5%
(Markup percent/100) × Cost price = Selling price - cost price
=> (Markup percent/100) × $14 = $21 - $14
=> (Markup percent/100) × $14 = $7
=> (Markup percent/100) = $7 / $14
=>
Answer:
5% is the markup
Step-by-step explanation:
thank me later
Name two acute angles
The distribution of passenger vehicle speeds traveling on a certain freeway in California is nearly normal with a mean of 73.7 miles/hour and a standard deviation of 4.72 miles/hour. The speed limit on this stretch of the freeway is 70 miles/hour.
(a) A highway patrol officer is hidden on the side of the freeway. What is the probability that 5 cars pass and none are speeding?
Assume that the speeds of the cars are independent of each other. (Round your answer to four decimal places.)
(b) On average, how many cars would the highway patrol officer expect to watch until the first car that is speeding?
(c) What is the standard deviation of the number of cars he would expect to watch?
Answer:
a) 0.2347, 0.0007
b) 1.30
c) 0.63
Step-by-step explanation:
Given –
Mean = 73.4
Sigma = 4.7
Probability that the speed is greater than 70 is
P (X>70) = P (z> (70-73.4)/4.7) = P (z>-0.72) = 0.7653
a) The probability that a car is not speeding = 1 - 0.7653 = 0.2347
The probability that all 5 cars are not speeding = (0.2347)5 = 0.0007
b) E (X) = 1/p = 1/0.7653 = 1.30
c) Standard deviation = Sqrt (1-p/p) = (1-0.7653)/0.7653 = 0.63
3. The number of sheets of paper available for making notebooks is 78,000. Each
sheet of paper makes 8 pages of a notebook. If each notebook contains 192
pages, find the number of notebooks that can be made from the paper available?
Answer:
3250
Step-by-step explanation:
Answer:
I believe the answer is 3,250
78,000 x 8 = 624,000
624,000 / 192 = 3,250
Find the length of x, round too the nearest tenth
Answer:
Step-by-step explanation:
take 72 degree as reference angle
using cos rule
cos 72=adjacent/hypotenuse
0.30=4/x
x=4/0.30
x=13.33
x=13.3
Which number line shows the solution set for |a|= 6
Answer:
O the first number line
Step-by-step explanation:
|a| = 6
|?| = absolute value
to find absolute value of a number, it must be a opposite number from the origina number
|a| = 6
|-6| = 6
6 = 6
Answer:
A)
Step-by-step explanation:
What is the value of f(-4)
Answer:
the correct answer is 10
Step-by-step explanation:
f(2)=
Please help I don’t got time ;-;
Answer:
b
Step-by-step explanation:
h
A manufacturer of compact-disk players subjects the equipment to a comprehensive testing process for all mechanical and electrical functions before the equipment leave the factory. Ideally, the hope is that each compact-disk player passes on the first test. Suppose that past data indicate that the probability that a compact-disk player passes the first test is 0.9. If 4 compact-disk players are randomly selected, determine the probability for Question a-f and round your answer to four decimal places.
Answer:
Incomplete question, but the binomial distribution with [tex]p = 0.9[/tex] and [tex]n = 4[/tex] is used to solve the questions.
Step-by-step explanation:
For each disk, there are only two possible outcomes. Either it passes the first test, or it does not. The probability of a disk passing the first test is independent of any other disk. This means that the binomial probability distribution is used 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.
Suppose that past data indicate that the probability that a compact-disk player passes the first test is 0.9.
This means that [tex]p = 0.9[/tex]
4 compact-disk players are randomly selected
This means that [tex]n = 4[/tex]
There are 20 families living in the Willbrook Farms Development. Of these families, 10 prepared their own federal income taxes for last year, 7 had their taxes prepared by a local professional, and the remaining 3 by H&R Block. a) What is the probability of selecting a family that prepared their own taxes? b) What is the probability of selecting two families, both of which prepared their own taxes?
Answer:
a) 1/2
b) 9/40
Step-by-step explanation:
Given
Total number of families living in Willbrook Farms Development = 20
Number of families preparing their own federal income taxes for last year = 10
Number of families for which taxes were prepared by a local professional = 7
Number of families for which taxes were prepared by H&R Block = 3
a) Probability of selecting a family that prepared their own taxes = 10/20 = 1/2
b) The probability of selecting two families, both of which prepared their own taxes
10/20 * 9/20 = 9/40
Find the difference.
(-3ab-a-3) - (6ab+1)
Answer:
-9ab-a-4
Step-by-step explanation:
(-3ab-a-3) - (6ab+1)
Distribute the minus sign
(-3ab-a-3) - 6ab-1
Combine like terms
-9ab-a-4
Answer:
[tex]-9ab-a-4[/tex]
Step-by-step explanation:
Hi there!
[tex](-3ab-a-3)-(6ab+1)[/tex]
Open up the parentheses
[tex]-3ab-a-3-6ab-1[/tex]
Combine like terms
[tex]-3ab-6ab-a-3-1\\-9ab-a-3-1\\-9ab-a-4[/tex]
I hope this helps!
Find the area of the figure it says. But I don’t know how? Can somebody explain.
Answer:
Area=120 cm
Step-by-step explanation:
I think for each separate figure you find the area and then add them up to find the total area. The formula to find the area here is length times width or base times height.
First figure: 12 times 5= 60 cm
Second figure=8 times 5=40cm
Together we have 100cm as our area, that might be wrong, look in the comments, thanks for correcting me :)
What is the nth term rule of the linear sequence below?
22
,
18
,
14
,
10
,
6
,
.
.
.
Answer:
tn=a+(n-1)d
tn=22+(n-1)4
tn=22+4n-4
tn=4n+18
Plane A is flying at 440 mph in the northeast direction relative to the Earth. Plane B is flying at 550 mph in the north direction relative to the Earth. What is the speed of Plane B as observed from Plane A?a. 532 mphb. 860 mphc. 362 mphd. 659 mphe. 669 mph
Answer:
The speed of plane B relative to plane A is 392.25 mph.
Step-by-step explanation:
Speed of plane A = 440 mph north east
speed of plane B = 550 mph north
speed of plane A = [tex]440(cos 45 \widehat{i} + sin 45 \widehat{j})=311.1 \widehat{i} + 311.1 \widehat{j}[/tex]
speed of plane B = [tex]550 \widehat{j}[/tex]
Speed of plane B with respect to plane A is
= speed of plane B - speed of plane A
[tex]=550 \widehat{j} - 311.1 \widehat{i} - 311.1 \widehat{j}\\\\=-311.1 \widehat{i} + 238.9 \widehat{j}\\\\= \sqrt{311.1^2 + 238.9^2 }\\\\=392.25 mph[/tex]
Order the numbers from least to greatest to least 4,-2,2,0,3
Answer:-2, 0, 2, 3, 4
Step-by-step explanation:
-2 is smaller than 0, 0 is smaller than 2, 2 is smaller than 3, and 3 is smaller than 4.
Answer:
4, 3, 2, 0, -2
Assuming the speed of sound is 340 m/s ..
Answer:
You did not finish the question. If you were to finish it, we might be able to help you.
Carlos downloaded a pattern from the Internet for making a table with an
irregular polygon-shaped top. The instructions on the pattern say that the
scale factor is 9/2. The sides of the pattern are shown on the diagram below.
What is the length of the longest side of the finished tabletop?
Answer:
it's b trust me i don't know how to explain my answer but it's b
Step-by-step explanation:
explanation
2/5 14.1/9 25/5 what is the improper fraction mixed number and common fraction
Answer:
A mixed number is a whole number plus a fractional part. An improper fraction is a fraction where the numerator (top number) is larger than the denominator (bottom number). You can convert between mixed numbers and improper fractions without changing the value of the figure.
Step-by-step explanation:
i did it before
Pat used unit cubes to build a right rectangular prism with a volume of 32 cubic units. The height of the prism is 4 units. What figure could be the bottom layer of the prism?
Answer:
It must be a rectangle with dimension of either 1 by 8 or 2 by 4
Step-by-step explanation:
V = l*w*h
32 = l*w*4
32/4 = l*w*4/4
8 = l*w
We could have 1*8
We could have 2*4
It must be a rectangle
It must be a rectangle with dimension of either 1 by 8 or 2 by 4
Help plz I don’t rlly know
Answer:
13 ft
Step-by-step explanation:
Perimeter is 48 so all four sides add to 48
You know width is 11 so 2x11 is 22.
Subtract the width from the total 48-22=26
Then because you are missing 2 sides divide the answer by 2.
26/2=13
Given AD|GJ. Refer to the figure and provide an appropriate name for
Check the picture below.
You want to buy a pair of shoes that usually cost $100. Today the store is
having a sale: 20% off everything.
You also have a coupon that
promises 10% off the price at the
register. How much do you save? *
Pls help and pls show how you got it! I am very confused.
Thank you
Answer:
You saved $30
Step-by-step explanation:
20% + 10% = 30%
30% = 0.30
$100 * 0.30 = $30
$100 - $30 = $70
Hope this is helpful
(3x+6)(4x-8)=0
Find for x
Answer:
2
Step-by-step explanation:
( 3x + 6 ) ( 4x - 8 ) = 0
( 3x + 6 ) = 0 / ( 4x - 8 )
3x + 6 = 0
3x = 6
x = 6 / 3
x = 2
What is filtration??
▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓
[tex]\pmb{\qquad{\qquad{\qquad{\underline{\green{\underline{\sf{Filtration}}}}}}}}[/tex]
Filtration is a physical or chemical separation process that separates solid matter and flu.id from a mixture using a filter medium that has a complex structure through which only the flu.id can pa.ss.
▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓
Will give brainliest to whoever answers first and correct
Answer:
A is f(t)=-(t-4)^2+50
B is 50. the top of the graph is at 50
C is at 4. that is the x value when y=50
If you need the graph put the answer from question A into Desmos
Which statement implies that A and B are independent events?
O A. P(B|A) = P(B N A)
O B.
P(BA) = P(B)
P(A)
O C.
P(B|A) = P(A)
OD.
P(BA) = P(B)
Answer:
[tex]P(A \cap B) = P(A)P(B)[/tex]
Step-by-step explanation:
Independent events:
If two events, A and B are independent, the probability of both A and B happening is the same as the probability of A happening multiplied by the probability of B happenings, that is:
[tex]P(A \cap B) = P(A)P(B)[/tex]
In this question:
The statement is [tex]P(A \cap B) = P(A)P(B)[/tex]
A long-term period of economic recession that leads to a low GDP and very high unemployment is a(n)
A. Trough
B. expansion
C. depression
D. Contraction
Answer:
The answer is C. Depression.
Step-by-step explanation:
Depression is defined as a severe and prolonged recession. Declining economic activity is characterized by falling output and employment levels. Generally, when an economy continues to suffer recession for two or more quarters, it is called depression.
The level of productivity in an economy falls significantly during a depression. Both the GDP (gross domestic product) and GNP (gross national product) show a negative growth along with greater business failures and unemployment. Depressions are relatively less frequent than milder recessions, and tend to be accompanied by high unemployment and low inflation.
A stack of cards consists of seven red and four blue cards. A second stack of cards consists of eleven red cards. A stack is selected at random and three of its cards are drawn. If all of them are red, what is the probability the rst stack was selected
Answer:
0.1733 = 17.33% probability the first stack was selected.
Step-by-step explanation:
To solve this question, it is needed to understand conditional probability, and the hypergeometric distribution.
Hypergeometric distribution:
The probability of x sucesses is given by the following formula:
[tex]P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}[/tex]
In which:
x is the number of sucesses.
N is the size of the population.
n is the size of the sample.
k is the total number of desired outcomes.
Combinations formula:
[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]
Conditional probability:
We use the conditional probability formula to solve this question. It is
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]
In which
P(B|A) is the probability of event B happening, given that A happened.
[tex]P(A \cap B)[/tex] is the probability of both A and B happening.
P(A) is the probability of A happening.
Probability of all red cards for the first stack:
For this, we use the hypergeometric distribution, as the cards all chosen without replacement.
7 + 4 = 11 cards, which means that [tex]N = 11[/tex].
7 red, which means that [tex]k = 7[/tex]
3 are chosen, which means that [tex]n = 3[/tex]
We want all red, so we find P(X = 3).
[tex]P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}[/tex]
[tex]P(X = 3) = h(3,11,3,7) = \frac{C_{7,3}*C_{4,0}}{C_{11,3}} = 0.2121[/tex]
Conditional probability:
Event A: All red
Event B: From the first stack.
Probability of all red cards:
0.2121 of 50%(first stack)
1 of 50%(second stack). So
[tex]P(A) = 0.2121*0.5 + 1*0.5 = 0.60605[/tex]
Probability of all red cards and from the first stack:
0.21 of 0.5. So
[tex]P(A \cap B) = 0.21*0.5 = 0.105[/tex]
What is the probability the first stack was selected?
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.105}{0.60605} = 0.1733[/tex]
0.1733 = 17.33% probability the first stack was selected.
PLEASEEEEEE I REALLY NEED HELPPPP WITH THIS PLEASEEEEEE IM BEGGING SOMONEEEE PLEASEEEE PLEASEEEE PLEASEEEEEE
Answer:
y > (1/2)x + 2
Step-by-step explanation:
The line rises 1 in y for each run of 2 in x
slope = rise/run
slope = 1/2
---------------------
The y-intercept is 2
-----------------------------
The graph is shaded above the dashed line
-----------------------------
Therefor
y > (1/2)x + 2
Answer:
y>1/2x+2
Step-by-step explanation:
The answer is y>1/2x+2. The shaded red part is the graph of y>1/2x+2. Because the slope is 1/2 and the y-intercept is 2, this is the correct answer.
If this helps please mark as brainliest
I need help ASAP please
Answer:
The perimeter is 35 units
Step-by-step explanation:
Given
The attached shape
Required
The perimeter of the shape
From the shape, we have:
[tex]AB = 11[/tex]
[tex]AD = 8[/tex]
[tex]BD = AD = 8[/tex] --- sides of an isosceles
Also:
[tex]BC = DC = BD = 8[/tex] --- sides of an equilateral
So, the perimeter (P) is:
[tex]P = AB + BC + DC + AD[/tex]
[tex]P = 11 + 8 + 8 + 8[/tex]
[tex]P = 35[/tex]
Properties of Isosceles triangles
2 sides are equal
2 angles are equal
Properties of equilateral triangles
All sides are equal
All angles are equal
5
Ginny is baking mince pies.
(a) A recipe says to use 3000 g of mincemeat for 100 pies.
How many grams of mincemeat will she need for 70 pies?
Answer:2100g
Step-by-step explanation:
We can use ratios to solve this:
100 pie : 3000g
1 pie : 30g
70 pie : 2100g