The different possible outcomes are there if she spins a spinner with 5 equal-sized sections-
So, there are are total 10 outcomes of flipping a coin
A coin has two faces head and tail . On flipping a coin there are total 2 outcomes i.e. a head and a tail.
There is a spinner with 5 equal-sized sections labeled Monday, Tuesday, Wednesday, Thursday, Friday.
On Spinning a spinner with 5 equal-sized sections there are total 5 outcomes . They are Monday, Tuesday, Wednesday, Thursday, Friday.
So there are two events flipping a coin and spinning a spinner.
possible outcomes are
(Head, Monday) (Tail , Monday) (Head, Tuesday) (Tail, Tuesday)
(Head, Wednesday) (Tail , Wednesday) (Head, Thursday) (Tail, Thursday)
(Head, Friday) (Tail, Friday)
So, there are are total 10 outcomes.
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Solve the quadratic equation -4x2 + 2x - 5 = 0 using the quadratic formula.
Considering the way of solve a quadratic function, the quadratic function f(x) = -4x² + 2x -5 does not have zeros o roots.
Zeros of a functionSolving a quadratic function involves finding the zeros of the function, this is, the points where a polynomial function crosses the axis of the independent term (x).
In summary, the roots or zeros of the quadratic function are those values of x for which the expression is equal to 0. Graphically, the roots correspond to the abscissa of the points where the parabola intersects the x-axis.
In a quadratic function that has the form:
f(x)= ax² + bx + c
the zeros or roots are calculated by:
\(x1,x2=\frac{-b+-\sqrt{b^{2}-4ac } }{2a}\)
This caseThe quadratic function is f(x) = -4x² + 2x -5
Being:
a= -4b= 2c= -5the zeros or roots are calculated as:
\(x1=\frac{-2+\sqrt{2^{2}-4x(-4)x(-5) } }{2x(-4)}\)
\(x1=\frac{-2+\sqrt{4-80} }{2x(-4)}\)
\(x1=\frac{-2+\sqrt{-76} }{2x(-4)}\)
and
\(x2=\frac{-2-\sqrt{2^{2}-4x(-4)x(-5) } }{2x(-4)}\)
\(x2=\frac{-2-\sqrt{4-80} }{2x(-4)}\)
\(x2=\frac{-2-\sqrt{-76} }{2x(-4)}\)
As the √-76 has no real solution (it is not possible to calculate it), it indicates that it is not possible to calculate the roots of the function
Finally, the quadratic function f(x) = -4x² + 2x -5 does not have zeros o roots.
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The sum of three consecutive odd integers is 75 . Find the value of the middle of the three.
The value of the middle of the three is 25.
Let x be the first odd integer, then the next two consecutive odd integers are x+2 and x+4. The sum of these three consecutive odd integers is given as 75, so we can write the equation:
x + (x+2) + (x+4) = 75
Simplifying the left side of this equation gives:
3x + 6 = 75
Subtracting 6 from both sides gives:
3x = 69
Dividing by 3 gives:
x = 23
So the first odd integer is 23, and the next two consecutive odd integers are 25 and 27. The middle of these three is the second consecutive odd integer, which is 25. Therefore, the value of the middle of the three is 25.
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if u help me i will give u knicks by cochise
Answer:
6
Step-by-step explanation:
Which expression is equivalent to
5(6p + 5) + 2(8p + 3)?
Answer:
46p + 31
hope it's helpful
Answer:
46p + 31
Step-by-step explanation:
Distribute : 5(6p + 5 ) to get 30p+25
Distribute : 2(8p + 3) to get 16p + 6
new expression : 30p + 25 + 16p + 6
Add these together to get : 46p + 31
i hope this helps (:
what is the coefficient of (3y^2 + 9)5
The coefficient of (3y² + 9)5 is 15.
A polynomial is of the form a₀xⁿ + a₁xⁿ⁻¹ + a₂xⁿ⁻² + ... + aₙ₋₁x + aₙ.
Here, x is the variable, aₙ is the constant term, and a₀, a₁, a₂, ..., and aₙ₋₁, are the coefficients.
a₀ is the leading coefficient.
In the question, we are asked to identify the coefficient of (3y² + 9)5.
First, we expand the given expression:
(3y² + 9)5
= 15y² + 45.
Comparing this to the standard form of a polynomial, a₀xⁿ + a₁xⁿ⁻¹ + a₂xⁿ⁻² + ... + aₙ₋₁x + aₙ, we can say that y is the variable, 15 is the coefficient, and 45 is the constant term.
Thus, the coefficient of (3y² + 9)5 is 15.
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A blindfolded contestant makes a random selection from a bag
that contains white, red, green, and yellow marbles at a carnival
booth. The bag contains 12 marbles in total. Use the following
clues to determine how many marbles of each color are in
the bag.
=
Clue 1: P(white) + Plyellow) = P(green)
Clue 2: Of 40 players, 10 are expected to select a white marble.
Clue 3: If 2 green marbles are removed from the bag, then P(red) = 5
co
1. How many white marbles are in the bag? Explain.
TRUE/FALSE When inserting a value into a partially-filled array, in descending order, the insertion position is the index of the first value smaller than the value.
The given statement When inserting a value into a partially-filled array in descending order, the insertion position is indeed the index of the first value smaller than the value being inserted is true.
What is partially filled array?
A partially filled array, also known as a sparse array, is an array data structure where not all elements are populated with values. In other words, it is an array that contains empty or uninitialized elements.
When inserting a new value into this sorted array, we start from the beginning and compare the value with each existing element until we find the first element that is smaller. The insertion position for the new value is the index of this first smaller element.
For example, if we have a partially-filled array [10, 8, 5, 3] and we want to insert the value 6 into the array in descending order, we compare 6 with each element from left to right. The first element smaller than 6 is 5, and its index is 2. Therefore, the insertion position for the value 6 would be index 2, resulting in the updated array [10, 8, 6, 5, 3].
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Jeo is comparing the price of different boxes of cereal. One box has 16 oz. and costs $3.50. Another costs $3.89 for a 24 oz. box. What is the difference in cost, in dollars, per ounce between the two boxes of cereal?
Answer:
The difference in cost, in dollars, per ounce between the two boxes of cereal is $0.06.
Step-by-step explanation:
☆Let's solve using proportion.
☆One box:
\( \frac{16 \: oz.}{3.50 \: dollars} = \frac{1 \: oz.}{x} \\ \\ \frac{3.50}{16} = \frac{16x}{16 } \\ \\ 0.22 = x\)
☆Another box:
\( \frac{24 \: oz.}{3.89 \: dollars} = \frac{1 \: oz.}{x } \\ \\ \frac{3.89}{24} = \frac{24x}{24} \\ \\ x = 0.16\)
☆All we need to do is subtract: \(0.22 - 0.16 = 0.06\)
☆The difference in cost, in dollars, per ounce between the two boxes of cereal is $0.06.
f(x)= -3x+20
find f (5)
Answer:
f(5)=5
Step-by-step explanation:
plug in 5 for x
-3(5)+(20)
-15+20
=5
Who can help me with this
Answer:
The order of rotational symmetry of the wheel is;
C) 12
Step-by-step explanation:
The order of rotational symmetry of a shape is given by the sum of the times the shape can by rotated round 360° and still appears to be exactly the same as it was before being rotated
The given wheel has 6 pairs of similar in-line spokes such that there are a total of 12 spokes
The wheel looks the same each time the next spoke moves to the position of the previous spoke
Therefore, the number of times the wheel looks exactly the same while turning 360° is 12 times
Therefore, the order of rotational symmetry of the wheel = 12.
if the saving rate is 1 (i.e., s = 1), we know that
If the saving rate is 1, it means that an individual or an economy saves their entire income and spends nothing. This implies that the consumption rate is 0, and all income is being saved.
In this scenario, the investment rate is equal to the saving rate, as there is no consumption spending. Therefore, the economy is investing all of its income in capital goods and not in consumption goods. This approach may result in high economic growth in the future due to the increased production capacity of the economy. However, in the short term, it may lead to a decrease in consumer demand and a decrease in output and employment in sectors producing consumer goods.
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A paper cup is tossed 50 times. It lands right side up 11 times, upside down 14 times, and on its side 25 times. What percent of time did it land on it's side?
The cup was tossed 50 times
This is the 100% of times it was tossed.
It landed 11 times right side up
14 times upside down
25 times on its side
To calculate the percentage that the times it landed on its side represent, you can use cross multiplication
50 times ____ 100%
25 time _____ x%
\(\begin{gathered} \frac{100}{50}=\frac{x}{25} \\ x=(\frac{100}{50})25 \\ x=50 \end{gathered}\)50% of the times the cup landed on its side
School starts at 8:35 am. It takes billy 32 minutes to get dressed, 13 minutes to eat breakfast, and 17 minutes to walk to school. At what time should billy get up to be right on time for school? : *
The time Billy should get up to be right on time for school is 6:52 am.
The formula to calculate the time Billy should get up to be right on time for school is as follows: Time Billy Should Get Up = School Start Time - (Time to Get Dressed + Time to Eat Breakfast + Time to Walk to School). In this case, the formula is: Time Billy Should Get Up = 8:35 am - (32 minutes + 13 minutes + 17 minutes). In order to solve this equation, first we must convert the minutes to hours. 32 minutes is equal to 0.53 hours and 13 minutes is equal to 0.22 hours. 17 minutes is equal to 0.28 hours. Thus, the formula is: Time Billy Should Get Up = 8:35 am - (0.53 hours + 0.22 hours + 0.28 hours). Now, we can solve for the time Billy should get up. 8:35 am minus 0.53 hours is 7:42 am. Then, 7:42 am minus 0.22 hours is 7:20 am. Finally, 7:20 am minus 0.28 hours is 6:52 am. Therefore, the time Billy should get up to be right on time for school is 6:52 am.
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can someone please give me an answer for this
Answer:
it needed your to focus on school work , homework and work hard to make yourself feel ready
what is 8.92 x 106 in standerd form
\(8.92 \times 10^6\)
\(8920000\)
Answer: 945.52
Step-by-step explanation:
which angles are complementary?
Answer:
the fourth
Step-by-step explanation:
Complementary means that the sum of two angels equals to 90°
so LKM and MKN because they're both 45° and the sum is 90°
Daria is purchasing a $75 appliance for her kitchen. She has three
coupons to the store that she can choose from. Which is a true statement
about Daria's options? *
Coupon 1: $10 off purchase
Coupon 2: 15% off purchase
Coupon 3: 1 off purchase
Answer: coupond 3 offers the best sale price of $60
Step-by-step explanation:
A _____ is a table in which frequencies correspond to two variables.
a. relative frequency table
b. standard normal distribution table
c. Pearson correlation coefficient table
d. contingency table
A table whose frequencies match two variables is known as a contingency table.
Correct option: d
What is contingency table?It is a data table that is employed particularly in the research of the correlation between variables. The row entries tabulate the data according to one variable, while the column entries tabulate it according to another variable.
Contingency tables give a simple and basic representation of how two or more variables interact and may be used to identify their interactions. The table displays one categorical variable's distribution in rows and another categorical variable's distribution in columns.
The associations between two or more categorical variables are described in a contingency table, sometimes referred to as a cross-classification table.
A table whose frequencies match two variables is known as a contingency table.
Thus, correct option is: d
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Let Z ~ N(0, 1) and X ~ N(μ, σ^2) This means that Z is a standard normal random variable with mean 0 and variance 1 while X is a normal random variable with mean μ and variance σ^2 (a) Calculate E(^Z3) (this is the third moment of Z) (b) Calculate E(X) Hint: Do not integrate with the density function of X unless you like messy integration. Instead use the fact that X-eZ + μ and expand the cube inside the expectation.
E(Z³) = 0.
Expected value of X E(X) is equal to its mean, μ.
How to calculate the E(Z³) and E(X)?We have two parts to answer:
(a) Calculate E(Z³), which is the third moment of Z
(b) Calculate E(X)
(a) Since Z ~ N(0, 1), it is a standard normal random variable. For standard normal random variables, all odd moments are equal to 0. This is because the standard normal distribution is symmetric around 0, and odd powers of Z preserve the sign, causing positive and negative values to cancel out when calculating the expectation. Therefore, E(Z³) = 0.
(b) To calculate E(X), recall that X = σZ + μ, where Z is a standard normal random variable, and X is a normal random variable with mean μ and variance σ². The expectation of a linear combination of random variables is equal to the linear combination of their expectations:
E(X) = E(σZ + μ) = σE(Z) + E(μ)
Since Z is a standard normal random variable, its mean is 0. Therefore, E(Z) = 0, and μ is a constant, so E(μ) = μ:
E(X) = σ(0) + μ = μ
So, the expected value of X is equal to its mean, μ.
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A point q on a segment with endpoints a (2, −1) and c (4, 2) partitions the segment in a 4:1 ratio. find q. you must show all work to receive credit
The coordinates of the point q on the segment with endpoints a (2, −1) and c (4, 2) which partitions the segment in a 4:1 ratio. are (2, 7/5).
We can solve this question by using the section formula, which states that if we have a line segment with endpoints (x1, y1) and (x2, y2) and we want to find a point on the segment that divides it in the ratio of m:n, then the coordinates of the point can be found using the following formula:
q(x,y) = ((mx2 + nx1) / (m + n), (my2 + ny1) / (m + n))
In our case,
m=4, n=1
x1=2, x2=4
y1=-1 ,y2=2
By using the given values in the formula mentioned above, we get the coordinates of q as:
q(x,y)=( [4*4+1*2]/5 ,[4*2+1*-1]/5 )
q(x,y)=( 18/5), (7/5)
So the x coordinate of q is: 18/5
the y coordinate of q is: 7/5
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1. Show that the triangle with vertices A (8,5). B (1, -2) and C(-3, 2) is a right angled triangle. Find its area.
Answer:
14 units²Step-by-step explanation:
Plot the points.
According to the attached we can see the triangle is right.
Use distance formula to find the length of AB and BC:
\(AB=\sqrt{(1-8)^2+(-2-5)^2}=\sqrt{7^2+7^2}=7\sqrt{2}\)\(BC=\sqrt{(-3-1)^2+(2+2)^2}=\sqrt{4^2+4^2}=2\sqrt{2}\)Find the area:
\(A = 1/2(AB*BC)\)\(A = 1/2(7\sqrt{2}*2\sqrt{2}) = 14\)
A hot air balloon went from an elevation of 5,717 feet to an elevation of 3,388
feet in 34 minutes. What was its rate of descent?
The rate of the descent was
feet per minute.
Answer:
68.5 feet per minute
Step-by-step explanation:
rate of descent = feet / minute
First you need to find how many feet it has descended:
beginning altitude- ending altitude = total feet descended
5717 feet - 3388 feet = 2329 feet
To figure out the rate of decent we will divide
2329 feet / 34 minutes = 68.5 feet per minute
The hot air ballon descended 68.5 feet per minute for 34 minutes.
You have to write an equation then solve.
Train A runs back and forth on an east-west section of railroad track. Train A’s velocity, measured in meters per minute, is given by a differentiable function vA(t) where time t is measured in minutes. Selected values for vA(t) are given in the table below.t (Minutes) 0 2 5 8 12vA(t)(meters/minute) 0 100 40 -120 -150Find the average acceleration of train A over the interval 2 ≤ t ≤ 8.
The average acceleration of Train A over the interval 2 ≤ t ≤ 8 is -40 meters per minute squared.
Explanation:
The average acceleration of a body over a given time interval is defined as the change in velocity divided by the time interval. In this case, we are given the velocity function vA(t) for Train A, and we want to find its average acceleration over the interval 2 ≤ t ≤ 8.
To find the change in velocity over this interval, we can subtract the velocity at t=2 from the velocity at t=8:
Δv = vA(8) - vA(2) = (-120) - 100 = -220 meters per minute
To find the time interval, we can subtract 2 from 8:
Δt = 8 - 2 = 6 minutes
Now we can use the formula for average acceleration:
a = Δv/Δt = (-220)/6 = -40 meters per minute squared
Therefore, the average acceleration of Train A over the interval 2 ≤ t ≤ 8 is -40 meters per minute squared.
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Select the best answer regarding the effects of Carbon monoxide: a. The affinity between CO and hemoglobin is about the same as oxygen. b. The central chemoreceptors will detect the reduction in oxygen delivered to the cells and will increase their firing rate. c. CO results in less oxygen loading hemoglobin but unloading is not changed. d. A small amount of CO in the air will not reduce arterial PO2 levels enough to be sensed by the peripheral chemoreceptors.
The best answer regarding the effects of carbon monoxide is option c, CO results in less oxygen loading hemoglobin but unloading is not changed.
Carbon monoxide binds up more tightly to the hemoglobin as compared to the oxygen molecules. This reduces the oxygen-carrying capacity of the blood and results in less oxygen loading onto hemoglobin.
However, once oxygen is already bound to hemoglobin, CO does not significantly affect its release or unloading. Therefore, option c is the most accurate statement among the given choices.
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Can someone help me out with this
Answer:
Step-by-step explanation:
a) 7² + a⁰ = 7*7 + 1 = 49 + 1 = 50
Anything raised to 0 is 1 {Eg: 15⁰ = 1 ,(-k)⁰ = 1}
b) 4³ - 3¹ = 4*4*4 - 3 = 64 - 3 = 61
c) 12x⁶ * 7x⁸ = (12*7)*x⁶⁺⁸ = 84x¹⁴
In exponent multiplication, If x is a rational number and a & b are two integers, then xᵃ * xᵇ = xᵃ⁺ᵇ
d) 49a¹³ ÷ 7a⁸ = (49 ÷ 7) * a¹³⁻⁸ = 7a⁵
In exponent division, If x is a rational number and a & b are two integers, then xᵃ ÷ xᵇ = xᵃ⁻ᵇ
e) (2y³)⁵ = 2⁵*(y³)⁵ = 32y³ˣ⁵ = 32y¹⁵
Need help ASAP please!
Answer:29
Step-by-step explanation:
Lastly solve |5x-7|= -3
Answer:
there is no number to plug into x cause you can't have a negative number if it is absolute value cause that makes everything positive
The resulting vector for b − a is < , >, and the resulting vector for 2a − b is < , >.
The vectors are:
The resulting vector b - a is <-5, 7>.The resulting vector 2a - b is <8, -9>.What is a vector?In mathematics, a vector is a quantity that has both magnitude and direction but no position. Examples include velocity and acceleration.To find the vectors:
Use the graph to solve the problem:
The vector a is <3, -2>The vector b is <-2, 5>We can add and subtract the vectors:
a = <3 , -2>b = <-2 , 5>-To find b - a subtract a from b:
b - a = <-2 , 5> - <3 , -2> = <(-2 - 3) , (5 - -2)> = <(-5) , (7)>The resulting vector b - a is <-5, 7>2a means multiply vector a by 2:
a = <3 , -2>2a = <(2 × 3) , (2 × -2) = <6 , -4>Now let's find the resulting vector 2a - b.
- Subtract b from 2a:
2a = <6 , -4>b = <-2 , 5>2a - b = <6 , -4> - <-2 , 5> = <(6 - -2) , (-4 - 5> = <(8) , (-9)> = <8 , -9>The resulting vector 2a - b is <8, -9>
Therefore, the vectors are:
The resulting vector b - a is <-5, 7>.The resulting vector 2a - b is <8, -9>.Know more about vectors here:
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The complete question is given below:
The graph shows vectors a and b the resulting vector for b - a is blank, blank >, and the resulting vector for 2a -b is < blank, blank >.
how to find volume of a prism
Answer:
- HOW TO FIND VOLUME OF PRISM -
1st step - Write the formula for finding the volume of a regular pentagonal prism. The formula is V = [1/2 x 5 x side x apothem] x height of the prism.
2nd step - Find the area of the pentagonal base face. Let's say the length of a side is 6 cm and the length of the apothem is 7 cm.
3rd step - Find the height. Let's say the height of the shape is 10 cm.
4th step - Multiply the area of the pentagonal base face times the height. ...
and last step - State your answer in cubic units.
Step-by-step explanation:
:):):)