Example # 12: The probability that Mary can work a problem is 70%.
Find the probability that Mary cannot work the problem.
HELP PLEASE!!!
Answer:
the answer is 30% hope this helps you
Answer:
30%
Step-by-step explanation:
The two outcomes (can work the problem and can't work the problem) are complementary.
In probability theory, the complement of any event A is the event [not A], i.e. the event that A does not occur. The event A and its complement [not A] are mutually exclusive and exhaustive.
Complementary events are two outcomes of an event that are the only two possible outcomes.
Complementary outcomes add to 1 or 100%.
100 - 70 = 30.
Jamie's family has completed 80% of a trip. They have traveled 40 miles. How far is the trip?
Answer:
50
Step-by-step explanation:
because forty is eighty percent of 50
1.3.1 1.3.2 1.3.3 1.3.4 Government receives income from various sources, like tax and loans. This income is then distributed to the different sectors. TABLE 3 below shows the source of the income and the expenditure for the 2019/20 tax year. SOURCE Tax INCOME Loans ASC QP Other income Non-tax income AMOUNT (in billion rand) 1370 242.7 180.3 31.5 EXPENDITURE SECTOR Social Development Basic Education Health Peace and safety Economic development Community Development Debt service cost AMOUNT (in billion rand) Further Education and Training Other 278.4 262.4 222.6 211.0 209.2 208.5 202.2 APRIL 2021 112.7 B 1823.72 TOTAL A Write the amount received from loans as a number in millions (1) (3) (3) Calculate the missing value A Calculate the missing value B. Show ALL calculations. Determine the amount allocated for Community Development as a percentage of the total expenditure. (4)
The amount received from loans as a number in millions is 242,700 million rand.
How to calculate the valueDeducing value A requires computation of collective income sources, for which the following summation suffices:
Total Income = Tax + Loans + ASC + QP + Other income + Non-tax income = 1370 + 242.7 + 180.3 + 31.5 + A + 0 = 1825.5 + A
In this context, it follows that A amounts to (1825.5 - 1370 - 242.7 - 180.3 - 31.5) = 0 million rand.
Conversely determining missing value B necessitates subtraction of total expenditure from accumulated revenue, giving rise to the subsequent formula:
Total Income - Total Expenditure = B
(1825.5 - 112.7 - 278.4 - 262.4 - 222.6 - 211.0 - 209.2 - 208.5 - 202.2 - 0) = B
Following calculation, B equates to -77.1 million rand, indicating an overage in expenses during fiscal year 2019/20.
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Answer this please for 15 points
Answer:
18/2 : 9
Step-by-step explanation:
The equation and table shows were two boys pay for gym fees compare the rate of change and initial value for each function
Alfredo month 0 1 2 3 Alex C=25+10m, where
Cost 20 30 40 50 C= cost in dollars and
M= number of months.
The equation is an illustration of a linear function
The rate of change is 10 and the initial value is 25
How to determine the rate of change and the initial valueThe equation is given as:
\(C = 25 + 10m\)
A linear equation is represented as:
\(y = b + mx\)
Where:
b represents the initial valuem represents the rateBy comparison:
b = 25
m = 10
Hence, the rate of change is 10 and the initial value is 25
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Will the three sides 4 inches 5 inches and 7 inches from a triangle
Answer:
yes
Step-by-step explanation:
the sum of any 2 sides is greater than the
Complete the sentence. The solutions of 0 = |4x + 2| −10 are x = −2 and x = −3. x = −2 and x = 3. x = 2 and x = −3. x = 2 and x = 3.
Answer:
x = 2 and x = −3.
Step-by-step explanation
i solved it
En la final de un concurso escolar de
matemática participan 6 alumnos de los
cuales 3 son alumnos del colegio A. Si se
premia a los dos primeros con regalos
diferentes, entonces la probabilidad de que
los alumnos del colegio A obtengan los dos
premios (no hay empates), es:
Usando la distribución hipergeométrica, la probabilidad de que los alumnos del colegio A obtengan los dos premios (no hay empates), es: 0.2 = 20%.
¿Qué es la fórmula de distribución hipergeométrica?La fórmula es:
\(P(X = x) = h(x,N,n,k) = \frac{C_{k,x}C_{N-k,n-x}}{C_{N,n}}\)
\(C_{n,x} = \frac{n!}{x!(n-x)!}\)
Los parámetros son:
x es el número de éxitos.N es el tamaño de la población.n es el tamaño de la muestra.k es el número total de resultados deseados.Los valores de los parámetros son:
N = 6, k = 3, n = 2.
La probabilidad de que los alumnos del colegio A obtengan los dos premios (no hay empates), es P(X = 2), por eso:
\(P(X = x) = h(x,N,n,k) = \frac{C_{k,x}C_{N-k,n-x}}{C_{N,n}}\)
\(P(X = 2) = h(2,6,2,3) = \frac{C_{3,2}C_{3,0}}{C_{6,2}} = 0.2\)
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In a normal distribution, a Z score of 1.96 tells us what? A) how many standard deviations from the mean a sample mean is located B) we need to increase our sample size C) the sample size D) the variance
In a normal distribution, a z-score of 1.96 tells us what?
A z-score basically tells us how many standard deviations away a data point is from the mean.
A z-score of 1.96 corresponds to the 95% percentile.
This means that 95% of the area under the curve lies within 1.96 standard deviations away from the mean.
Therefore, the correct option is A.
A) how many standard deviations from the mean a sample mean is located
Jill wants to find the quotient. Use multiplication and the Distributive
Property to help Jill find the quotient.
Answer:
kain ka muna kapatid
baka gutom kana e
Consider the statement n2 + 1 ≥ 2n where n is an integer in [1, 4].
Identify the n values for which the equation is to be verified in order to prove the given statement.
(You must provide an answer before moving to the next part.)
Consider the statement that min(a, min(b, c)) = min(min(a, b), c) whenever a, b, and c are real numbers.
Click and drag the steps to prove min(a, min(b, c)) = min(min(a, b), c) whenever a, b, and c are real numbers. Assume a is the smallest real number.
(Note: In your proof, consider the left side of the equation first.)
Both sides of the equation simplify to a, and we can conclude that min(a, min(b, c)) = min(min(a, b), c) is true for all real numbers a, b, and c where a is the smallest.
One way to do this is through mathematical induction, which involves proving a statement for a specific set of values and then showing that it holds true for all other values. In this exercise, we will apply this method to prove two statements involving integers and real numbers.
Statement involving integers:
The given statement is n² + 1 ≥ 2n, where n is an integer in the range [1, 4]. In order to prove this statement, we need to verify it for all values of n in this range. We start with n = 1, which gives us 1² + 1 ≥ 2(1), or 2 ≥ 2. This is true, so we move on to n = 2, which gives us 2² + 1 ≥ 2(2), or 5 ≥ 4. This is also true. Continuing in this manner, we can verify that the statement is true for all values of n in the given range. Therefore, we can conclude that n² + 1 ≥ 2n is true for all integers in the range [1, 4].
Statement involving real numbers:
The given statement is min(a, min(b, c)) = min(min(a, b), c), where a, b, and c are real numbers and we assume that a is the smallest of the three. To prove this statement, we start with the left-hand side and simplify it using the assumption that a is the smallest real number:
min(a, min(b, c)) = min(a, b) if a ≤ b, otherwise min(a, b) = a
= min(min(a, b), c) if a ≤ min(a, b), otherwise min(min(a, b), c) = a
Next, we move on to the right-hand side of the equation and simplify it:
min(min(a, b), c) = min(a, c) if a ≤ c, otherwise min(a, c) = a
Since we assumed that a is the smallest real number, we know that a ≤ b and a ≤ c.
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Stuck on question number 3
Answer:90
Step-by-step explanation:
WILL GIVE BRAINLST
ANSWER PLSS
Answer:
3. b. y = ⅝x - ½
4. b. y = ⁵/2x + ½
Step-by-step explanation:
Recall: Slope-intercept form of equation is given as y = mx + b
Where, m = slope, and b = y-intercept.
To find the equation of each line, we must first find the b and m of each graph.
3. Slope of the line using two points on the line, (4, 2) and (-4, -3):
Slope = change in y/change in x = (-3 - 2)/(-4 - 4) = -5/-8 = ⅝
Slope (m) = ⅝
To find y-intercept (b), substitute m = ⅝, and (x, y) = (4, 2) into y = mx + b. Thus:
2 = ⅝(4) + b
2 = ⁵/2 + b
2 - ⁵/2 = b
b = (4 - 5)/2
b = -½
To write the equation, substitute m = ⅝ and b = -½ into y = mx + b
y = ⅝x + (-½)
y = ⅝x - ½
4. Slope of the line using two points on the line, (1, 3) and (-1, -2):
Slope = change in y/change in x = (-2 - 3)/(-1 - 1) = -5/-2 = ⁵/2
Slope (m) = ⁵/2
To find y-intercept (b), substitute m = ⁵/2, and (x, y) = (1, 3) into y = mx + b. Thus:
3 = ⁵/2(1) + b
3 = ⁵/2 + b
3 - ⁵/2 = b
b = ½
b = ½
To write the equation, substitute m = ⁵/2 and b = ½ into y = mx + b
y = ⁵/2x + ½
One hundred teenagers are sampled at random about how much time (in hours) they spend doing homework on a given night. The results are displayed in the graph below. Predict about how many teenagers out of 250,000 would spend 1 hour doing homework on a given night.
image 0db1c5215f1e4d9997025234b7f1621f
Answer:107,500
Step-by-step explanation:
250,000/100=2500
2500*43=107,500
The number of 107500 teenagers out of 250,000 would spend 1 hour doing homework on a given night.
What is a percentage?A ratio or value that may be stated as a fraction of 100 is called a percentage. And it is represented by the symbol '%'.
Given:
One hundred teenagers are sampled at random about how much time (in hours) they spend doing homework on a given night.
The results are displayed in the graph below.
To find the number of teenagers:
Apply the percentage formula,
43% of 250,000
= 0.43 x 250000
= 107500
Therefore, the required number of teenagers are 107500.
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Solve for x.
37°
8 cm
x = [?] cm
X
Round to the nearest hundredth.
X
The measure of side length x in the right triangle is approximately 6.03 cm.
What is the measure of side length x?The figure in the image is a right triangle having one of its interior angle at 90 degrees.
From the figure:
Angle θ = 37 degrees
Adjacent to angle θ = 8 cm
Opposite to angle θ = x
To solve for the missing side length x, we use the trigonometric ratio.
Note that: tangent = opposite / adjacent
Hence:
tan( θ ) = opposite / adjacent
Plug in the given values and solve for x:
tan( 37 ) = x / 8
x = tan( 37 ) × 8
x = 6.03 cm
Therefore, the value of x is 6.03 cm.
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Naomi's electricity costs depend on the number of kilowatt hours she uses, as shown in the graph below. According to this graph, which expression can be used to calculate her electricity cost after using x kilowatt hours?
A. 0.06x + 40
B. 0.08x + 20
C. 0.1x + 10
D. 0.12x
Answer:
b. 0.08x + 20
Step-by-step explanation:
its B because the price goes up $40 every 500 KW's so
40 divided by 500 = 0.08
The expression used to calculate Naomi's electricity cost after using x kilowatt hours is 0.08x+20. Therefore, option B is the correct answer.
What is an expression?An expression is a combination of terms that are combined by using mathematical operations such as subtraction, addition, multiplication, and division.
From the graph we have, (500, 60), (1000, 100), (1500, 140) and (2000, 180).
We know that, slope of a line is Slope=(y2-y1)/(x2-x1)
= (100-60)/500
= 40/500
= 0.08
Substitute m=0.08 and (x, y)=(500, 60) in y=mx+c, we get
60=0.08(500)+c
60=40+c
c=20
Substitute m=0.08 and c=20 in y=mx+c, we get
y=0.08x+20
The expression used to calculate Naomi's electricity cost after using x kilowatt hours is 0.08x+20. Therefore, option B is the correct answer.
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A manufacturer of rectangular tarpaulins uses the
following combined function to calculate the total area of
different sizes of tarpaulins, where x varies according to
the particular product line.
h(x) = x2 + 10x + 21
Answer:
f(x) = x + 7 and g(x) = x + 3
Step-by-step explanation:
consider the verizon data. find a 95% ci for the ratio of medians. estimate the percent bias (relative to the standard error) and compare with the results for the ratio of means
95% confidence interval for the ratio of medians is a range of values that we are confident contains the true population ratio, with a specified level of confidence.
A confidence interval is a range of values that we are confident contains the true population parameter, with a specified level of confidence. In this case, we are looking at the ratio of medians in the Verizon data and finding a 95% confidence interval for the ratio.
Let's say the sample median for the first data set is M1 and the sample median for the second data set is M2. The standard error for M1 and M2 can be calculated using the formula for the standard error of the median.
Next, we use the formula for a confidence interval for the ratio of medians:
=> (M1/M2) +/- (Z * SE(M1/M2)),
where Z is the critical value from a standard normal distribution for a 95% confidence level.
The percent bias is the difference between the estimated value and the true value, divided by the true value and expressed as a percentage. In this case, we will calculate the percent bias of the confidence interval for the ratio of medians relative to the standard error.
Finally, we compare the results for the ratio of medians with the results for the ratio of means. This comparison can give us an idea of the difference in the level of accuracy and precision between the two estimates.
Complete Question:
Consider the Verizon data. find a 95% confidence interval for the ratio of medians. estimate the percent bias (relative to the standard error) and compare with the results for the ratio of means
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Write a slope-intercept equation for a line that passes through (-2,1) and (3,-14).
In how many zeros does 75! end?
which expression can you use to find the probability that the spinner lands on 1 or 4
The probability for the given case is 1/3.
What is probability?Probability is the branch of Mathematics that deals with the measurement of the chance of occurrence of a random event.
The probability of any event always lie in the close interval of 0 and 1 [0,1].
A spinner has numbers indicated on it from one to six.
Suppose A be the event spinner lands on 1.
And, B be the event the spinner land on 4.
Now, the probability of any event is the ratio of number of favorable outcome to the total number of outcomes which is given as,
P(A) = 1/6
And, P(B) = 1/6
Thus, the probability of event A or B is given as,
P(A or B) = P(A) + P(B)
= 1/6 + 1/6
= 1/3
Hence, the probability that the spinner lands on 1 or 4 is 1/3.
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Please help me solve this
Answer:
Step-by-step explanation:
9
I need help with this question... which one is the correct choice
A reflection followed by a rotation
Explanations:Coordinates of ABCD
A(-8, 6), B(-2, 6), C(-2, 4), D(-8, 4)
Coordinates of A'B'C'D'
A'(-8, -6), B(-2, -6), C'(-2, -4), D'(-8, -4)
The rule of transformation from ABCD to A'B'C'D' is (x y)→(x −y)
Therefore, ABCD was reflected across the x-axis to form A'B'C'D'
Coordinates of A"B"C"D"
A"(6, -8), B"(6, -2), C"(4, -2), D"(4, -8)
The rule of transformation from A'B'C'D' to A"B"C"D" is (x y)→(-y, x)
Therefore, A'B'C'D' was rotated clockwise by 270° to form A"B"C"D"
The sequence of transformation is therefore a reflection followed by a rotation
can someone help me please
Answer:
B is the answer
Step-by-step explanation:
(10×2 +1/2)÷(2×4+1/4)
(21/2)÷(9/4)
Then calculate it and the answer is B
if the coefficient a in the general quadratic equation is equal to 9, what is the focal length for
the parabola, c’,equal to?
The focal length of the parabola whose coefficient a is equal to 9, is 1/36.
What is focal length?
In a two-dimensional plane, a parabola is a curve that is symmetrical about the axes, passes through the vertex, and is perpendicular to the directrix. In other words, the locus of points that are equally spaced apart from the directrix and the fixed point, let's call it focus, is a parabola. The distance along the axis of symmetry from the vertex to the focus of the parabola is known as its focal length.
The focal length of a parabola is calculated as c' = 1/4a
In the given question, c' is the focal length and the coefficient a is the general quadratic equation and a=9.
Substituting the above values, in the focal length equation, we get,
c' = 1/(4*9)
⇒ c' = 1/36
Hence, the focal length of the parabola whose coefficient a is equal to 9, is 1/36.
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Does the function ƒ(x) = (1∕2) + 25 represent exponential growth, decay, or neither?
A) Exponential growth
B) Impossible to determine with the information given.
C) Neither
D) Exponential decay
Answer:
A) Exponential growth
Step-by-step explanation:
An architect creates a blueprint using a scale of 1 inch = 3.5 ft. If the actual
length of a patio is 21 feet, how long will the patio's length appear in the
blueprint?
O 6 inches
O 7 inches
O 17.5 inches
O 73.5 inches
6 inches will be the length of the patio.
According to the scale, 1 inch on the plan corresponds to 3.5 feet in real life.
We must convert the patio's real length of 21 feet to inches using the scale in order to determine how long it would look on the blueprint:
3.5 feet to one inch
21 feet in x inches
If we cross-multiply, we obtain:
1 inch/3.5 feet * 21 feet
= x inches
= 6 inches.
As a result, the length of the patio will be indicated on the blueprint as 6 inches.
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PLEASE HELP!! WORTH 69 POINTS
Answer: is 14 square feet bro
Step-by-step explanatio
Answer:
look at the picture i have sent. thanks for the points
What is quardtric form
Answer:
445
Step-by-step explanation:
A 2015 Gallup poll of 1,627 adults found that only 22% felt fully engaged with their mortgage provider.
What is the sample size? Give only the number:
The margin of error for this data set is 2.5%. What is the 95% confidence interval for those who say they felt fully engaged with their mortgage provider (rounded to 1 decimal place)?
The sample size for the Gallup poll is 1,627 adults. The 95% confidence interval for those who say they felt fully engaged with their mortgage provider is approximately 22.0% (rounded to 1 decimal place).
To calculate the 95% confidence interval, we need to consider the margin of error. The margin of error is given as 2.5%, which means that we need to account for plus or minus 2.5% around the observed proportion of 22%.
First, let's calculate the margin of error:
Margin of Error = 2.5% of 22% = 0.025 * 22% = 0.0055
Next, we can calculate the lower and upper bounds of the confidence interval:
Lower Bound = 22% - Margin of Error = 22% - 0.0055 = 21.995% ≈ 22.0%
Upper Bound = 22% + Margin of Error = 22% + 0.0055 = 22.005% ≈ 22.0%
Therefore, the 95% confidence interval for those who say they felt fully engaged with their mortgage provider is approximately 22.0% (rounded to 1 decimal place).
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