitution:
[tex]\frac{\pi}{6}+\frac{\pi }{4}- \frac{\pi }{2} + \frac{\pi }{3}=\frac{\pi }{4}.[/tex]
Solve the system of equations y=x^2-3x+2
y=-9x-3
It was a bumper crop for hominy this year, and The Hominy Man hoped to set a price for a case that can maximize profit. The annual fixed cost for the hominy harvesting and other equipment is $200 and the variable cost per case is $20. The price (p) is related to demand (v) according to the following equation: v = 800 - 16p. To maximize the profit, the optimal price of a case should be_____. The maximized profit is_____.
Answer:
optimal price = $35
Maximum profit = $3400
Step-by-step explanation:
We are given;
The annual fixed cost for the hominy harvesting and other equipment = $200
The variable cost per case = $20
Since demand is given as v, thus total variable cost = 20v
Thus;
Overall total cost = fixed cost + total variable cost = 200 + 20v
We are given relationship between p and v as;
v = 800 - 16p
Making p the subject gives;
p = (800 - v)/16
Now, total revenue is given by;
Total Revenue = vp
Thus;
Total revenue = v[(800 - v)/16] = 50v - v²/16
Now, profit will be;
Profit(P) = Total revenue - total cost
P = (50v - v²/16) - (200 + 20v)
P = 50v - (v²/16) - 200 - 20v
P = 30v - (v²/16) - 200
Maximum profit will be at dP/dv = 0
Thus;
dP/dv = 30 - (v/8)
At dP/dv = 0
30 - (v/8) = 0
v/8 = 30
v = 30 × 8
v = 240
Optimal price will be gotten by putting 240 for v in the price equation which is p = (800 - v)/16.
Thus;
p = (800 - 240)/16
p = 560/16
p = $35
So, optimal price = $35
Maximum profit will be at v = 240.so let's plug in 240 for v into the profit equation.
Thus;
P = 30(240) - (240²/16) - 200
P = 3400
Maximum profit = $3400
Can someone help me please
Answer:
31.42 m
Step-by-step explanation:
circumference = (pi)d
circumference = 3.14159 * 10 m
circumference = 31.4159 m
Answer: 31.42 m
Answer: circumference =31.42m
Step-by-step explanation:
Your bill at the restaurant has total of 23.50. You received fantastic service from your server and would like to leave a 20% tip
Answer:
28.2
Step-by-step explanation:
Answer:
20% is 4.70
New total with tip = 28.20
Step-by-step explanation:
23.50 x .20
4.70