Answer: Distribute:
=2b+(
1
2
a)(b)+(
1
2
a)(
−2
3
)+−4ab
=2b+
1
2
ab+
−1
3
a+−4ab
Combine Like Terms:
=2b+
1
2
ab+
−1
3
a+−4ab
=(
1
2
ab+−4ab)+(
−1
3
a)+(2b)
=
−7
2
ab+
−1
3
a+2b
Answer:
=
−7
2
ab+
−1
3
a+2b
Step-by-step explanation: done
5.734 rounded to the nearest whole number
Answer:
6
Step-by-step explanation:
anything over 5 you round up.
7 is greater than 5 so you round up to 6
Answer: 5
Step-by-step explanation:
If the number is 5 or more, you round it up.
It the number is 4 or less, you leave it alone.
Using this process, we eliminate the numbers .734
We get the number 5 as our answer.
Mr. Harmin is sitting in his office on the third floor of a building. He is at an elevation of 30 feet in relation to street level. Mr. Ehrig is in the parking garage at an elevation of –35 feet, and Mrs. White is in the parking garage at an elevation of –25 feet in relation to street level. Which statements are true? Check all that apply. Mr. Harmin is closest to street level. Mr. Ehrig is at the lowest elevation. Mrs. White is closest to street level. Mr. Harmin is closer to street level than Mrs. White. Mrs. White is at the highest elevation.
Answer:
Mr. Ehrig is at the lowest elevation. AND .Mrs. White is closest to street level.
Step-by-step explanation:
Thomas has graphed the function y = 7x – 10 on a coordinate plane.
Which of the following statements is true for the function Thomas graphed?
A.It has a slope of 10
B.it has a y-intercept of 7
C.It has a negative association
D.It assigns exactly one output to each input
Answer:
D
Step-by-step explanation:
A linear function has exactly one output to each input.
The given function has both negative associations and assigns exactly one output to each input. Options C and D both are correct.
Given that,
Thomas has graphed the function y = 7x – 10 on a coordinate plane.
Functions is the relationship between sets of values. e g y=f(x), for every value of x there is its exists in a set of y. x is the independent variable while Y is the dependent variable.
Here,
As the function is the equation of the straight line that implies it gives exactly one output to each input and has negative input or negative association to sub-function 7x.
Thus, the given function has both negative associations and assigns exactly one output to each input. Options C and D both are correct.
learn more about function here:
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In the graph, the area below f(x) is shaded and labeled A, the area below g(x) is shaded and labeled B, and the area where f(x) and g(x) have shading in common is labeled AB.
Graph of two intersecting lines. The line f of x is solid and goes through the points 0, 4, and 4, 0 and is shaded below the line. The other line g of x is solid, and goes through the points 0, negative 1 and 2, 5 and is shaded below the line.
The graph represents which system of inequalities?
y ≤ −3x − 1
y ≤ −x − 4
y > −3x + 1
y ≤ −x − 4
y < 3x − 1
y ≤ −x + 4
y ≤ 3x − 1
y ≥ −x + 4
Answer:
y ≤ 3x − 1
y ≤ −x + 4
Step-by-step explanation:
PLEASE HELP ME (AND DONT STEAL) THANK YOU!!!!
Bob's average golf score at his local course is 93.6 from a random sample of 34 rounds of golf. Assume that the population standard deviation for his golf score is 4.2. The 90% confidence interval around this sample mean is:_______.
a. (92.4, 94.8).
b. (89.0, 98.3).
c. (90.5, 96.7).
d. (93.2, 94.0).
Answer:
a. (92.4, 94.8)
Step-by-step explanation:
Given that:
Mean (m) = 93.6
Standard deviation (σ) = 4.2
Sample size (n) = 34
α = 90%
Confidence interval around sample mean :
Mean ± Zstatistic * s/√n
Z0.90 = 1.645 (Z probability calculator)
s / √n = 4.2 / √34 = 0.7202940
Lower limit = 93.6 - (1.645 * 0.7202940) = 92.41511637 = 92.4
Upper limit = 93.6 + (1.645 * 0.7202940) = 94.78488363 = 94.8
Hiking
(15,18
(10, 12)
Distance (miles)
15,6
10
15
Time
Using the data shown on the graph, which sztements are correct?
The
3
The ratio of L is consistent
The graph represents a proportional relationship
D
The grach does not represent a proportional relationship
The graph of a proportional relationship must past through. (0,0)
Answer:
I’m sorry but I don’t understand the question
Step-by-step explanation:
the unit rate of 2/1 equivalent to the ratio 4/6: 9/12. True or false?
Answer:
I think true.
Step-by-step explanation:
-3 3/4+ 1/2 please help
Answer:
-3.25 or -3 1/4
Step-by-step explanation:
-3.75
+ .5
_______
Is AB congruent to CB?
Answer:
yes
Step-by-step explanation:
they are congruent
Answer Please : )
Why negative ( - ) sign is cannot be pulled out of square root.???
To show the negative of a square root, a negative sign would have to be placed outside the radical.
Answer:
Step-by-step explanation:
Because √-1 is an imaginary number √-1=i
They are imaginary because there are no same real numbers multiplyed that gives you a negative number
√4 = √2*2 ( +2*+2 =+4)
√4 = √-2*-2 (-2*-2 =+4)
√-1 = √? *? ( what same numbers multiplied gives you negative?...an imaginary one)
Round to the nearest thousand 5.2182
Answer:
5.218
Step-by-step explanation:
5 or more, you add one. Four or less, you change it to zero.
Solve for X.
Anyone plz help me asap!
Answer:
x = 9
Step-by-step explanation:
According to the midsegment theorem,
HG = ½(QS)
Thus:
21 + 2x = ½(2x + 24)
Multiply both sides by 2
2(21 + 2x) = 2x + 24
42 + 4x = 2x + 24
Collect like terms
42 - 24 = 2x - 4x
-18 = -2x
Divide both sides by -2
9 = x
x = 9
In a group of 100 students, 40 like Computer Science (group A), 30 like Philosophy
(group B), and 20 like both (group A∩B). If a student chosen randomly likes Computer
Science, what is the probability that they also like Philosophy?
Given:
Total number of student = 40
Students who like Computer Science (group A) = 40
Students who like Philosophy (group B) = 30
Students who like both (group A∩B) = 20
To find:
If a student chosen randomly likes Computer Science, what is the probability that they also like Philosophy?
Solution:
Let the following events,
A: Student like Computer Science
B: Student like Philosophy
Now,
[tex]P(A)=\dfrac{40}{100}=0.4[/tex]
[tex]P(B)=\dfrac{30}{100}=0.3[/tex]
[tex]P(A\cap B)=\dfrac{20}{100}=0.2[/tex]
We need to find the probability that the student like Philosophy if it is given that he likes Computer science, i.e, [tex]P(\dfrac{B}{A})[/tex].
Using conditional probability, we get
[tex]P(\dfrac{B}{A})=\dfrac{P(A\cap B)}{P(A)}[/tex]
[tex]P(\dfrac{B}{A})=\dfrac{0.2}{0.4}[/tex]
[tex]P(\dfrac{B}{A})=\dfrac{1}{2}[/tex]
[tex]P(\dfrac{B}{A})=0.5[/tex]
Therefore, the required probability is 0.5.
The ratio of cars to trucks in the parking lot is 3:5. If there are 360 vehicles in the parking lot, how
may are trucks?
Answer:
135
Step-by-step explanation:
3+5=8. 360÷8=45. 45×3=135
If the ratio of cars to trucks in the parking lot is 3:5. If there are 360 vehicles in the parking lot, then there are 225 trucks
What is Ratio?A ratio is an ordered pair of numbers a and b, written a / b where b does not equal 0.
The ratio of cars to trucks in the parking lot is 3:5.
there are 360 vehicles in the parking lot
(360-x)/x=3/5
Cross Multiplication
5(360-x)=3x
1800-5x=3x
1800=8x
x=225
So there are 225 trucks.
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I need help with this math please
Answer:
im answering for points
Step-by-step explanation:
sorry people who wanna answer
HELPPP ASAP!!!!!!! PLZZZ
Answer:
8/12
Step-by-step explanation:
Alan got 72 questions correct on the last math exam. He got 85 questions correct this time. By what percent did the number of questions correct increase? (Round to the nearest whole percent)
A. 84%
B. 16%
C. 118%
D. 18%
Answer:
D.
Step-by-step explanation:
the difference between 85 and 72 is 13. 13 is 18% of 72.
Books are on sale for $7. Peter has $30 dollars in his wallet. How many books can he buy?( interpret the remainder)
Answer:
He can buy 4 books with 2 dollars remaining
Step-by-step explanation:
30/7 = 4 R2
Answer: 4 books.
Explanation: First you divide $30 by 7, and you get 4 and 2/7 (2/7 as the remainder) left over. So you can't have 4 and 2/7 books, it has to be a whole number.
Therefore, he can buy 4 books. I hope this helped!
how many solutions does this problem have: 2(75 + 8) = 5(85 + 9)
0 solutions.
2(75+8) =5(85+9)
166≠470
a) Let X be a random variable that can assume only positive integer values, and assume its probability function is P(X -n) A/3^n for some constant A (n> 1). Find A.
b) Let X be a continuous random variable that can assume values between 0 and 3, and assume its density function is fx(x)- B(x2 +1) with some constant B (0< x ,3). Find B.
Answer:
a) The value of A = 2
b) The value of [tex]B = \dfrac{1}{12}[/tex]
Step-by-step explanation:
a)
Given that:
X should be the random variable that assumes only positive integer values.
The probability function; [tex]P[X = n] = \dfrac{A}{3^n}[/tex] for some constant A and n ≥ 1.
Then, let [tex]\sum \limits ^{\infty}_{n =1} P[X =n] = 1[/tex]
This implies that:
[tex]A \sum \limits ^{\infty}_{n =1} \dfrac{1}{3^n}= 1[/tex]
[tex]A \times \dfrac{\dfrac{1}{3}}{1 - \dfrac{1}{3}} = 1[/tex]
[tex]A \times \dfrac{\dfrac{1}{3}}{\dfrac{2}{3}} = 1[/tex]
[tex]A \times \dfrac{1}{2}=1[/tex]
A = 2
Thus, the value of A = 2
b)
Suppose X represents a e constant A (n> 1). Find A.
b) Let X be a continuous random variable that can assume values between 0 and 3
Then, the density function of x is:
[tex]f_x(x) = \left \{ {{B(x^2+1)} \ \ \ 0 \le x \le 3 \ \ \ \atop {0} \ \ \ otherwise} \right.[/tex]
where; B is constant.
Then, using the property of the probability density function:
[tex]\int ^3_0 \ B (x^2+1 ) \ dx = 1\\[/tex]
Taking the integral, we have:
[tex]B \Big [\dfrac{x^3}{3} +x \Big ]^3_0 = 1[/tex]
[tex]B \Big [\dfrac{3^3}{3} +3 \Big ]= 1[/tex]
[tex]B \Big [\dfrac{27}{3} +3 \Big ] = 1[/tex]
B [ 9 +3 ] = 1
B [ 12 ] = 1
Divide both sides by 12
[tex]B = \dfrac{1}{12}[/tex]
Joey made a deposit into
an account that earns 6%
simple interest. After 3
years, Joey had earned $400.
How much was Joey’s initial
deposit? __________________
According to the Rational Root Theorem, which number is a potential root of f(x) = 938 + 946 – 12x + 7?
Answer:
938
Step-by-step explanation:
So if you are taking a quiz it's C.
WILL GIVE BRAINLIEST
The difference of two numbers is 2. Their sum is 10. Find the numbers.
Answer:
6 and 4
Step-by-step explanation:
6 + 4 = 10
6 - 4 = 2
Hope this helped you :)
6 and 4
6-4 = 2
6+4 = 10
They tell you the sum is 10, so think of #'s that make 10:
1,9
2,8
3,7
4,6
5,5
Now, which ones make 2 when subtracted
9-1 = 8
8-2 = 6
7-3 = 4
6-4 = 2
5-5 = 0
Therefore, the answers are 6 and 4
please answer correctly!!
Answer:
Undefined
Step-by-step explanation:
What are fractions? Plz help
What is the slope of the line that passes through the points (-9,5) and (-17,5)? Write your answer in simplest form.
Answer:
0
Step-by-step explanation:
Without solving anything, we can tell that the line that crosses these points is a horizontal line because both of the y-coordinates are the same. This tells us that the slope of the line is 0.
To prove this, we can find the slope of the line by plugging the two points,[tex](x_1, y_1)[/tex] and [tex](x_2, y_2)[/tex], into the equation [tex]\frac{y_2-y_1}{x_2-x_1}[/tex].
[tex]\frac{y_2-y_1}{x_2-x_1}\\\frac{5-5}{-17-(-9)}\\= \frac{0}{-17+9)}\\= \frac{0}{-8}\\= 0[/tex]
Therefore, the slope of the line that passes through the points (-9,5) and (-17,5) is 0.
I hope this helps!
Sending Paypal to whoever gets this right ( i made this question)
BE? I don't really know lol
Someone please help me
If y is directly proportional to x and y =1200 when x=30, then what is the value of x when y=30?
Answer:
Y= 30
X= 0.75
Step-by-step explanation:
If the first Y was 1,200 and X was 30, then that means every time your divide Y by 40, you will get your X. It's the exact opposite if you want to find Y.
So you want to divide your Y, which is 30, by 40. Once who find your answer, you should have gotten 0.75 for X.
Why divide by 40? Good question. You divide by 40 because if you multiply your X example Y= 1,200, X= 30, you will get 30x40 which is 1,200. Do it the other way around divide 1,200 by 40, you get 30.
All in all your answer should be X= 0.75. If not tell me.
Thank You For Your Time