Answer:
P =33.6 m
A = 70.56 m^2
Step-by-step explanation:
The perimeter of a square is given by
P =4s = 4(8.4) =33.6 m
The area of a square is given by
A = s^2 = (8.4) ^2 =70.56 m^2
Answer:
Perimeter = 8.4×4 = 33.6 meters
Area = 8.4^2 = 70.56 square meters
A chessboard has 64 squares on it. If each square is 1 inch by 1 inch, what is the area of the entire
chessboard covered by the squares?
Answer:
64 inches squared
Step-by-step explanation:
A jar has 465 M & Ms. There are twice as many blues as reds. There are 8 more green as red. The
number of brown M & M's is two more than three times the number of reds.
Answer:
Step-by-step explanation:
Given the linear equation 3y + 4x = 12, find the y-intercept.
Answer:
(0,4)
Step-by-step explanation:
3y + 4x = 12
To find the y intercept, set x =0 and solve for y
3y = 4*0 =12
3y = 12
Divide by 3
3y/3 = 12/3
y =4
Answer:
4
Step-by-step explanation:
3y + 4x = 12
3y = -4x + 12
y = -[tex]\frac{4}{3}[/tex]x + 4
El valor de x en la ecuación 1+4x-3=6x+8
Answer:
1 + 4x - 3 = 6x + 8
4x - 6x = 8 - 1 + 3
-2x = 10|:(-2)
x = -5
how do you solve the formula for an unknown variable in terms of the known variables? For context, the question deals with principal investments.
Consider the following exponential probability density function.  for x ≥ 0 If needed, round your answer to four decimal digits.(a) Find P(x ≤ 2). (b) Find P(x ≥ 3). (c) Find P(x ≤ 5). (d) Find P(2 ≤ x ≤ 5).
Answer:
Here the general formula is
[tex]P(X\leq x_{0} )=1 - e^{\frac{-x_{0}}{2} }[/tex]
a) [tex]P(X\leq 2 )= 0.6321[/tex]
b) [tex]P(X\geq 3 )= 0.2231[/tex]
c) [tex]P(X\leq 5 )= 0.9179[/tex]
d) [tex]P(2\leq X\leq 5 )= 0.2858[/tex]
Step-by-step explanation:
Now the solutions are,
a)
[tex]P(X\leq 2 )=1 - e^{\frac{-2}{2} }\\P(X\leq 2 )= 0.6321[/tex]
b)
[tex]P(X\geq 3 )=1-[1 - e^{\frac{-3}{2} }]\\P(X\geq 3 )= 0.2231[/tex]
c)
[tex]P(X\leq 5 )=1 - e^{\frac{-5}{2} }\\P(X\leq 5 )= 0.9179[/tex]
d)
[tex]P(2\leq X\leq 5 )=1 - e^{\frac{-5}{2} }-1 - e^{\frac{-2}{2} }\\P(2\leq X\leq 5 )= 0.2858[/tex]
1. Which of the following is a nonlinear function?
A. The items at a clothing store are sold at a discount of 20% off the original price.
B. The number of dogs in a town increases by 20 per neighborhood per year.
C. A soccer manufacturing company spends $5 on each soccer ball.
OD. The number of students enrolling at a high school increases each year by a factor of 1.25.
There are 6 toppings at an ice cream shop. You can choose any number of toppings from 0 all the way up to 6 (if you don't mind combining things like gummy bears and Oreo crumbles). How many possible ways are there to choose your toppings.
The number of ways in which the selection of toppings can be made are 36.
What is combination? What is a mathematical function, equation and expression?combination : combination is a combination of [n] things taken [k] at a time without repetition. Mathematically -[tex]$_n C_r=\frac{n !}{r ! (n-r) !}[/tex]
function : In mathematics, a function from a set X to a set Y assigns to each element of X exactly one element of Y. The set X is called the domain of the function and the set Y is called the codomain of the function.expression : A mathematical expression is made up of terms (constants and variables) separated by mathematical operators.equation : A mathematical equation is used to equate two expressions.Given is that there are 6 toppings at an ice cream shop. You can choose any number of toppings from 0 all the way up to 6.
The total number of ways in which the selection can be made are -
x = 6 x 6 = 36
[x] = 36
Therefore, the number of ways in which the selection of toppings can be made are 36.
To solve more questions on functions, expressions and polynomials, visit the link below -
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Many Australian highways have a speed of 110 kilometers per hour. Convert this to miles per hour
Answer:
Step-by-step explanation:
It's a little over 60 mph
110 km = 110 km * 0.6 miles / km = 66 miles
110 km/hour = 66 miles / hour
what is the answer to this
Which graph shows the system of equations 4x+y=3 and 2x-3y=3?
Write the equation The product of a number m and 4 is 16
Answer:
4
Step-by-step explanation:
The product of a number m and 4 is 16
=m×4=16
16÷4=4
Answer:
m=4
Step-by-step explanation:
m and 4 is 16
m=?
m×4=16
m=16÷4
=4
m=4
When Shaquana commutes to work, the amount of time it takes her to arrive is normally distributed with a mean of 22 minutes and a standard deviation of 3 minutes. Using the empirical rule, determine the interval that represents the middle 95% of her commute times.
Answer:
16,28
Step-by-step explanation:
The requried interval that represents the middle 95% of Shaquana's commute times is (16, 28) minutes
What is an empirical rule?The empirical rule, also known as the three-sigma rule, is a statistical concept that provides a quick estimate of the spread of a normal distribution.
Since Shaquana's commute times are normally distributed with a mean of 22 minutes and a standard deviation of 3 minutes, we can use this information to find the interval that represents the middle 95% of her commute times.
To do this, we need to find the range of values that is two standard deviations away from the mean in either direction.
Lower limit = Mean - 2SD = 22 - 23 = 16 minutes
Upper limit = Mean + 2SD = 22 + 23 = 28 minutes
Therefore, the interval that represents the middle 95% of Shaquana's commute times is (16, 28) minutes. This means that we expect Shaquana's commute time to be between 16 and 28 minutes, with 95% confidence.
Learn more about the empirical rule here:
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Which pair of figures has the same number of faces as vertices?
triangular prism and triangular pyramid
triangular prism and rectangular prism
rectangular pyramid and triangular pyramid
rectangular pyramid and rectangular prism
Answer:
Rectangular pyramid and triangular pyramid
Step-by-step explanation:
A rectangular pyramid and triangular pyramid has the same number of faces as vertices
What is a Pyramid?A pyramid is a three dimensional shape (has length, width and height) with a polygonal base and flat triangular faces.
A rectangular pyramid have same number of faces as vertices with each being 5 in number. A triangular pyramid have same number of faces as vertices with each being 3 in number.
Find out more on Pyramid at: https://brainly.com/question/25823102
.......what the missing letter!!
Answer:
Q
Step-by-step explanation:
Letters in the alphabet:
26
1 A
2 B
3 C
4 D
5 E
6 F
7 G
8 H
9 I
10 J
11 K
12 L
13 M
14 N
15 O
16 P
17 Q
18 R
19 S
20 T
21 U
22 V
23 W
24 X
25 Y
26 Z
Describe (in words) the curves traced by particles moving in the xy-plane according to the parametric equations in (a–h). You do not have to draw the graphs yourself, but Desmos is still extremely helpful here (5t + 3, 2t − 6) with −2 ≤ t ≤ 3
Answer:
here we have:
x = 5*t + 3
y = 2*t - 6
both for -2 ≤ t ≤ 3
First, we can rewrite:
x = a*y + b
let's try to find the values of a and b.
5*t + 3 = a*(2*t - 6) + b
5*t + 3 = a*2*t + (b - 6*a)
Here we have two equations:
5 = a*2
3 = (b - 6*a)
from the first one, we can solve:
5/2 = a
replacing this into the second, we et:
3 = b - 6*(5/2)
3 = b - 15
3 + 15 = b = 18
Then:
x = (5/2)*y + 18
y = 2*t - 6
So, y is a linear equation that depends on the variable t
x is a linear equation that only depends on x (from this we already know that the graph will be a line)
and we know that −2 ≤ t ≤ 3
Then the minimum value of y is:
y = 2*(-2) - 6 = -10
and the largest value of y is:
y = 2*3 - 6 = 0
So y-varies in the range between -10 and 0
And because x = (5/2)*y + 18
The minimum value of x is:
x = (5/2)*-10 + 18 = -25 + 18 = -7
and the maximum value of x is:
x = (5/2)*0 + 18 = 18
Then we know that this line starts in the point (-10, -7) and ends in the point (0, 18)
A quadrilateral has one pair of parallel sides with lengths 1 3/4 inches and 1 1/4 inches, and two angles that
each measure 36º. What shape is it?
Answer:
trapezoid
it's automatically a trapezoid if it only has one pair of parallel sides that are different lengths and has two acute angels
1. The exterior angles of a triangle are 3yº, 4yº
and 5y. Find y. What are the interior angles of
the triangle?
Answer:
Step-by-step explanation:
3y+4y+5y=180 degree(sum of exterior angles of a triangle is 360 degree)
12y=360
y=360/12
y=30 degree
5.44 divided by 0.32
Answer:
calculator on cumputer but 0.21
Step-by-step explanation:
[tex]\sf\purple{17}[/tex] ✅
Step-by-step explanation:
[tex] \frac{5.44}{0.32}[/tex]
To remove the decimal, we divide both the numerator and denominator by 100
[tex] \frac{5.44 \times 100}{0.32 \times 100} \\ = \frac{544}{32} \\ = 17[/tex]
[tex]\large\mathfrak{{\pmb{\underline{\orange{Happy\:learning }}{\orange{!}}}}}[/tex]
A square garden plot has an area of 75 ft. a. Find the length of each side in simplest radical form. b. Calculate the length of each side to the nearest
tenth of a foot.
9514 1404 393
Answer:
a. 5√3 ft
b. 8.7 ft
Step-by-step explanation:
The area is the square of the side length, so the side length is the square root of the area:
s = √A
s = √(75 ft²) = √(25·3 ft²) = √(3·(5 ft)²)
s = 5√3 ft ≈ 8.7 ft . . . . . . side length of garden
What is the domain of the function f(x) = sqrt x-9 + 5?
Answer:
D. x≥ 9
Step-by-step explanation:
√x-9 should be ≥ 0
so, x-9≥0
=> x ≥ 9
5690 as standard form
Answer:
It already is in standard form btw
Step-by-step explanation:
Answer:
5690 is standard form
five thousand six hundred ninety is word form
5000+600+90 is expanded form
hope this helps
have a good day :)
Step-by-step explanation:
Solve for x. 2(4x+7)=62
Answer:
[tex]\huge\boxed{Answer\hookleftarrow}[/tex]
[tex]2(4x + 7) = 62 \\ 2 \times 4x + 2 \times 7 = 62 \\ 8x + 14 = 62 \\ 8x = 62 - 14 \\ 8x = 48 \\ x = \frac{48}{8} \\ x = 6[/tex]
✍ The value of x is 6.
ʰᵒᵖᵉ ⁱᵗ ʰᵉˡᵖˢ
# ꧁❣ RainbowSalt2²2² ࿐
What are the domain and range of the function f(x)= -log(5- x)+9?
Domain; x<5
range: 29
domain: x <5
range: (-0.co) domain: x29
range: (-0.CO)
domain: x29
range: 29
Answer:
Domain: X<5
Range: f(x)∈ R
Step-by-step explanation:
Triangle A
Triangle B
Triangles A and B are
O A. only similar
O B. only congruent
O C. both similar and congruent
D. none of the above
add this
(9j+6)+(9j+9)
Answer:
18j+15
Step-by-step explanation:
Answer:
18 j+15
(9j+6)+(9 j+9) 9j+9j +9+9 = 18 j+15
ALMN is a right triangle.
Answer:
this is true since a right triangle has one side that is 90 degrees
Hope This Helps!!!
I need help… plz I don’t know how to do it
Answer:
the second answer choice, 3 4/5
Step-by-step explanation:
6 - 2.2= 3.8
3.8 = 3 8/10 = 3 4/5
helpppppppp........,,,,,,,,,,,,
Answer:
B
Step-by-step explanation:
When a number is in front of the parethese, it is multiplying all the terms inside of it.
Looking at the first answer, the 2 multiplies 2/5x and 2, getting 4/5x + 4. This is not equivllent to 2 2/5x +1.
In the next one 2 is multiplying the same values, and results in 4/5x + 4. This is indeed equivelent to 4/5x + 4.
So this is your answer.
Hope this helps!
A quality control expert at LIFE batteries wants to test their new batteries. The design engineer claims they have a variance of 2916 with a mean life of 518 minutes. If the claim is true, in a sample of 81 batteries, what is the probability that the mean battery life would be greater than 526.4 minutes
Answer:
0.0808 = 8.08% probability that the mean battery life would be greater than 526.4 minutes
Step-by-step explanation:
To solve this question, we need to understand the normal probability distribution and the central limit theorem.
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
Central Limit Theorem
The Central Limit Theorem establishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
The design engineer claims they have a variance of 2916 with a mean life of 518 minutes.
This means that [tex]\sigma = \sqrt{2916} = 54, \mu = 518[/tex]
Sample of 81 batteries
This means that [tex]n = 81, s = \frac{54}{\sqrt{81}} = 6[/tex]
What is the probability that the mean battery life would be greater than 526.4 minutes?
1 subtracted by the p-value of Z when X = 526.4. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
By the Central Limit Theorem
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]Z = \frac{526.4 - 518}{6}[/tex]
[tex]Z = 1.4[/tex]
[tex]Z = 1.4[/tex] has a p-value of 0.9192
1 - 0.9192 = 0.0808
0.0808 = 8.08% probability that the mean battery life would be greater than 526.4 minutes