In a local car lot, 1/6
of the cars have standard transmissions. Find the
probability that 3 of 4 randomly-selected cars have standard transmissions.
Answer: [tex]\dfrac{5}{324}[/tex]
Step-by-step explanation:
Given
Probability that car has a standard transmission is [tex]\frac{1}{6}[/tex]
So, the probability that the car does not have transmission is
[tex]1-\dfrac{1}{6}=\dfrac{5}{6}[/tex]
Probability of that 3 out of 4 randomly selected cars have standard transmissions is given by selecting 3 cars with standard deviation and then multiply by their respective probabilities
[tex]\Rightarrow P=^4C_3\cdot \left(\dfrac{1}{6}\right)^3\cdot \left(\dfrac{5}{6}\right)\\\\\Rightarrow P=4\times\dfrac{5}{6^4}\\\\\Rightarrow P=\dfrac{20}{1296}\\\\\Rightarrow P=\dfrac{5}{324}[/tex]
Given the passage, what determination can you make about the setting? How does the setting affect Jonathan’s behavior?
Answer: the area is affected by crime. He is protective of his money. Both right on edge
Step-by-step explanation:
Answer: a b
Step-by-step explanation:
*yawn*...............
Answer:
yawwwwwwnnn......,....done
A model rocket is launched with an initial upward velocity of 188 ft/s. The rocket's height h (in feet) after t seconds is given by the following.
h=188t-16t^2
Find all values of for which the rocket's height is 92 feet.
Round your answer(s) to the nearest hundredth.
(If there is more than one answer, use the "or" button.)
Answer:
0.51 and 11.24 seconds.
Step-by-step explanation:
The height h of a rocket with an initial upward velocity of 188 feet per second after t seconds is modeled by the function:
[tex]h(t)=188t-16t^2[/tex]
And we want to find all values of t for which the rocket's height is 92.
So, we can set h(t) = 92 and solve for t:
[tex]92=188t-16t^2[/tex]
We can divide everything by four:
[tex]23=47t-4t^2[/tex]
Rearrange the equation:
[tex]4t^2-47t+23=0[/tex]
We can use the quadratic formula:
[tex]\displaystyle x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}[/tex]
In this case, a = 4, b = -47, and c = 23. Substitute:
[tex]\displaystyle x=\frac{-(-47)\pm\sqrt{(-47)^2-4(4)(23)}}{2(4)}[/tex]
Evaluate:
[tex]\displaystyle x=\frac{47\pm\sqrt{1841}}{8}[/tex]
Hence, our two solutions are:
[tex]\displaystyle x=\frac{47+\sqrt{1841}}{8}\approx 11.24\text{ or } x=\frac{47-\sqrt{1841}}{8}\approx0.51[/tex]
So, the rocket reaches a height of 92 feet after 0.51 seconds and again after 11.24 seconds.
I=$26.24, P=$500, T=18 months the annual interest rate is
The eqution of the diagonal of a parallelogram is 3y=5x +k. The two opposite vertices of a parallelogram are the points (1,-2), (-2,1).Find the value of k
Answer:
[tex]k = 1[/tex]
Step-by-step explanation:
Given
[tex]3y = 5x + k[/tex]
Opposite points: [tex](1,-2)[/tex] and [tex](-2,1)[/tex]
Required
Find k
First, calculate the midpoint of the opposite points.
[tex](x,y) = 0.5(x_1 + x_2,y_1 + y_2)[/tex]
This gives:
[tex](x,y) = 0.5(1 -2,-2 + 1)[/tex]
[tex](x,y) = 0.5(-1,-1)[/tex]
Open bracket
[tex](x,y) = (-0.5,-0.5)[/tex]
The equation [tex]3y = 5x + k[/tex] becomes:
[tex]3 * -0.5 = 5 * -0.5 + k[/tex]
[tex]-1.5 = -2.5 + k[/tex]
Solve for k
[tex]k = 2.5-1.5[/tex]
[tex]k = 1[/tex]
find each missing measure given: m
Help ASAP
Answer:
28 degrees
Step-by-step explanation:
147 - 119 = 28
Answer:
Step-by-step explanation:
Since we already know that PQR is 147 degrees, we just need to subtract PQR to QR, and you will get, (147 - 119), PQ as 28 degrees!
What is the exact value of tan(300°)?
Answer:
The exact value of tan 300° is ⏩ - √3
Hope it will help :)❤
[tex]\frac{3}{4}\alpha-1\frac{1}{5}=2\frac{3}{4}[/tex]
It takes Jada 20 minutes to walk to school. It takes Andre 80% as long to walk to
school.
How long does it take Andre to walk to school?
Answer:
16
Step-by-step explanation:
9 - (12 + 3) + 8 x 2 using PEMDAS.
Helppppp!!!!
Answer: 10
Step-by-step explanation:
parenthesis first 9 - 15 + 8 x 2
multiply 8 x 2
you now have 9 - 15 + 16
subtract first because addition and subrtaction go in the order they're in the equation: 9 - 15 = -6
then add -6 + 16 = 10
If you place a 37-foot ladder against the top of a 15-foot building, how many feet will the bottom of the ladder be from the bottom of the building? Round to the nearest tenth of a foot.
Answer:
33.8
Step-by-step explanation:
a²+b²=c²
15²+b²=37²
225+b²=1369
-225 -225
b²=1144
√1144
b=33.8
The distance from the bottom of the ladder to the bottom of the building would be 33.8 foot.
What is Pythagoras' Theorem?If ABC is a triangle with AC as the hypotenuse and angle B with 90 degrees then we have:
|AC|^2 = |AB|^2 + |BC|^2
where |AB| = length of line segment AB. (AB and BC are rest of the two sides of that triangle ABC, AC being the hypotenuse).
If you place a 37-foot ladder against the top of a 15-foot building.
Let BC be the distance from the bottom of the ladder to the bottom of the building.
[tex]|AC|^2 = |AB|^2 + |BC|^2 \\15^2+BC^2=37^2\\225 + BC^2=1369\\BC^2 = 1369 - 225\\\\BC^2 = 1144\\\\BC = 33.8[/tex]
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Calculate the population
data set;
mean for the following
40, 50, 55, 78,58,60,73, 35, 43, 48.
Answer:
I think it’s 11.8
Step-by-step explanation:
Raj works in a bakery. He has 9 pounds of flour. He needs 14 ounces of flour to make one cake. How many cakes can Raj make? Use the
Answer:
3
Step-by-step explanation:
m
Which of the following choices are equivalent to the expression below? Check
all that apply. X^3/5
Answer:
[tex]\text{C. }(x^3)^{1/5},\\\text{F. }\sqrt[5]{x^3}[/tex]
Step-by-step explanation:
Exponent properties state [tex](a^b)^c=a^{(b\cdot c)[/tex]. Therefore, [tex]{x^{(\frac{3}{5})}=(x^3)^\frac{1}{5}[/tex].
Recall that [tex]a^{(\frac{b}{c})}=\sqrt[c]{a^b}[/tex]. Thus, [tex]x^{(\frac{3}{5})}=\sqrt[5]{a^3}[/tex].
The diameter of a circle is 12 cm. Find the circumference to the nearest tenth}to the nearest tenth.
Answer:
multiple by pie or 3.14........
Answer:
38 or 37.7 when not rounded
Step-by-step explanation:
The owners of a smoothie shop want the price of each size smoothie to be proportional to the amount of liquid it contains. A small smoothie will be 16 fluid ounces and sell for $3.52
Answer:
?
Step-by-step explanation:
Whats the question?
The proportionality constant if, A small smoothie will be 16 fluid ounces and sell for $3.52 is 22.
What is proportionality?When the corresponding elements of two numerical sequences, frequently experimental data, have a fixed ratio, this is referred to as the coefficient of proportionality, and the two sequences are said to be proportional or directly proportional.
Given:
A small smoothie will be 16 fluid ounces and sell for $3.52,
Convert the price of the smoothie in cents as shown below,
The price of a smoothie = 3.52 × 100 ($1 = 100 cents)
The price of a smoothie = 352 cents
Calculate the proportionality constant as shown below,
The proportional constant = Fluid / price
The proportional constant = 352 / 16
The proportional constant = 22
Thus, The proportional constant is 22.
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The complete question is: The owners of a smoothie shop want the price of each size smoothie to be proportional to the amount of liquid it contains. A small smoothie will be 16 fluid ounces and sell for $3.52. Find the proportionality constant.
30 in.
10 in.
10 in.
30 in
20 in
Find the area of the arrow above.
square inches
Answer:
1100 Inches Squared
Step-by-step explanation:
Let the triangle on the top right be - (i)
Let the triangle on the top left be - (ii)
Let the bottom rectangle be - (iii)
1) The base of the triangle (i) = 10 + (20/2) (It is the base of the rectangle halfed + the given amount of half base of the triangle)
=> 10 + 10
=> 20 in
Base = 20 in
Height = 30 in
Area = 1/2 * 20 * 30
=> 10 * 30
=> 300 in
Triangle (i) = (ii)
So, the area of triangle (ii)
=> 300 in
Area of rectangle,
Length * Breadth
=> 20 * 30
=> 500 in
Total arrow's area = 300 + 300 + 500 (i + ii + iii)
=> 1100
Therefore the total area of the shape = 1100 in squared.
Hope it helps :)
what ratio is the same as 2/3?
a ) 8 / 12
b) 6 / 12
c) 9 / 12
d) 10 / 12
Answer: a) 8/12
Step-by-step explanation:
Both numbers have to be the same for it to be equal: More info below.
The answer is a) because 8 divided by 2 is 4, and 12 divided by 3 is also 4.
It is not b) because 6 divided by 2 is 3, but 12 divided by 3 is 4.
Not c) because 9 divided by 2 is 4.5, and 12 divided by 3 is 4.
Not d) because 10 divided by 2 is 5, and 12 divided by 3 is 4.
Therefore, the answer is a) 8/12.
Hope this helps!
Unit 6 similar triangles homework 5
Answer:
1) x = 12
2) x = 23.1
3) x = 19
4) x = 16
5) x = 8
6) x = 17
Step-by-step explanation:
Comparing the sides of each triangle, we have;
1) [tex]\frac{32}{32 + x}[/tex] = [tex]\frac{24}{33}[/tex]
Cross multiply to get,
(32 + x) * 24 = 32 * 33
768 + 24x =1056
24x = 1056 - 768
24x = 288
x = 12
2) [tex]\frac{14}{34}[/tex] = [tex]\frac{x}{33 + x}[/tex]
cross multiply to have;
34x = 14 (33 + x)
34x = 462 + 14x
20x = 462
x = 23.1
3) [tex]\frac{20}{36}[/tex] = [tex]\frac{30}{x + 35}[/tex]
cross multiply to have;
36 * 30 = 20(x + 35)
1080 = 20x + 700
1080 - 700 = 20x
380 = 20x
x = 19
4) [tex]\frac{22.5}{42.5}[/tex] = [tex]\frac{2x - 5}{3x + 3}[/tex]
cross multiply to have;
42.5(2x - 5) = 22.5(3x + 3)
85x - 212.5 = 67.5x + 67.5
collect like terms
85x - 67.5x = 67.5 + 212.5
17.5x = 280
x = 16
5) [tex]\frac{2x + 4}{2x + 8}[/tex] = [tex]\frac{x + 7}{x + 10}[/tex]
cross multiply to have;
(2x + 8)(x + 7) = (2x + 4)(x + 10)
2[tex]x^{2}[/tex] + 14x + 8x + 56 = 2[tex]x^{2}[/tex] + 20x + 4x + 40
2[tex]x^{2}[/tex] + 22x + 56 = 2[tex]x^{2}[/tex] + 24x + 40
collect like terms to have;
22x - 24x = 40 - 56
-2x = -16
x = 8
6) [tex]\frac{28}{82}[/tex] = [tex]\frac{2x + 8}{7x + 4}[/tex]
cross multiply to have;
82(2x + 8) = 28(7x + 4)
164x + 656 = 196x + 112
164x - 196x = 112 - 656
-32x = -544
x = 17
The value of x in all the options can be determined by using the arithmetic operations. The calculations are given below.
1)
Given :
Two side lengths of a triangle are (x + 32) and 33.
According to the similar triangles property:
[tex]\dfrac{32+x}{32}=\dfrac{33}{24}[/tex]
SImplify the above expression in order to determine the value of 'x'.
768 + 24x = 1056
24x = 288
x = 12
2)
Given :
Two side lengths of a triangle are 34 and (x + 33).
According to the similar triangles property:
[tex]\dfrac{14}{34}=\dfrac{x}{33+x}[/tex]
SImplify the above expression in order to determine the value of 'x'.
34x = 462 + 14x
20x = 462
x = 23.1
3)
Given :
Two side lengths of a triangle are 36 and (x + 35).
According to the similar triangles property:
[tex]\dfrac{20}{36}=\dfrac{30}{35+x}[/tex]
SImplify the above expression in order to determine the value of 'x'.
1080 = 20x + 700
20x = 380
x = 19
4)
Given :
Two side lengths of a triangle are (3x + 3) and 42.5.
According to the similar triangles property:
[tex]\dfrac{22.5}{42.5}=\dfrac{2x-5}{3x+3}[/tex]
SImplify the above expression in order to determine the value of 'x'.
85x - 212.5 = 67.5x + 67.5
17.5x = 280
x = 16
5)
Given :
Two side lengths of a triangle are (2x + 8) and (x + 10).
According to the similar triangles property:
[tex]\dfrac{2x + 4}{2x+8}=\dfrac{x+7}{x+10}[/tex]
SImplify the above expression in order to determine the value of 'x'.
(2x + 8)(x + 7) = (2x + 4)(x + 10)
[tex]2x^2+22x+56=2x^2+24x+40[/tex]
16 = 2x
x = 8
6)
Given :
Two side lengths of a triangle are 82 and (7x + 4).
According to the similar triangles property:
[tex]\dfrac{28}{82}=\dfrac{2x+8}{7x+4}[/tex]
SImplify the above expression in order to determine the value of 'x'.
28(7x + 4) = (2x + 8)82
32x = 544
x = 17
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PLEASE HELP ASAP GIVING 100 POINTS
1. Finicus Jones is a wildlife researcher in South America. He has been studying green vine snakes and flatbread snakes. He randomly selected eight adults of each type of snake, measured them, and recorded their lengths in cm.
Green vine snake: {153, 172, 170, 172, 166, 174, 150, 153}
Flatbread snake: {144, 122, 150, 134, 144, 127, 142, 149}
(a) Create a line plot for each data set.
(b) Calculate the mean and MAD for each type of snake. (round to the nearest hundredth). Show your work.
(c) Calculate the means-to-MAD ratio for the two types of snakes. Show your work.
(d) What inference can be made about the length of both types of snakes? Explain
2. The manager at a new radio station wants to know what kind of music is popular in the area. She surveys people at random as they exit a supermarket between noon and 2 pm on a Monday.
(a) Is this sample biased or unbiased? Explain your reasoning in complete sentences.
(b) Suggest another method she could use to survey people in the area that would get an unbiased result.
Answer:
this is so easy like just put variables a in b
Step-by-step explanation:
hope you get it
The Question is what is the mean of the snakes lengths. The mean means you line all of your numbers up in order then you add all of the numbers up and when you get the total you divide the total plus the amount of numbers you have. So in this case the numbers would be: 8,17,22,39,44..next you would add all them up so it would be the next step would be to count the numbers up and divide that by the total...so it will be 5/130=26 so the mean for this question will be 26....hope it helps :)
Find the area and circumference of the circle. Round any answer to the nearest hundredth. Please include the unit of measure in your answer.
Answer:
A=326.85 in² , C=64.09 in
Step-by-step explanation:
Area of a circle= πr²
r=10.2 in
Plug into a calculator
A=π(10.2 in)² = 326.85129....≈326.85 in²
Circumference = 2πr
C=2π(10.2) = 64.08849...≈64.09 in
The surface area of a three-dimensional object is? This is a brainpop question, there is no picture, and tis a straight forward question
Answer:
What it is is basically when you take the area of every side of a three dimensional shape and then add it all together.
don't know if this is what you were looking for but I hope this helps.
PLEASE I NEED THE ANSWER IN THE NEXT MINUTE
Answer:
Step-by-step explanation:
A
Answer:
96
Step-by-step explanation:
:)
HELP MEEEEEEEE PLEASE
Answer:
B. 5/16
Step-by-step explanation:
Multiply each side by the reciprocal of 2/5 to solve for x
(2/5)(1/8)=x
2/16=x
Which graph represents a linear function?
Answer:
the 2nd
Step-by-step explanation:
linear just means line :)
I WILL CROWN YOU BRAINLYIST HELP
A truck delivers 14,000 pounds of gravel.
How many tons are in 14,000 pounds?
Answer:
7000
Step-by-step explanation:
Thus the truck delivers 7 tons of gravel.
What is a unit conversion?"A unit conversion expresses the same property as a different unit of measurement. A conversion factor is a ratio that expresses how many of one unit is equal to another unit".
For the above situation,
A truck delivers 14,000 pounds of gravel.
We know that,
1 US ton = 2000 pounds
Thus, 14000 pounds = [tex]\frac{14000}{2000}[/tex]
⇒ [tex]7 tons[/tex]
Hence we can conclude that the truck delivers 7 tons of gravel.
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I literally forgot how to do this plz help ASAP
Answer:
3/8
Step-by-step explanation:
3/10 ÷ 4/5
Copy dot flip
3/10 * 5/4
Rewriting
3 /4 * 5/10
3/4 *1/2
3/8
Answer:
B
Step-by-step explanation:
flip the 4/5 to 5/4 and multiple instead of divide to give you
= 3/10 x 5/4
Multiply denominators and numerators by each other (3 x 5 and 10 x 4) to give you
= 15/40
SImplify and your answer is
= 3/8
Kiera’s middle school is conducting a survey to determine the winter dance theme. Which of the following best describes a random sample?
1 point
A. All of the students in Mrs. Jackson’s class are surveyed
B. Fifty student’s names from each grade are drawn from a hat
C. Fifty randomly selected staff members are surveyed
D. Fifty randomly selected 7th graders are surveyed
The best description of a random sample for Kiera's middle school survey to determine the winter dance theme is option D: Fifty randomly selected 7th graders are surveyed.
What is random sampling?Random sampling is a technique for picking a sample from a population in such a manner that each possible sample has a preset probability of being chosen.
As per the question, the sample should be representative of the entire student population, so selecting fifty students from each grade (option B) or all the students in Mrs. Jackson's class (option A) may not be representative of the entire student population.
Similarly, selecting fifty randomly selected staff members (option C) may not be representative of the student population.
Therefore, option D is the best choice as it randomly selects students from the population of interest.
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There are 4 second-grade classrooms that share 15 packs of paper. How much paper should each classroom get
Answer:
3.75
Step-by-step explanation: