Answer:
0.009754
Step-by-step explanation:
(.65)^4 x (0.35)
By saying that he makes a free throw on the fifth show, he did not make the first four, therefore 4 of the times he shot, he did not get it in.
If he makes the shot 35% of the time, he doesn't make it 65% of the time: (1-0.35=.65)
On the last shot he made it, which he makes 35% of the time therefore:
You want to multiply : 0.35 (which is = 35%) by itself four times and then multiply that by 0.65 (since the last shot was made)
0.35 x 0.35 x 0.35 x 0.35 x 0.65 = 0.009754 or 0.9754%
There is a 0.9754% chance he makes it BUT a 0.009754 probability
the statistical abstract of the united states reports that 38 percent of the country's households are composed of one person. if 7 randomly selected homes are to participate in a nielson survey to determine television ratings, find the probability that fewer than two of these homes are one-person households.
The probability that fewer than two of the seven households are one-person households is:P(x ≤ 1) = P(0) + P(1) = 0.002 + 0.0322 = 0.0342.
The statistical abstract of the United States reports that 38 percent of the country's households are composed of one person. If 7 randomly selected homes are to participate in a Nielsen survey to determine television ratings, the probability that fewer than two of these homes are one-person households is 0.0813.Explanation:Given that the statistical abstract of the United States reports that 38% of the country's households are composed of one person.Now, we have to find the probability that fewer than two of these homes are one-person households when 7 randomly selected homes participate in a Nielsen survey to determine television ratings.
We are given: The proportion of one-person households = 38% = 0.38. The proportion of households with more than one person = 100% - 38% = 62% = 0.62. We are supposed to find the probability that fewer than two of the seven households are one-person households.The required probability is the sum of the probabilities of selecting 0 one-person households and 1 one-person household.
P(x ≤ 1) = P(0) + P(1)P(0) = probability of selecting 0 one-person households P(1) = probability of selecting 1 one-person householdn = 7, r = 0 P(0) = (7C0)(0.38)^0(0.62)^(7-0) = 0.002 P(1) = (7C1)(0.38)^1(0.62)^(7-1) = 0.0322
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20 points should be easy to get if you friended me :)
Answer:
Okie
Step-by-step explanation:
A man is carrying a pole of length 5m the pole is measured to the nearest centimetre
The pole measures 500 centimeters.
We are required to perform unit conversion to find the answer. Conversion of unit requires the relating link between two units. While relating the two units, usually greater unit holds singular or unit value, which is 1. The smaller unit holds value greater than 1, but at equivalent level with first unit. So, as per the known fact, 1 meter is equal to 100 centimeters. Using this formula to find measurement of 5 meters in centimeters.
1 meter = 100 centimeters
5 meters = 100 × 5
Performing multiplication to find the measurement of pole in centimeters
5 meters = 500 centimeters
Therefore, the measurement of pole is 500 centimeters.
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The top of an off shore oil rig has an elevation of 199.2 m and its base has an elevation of -9.6 m and observation deck is located at in elevation equal to 1/6 of the total height of the oil rig a Helly pad is located 22.8 m above the observation deck what is the elevation of the Helly pad
Answer: 57.6m
Step-by-step explanation:
That's a lot of words that questions usually use to try to trip us up but not this time so lets pull all relevant information
199.2m= top of off shore oil rig
-9.6 m is the base of the rig
observation deck is 1/6 of the total height
helly pad is 22.8m above the observation deck
First lets try to find the total height of the rig. We can do this by adding the absolute value of the top and base of the oil rig. So 199.2 + 9.6 = 208.8m
So the total height is 208.8m now lets find the observation deck. We know the observaition is 1/6 of the total height which is 208.8m right so lets multiply. 1/6*208.8m= 34.8m
Now we know the observation deck is 34.8m high. Finally we can find the helly pad which is 22.8 m above the observation deck.
Since the observation deck is 34.8m and the helly pad is 22.8 above observation deck (34.8m) all we have to do is add so 22.8+34.8= 57.6m
So we know the total height is 208.8m
The observation deck is 34.8m
And the helly pad is 57.6m
if the volume of two cylinders are equal, then their surface areas must be equal. true or false
Answer:
False
V(cylinder 1) = π(6^2)(8) = 288π
V(cylinder 2) = π(4^2)(18) = 288π
S(cylinder 1) = 2π(6^2) + 2π(6)(8) = 168π
S(cylinder 2) = 2π(4^2) + 2π(4)(18) = 176π
Solve the system by substitution.
9y = x
- 4x + y = –35
Answer: The answer is 7x.
Step-by-step explanation:
Answer:
The answer is x=9 and y=1
Step-by-step explanation:
First, you have to substitute x from -4x to 9y which is -4(9y).
That would equal -36y.
Then the second equation would look like this:
-36y + y = -35
Then simplify. If you add -36y and y, it would equal -35y.
-35y = -35
Divide -35 on each side.
y = 1
To find the x value, you have to plug 1 into the first equation. (It doesn't matter which equation you plug into).
So if you plug it into the first equation it would look like this:
9(1) = x
9 = x
a. if you were to select one block from the
bag 12 times, replacing the block you drew
between each selection, how many of those
times would you expect to have selected a
blue block? explain your reasoning.
If the bag contains a total of n blocks and m of them are blue, we would expect to have selected a blue block approximately (m/n) * 12 times out of the 12 draws, assuming the selection process is random and the probabilities remain constant.
Let's assume that the bag contains a total of n blocks, and m of them are blue blocks. The probability of selecting a blue block on each draw, P(blue), would be m/n.
Since we are replacing the block after each selection, the total number of blocks in the bag remains the same throughout the process. Therefore, the probability of selecting a blue block on each draw remains constant at m/n.
To find the expected number of times we would select a blue block, we can multiply the probability of selecting a blue block on each draw (m/n) by the total number of draws (12):
Expected number of blue blocks = (m/n) * 12
The reasoning behind this is that in each individual draw, the probability of selecting a blue block is m/n. By performing 12 independent draws, we can expect to encounter this probability m/n a total of 12 times on average.
Therefore, if the bag contains n blocks with m blue blocks, we would expect to have selected a blue block approximately (m/n) * 12 times out of the 12 draws.
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A process by which the investigator assigns the subject to either the treatment or comparison group to improve the likelihood that the two groups will be comparable with regard to known and unknown confounding factors is known as: A. Nonresponse bias B. Blinding C. Randomization D. Stratification
The correct option is C. Randomization.What is randomization? Randomization is a process that randomly assigns subjects to either a control or an experimental group to reduce bias in scientific research.
Randomization can be done by using various methods such as random number tables, coin flip, and so on.The main objective of randomization is to avoid subjective biases, confounding variables, and statistical outliers in an experiment, to establish cause and effect relationships in a research study.
For instance, in a clinical trial to test the efficacy of a new drug on hypertension, randomization can be performed by dividing the participants into two groups randomly, one group receives the new drug (treatment group), while the other group receives a placebo (control group).The advantage of randomization is that it ensures that known and unknown confounding variables are distributed evenly between the two groups.
Thus, the chances of drawing incorrect conclusions from the research are minimized. It also increases the generalizability and reproducibility of the results obtained.
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Esb poles are placed along a road 70 metres apart. What is the distance between the 1st and the 3rd poles
The distance between the 1st and the 3rd poles is 140 meters.
What is the arithmetic operation?
The four fundamental operations of arithmetic are addition, subtraction, multiplication, and division of two or more quantities. Included in them is the study of numbers, especially the order of operations, which is important for all other areas of mathematics, including algebra, data management, and geometry. The rules of arithmetic operations are required in order to answer the problem.
ESB poles are placed along a road 70 meters apart.
So the distance between two poles is 70 meters.
So the distance between 1 and 3rd will be = 2*70 =140metets
Hence, the distance between the 1st and the 3rd poles is 140 meters.
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Complete Question:
Esb poles are placed along a road 70 metres apart. What is the distance between the 1st and the 3rd poles?
"
4. What is the sum of the coefficients of the polynomial (3x+2) ^2 ?
"
The sum of the coefficients of the polynomial is 21
How to determine the sum of the coefficients of the polynomialFrom the question, we have the following parameters that can be used in our computation:
(3x + 2)²
When expanded, we have
(3x + 2)² = 9x² + 12x + 4
In this case, the coefficients are 9 and 12
So, we have
Sum = 9 + 12
Sum = 21
Hence, the sum is 21
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9. The distance between a helicopter and its landing pad is 193 m. If the angle of
depression to its landing pad is 27° to its landing pad, at what altitude (height) is the
helicopter flying? Round your answer to the nearest whole number. [3 marks]
193 m
xm
Landing Pad
Using trigonometric ratio and the angle of depression, the altitude of the plane is 98m
What is Angle of DepressionThe angle of depression is an angle formed by a horizontal line and a line of sight from a point above that line to an object below that line. It is used in trigonometry to calculate the distance between the observer and the object of interest.
Using trigonometric ratio, we can calculate the height or altitude which the plane is flying.
Data;
angle = 27 degreesdistance = opposite = 193,height/ altitude = adjacent = xUsing tangent of the angle;
tan θ = opposite / adjacent
tan 27 = x / 193
x = 193 * tan27
x = 98m
The altitude is 98m
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an angle measures 15 degrees more than its complement. Find the measures of the two angles
Answer:
The first angle is 37.5° and the second would be 52.5°
Step-by-step explanation:
Angles are complementary when their sums add up to 90°.
\(x+(x+15) = 90\\x+x+15=90\\x+x=75\\x=37.5\)
The first angle is 37.5° and the second would be 52.5°, after we plug in x.
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Answer:
Angle 1 = x = 37.5°Angle 2 = x + 15 = 52.5°Concept:
Here, we need to know the idea of the complementary angle.
Two angles are said to be complementary if they add up to 90 degrees.
Be aware that three or more angles cannot be complementary even if their sum is 90 degrees.
Solve:
Given information
Angle 1 = x
Angle 2 = x + 15
Given expression deducted from the definition of the complementary angle
Angle 1 + Angle 2 = 90
Substitute values into the expression
(x) + (x + 15) = 90
Combine like terms
(x + x) + 15 = 90
2x + 15 = 90
Subtract 15 on both sides
2x + 15 - 15 = 90 - 15
2x = 75
Divide 2 on both sides
2x / x = 75 / 2
\(\boxed{x=37.5}\)
Find the measure of angle 2
Angle 2 = x + 15 ⇔ Given expression
Angle 2 = (37.5) + 15 ⇔ Substitute values into the expression
Angle 2 = \(\boxed{52.5}\) ⇔ Simplify by addition
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hi! please help in math!
i need the solution/explanation on how you got the answer
(y + 3) = -8(x - 4)
what is the slope?
Answer:
slope m = - 8
Step-by-step explanation:
the equation of a line in point- slope form is
y - b = m(x - a)
where m is the slope and (a, b ) a point on the line
y + 3 = - 8(x - 4) ← is in point- slope form
with slope m = - 8
The slope is :
↬ -8Solution:
Given: \(\bf{y+3=-8(x-4)}\)
To determine the slope, it's important to know the form of the equation first.
There are 3 forms that you should be familiar with.
The three forms of equations of a straight line are:
Slope Intercept (y = mx + b)Point slope (y-y₁) = m(x - x₁)Standard form (ax + by = c)This equation matches point slope perfectly.
The question becomes, how do you work with point slope to find slope?
Point slopeIn point slope, m is the slope and (x₁, y₁) is a point on the line.
Similarly, the slope of \(\bf{y+3=-8(x-4)}\) is -8.
Hence, the slope is -8.A music website charges x dollars for individual songs and y dollars for entire albums. Person A pays $5.45 to download 2 individual songs and 3 albums. Person B pays $8.41 to download 5 individual songs and 4 albums. Write a system of linear equations that represents this situation. How much does the website charge to download a song? an entire album?
Answer:
Amount charged for downloading individual songs = x dollars
Amount charged for downloading an entire album = y dollars
In respect to person A:
6x + 2y = 25.92
3x + y = 12.96
y = 12.96 - 3x
In respect to person B:
4x + 3y = 33.93
Putting the value of y from the first equation in the second, we get
4x + 3(12.96 - 3x) = 33.93
4x + 38.88 - 9x = 33.93
- 5x = - 4.95
x = 0.99 dollars
Putting the value of x in the first equation, we get
y = 12.96 - 3x
= 12.96 - 2.97
= 9.99 dollars
Step-by-step explanation:
YEAR 9 MATHEMATUCS ALGEBRA
Answer:
Your answer is :
B. 6a^2 + 3ab
Markn my answer as brainlist . Follow me for more answer.
Step-by-step explanation:
12,-24, 48, -96,
determine the next term for each sequence
Which expression is equivalent to –3 – 3x – 1 x? 2x – 4 –2x 4 –2x – 4? 4 – 2x
The expression equivalent to -3 - 3x -1x is 4 - 2x.
An expression in math is a sentence with a minimum of two numbers or variables and at least one math operation. This math operation can be addition, subtraction, multiplication, or division. For example, x + y is an expression, where x and y are terms having an addition operator in between. In math, there are two types of expressions, numerical expressions - that contain only numbers; and algebraic expressions- that contain both numbers and variables.
To get to this you can combine like terms:
-3 - 3x - 1x = -3 - (3x + 1x)
= -3 - (4x)
= -3 - 4x
= -4x - 3
= 4 - 2x
Hence 4 - 2x is equivalent to -3 - 3x -1x
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examine the values of f along the curves that end at (0,0). Along which set of curves is f a constant value?
options:
y= kx^2
y= kx +kx^2
y=kx^3
y=kx
f(x,y) tends to (0,0)
Along the set of curves given by y = kx, the function f(x, y) will have a constant value as it tends to (0, 0). The correct answer is option d.
To determine along which set of curves the function f(x, y) is a constant value, we need to evaluate the function along each curve and observe where the values remain constant.
Curve: y = kx^2
Let's substitute this curve equation into the function f(x, y):
f(x, y) = f(x, kx^2)
Since we are interested in the values of f along the curves that end at (0, 0), we need to evaluate the function as we approach this point. Let's consider the limit as (x, y) approaches (0, 0):
Lim(f(x, kx^2)) as (x, y) -> (0, 0)
Evaluating this limit is necessary to determine whether f remains constant or approaches a specific value as (x, y) approaches (0, 0). Without further information about the function f, we cannot make a definitive conclusion for this curve.
Curve: y = kx + kx^2
Substituting this curve equation into f(x, y):
f(x, y) = f(x, kx + kx^2)
As before, let's evaluate the limit as (x, y) approaches (0, 0):
Lim(f(x, kx + kx^2)) as (x, y) -> (0, 0)
Similarly, without more information about the function f, we cannot determine if it remains constant or approaches a specific value along this curve.
Curve: y = kx^3
Substituting this curve equation into f(x, y):
f(x, y) = f(x, kx^3)
Evaluating the limit as (x, y) approaches (0, 0):
Lim(f(x, kx^3)) as (x, y) -> (0, 0)
Once again, without additional information about f, we cannot ascertain whether it remains constant or approaches a specific value along this curve.
Curve: y = kx
Substituting this curve equation into f(x, y):
f(x, y) = f(x, kx)
Evaluating the limit as (x, y) approaches (0, 0):
Lim(f(x, kx)) as (x, y) -> (0, 0)
Here, we can observe that as (x, y) approaches (0, 0), the value of f(x, kx) will depend only on x (since y = kx). Therefore, along this set of curves, f will be a constant value because it does not depend on the value of y or the specific choice of the constant k.
In conclusion, along the set of curves defined by y = kx, the function f(x, y) is a constant value as (x, y) approaches (0, 0). Hence, the correct answer is option d.
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solve:4^x-2+2*2^2x-1=1 whole 1/6
Answer:
64
Step-by-step explanation:
)3£56::?£
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In the rectangular coordinate system the horizontal number line is called the.
Please help me!!!!! the formula for the volume of a pyramid is v = bh/ 3 where h is the height of the pyramid and b is the area of the base.
rewrite the formula in terms of b , the area of the base. in your final answer, include all of your work.
The formula for the volume of a pyramid in terms of the base area (b) is b = (3v) / h.
To rewrite the formula for the volume of a pyramid in terms of the base area, we can rearrange the equation v = bh/3.
1. Multiply both sides of the equation by 3 to eliminate the fraction: 3v = bh.
2. Divide both sides of the equation by h to isolate b: b = (3v) / h.
To rewrite the formula, we start with the original formula v = bh/3. We want to isolate the base area (b), so we first multiply both sides of the equation by 3 to eliminate the fraction, resulting in 3v = bh. Then, to isolate b, we divide both sides of the equation by h, giving us b = (3v) / h. This final equation allows us to find the base area (b) given the volume (v) and height (h) of the pyramid.
The formula for the volume of a pyramid in terms of the base area is b = (3v) / h.
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help please ASP!!!!!11
Answer:
6. 75 7. 82 8. 113
Step-by-step explanation:
please give me points
For items 7-10, use the figure shown. Find the coordinates of the specified vertex after the given sequence of transformations.
Quadrilateral Q R S T plotted on a coordinate plane with vertices at, Q, (1, 3), R, (3, negative 3), S, (zero, negative 2), and T, (negative 2, 1).
a translation 2 units right, then a reflection across x = 0
Q' = ( , )
The coordinates of the specified vertex after the given sequence of transformations is given by;
Q' = (3, -3).
What is a translation?In Mathematics, the translation of a geometric figure to the right simply means adding a digit to the value on the x-coordinate (x-axis) of the pre-image of a function while a geometric figure that is translated up simply means adding a digit to the value on the y-coordinate (y-axis) of the pre-image or parent function.
Mathematically, a horizontal translation to the right is modeled by this mathematical expression g(x) = f(x + N) while a vertical translation to the positive y-direction (upward) is modeled by this mathematical expression g(x) = f(x) + N.
Where:
N represents an integer.g(x) and f(x) represent a function.By translating the coordinate Q (1, 3) two (2) units to the right, we have the following:
Coordinate Q (1, 3) → Coordinate Q' (1 + 2, 3) = Q (3, 3)
In Mathematics, a reflection across the x-axis would maintain the same x-coordinate while the sign of the y-coordinate would change from positive to negative. Therefore, a reflection over the x-axis is given by this transformation rule:
(x, y) → (x, -y)
Coordinate Q' (3, 3) → (3, -3).
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At your child's birth, you begin contributing monthly to a college fund. The fund pays an APR of 4.1% compounded monthly. You figure your child will need $40,000 at age 18 to begin college. What monthly deposit is required? (Round your answer to the nearest cent.)
Answer:
91
Step-by-step explanation:
Answer:
la reponse a la question et 91
Mr Coope drives 472 miles in 8 hours. At this rate, how many miles would he drive in 6
hours?
A) 381
B) 340
C) 101
D) 354
Please help, I’ll mark your answer as brainliest!
Answer:
Step-by-step explanation:
What are the answers for the question givin?
It’s a circle centered at (250,-170) that passes through (190, 250). The distance between these two points is the radius, which is sqrt((250+170)^2 + (190-250)^2) = sqrt(180000). So the equation is
(x - 250)^2 + (y + 170)^2 = 180000
Triangle RST is shown in the coordinate plane. What are the coordinates of R'S'T' if the figure is reflected over the x-axis and translated down two units? Responses (1, 2), (1, 5), (6, 5) (1, 2), (1, 5), (6, 5), (1, -6), (1, -9), (6, -9) (1, -6), (1, -9), (6, -9) , (3, 2), (3, 5), (8, 5) (3, 2), (3, 5), (8, 5) ,(3, 4), (3, 7), (8, 7) (3, 4), (3, 7), (8, 7) ,
The reflected and then translated coordinates of the triangle are R'( 3,2), S'(3,5), and T'( 8, 5).
What is reflection?A sort of symmetry known as reflective symmetry occurs when one half of an object mirrors the other half. It also goes by the name "mirror symmetry."
For instance, both the left and right sides of a human face are typically the same. Most butterflies have identical wings on their left and right sides.
The given points of the triangle are R(3,-4), S(3,-7), and T(8,-7).
The reflected points of the triangle will be:-
R(3,-4) = R'( 3, 4)
S(3,-7) = R'(3,7)
T(8,-7) = R(8, 7)
The translated points by 2 units down will be:-
R'( 3, 4) = R''( 3, 2)
R'(3,7) = S''( 3, 5)
R(8, 7) = T''(8,5)
Therefore, the reflected and then translated coordinates of the triangle are R'( 3,2), S'(3,5), and T'( 8, 5).
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Answer:
so the other guy can get brainlyest
Step-by-step explanation:
pls like and rate
Two is a zero of the equation 3 - 2 140 +24=0.
Which factored form is equivalent to the equation?
Answer:
C
Step-by-step explanation:
If u look at the last number of 24 and multiply -3*-2*4 u end up receiving 24 unlike any of the other options
write an expresstion that is equivalent to 1/3x+3/4+2/3x-1/4-2/3x
Answer:
1/3x+1/2
Step-by-step explanation:
How many pivot columns must A have if its columns span R5? Why? Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. The matrix must have pivot columns. If A had fewer pivot columns, then the equation Ax = 0 would have only the trivial solution. B. The matrix must have pivot columns. The statements "A has a pivot position in every row" and "the columns of A span R5" are logically equivalent. C. The matrix must have pivot columns. Otherwise, the equation Ax = 0 would have a free variable, in which case the columns of A would not span R5. D. The columns of a 5x7 matrix cannot span R5 because having more columns than rows makes the columns of the matrix dependent.
The matrix must have pivot columns. Otherwise, the equation Ax = 0 would have a free variable, in which case the columns of A would not span R5. Therefore, the correct answer is C.
A pivot column is a column of the matrix that has a non-zero entry in the pivot position and all entries below the pivot are zero. In row echelon form, every row below a pivot column has a zero in the corresponding position. The pivot columns correspond to the linearly independent columns of the original matrix and the number of pivot columns determines the rank of the matrix.
The rank of a matrix is defined as the number of linearly independent columns or rows in the matrix. If the columns of a matrix span Rn, then the rank of the matrix must be equal to n. This means that the matrix must have n linearly independent columns. To ensure that the columns of A span R5, A must have at least 5 pivot columns. If A had fewer pivot columns, then the equation Ax = 0 would have a non-trivial solution, meaning that the columns of A would not be linearly independent and would not span R5.
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