Answer:
57
Step-by-step explanation:
Answer: 57
Step-by-step explanation:
1. Calculate what's in the parentheses first
(4 * 15) = 60
(60) - 3 = ?
2. Exponents (Powers, Roots) before you Multiply, Divide, Add or Subtract
Not applicable for this problem.
3. Multiply or Divide before you Add or Subtract
Not applicable for this problem.
4. For anything else left, just go from left to right
60 - 3 = 57
If you want to remember the shortcut; PEMDAS
P - Parentheses first
E - Exponents (Powers and Square Roots, etc.)
MD - Multiplication and Division (left-to-right)
AS - Addition and Subtraction (left-to-right)
Remember that:
Divide and Multiply rank equally (and go left to right).
Add and Subtract rank equally (and go left to right)
Sylvia had a small box. She filled it with 64 triangle pattern blocks. She said "The volume of this box is 64 cubic units." Do you agree with Sylvia? Why or why not?
Answer:
I do not agree with Sylvia
Step-by-step explanation:
Given
1 small box
64 triangle pattern blocks
Required
Is she right?
From the question, we understand that she fills the box with 64 blocks.
For the fact that she did this; it does not mean that the volume of the small box is 64 cubic units (even if she filled the box completely and the triangle pattern blocks are identical)
The reason for this is that, the volume of each box may not be 1 cubic unit.
So, first she needs to determine the volume of each pattern block, then multiply by 64. If the result is 64, then the volume of the box is 64 cubic units.
Since, it is not stated, we will not make any assumptions.
Hence, I do not agree with Sylvia.
If Danny earned $1,000 on a 4 year investment at a rate of 6%, how much was his original investment?
Answer:
$4,166,67
Step-by-step explanation:
Three hermit crabs at a pet store cost $ 21.75 . If each hermit crab, h , costs the same amount, which equation can be used to find the cost per hermit crab correctly?
Answer:
Step-by-step explanation:
$21.75/(3 crabs) = $7.25/crab
The value of a car decreases by 20 percent per year. Mr. Sing purchases a $22,000 automobile. What is the value of the car at the end of the second year?$14,080$17,600$19,800$26,400
Answer:
$14,080
Step-by Step Explanation:
Answer:
$14,080
Step-by-step explanation:
Hope this helps.
Write the equation of the line in slope intercept from that: Has a slope of m= −2 and goes through (1, 2). please help
Answer:
y=-2x+4
Step-by-step explanation:
Write in factored form
6x – 3y + 12
Answer:
3(2x-y+4)
Step-by-step explanation:
find the greatest common factor from all of them..which is 3
and then divide each number by it
3(2x-y+4)
For married couples living in a certain suburb, the probability that the husband will vote on a bond referendum is 0.21, the probability that the wife will vote on the referendum is 0.28, and the probability that both the husband and the wife will vote is0.15.
A) What is the probability that at least one member of a married couple will vote?
B) What is the probability that a wife will vote, given that her husband will vote?
C) What is the probability that a husband will vote, given that his wife does not vote?
Answer:
a) 0.34 = 35% probability that at least one member of a married couple will vote.
b) 0.7143 = 71.43% probability that a wife will vote
c) 0.0968 = 9.68% probability that a husband will vote
Step-by-step explanation:
Conditional Probability
We use the conditional probability formula to solve this question. It is
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]
In which
P(B|A) is the probability of event B happening, given that A happened.
[tex]P(A \cap B)[/tex] is the probability of both A and B happening.
P(A) is the probability of A happening.
This is used for itens B and C. For item a, we treat the probabilities as Venn sets.
A) What is the probability that at least one member of a married couple will vote?
I am going to say that:
Event A: Husband votes.
Event B: Wife votes.
The probability that the husband will vote on a bond referendum is 0.21
This means that [tex]P(A) = 0.21[/tex]
The probability that the wife will vote on the referendum is 0.28
This means that [tex]P(B) = 0.28[/tex]
The probability that both the husband and the wife will vote is 0.15.
This means that [tex]P(A \cap B) = 0.15[/tex]
At least one votes:
This is [tex]P(A \cup B)[/tex], which is given by:
[tex]P(A \cup B) = P(A) + P(B) - P(A \cap B)[/tex]
So
[tex]P(A \cup B) = 0.21 + 0.28 - 0.15[/tex]
[tex]P(A \cup B) = 0.34[/tex]
0.34 = 35% probability that at least one member of a married couple will vote.
B) What is the probability that a wife will vote, given that her husband will vote?
Here, we use conditional probability:
Event A: Husband votes:
Event B: Wife votes
The probability that the husband will vote on a bond referendum is 0.21
This means that [tex]P(A) = 0.21[/tex]
Intersection of events A and B:
Intersection between husband voting and wife voting is both voting, which means that [tex]P(A \cap B) = 0.15[/tex]
The desired probability is:
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.15}{0.21} = 0.7143[/tex]
0.7143 = 71.43% probability that a wife will vote.
C) What is the probability that a husband will vote, given that his wife does not vote?
Event A: Wife does not vote.
Event B: Husband votes.
The probability that the wife will vote on the referendum is 0.28
So 1 - 0.28 = 0.62 probability that she does not vote, which means that [tex]P(A) = 0.62[/tex]
Probability of husband voting and wife not voting:
0.21 probability husband votes, 0.15 probability wife votes, so 0.21 - 0.15 = 0.06 probability husband votes and wife does not, so [tex]P(A \cap B) = 0.06[/tex]
The desired probability is:
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.06}{0.62} = 0.0968[/tex]
0.0968 = 9.68% probability that a husband will vote
A contractor is planning the acquisition of bulldozers needed for a new project in a remote area. From prior experience with this equipment he estimates that there is a 60% chance that each bulldozer will be operational for at least six months. If he purchases four bulldozers, it is desired to calculate the probabilities that exactly: 0, 1, 2, 3, and 4 bulldozers will be operational at the end of six months. Please document the following information:
a. Count the number of possible outcomes of the status of each bulldozer at the end of six months:
b. List the five events listed above as a function of the status of each bulldozer at the end of six months documented in 1.); and
c. Calculate the probabilities of these events assuming that the status of each bulldozer is statistically independent of the status of the rest of bulldozers.
Answer:
0.0256 ; 0.1536 ; 0.3456 ; 0.3456 ; 0.1296
Step-by-step explanation:
P, that each bulldozer will be operational for atleast 6 months = 0.6
p = 0.6 ; q = 1 - p = 1 - 0.6 = 0.4
Number of bulldozers purchased, n = 4
Probability that :
Exactly 0 bulldozer will be operational at the end of 6 months :
P(x = x) = nCx * p^x * q^(n-x)
P(x = 0) = 4C0 * 0.6^0 * 0.4^4
P(x = 0) = 1 * 1 * 0.0256
P(x = 0) = 0.0256
Probability that :
Exactly 1 bulldozer will be operational at the end of 6 months :
P(x = x) = nCx * p^x * q^(n-x)
P(x = 1) = 4C1 * 0.6^1 * 0.4^3
P(x = 1) = 4 * 0.6 * 0.064
P(x = 1) = 0.1536
Probability that :
Exactly 2 bulldozer will be operational at the end of 6 months :
P(x = x) = nCx * p^x * q^(n-x)
P(x = 2) = 4C2 * 0.6^2 * 0.4^2
P(x = 2) = 6 * 0.36 * 0.16
P(x = 2) = 0.3456
Probability that :
Exactly 3 bulldozer will be operational at the end of 6 months :
P(x = x) = nCx * p^x * q^(n-x)
P(x = 3) = 4C3 * 0.6^3 * 0.4^1
P(x = 3) = 4 * 0.216 * 0.4
P(x = 3) = 0.3456
Probability that :
Exactly 4 bulldozer will be operational at the end of 6 months :
P(x = x) = nCx * p^x * q^(n-x)
P(x = 4) = 4C4 * 0.6^4 * 0.4^0
P(x = 1) = 1 * 0.1296 * 1
P(x = 1) = 0.1296
Jamal reads for 1/2 hour on Monday and 1/3 hour on Tuesday.how much more did he read on Monday than on Tuesday?
Answer:
1/6 hour, or 10 minutes
Step-by-step explanation:
This is a subtraction problem.
1/2 - 1/3 =
We need a common denominator for 2 and 3. We can use 6.
= 1/2 * 3/3 - 1/3 * 2/2
= 3/6 - 2/6
= 1/6
Answer: 1/6 hours, or 10 minutes
For the following pair of functions, find (f+g)(x) and (f-g)(x).
f(x)= 4x2 + 7x-5 and g(x)= - 9x² + 4x - 13
(f+g)(x) = 0
(Simplify your answer. Type in descending order.)
(f-g)(x) =
(Simplify your answer. Type in descending order.)
Given:
The functions are
[tex]f(x)=4x^2+7x-5[/tex]
[tex]g(x)=-9x^2+4x-13[/tex]
To find:
The functions [tex](f+g)(x)[/tex] and [tex](f-g)(x)[/tex].
Solution:
We know that,
[tex](f+g)(x)=f(x)+g(x)[/tex]
[tex](f+g)(x)=4x^2+7x-5-9x^2+4x-13[/tex]
[tex](f+g)(x)=(4x^2-9x^2)+(7x+4x)+(-5-13)[/tex]
[tex](f+g)(x)=-5x^2+11x-18[/tex]
And,
[tex](f-g)(x)=f(x)-g(x)[/tex]
[tex](f-g)(x)=(4x^2+7x-5)-(-9x^2+4x-13)[/tex]
[tex](f+g)(x)=4x^2+7x-5+9x^2-4x+13[/tex]
[tex](f+g)(x)=(4x^2+9x^2)+(7x-4x)+(-5+13)[/tex]
[tex](f-g)(x)=13x^2+3x+8[/tex]
Therefore, the required functions are [tex](f+g)(x)=-5x^2+11x-18[/tex]
and [tex](f-g)(x)=13x^2+3x+8[/tex].
Subtract. (12+8i)−(7+4i) Enter your answer in the box.
Answer:
5+12i
Step-by-step explanation:
So 12-7 = 5 and 8i+4i=12i and that equals 5+12i
Three different accounts are described below.order the accounts according to their values after 10 years ,from greatest to least
Answer:
3.You deposit $1000 in an account that earns 9% annual interest compounded semiannually.
1. You deposit $950 in an account that earns 9% annual interest compounded daily.
2. You deposit $1000 in an account that earns 8% annual interest compounded daily.
4. You deposit $1000 in an account that earns 10% simple interest.
Step-by-step explanation:
P.S - The exact question is -
To find - Three different accounts are described below. Order the accounts
according to their values after 10 years, from greatest to least.
1. You deposit $950 in an account that earns 9% annual
interest compounded daily.
2. You deposit $1000 in an account that earns 8% annual
interest compounded daily.
3.You deposit $1000 in an account that earns 9% annual
interest compounded semiannually.
4. You deposit $1000 in an account that earns 10% simple interest.
Proof -
1.)
Value after 10 years = 950( 1 + 0.09)¹⁰
= 950 ( 1.09)¹⁰
= 950(2.37) = 2248.995
⇒Value after 10 years = 2248.995
2.)
Value after 10 years = 1000( 1 + 0.08)¹⁰
= 1000 ( 1.08)¹⁰
= 1000(2.159) = 2158.925
⇒Value after 10 years = 2158.925
3.)
As it is compounded semiannually , so time period is doubles and rate goes half.
Value after 10 years = 1000( 1 + 0.045)²⁽¹⁰⁾
= 1000 ( 1.045)²⁰
= 1000(2.412) = 2411.714
⇒Value after 10 years = 2411.714
4.)
Value after 10 years = 1000×[tex]\frac{10}{100}[/tex]×10 = 1000
∴ we get
2411.714 > 2248.995 > 2158.925 > 1000
⇒ 3.) > 1.) > 2.) > 4.)
So,
3.You deposit $1000 in an account that earns 9% annual interest compounded semiannually.
1. You deposit $950 in an account that earns 9% annual interest compounded daily.
2. You deposit $1000 in an account that earns 8% annual interest compounded daily.
4. You deposit $1000 in an account that earns 10% simple interest.
A contractor purchases 3 dozen pairs of padded work gloves for $42.48. He incorrectly calculates the unit price as $14.16 per pair for the expense report. What is the correct unit price? What is the error?
Answer:
1.18
Step-by-step explanation:
$1.17
Step-by-step explanation:
He divided the total cost by 3 not 3 dozen (36).
A. Add the following integers.
11.7 + 9 =
12. - 9+ (- 10 ) =
13. (- 14 ) + 5 =
14.9+(-14) =
15.-5+ (-8)=
Answer:
11. 16
12. -19
13. -9
14. -5
15. -13
Step-by-step explanation:
What is the percent of increase from 5,000 to 7,000?
Answer:
40%
Step-by-step explanation:
2 numbers have a product of 50 and also have a sum of 14 what are the two numbers x •x and x+x
Answer:
32 and 18
Step-by-step explanation:
This is a question of simultaneous equation.
Let's say the two numbers are x and y.
ATQ,
x+y =50 ——I
x-y=14——II
On adding I and II,
We get 2x=64
Implying x=32
Putting the value of x in equation I,
32+y=50
y=50–32
=18.
The answer is 32 and 18
-9.4 - 1.4b = b + 0.2
a) no solution
b) -6.7
c) 2.1
d) -4
Answer:
d) -4
Step-by-step explanation:
-9.4 - 2.4b = 0.2
-2.4b = 9.6
b = -4
good luck, i hope this helps :)
which expression is equivalent to (5m) ^3
Answer:
5m•5m•5m
Step-by-step explanation:
so you multiply the factor by itself as many times as the exponent says so if the factor is 5m you would multiply it by the exponent which in this case is 3
5m.5m.5m and 125m³ is the equivalent expressions of the expression (5m)³.
What is Expression?An expression is combination of variables, numbers and operators.
The given expression is (5m)³
We have to find the equivalent expression of (5m)³
Equivalent expressions are expressions that work the same even though they look different
(5m)³ can be written as 5m.5m.5m
The value of five cube is one hundred twenty five.
125m³
Hence, 5m.5m.5m and 125m³ is the equivalent expressions of the expression (5m)³.
To learn more on Expressions click:
https://brainly.com/question/14083225
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Please help me if u don’t I will get a bad grade‼️
Given:
The equation is
[tex]\dfrac{1}{3}x=\dfrac{1}{5}[/tex]
To find:
The coefficient and reciprocal.
Solution:
We have,
[tex]\dfrac{1}{3}x=\dfrac{1}{5}[/tex]
Here, [tex]\dfrac{1}{3}[/tex] is multiplied with x.
So, the coefficient of x is [tex]\dfrac{1}{3}[/tex].
To find the reciprocal, we need to interchange numerator and denominator of a fraction.
So, the reciprocal of [tex]\dfrac{1}{3}[/tex] is [tex]\dfrac{3}{1}=3[/tex]
Therefore, the reciprocal is 3.
Antonio eats 1 slice of pizza in 3 minutes. How long will it take Antonio to eat 4 slices?
Answer:
12
4*3
That's the answer
Jared bought a 15-pound bag of turkey for
Thanksgiving. His family ate 6 pounds of
the food on the morning of Thanksgiving
and 4% for dinner. Jared decided to use 2
of the remaining turkey to make
sandwiches for lunch. How much turkey, in
pounds, did Jared use to make
sandwiches?
Answer:
6 jared used six pounds
Step-by-step explanation:
you have it aubtexact what he used the first night and then divide by 4percwnt
Throwing a ball describes what kind of graph.
Answer:
parabola
Step-by-step explanation:
The path followed by a ball can be modeled by a graph.
Throwing a ball is a parabola or quadratic graph.
When a ball is thrown, the path it follows can be represented by:
[tex]\mathbf{f(x) = ax^2 + bx + c}[/tex]
or
[tex]\mathbf{f(x) = a(x - h)^2 + k}[/tex]
The above equations are functions of a parabola or quadratic graph.
Hence, throwing a ball is a parabola or quadratic graph.
Read more about graphs at:
https://brainly.com/question/9915751
Sujan bought 16 pens for Rs256. how much would he have to pay for one pen he buys next time?
Step-by-step explanation:
.......................
Answer:
Rs 16
Step-by-step explanation:
Amount of money paid for 16 pens = Rs 256
Amount of money paid for 1 pen =
[tex] \frac{256}{16} = \frac{128}{8} \\ = \frac{64}{4} = \frac{32}{2} \\ = \frac{16}{1} \\ [/tex]
Therefore, amount paid for one pen is Rs 16
Can someone answer
q^8÷q^2
Answer:
q^6
Step-by-step explanation:
Pls helllp!!!
Find the hourly wage: $80 for 9 hours.
O $8.89
O $17.78
O $71
O $10.12
a line that separates the plane into two regions
Answer:
Two-Half Planes. Or, You can Call it a Boundary line.
Step-by-step explanation:
Answer:
half-planes or boundary region
Step-by-step explanation:
A company manufacturing computer chips finds that 8% of all chips manufactured are defective. In an effort to decrease the percentage of defective chips, management decides to provide additional training to those employees hired within the last year. After training was implemented, a sample of 450 chips revealed only 27 defects. A hypothesis test is performed to determine if the additional training was effective in lowering the defect rate. Which of the following statement is true about this hypothesis test?
A. It is a two tailed test about a proportion.
B. It is a one tailed test about a mean.
C. It is a one tailed test about a proportion.
D. It is a two tailed test about a mean.
E. None of the above.
Answer:
A. It is a two tailed test about a proportion
Step-by-step explanation:
We are given;
Population proportion; p= 8% = 0.08
Sample size; n = 450
Defective ones in the sample = 27
Sample proportion; p^ = 27/450 = 0.06
Let's define the hypotheses.
Null Hypothesis; H0: p = 0.08
Alternative hypothesis;Ha: p ≠ 0.08
≠ is used for the alternative hypothesis because we can't really ascertain if the training was going to make things worse.
Thus, this is a two tailed hypothesis test about a proportion.
ONLY 1% PEOPLE CAN ANSWER THIS QUESTION CORRECTLY 100 points also brainliest
Simplify
(8 x 5) x b
3
Also is this formula true or false?
Answer:40b simplified
Step-by-step explanation:
y=2x-1
y=1/2x+4
find the solution to the system equations
Answer:
x=10/3 y=17/3
Step-by-step explanation:
Use substitution to solve your equation. Plug in y=2x-1 into y=1/2x+4. This makes (2x-1)=1/2x+4. Simplify this to get 3/2x-1=4. Simplify it again to get 3/2x=5. No one likes fractions so multiply both sides by 2 to get 3x=10. Simplify this and get x=10/3. Plus 10/3 into one of the equations. You can pick anyone but I picked y=2x-1. Because you know x=10/3, you put y=2(10/3)-1. Simplify this and get y=20/3-1. Convert 1 into a fraction and get y=20/3-3/3. Simplify this and get y=17/3.
Therefore,
x=10/3 y=17/3
Hoped this helps you
Save me Ill give brainliest!!! :)
Answer:
6/7
Step-by-step explanation:
Answer:
(t+6) × u
hope this helps!!
