This question is incomplete, the complete question is;
A gymnasium floor is being covered by square shock-absorbing tiles.
The old gym floor required 864 square tiles. The new tiles are 2 inches larger in length and width than the old tiles. The new flooring will require only 600 tiles. What is the length of a side of one of the new shock-absorbing tiles
Answer:
Length of the side of one of the new shock-absorbing tiles is 12 inches
Step-by-step explanation:
Given the data in the question;
Since both the area for old tiles and new tiles are the same;
so Area of old tiles = Area of new tiles,
given that; The old gym floor required 864 square tiles and new flooring will require only 600 tiles as new tiles are 2 inches larger in length and width than the old tiles.
Now let the length of the sides of the square tiles be x
Area of a square = length × length = x × x = x²
So, Area of Old tiles = 864 × x² = 864x²
Area of New tiles = 600( x + 2 )²
= 600( x² + 4x + 4 )
= 600x² + 2400x + 2400
Now, Area of old tiles = Area of new tiles
864x² - 600x² - 2400x - 2400 = 0
264x² - 2400x - 2400 = 0
we find x
Using; x = [-b ±√( b² - 4ac )] / 2a
x = [-( -2400) ±√( (-2400)² - (4 × 264 × -2400 )] / 2( 264 )
x = [ 2400 ±√( 5760000 + 2534400) ] / 528
x = [ 2400 ±√8294400 ] / 528
x = [ 2400 ±2880 ] / 528
x = [ 2400 - 2880 ] / 528 or [ 2400 + 2880 ] / 528
x = [ -480 / 528 ] or [ 5280 / 528 ]
x = [ -0.909 ] or [ 10 ]
the length of the sides of the square tiles cannot be Negative
Hence, x = 10
Therefore, the length of a side of one of the new shock-absorbing tiles will be;
⇒ x + 2 = 10 + 2 = 12 inches
Length of the side of one of the new shock-absorbing tiles is 12 inches
Find the area of a triangle with a base of 4 meters and a height of 14 meters.
Answer:
28 meters²
Step-by-step explanation:
Area of triangle = 1/2(base x height).
It is given that:
base = 4 meters
height = 14 meters
Plug in the corresponding numbers to the corresponding terms:
Area of the triangle = 1/2(4 * 14)
Area of the triangle = (4 * 14)/2
Area of the triangle = 56/2
Area of the triangle = 28 meters²
Answer:
The answer is 28 meters^2.
Step-by-step explanation:
To solve for the area of the triangle, start by using the area of a triangle formula, which is A= [tex]\frac{1}{2}[/tex] bh.
Next, plug in the information from the question into the formula. The formula will look like A= [tex]\frac{1}{2}[/tex](4)(14).
Then, solve the equation, and the final answer will be 28 meters^2.
Write in standard form: 800,000 + 70,000 + 400 + 6
Answer:
870,406
Step-by-step explanation:
870,046
Hope this helps
Help me on this question please. Thx
An experimenter is studying the effects of temperature, pressure, and type of catalyst on yield from a certain chemical reaction. She considers 6 different temperatures, 5 different pressures, and 4 different catalysts are under consideration.
a. If any particular experimental run involves the use of a single temperature, pressure, and catalyst, how many experimental runs are possible?
b. How many experimental runs are there that involve use of the lowest temperature and two lowest pressures?
c. Suppose that five different experimental runs are to be made on the first day of experimentation. If the five are randomly selected from among all the possibilities, so that any group of five has the same probability of selection, what is the probability that a different catalyst is used on each run?
Answer:
a) 120 possible experimental runs
b) 8 possible experimental runs
c) 0
Step-by-step explanation:
a. For the experiment, there are 6 different temperatures (T), 5 different pressures (P), and 4 different catalysts (C). We can find the total number of combinations using the product rule.
N = T × P × C
N = 6 × 5 × 4 = 120
b) If we use only the lowest temperature, we have T = 1, and if we use the two lowest pressures, we have P = 2. We can find the total number of combinations using the product rule.
N = T × P × C
N = 1 × 2 × 4 = 8
c) If we perform 5 experimental runs with 4 possible catalysts, it is not possible to use a different catalyst each time. At least, 1 catalyst must be repeated twice. Then, the event "a different catalyst is used on each run" has a probability of 0.
I’m kinda stuck on this question, can y’all please help me?
Points J, K and M form a triangle.
In this triangle you are given the angles for JKM (50) and KJM (60)
The 3 inside angles of a triangle need to equal 180.
The third angle JMK would be 180 minus the two given angles:
JMK = 180 - 50 - 60 = 70
JMK = 70 degrees
Element X is a radioactive isotope such that every 24 years, its mass decreases by
half. Given that the initial mass of a sample of Element X is 70 grams, how long
would it be until the mass of the sample reached 61 grams, to the nearest tenth of a
year?
Answer:
Step-by-step explanation:
We get to use the simple version of the half life equation:
[tex]N=N_0(\frac{1}{2})^{\frac{t}{H}[/tex] where N is the amount of radioactive element left after a specific number of years,
N0 is the initial amount of the element,
t is the number of years (our unknown), and
H is the Half life of the element. For us,
N is 61
N0 is 70,
t is unknown,
H is 24 years. Filling in:
[tex]61=70(.5)^{\frac{t}{24}[/tex]. We begin by dividing both sides by 70 to get:
[tex].8714285=(.5)^{\frac{t}{24}[/tex] and then take the natural log of both sides:
[tex]ln(.8714285=ln(.5)^{\frac{t}{24}[/tex] which allows us to bring down the exponent to the front on the right side:
[tex]ln(.8714285)=\frac{t}{24}ln(.5)[/tex]. We divide both sides by ln(.5) to get:
[tex].1985457976=\frac{t}{24}[/tex] and then multiply both sides by 24 to get:
t = 4.8 years
I don’t understand this so can anyone help with this!?
Fill in the blanks. Suppose the probability at a light bulb factory of a bulb being defective is 0.11. If a shipment of 133 bulbs is sent out, the number of defective bulbs in the shipment should be around __________, give or take __________. Assume each bulb is independent.
Answer:
The number of defective bulbs in the shipment should be around 15, give or take 4.
Step-by-step explanation:
For each bulb, there are only two possible outcomes. Either it is defective, or it is not. The probability of a bulb being defective is independent of any other bulb. This means that the binomial probability distribution is used to solve this question.
Binomial probability distribution
Probability of exactly x successes on n repeated trials, with p probability.
The expected value of the binomial distribution is:
[tex]E(X) = np[/tex]
The standard deviation of the binomial distribution is:
[tex]\sqrt{V(X)} = \sqrt{np(1-p)}[/tex]
Suppose the probability at a light bulb factory of a bulb being defective is 0.11
This means that [tex]p = 0.11[/tex]
Shipment of 133 bulbs:
This means that [tex]n = 133[/tex]
Mean and standard deviation:
[tex]E(X) = np = 133*0.11 = 14.63[/tex]
[tex]\sqrt{V(X)} = \sqrt{np(1-p)} = \sqrt{133*0.11*0.89} = 3.61[/tex]
Rounding to the nearest integers:
The number of defective bulbs in the shipment should be around 15, give or take 4.
What type of triangle is this triangle?
acute isosceles
obtuse isosceles
acute scalene
right isosceles
Answer:
Obtuse isosceles
Step-by-step explanation:
Since this is an obtuse isosceles triangle, the two missing angles must be acute angles.
Answer:
obtuse isosceles
Step-by-step explanation:
im kinda bad but since the top angle is obtuse its an obtuse isosceles
Can someone help me please
Answer:
The length would be 25/5 which is 4.8
Answer:
l=8 or -3
Step-by-step explanation:
You can write this into an equation!
It will be l*(l-5)=24
Now, we can just solve.
We have to expand the equation and so on.
Consider a normal distribution of values with a mean of 32 and a standard
deviation of 1.5. Find the probability that a value is less than 36.8.
Anyone know?
Answer: The probability that a value is less than 36.8 is 0.9993.
Step-by-step explanation:
Let X be the random variable that normally distributed.
Given: [tex]\mu=32,\sigma=1.5[/tex]
The probability that a value is less than 36.8 = [tex]P(X<36.8)[/tex]
[tex]=P(\frac{X-\mu}{\sigma}<\frac{36.8-32}{1.5})\\\\=P(Z<3.2)\ \ \ [Z=\frac{X-\mu}{\sigma}]\\\\=0.9993[/tex][Using P-value calculator]
Therefore, The probability that a value is less than 36.8 is 0.9993.
The question is in the picture.
[tex] B. \:\frac{2}{ {a}^{7} } [/tex] ✅
[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\orange{:}}}}}[/tex]
[tex] \frac{8}{2 \: {a}^{5} } \times \frac{6}{12 \: {a}^{2} } \\ = \frac{48}{24 \:( {a})^{5 + 2} } \\ = \frac{2}{ {a}^{7} } [/tex]
Note:-
[tex] {a}^{m} \times {a}^{n} = {a}^{m + n} [/tex]
[tex]\large\mathfrak{{\pmb{\underline{\orange{Happy\:learning }}{\orange{.}}}}}[/tex]
Anders throws a 10-faced dice with numbers from 1 to 10. Then he spins a coin.
b) Find the probability of scoring: i) a head and a multiple of 3 ii) a tail and a prime number
Answer:
3/20
1/5
Step-by-step explanation:
Sample space :
10 - faced die :
(1, 2, 3, 4,5, 6, 7,8, 9, 10)
Coin = (H, T)
P(H) = 1/2
Multiple of 3 = 3, 6, 9 = 3
P(Multiple of 3) = 3 / 10
P(H and multiple of 3) = 1/2 * 3/10 = 3 /20
2.)
P(tail) = 1/2
Prime numbers = (2, 3, 5, 7) = 4
P(A prime number) = 4 / 10
P(tail and prime number) = 1/2 * 4 /10 = 4 /20 = 1/5
can someone help me out pls i’ll give brainliest!
answer
three
explain hope this helps
Given m || n, find the value of x and y.
(5x+16)
m
(y+6)
(7x+4)
n
Answer:
3<+2=13 is the answer
Step-by-step explanation:
I need the answer or work this either pass or fail please !
Step-by-step explanation:
DAG = DG
120=120°
DHG + DG =360°
DHG +120° =360°
DHG+120°-120°=360°-120°
DHG°=240°
NO LINKS PLS HELP MMEEE
Answer:
4. 84.82 6. 7238.23 5. 1415.81 7. 1570.8
Step-by-step explanation:
Answer:
4. 254.47ft^3
5. 4247.43yd^3
6. 21714.69 in^3
7. 4712.39 ft^3
hope this helps
have a good day :)
Step-by-step explanation:
If 3,8,9 and x are in proportion find the value of x
Answer:
Step-by-step explanation:
since they are in continued proportion the ratio will be
3/8=9/x
do cross multiplication
8*9=3*x
72=3x
72/3=x
24=x
therefore x =24
Answer:
ans is 24
Step-by-step explanation:
soln
the 3 8 9 and x are in proportion
so 3/8=9/x
3x=72
x=72/3
x=24
Sydney says that altogether they have placed 2/3 of the eggs into Tanks A and B. Is Sydney correct?
-1/6 of the eggs into Tank A
-4/9 of the eggs into Tank B
Answer:
Sydney is incorrect
Step-by-step explanation:
We cannot start adding Tanks A and B because they have a different denominator.
So we have to find the Least Common Denominator (LCD)
The LCD is 18 so...
[tex]\frac{2}{3} =\frac{12}{18}[/tex]
I'm sorry I gtg to class...
Consider the following graph of y = f (x). Please help
Answer:
f. for the x values I think its -1 & 5
HELP PLEASE If 2x−y = 0 and x−2y=3, then 6x−6y =
(A) 6
(B) 12
(C) 18
(D) 21
(E) 24
Answer:
A) 6
Step-by-step explanation:
Given that z is a standard normal random variable, what is the value of z if the area to the right of z is .9370? a. .8264 b. – 1.53 c. 1.50 d. 1.96
Answer:
z₁(s) = - 1.53
Step-by-step explanation:
a) Value of z or z₁(s) area to the right is .9370
1 - 0.9370 = 0.063
Then if area to the left is 0.063 z₁(s) = - 1.53
If you know how to solve this, Please answer it. Thank You
The first one to answer the question right, will get Brainlist!
I PROMISE!!!!!
y = ( x + 9 )^2 - 2
................................
................................
PLEASE I NEED HELP WITH THIS PROBLEM
Order the following numbers from least to greatest.
A. -12,-35,-23,58
B.-12,-35,58,-23
C.-23,-35,-12,58
D.-35,-23,-12,58
Explain how
Answer:
D. -35,-23,-12,58
Step-by-step explanation:
Image a line that goes to the negative, as well as the positives, -35 would be lower on that line
-35 -23 -12 0 12 23 35 58
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Given the set of data below, which measure(s) will change if the outlier is removed? (Check all that apply.) 1,6,8,8,8
mean
range
median
mode
The mean, range, and median will vary if the outlier is eliminated. Options A, B, and C are correct.
What is mean?The arithmetic mean is a term used to describe the average. It's the ratio of the total number of observations to the sum of the observations.
The data set is;
1,6,8,8,8
Outliers in a dataset or graph are extreme values that stand out significantly from the main pattern of values.
There is an aberration in the graph below, on the far left. The value in January is much lower than the value in the other months.
If the outlier is removed mean, range, and median will changes.
Hence options A, B and C are correct.
To learn more about mean refer:
https://brainly.com/question/13451489
#SPJ2
Please help me!! I will give you brainliest!
Answer:
volume = 7/8 cubic units
Step-by-step explanation:
[tex]volume = base \ area \times height = \frac{1}{2} \times \frac {7}{4} = \frac{7}{8} units^3[/tex]
solve for k. 6 = -3(k - 10)
Answer: k = 8
Step-by-step explanation:
-3k + 30 = 6
-3k = -24
k = 8
Answer:
k = 8
Step-by-step explanation:
6 = -3(k - 10)
Divide each side by -3
6/-3 = -3/-3 *(k - 10)
-2 = k-10
Add 10 to each side
-2+10 = k-10+10
8 = k
What value of m will m+9, 2m-1, and 2m+7 are the consecutive terms of an
arithmetic progression?
9514 1404 393
Answer:
m = 18
Step-by-step explanation:
In an arithmetic progression, the middle term of three is half the sum of the terms on either side.
a1 +a3 = 2(a2)
(m +9) +(2m +7) = 2(2m -1)
3m +16 = 4m -2 . . . . . . collect terms
18 = m . . . . . . . . . . . . . . add 2-3m
What’s -7 and 2/3 plus -5 and 1/2
Answer:
[tex]-13\frac{1}{6}[/tex]
Step-by-step explanation:
[tex]-7\frac{2}{3} +(-5\frac{1}{2})[/tex]
[tex]-7\frac{2}{3} -5\frac{1}{2}[/tex]
[tex]-\frac{23}{3} -\frac{11}{2}[/tex]
Prime factorization of the numbers:
3 = 3 × 1
2 = 2 × 1
LCM of (3, 2) = 6
2 × 3
= 6
[tex]-\frac{79}{6}[/tex]
[tex]-13\frac{1}{6}[/tex]
Which expression represents 1/64
a. 2(6)
b. 8 1/2
c. -4(3)
d. 2 (-6)
Answer:
The answer is B
Hope this helps
Brainliest??