Given:
The two models for the two polynomials.
To find:
The sum of the given polynomials.
Solution:
From the given figure, it clear that
[tex]\text{First polynomial}=a^2+a+2[/tex]
[tex]\text{Second polynomial}=-a-1[/tex]
Adding both polynomials, we get
[tex]Sum=a^2+a+2+(-a-1)[/tex]
[tex]Sum=a^2+a+2-a-1[/tex]
[tex]Sum=a^2+1[/tex]
Therefore, the correct option is A.
HELP I WILL GIVE BRAINLEIST OR WHATEVER 50 POINTS
answer:
a. scarf costs today = $6
b. scarf costs 3 days from now = $3
step-by-step explanation:
1/2 off means you would multiply the amount by 1/2 then subtracta. original price of scarf: $12
12 X 1/2 = 6
12 - 6 = 6
— scarf costs today = $6
do the same thing but this time it is a different numberb. 12 X 3/4 = 9
12 - 9 = 3
— scarf costs 3 days from now = $3
I will mark you brainalist
Answer:
4.6
Step-by-step explanation:
the first equation will be y=1.2x+4.6
the second will be y=0.8x+54.6
then i plugged the system of equations and that was where they met at :)
Answer:
for sure B
Step-by-step explanation:
I need help please.
Answer:
may it help you..MARK ME AS BRAINLISTS PLS
Use the Distributive Property to write an expression that is equivalent to 2(3v + 6)
Answer:
6v + 12
Step-by-step explanation:
2(3v+6) = 2 * 3v + 2 * 6 = 6v + 12
Hope this helps =]
(1 point)
Only answer if you know!!! Meg was deep-sea diving at 15 feet below sea level. She dove another 7 feet below sea level. How far
below sea level was Meg?
O 8 ft below sea level
O 12 ft below sea level
O 22 ft below sea level
Answer:
22 feet below sea level
Step-by-step explanation:
she kept going down, basically in a negative way. adding to the already below sea level
an ice cream company made 38 batches of ice cream in 7.6 hours. assuming A CONSTANT RATE OF PRODUCTION, AT WHAT RATE IN HOURS PER BATCHWAS THE ICE CREAM MADE. (hours per batch)
Answer:
5 batches per hour
Step-by-step explanation:
Within a computer program, the number of bugs (i.e., coding errors) per lines of code has a Poisson distribution with an average of fifteen bugs per 1,000 lines. a. Find the probability that there will be exactly eight bugs in 1,000 lines of code. b. Find the probability that there will be at least eight bugs in 1,000 lines of code. c. Find the probability that there will be at least one bug in 1,000 lines of code. d. Find the probability that there will be no more than
Answer:
[tex]P(X=8) = 0.0194[/tex]
[tex]P(X \ge 8)= 0.9820[/tex]
[tex]P(X \ge 1)= 1[/tex]
[tex]P(X\le 1) = 0.0000049[/tex]
Step-by-step explanation:
Given
[tex]\lambda = 15[/tex]
Poisson distribution is given by:
[tex]P(X=x) = \frac{\lambda^x e^{-\lambda}}{x!}[/tex]
Solving (a): 8 bugs
This implies that:
[tex]x = 8[/tex]
So, we have:
[tex]P(X=8) = \frac{15^8 * e^{-15}}{8!}[/tex]
[tex]P(X=8) = \frac{783.99418938}{40320}[/tex]
[tex]P(X=8) = 0.0194[/tex]
Solving (b): At least 8 bugs
This is represented as: [tex]P(X \ge 8)[/tex]
Using complement rule:
[tex]P(X \ge 8)= 1 - P(X<8)[/tex]
Where
[tex]P(X<8) = P(X=1) + P(X=2) + P(X=3) + P(X=4) + P(X=5) + P(X=6) + P(X=7)[/tex]
[tex]P(X<8) = \frac{15^1 * e^{-15}}{1!} + \frac{15^2 * e^{-15}}{2!} + \frac{15^3 * e^{-15}}{3!} + \frac{15^4 * e^{-15}}{4!} + \frac{15^5 * e^{-15}}{5!} + \frac{15^6 * e^{-15}}{6!} + \frac{15^7 * e^{-15}}{7!}[/tex]
[tex]P(X<8) = (\frac{15^1}{1!} + \frac{15^2}{2!} + \frac{15^3 }{3!} + \frac{15^4}{4!} + \frac{15^5}{5!} + \frac{15^6}{6!} + \frac{15^7}{7!}) e^{-15}[/tex]
[tex]P(X<8) = (15 + 112.5 + 562.5 + 2109.375 + 6328.125 + 15820.3125 + 33900.6696429) *e^{-15}[/tex]
[tex]P(X<8) = 58848.4821429 *e^{-15}[/tex]
[tex]P(X<8) = 0.0180[/tex]
So:
[tex]P(X \ge 8)= 1 - P(X<8)[/tex]
[tex]P(X \ge 8)= 1 - 0.0180[/tex]
[tex]P(X \ge 8)= 0.9820[/tex]
Solving (c): At least 1
This is represented as: [tex]P(X \ge 1)[/tex]
Using complement rule:
[tex]P(X \ge 1)= 1 - P(X<1)[/tex]
[tex]P(X<1) = P(X = 0)[/tex]
[tex]P(X<1) = \frac{15^0 e^{-15}}{0!}[/tex]
[tex]P(X<1) = \frac{e^{-15}}{1}[/tex]
[tex]P(X<1) = e^{-15}[/tex]
So:
[tex]P(X \ge 1)= 1 - P(X<1)[/tex]
[tex]P(X \ge 1)= 1 - e^{-15[/tex]
[tex]P(X \ge 1)= 0.99999969409[/tex]
[tex]P(X \ge 1)= 1[/tex]
Solving (d): Not more than 1
This implies at most 1.
It is represented as:
[tex]P(X\le 1)[/tex]
It is calculated using:
[tex]P(X\le 1) = P(X = 0) + P(X =1)[/tex]
[tex]P(X = 0) = e^{-15}[/tex]
[tex]P(X=1) = \frac{15^1 * e^{-15}}{1!}[/tex]
[tex]P(X=1) = 15 * e^{-15}[/tex]
So:
[tex]P(X\le 1) = e^{-15} + 15 * e^{-15}[/tex]
[tex]P(X\le 1) = 0.00000489443[/tex]
[tex]P(X\le 1) = 0.0000049[/tex]
A pound of chocolate costs 8 dollars. Yoko buys p pounds. Write an equation to represent the total cost c that Yoko pays.
Answer:
8×p≈c
Step-by-step explanation:
Because if each is 8 dollars you would multpy the number (Or Letter) by how many you want or have.
I need help with this problem asap :(
Answer:
m<P=130°
m<Q=130°
m<R=50°
Step-by-step explanation:
m<P=130
m<Q=130
m<R=50
help me FAST :> math problem 15 points come on please
Answer:
D
Step-by-step explanation:
z+nm is equiveland to mn+z since its the same equation but wrote in different positions.
Answer: the answer is D
Z + nm
can someone please help me
Answer:
2x + x + 63 = 180 to find x.
m<1 = 78 degrees
m<2 = 102 degrees
Step-by-step explanation:
Combine like terms: 3x + 63 = 180
Subtraction: 3x = 117
Division: 3x/3 = 117/3
Final Answer: x = 39
m<1 = 2(39) = 78 degrees
m<2 = (39 + 63) = 102 degrees
Check work: 102 + 78 = 180
(180 is the measure of a straight line such as the one represented here)
AccelGR7_Math_T6_FSQ_OL_FY21
Look at this system of linear equations.
S2x + 3y =-4
ly = 2x +4
What is the solution to the system of linear equations?
X = -2, y = 0
x= – 1, y = 2
x = 4, y = - 4
x = 2, y = 8
Answer:
x=-2 and y =0
Step-by-step explanation:
2x + 3y=-4
y=2x + 4
2x -y = -4
4y= 0
y = 0
2x -0=-4
2x =-4
x=-2
I need help please.
Answer:
Answer is C hope this helps
Step-by-step explanation:
Consider the proposition
2x + 5 > 13
(a) is the condition x > 0 necessary, or sufficient, or both necessary and sufficient for the
inequality to be satisfied?
(b) Answer the same question when x 0x is replaced by x 50
(c) Answer the same question when x > 0 is replaced by x > 4.
your answer is C
your answer is C
your answer is C
your answer is C
your answer is C
Answer:
C
Step-by-step explanation:
2x+5=13
2x+5-5=13-5
2x=8
2x/2=8/2
X=4
Ali's dog weighs 8 times as much as her cat together the two pets weigh 54 lb how much does Ali's dog weigh
Answer:
48
Step-by-step explanation:
Cat = x
Dog = 8x
x + 8x = 54
9x = 54
x = 6, Dog = 8 * 6 = 48
1. What is the purpose of using a control group and an experimental group in a research study? Give an
example of a situation where they would be used.
Answer:
A control group is used in an experiment as a point of comparison.
Step-by-step explanation:
By having a group that does not receive any sort of treatment, researchers are better able to isolate whether the experimental treatment did or did not affect the subjects who received it.
A group of 10 friends shared 5 large cinnamon rolls equally. What fraction of a cinnamon roll does each person get. Explain your thinking.
What is the inverse function of y=5x + 1
Answer:
5x - 1
Step-by-step explanation:
i don't know hw to explain it but that's the answer
A rectangle is 5 times as long as it is wide. The perimeter is 50 cm. Find the dimensions of the rectangle. Round to the nearest tenth if necessary.
Answer:
Dimensions = 21 centimeters by 4.2 centimeters.
Step-by-step explanation:
Let the length of the rectangle be L.
Let the width of the rectangle be W.
Given the following data;
Perimeter of rectangle = 50cm
Translating the word problem into an algebraic expression, we have;
L = 5W
To find the dimensions of the rectangle;
Perimeter of rectangle = 2L + 2W
50 = 2L + 2W
50 = 2(5W) + 2W
50 = 10W + 2W
50 = 12W
W = 50/12
W = 4.2 cm.
To find the length;
L = 5W
L = 5*4.2
L = 21 cm.
What is the value of x?
Enter your answer in the box.
X =
Answer:
free
Step-by-step explanation:
Answer:
x = 3
Step-by-step explanation:
ok then, firstly, lets make line CB into y
sin45 / y = sin 90 / 6[tex]\sqrt{2}[/tex]
in other words, as sin 90 = 1
y / sin45 = 6[tex]\sqrt{2}[/tex]
y = sin 45 * 6[tex]\sqrt{2}[/tex] = 6 as sin 45 = root2/2, and root2 * root 2 = 2, so
6*2/2 = 6
we also know BCD is 30*, as angles in a tri add up to 180*
so, x/sin30 = 6/sin90 = 6
x/sin30 = 6
6*sin30 = x
x = 3 as sin 30 = 1/2
Please show your work
Answer:
9(3+c+4)=
27+9c+36=
63+9c=
Step-by-step explanation:
9(3+c+4)=
27+9c+36=
63+9c=
what is 1/2 + 1/3 i know it’s so simple i’m just so bad at maths
please help it due rn
Answer:
I think that the answer would be C .
hope it was helpful :)
Derek and his friend share two small pizzas Derek ate 7/6 of the pizzas which mixed number shows how much pizza Derek ate
3. Classify the triangle with the given side lengths as acute, right, obtuse, 10 points
or not a triangle: 11, 13, 25
Not a triangle
Acute
Right
Obtuse
4. Classify the triangle with the given side lengths as acute, right, obtuse, 10 points
or not a triangle. 21, 28, 35
Not a triangle
Acute
Right
Obtuse
Answer:
3) Obtuse
4) Right
Step-by-step explanation:
3)
11 + 13 > 25 It is a triangle
11² + 13² = 25²
121 + 169 = 625
290 ≠ 625
Since hypotenuse is larger, the triangle is obtuse
4)
21 + 28 > 35 It is a triangle
21² + 28² = 35²
441 + 784 = 1225
1225 = 1225
Since the hypotenuse is equal to the legs, it's a Right triangle
5x + (1x+6)= 78
BARDZO POTRZEBUJĘ
Answer: x = 12
Step-by-step explanation:
1. add 5x + 1x which will equal 6x so now your equation is: 6x + 6 = 78
2. subtract 6 from 78 to get 72: 6x = 72
3. divide 72 by 6x to get your answer 12
Answer:
x = 12
Step-by-step explanation:
6x + 6 = 78
6x = 78 - 6
6x = 72
x = 72 / 6
x = 12
Mam nadzieję, że to pomoże!
Need help on this math ASAP I will give the brainiest to the person who answers this correctly! Do the ones that are circled in red please. (67 points to the person who answers this)
The solution is, 0.39 = 39% of probability.
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 have,
When you need to calculate probabilities involving "or" questions, in general you should use the following formula: , where P(A) is the probability of event A and P(B) is the probability of event B.
In the problem given, P(A) = yes and P(B) = male, then:
P(yes) = 33/100
= 0.33
P(male) = 20/100
= 0.20 (all male that answered the question)
P(yes and male)
= 14/100
= 0.14 (all male that answered yes to the question)
P(yes or male) = P(yes) + P(male) - P(yes and male)
= 0.33+0.20-0.14
= 0.39
=39%
Hence, The solution is, 0.39 = 39% of probability.
To learn more on probability click:
brainly.com/question/11234923
#SPJ3
Complete question:
One hundred people were asked, "Do you favor the death penalty?" Of the 33 that answered "yes" to the question, 14 were male. Of the 67 that answered "no" to the question, six were male. If one person is selected at random, what is the probability that this person answered "yes" or was a male?
Rory earned an 84% on his test. He answered 21 questions correctly. How many total questions were on the
test? Round to the nearest tenth if necessary
Answer:
25 questions,
$18.75
Step-by-step explanation:
Remember, to change percents to decimals, divide the number by 100 and remove the parentheses.
1. 84%, or 21 questions of Roy's test were correct.
Let's set the number of questions on the test as "x". We can then write this equation:
84% * x = 21
Simplify.
0.84 * x = 21
Divide both sides by 0.84
x = 25
There were 25 questions on the test.
2. Cheesecake Factory question
We need to find 15% of 125.
15% * 125 =
0.15 * 125 =
18.75
They need to leave a $18.75 tip.
I hope this helps! Feel free to ask any questions!
45633 seconds en heures minutes et seconds
select the three expressions that are equivalent to 3/5a + 10
A. 1/5a + 10 + 2/5a
B. a(3/5 + 10)
C. 14 + 3/5a - 4
D. 1/5 (3a + 50)
E. 10 + 2/5a - a + 1/5a
Answer:
A, C and D
Step-by-step explanation:
Given
[tex]\frac{3}{5}a + 10[/tex]
Required
Select 3 equivalent expressions
[tex]\frac{3}{5}a + 10[/tex]
Express 3 as 2 + 1
[tex]\frac{2 + 1}{5}a + 10[/tex]
Rewrite as:
[tex]\frac{2a + a}{5} + 10[/tex]
Split
[tex]\frac{2a}{5} + \frac{a}{5} + 10[/tex] ----- Option (A)
[tex]\frac{3}{5}a + 10[/tex]
Express 10 as 14 - 4
[tex]\frac{3}{5}a + 14 - 4[/tex]
Rewrite as:
[tex]14+\frac{3}{5}a - 4[/tex] --- Option (C)
[tex]\frac{3}{5}a + 10[/tex]
Factor out 1/5
[tex]\frac{1}{5}(3a + 50)[/tex] --- Option D
Answer:
Option D
Step-by-step explanation:
You can give the guy/girl above Brainliest ^^
They rlly went out of their way to answer that question for you.
They deserve it!