Answer:
I'm pretty sure its 16, so sorry if im wrong. Good luck!<3
You are in charge of buying pizzas for the math club meeting. The individual pizzas cost $5 each, and the large pizzas cost $10 each. You have $80 to spend. Write an equation that matches this situation.
Answer:
Big pizzas = B. Normal pizzas = N;
10B + 5N = 80
Step-by-step explanation:
Required equation that matches the given situation is 5x+10y = 80
What is equation?A mathematical equation which represents the relationship of constants and variable with Arithmetic operationsIt has one variable or more than one variable.It has equal to symbol.For Example: 3y-8 = 1, it has the solution y = 3.Let the number of individual pizza be x
Let the number of large pizza be y
Cost to be spent is $80
Cost of individual pizza = $5
Cost of large pizza = $10
The equation matched this situation is 5x + 10y = 80.
Hence, the required equation is 5x + 10y = 80
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Factor the polynomial:4x^4y^2-16x^4y^2+8x^2y
Answer:
[tex]4x^2y(x^2y - 4x^2y+2)[/tex]
Step-by-step explanation:
Given
[tex]4x^4y^2-16x^4y^2+8x^2y[/tex]
Required
Factor
[tex]4x^4y^2-16x^4y^2+8x^2y[/tex]
Factor out [tex]4x^2[/tex]
[tex]4x^2(x^2y^2 - 4x^2y^2+2y)[/tex]
Factour out y
[tex]4x^2y(x^2y - 4x^2y+2)[/tex]
(20 points) Of all the TVs of a certain model that are sold, 10% require repair to be done under the warranty during the first year service. A particular dealership sells 18 such TV per week. a) What is the probability that exactly two of them require warranty repairs
Answer:
0.2835 = 28.35% probability that exactly two of them require warranty repairs.
Step-by-step explanation:
For each TV, there are only two possible outcomes. Either they require warranty repairs, or they do not. The probability of a TV requiring warranty repairs is independent of any other TV, which means that the binomial probability distribution is used 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% require repair to be done under the warranty during the first year service.
This means that [tex]p = 0.1[/tex]
A particular dealership sells 18 such TV per week.
This means that [tex]n = 18[/tex]
a) What is the probability that exactly two of them require warranty repairs?
This is [tex]P(X = 2)[/tex]. So
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 2) = C_{18,2}.(0.1)^{2}.(0.9)^{16} = 0.2835[/tex]
0.2835 = 28.35% probability that exactly two of them require warranty repairs.
An additional amount of money added to borrowed money only on principal is what kind
of interest?
-Interest rate
-Terms
-Simple Interest
-Compound interest
Answer:
simple interest
Step-by-step explanation:
An additional amount of money added to borrowed money only on the principal could be simple interest.
How to calculate a simple interest amount?If the initial amount (also called as principal amount) is P, and the interest rate is R% annually, and it is left for T years for that simple interest, then the interest amount earned is given by:
[tex]I = \dfrac{P \times R \times T}{100}[/tex]
Since, the initial amount (also called as principal amount) is P, and the interest rate is R% per unit of time, it is left for T unit of time for that compound interest.
we can conclude that the additional amount of money added to borrowed money only on principal is simple interest.
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The side lengths of a triangle are 5, 12, and 13. Is this a right triangle?
Answer:
yes, it is right triangle
Step-by-step explanation:
to know if it is right triangle or not, you need to assume that the longest side is the hypotenuse which is 13.
next, the angle between 12 and 5 must be 90 to prove that it was right triangle
to prove that, let's use cosinus theorem
[tex] {13}^{2} = {12}^{2} + {5}^{2} - 2(12)(5) \cos(x) \\ 2(12)(5) \cos(x) = {12}^{2} + {5}^{2} - {13}^{2} \\ \cos(x) = \frac{ {12}^{2} + {5}^{2} - {13}^{2} }{2(12)(5)} \\ \cos(x ) = 0 \\ x = 90[/tex]
from that, we know it is a right triangle
The makers of MaxGrow want to ensure customers that their product will work under a wide variety of conditions such as a variety of watering conditions (no added water or watering daily) and how much fertilizer was used (no fertilizer, half fertilizer, or full fertilizer). The researchers randomly choose which group each tomato plant will be assigned to. At the end of the experiment, the number of tomatoes picked from each tomato plant is recorded.
a. Identify the subjects.
b. Explanatory variables
c. Treatments
d. Response variable
Answer:
Subject : Tomato plant
Explanatory variables : Watering condition ; Fertilizer addition
Treatment : daily watering ; half fertilizer ; full fertilizer
Response variable = Number of tomato picked
Step-by-step explanation:
Subjects are the individuals, animals or plants upon which treatment is applied. The subject here are the tomato plants
The Explanatory variables are the independent variables upon which we want base the variation of the dependent variable. The Independent variables are the watering condition a d the amount of fertilizer added.
Treatment : These are the actual changes made or applied on the subject, they include, daily watering, full or half fertilizer application.
Response variable : The number of tomatoes picked. This is also called the dependent variable, it is the outcome which may be due to the effect of the independent variable.
A simple random sample of 6,250 history majors at U.S. universitites was taken. Almost all of them could correctly name Abraham Lincoln's second Vice President, but only 11.3% of them knew his first Vice President. If possible, find a 95%-confidence interval for the percentage of history majors at U.S. universities who knew Abraham Lincoln's first Vice President. If this is not possible, why not
Answer:
The 95%-confidence interval for the percentage of history majors at U.S. universities who knew Abraham Lincoln's first Vice President is (10.5%, 12.1%).
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.
[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
In which
z is the z-score that has a p-value of [tex]1 - \frac{\alpha}{2}[/tex].
6250 students, 11.3% knew Abraham Lincoln's first vice-president.
This means that [tex]n = 6250, \pi = 0.113[/tex]
95% confidence level
So [tex]\alpha = 0.05[/tex], z is the value of Z that has a p-value of [tex]1 - \frac{0.05}{2} = 0.975[/tex], so [tex]Z = 1.96[/tex].
The lower limit of this interval is:
[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.113 - 1.96\sqrt{\frac{0.113*0.887}{6250}} = 0.105[/tex]
The upper limit of this interval is:
[tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.113 + 1.96\sqrt{\frac{0.113*0.887}{6250}} = 0.121[/tex]
As percentages:
0.105*100% = 10.5%
0.121*100% = 12.1%
The 95%-confidence interval for the percentage of history majors at U.S. universities who knew Abraham Lincoln's first Vice President is (10.5%, 12.1%).
Alejandra wants to raise at least $400 for charity. She has 190 that she will be donating. Alejandra plans to ask her friends to contribute $15 each. Write an inequality that represents Alejandra’s situation.How many friends will need to contribute for Alejandra to reach her goal?
Answer:
15x + 190 >= 400
* >= means greater than or equal to *
at least 14 friends
Step-by-step explanation:
without the inequality it'd be 15x + 190 = 400
but since you want it to be at least 400 you change the = to the greater than or equal to sign
15x + 190 = 400 * subtract 190 from both sides*
15x = 210 *divide both sides by 15*
x = 14
is 3/8 greater that 1/2
Answer:
no
Step-by-step explanation:
Answer:
so the answer is no
Step-by-step explanation:
To get the answer, we first convert each fraction into decimal numbers. We do this by dividing the numerator by the denominator for each fraction as illustrated below:
3/8 = 0.375
1/2 = 0.5
Then, we compare the two decimal numbers to get the answer.
0.375 is not greater than 0.5.
Therefore, 3/8 is not greater than 1/2 and the answer to the question "Is 3/8 greater than 1/2?" is no.
what is the value of the expression ? 11.263 ÷ 11.21
Answer:
1.004728
Step-by-step explanation:
Mark as brainllest
plzzzzzzzz help for a brainly
Answer:
Complementary angles are 90°
Supplementary angles are 180°
Vertical angles are congruent
Answer:
Complementary Angles: add up to 90
Supplementary Angles: add up to 180
Vertical Angles: are congruent(equal)
Step-by-step explanation:
Find the length of the third side. If necessary, write in simplest radical form. 9 5
Step-by-step explanation:
[tex](9) {}^{2} = (5) {}^{2} + (x) {}^{2} \\ 81 = 25 + {x}^{2} \\ {x}^{2} = 56 \\ x = 2 \sqrt{14} = 7.4[/tex]
Can somebody please help me
Step-by-step explanation:
For y = 2^x:
f(-3) = 2^-3. f(-2) = 2^-2. f(-1) = 2^-1
= 1/8 = 1/4. =1/2
f(0) = 2^0 f(1) = 2^1. f(2) = 2^2
= 1 = 2. =4
f(3) = 2^3
=8
For 3y = 7x + 3, y= (7x+3)/3
f(-3) = [7(-3)+3] / 3. f(-2) = [7(-2)+3] / 3
= -6. = -11/3
f(-1) = [7(-1)+3] / 3. f(0) = [7(0)+3] / 3
= -4/3 = 1
f(1) = [7(1)+3] / 3. f(2) = [7(2)+3] / 3
= 10/3 = 17/3
f(3) = [7(3)+3] / 3.
= 8
point of intersection, where y=2^x and 3y = 7x + 3 has the same x and y coordinate
Answer: (0,1) and (3,8)
Given that the triangles shown below are similar, what is the value of x? 32 20 H 48M P A. 96 B. 10.7 C. 24 D. 20
Answer:
I DONT SEE TRIANGLES
Step-by-step explanation:
At a school, there are 28 students for every 2 teachers. What is the ratio of teachers to students?
14:1
If im wrong oops
Answer: 1:14
Step-by-step explanation:
28/2 = 14
Sasha went shopping and decided to purchase a set of bracelets for 25% off the regular price, $44.00. If Sasha buys the bracelets today, she will save an additional 5%. Find the sales price of the set of bracelets with both discounts. How much money will Sasha save if she buys the bracelets today?
Answer: the answer is #31.35
Step-by-step explanation:
PLSSSSS ASAP!!!! Determine the perimeter of the rectangle shown below.
Answer:
D. 42 units
Step-by-step explanation:
The perimeter of the rectangular shown on the coordinate plane = sum of all it's four sides
= 2(length + width)
Length = 11 units
Width = 10 units
Plug in the values
Perimeter = 2(11 + 10)
= 2(21)
= 42 units
If y=−3, then 4y/4+y = ?
Answer:
If y=−3,
then
4y/4+y
=4×(-3)/4+(-3)
= -12/1
= -12 ,,
C What is the volume of the rectangular prism? 3 2 3. m 8 mm 9 mm
Answer:
267.75
Step-by-step explanation:
i think this because that what I got by multiplying 3 1/2 x 9 x 8 1/2
Plz help me well mark brainliest if correct.........?
Answer:
The answer is B
Step-by-step explanation:
8 times 12 = 96
2L + 2W = 40
2(8) + 2(12) = 40
because
16 + 24 = 40
Hope this helps!
Write all even numbers between 73 and 83.
Answer:
74,76,78,80,82
Step-by-step explanation: even numbers are whole numbers that have 0,2,4,6,8 in their ones place
Troy works as a server at a restaurant. At the end of the week he
gives of his total tips to the hostess. After that, he gives of
his remaining tip money to the cooks. There are 4 cooks and they
split the money evenly. If each cook receives $6.00, how much
money did Troy start out with?
Answer:
48
Step-by-step explanation:
$6.00 × 4 = 24
he gives of his total tips to the hostess which is 24 . so 24 + 24 = 48
if anyone needs help with figuring out the triangle degrees math stuff im the gal! I will take a look at it and walk u threw it/explain how i got the answer or other math like linear equations!
Find the angle which is vertical
Answer:
<2
Step-by-step explanation:
A vertical angles are "pairs of opposite angles made by two intersecting lines." We can see that the same two lines that form <5 form an angle opposite to it, <2.
HELP HELP HELP HELP
What is the equation of the trend line in the scatter plot ?
Fun question: Which animal do you think is the smartest animal in the world. Whoever has the most detailed response gets a Brainlist. This is not a right or wrong question!!
Answer:
Easily Monkeys
Step-by-step explanation
Some say it is on the grounds that they make mental guides for effectively going through the timberland shelter starting with one fruiting tree then onto the next. ... "As well as drawing in travelers, monkeys assume significant parts in the woods as they scatter seeds.
there's a width of 8 in., a length of 20 in., and a height of 12 in.
a) what is the longest poster you could fit in the box? express your answer to the nearest tenth of an inch.
b) explain why you can fit only one maximum-length poster in the box, but you can fit multiple 21.5-inch posters in the same box.
Answer:
a.
Approximately [tex]24.7\; \rm in[/tex].
b.
While there are three diagonals in a box (a rectangular prism,) all three diagonals goes through the same point- the centroid of this box.
For a maximum-length poster to fit in this box, it would have to be on one of the main diagonals of this box. Hence, any maximum-length poster that fits in this box would go through the centroid of this box.
It's not possible to force more than one posters to go through the same point (i.e., the centroid) in space. Hence, it would not be possible to fit a second maximum-length poster into this box.
This argument does not apply to [tex]21.5\; \rm in[/tex] posters. These posters are shorter than the diagonal of this box; they could fit inside the box without having to go through a particular point in space.
Step-by-step explanation:
The longest poster that could be fit into this box (a rectangular prism) would be as long as the longest line segment in this box. That line segment would be one of the three diagonals of this box.
Apply the Pythagorean theorem twice to find the length of that diagonal.
Start by finding calculating the diagonal of the base of this box. The base of this box is a rectangle with width [tex]8\; \rm in[/tex] and length [tex]10\; \rm in[/tex]. The length of its diagonal would be [tex]\sqrt{8^2 + 10^2}[/tex] inches.
Combine that with the height of this box to find the length of the diagonal of this box.
[tex]\begin{aligned}& \sqrt{{\left(\sqrt{8^2 + 10^2}\right)}^2 + 12^2 \\ &= \sqrt{8^2 + 10^2 + 12^2} \\ &\approx 24.7 \end{aligned}[/tex].
A 250
B 1000
C 1750
D 5000
Answer: b
Step-by-step explanation: divide and round
Answer:
I believe the best answer is A
click on picture to see
Answer:
try letter B
Step-by-step explanation:
and can you be my friend
Answer:
Step-by-step explanation:
C the quotient would be N/12 not 12/N
There are 30 boys in 6th grade. The number of girls in 6th grade is 40. Abigail says that means the ratio of the number of boys in 6th grade to the number of girls in 6th grade is 4:3. Is Abigail correct? If not, what is the correct answer?
Answer:
Abigal is correct, it it 4:3
Step-by-step explanation:
4:3 because 40:30 is only 10 times larger than the 4:3