Answer:
3.92%
Step-by-step explanation:
What is the area of the triangle given below?
A. 32 sq. units
B. 17 sq. units
C. 52 sq. units
D. 26 sq. units
Karen gaines invested $15,000 in a money market account with an interest rate of 2.25% compounded semiannually. Five years later, Karen withdrew the full amount to put towards the down payment on a new house. How much did Karen withdraw from the account
Answer:
years later , karen withdrew the full amount to put toward the down payment on a new house. How much did she withdraw? ... gaines invested $15,000 in a money market account with an interest rate of 2.75% compounded semiannually. ... Median response time is 34 minutes and may be longer for new subjects.
The value of a printer is decreasing by a constant percent rate e
value of the printer at the end of each year. which table represents the value of the printer at the end of each year
Answer:
b.
Step-by-step explanation:
If 2/3n = -6, then 1/3n =
94 – 3( -7 + ( 5 – 8 ) ^2 )
Answer:
142 is the correct answer (PEMDAS)
A quiz has 10 multiple choice questions each with 4 answers that are equally likely to be the correct one. Suppose that the quiz takers need to score 7 corrects out of 10 to pass. Answer the following questions when the quiz taker selects the answers randomly. a) Probability of marking exactly 3 incorrect answers. b) Probability of passing
Answer:
a) 0.0031 = 0.31% probability of marking exactly 3 incorrect answers.
b) 0.0035 = 0.35% probability of passing.
Step-by-step explanation:
For each question, there are only two possible outcomes. Either the student chooses the correct answer, or he does not. Questions are independent of each other. So we use the binomial probability distribution to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
And p is the probability of X happening.
10 multiple choice questions
This means that [tex]n = 10[/tex]
4 answers that are equally likely to be the correct one. The quiz taker selects the answers randomly.
This means that [tex]p = \frac{1}{4} = 0.25[/tex]
a) Probability of marking exactly 3 incorrect answers.
3 incorrectly = 7 correctly, so this is P(X = 7).
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 7) = C_{10,7}.(0.25)^{7}.(0.75)^{3} = 0.0031[/tex]
0.0031 = 0.31% probability of marking exactly 3 incorrect answers.
b) Probability of passing
At least 7 correct, so
[tex]P(X \geq 7) = P(X = 7) + P(X = 8) + P(X = 9) + P(X = 10)[/tex]
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 7) = C_{10,7}.(0.25)^{7}.(0.75)^{3} = 0.0031[/tex]
[tex]P(X = 8) = C_{10,8}.(0.25)^{8}.(0.75)^{2} = 0.0004[/tex]
[tex]P(X = 9) = C_{10,9}.(0.25)^{9}.(0.75)^{1} \approx 0[/tex]
[tex]P(X = 10) = C_{10,10}.(0.25)^{10}.(0.75)^{0} \approx 0[/tex]
[tex]P(X \geq 7) = P(X = 7) + P(X = 8) + P(X = 9) + P(X = 10) = 0.0031 + 0.0004 + 0 + 0 = 0.0035[/tex]
0.0035 = 0.35% probability of passing.
What is the measure of A
Answer: it is about 80%
Step-by-step explanation:
Answer:
i think about 140 degrees
Step-by-step explanation:
EASY QUESTION DO NOT GUESS WILL LIST BRAINLIST PLS HELP MUCH APPRECIATED!
What is the slope of the line shown in the graph?
Answer:
-1/3
Step-by-step explanation:
slope = rise/run = -1/3
n - 89 > 171. what inequality below true. 1. n=82. 2. n=105. 3. n=268. 4. n=300. 5. n=312
Answer:
1. Assume the contrary, namely that √2 + √3 + √5 = r, where r is a rational number.
Square the equality √2 + √3 = r − √5 to obtain 5 + 2
√6 = r2 + 5 − 2r
√5. It follows
that 2√6 + 2r
√5 is itself rational. Squaring again, we find that 24 + 20r2 + 8r
√30
is rational, and hence √30 is rational, too. Pythagoras’ method for proving that √2 is
irrational can now be applied to show that this is not true. Write √30 = m
n in lowest
terms; then transform this into m2 = 30n2. It follows that m is divisible by 2 and because
2( m
2 )2 = 15n2 it follows that n is divisible by 2 as well. So the fraction was not in lowest
terms, a contradiction. We conclude that the initial assumption was false, and therefore
√2 + √3 + √5 is irrational.
Step-by-step explanation:
Evaluate
2a+2b when a=10.8 and b=8.3.
Which of these represents the equation of a line that passes through the points (-5, -4) and (3, 8)?
A
3
y = x +
7
2
B.
y = {
C
2
3
С
y = ſa +6
y= 3x - 22
D
2
police chase a car. police are originally 5 miles behind. if the police car's speed is 90 mph and the car they chase is moving with a speed of 80 mph. how long will it take them to catch up?
Step-by-step explanation:
Let x be the number of hours for
the police to catch up to the car.
We have 90x = 80x + 5.
=> 10x = 5
=> x = 0.5.
Hence it will take them 30 minutes.
Mrs. Deery has 6 large pieces of construction paper for an art project. She has 24 students in her class. What fraction of the paper will each student receive if it is divided into equal parts?
Answer:
Step-by-step explanation:
Yesterday, Mary had n baseball cards. Today, she gave 18 away. Using n , write an expression for the number of cards Mary has left.
Answer:
n-18
Step-by-step explanation:
If you deposit 4500 in an account paying 3.2% interest continually home much will the account balance be after 1.5 year
Answer:
We conclude that the total amount accrued, principal plus interest, from compound interest on an original principal of $4,500.00 at a rate of 3.2% per year compounded continuously over 1.5 years is $4,721.27.
Step-by-step explanation:
Given
Principle P = 4500 (Let say in $)Interest rate r = 3.2% = 0.032Time period t = 1.5 yearsTo determine
Accrue Amount A = ?
Using the formula
[tex]A\:=\:Pe^{rt}[/tex]
substitute r = 0.032, P = 4500, and t = 1.5
[tex]A\:=\:4,500.00\left(2.71828\right)^{\left(0.032\right)\left(1.5\right)}[/tex]
A = $ 4721.27
Therefore, we conclude that the total amount accrued, principal plus interest, from compound interest on an original principal of $4,500.00 at a rate of 3.2% per year compounded continuously over 1.5 years is $4,721.27.
If anyone can help me with this it would be awesome
Answer:
The last question is 41!
Step-by-step explanation:
What is the slope of the line that passes through the points (-6, -7) and
(-24. - 7)? Write your answer in simplest form.
Answer:
-18/0 or 0
Step-by-step explanation:
'Nine less than the product of four and a number
Answer:
(4 x X)-9
Step-by-step explanation:
I think this is correct pls tell me if this is wrong
Hope this helps
The algebraic expression of Nine less than the product of four and a number is 4x-9.
What is Expression?An expression is combination of variables, numbers and operators.
The given sentence is 'Nine less than the product of four and a number.
We need to write this sentence as an algebraic expression.
We know that less than means there we used subtraction.
Product in the sentence means multiplication.
Let us consider x as the unknown number in the given expression.
the product of four and a number means four is multiplied with x. which is 4x.
Nine less than the product of four and a number
4x-9
Hence, the algebraic expression of Nine less than the product of four and a number is 4x-9.
To learn more on Expressions click:
https://brainly.com/question/14083225
#SPJ2
brainliest??????????????????????????????
Step-by-step explanation:
Given
f(x) = 3x² + 9
g(x) = 5x
(fog)x = f ( 5x)
= 3 ( 5x) ² + 9
= 3 * 25x² + 9
= 75x² + 9
Hope it will help :)
The first term of a sequence is 3 and the common ratio is 3. The sequence is:
a. 3, 6, 9, 12,...
b 3, 9, 27, 81,...
c 3, 9, 27, 36,...
d None of the choices are correct.
Answer:
B
Step-by-step explanation:
20x=-58-2y
17x=-49-2y
Answer:
20x = -58 - 2y( Ans~ x= -29/11)
17x = -49 - 2y (Ans~ x = -49/19)
Step-by-step explanation:
(1) 20x = -58 2x
20x + 2x = -58
22x = -58
x = -29/11
(2) 17x = -49 - 2x
17x + 2x = -49
19x = -49
x = -49/19
U WELCOME!!
Answer:
y=1
x=-3
Step-by-step explanation:
20x=-58-2y
20x/20=(-58-2y)/20
x=(-58-2y)/20
17x=-49-2y
17x/17=(-49-2y)/17
x=(-49-2y)/17
(-58-2y)/20=(-49-2y)/17
17(-58-2y)=20(-49-2y)
-986-34y=-980-40y
add 40y to both sides
6y-986=-980
add 986 to both sides
6y=6
divide both sides by 6
y=1
substitute
20x=-58-2(1)
20x=-60
x=-3
Proof: (substituting x & y values in original equations)
20(-3)=-58-2(1)
-60=-60
17(-3)=-49-2(1)
-51=-51
pls helpp mee!!!!! pleaseee
Answer:
it is 5 inches squared
Step-by-step explanation:
1 inches. sjwjqkqkwjhed
Which set of angles will be complimentary
∠1 + ∠3 + 90° = 180°
∠1 + ∠3 = 90°
∠3 = ∠4 (vertically opposite angles)
∠1 + ∠4 = 90°
Therefore, the answer is ∠1 + ∠4
PLEASE ANSWER ASASP FOR BRAINLEST!!!!!!!!!!!!!!
Answer:
48 units squared
Step-by-step explanation:
Which of the following points is between 50 and 60 units away from (7, -2)?
a) (23,4)
b) (14,-6)
c) (60,-2)
d) (-1,9)
Im pretty sure the answer is c.
If the circumference of the circle above is 25.12 units, what is the area? (Use 3.14 for T.)
Answer:
50.24 units2
Step-by-step explanation:
2. 7 2/6 + 1/12 = M
A.7 3/18
B.7/18
C.7 2/12
D.7 5/12
3. 1 6/10 + 1 4/5 = ?
A. 2 10/15
B. 2 10/50
C. 3 4/10
D. 3 10/10
4. 5/8 + 1/2 = Z
A. 9/8
B. 6/8
C. 1
D. 1 5/8
5. 2/12 + 2/4 = R *
A. 4/16
B. 8/16
C. 4/12
D. 8/12
Answer:
2 a 3 d 4 c 5 b
Step-by-step explanation:
For every 6 trucks there are 10 cars parked in the commuter lot. If there are 25
cars parked in the lot, how many trucks are there?
Answer:
15
Step-by-step explanation:
The ratio of trucks to cars is 6x/10. And in the problem it says that there are 25 cars. So, 10x = 25, x = 5/2. Then, 6x = 15
There is an unknown number of people at the beginning of lunch. Then...
Each student had 3 friends come sit with them, tripling the amount.
Then the entire group divided into 4 groups, and all but one group left and went outside, so only 1 fourthof the total students were left in the lunchroom
7 more people came into the lunchroom
The total number of people in the lunchroom at the end of lunch was 16
Answer:
5.25
Step-by-step explanation:
A spinner numbered 1 to 8 is spun and a six-sided die is rolled. What is the probability of getting a multiple of 4 on the spinner and a multiple of 4 on the die?
Answer:
1/24
Step-by-step explanation:
P(4,8 and 4) = 2/8 x 1/6 = 1/24