the probability that a randomly selected household with a savings account has no checking account is
Answers
The probability that a randomly selected household with a savings account has no checking account is approximately 0.149, or 14.9%.
To compute the probability that a randomly selected household with a savings account has no checking account, we can use Bayes' theorem. Let S denote the event that a household has a savings account, and C denote the event that a household has no checking account.
We want to find P(C | S), the probability that a household with a savings account has no checking account.
Using Bayes' theorem, we have:
P(C | S) = P(S | C) * P(C) / P(S)
We know that 40% of households with no checking accounts have savings accounts, so P(S | C) = 0.4. We also know that 21.5% of households have no checking accounts, 66.9% have regular checking accounts, and 11.6% have NOW accounts, so P(C) = 0.215.
Finally, we can use the law of total probability to find P(S), the overall probability of a household having a savings account:
P(S) = P(S | C) * P(C) + P(S | regular checking) * P(regular checking) + P(S | NOW) * P(NOW)
= 0.4 * 0.215 + 0.716 * 0.669 + 0.793 * 0.116
≈ 0.576
Substituting these values into the equation for Bayes' theorem, we get:
P(C | S) = 0.4 * 0.215 / 0.576
≈ 0.149
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Complete question is:
A survey revealed that 21.5% of the households had no checking account, 66.9% had regular checking accounts, and 11.6% had NOW accounts. Of those households with no checking account 40% had savings accounts. Of the households with regular checking accounts 71.6% had a savings account. Of the households with NOW accounts 79.3% had savings accounts.
Compute the probability that a randomly selected household with a savings account has no checking account.
Related Questions
A line with a slope of 0 passes through the point (9, 8). What is its equation in slope-intercept form?
Answers
Answer: y = 0x + 8
Step-by-step explanation:
The slope-intercept form is y=mx + b
The slope is 0, and y-intercept is at (0,8)
So our equation is
y = 0x + 8
Please help me I need help asap
Answers
Answer:
15w = 165
The product of 15 and 165 is w
a = 6
h = 35
m = 4
x = 14
x = 15
x = 9
y = 1
t = 3
Step-by-step explanation:
3 + a = 9 -> a = 6
h - 8 = 27 -> h = 35
12m = 48 -> m = 4
x/7 = 2 -> x = 14
3x + 9 = 54 -> 3x = 45 -> x = 15
x/3 - 2 = 1 -> x/3 = 3 -> x = 9
2(1/3y + 2/6) = 12/9 -> 2/3y + 4/6 = 12/9, make them the same denominator -> 2/3y + 2/3 = 4/3 -> 2/3y = 2/3 -> y = 1
6.1(t - 5) = -12.2(4 - t) -> 6.1t - 30.5 = -48.8 + 12.2t -> -6.1t = -18.3 -> t = 3
phythegorean theorem
Answers
Answer: 6.782
Step-by-step explanation:
Susan paints a stack of 30 blocks in a pattern. Starting from the bottom, she paints every 3rd block red and every 5th block green. Wherever red and green land on the same block, she paints that block yellow.
The 3rd block from the bottom that is painted green is how many blocks up from the bottom?
Answers
Answer:
20 blocks
Step-by-step explanation:
Solve for the nearest tenth
Solve for the missing side
Answers
Answer:
\(\Huge\boxed{x=11.8}\)
Step-by-step explanation:
Hello There
cos = adjacent divided by hypotenuse
the adjacent side of the angle that has a measure of 49 is x and the hypotenuse is 18
so
\(cos49=\frac{x}{18}\)
once again we want to isolate the variable using inverse operations
to get rid of the 18 we multiply each side by 18
\(\frac{x}{18} *=x\\cos49*18=18cos49\)
we're left with
\(x=18cos49\)
now we let the calculator do the rest of the work
we end up with
\(x=11.80906252\)
our final step would be to round to the nearest tenth
so we can conclude that the x = 11.8
What is two rays sharing a common endpoint?A)angleB)circleC)triangleD)line segment
Answers
An angle is the two rays sharing a common endpoint.
What is an angle in math?An angle is a figure in Euclidean geometry made up of two rays that share a common terminal and are referred to as the angle's sides and vertices, respectively. Angles created by two rays are in the plane where the rays are located. The meeting of two planes also creates angles. We refer to these as dihedral angles.An angle is a figure in plane geometry that is created by two rays or lines that have a shared endpoint. A pair of rays (half-lines) with a shared terminal are combined to form an angle. The latter is referred to as the angle's vertex, and the rays are sometimes referred to as the angle's legs and other times as its arms.Learn more about an angle refer to ;
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the length of the shadow of a bulding.is 15m. the distance from the top of the building to the tip of the shadow is 25m find the height of the building if nessesart round your answer to the nearest tenth
Answers
So on solving the provided question we can say that in the equation 15x - y = 25; x = 24/15
What is equation?An equation is a mathematical formula that connects two assertions using the equal sign (=) to denote equivalence. In algebra, an equation is a mathematical statement that establishes the equivalence of two mathematical expressions. For instance, an equal sign separates the components 3x + 5 and 14 in the equation 3x + 5 = 14. A mathematical formula is used to explain the connection between two sentences on either side of a letter. Frequently, there is just one variable, which is also the symbol. for example, 2x - 4 = 2.
here,
15x - y = 25
so from provided data we have y = 1
15x - 1 = 25
15x = 24
x = 24/15
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Leo has two cylindrical tanks that he uses on his farm to store gasoline. One tank holds regular gas, and the other holds diesel fuel.
(A) What is the price per cubic foot given the gasoline tank cost $12,250.71 to fill up? Use 3.14 for pi. Show your work.
(B) What is the price per cubic foot given the diesel tank cost $19,075.50 to fill up? Use 3.14 for pi. Show your work.
(C) Which tank has the lowest cost per cubic unit?
Pls explain how you found the answer. TYYY
Answers
Answer:
I think Tank A has the lowest cost per cubic unit.
Step-by-step explanation:
To find the lowest cost per cubit unit for each tank you first need to find the volume of each cylinder. V=πr2h
Tank A
V=(3.14) 17^2 x 3
V= 2722.38
Now to find the cost per cubit unit put the price for how much the gasoline tank cost over the volume.
12,250.71/2722.38 This equals 4.5
Tank B
V= (3.14) 15^2 x 5
V=3532.5
Now to find the cost per cubit unit put the price for how much the diesel tank cost over the volume.
19,075.50/3532.5 This now equals 5.4
A fish tank is 1/4 full of water Harry pours a 400ml glass of water into the fish tank.
Given 1ml = 1cm3
What will the depth of the water of the fish tank then be
Answers
The depth of the water of the fish tank based on the mentioned details and after addition of glass of water will be 4150 ml.
Firstly calculating the volume of the fish tank to find the total amount of water it can contain.
Volume = length × breadth × height
Keep the values in formula
Volume = 25 × 20 × 30
Performing multiplication
Volume = 15000
Amount of water in fish tank = 15000×1/4
Amount of water in fish tank = 3750 ml
Amount of water added = 3750 + 400
Amount of water added = 4150 ml
So, the depth of the water will be 4150 ml.
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The complete question is attached in the figure.
Build a deterministic FA M
3
for the following language L
3
=L(M
3
)={x over {a,b,c}∣x has strictly more than 3c symbols and does not end in c} For example, abcca ∈
/
L
3
and bacccc ∈
/
L
3
, but cccca ∈L
3
and acbcaaabcccb ∈L
3
.
Answers
The deterministic finite automaton (DFA) M3 for the language L3, where strings have more than 3 'c' symbols and do not end in 'c', is designed with states q0, q1, q2, q3, and q4. Transitions and loops are created to determine acceptance.
To build a deterministic finite automaton (DFA) for the language L3 = {x ∈ {a, b, c}* | x has strictly more than 3 'c' symbols and does not end in 'c'}, we can design the following DFA M3:1. Start with an initial state q0.
2. Create a loop on q0 for 'a', 'b', and 'c' inputs, leading back to q0.
3. From q0, transition to a state q1 on input 'c'. This represents the first 'c' encountered.
4. From q1, create a loop for 'a' and 'b' inputs, leading back to q1.
5. Transition from q1 to q2 on input 'c'. This represents the second 'c' encountered.
6. Similarly, create a loop on q2 for 'a' and 'b' inputs, leading back to q2.
7. Transition from q2 to q3 on input 'c'. This represents the third 'c' encountered.
8. From q3, create a loop for 'a', 'b', and 'c' inputs, leading back to q3.
9. Create a final accepting state q4 and transition from q3 to q4 on 'a' or 'b' inputs.
In this DFA, any string that ends with 'c' or has less than three 'c' symbols will not reach the accepting state q4, hence not belonging to L3.
Therefore, The deterministic finite automaton (DFA) M3 for the language L3, where strings have more than 3 'c' symbols and do not end in 'c', is designed with states q0, q1, q2, q3, and q4. Transitions and loops are created to determine acceptance.
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will actually give brainliest to the right answer pls help
Answers
The equation of the line in slope-intercept form with a y-intercept at (0, -2) and a slope of -2 is y = -2x - 2.
How to solve for the equation of the lineThe slope-intercept form of a linear equation is given by y = mx + b, where m represents the slope and b represents the y-intercept.
Given that the y-intercept is (0, -2) and the slope is -2, we can substitute these values into the equation.
The y-intercept (b) is -2, which means that when x = 0, y = -2.
Therefore, the equation becomes:
y = -2x - 2
So, the equation of the line in slope-intercept form with a y-intercept at (0, -2) and a slope of -2 is y = -2x - 2.
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Which of the following expressions will produce an answer with three significant figures?100 - 83.4101 ÷ 3.752.45 + 18.310 * 1.5
Answers
We want to know which of the given expressions will produce an answer with three significant figures. That is, it has an answer with three nonzero numbers.
Let us find the values to know
\(\begin{gathered} 100-83.4=16.6 \\ \text{YES, IT PRODUCES AN ANSWER WITH THREE SIGNIFICANT FIGURES} \end{gathered}\)\(\begin{gathered} \frac{101}{3.75}=26.9333\ldots \\ \\ \text{IT PRODUCES AN ANSWER WITH MORE THAN THREE SIGNIFICANT FIGURES} \end{gathered}\)\(\begin{gathered} 2.45+18.3=20.75 \\ \text{YES, IT PRODUCES AN ANSWER WITH THREE SIGNIFICANT FIGURES} \end{gathered}\)\(\begin{gathered} 10\times1.5=15 \\ NO\text{, IT DOES NOT PRODUCES AN ANSWER WITH THREE SIGNIFICANT FIGURES} \end{gathered}\)a sample obtained in such a way that every element in the population has an equal chance of being selected is called a/an _______ sample.
Answers
The correct term for a sample obtained in such a way that every element in the population has an equal chance of being selected is a "random sample."
In a random sample, each member of the population has an equal probability of being chosen, providing a representative subset of the population. This sampling method helps to reduce bias and ensures that the sample is more likely to accurately reflect the characteristics of the entire population.
Random sampling is a fundamental principle in statistics and research, allowing for generalizations and inferences to be made about the population based on the characteristics observed in the sample. It is widely used in various fields, such as social sciences, market research, and opinion polls, to draw meaningful conclusions about a larger population.
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a numerical value that measures the likelihood of an uncertain event is a ______.
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A term that describes a numerical value measuring the likelihood of an uncertain event is - a probability.
A probability is a numerical value that measures the likelihood of an uncertain event occurring.
It ranges from 0 (impossible event) to 1 (certain event), with values in between representing the varying degrees of likelihood.
To calculate the probability of an event, you can divide the number of favorable outcomes by the total number of possible outcomes in a given scenario.
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Five employees are available to perform four jobs. The lime it takes each person to perform each job is given in Table 50. Determine the assignment of employees to jobs that minimizes the total time required to perform the four jobs.
TABLE 50
Person
Time (hours)
Job 1
Job 2
Job 3
Job 4
1
22
18
30
18
2
18
—
27
22
3
26
20
28
28
4
16
22
—
14
5
21
—
25
28
Answers
To determine the assignment of employees to jobs that minimizes the total time required to perform the four jobs, we need to consider the time taken by each person to complete each job. Using the given Table 50, we can analyze the data and identify the optimal assignment.
By examining Table 50, we can identify the minimum time taken by each person for each job. Starting with Job 1, we see that Person 4 takes the least time of 16 hours. Moving to Job 2, Person 2 takes the least time of 18 hours. For Job 3, Person 1 takes the least time of 25 hours. Lastly, for Job 4, Person 4 takes the least time of 14 hours.
Therefore, the optimal assignment would be:
- Person 4 for Job 1 (16 hours)
- Person 2 for Job 2 (18 hours)
- Person 1 for Job 3 (25 hours)
- Person 4 for Job 4 (14 hours)
This assignment ensures that the minimum total time is required to perform the four jobs, resulting in a total time of 16 + 18 + 25 + 14 = 73 hours.
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The diameter of ball bearing are ditributed normally. The mean diameter i 81 millimeter and the variance i 16. Find the probability that the diameter of a elected bearing i greater than 85 millimeter. Round your anwer to four decimal place
Answers
the probability that the diameter of a elected bearing is greater than 85 millimeter P(diameter > 85) = P(z > (85-81)/4) = P(z > 1) = 0.1587
The diameter of ball bearings is normally distributed, with a mean of 81 millimeters and a variance of 16.
To calculate the probability that a selected bearing has a diameter greater than 85 millimeters, we first calculate the z-score for 85 millimeters.
We subtract 81 from 85 to get 4, and divide by 4 to get 1 for the z-score.
We the look up the probability for a value of 1 in the z-table, which is 0.1587.
This is the probability that a selected bearing has a diameter greater than 85 millimeters, rounded to four decimal places.
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Howard earned $48 in interest after saving for 3 years at a simple annual interest rate of 2%. How much did Howard originally deposit?A.$288B.$400C.$800D.$1200
Answers
The original deposit made by Howard was $2,400.
To find the original deposit made by Howard, we can use the formula for simple interest:
Interest = Principal x Rate x Time
Given that Howard earned $48 in interest, the interest can be expressed as:
48 = Principal x 0.02 x 3
To find the principal, we can rearrange the formula:
Principal = Interest / (Rate x Time)
Substituting the values:
Principal = 48 / (0.02 x 3)
Principal = 48 / 0.06
Principal = 800
Therefore, the original deposit made by Howard was $800 (option C).
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\( \sqrt{3x + 13} = \sqrt{6x + 1} \)
3х + 13 = 6х +1
Answers
Step-by-step explanation:
hope it is helpful to you
![[tex] \sqrt{3x + 13} = \sqrt{6x + 1} [/tex]3 + 13 = 6 +1](https://i5t5.c14.e2-1.dev/h-images-qa/answers/attachments/Xjc19AoqFsS7tWcDwO6M9Tuw9gfKnAoI.jpeg)
Answer:
solution given;
\( \sqrt{3x + 13} = \sqrt{6x + 1} \)
3х + 13 = 6х +1
13-1=6x-3x
3x=12
x=\( \frac{12}{3} \)=4
x=4
Which set of three numbers can be used to make a right triangle?
Group of answer choices
4, 5, 6
3, 4, 5
5, 6, 7
Answers
Answer:
3, 4, 5
Step-by-step explanation:
\(a^{2} + b^{2} = c^{2}\)
\(3^{2} + 4^{2} = 5^{2}\)
9+16=25
25=25
Type the number in scientific notation
97,040,000
PLSSS HELP IM FAILING
Answers
HELP PLEASE, WILL GIVE BRAINLIEST A rectangle has a base of 5 inches and a height of 7 inches. If the dimensions are cut in half, what will happen to the perimeter of the rectangle?
It will be half of the original size.
It will be two times the original size.
It will be one-fourth the original size.
It will be the same as the original size.
Answers
Answer: It will be one-fourth (1/4) the original size.
Hope this helps!
Please Rate! It helps me know if I am explaining the answer well enough or not! Thanks!
A recipe calls for 1/3/4 cups of sugar. The recipe requires 3/4 cup more flour than sugar and 1/2 cup less butter than sugar.
Answers
Answer:
what is the question??
Anita is making a curtain to surround a table. she bought 3 1/4 yards of fabric. her total cost was $13 what was the cost per yard
Answers
The total cost of fabric per yard is $4.
What exactly do we mean by mathematical operations?A mathematical "operation" is the process of calculating a value using operands and a math operator.There are predefined rules associated with the math operator's symbol that must be applied to the supplied operands or numbers.The arithmetic operators perform the operations of addition, subtraction, multiplication, division, exponentiation, and modulus.So, the cost of the fabric per yard is:
3¼ ÷ 13(12+1)/4 ÷ 1313/4 ÷ 13/113/4 × 1/13 (Cancel 13)$4
Therefore, the total cost of fabric per yard is $4.
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WILL GIVE BRAINLIEST PLZ HURRY!!!!!
Aida bought a costume box containing 50 costumes for $300. She sold all of the costumes and made a $250 profit. She sold all of the costumes for the same price. Use the equation 50c−300=250, where c is the selling price of each costume. What was the selling price of one costume in dollars?
Answers
Answer:
Step-by-step explanation:
11
Write a scheme function (tribonacci n). The tribonacci numbers Ti are defined as T0 = T1 = 0, T2 = 1, and TN = TN-1 + TN-2 + TN-3. (tribonacci n) should return Tn. tribonacci and any helper functions must be tail recursive.
Answers
It calls itself with b, c, and a+b+c as the new values for a, b, and c, respectively, and decrements n by one.
Here's a tail-recursive implementation of the tribonacci function in Scheme:
(define (tribonacci n)
(define (tribonacci-helper a b c n)
(if (= n 0)
a
(tribonacci-helper b c (+ a b c) (- n 1))))
(tribonacci-helper 0 0 1 n))
The tribonacci-helper function is tail-recursive, meaning that the final calculation is the recursive call, and no additional work needs to be done after the recursive call returns. The tribonacci-helper function takes four arguments: a, b, c, and n. a, b, and c represent the previous three tribonacci numbers, and n is the current index being calculated. The function checks if n is zero. If so, it returns the current value of a, which will be the tribonacci number for index n. Otherwise, it calls itself with b, c, and a+b+c as the new values for a, b, and c, respectively, and decrements n by one.
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5. A clothing store had all their clearance items 50% off and then offered a 25% coupon to the first 50 customers that entered the store that day. If John Luke was one of the 50 customers, how much would he pay for a shirt that was originally $26.54?
Answers
Answer:
6.63
Step-by-step explanation:
This is the answer because 26.54 - 75 %
=6.63
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The reflectance curve is a plot of the light reflected off a surface as a function of _____.
a. spatial frequency
b. contrast
c. wavelength
d. orientation
Answers
Please help 20 pointssssss
Answers
What is 7(3x - 6)????
Answers
Answer:
21x - 42
Step-by-step explanation:
7(3x - 6)
21x - 42
You disperse your 7 to the 3x and the 6.
Consider a standard deck of 52 playing cards with 4 suits. If A is the event of drawing a 6 from the deck, and B is the event of drawing a black playing card from the deck, what is the intersection of A and B? (Remember that the black cards are spades and clubs.)
Answers
Answer: Intersection of A and B = 2
Step-by-step explanation:
Total cards = 52
Let A is the event of drawing a 6 from the deck, and B is the event of drawing a black playing card from the deck.
Total cards having 6 on them = 4
[There are 4 suits of two different colors red and black.]
Total black playing card =26
Intersection of A and B = Black cards having 6 = 2
hence, Intersection of A and B = 2