Answer:
Hello!
_____________________
-4 + (-3) + 6
= 1
Step-by-step explanation: Simplify the expression.
Hope this helped you!
Answer:
[tex] \boxed{\red{- 1}}[/tex]
Step-by-step explanation:
we know that,
[tex]\blue{( - ) \times ( + ) = ( - )}[/tex]
now let's solve
[tex]\green{ - 4 + ( - 3) + 6 }\\ \green{- 4 - 3 + 6} \\ \green{ - 7 + 6 }\\ \pink{= - 1}[/tex]
A furniture store has set aside 800 square feet to display its sofas and chairs. Each sofa utilizes 50 sq. ft. and each chair utilizes 30 sq. ft. At least five sofas and at least five chairs are to be displayed.
a. Write a mathematical model representing the store's constraints.
b. Suppose the profit on sofas is $200 and on chairs is $100. On a given day, the probability that a displayed sofa will be sold is 0.03 and that a displayed chair will be sold is 0.05. Mathematically model each of the following objectives:
1. Maximize the total pieces of furniture displayed.
2. Maximize the total expected number of daily sales.
3. Maximize the total expected daily profit.
Answer:
a) 50S + 30C ≤ 800
b) 1) MAX = S + C
2) Max = 0.03S + 0.05C
3) Max = 6S + 5C
Step-by-step explanation:
Given:
Total space = 800 square feet
Each sofa = 50 square feet
Each chair = 30 square feet
At least 5 sofas and 5 chairs are to be displayed.
a) Write a mathematical model representing the store's constraints:
Let S denote number of sofas displayed and C denote number of chairs displayed.
The mathematical model will be:
50S + 30C ≤ 800
At least 5 sofas are to be dispayed: S ≥ 5
At least 5 chairs are to be displayed: C ≥ 5
b)
1) Maximize the total pieces of furniture displayed:
S + C = MAX
2) Maximize the total expected number of daily sales:
MAX = 0.03S + 0.05C
3) Maximize the total expected daily profit:
Given:
Profit on sofas = $200
Profit on chairs = $100
Max Expected daily profit =
Max = (200S * 0.03) + (100C * 0.05)
Max = 6S + 5C
HELP PLEASE!!!! I NEED HELP ASAP Which statement best describes the expression 3 + y ÷ 2? The quotient of 2 and the sum of 3 and y The quotient of the sum of 3 and y, and 2 The sum of 3 and the quotient of 2 and y The sum of 3 and the quotient of y and 2
Answer:
I believe it is D
Answer:
The sum of 3 and the quotient of y and 2.
Step-by-step explanation:
The order of operations requires that you evaluate the expression ...
3 + y ÷ 2
by first performing the division, then the addition. So, the addition gives you the sum of 3 and a quotient, because the quotient must be evaluated first.
The quotient is of y and 2 (not 2 and y), because the wording "the quotient of a and b" is always interpreted to mean a÷b.
So, the expression can be described as ...
the sum of 3 and the quotient of y and 2.
Use the formula A=P(1+r)" to solve the following problem.
Find the rate r at which $500,000 grows to $708,050 in 2 years.
Answer:
r= 0.19
Step-by-step explanation:
A= $708,050
P=$500,000
'' = 2
$708,050= $500,000(1+r)^2
-Divide $500,000 by both sides
1.4161= (1+r)^2
-Square Root on both sides
1.19= 1+r
-Subtract 1 on both sides
r= 0.19
How do I solve this problem?
Suppose E(X) = 5 and E[X(X-1)] = 27.5. What is E(X2)? V(X)? The general relationship among the quantities E(X), E[X(X-1)], and V(X)?
Answer:
[tex]E(X^2)=32.5\\V(X)=7.5\\E[X(X-1)]=E(X^2)-E(X)\\V(X)=E(X^2)-[E(X)]^2[/tex]
Step-by-step explanation:
We have the following properties:
[tex]E( X + Y ) = E(X) + E(Y)\\V(X) = E(X^2)-[E(X)]^2[/tex]
So, if we have that E[X(X-1)] = 27.5, we can write them using the first property as:
[tex]E(X(X-1))=27.5\\E(X^2-X)=27.5\\E(X^2)-E(X)=27.5[/tex]
Then, replacing E(X) by 5 and solving for [tex]E(X^2)[/tex], we get:
[tex]E(X^2)-5=27.5\\E(X^2)=27.5+5\\E(X^2)=32.5[/tex]
Finally, using the second property and replacing [tex]E(X)[/tex] by 5 and [tex]E(X^2)[/tex] by 32.5, we get that V(X) is equal to:
[tex]V(X) = 32.5 - 5^2\\V(X) =32.5 - 25\\V(X) = 7.5[/tex]
Which scenario can be modeled using the graph below? A temperature range is within 5 degrees of 60 degrees Fahrenheit. A scientist uses more than 55 and less than 65 mL of water in an experiment. A commuter train takes less than 55 minutes or more than 65 minutes to complete one route. A worker makes greater than $55 per day but less than $65 per day.
Answer:
A temperature range is within 5 degrees of 60 degrees Fahrenheit
Step-by-step explanation:
As per the number line which has been given, the circular marks at the ends of the shaded area are also seen to be shaded, not blank. This means that the values on which these marks fall, 55 and 65, have to go along with the list. A, a temperature range within 5 degrees of 60 degrees
Fahrenheit is the only choice that suits this as 5 degrees below 60 degrees is 55 while 5 degrees higher than the degrees of 60 is 65
Answer:
the answer is A
Step-by-step explanation:
i did the test
What is the width and length of an area that = x^2+8x-9
Answer:
Then the width would be (x+9) and the length would be (x-1)
Step-by-step explanation:
If you factor the expression you get
[tex]x^2 - 8x - 9 = (x+9)(x-1)[/tex]
Then the width would be (x+9) and the length would be (x-1)
Answer:
(x-1) (x+9)
Step-by-step explanation:
Consider the form x2 + bx+c. Find a pair of integers whose product is c and whose sum is b In this case, whose product is − 9 and whose sum is 8.
−1,9 Hope this helps
What is the volume of a cone with radius 7 cm and height 11 cm? Round your answer to two decimal places.
Answer:
D. 564.44 cm^3
Step-by-step explanation:
V = (1/3)(pi)r^2h
V = (1/3)(3.14159)(7 cm)^2(11 cm)
V = 564.44 cm^3
What is a quadrilateral and give ten examples
Answer:
A quadralateral is any shape that has 4 sides ...
Step-by-step explanation:
rectangle
square
rhombus
Answer: A quadrilateral is a two dimensional shape(closed) with four sides.
Step-by-step explanation: The sides do not have to be equal.
Square
Rectange
Trapazoid
Diamond
Any four sided shape. They will classify as a quadrilateral as long as two of the shapes are not the same.
A piece of paper graph y=-3x-2
Answer:
Use an xy chart and graph the equation.
Step-by-step explanation:
How do you write 748,800 in scientific notation? ______× 10^______
Answer:
7.488 × 10^5
Step-by-step explanation:
= 748.8 × 10^3
(engineering notation)
(thousand; prefix kilo- (k))
= 7.488e5
(scientific e notation)
= 7.488 × 105
(scientific notation)
= 748800
Answer:
Its written as
[tex]7.488 \times {10}^{5} [/tex]
Hope this helps you
logx - logx - 1^2 = x-4
Answer:
Look at the image below.
For f(x)=2x+1 and g(x)=xsquared-7 find (f-g)(x)
Answer:
(f-g)(x) = - x² + 2 x + 8
Step-by-step explanation:
Explanation:-
Given f(x) = 2 x +1
g(x) = x² - 7
(f-g)(x) = f(x) - g(x)
= (2 x + 1) - ( x² -7)
= - x² + 2 x + 1 + 7
= - x² + 2 x + 8
(f-g)(x) = - x² + 2 x + 8
distribution of grades over the past two years is as follows: GRADE NUMBER OF STUDENTS A 80 B 75 C 90 D 30 F 25 Total 300 If this past distribution is a good indicator of future grades, what is the probability of a student receiving a C in the course
Answer:
The probability of a student receiving a C in the course is p=0.3.
Step-by-step explanation:
We have a absolute frequency for each of the grades (A to F), of a total of 300 course tests.
It is assumed that this sample gives a dood estimation of the distribution of the grades. Then, we can estimate the probability of obtaining a C in the course usign the relative frequency for C.
The relative frequency is calculated as the division between the absolute frequency (in this case, 90 for a C grade) and the size of the sample (in this example, 300).
[tex]p_C=\dfrac{X_C}{N}=\dfrac{90}{300}=0.3[/tex]
For the inverse variation equation xy = k, what is the value of x when y = 4 and k = 7? Four-sevenths Seven-fourths 3 28
Answer:
7/4
Step-by-step explanation:
Answer:
B,) 7/4
Step-by-step explanation:
The freezing point of methanol is -97.6. What is the freezing point of methanol in Fahrenheit
Answer:
-143.68°F
Step-by-step explanation:
Celsius to Fahrenheit Conversion Formula: F = 1.8C + 32
Simply plug in c as -97.6:
F = 1.8(-97.6) + 32
F = -175.68 + 32
F = -143.68
Answer:
Fahrenheit= Celsius x 1.8 + 32
Step-by-step explanation:
-97.6 x 1.8 = -175.68
-175.68 + 32 = -143.68 / -143.7
help help help help pls
Hi !!
For f(x) = 3/x + 4 , B is correct.
• f(-3) = 3/(-3) + 4
f(-3) = - 1 + 4
f(-3) = 3
• f(-2) = 3/(-2) + 4
f(-2) = -1,5 + 4
f(-2) = 2,5
• f(1) = 3/(1) + 4
f(1) = 3 + 4
f(1) = 7
• f(2) = 3/(2) + 4
f(2) = 1,5 + 4
f(2) = 5,5
• f(3) = 3/(3) + 4
f(3) = 1 + 4
f(3) = 5
Thirteen cards numbered 1,...,13 are shuffled and dealt one at a time. Say a match occurs on deal k if the kth card revealed is card number k. Let N be the total number of matches that occur in the thirteen cards. Determine E[N].
Answer:
E[N] = 1
Step-by-step explanation:
Here is the hint we are given on this problem - " Write N = [tex]1_{A_1}[/tex] + [tex]1_{A_2}[/tex] + · · · + [tex]1_{A_{ 13}[/tex]where [tex]A_k[/tex] is the event that a match occurs on deal k. "
_____
Now the standard thing is to do is let [tex]X_i[/tex] = 1, if there is a match on the [tex]i[/tex]-th pick and 0 otherwise. The number of matches is given to be [tex]X_1[/tex] + [tex]X_2[/tex] . . . + [tex]X_{13}[/tex]. Knowing that, we can use the linearity of expectation -
There are 13 cards and for [tex]i[/tex]-th pick, the probability of having a card with [tex]i[/tex] number is 1 / 13. Therefore, E[N] = E[[tex]X_1[/tex] + [tex]X_2[/tex] . . . + [tex]X_{13}[/tex]] = 1
_____
Solution: E[N] = 1
Consider writing onto a computer disk and then sending it through a certifier that counts the number of missing pulses. Suppose this number x has a Poisson distribution with parameter μ = 0.5. (Round your answers to three decimal places.)
(a) What is the probability that a disk has exactly one missing pulse?
(b) What is the probability that a disk has at least two missing pulses?
(c) lf two disks are independently selected, what is the probability that neither contains a missing pulse?
Answer:
Explained below.
Step-by-step explanation:
The random variable X is defined as the number of missing pulses and follows a Poisson distribution with parameter (μ = 0.50).
The probability mass function of X is as follows:
[tex]P(X=x)=\frac{e^{-\mu}\ \mu^{x}}{x!};\ x=0,1,2,3...[/tex]
(a)
Compute the probability that a disk has exactly one missing pulse as follows:
[tex]P(X=1)=\frac{e^{-0.50}\ 0.50^{1}}{1!}=0.3033[/tex]
Thus, the probability that a disk has exactly one missing pulse is 0.3033.
(b)
Compute the probability that a disk has at least two missing pulses as follows:
[tex]P(X\geq 2)=1-P(X<2)\\[/tex]
[tex]=1-[P(X=0)+P(X=1)]\\=1-[\frac{e^{-0.50}\ 0.50^{0}}{0!}+\frac{e^{-0.50}\ 0.50^{1}}{1!}]\\=1-0.6065-0.3033\\=0.0902[/tex]
Thus, the probability that a disk has at least two missing pulses is 0.0902.
(c)
It is provided that the two disks selected are independent of each other.
The probability that a disk has no missing pulses is:
[tex]P(X=0)=\frac{e^{-0.50}\ 0.50^{0}}{0!}=0.6065[/tex]
Compute the probability that neither of the two disks contains a missing pulse as follows:
[tex]P(X_{1}=0,\ X_{2}=0)=P(X_{1}=0)\times P(X_{2}=0)[/tex]
[tex]=0.6065\times 0.6065\\=0.367842\\\approx 0.3678[/tex]
Thus, the probability that neither of the two disks contains a missing pulse is 0.3678.
calculate find the area f a rectangle measuring 25 feet long by 8 feet wide
Answer: 200 ft²
Step-by-step explanation:
The area of a rectangle is length times width
So, simply do 25 * 8 = 200
Hey there! :)
Answer:
A = 200 ft².
Step-by-step explanation:
Use the formula A = l × w to determine the area of a rectangle:
A = 25 × 8
Multiply:
A = 200 ft².
An adult has a total of about 22.5 square feet (ft2) of skin. Use the fact that 1 m is approximately equal to 3.281 feet to convert this measurement to square meters (m2). Round your answer to the nearest hundredth. Do not type the units in the space below.
Answer:
There are about 3.281 * 3.281 = 10.764 square feet in one square meter. Therefore, 22.5 square feet is 22.5 / 10.764 = 2.09 square meters.
I need help with this math question. Thanks! Which of the following is a solution of 4x + 2y < 6 A. (5, 7) B. (0, 4) C. (1, 0) D. (1, 0)
Answer:
C., D. (they are the same point)
Step-by-step explanation:
4x + 2y < 6
A. (5, 7)
4(5) + 2(7) = 20 + 14 = 34
34 > 6, so A. is not an answer.
B. (0, 4)
4(0) + 2(4) = 0 + 8 = 8
8 > 6, so B. is not an answer
C. (1, 0)
4(1) + 2(0) = 4 + 0 = 5
4 < 6 is true, so C. is an answer.
D. (1, 0)
Why is D. the same as C.?
Determine if the given function can be extended to a continuous function at xequals0. If so, approximate the extended function's value at xequals0. If not, determine whether the function can be continuously extended from the left or from the right and provide the values of the extended functions at xequals0.
Complete Question
The complete question is shown on the first uploaded image
Answer:
The correct option is A
Step-by-step explanation:
Now from the question we are given the function
[tex]f(x) = \frac{10^{2 x} -4}{x}[/tex]
Now as [tex]\lim_{x \to 0} [f(x) ] = \frac{10^{2*0} -4 }{0}[/tex]
=> [tex]\lim_{x \to 0} [f(x) ] = - \infty[/tex]
This implies that as [tex]x\to 0[/tex] the function [tex]f(x) \to -\infty[/tex] which means that at x = 0 the function is not continuous
A Semi-circle sits on top of a rectangle to form the figure below. Find it’s area and perimeter. Use 3.14 for Pie.
Answer:
B
Step-by-step explanation:
Area of semicircle=(r^2×3.14)/2
=(4×3.14)÷2
=6.28
area of rectangle=3×4
12+6.28=18.28
perimeter of semicircle is =(d×3.14)/2
=4×3.14/2
6.28+3+3+4
6+10
perimeter=16.28
The area & perimeter of the figure are,
B.) A≈18.28sq.inch & P≈16.28inch.
What is area of a rectangle?Area of a rectangle (A) is the product of its length (l) and width (w).
A= l. w
Here,
Area of semicircle=(r^2×3.14)/2
=(4×3.14)÷2
=6.28
area of rectangle=3×4=12
So, total area of the figure =12+6.28=18.28 sq. inch
Again, perimeter of semicircle is =(d×3.14)/2
=4×3.14/2
=6.28
Total perimeter of the figure =6.28+3+3+4
=6.28+10
perimeter=16.28 inch
To learn more on Area click:
brainly.com/question/20693059
#SPJ3
Sam opened a stationery store in his neighborhood. His annual profit grew by $5,000 per year in the first 2 years. Then for 2 years, his annual profit was constant at $10,000 each year. Then his annual profit grew by $10,000 per year for the next 3 years. Which graph models the piecewise function for the given situation?
Answer:
Graph D
Step-by-step explanation:
It says:
$5,000 per year in the first 2 years
Then for 2 years, his annual profit was constant at $10,000 each year.
Then grew by $10,000 per year for the next 3 years.
Answer:
Graph D. For Sure.
Step-by-step explanation:
3
Select the correct answer.
What are the solutions to this equation?
16x² + 9 = 25
Answer:
Step-by-step explanation:
16x^2 + 9 = 25
16x^2 = 16
x^2 = 1
x = 1, -1
yall know the drill . whats the answer
Answer:
C. 57 degrees.
Step-by-step explanation:
It's a line, so it adds to 180 degrees. The interior angle is 180 - 114 = 66 degrees.
A triangle adds up to 180 degrees. Subtract 66 to get 114 degrees. This means the two remaining angles in the triangle add up to 114 degrees. Since they are identical (both are the same because they use the same variable), you can divide 114 by two.
The final answer is 57 degrees.
Let me know if you have any questions.
Which inequality is represented by the graph?
Answer:
y ≤ 2/5x - .5
Step-by-step explanation:
Well it is a solid line with it shaded down meaning the inequality starts with
y ≤,
And by look at the y axis we can tell that the line crosses the y axis at -.5 which is the y intercept.
And by looking at the line we can tell the slope is 2/5.
Hence, the inequality is y ≤ 2/5x - .5
In January of 2002(group 1),700 out of the 1700 spots were bare ground (no vegetation). Find the sample proportion of bare ground spots.
Answer:
The sample proportion of bare ground spots is 0.4118
Step-by-step explanation:
The sample proportion of bareground spots is the number of bareground sports divided by the number of spots.
In this question
700 bareground spots
1700 spots
7/17 = 0.4118
The sample proportion of bare ground spots is 0.4118
Given data:
x = 700n = 1700The formula will be:
→ [tex]Sample \ proportion = \frac{x}{n}[/tex]
By substituting the given values, we get
[tex]= \frac{700}{1700}[/tex]
[tex]= 0.4118[/tex]
Thus the response above is correct.
Learn more about sample proportion here:
https://brainly.com/question/17037417
someone pls help im so close
Answer: A) 126.6
Step-by-step explanation:
Since we know ∠B = 85° and ∠C = 53°, we can use the Triangle Sum Theorem (angles of a triangle = 180°) to calculate ∠A.
∠A + ∠B + ∠C = 180
∠A + 85 + 53 = 180
∠A + 138 = 180
∠A = 42
Now we have:
A = 42 B = 85 C = 53
a = 85 b = ??? c = ???
We have all of the information for ∠A and side a so we can use the Law of Sines to find b (AC).
[tex]\dfrac{\sin 42}{85}=\dfrac{\sin 85}{b}\\\\\\b(\sin 42)=85(\sin 85)\\\\\\b=\dfrac{85\sin 85}{\sin 42}\\\\\\b=\large\boxed{126.547}[/tex]