Answer:
see the attachment.
the answer is $ 32. 40/ Year
A bag contains 4 red marbles, 8 blue marbles and 5 green marbles. If three marbles are drawn out of the bag, what is the probability, to the nearest 1000th, that all three marbles drawn will be green?
Answer:
0.015
Step-by-step explanation:
We want to know that probability that we draw a green marble for the first AND the second AND the third draws. The act of drawing each marble changes the probabilities of the next draw, so we say that these events (drawing green marbles) are dependent. Mathematically, this means we'll be multiplying the probabilities of each event to get the probability of the whole thing. I'll denote the first, second and third green marble drawing events as A, B, and C.
For our first drawing, we have 5 possible green marbles to pick from out of 4 + 8 + 5 = 17 total marbles, so P(A), the probability of drawing a green marble, is 5/17.
Now, A, B, and C all represent the event of drawing a green marble, but the way they depend on one another is important here. If we want B to be our second draw, it'll depend on what happens in our first draw, A. We call this kind of probability conditional, and we write it as P(B | A), the conditional probability of event B after event A's occurred.
Here, event A is "drawing a green marble." What happens during event A? Well, we draw a green marble, so we have one fewer green marble, and one fewer marble altogether. Our chance of drawing a green marble after event A, P(B | A), is 4/16 or 1/4 then, since we now have 4 green marbles and 16 total marbles.
Using that same reasoning, P(C | B), the probability of event C (drawing a green marble) after event B has occurred, is 3/15, or 1/5, since we'll have 3 green marbles out of 15 total after drawing our second during event B.
Multiplying these all together, we have
Using trig to find a side
Solve for x. Round to the nearest tenth, if necessary.
Answer:
x = 117.8
Step-by-step explanation:
The tan value of an angle gives the ratio between the opposing side and the adjacent side of the angle.
Taking the tan value of the listed angle :
tan 50° = x/99
1.19 = x/99
x = 1.19 × 99
x = 117.8 (nearest tenth)
Diego wondered how far sixth-grade students could throw a ball. he decided to collect data to find out. he asked 10 friends to throw a ball as far as they could and measured the distance from the starting line to where the ball landed. the table shows the distances he recorded in feet.
40 76 40 63 47 57 49 55 50 53
find the median and iqr of the data set.
on a later day, he asked the same group of 10 friends to throw a ball again and collected another set of data. the median of the second data set is 49 feet, and the iqr is 6 feet.
did the 10 friends, as a group, perform better (or throw farther) in the second round compared to the first round? explain how you know.
were the distances in the second data set more variable or less variable compared to those in the first round? explain how you know.
The median of the number recorded in the question is 51.5 feet. This is obtained by dividing the sum of two numbers that occur centrally in half.
What is median?The central value in a list ordered from smallest to largest is the median of a set of values.
What is the Inter-quartile Range (IQR) of an observation?The formula for the Inter-quartile range is given as:
IQR = Q₃- Q₁ (that is Median of the Upper Half Less the Median of the lower half)
Step 1 - First, let's arrange the numbers sequentially
→ 40, 40, 47, 49, 50, 53, 55, 57, 63, 76
Step 2 - Determine the upper and lower halves and their median
If the Lower half is 40, 40, 47, 49, 50, then it's median is 47
If the Upper half is 53, 55, 57, 63, 76, then its median is 57.
Hence:
IQR = 57 - 47
= 10 feet.
Given that the median of the second data set is 49 feet, and the IQR is 6 feet. Did the 10 friends, as a group, perform better (or throw farther) in the second?No, the friends didn't perform better in the second round because the was a significant drop in the median and the IQR. The median dropped from 51.5 to 47 and the IQR from 10 to 6.
It can be concluded that the distance in the second set of data is less variable when juxtaposed with those form the first set.
Learn more about Median at:
https://brainly.com/question/26151333
#SPJ4
6% of a length is 390m what is the original length
The original Length is, 6500 m.
What is the Length?Length is the term used for identifying the size of an object or distance from one point to the other.
Given that 6% of a length is 390 m
Let original length be a
Therefore, 6% of a = 390
a*6/100 = 390
a = 390*100/6
a = 6500
Hence, The original Length is, 6500 m.
For more references on Length, click;
https://brainly.com/question/8552546
#SPJ2
100 POINTS SOMEONE PLEASE HELP
A fireman needs to get water to a second-floor fire. His ladder is 33 ft long and he leans it against the vertical wall so that the top of the ladder is 27 ft above the ground.
(a) Use trigonometry to find the angle formed between the ground and the ladder. Round to the nearest tenth of a degree and show all your work.
(b) For safety reasons, the fireman wants the angle the ladder makes with the ground to be no more than 50°. Will the ladder be safe the way it is positioned? Explain.
Answer:
Answer:
(a) 64°
(b) Yes, it is safe
Step-by-step explanation:
A fireman needs to get water to a second-floor fire. His ladder is 30 ft long and he leans it against the vertical wall so that the top of the ladder is 27 ft above the ground.
(a) Use trigonometry to find the angle formed between the ground and the ladder. Round to the nearest whole number and show all your work.
We solve the above question using the trigonometric function of Sine
sin θ = Opposite side/Hypotenuse sides
θ = Angle formed with the ground = ?
Opposite side = 27 ft
Hypotenuse side = 30 ft
Hence,
sin θ = 27 ft/30 ftsin θ = 9/10 = 0.9
θ = arc sin (0.9)
θ = 64.158067237°
Approximately to the nearest whole number = 64°
(b) For safety reasons, the fireman wants the angle the ladder makes with the ground to be no more than 70°.Will the ladder be safe the way it is positioned?
From the above calculation, the angle the ladder makes with the ground is 64° and now we want that angle to be 70°
Hence:
64° < 70°
Therefore, the ladder will be safe the way it is positioned.
Answer:
(a) 64°
(b) Yes, it is safe
Step-by-step explanation:
A fireman needs to get water to a second-floor fire. His ladder is 30 ft long and he leans it against the vertical wall so that the top of the ladder is 27 ft above the ground.
(a) Use trigonometry to find the angle formed between the ground and the ladder. Round to the nearest whole number and show all your work.
We solve the above question using the trigonometric function of Sine
sin θ = Opposite side/Hypotenuse sides
θ = Angle formed with the ground = ?
Opposite side = 27 ft
Hypotenuse side = 30 ft
Hence,
sin θ = 27 ft/30 ftsin θ = 9/10 = 0.9
θ = arc sin (0.9)
θ = 64.158067237°
Approximately to the nearest whole number = 64°
(b) For safety reasons, the fireman wants the angle the ladder makes with the ground to be no more than 70°.Will the ladder be safe the way it is positioned?
From the above calculation, the angle the ladder makes with the ground is 64° and now we want that angle to be 70°
Hence:
64° < 70°
Therefore, the ladder will be safe the way it is positioned
You flip a coin and you roll a standard 6 sided number die. What is the probability that your flip heads and roll a number less than 3?
Answer:
[tex]\frac{1}{6}[/tex]
Step-by-step explanation:
p(H and <3)= [tex]\frac{1}{2}[/tex]×[tex]\frac{2}{6}[/tex]
= [tex]\frac{1}{6}[/tex]
Complete the sequence.
1/2,3/5,5/8,7/11, ___ , ____
(will mark brainliest)
Answer:
1/2,3/5,5/8,7/11,9/14,11/17
Explanation:
Each time, the numerator of the fraction goes up by 2 and the denominator goes up by 3.
Answer:
9/14, 11/17
Step-by-step explanation:
The pattern observed is :
Numerator increases by 2Denominator increases by 3Hence, the next 2 terms are :
9/14, 11/17Which expression is equivalent to startfraction 4 f squared over 3 endfraction divided by startfraction 1 over 4 f endfraction? startfraction 16 f cubed over 3 endfraction startfraction f over 3 endfraction startfraction 3 over 16 f cubed endfraction startfraction 3 over f endfraction
The value of the quotient expression [tex]\frac{4f^2}{3} \div \frac{1}{4f}[/tex] is [tex]\frac{16f^3}{3}[/tex]
What is quotient?The quotient of numbers or expressions is the division of a number or expression by another
How to determine the equivalent expression?The expression is given as:
[tex]\frac{4f^2}{3} \div \frac{1}{4f}[/tex]
Rewrite as a product expression
[tex]\frac{4f^2}{3} \times \frac{4f}{1}[/tex]
Evaluate the product of 3 and 1
[tex]\frac{4f^2}{3} \times 4f[/tex]
Evaluate the product of 4f^2 and 4f
[tex]\frac{16f^3}{3}[/tex]
Hence, the value of the quotient expression [tex]\frac{4f^2}{3} \div \frac{1}{4f}[/tex] is [tex]\frac{16f^3}{3}[/tex]
Read more about quotient expressions at:
https://brainly.com/question/7068223
#SPJ4
Answer:
its A
Step-by-step explanation:
On edge its the first answer
A graph of f(x) = 6x2 + 7x – 3 is shown on the grid.
What are the zeros of f ?
Answer:
Option d
Step-by-step explanation:
The zeroes of given function can be obtained from graph when the graph intersects at x axis
area of a circle radius 12
Answer: 3.14 x 12^2 = 452.16
Talia gave her hairdresser a 20 percent tip, which amounted to $7.
Percents
Total
100%
What was the price of the service before the tip?
The price of the service before the tip will be equal to $35.
What is the percentage?
The Percentage is defined as representing any number with respect to the 100. It is denoted by the sign %.
Given that:-
Talia gave her hairdresser a 20 per cent tip, which amounted to $7The total price of the service will be calculated as:-
20% = $7
10% = 7/2
100% = 10 x 7/2
100% = $35
Therefore the price of the service before the tip will be equal to $35.
To know more about percentages follow
https://brainly.com/question/24304697
#SPJ1
Find the 14th term of the geometric sequence 2, 6, 18,
Answer:
52
Step-by-step explanation:
(Screenshot included need answer quick assignment due today) Select the graph that matches the equation y = 8
5
10
x + 9.
Answer:
C
Step-by-step explanation:
Since the y-intercept is 9 look at the graphs and see which one has the point (0,9) and its gonna be the answer
Solve the equation on the
interval [0, 2π).
5 cos x - √3 = 3 cos x
Answer:
[tex]\displaystyle x=\biggr\{\frac{\pi}{6},\frac{11\pi}{6}\biggr\}[/tex]
Step-by-step explanation:
[tex]\displaystyle 5\cos x-\sqrt{3}=3\cos x;\:0\leq x < 2\pi\\\\5-\frac{\sqrt{3}}{\cos x}=3\\ \\-\sqrt{3}\sec x=-2\\\\\sec x=\frac{2}{\sqrt{3}}\\\\\sec x=\frac{2\sqrt{3}}{3}\\ \\\cos x=\frac{3}{2\sqrt{3}}\\ \\\cos x=\frac{3\sqrt{3}}{6}\\ \\\cos x=\frac{\sqrt{3}}{2}\\\\x=\biggr\{\frac{\pi}{6},\frac{11\pi}{6}\biggr\}[/tex]
Which of the following equations is not a linear equation?
x + y = 4
B. 2x – y = 1
C. x 3=2
D. y = 4
Answer:
C
Step-by-step explanation:
A linear equation consists of Ax+By=C
That is the only one without that kinda format
Answer:
The Answer Is C
Step-by-step explanation:
Find the volume of the composite solid. Round your answer to the nearest hundredth.
3 cm
3 cm
10 cm
The volume is about cubic centimeters.
Answer: see my work
Step-by-step explanation:
volume is lwh
volume is 3*3*10
volume is 9*10
volume is cubic cm
volume is 90
volume is 90 cubic cm
Answer:
90cm^2
Step-by-step explanation:
3x3=9
9x10=90
Can someone help please
Answer:
The answer is 2 -option b
Answer:
B) 2
6²(6 × 6) = 36
can someone help me and solve the following equation showing work please?
thank you!
The angle made by an arc at the centre of the circle is double the angle made by the same arc at any point on the circle. The measure of the angle θ will be 45°.
What are an arc and subtended angle theorem?According to the arc and subtended angle theorem, The angle made by an arc at the centre of the circle is double the angle made by the same arc at any point on the circle.
The angle made by an arc at the centre of the circle is double the angle made by the same arc at any point on the circle. Therefore, the measure of the angle θ will be half the measure of the ∠P.
As it can be observed the measure of the angle ∠P is 90°, therefore, the measure of the angle θ can be written as,
∠P = 2 × ∠θ
90° = 2 × ∠θ
∠θ = 45°
Hence, the measure of the angle θ will be 45°.
Learn more about Arc and Subtended angle Theorem:
https://brainly.com/question/1364009
#SPJ1
Help this is due today-
[tex] \bold{ \underline{Solution }}[/tex]
[tex] \bold{ \underline{ \underline{Given}}}[/tex]
y = 9 feet
[tex] \bold{to \: find}[/tex]
Volume of cube
[tex] \bold {\underline{lets \: begin}}[/tex]
[tex]y \: = 9 \: feet \: [/tex]
Volume of cube= (S)³
[tex] \sqrt[3]{9} \: = \sqrt[3]{9 \times 9 \times 9} \\ \\ \sqrt[3]{9} = 729[/tex]
so,, 729 is our final answer
▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃
if a number is multiplied by itself 3 then the obtained number is called cube of given number. x × x × x = x³ Thursday cube of a number is that number raised to power 3.volume of cube is side cube.Hey there!
Your formula: a * a * a or you could simply say a^3
Your equation;
9^3
= 9 * 9 * 9
= 81 * 9
= 729
Therefore, your answer should be:
729
Good luck on your assignment & enjoy your day!
~Amphitrite1040:)
If the radius of the circle is 14 meters,find the length of arc RS
a)28.34m
b)64.32m
c)37.7m
d)9m
e)18m
Answer:
a) 28.34 m
Step-by-step explanation:
Finding ∠RQS :
180° - 64°116°Length of arc RS :
2πr × θ/3602 x 22/7 x 14 x 116/36044 x 2 x 29/9088 x 29/902552/9028.34 mHelp please
5x-2y=-10
Answer:
[tex]5x - 2y = - 10 \\ 5x = - 10 + 2y \\ x = \frac{ - 10 + 2y}{5} \\ \\ [/tex]
when y=0,-5,5,-10,10
then x=-2,-4,0,-6,2
Susie needs to cover her triangular garden with new top soil. Her garden has a base of 7 ft and a height of 10 ft. A bag of soil will cover 5 square feet. How many bags will she need?
Question 7 options:
70 bags of soil
35 bags of soil
12 bags of soil
7 bags of soil
If 1 bag of soil will covers 5 square feet, the number of bags of soil that will cover Susie's 35 square feet triangular garden is 7 bags.
Option D) is the correct answer.
How many bags will Susie need?Area of a triangle is expressed as half base multiply by height.
A = (1/2)base × height
Given that;
Base of the triangular garden = 7ftHeight = 10ftArea of the triangular garden A = ?A = (1/2)base × height
A = (1/2) × 7ft × 10ft
Area of the triangular garden A = 35ft²
Now, if 1 bag of soil covers 5 square feet. how many will cover 35 square feet?
1 bag covers 5ft²
x bags covers 35ft²
x = 35 / 5
x = 7 bags
Therefore, if 1 bag of soil will covers 5 square feet, the number of bags of soil that will cover Susie's 35 square feet triangular garden is 7 bags.
Option D) is the correct answer.
Learn about area of triangle here: https://brainly.com/question/27683633
#SPJ1
What is the area of the shaded region? (25π – 48) cm2 (25π – 30) cm2 (25π – 24) cm2 (25π – 12) cm2
The area of the shaded region or portion in the circle is (25π - 24) cm².
How to find the area of the shaded portion in the circle?The area of the shaded portion in the circle is found by subtracting the area of the two triangles from the area of the circle.
Therefore,
area of the circle = πr²
where
r = radiusarea of a triangle = 1/ 2 bh
where
b = baseh = heightTherefore,
r = 5 cm
area of circle = 5²π = 25π cm
area of one triangle = 1 / 2 × 6 × 4 = 12 cm²
The area of the two triangles = 2(12) = 24 cm²
Hence,
area of the shaded portion = (25π - 24) cm²
learn more on area here; https://brainly.com/question/3554165
#SPJ4
(3,7), (1,8)
find the distance between each pair of points
Answer:
[tex]\sqrt{241}[/tex]
Step-by-step explanation:
3+1=4
7+8=15
4^2=16
15^2=225
16+225=241
[tex]\sqrt{241}[/tex]
Jeriel has a bag that contains strawberry chews, lemon chews, and watermelon chews. He performs an experiment. Jeriel randomly removes a chew from the bag, records the result, and returns the chew to the bag. Jeriel performs the experiment 31 times. The results are shown below: A strawberry chew was selected 24 times. A lemon chew was selected 3 times. A watermelon chew was selected 4 times. Based on these results, express the probability that the next chew Jeriel removes from the bag will be a flavor other than lemon as a decimal to the nearest hundredth.
The probability that the next chew Jeriel removes from the bag is a flavor other than lemon will be 90.32%.
What is probability?Its simple notion is that something will most likely occur. The favorable event's proportion to the overall number of occurrences.
Jeriel has a bag that contains strawberry chews, lemon chews, and watermelon chews. He performs an experiment.
Jeriel randomly removes a chew from the bag, records the result, and returns the chew to the bag.
Jeriel performs the experiment 31 times.
The results are shown below:
A strawberry chew was selected 24 times.
A lemon chew was selected 3 times.
A watermelon chew was selected 4 times.
Based on these results, express the probability that the next chew Jeriel removes from the bag is a flavor other than lemon will be
P = 24/31 + 4/31
P = 28/31
P = 0.90322
P = 90.32%
More about the probability link is given below.
https://brainly.com/question/795909
#SPJ1
Complete the table by giving the length and area for each
width. (The width is the side perpendicular to the building.)
width (feet) length (feet)
area (square feet)
10
30
40
W
of the play area
The values of length are 100, 60, and 40 feet respectively, area of the rectangle 1000 square feet, 1800 square feet, and 1600 square feet respectively.
What is the area of the rectangle?It is defined as the area occupied by the rectangle in two-dimensional planner geometry.
The area of a rectangle can be calculated using the following formula:
Rectangle area = length x width
We know the perimeter of the rectangle = 2(w+l)
The sum of w+w+l = 120 (given)
2w + l = 120
From the above equation, we can calculate the l of the rectangle:
We have w = 10 feet
l = 100 feet
Area = 10×100 = 1000 square feet
When w = 30
l = 60 feet
Area = 60×30 = 1800 square feet
When w = 40
l = 40 feet
Area = 40×40 = 1600 square feet
Thus, the values of length are 100, 60, and 40 feet respectively, area of the rectangle 1000 square feet, 1800 square feet, and 1600 square feet respectively.
Learn more about the rectangle here:
https://brainly.com/question/15019502
#SPJ1
0.78 / 10^6
please someone answer I need this answer soon
Answer:
0.00000078 is the answer to the question
Four seventh-grade students won awards. In how many different ways could the students sit with a partner during awards ceremony?
The number of the different ways could the students sit with a partner during the awards ceremony will be 24.
What are permutation and combination?A permutation is an act of putting things or elements in the right sequence. Combinations are a method of picking things or pieces from a collection of objects or sets when the sequence of the objects is irrelevant.
Four seventh-grade students won awards.
Then the number of the different ways could the students sit with a partner during the awards ceremony will be
P = 4!
P = 4 x 3 x 2 x 1
P = 24
More about the permutation and the combination link is given below.
https://brainly.com/question/11732255
#SPJ1
answer these two questions asap!!
Answer:
Step-by-step explanation:
45 cm times 20 cm you find by by mutiply and divide
What is the best estimate of the area of the figure on the grid if each square has an area of 1 square inch?
O3 square inches
O 5 square inches
O 7 square inches
O9 square inches
Answer: 3 square inches
Step-by-step explanation:
See attached for how I broke the shape up. Since each square is equal to 1 square inch, and the shape is about 3 squares, the answer should be;
O 3 square inches
Please note that different people may estimate differently.
Learn more about estimating area from a grid here:
https://brainly.com/question/12178325