Answer:
3x2-3x+9
Step-by-step explanation:
(h-k)(3)
(X2+1-(x-2))(3)
(x2+1-x+2)(3)
3x2+3-3x+6
3x2-3x+9
Hello,
h(x)=x²+1
k(x)=x-2
First of all, you must understand that:
(h+k)(x)=h(x)+k(x)
So, (h+k)(3)=h(3)+k(3)=(3²+1)+(3-2)=(9+1)+1=11
3h(2)+2k(3)=3*(2²+1)+2*(3-2)
=3*(4+1)+2*1
=15+2
=17
When two numbers are added , the sum is the same regardless of the order of addends … what property is that ?
Answer:
commutative property
Step-by-step explanation:
Answer:
Commutative property
Step-by-step explanation:
Example:
2 + 3 = 3 + 2
5 = 5
Triangle DEF measures as shown below. What is x in the diagram?
E
50"
1050
F
D
Answer:
option D
Step-by-step explanation:
Exterior angle = sum of interior
105 = 50 + x
105 - 50 = x
55° = x
Level 1
A B C D
1
3
2
4
Enter the correct 4 digit code (no spaces) *
PLEASE I NEED HELP WITH THIS ONE!!!
An experiment using 35 guinea pigs is set up to study the weight of the pigs after injecting them with a drug. If the population mean is 23.5 grams with a standard deviation of 3.4 grams, what is the margin of error of the sample mean?
I ONLY NEED ONE ANSWER, AND HAS TO BE THE CORRECT ONE!
A. 0.097 grams
B. 0.575 grams
C. 0.701 grams
D. 1.149 grams
E. 1.403 grams
Answer:
Step-by-step explanation:
The margin of error for the sample is roughly 0.255 gm.
What is Standard Deviation?A set of values' variance or dispersion is measured by the standard deviation.
What is a confidence interval?A confidence interval is made up of the mean of your estimate plus and minus the estimate's range.
This is the range of values you expect your estimate to fall within if you repeat the test, within a given level of confidence. Confidence is another name for probability in statistics.
Given,
Standard deviation = 3.4 gm
Population mean = 23.5 gm
Number of pigs = 35
We know, Margin of Error = [tex]\frac{\sqrt{\mu\times\sqrt{\sigma}}}{n}[/tex]
ME = [tex]\frac{\sqrt{23.5\times\sqrt{3.4}}}{35}[/tex].
ME = 0.225 gm.
As a result, the sample mean's margin of error is roughly 0.255 gm.
Learn more about Standard Deviations here
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PLEASE HELP ME ITS DUE SOON
Can someone help me with this
Answer:
the awnser is A i was just studing about it
024
+2]
Answer to this ?
Answer:
[tex]4 \times \frac{11}{12} [/tex]
also equals 4.9
You roll two six-sided dice numbered from one through six. What is the probability that the sum of the two dice is greater than or equal to six? Round your answer to two decimal places.
Answer:
ok so so here are the numbers equal to 6
1,5
5,1
2,4
4,2
3,3
so five options and there are 36 possible outcomes(6*6)
so 5/36 or 0.14
Hope This Helps!!!
The solution is, the probability that the sum of the two dice is greater than or equal to six is 0.14.
What is probability?Probability can be defined as the ratio of the number of favorable outcomes to the total number of outcomes of an event.
here, we get,
You roll two six-sided dice numbered from one through six.
so here are the numbers equal to 6
1,5
5,1
2,4
4,2
3,3
so five options and there are 36 possible outcomes(6*6)
we get, sample space = 36
favorable outcome = 5
probability = 5/36
so 5/36 or 0.14
To learn more on probability click:
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Look at the figure. Which point is coplanar with points B, C, and H?
E
G
D
A
==========================================
Explanation:
Points B, C and H are along the right wall as I've highlighted below. The fourth missing point of this wall is point G
The term "coplanar" means that all points are on the same plane. A plane is any flat surface that doesn't bend or curve.
solve for x: 5x+9=39
Answer:
5x+9=39
5x=39-5
5x÷5=30÷5
x=6
In the figure below, ZAPE and ZEPD are congruent.
What is the arc measure of major arc BAD on circle P in degrees?
Answer:
54degrees
Step-by-step explanation:
From the given diagram;
2<P + 136 + 74 + 42 = 360 (sum of angle at a point is 360degrees)
2<P +252 = 360
2<P = 360 - 252
2<P = 108
<P = 108/2
<P = 54
Hence the measure of <P is 54degrees
Susan rolled a die 888 times.
Which of the following would be a good estimate of the number of times she rolled the number 3 on the die?
A. 248
B. 260
C. 151
D. 103
Answer:
C. 151
Step-by-step explanation:
Since there are 6 sides on a die, and one of them is 3, the chance of rolling a 3 is 1/6.
To estimate how many times Susan rolled a 3, multiply 888 by 1/6:
888(1/6)
= 148
So, Susan rolled 3 on the die around 148 times.
This is closest to answer choice C. 151
If the area of a circle is 154cm2 what is the radius of that circle
Answer:
7
Step-by-step explanation:
If you use the pi button:
the radius is 7
154cm² ÷ pi = 49
Square root of 49 = 7
The defensive coaches had hoped that the average number of tackles of the opponent’s QB would increase during the game in a distribution of 15% of the tackles in the first quarter,15% in the second,30% in the third, and 40% in the fourth. The mean number of tackles for the 2007 season was as follows: 37, 35, 73, 40. Did the mean sacks per game fit the desired distribution? Let a = 0.10.
5. Mr. Q's class is having a give-
away where his students can
receive 100 classroom credits.
He will pull names out of a hat
and select two winners. Once a
student wins, they are not
eligible to win a second time. If
there are 40 total people in the
class, including you and your
best friend.
What is the probability that both you and your best friend get the 100 classroom
credits? (Show work please)
Answer:
The probability that both me and my best friend get the 100 classroom credits is 0.06%.
Step-by-step explanation:
Since Mr. Q's class is having a give-away where his students can receive 100 classroom credits, and he will pull names out of a hat and select two winners, and once a student wins, they are not eligible to win a second time, if there are 40 total people in the class, including me and my best friend, to determine what is the probability that both me and my best friend get the 100 classroom credits, the following calculation must be performed:
I = 1/40 = 0.025
my best friend = 1/39 = 0.02564
0.02564 x 0.025 = X
0.0006410 = X
X x 100 = 0.064
Therefore, the probability that both me and my best friend get the 100 classroom credits is 0.06%.
Celia simplified the expression Negative 4 x (1 minus 3) minus (2 x + 2). She checked her work by letting x = 5 in both expressions. Her work for the original expression is shown below.
Negative 4 x (1 minus 3) minus (2 x + 2) = negative 4 (5) (1 minus 3) minus (2 (5) + 2) = negative 20 (negative 2) minus 12 = 40 minus 12 = 28.
Celia knows that the simplified expression should also equal 28 when x = 5. Which shows Celia’s simpllifed expression?
Answer:
-4x (1-3) - (2x + 2)
-4(5)(1-3) - (2(5) + 2)
-20(1-3) - (10 + 2)
-20(-2) - (12)
40 - (12)
28
Step-by-step explanation:
plz help me i am trying to get this done
Answer:
2700
Step-by-step explanation:
108*25=2700
100*25=2500
+
8*25=200
-------------------------------
2700
If x=7, then 2x * x=
Step-by-step explanation:
putting x= 7
2x7x7
2x49
98(ans)
Solve for x in the triangle. Round your answer to the nearest 10th.
Answer:
x = 35.3
Step-by-step explanation:
tan(63°) = x/18
18 · tan(63°) = x
35.3 = x
Calculate the five-number summary (min, , med, , max) for the following set of data.
Daily Pollen Count: 102, 84, 100, 85, 137, 124, 97, 122
List in order from least to greatest.
Answer:
84,85,97,100,102,122,124,137
Susan’s ribbon  is 3.8 metres long. What is the length of her ribbon in millimetres?
show working out
3800 mm
Hope it helps you...
Thank you!!
Hello if you're able to answer this question for me please do and provide work, Thank you
Milauskasville Middle School's Crazy Hair Club sold tickets to it's "Hair Today, Gone Tomorrow" talent show. A total of 55 tickets were sold in the amount of $176.50. If adult tickets cost $3.75 and student tickets cost $2.00, how many adult tickets and student tickets were sold?
Answer:
I'm not 100% positive, but I think it's 30
Use trigonometric ratios to solve each right triangle. Be sure to rationalize the denominators when you write your answers.
Answer:
[tex]sin(45)=\frac{AC}{AB} =\frac{AC}{12} \\AC=12\times sin(45)=12\times \frac{\sqrt{2}}{2}=6\sqrt{2}\\ cos(45)=\frac{CB}{AB} =\frac{CB}{12} \\CB=12\times cos(45)=12\times \frac{\sqrt{2}}{2}=6\sqrt{2}[/tex]
Step-by-step explanation:
[tex]sin(45)=\frac{AC}{AB} =\frac{AC}{12} \\AC=12\times sin(45)=12\times \frac{\sqrt{2}}{2}=6\sqrt{2}\\ cos(45)=\frac{CB}{AB} =\frac{CB}{12} \\CB=12\times cos(45)=12\times \frac{\sqrt{2}}{2}=6\sqrt{2}[/tex]
How many ways can nick choose 5 pizza toppings from a menu of 11 toppings
Simplify (4xy)(2x2y)(3xy)3.
Answer: 72x(elevated 4)y(elevated 3)
Step-by-step explanation:
4xy(2x2y)(3xy)(3)
Suppose you plan to go out for a picnic during spring break. You plan to bring sandwiches, fruits, and drinks. But you only have one picnic basket that can only hold a certain capacity. Each of the items has a value and a size, and you cannot hold all your items in the basket. The picnic basket can hold a total size of 17. Given that the size and the value of items are as follows, how many of each item should you bring to maximize the total value?
Size Value
Sandwich 9 6
Fruit 3 4
Drink 4 6
a) List and explain carefully what the decision variables are.
b) Write out the objective function.
c) Write out the constraints.
d) Write the linear program.
e) Solve the Linear Programming problem using excel. Show your results.
Answer:
e) z (max) = 24
x₁ = x₂ = 0 x₃ = 4
Step-by-step explanation:
a) The problem requires maximizing the total value from sandwich fruits and drink, therefore the objective function is associated to the sum of the values of each value.
We have three variables xi ( x₁, x₂, x₃ ) the values of sandwich, fruits and drink, and we have to maximize such quantities subject to the constraint of size (the capacity of the basket)
b) z = 6*x₁ + 4*x₂ + 6*x₃ Objective Function
Constraint :
basket capacity 17
9*x₁ + 3*x₂ + 4*x₃ ≤ 17
General constraints:
x₁ ≥ 0 x₂ ≥ 0 x₃ ≥ 0 all integers
e) z (max) = 24
x₁ = x₂ = 0 x₃ = 4
NOTE: Without the information about fractional or decimal feasible solution we decided to use integers solution
Need help asap! Please and thank you
Answer:
the solutions are _2 and 3/4 so the answer is option D
Student spend 5 minutes of every 60 minutes at school moving from class to class. Which fraction is equivalent to the number of minutes student spend moving from class to class?
Answer:
10/120
Step-by-step explanation:
Assume that y varies inversely with x. If y = 7 when x = 2/3, find y when x = 7/3.
y = [?]
Answer:
y = 2
Step-by-step explanation:
varies inversely
xy = k
y = 7 when x = 2/3
(2/3)7 = k
14/3 = k
k = 14/3
--------------------
find y when x = 7/3
(7/3)y = 14/3
multiply both sides by 3/7
y = 14/3 * 3/7
y = 2
Answer: y = 2
Step-by-step explanation: When we have two sets of inversely related coordinates, x₁ and y₁, and x₂ and y₂, we can use the product rule, shown below, to find the missing value.
x₁y₁ = x₂y₂Since we know that y = 7 when x = 2/3, one set of coordinates will be 7 and 2/3 and since we want to find the value of y when x = 7/3, our other coordinates will be 7/3 and y.
(2/3)(7) = (7/3)(y)
So we have 14/3 = 7/3y and solving for y from here, we find that y = 2.
