Mark each statement True or False.
1. The equation Ax = b is referred to as a vector equation.
A. True
B. False
2. A vector b is a linear combination of the columns of a matrix A if and only if the equation Ax = b has at least one solution.
A. True
B. False
3. The equation Ax = b is consistent if the augmented matrix [A b] has a pivot position in every row.
A. True
B. False
4. The first entry in the product Ax is a sum of products.
A. True
B. False
5. If the columns of an m x n matrix A span Rm, then the equation Ax = b is consistent for each b in Rm.
A. True
B. False
Answer:
True
Step-by-step explanation:
False
True
False
True
True
20% of __________ is 21. PLS HELP
Answer:
105
Step-by-step explanation:
0.2(x)=21
x=21/0.2
x=105
In applications, we consider any event that has below 5% chance. Pick a card from a standard deck of 52 cards. A=The card is an Ace. B = The card is Spade Ace. Is this likely to occur or not?
Answer:
Step-by-step explanation:
P(A) = 4/52 = 0.07692 which is bigger than 5%
5% = 0.05
0.07 is above 5% which is surprising.
The P(Spade A) = 1/52 = 0.01923 which is under 2% which meets your criteria.
given that a=15cm and b= 8cm work out x
Answer:
Literally do a^2+b^2=x^2 and solve for x
Please help! Just Answer if you know how to do it please . No wrong answers . Thank you.
Answer:
42
Step-by-step explanation:
A maintenance firm has gathered the following information regarding the failure mechanisms for air conditioningsystems:
Yes No
Evidence of electrical failure Yes 55 17
Electrical failure No 32 3
The units without evidence of gas leaks or electrical failure showed other types of failure. If this is a representative sample of AC failure, find the probability.
a. That failure involves a gas leak
b. That there is evidence of electrical failure given that there was a gas leak
c. That there is evidence of a gas leak given that there is evidence of electrical failure
Answer:
A) 0.8131 ≈ 0.81
B) 0.6322 ≈ 0.63
C) 0.7639 ≈ 0.77
Step-by-step explanation:
A)
Total number of units
= 55 + 32 + 17 + 3
= 107
hence the probability that the failure involves a gas leak
= ( 55 + 32 ) / 107
= 0.8131
B) probability that there is evidence of electrical failure given tat there is a gas leak
P ( A / B ) = [tex]\frac{P(A n B)}{P(B)}[/tex]
P( A∩B ) = 55/107 = 0.5140
P ( B ) = ( 55 + 32 ) / 107 = 0.8131
hence P ( A / B ) = 0.5140 / 0.8131 = 0.6322
A = failure due to electrical
B = failure due to gas leak
C) Probability of a gas leak given that there is evidence of electrical failure
P ( B / A ) = [tex]\frac{P(BnA)}{P(A)}[/tex]
P ( B ∩ A ) = 0.5140
P( A ) = ( 55 + 17 ) / 107 = 0.6729
hence P ( B / A ) = 0.5140 / 0.6729 = 0.7639
Cassidy is planning to obtain a loan from her bank for $210,000 for a new home. The bank has approved Cassidy's loan at a fixed annual interest rate of 2.7% compounded monthly for 15 years. Use the formula to determine Cassidy's approximate monthly payment.
P = Fp(t)/1 - (1+t)^-n
Answer choices:
A. Cassidy’s approximate monthly payment will be $5,717.26
B. Cassidy’s approximate monthly payment will be $1,721.15
C. Cassidy’s approximate monthly payment will be $1,474.58
D. Cassidy’s approximate monthly payment will be $1,420.11
Answer:
$1,420.11
Step-by-step explanation:
I just took the test and got it right
Cassidy's approximate monthly payment is $1420.11 if Cassidy is planning to obtain a loan from her bank for $210,000 for a new home option (D) is correct.
What is a loan amortization schedule?It is defined as the systematic way of representing of loan payments according to the time in which the principal amount and interest are mentioned in a list manner
It is given that:
Cassidy is planning to obtain a loan from her bank for $210,000 for a new home.
A fixed annual interest rate of 2.7% compounded monthly for 15 years.
The formula is:
[tex]P=\rm \dfrac{Fp(i)}{1-(1+i)^{-1}}[/tex]
Plug all the values in the above formula:
[tex]P=\rm \dfrac{210000(2.7\%/12)}{1-(1+(2.7\%/12))^{-15\times12}}[/tex]
After calculating:
P = $1420.11
Thus, Cassidy's approximate monthly payment is $1420.11 if Cassidy is planning to obtain a loan from her bank for $210,000 for a new home.
Learn more about the amortization schedule here:
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¿De qué manera influye la ética en el hombre a partir de su función crítica? Explique.
Answer:
La ética es una rama de la filosofía que se ocupa de la reflexión crítica sobre las acciones de los hombres. En un sentido general, la ética busca establecer los criterios para juzgar si una acción puede calificarse de correcta o incorrecta, y para evaluar los motivos y consecuencias de dicha acción. Las cuestiones éticas también juegan un papel importante en la política, los negocios y la medicina, y en campos de la ciencia y el estudio como la historia, la biología y la sociología, la ética de la profesión es ocasionalmente un tema de discusión.
Así, la ética implica una evaluación de las acciones de las personas, calificándolas como correctas o incorrectas a los ojos de la sociedad. De esta manera, influye en la forma en que las personas realizan o dejan de realizar una determinada acción, ya que estas consideran sus consecuencias positivas o negativas al momento de realizarla.
charlie wants to make a one time investment into an account that earns 6% interest compounded semi annually. to earn $338,893 after 26 years, approximately how much money did he invest?
[tex]s = p(1 + \frac{r}{m} ) {}^{mt}[/tex]
A.$72,866.33
B.$74,492.08
C.$528,673.08
D.$217,239.10
Answer:
PV= $72,866.33
Step-by-step explanation:
Giving the following information:
Interest rate= 6% compounded semiannually
Number of periods= 26*2= 52 semesters
Future value= 338,893
To calculate the initial investment (PV), we need to use the following formula:
PV= FV/(1+i)^n
i= 0.06/2= 0.03
PV= 338,893 / (1.03^52)
PV= $72,866.33
Answer:
The correct answer is $72,866.33
An experiment consists of first rolling a die and then tossing a coin.
(a) List the sample space. {(1, H), (2, H), (3, H), (4, H), (5, H), (6, H)} {(1, H), (1, T), (2, H), (2, T), (3, H), (3, T), (4, H), (4, T), (5, H), (5, T), (6, H), (6, T)} {(3, H), (4, H)} {(1, T), (2, T), (3, T), (4, T), (5, T), (6, T)} {(3, H), (3, T), (4, H), (4, T)}
(b) Let A be the event that either a three or a four is rolled first, followed by landing a head on the coin toss. Find P(A). (Enter your probability as a fraction.)
P(A) =
(c) Suppose that a new experiment consists of first rolling a die and then tossing a coin twice. Let B be the event that the first and second coin tosses land on heads. Let C be the event that either a three or a four is rolled first, followed by landing a head on the first coin toss. Are the events B and C mutually exclusive? Explain your answer.
A. Events B and C are mutually exclusive because they have different probabilities.
B. Events B and C are mutually exclusive because the first and second coin tosses cannot land on heads when a three or four is rolled first.
C. Events B and C are not mutually exclusive because the first and second coin tosses can land on heads when a three or four is rolled first.
D. Events B and C are mutually exclusive because they are dependent events.
Answer:
A
Step-by-step explanation:
I think letter C the die is consisting of 6 number 1,2,3,4,5,6 and the coin H,T. The probability of tossing a coin are only two while rolling a die has six probability that it will land either three or fou.r
Select the correct answer from each drop-down menu.
Cameron is a member of a national gardening club. She asked 200 of her fellow members whether they use compost to fertilize their plants, and
45% responded favorably.
What is the 90% confidence interval for the true proportion of club members who use compost?
Answer:
0.45 and 0.5
Step-by-step explanation:
plato/edmentum
The 90% confidence interval for the true proportion of club members who use compost is given as (0.4, 0.507)
What is Confidence Interval?
This refers to the probability of a parameter falling across a set of values around the mean.
To find the 90% confidence interval,
Probability= 45%= 0.45
Level of significance= 90%
1-0.90
= 0.10
[tex]z\alpha /2 = z(0.1/2) = 0.05[/tex]
The value of 0.05
P0.05= 1.645
P ± 1.645 x [tex]\sqrt{P0-p/n}[/tex]
0.45 ± 1.645 * [tex]\sqrt{0.48 (1-0.45)/200}[/tex]
0.45 ± 1.645 * 0.035178
0.45 ± 0.0578
0.45 - 0.0578, 0.45 + 0.0578
(0.4, 0.507)
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What is the GCF for the terms in the following expression?
15x + 30y - 10
What is the factored expression?
Hint: it will look something like this
4 (2x + 4y - 6) this is not the answer!
Answer:
Step-by-step explanation:
15x = 3·5·x
30y = 2·3·5y
The common factors are 3 and 5.
Greatest common factor = 3·5 = 15
michelle is working on a design for a new building .she has built a model of the model of the building according to the clients specifications
Felix wants to buy some lemonade for the dinner party.
He sees these offers in a shop.
Felix decides to buy 2 packs of 8 cans.
He thinks 2 packs of 8 cans is more lemonade than 5 bottles of 1 litre.
Is Felix correct?
Show a check of your working.
Use the space below to show clearly how you get your answer.. Single line text.
(4 Points)
Answer:
Yes. Felix is correct.
Step-by-step explanation:
Find out how much ml does a can of lemonade have, I would assume its 330ml since I searched up the ml of a lemonade can.
Find out how much cans of lemonade there are in 2 packs of 8.
2 packs = 8 x 2 = 16 cans of lemonade
Now find out how much ml 16 lemonade cans equal to.
1 can of lemonade = 330ml
16 cans of lemonade = 330 x 16 = 5280ml
Now let's find 5 bottles of 1 litre.
1 litre x 5 = 5 litres.
5280 = 5 litres and 280ml
So Felix is correct about 2 packs of 8 cans is more than 5 bottles of 1 litre.
Can someone help me please
Answer:
5
Step-by-step explanation:
is a trapezoid a quadrilateral
Answer:
From what I know the answer is no
Step-by-step explanation:
A quadrilateral is a shape with four equal sides, the sides on a trapezoid are not equal therefore, its not a quadrilateral .
Answer:
True
Step-by-step explanation:
A quadrilateral is any shape with four sides. A trapezoid does have four sides, and therefore is a quadrilateral. The difference between a trapezoid and a "regular quadrilateral" is a trapezoid only has one pair of parallel sides, why a quadrilateral like a square or rectangle has two pairs.
Have a nice day! - I know that this is late, but this problem popped up on my dashboard and I thought I would answer :)
I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)
- Heather
There are three car salespeople at the local car dealership. The table below shows how many cars each salesperson has sold.
Car salesperson Years of employment Cars sold
Ronaldo 222 104104104
Maria 777 322322322
Bruno 121212 516516516
Which car salesperson sold the most cars per year?
Choose 1 answer:
Choose 1 answer:
Answer:
bruno
Step-by-step explanation:
1+2+1+2+1+2+5+1+6+5+1+6+5+1+6=45
Suppose the variance in trunk diameter of the giant sequoia tree species is 15.7m^2, while the variance in trunk diameter of the California redwood tree species is 10.6m^2. Let x1 represent the average trunk diameter of four randomly sampled giant sequoia trees, and let x2 represent the average trunk diameter of three randomly sampled California redwood trees. If the random sampling is done with replacement, what is the standard deviation σ(x1−x2) of the sampling distribution of the difference in sample means x1−x2 ?
Answer:
[tex]\mathbf{ \sqrt{\dfrac{15.7}{4} + \dfrac{10.6}{3}} }[/tex]
Step-by-step explanation:
Given that:
[tex]\overline x_1 =[/tex] the average diameter of 4 randomly select sequoia trunk from giant trees
[tex]\overline{x_2}[/tex] = the average diameter of 3 randomly selected trunk in California trees.
Thus;
sample size [tex]\mathbf{n_1 = 4 \ \ \& \ \ n_2 = 3}[/tex]
Variance:
[tex]\mathbf{\sigma_1^2 = 15.7 }[/tex]
[tex]\mathbf{\sigma_2^2 = 10.6 }[/tex]
Recall that:
[tex]\mathbf {( \overline x_1 - \overline x_2) \sim Normal \Big ( \mu_1 -\mu_2 \ , \ \dfrac{\sigma_1^2}{n_1} + \dfrac{\sigma_12^2}{n_2} \Big )}[/tex]
[tex]\mathbf{Mean ( \overline x_1 - \overline x_2) = \mu_1 - \mu_2}[/tex]
Therefore:
The standard deviation [tex]\mathbf{ \overline x_1 - \overline x_2 = \sqrt{\dfrac{\sigma_1^2}{n_1} + \dfrac{\sigma_2^2}{n_2} } }[/tex]
[tex]\mathbf{ \overline x_1 - \overline x_2 = \sqrt{\dfrac{15.7}{4} + \dfrac{10.6}{3}} }[/tex]
The standard deviation of the sampling distribution of the difference in the sample means is 9.95
The given parameters are:
Variance: [tex]\sigma_1 ^2 = 15.7[/tex], [tex]\sigma_2 ^2 = 10.6[/tex]Sample size: [tex]n_1 = 4[/tex], [tex]n_2 = 3[/tex].For a normal distribution we have:
[tex]\bar x_1 - \bar x_2 = \sqrt{\frac{\sigma_1^2}{n_1} +\frac{\sigma_2^2}{n_2}}[/tex]
So, the equation becomes
[tex]\bar x_1 - \bar x_2 = \sqrt{\frac{15.7^2}{4} +\frac{10.6^2}{3}}[/tex]
Evaluate the exponents
[tex]\bar x_1 - \bar x_2 = \sqrt{\frac{246.49}{4} +\frac{112.36}{3}}[/tex]
[tex]\bar x_1 - \bar x_2 = \sqrt{61.62+37.45}[/tex]
Evaluate the sums
[tex]\bar x_1 - \bar x_2 = \sqrt{99.07}[/tex]
Evaluate the square roots
[tex]\bar x_1 - \bar x_2 = 9.95[/tex]
Hence, the standard deviation of the sampling distribution of the difference in the sample means is 9.95
Read more about sampling distribution at:
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For his craft project, James bought 101010 pieces of ribbon that were each 2.1\text{ feet}2.1 feet2, point, 1, start text, space, f, e, e, t, end text long.
How many total yards of ribbon did James buy?
9514 1404 393
Answer:
7
Step-by-step explanation:
The total length of ribbon is ...
(10)(2.1 ft) = 21 ft
There are 3 feet in a yard, so the number of yards is ...
(21 ft)×(1 yd)/(3 ft) = 7 yd
What is the area of the parallelogram shown?
Answer: 234 in^3
Step-by-step explanation:
The area of a parallelogram is simply length * height.
how many 1/2 kg packets of salt can you obtain from 18 kg of salt
Answer:
36
Step-by-step explanation:
18 × 2 = 36
Because 1/2 is half of 1 kg so multiply by 2 it makes 1 kg
At lunch 4 friends share 3 pizzas equally what fraction of pizza does each friend get
Answer:
3/4
Step-by-step explanation:
3 divided by 4
planning to start a family comes to you for information. Charles was married once before, and he and his first wife had a child with cystic fibrosis. The brother of his current wife, Elaine, died of cystic fibrosis. What is the probability that Charles and Elaine will have a baby with cystic fibrosis
Answer:
Cystic fibrosis probability is remote in current case.
Step-by-step explanation:
Cystic fibrosis is the disease in which patient suffers lung and intestine clog due to mucus. There is chance of cystic fibrosis in children when one of parent has history of such a disease. If one parent has defective genes and other parent has healthy genes then there is very remote chances of this disease in child.
if ther are 36 eggs in 4 cakes, what should we divide by?
Plz help
Giving 10 points
What is 12.36 rounded to the nearest whole number
Answer:
12.
Step-by-step explanation:
This is how to round 12.36 to the nearest whole number. In other words, this is how to round 12.36 to the nearest integer.
12.36 has two parts. The integer part to the left of the decimal point and the fractional part to the right of the decimal point:
Integer Part: 12
Fractional Part: 36
Our goal is to round it so we only have an integer part using the following rules:
If the first digit in the fractional part of 12.36 is less than 5 then we simply remove the fractional part to get the answer.
If the first digit in the fractional part of 12.36 is 5 or above, then we add 1 to the integer part and remove the fractional part to get the answer.
The first digit in the fractional part is 3 and 3 is less than 5. Therefore, we simply remove the fractional part to get 12.36 rounded to the nearest whole number as:
12
Four times a number plus three times a second number is negative nine. Twice the first number plus the second number is three
Answer:
First number: 9
Second number: -15
Answer:{4m+3n=-9
2m+n=3
Step-by-step explanation:
Mike and Ike decided to take a drive to Crystal Mountain Lake. As they leave home in Swamp Town, they notice that the car odometer reads 15,632 miles. When they stop at Vine Valley to have lunch, they notice that the odometer reads 15,795 miles, and they see this road sign: Crystal Mountain Lake 52 miles. What is the distance from Swamp Town to Crystal Mountain lake (2 points)? Show your work (3 points).
3). AFTER PAYING HER BILLS CAROL HAS -$45 IN HER CHECKING
ACCOUNT. SHE RECEIVES A $150 PAYCHECK. HOW MUCH MONEY
DOES SHE HAVE IN HER ACCOUNT NOW?
Answer:105
explanation: -45
+150
_ ___
105
Nine pieces of 8 in. ✕ 12 in. duct that is 2 2 3 ft in length is needed for a building. What is the total length (in ft) needed?
This question is incomplete, the complete question is;
Nine pieces of 8-in. × 12-in. duct that is 2[tex]\frac{2}{3}[/tex] ft in length is needed for a building. What is the total length (in ft) needed?
Answer:
the total length needed is 24 ft
Step-by-step explanation:
Given the data in the question;
the length of one piece of 8-in. × 12-in. duct is 2[tex]\frac{2}{3}[/tex] ft
Now to find the total length for nine pieces of the duct;
we simple multiply 2[tex]\frac{2}{3}[/tex] ft by nine
so
Total length = 9 × 2[tex]\frac{2}{3}[/tex]
we convert the mixed fraction to improper fraction
2[tex]\frac{2}{3}[/tex] = 8/3
so
Total length = 9 × (8/3) ft
Total length = 24 ft
Therefore, the total length needed is 24 ft
Simplify the expression.
4 + (11 - 3)2
A.) 68
B.)6
C.)20
D.)144
Answer:
I THINK ITS 20?
Step-by-step explanation:
Answer:
c is the answer
Step-by-step explanation: