Answer:
event A and B are independent because P(A and B) = P(A) x P(B) = 0.15
Step-by-step explanation:
When two events are independent, the probability of both occurring is the product of their separate probabilities, as expressed below;
P(A and B) = P(A) x P(B)
Given;
P(A) = 0.25
P(B) = 0.60
P(A and B) = 0.15
Now, let's check if P(A and B) will be equal to P(A) x P(B)
P(A) x P(B) = 0.25 x 0.60 = 0.15
P(A and B) = P(A) x P(B), thus event A and B are independent.
find the value of (27)^2/3
Answer:
9
Step-by-step explanation:
27 = 3³
27^⅔
3³^⅔
3^(3×2/3)
3²
9
Lilly found 40 seashells. She
put 10 seashells in each bucket. How many
buckets did Lilly use? Show your work.
--------- buckets
Answer:
4 buckets
Step-by-step explanation:
40 divided by 10 is 4
Answer:
4 bucket
Step-by-step explanation:
We can either use division or repeated subtraction in this case! Division is easier!
40/10 = 4
4 groups of 10 is what this looks like! (In this case, 4 buckets of 10 seashells)
The diagram shows a prism.
0.5 m
2 m
0.5 m
side elevation
2 m
2 m
front
side
front elevation
Draw the front elevation and the side elevation
of the prism on the grids.
Use a scale of 2 squares to 1 m.
Diagrams can be drawn using scale ratios, which can either represent enlargement or compression
The dimensions of the side elevation are given as:
0.5 m, 2 m and 0.5 m
The dimensions of the front elevation are given as:
2 m and 2 m
Using a scale of 2 squares to 1 m, the scaled dimensions become:
Side elevation: 1 square, 4 squares, 1 squareFront elevation: 4 squares and 4 squaresSee attachment for illustration of the scaled measurement
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The question is in the screenshot attached. Thank you!
Answer:
Domain: -4 < x < 4
Zeros: (-2, 0), (0, 0) and (2, 0)
The function is positive if: 0 < x < 2
The function is negative if: -4 < x < 0 and 2 < x < 4
Step-by-step explanation:
Domain of the function are those x values where the function is defined, For this case, -4 < x < 4
Zeros of a function are those x values where y = 0, that is, the graph intersect x-axis. For this case, the points are: (-2, 0), (0, 0) and (2, 0)
The function is positive if the graph o the function is above x-axis. For this case, the function is positive at the interval (0, 2)
The function is negative if the graph o the function is below x-axis. For this case, the function is negative at the intervals (-4, 0) and (2, 4)
help please now
The table below shows data from a random survey of juice preferences.
Types of Juice Number of People
Orange --------- 75
Apple --------- 110
Kale ---------- 65
Part A
Complete the probability model by listing the probabilities for each event based on the data recorded in the table.
S = { O, A, K}
Events ------------ Probabilities
Prefer orange ----- P(orange)= __ %
Prefer apple ------ P(apple)= __ %
Prefer kale -------- P(kale)= __ %
Part B
Based on the data, estimate how many of 400 juice drinkers will prefer apple juice.
The number of juice drinkers who prefer apple juice is __
Answer:
Part A
30
44
26
Part B
176
Step-by-step explanation:
Total: 65+110+75 = 250
P(O) = 75/250 × 100 = 30%
P(A) = 110/250 × 100 = 44%
P(K) = 65/250 × 100 = 26%
Apple juice:
44% of 400
44/100 × 400
176
I will mark brainliest but I am in a hurry
What is the solution to the equation x/6 =4/12?
x = 1
x = 2
x = 4
x = 6
Answer:
X=2
Step-by-step explanation:
12 divided by 6 is two, cut 4 in half it's 2
The length of a rectangle is 1 foot less than twice the width. If the area is 45 ft2, find the length and width.
Question 13 options:
A)
Width = 9∕2, length = 10
B)
Width = 4, length = 7
C)
Width = 9, length = 10
D)
Width = 5, length = 9
Answer:
i think a its closest to 45 and ft 2
Step-by-step explanation:
What is the value of x?
16
34
Domain: All real numbers
Domain: 3 > 0
Domain: X < 0
Range: All real numbers
Range: y > 0
Range: y < 0
Answer:
Domain: x >0
Range : y < 0
Step-by-step explanation:
What is the product of the polynomials below?
(3x^2 - 2x - 3)(5x^2 + 4x + 5)
Answer:
15x^4+2x^3-8x^2-22x-15
Step-by-step explanation:
Answer:
Your answer is
5x^4+2x^3-8x^2-22x-15
Step-by-step explanation:
I just simplified
What is this number in standard form?
(7×100)+(4×1100)+(8×11,000)
Answer:
Step-by-step explanation:
factor out 100
100[7 + (4 * 11) + (8 * 110)]
100[7 + 44 + 880]
100 (931)
= 93100
standard form is 9.31 * 10^4
The standard form for the number (7×100)+(4×1100)+(8×11,000) is, 9.31×10⁴
What is the standard form of a number?The standard form for a number is a method by which we write number in a format like b×10ˣ. The value of b should be in between 0 to 10.
Given Number,
⇒ (7×100)+(4×1100)+(8×11,000)
by taking 100 common from all the three terms,
⇒ 100[ 7+ (4×11) + (8×110) ]
⇒ 100[7+44+880]
⇒ 100×931
⇒ 9.31×10⁴
Hence, The number can be written as, 1.39×10⁴
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Help please. If I get the answer right you will get brainliest
Answer:
x [tex]\geq[/tex] -4
Step-by-step explanation:
-7x+13≥41
-13 -13
-7x ≥ 28
-7 -7
x ≥ -4
Evaluate (if possible) the six trigonometric functions of the real number t. (if an answer is underfunded, enter UNDEFINED)
T= 4 π/3
Sin t=
Cos t=
Tan t=
Csc t=
Sec t=
Cot t=
Answer:
Step-by-step explanation:
sin= - square root 3/2
cos= -1/2
tan= square root 3
csc= -2 square root 3/2
sec= -2
cot= square root3/4
Answer:
[tex]\sin\left(\frac{4\pi}{3}\right)=-\frac{\sqrt{3}}{2}\\\cos\left(\frac{4\pi}{3}\right)=-\frac{1}{2}\\\tan\left(\frac{4\pi}{3}\right)=\sqrt{3}\\\csc\left(\frac{4\pi}{3}\right)=-\frac{2\sqrt{3}}{3}\\\sec\left(\frac{4\pi}{3}\right)=-2\\\cot\left(\frac{4\pi}{3}\right)=\frac{\sqrt{3}}{3}[/tex]
We first find the corresponding angle of 4π/3.
[tex]\frac{4\pi}{3}-\pi=\frac{\pi}{3}[/tex]. And 4π/3 is in the third quadrant. There tan and cot are positive and rest are negative.
[tex]\sin\left(\frac{4\pi}{3}\right)=-\sin\left(\frac{\pi}{3}\right)=-\frac{\sqrt{3}}{2}\\\cos\left(\frac{4\pi}{3}\right)=-\cos\left(\frac{\pi}{3}\right)=-\frac{1}{2}\\\tan\left(\frac{4\pi}{3}\right)=\tan\left(\frac{\pi}{3}\right)=\sqrt{3}\\\csc\left(\frac{4\pi}{3}\right)=-\csc\left(\frac{\pi}{3}\right)=-\frac{2}{\sqrt{3}}=-\frac{2\sqrt{3}}{3}\\\sec\left(\frac{4\pi}{3}\right)=-\sec\left(\frac{\pi}{3}\right)=-2\\\cot\left(\frac{4\pi}{3}\right)=\cot\left(\frac{\pi}{3}\right)=\frac{1}{\sqrt{3}}=\frac{\sqrt{3}}{3}[/tex]
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Each spinner below is spun. Find the probability.
P(A and 2)
A. 4/15
C. 1/15
B. 1/17
D. 9/23
Answer: the answer is B1/17
Step-by-step explanation:
Write an equation for the nth term of the arithmetic sequence 56, 48, 40, 32, ....
An equation for the nth term of the arithmetic sequence is an
Answer:
an = 56-8(n-1)
Step-by-step explanation:
This is an arithmetic sequence
The common difference is 48 - 56 =-8
a1 = 56
an = a1+d(n-1)
an = 56-8(n-1)
The region of integration in the xy-plane for the given integral ∫∫R √(4xy) dy dx, where R is the region bounded by x = 0, x = -3, y = 0, and y = -9 - x^2, can be visualized as a triangular region in the first quadrant.
What is the geometric representation of the given integral?The given integral is a double integral of the function √(4xy) over a specific region in the xy-plane. To determine the region of integration, we consider the given bounds: x ranges from 0 to -3, and y ranges from 0 to -9 - x^2.
Starting with the x bounds, x = 0 represents the y-axis, while x = -3 represents a vertical line passing through the point (-3, 0). Thus, the region is bounded by the y-axis on the left and the vertical line x = -3 on the right.
Moving on to the y bounds, y = 0 represents the x-axis, while y = -9 - x^2 represents a downward-opening parabola with its vertex at the origin and its axis of symmetry parallel to the y-axis. Since y is negative, the parabola lies below the x-axis.
By combining the x and y bounds, we obtain a triangular region in the first quadrant. The triangle is formed by the x-axis, the line x = -3, and the curve y = -9 - x^2. This region of integration represents the area over which the function √(4xy) is being integrated.
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Consider a single spin of the spinner.
Which events are mutually exclusive? Choose all that apply.
a
landing on an unshaded sector and landing on a number less than 2
b
landing on a shaded sector and landing on a 3
c
landing on an unshaded portion and landing on an odd number
d
landing on a shaded sector and landing on an even number
e
landing on a shaded sector and landing on a number greater than 3
The question is incomplete
Find attached to the question, the appropriate diagram
Answer:
a) landing on an unshaded sector and landing on a number less than 2
b) landing on a shaded sector and landing on a 3
Step-by-step explanation:
Mutually exclusive events are two events that can occur separately on their own but they cannot occur together or at the same time.
The options given are explained below:
We have two shaded sectors: 1 and 4
We have two unshaded sectors : 2 and 3
a) landing on an unshaded sector and landing on a number less than 2
Looking at option a, we find out that it is possible for the spinners to land on an unshaded sector separately likewise on a number less than 2 but it cannot land on an unshaded sector AND and number less than 2 because looking at the spinner, the numbers on the unshaded sectors are 2 ( is equal to two) and 3 ( which is above 2).
Therefore this option is mutually exclusive and correct.
b) landing on a shaded sector and landing on a 3
It is possible to land on a shaded sector likewise it is possible to land on a 3 but it is not possible to land on a shaded sector and land on a 3 at the same time.
This is because, the number on the shaded sector is 1 and 4 and the number on the unshaded sector is 2 and 3, we have only one spinner so the spinner can only land on one sector at a time.
Therefore, Option b is a mutually exclusive event and it is a correct option.
c) landing on an unshaded portion and landing on an odd number
The unshaded portion on the spinner has number 2 and 3 on them, therefore it is possible to land on an unshaded portion and odd number which is 3 at the same time.
Option c is not a mutually inclusive event and it is wrong.
d) landing on a shaded sector and landing on an even number
The shaded sector on the spinner has number 1 and 4 on them, therefore it is possible to land on an shaded sector and even number which is 4 at the same time.
Option d is not a mutually inclusive event and it is wrong.
e)landing on a shaded sector and landing on a number greater than 3
The shaded sector on the spinner has number 1 and 4 on them, therefore it is possible to land on an shaded sector and a number greater than 3 which is 4 at the same time.
Option e is not a mutually inclusive event and it is wrong.
Therefore, option a and option b are mutually exclusive events and they are correct.
Answer:
a. landing on an unshaded sector and landing on a number less than 2
e landing on a shaded sector and landing on a number greater than 3
Step-by-step explanation:
Two events ; for example events A and B are said to be mutually exclusive , if they cannot both occur simultaneously.In set theoretical notation , we say that the two sets A and B are disjoint set.
i.e
A ∩ B = ∅
Pr (A ∩ B) = 0
The intersection of A and B is an empty set and as such there is no intersection.
From the given options; option a and e are correct because ;
a.
landing on an unshaded sector and landing on a number less than 2
Landing on an unshaded portion would 2 or 3.
Landing on a number less than 2 would be 1.
There is no intersection and as such these events are mutually exclusive.
e.
landing on a shaded sector and landing on a number greater than 3
Landing on a shaded portion would be 1 or 4.
Landing on a number greater than 3 would be just 4.
The intersection of both events will be an empty set (∅)
As such these events are not mutually exclusive.
Please help and explain. Thank you :)
Answer:
= 6^13
Step-by-step explanation:
6^3 • 6^10
= 6^3 • 6^10
= 6^(3 + 10)
= 6^13
Answer:D
Step-by-step explanation:
A. 6^3 * 6^10 = 6^13
It has the same base so you will make it stay the same and add the exponents.
The population of browns burg is 25000. In ten years, it is expected to grow by 8.5%. How many people will live there in ten years?
Which of the following questions describes the equation g + (-4) = -5?
What number, when subtracted from negative four, is equal to negative five?
What number, when added to negative five, is equal to negative four?
What number, when subtracted from negative five, is equal to negative four?
What number, when added to negative four, is equal to negative five?
Answer:
What number, when added to negative four is equal to negative five.
Step-by-step explanation:
Rearange the numbers to get -4+g=-5.
This eqation now reads -4 plus a number g is equal to -5, and can also be read as what number (g) added to -4 = -5.
If we were to solve for g we would get g= -1.
Hope this helps!
G=-1 so
What number, when added to negative four, is equal to negative five
A bag holds 10 blue marbles, 2 white marbles, and 8 red marbles. Without looking into the bag, William selects a marble and then returns it to the bag. If he selects 2 marbles in this way, what is the probability that both will be blue?
A.10%
B.25%
C.50%
D.75%
Answer: C
Step-by-step explanation:
Because 8 + 2 = 10 and that is half and blue is the other half so it’s 50%
Math question down below
How many triangles exist with the given angle measures?
Answer:
The answer would be one triangle. it is only one triangle because the sum of the angles of any triangle have to equal 180°. So if you add all of the angles you gave us, that would equal 180°.
I hope that was the answer you were looking for.
Step-by-step explanation:
Bobby has 3 hats, 5 shirts, 10 pairs of pants, and 6 pairs of shoes, how many different outfits does Bobby have?
Answer:
900
Step-by-step explanation:
3*5*10*6=900
Plz help plzzzzzzzzz
Answer:
47.13cm
Step-by-step explanation:
2×3.142×7.5cm
Answer:
47.13
Step-by-step explanation:
c=2πr
c=2×3.142×7.5cm
c=6.284×7.5cm
c=47.13cm
The population of Gilbert increased 275%. Which of the following are equivalent to 275%?
257
27 1\2
The 2 3/4 or 2.75 is equivalent to 275%.
What is Percentage?The percentage formula is used to calculate the amount or percentage of anything in terms of 100. Percentage indicates "per hundred" in its most basic form. The percentage formula is used to express a number between zero and one. It is a number that is expressed as a fraction of 100. It is represented by the sign% and is mostly used to compare and find ratios.
The population of Gilbert increased by 275%. The equivalent to 275% will be:
To express as fraction and decimal, we divide 275 by 100.
= 275/100
= 2 3/4
= 2 + 0.75
= 2.75
So, the equivalent fraction is 275% = 2 3/4 or 2.75.
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How many solutions does this system have?
2x+3y=-3
3x+6y=-9
one
two
an infinite number
no solution
Step-by-step explanation:
I think the answer is one
What is the probability of spinning blue on the image shown?
ITS ON THINK THRU MATH NEED HELP
Answer:
So for the first spinner, the probability of the arrow pointing to blue on a spin is 1/4, the probability of it pointing to green is 1/4 and so on. This assumes that each section is the same physical size.
Step-by-step explanation:
Answer:
Where is the picture
Step-by-step explanation:
What kind of sequence is this?
43, 86, 172, 344, ...
arithmetic
geometric
both
neither
Answer:
Geometric Sequence
Step-by-step explanation:
Hope this helps! Have a nice day!
Answer:
aa
Step-by-step explanation:
aa
Evaluate functions
х
h(x) = 17+
6
h(-18) =
Answer:-1.277778 i think
Step-by-step explanation:
i think this means h(x) = (17+6)÷x
in which case h(-18) = (17+6)÷(-18) = -1.2777778
would help if you put the question in standard format
please help mee! ill mark you brainliest! pleaseeee& thank qq!
Answer:172in
Step-by-step explanation:
Answer:
SA=172
Step-by-step explanation:
SA=2lw+2wh+2lh
=2(10)(2)+2(2)(5.5)+2(10)(5.5)
=172
