By counting the total number of outcomes, we conclude that the spinner has 4 sections.
How many sections does the spinner has?Let's say that the spinner has N sections.
If we spin it twice, for the first outcome we have N possible outcomes and for the second spin there are N possible outcomes.
Then for the experiment of spinning the spinner twice, the number of outcomes is:
O = N*N
And we know that the number of possible outcomes for spinning the spinner twice is 16, then we have:
16 = N*N = N^2
Solving for N, we have:
N = √16 = 4
Then we conclude that the spinner has 4 sections.
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Find the indicated conditional probability
using the following two-way table:
Grade
Drive to school Take the bus
Walk
Sophomore
2
25
3
Junior
13
20
2
Senior
25
5
5
P(Take the bus | Junior) = [?]
Round to the nearest hundredth.
Using it's concept, it is found that the desired probability is given by:
P(Take the bus | Junior) = 0.5714 = 57.14%.
What is a probability?A probability is given by the number of desired outcomes divided by the number of total outcomes.
In this problem, we have that out of the 13 + 20 + 2 = 35 Junior students, 20 take the bus, hence the probability is given by:
P(Take the bus | Junior) = 20/35 = 0.5714 = 57.14%.
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A stack of 30 science flashcards includes a review card for each of the following: 10 insects, 8 trees, 8 flowers, and 4 birds.
What is the probability of randomly selecting an insect?
Express the probability as a reduced fraction
Answer:
1/3
Step-by-step explanation:
[tex]|\Omega|=30\\|A|=10\\\\P(A)=\dfrac{10}{30}=\dfrac{1}{3}[/tex]
What is the equivalent to a dash?
Answer:
a dash is 1/8 tsp.
Step-by-step explanation:
a dash is 1/8 tsp or called 0.13
2x(x-5) -x (3 + 2x) = 26
help me pls
Answer:
x = -2
Step-by-step explanation:
[tex]2x(x-5)-x(3+2x) = 26\\2x^{2} -10x-3x-2x^{2} = 26\\-13x=26\\x=\frac{26}{-13} \\=-2[/tex]
Its basically the order of operations, from left to right , evaluate brackets (if possible), then multiplication or division, lastly followed by addition or subtraction.
2x2-10x-3x-2x2=26
Eliminam opusele
reducem termenii
-13x=26
imparte ambele parti
x=-2
Step-by-step explanation:
Given: ΔABC (to the right)
AB=15
BD=9
AD⊥BC
m∠C=30°
Find Perimeter of ABC
Applying the Pythagorean theorem and the trigonometric ratios, the perimeter of triangle ABC is: 68.8 units.
What is the Perimeter of a Triangle?The perimeter of a triangle = sum of its 3 sides.
Given the following:
AB = 15 BD = 9m∠C=30°Use the Pythagorean theorem to find AD considering triangle ADB as a right triangle:
AD = √(15² - 9²)
AD = 12 units
Use the trigonometric ratios to find DC and AC:
sin 30 = AD/AC
sin 30 = 12/AC
AC = 12/sin 30
AC = 24 units
tan 30 = AD/DC
tan 30 = 12/DC
DC = 12/tan 30
DC ≈ 20.8 units
BC = BD + DC = 9 + 20.8
BC = 29.8 units.
Perimeter of triangle ABC = BC + AB + AC
Perimeter of triangle ABC = 29.8 + 15 + 24
Perimeter of triangle ABC = 68.8 units.
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Bentley leans a 22-foot ladder against a wall so that it forms an angle of 74 degrees with the ground. How high up the wall does the ladder reach? Round your answer to the nearest hundredth of a foot if necessary
The Sine or Sin(θ) in a right angle triangle is the ratio of its perpendicular to its Hypotenuse. The Height on the wall till which the ladder reaches is 21.148 ft.
What is Sine (Sinθ)?The Sine or Sin(θ) in a right angle triangle is the ratio of its perpendicular to its Hypotenuse. it is given as,
Sin(θ) = Perpendicular/Hypotenuse
where,
θ is the angle,
Perpendicular is the side of the triangle opposite to the angle θ,
The hypotenuse is the longest side of the triangle.
The height of the wall can be found by using the trigonometry ratios, therefore, the height of the wall can be determined as,
Sin(74°) = (Height on the wall)/(Length of the wall)
Sin(74°) = (Height on the wall)/22 ft
(Height on the wall) = 21.148 ft
Hence, the Height on the wall till which the ladder reaches is 21.148 ft.
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Answer:
21.15
Step-by-step explanation:
please answer, much appreciated!!!!!
Answer:
i don't understand your question
Step-by-step explanation:
Satoranaing
19100
Points C, D, and G lie on plane X. Points E and F lie on
plane Y.
X
B
A
Y
Intro
E
D
G
F
Which statements are true? Select three options.
There are exactly two planes that contain points A,
B, and F.
There is exactly one plane that contains points E, F,
and B.
The line that can be drawn through points C and G
would lie in plane X.
The line that can be drawn through points E and F
would lie in plane Y.
The only points that can lie on plane Y are points E
and F.
Done
The statements that are true about the given points on the line are; Options B, C and D
How to identify points on a Plane?
A plane is defined by a line and a point outside of it. Meanwhile, a line is defined by two points. Thus, whenever we have 3 non-collinear points, we can define a plane.
Let us check each of the given options;
A) There are exactly two planes that contain points A, B, and F;
If these points are collinear, they can't make a plane and If they are not collinear, they define a plane.
Since we can't make two planes with them, then the statement is false.
B) There is exactly one plane that contains points E, F, and B;
Due to the same reasoning in part A, the statement is true assuming the points are not collinear.
C) The line that can be drawn through points C and G would lie in plane X;
The statement is true because both points C and G lie on plane X, and as such the line that connects them also should lie on the same plane.
D) The line that can be drawn through points E and F would lie in plane Y; Similar to above, this statement is true.
E) The only points that can lie on plane Y are points E and F.
This statement is false because infinite points can lie on a plane.
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help me pleaseeeeeeeeeeeeeee
Answer:
C
Step-by-step explanation:
Evaluating the options :
Option A
⇒ 5/2x + 7/2 = 3/4x + 14
⇒ 2.5x - 0.75x = 14 - 3.5
⇒ 1.75x = 10.5
⇒ x = 6
⇒ No ×
===========================================================
Option B
⇒ 5/4x - 9 = 3/2x - 12
⇒ 1.5x - 1.25x = -9 + 12
⇒ 0.25x = 3
⇒ x = 12
⇒ No ×
=========================================================
Option C
⇒ 5/4x - 2 = 3/2x - 4
⇒ 1.5x - 1.25x = -2 + 4
⇒ 0.25x = 2
⇒ x = 8
⇒ Yes √
C is the right answer.
On the first day of a song release, it had 20 million streams. If the number of streams increases by 10% per day, how many streams will there be on the seventh day
Answer:
35.4 million
Step-by-step explanation:
We assume the description "increases by 10% per day" means the base of the percentage is the previous day's number of streams. Then the sequence of streams on consecutive days is a geometric sequence with a first term of 20 million and a common ratio of (1 +10%) = 1.10.
__
streams on day nThe n-th term of a geometric sequence is ...
an = a1×r^(n-1) . . . . . where a1 is the first term, and r is the common ratio
The sequence of streams on consecutive days is then ...
an = 20×1.10^(n-1) . . . . millions of streams on day n
seventh dayFor n = 7, the number of streams is ...
a7 = 20×1.10^(7 -1) ≈ 35.4 . . . . million streams
There will be about 35.4 million streams on the seventh day.
Help please i need this
Answer:
i can't see the question i would love to help though
Step-by-step explanation:
a line contains the point (2,3) and has a slope of 1/2 What is the point-slope form of the equation for the line
The point-slope form of the equation for the line is y - 3 =1/2(x - 2)
Point-slope formFrom the question, we are to determine the point-slope form of the equation for the line
The point-slope form of the equation of a line is given by
y - y₁ = m(x - x₁)
Where (x₁, y₁) is a point on the line
and m is the slope of the line
From the given information,
Slope, m = 1/2
and we have the point (2,3)
∴ The point-slope form of the equation for the line is
y - 3 =1/2(x - 2)
Hence, the point-slope form of the equation for the line is y - 3 =1/2(x - 2)
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Ok, so I have a math assignment that is due on Monday (so in 2 days), but I don't understand it. Here are the instructions:
You buy a pair of jeans at a department store.
Jeans_____ $39.99
Discount___ -10.00
Subtotal____ 29.99
Sales Tax___ 31.94
I have the first two questions done for this question, and I just need help on the last one. Here it is:
The price of the jeans includes a 60% markup. After the discount, what is the percent of markup to the nearest percent?
The percent of markup is __%.
Can anyone please help me?
Thanks!
Which answer choice has the set of numbers
ordered correctly from least to greatest?
16
13, √, 1.71, 9
3
√. 12, 16, 1.71
4
3
16
1.71, 12, 1
9
O
16.1.71,√, 12
3
9
Answer:
0
3
3
3
8
9
12,161.71√
I think his is the best order
Solve 3x² + 4x = 2. (2 points)
O 2 ± √10
—————
6
O −2+2√10
——————-
3
O −2+√10
——————-
3
O
-4± √10
————
3
Answer:
Step-by-step explanation:
As it is a second order equation, it means that it has two possible answers and they are [tex]x_1[/tex] and [tex]x_2[/tex].
The famous quadratic formula for solving any second order equation is the following:
[tex]x_{1} = \frac{-b + \sqrt{b^2 - 4 ac}}{2a}\\x_{2}=\frac{-b - \sqrt{b^2 - 4 ac}}{2a}[/tex]
Where a is the coefficient of [tex]x^2[/tex], b is the coefficient of x, and c is the free term. In other words,
[tex]a = 3\\b=4\\c=-2[/tex]
as the equation should be in the following form:
[tex]a x^2 + bx+c = 0[/tex]
Therefore the possible answer should be the following,
[tex]\frac{-4 + \sqrt{4^2 - 4*3*(-2)}}{2*3}=\frac{-4 +\sqrt{16 + 24}}{6} =\frac{-4 + \sqrt{40}}{6}=\\ \frac{-4 + \sqrt{4*10}}{6} = \frac{-4 + 2\sqrt{10}}{6}[/tex][tex]\frac{2*(-2 + \sqrt{10})}{2*3} = \frac{-2 + \sqrt{10}}{3}[/tex]
by dividing the numerator and denominator by 2, we can deduce the following,
Use Pemdas to evaluate: 5c - 19, c=10
Anyone know the answer
Step-by-step explanation:
-2g(1+g)
-2g - 2g²
(-2)g - (2)g²
What is x in the figure?
im not sure I'd need to see the figure
Laura worked 8 hours today. She spent
the time in meetings, on the phone,
and the rest of the time on the computer.
Make a circle graph to show how Laura
spent her work day.
please answer thank you!
Answer:
1. Median:70, Range:12, IQR: 8
2. Median: 59, Range: 48, IQR: 31
Step-by-step explanation:
Hello, the answers I have are just approximations because I can not tell the specific number in between each mark.
The median is the middle vertical line of the box. The range is you maximum subtracted from your minimum. You can find these at the lines that extend out of the box. The interquartile range is the ends of the box subtracted from each other, meaning quartile 3 subtracted from quartile 1.
Hope this helps.
Use technology or a z-score table to answer the question.
The weights of boxes of rice produced at a factory are normally distributed with a
mean of 20 ounces and a standard deviation of 1.5 ounces. Consider a shipment of 1500 boxes of rice.
How many of the boxes will weigh 18 ounces or less?
138 boxes
154 boxes
632 boxes
781 boxes
The number of boxes will weigh 18 ounces or less will be 138. Then the correct option is A.
What is a normal distribution?The z-score is a statistical evaluation of a value's correlation to the mean of a collection of values, expressed in terms of standard deviation.
The z-score is given as
z = (x - μ) / σ
Where μ is the mean, σ is the standard deviation, and x is the sample.
The weights of boxes of rice produced at a factory are normally distributed with a mean of 20 ounces and a standard deviation of 1.5 ounces.
Consider a shipment of 1500 boxes of rice.
Then the number of the boxes will weigh 18 ounces or less will be
z = (18 - 20) / 1.5
z = -1.33
Then the probability will be
P(x ≤ 18) = P(z ≤ -1.33)
P(x ≤ 18) = 1 - P(z > -1.33)
P(x ≤ 18) = 1 - [1 - P(z < -1.33)]
P(x ≤ 18) = P(z < -1.33)
P(x ≤ 18) = 0.091211
Then the number of the boxes will weigh 18 ounces or less will be
⇒ 0.091211 x 1500
⇒ 136.8
approximately 138 boxes.
Then the correct option is A.
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−−→
A
B
=
(
x
y
)
What values should
x
and
y
take?
−−→
A
B
=
(
x
y
)
What values should
x
and
y
take?
Note: Each horizontal or vertical division represents one unit.
X=
Y=
Answer:
X=1 and Y=4
By counting eacht vetmrtical divided units
After arguing for two weeks, melissa convinced her parents to have her birthday party at flyzone trampoline park. as soon as she gets there, melissa spends time practicing flips on the trampolines. then, she spends 1/2 of an hour eating birthday cake with her friends. in all, melissa spends 1/4 hours at flyzone.
The amount of time that Nora practices flips is; t = 1 ¹/₄
How to Solve Algebra problems?We are told that;
Nora spends time practicing flips on the trampolines. Let this be t.
Then, she spends 1/2 of an hour eating birthday cake with her friends.
Thus, total amount of time spent on flips and eating with her friends is;
t + ¹/₂ = 1 ³/₄
t = 1 ³/₄ - ¹/₂
t = 1 ¹/₄
Complete Question is;
After arguing for two weeks, Nora convinced her parents to have her birthday party at FlyZone trampoline park. As soon as she gets there, Nora spends time practicing flips on the trampolines. Then, she spends 1/2 of an hour eating birthday cake with her friends. In all, Nora spends 1 3/4 hours at FlyZone. Which equation can you use to find the amount of time Nora practices flips?
Solve this equation for (t) to find the amount of time Nora practices flips
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Is LMN = OPQ? If so, name the congruence postulate that applies. N Given: LM = OP PQ = MN P M = 00 O A. Congruent - SAS O B. Congruent - SSS O C. Might not be congruent O D. Congruent - ASA
Based on the sides of LMN and OPQ, the congruence postulate that applies is B. Congruent - SSS.
When is the SSS rule used?It is used when the two triangles given have three equal corresponding sides which also have equal angles.
All three sides of LMN and OPQ are equal sides and have equal angles and so the SSS rule applies.
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I NEED HELP ASAPPPPPP
Its height (in feet) as a function of time (in seconds after the timer was started) is given by the equation h(t)=−(t−12)2+81
. Which of the following statements is true?
The airplane reaches its minimum height of 12 feet in 81 seconds.
The airplane reaches its maximum height of 81 feet in 12 seconds.
The airplane reaches its minimum height of 81 feet in 12 seconds.
The airplane reaches its maximum height of 12 feet in 81 seconds.
Considering the given quadratic equation, the correct statement is given by:
The airplane reaches its maximum height of 81 feet in 12 seconds.
What is the equation of a parabola given it’s vertex?The equation of a quadratic function, of vertex (h,k), is given by:
y = a(x - h)² + k
In which a is the leading coefficient.
In this problem, the equation is given by:
h(t) = -(t - 12)² - 81.
The vertex is (12,81), with a negative leading coefficient, hence it is a maximum point and the correct statement is given by:
The airplane reaches its maximum height of 81 feet in 12 seconds.
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Look at the photo and answer the question.
Please don’t just put the answer at the top of the text and don’t make it hard to find.
Answer:
second option
Step-by-step explanation:
5 newton pushing it to the right
while a mere 4 newton pushing it to the left
more force pushing towards right
Explain the difference between 2(7x-4) and (7x-4)^2
Answer:
2(7x-4) = 7x(2)-4(2) = 14x-8
but
(7x-4)^2 = (7x-4) (7x-4)
The perimeter of a rectangle is 50 inches. Its width
measures 11 inches. What is its length?
Let x = the length of the rectangle. Choose the equation that represents this
problem.
A. 2x + 22 = 50
B. 2x + 11 = 50
C. x + 11 = 50
D. 2x11 = 50 * don’t try and be funny I need help bad*
Answer:
50-20 or perimeter-2length
Step-by-step explanation:
15 inches is the width
Using complete sentences, describe how the variable h and the variable k of the general formula for a cube root function effects the graph. The general formula is y=a^3√ x-h+k
Using translation concepts, it is found that the variables h and k affect the graph of the function as follows:
The function is shifted h units to the right.The function is shift k units up.What is a translation?A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction in it's definition.
In this problem, we consider the parent cube root function as follows:
[tex]y = \sqrt[3]{x}[/tex]
Then, these following changes happened:
x -> x - h, which means that the function was shifted h units to the right.y -> y + k, which means that the function was shifted k units up.More can be learned about translation concepts at https://brainly.com/question/4521517
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PLS HELP QUICKLY
Which pair of functions are inverses of each other?
5
O A. f(x) = -2 and g(x) = +2
B. f(x) = 7x-2 and g(x) = 2
C. f(x) =x/5+ 6 and g(x) = 5x - y
D. f(x) = 3+ 6 and g(x) = 6x³
Answer: B
[tex]f(x) = 7x-2[/tex] and [tex]g(x) = \frac{x+2}{7}[/tex]
How to solve:
check if the composite functions of f(x) and g(x) are equal to x (this means they are inverses)
f[g(x)] = x
g[f(x)] = x
Step-by-step explanation:
Checking A.
[tex]f(x) = \frac{5}{x} -2[/tex]
[tex]g(x) = \frac{x+2}{5}[/tex]
[tex]f(g(x)) = f(\frac{x+2}{5} ) = \frac{5}{\frac{x+2}{5} } -2[/tex]
This does not equal x, so we know these are not inverses
Checking B.
[tex]f(x) = 7x-2[/tex]
[tex]g(x) = \frac{x+2}{7}[/tex]
[tex]f(g(x)) = f(\frac{x+2}{7} ) = 7(\frac{x+2}{7}) - 2 = x+2-2 = x[/tex]
[tex]g(f(x)) = g(7x-2) = \frac{7x-2 + 2}{7} = \frac{7x}{7} = x[/tex]
since both f(g(x)) = x and g(f(x)) = x, we can determine that they are inverses of each other.