Module 10 Test
12) A spinner with 8 equal-size sections labeled as shown is spun 200 times. How many times
would you expect to spin a consonant? Explain your reasoning.
Answers
Answer: The expected number of spins of a consonant is 125.
Step-by-step explanation: The probability of spinning a consonant is 5/8. So out of 200 spins, we would expect to get a consonant 5/8 * 200 = 125 times.
150 times out of 200 spins.
Step-by-step explanation:
To find the expected number of times a consonant is spun, we need to first count the number of consonants on the spinner. From the image, we can see that there are 6 consonants on the spinner: B, C, D, F, G, and H.
Since all 8 sections of the spinner are equally likely to be spun, the probability of spinning a consonant is 6/8 or 3/4. This means that out of 200 spins, we would expect to spin a consonant 3/4 of the time.
To find the expected number of times a consonant is spun, we can multiply the probability of spinning a consonant by the total number of spins:
Expected number of times a consonant is spun = probability of spinning a consonant x total number of spins
Expected number of times a consonant is spun = (3/4) x 200
Expected number of times a consonant is spun = 150
Therefore, we would expect to spin a consonant 150 times out of 200 spins.
Related Questions
an oil tank, which is a shape of a cylinder, is 3m high and has a diameter of 6m. the oil tank is two-thirds full. find the number of cubic meters of oil in the tank. use 3.14 for pi
Answers
Answer:
Step-by-step explanation:
The key is to find out the entire volume the tank can hold when it is full, then take 2/3 of that amount. The volume of a cylinder is
\(V=\pi r^2h\) and filling in:
\(V=3.14(3)^2(3)\) (if the diameter is 6 m, the radius is 3) so
V = 84.78 m³ when it is full all the way. If we need the amount that makes up 2/3 of that:
\(\frac{2}{3}(84.78)=56.52m^3\)
Find the slope of every line that is parallel to
the line on the graph
Answers
The slope of the given line is
\(\frac{-1-0}{0-(-6)}=-\frac{1}{6}\)
Since all parallel lines have the same slope, the answer is -1/6
Which of the following is a unit fraction
A. 3/7
B. 2/1
C. 1/32
D. 4/5
Answers
Answer:
C
Step-by-step explanation:
Because a unit fraction is like 1/1 1/2 1/3 1/4 1/5
and all of those start with 1 so it is C. 1/32
Determine 6m 9m how much greater the area of the yellow rectangle is than the area of the gree rectangle 2m 5m
Answers
Step-by-step explanation:
multiple 6 by 9 then 2 by 5 then subtract them
Answer:
44
Step-by-step explanation:
(6*9) - (2*5)
54 - 10
44
The volume of a right cone is 168π units^3. If its diameter measures 12 units, find its height
Answers
Answer:
14 unitsStep-by-step explanation:
In the question, it is given that a right cone has a diameter of 12 units and volume of 168π units³ and we have to find the height of the cone.
\( \: \)
To Find the height of the cone, we must know this formula :
\(\\{\longrightarrow{ \qquad{\underline{\boxed {\pmb{\frak { \dfrac{1}{3} \: \pi r^2h ={ Volume_{(cone) }}}}}}}}} \\ \\\)
Where,
r refers to the radius of the cone. Here, the diameter is 12, Therefore the radius will be 6 units.h refers to the height of the cone.Now, we will substitute the values in the formula :
\(\\ {\longrightarrow{ \qquad{{ {\pmb{\sf { \dfrac{1}{3} \times \pi \times (6)^2 \times h = 168 \pi}}}}}}} \\ \\\)
Cancelling π from both sides we get :
\(\\ {\longrightarrow{ \qquad{{ {\pmb{\sf { \dfrac{1}{3} \times \cancel\pi \times 36 \times h = 168 \cancel\pi}}}}}}} \\ \\\)
\(\\ {\longrightarrow{ \qquad{{ {\pmb{\sf { \dfrac{1}{3} \ \times 36 \times h = 168 }}}}}}} \\ \\\)
\(\\ {\longrightarrow{ \qquad{{ {\pmb{\sf { \dfrac{36}{3} \times h = 168 }}}}}}} \\ \\\)
\(\\ {\longrightarrow{ \qquad{{ {\pmb{\sf { 12 \times h = 168 }}}}}}} \\ \\\)
\(\\ {\longrightarrow{ \qquad{{ {\pmb{\sf { h = \frac{168}{12} }}}}}}} \\ \\\)
\(\\{\longrightarrow{ \qquad{\underline{\boxed {\pmb{\frak { h ={14 }}}}}}}} \\ \\\)
Therefore,
The height of the cone is 14 units .What is true about the image ΔQ'R'S'? Select three options.
Which statements are true?
DO,2 (x,y) = (2x, 2y)
Side Q'S' lies on a line with a slope of -1.
QR is longer than Q'R'.
The vertices of the image are closer to the origin than those of the pre-image.
The distance from Q' to the origin is twice the distance from Q to the origin.
Answers
Answer:
\(D_{O,2} (x,y) = (2x, 2y)\)
Side Q'S' lies on a line with a slope of -1.
The distance from Q' to the origin is twice the distance from Q to the origin.
Step-by-step explanation:
The explanations are as follows
As we can see from the attached figure that the ΔQ'R'S' is dilated i.e transformation is made or change in size
Now
Based on
(x,y) = (2x,2y)
The intercepts are as follows
For S
(-1,1) = (-2,2)
For Q
(-3,3) = (-6,6)
For S
(2,4) = (4,8)
Based on this we can say that the three above options are correct
Answer:
A, B, E on edge
Step-by-step explanation:
took the test :)
Find the path of a heat-seeking particle placed at point P on a metal plate with a temperature field T(x,y). Temperature Field: T(x,y)= 100 - x^(2) - 2y^(2).
Answers
As a result, the following parametric equations describe the motion of the heat-seeking particle: x = a - 2t and y = b - 4t
As per the question given,
To find the path of a heat-seeking particle placed at point P on a metal plate with a temperature field T(x,y) = 100 - x^(2) - 2y^(2), we need to use the gradient vector of T(x,y).
The gradient of T(x,y) is given by:
∇T(x,y) = (-2x, -4y)
The heat-seeking particle moves in the direction of maximum increase of temperature, so it moves in the direction of the gradient vector, that is, (-2x, -4y).
To find the path of the particle, we need to integrate the gradient vector starting at point P = (a,b), where a and b are the coordinates of the point on the metal plate where the particle is placed.
So the path of the heat-seeking particle is given by the following parametric equations:
x = a - 2t
y = b - 4t
where t is the parameter that represents time.
These equations represent a straight line in the direction of the gradient vector of T(x,y). The particle moves from point P in the direction of the gradient vector, with a speed proportional to the magnitude of the gradient vector.
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How many pints are in6 1/2quarts?
314pt
13 pt
1912pt
26 pt
Answers
Answer:
13 pints
Step-by-step explanation:
6 1/2 (6.50) quarts is equal to 13 pints
Answer:
13pt
to go from quarts to pints multiply the value by 2
WILL GIVE U BRAINLIEST
What is the incenter of a triangle and what is a special property of it?
A. The point within a triangle where all three angle bisectors intersect. This is equidistant from the sides of a triangle
B. The point where all three medians of a triangle intersect. Each median will be divided and in a 1/3 and 2/3 proportionality
C. The point within a triangle where all three perpendicular bisectors of the sides intersect. This is equidistant from the angles of a triangle.
D. The point where all three altitudes of the triangle intersect
Answers
Answer:
A. The three angle bisectors of the angles of a triangle meet in a single point, called the incenter .
B. All triangles have three medians, which, when drawn, will intersect at one point in the interior of the triangle called the centroid
C. A point where three or more lines intersect is called a point of concurrency.
D. The three altitudes of a triangle intersect at the orthocenter,
A certain bacteria can divide every hour. Which of the following equations represents the number of cells, N, that is present after t hours?
A
N(t)=2t
B
N(t)=2/t
C
N(t)=2t
D
N(t)=t2
Answers
Answer:
N(t) = N0/2^t
Step-by-step explanation:
Given that:
Number of cells present after t hours = N
Let initial number of cells = N0
Using the exponential decay relation:
N(t) = N0(1/2)^t
N(t) = N0/2^t
Hence, the number of cells N present after t hours is N(t) = N0/2^t.
Archie bought 100 shares of stock in an ice cream company 2 years ago. He paid $60.65 per share. He just sold all of his shares for $67.68 per share. How much did he gain?
Answers
Answer:
Step-by-step explanation:
First, we need to find the difference between the price that he sold the shares for and the price that he bought them at: (67.68-60.65) = 7.03
That means that there was a gain of $7.03 per share for Archie.
That being said, since Archie bought 100 shares, we can multiply that number by 100 to find the total gain from selling the shares:
(7.03x100)= 703
The answer then is:
Archie gained $703 from selling all of his shares.
Factor 15x + 35 using the GCF.
A. 5(3x + 7)
B. 5(3x + 35)
C. 15(x + 2)
D. 7(2x + 5)
Answers
Answer:
A
Step-by-step explanation:
Find the following values for the given polynomial function.
(a) f(0)
(b) f(2)
(c) f(-2)
f(x)=-x³ +7x²-2x+12
(a) f(0)=12 (Simplify your answer.)
(b) f(2)= ______(Simplify your answer.)
Answers
The values of the given polynomial function are:-
(a) f(0) = 12,
(b) f(2) = 44 and,
(c) f(-2) = 36
Given polynomial function:-
\(f(x)=x^3+7x^2-2x+12\)
We have to find the values of the given polynomial function.
Putting x = 0 in the given polynomial function, we get,
\(f(0)=(0)^3+7(0)^2-2(0)+12\)
f(0) = 0 + 0 - 0 + 12 = 12
f(0) = 12
Putting x = 2 in the given polynomial function, we get,
\(f(2)=(2)^3+7(2)^2-2(2)+12\)
f(2) = 8 + 28 - 4 + 12
f(2) = 44
Putting x = -2 in the given polynomial function, we get,
\(f(-2)=(-2)^3+7(-2)^2-2(-2)+12\)
f(-2) = -8 + 28 + 4 + 12
f(-2) = 36
Hence, we have found the values of each of the given values of x.
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In a survey, 15 high school students said they could drive and 15 said they could not. Out of 60 college students surveyed, 30 said they could drive. Micah concluded that if someone is in college, that means the person is more likely to drive. Is Micah’s conclusion correct? Explain
Answers
Answer:
No. 30/60 and 15/30 is not overwhelming.
Step-by-step explanation:
Half of the students said they could drive. This is not more likely it's just half and half.
Answer:
No, Micah is not correct. Since there are equal numbers of people in each group who drive and who do not drive, the relative frequency for each is 50%. Because the relative frequencies are the same, there is no association between the variables.
Step-by-step explanation:
please solve its due
Answers
Answer:
2118+3391+4785+6354= 16648
Step-by-step explanation:
I NEED HEL:P PLEASE ALL OF THIS
Answers
Answer:
sorry
Step-by-step explanation:
fjdskafjksl;fjklads;nvkanrdjknfvjlrcpd
A projectile is launched from the ground with an initial speed of 220 ft/sec at an angle of 60° with the horizontal.
What is the height of the projectile after 4 seconds?
How long is the projectile in the air?
What is the horizontal distance traveled by the projectile?
What is the maximum height of the projectile?
Answers
The height of the projectile after 4 seconds is 421.28 ft.
The projectile is in the air for 8.015 seconds.
The horizontal distance traveled by the projectile is 881.77 ft.
The maximum height of the projectile is 464.1 ft.
To solve this problem, we can use the kinematic equations of motion for a projectile.
Let's assume that the initial height of the projectile is zero.
What is the height of the projectile after 4 seconds:
We can use the equation:
\(y = yo + vot + 1/2at^2\)
where
y = height of the projectile
yo = initial height (zero in this case)
vo = initial vertical velocity = 220 sin(60°) = 190.53 ft/sec
a = acceleration due to gravity \(= -32.2 ft/sec^2\) ( negative since it acts downwards)
t = time = 4 sec
Plugging in the values, we get:
\(y = 0 + (190.53)(4) + 1/2(-32.2)(4)^2 = 421.28 ft\)
Therefore, the height of the projectile after 4 seconds is 421.28 ft.
Long is the projectile in the air:
The time of flight of a projectile can be calculated using the equation:
t = 2vo sinθ / g
where θ is the launch angle and g is the acceleration due to gravity.
Plugging in the values, we get:
t = 2(220 sin(60°)) / 32.2 = 8.015 sec
Therefore, the projectile is in the air for 8.015 seconds.
Horizontal distance traveled by the projectile:
The horizontal distance traveled by the projectile can be calculated using the equation:
\(x = xo + vot + 1/2at^2\)
where
x = horizontal distance traveled
xo = initial horizontal position (zero in this case)
vo = initial horizontal velocity = 220 cos(60°) = 110 ft/sec
a = acceleration due to gravity (zero in the horizontal direction)
t = time = 8.015 sec
Plugging in the values, we get:
\(x = 0 + (110)(8.015) + 1/2(0)(8.015)^2 = 881.77 ft\)
Therefore, the horizontal distance traveled by the projectile is 881.77 ft.
Maximum height of the projectile:
The maximum height of a projectile can be calculated using the equation:
\(ymax = yo + (vo^2 sin^2 \theta ) / 2g\)
Plugging in the values, we get:\(ymax = 0 + (190.53^2 sin^2(60\degree )) / (2)(32.2) = 464.1 ft\)
Therefore, the maximum height of the projectile is 464.1 ft.
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Bryan withdrew $60 from his bank account. If this is 15% of the money he had in his account, how much money was in his account before the withdrawal?
Answers
Answer:
Bryan had 400$ in his bank account before he withdraw
Step-by-step explanation:
60$ ---- 15%(set what you have)
x$ ------100%(set what you need)
(x$ x 15%) 15x =(60$ x 100%)6000( cris cross the sides)(the signs dont matter )
x=400
What is the meaning of "all free variables of a formula ϕ(u1, . . . , un) are among u1, . . . , un"?
Answers
The phrase "all free variables of a formula ϕ(u1, . . . , un) are among u1, . . . , un" refers to a property of a logical formula ϕ with variables u1, u2, ..., un. In logic and formal systems, variables are used to represent unspecified elements or objects.
What does the phrase imply?When a variable is considered "free" in a formula, it means that it is not bound by any quantifiers or other logical operators in the formula. In other words, it is a variable that is not restricted in any way within the formula.
The given statement implies that all the free variables in the formula ϕ(u1, . . . , un) are explicitly listed among the variables u1, u2, ..., un. In other words, the formula ϕ does not contain any additional free variables beyond the ones explicitly mentioned.
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There are 90 dogs and 150 cats at an animal shelter. Of these animals, 9 dogs and 27 cats receive medication daily. What percentage of the animals in the shelter receive medication daily?
Answers
Answer:
15%
Step-by-step explanation:
Hope this helps! :3
Which of the following graphs represents the inequality 10x - 5y < 50?
-
Answers
Answer:
The 3rd option
Step-by-step explanation:
Let's solve for x.
10x−5y<50
Step 1: Add 5y to both sides.
10x−5y+5y<50+5y
10x<5y+50
Step 2: Divide both sides by 10.
10x/10<5y+50/10
x<1/2y+5
y-5x 7x + xy x = 0 and y = 4
Answers
Answer:
x(7y)x(7y)
Step-by-step explanation:
The given expression: 7(xy)7(xy)
i.e. a product of 7 and xy.
The operation used here: Multiplication.
Commutative property of multiplication :-
a\times b=b\times aa×b=b×a for any numbers a and b.
Associative property of multiplication :-
a\times(b\times c)=(a\times b\times c)a×(b×c)=(a×b×c) for any numbers a , band c.
Now, 7(xy)=(7x)y7(xy)=(7x)y [Associative property of multiplication]
=(x7)y=(x7)y [Commutative property of multiplication]
=x(7y)=x(7y) [Associative property of multiplication]
Jamal pays an initial fee of $50 and $4.00 for each audio book he downloads?
Let x=number of audio books
Let y=total cost in dollars
Write an equation for this situation.
What is the meaning of the slope and the y intercept?
if you answer this and show the work I'll give out 50+ points on a different question that you don't even have to answer for now this question is 25
Answers
Answer:
4x + 50 = y
Step-by-step explanation:
Since it is $4 for each audiobook, this means that it is the slope.
Since Jamal started with an initial fee, this makes it the y-intercept.
So the equation is $4 per audiobook = 4x, initial fee of $50 which makes the equation: 4x + 50 = y
Y-intercept is the starting number, in this case, the initial fee.
Slope is the rate at which a value is increasing, in this case, for each audiobook bought, $4 is spent
A dietitian wishes to see if a person’s cholesterol level will change if the diet is supplemented by a certain mineral. Six subjects were pretested, and then they took the mineral supplement for a 6-week period. The results are shown in the table. (Cholesterol level is measured in milligrams per deciliter.) Can it be concluded that the cholesterol level has been changed at level of 0.10? Assume the variable is approximately normally distributed.
Answers
The conclusion of the hypothesis testing is that; there is not enough evidence to support the claim that the mineral changes a person’s cholesterol level.
How to carry out hypothesis testing?Hypothesis testing is defined as the method that is used to find the probability of the hypothesis to be proved in the future on the basis of the small population sample.
Let us first define the hypothesis in this problem;
Null Hypothesis; H₀: μ_d = 0
Alternative Hypothesis; Hₐ: μ_d ≠ 0 (Claim)
The degree of freedom is;
DF = n - 1
DF = 6 - 1
DF = 5
At a significance level of α = 0.10, with a DF of 5, the critical values are ±2.015.
Using a computer software, we can calculate the mean from the attached table as;
D' = ∑d/n
D' = 100/6 = 16.7
Similarly, the standard deviation is calculated from the formula;
S_d = √(n∑d² - (∑d)²)/(n(n - 1))
s_d = √(6.489 - 100²)/(6(6 - 1))
s_d = 25.4
The test statistic is gotten from the formula;
t = (D' - μ_d)/(s_d/√n)
t = (16.7 - 0)/(25.4/√6)
t = 1.610
This is less than the critical value and we fail to reject the null hypothesis and conclude that there is not enough evidence to support the claim that the mineral changes a person’s cholesterol level.
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Find the slope of this problem
Answers
Answer:
1/9 rise 1 run 9
Step-by-step explanation:
if you graph the y coordinate as 3 and find the x value, x value should be 0. Point (0,3) and (-9,2) and do rise over run
Which expression is the simplest form of 2(4x + y) + 3(x-69) + x??
O A. x2 + 11x – 4y
B. x2 + 11x- 17y
O c. x2 + 11x-16y
O D. x2 + 9x - 17y
SUBMIT
Answers
what is the equation in slope intercept form?
Answers
Answer:
y=-x+3
Step-by-step explanation:
rise/run
-1/1
-1
Every time Liliana bakes a batch of brownies, she uses 3/4 cup of chocolate. If she has 128 cup(s) of chocolate remaining, how many batches of brownies can Liliana make
Answers
Answer:
2
Step-by-step explanation:
12/8 is equal to 6/4.
6 divided by 3 is 2.
7. Resolver: Cuantas cajas de 30cm*90cm* 78 cm
caben en un contenedor de 180cm*4m*2m
Answers
Answer:
Ninguna
Step-by-step explanation:
Porque las dimensiones de las cajas son mucho más grandes que las del contenedor.
(tal vez la pregunta este mal formulada)
Sammy's allowance increases by $1.00 each week of summer break.
If she receives $3.00 the first week, how much money will she make on the sixth week of break?
Please please someone help me with this
Answers
Answer:
$8.00.
Step-by-step explanation:
$3.00 is the starting position for the money. We have to add $1.00 for each week. $3+$1+$1+$1+$1+$1=$8.00.