Answer:
Length of the rectangle:
[tex]x = \frac{4800}{106} = \frac{2400}{53} [/tex]
Breadth of the rectangle:
[tex]60\%(x) = \frac{60}{100} \times \frac{4800}{106} \: \: \: \: \: \: \: \: \: \: \: \\ =60 \times \frac{48}{106} \\ = \frac{2880}{106} [/tex]
Step-by-step explanation:
Longer side of the rectangle(length) = x
Shorter side of the rectangle(breadth) = (60%)x
Perimeter of the rectangle = 2(l+b) = 96 inches
Hence,
[tex]96 = 2(x + 60\%(x))[/tex]
[tex]96 = 2(x + \frac{6}{100 } x)[/tex]
[tex]96 = 2( \frac{100}{1 00} x + \frac{6}{100} x)[/tex]
[tex]96 = 2( \frac{106}{100} x)[/tex]
[tex]96 = \frac{106}{50} x[/tex]
[tex]96 \div \frac{106}{50} = x[/tex]
[tex]96 \times \frac{50}{106} = x[/tex]
[tex] \frac{4800}{106} = x[/tex]
plz help with the task my child is trying to do
Answer:
7
Step-by-step explanation:
First, add all the cards.
[tex]2 + 5 + 7 + 8 + 9 = 31[/tex]
If we remove one card, the remaining four cards average will be 6, this means that the 4 remaning cards will average total will be at 24 because 6×4=24. So we need to find a value that will equal 24 if we remove that card.
The answer is 7 because
[tex] \frac{2 + 5 + 8 + 9}{4} = 6[/tex]
9514 1404 393
Answer:
remove 7 to make the total be 6×4 = 24.
Step-by-step explanation:
The description "mean average" is redundant to no apparent purpose. "Mean" and "average" are the same thing: the total divided by the number of contributors.
If the mean of 4 cards is 6, then we require ...
6 = (total of 4 cards) ÷ 4
24 = total of 4 cards . . . . . . . multiply both sides of the equation by 4
__
We note that the total of all the cards shown is ...
2 + 5 + 7 + 8 + 9 = 31
In order to make the total be 24, we need to remove a card that has a value of ...
31 -24 = 7
Removing 7 will bring the total to 2 + 5 + 8 + 9 = 24, and the average to 24/4 = 6.
_____
Additional comment
It is worthwhile to remember the relationship between the total and the average and the number of contributors. This shows up a lot in problems involving adjusting an average or finding a value to give a certain average.
Math pweasee 15 points
Answer:
Step-by-step explanation:
a = 5
b = 15
c = ?
c^2 = a^2 + b^2
c^2 = 5^2 + 15^2
c^2 = 25 + 125
c^2 = 250
sqrt(c^2) = sqrt(250)
c = sqrt(250)
The quadratic function f(x) = -x2 - 6x - 8 is graphed.
What are the solutions of the quadratic equation 0 =
x2 - 6x - 8?
Ту
2
O 2 and 4
0-2 and 4
0-2 and 4
O: 2 and 4
6 5 A
-3
-1
X
-2
ون
Answer:
-2 and -4
Step-by-step explanation:
When the quadratic equation equals 0, that means when y = 0.
By looking at the graph, whenever y = 0 is when the graph crosses the x-axis.
The graph crosses the x-axis at only two points:
(-4, 0) and (-2, 0)
So the solutions to the graph when -x^2 - 6x - 8 equals 0 is -2 & -4.
Hope it helps (●'◡'●)
Answer:
-2 and -4
Step-by-step explanation:
if you'll notice the function goes through the x axis at -2 and -4
help pls, i need help pls
9514 1404 393
Answer:
no
Step-by-step explanation:
For lines to be parallel, any obtuse angle where a transversal crosses must be supplementary to any acute angle at that transversal. Here the sum of the obtuse and acute angles is 105° +65° = 170°, so it is not possible for this geometry to include parallel lines.
what is the value of 24 * 0.03
Answer:
The value of 24x0.03 is gong to be, "800"
the time it takes a runner to complete a race is inversely related to the speed of the runner if a runner can complete a race in 40 minutes while running at 8 mph how long will it take the runner to complete the race running at 9 mph t
30 students in grade 8 finished their summer packet before August 15.
This was 12% of all the students. How many students are in grade 8?
There are 1,200 people at the beach. If 88% of them went in the water,
how many people DID NOT go in the water?
A $800 T.V. is on sale for 15% off. What is the cost of the T.V.?
You go out to dinner and the bill is $45.12. You want to leave
an 18% tip. How much money should you leave?
Answer:
1)250 2) 144 3)
Step-by-step explanation:
1) 12/100 = 30/x 2) 1200*0.88
12x=3000 1200-1056
x=250 144
3)800*0.15 4) 45.12*0.18
800-120 45.12+8.12
680 about 53.24
How much fabric is needed to make a tent in the shape of a triangular prism with the following measures?
Answer:
The fabric needs 196.4 ft²
Step-by-step explanation:
∵ The tent formed formed from 4 faces
two equilateral triangles with side length 7 ft
two rectangles with dimensions 11 ft and 7 ft
∵ Area equilateral Δ = 1/4 S²√3
∵ Area rectangle = L × W
∴ The area of the prism = 2 × 1/4 × (7)²√3 + 2 × 7 × 11
= 196.4 ft²
Note:
If you find the area of the triangle by the rule 1/2 × base × height
∴ Area Δ = 1/2 × (7) × 6 = 21 ft²
∴ Area tent = 2 × 21 + 2 × 77 = 196 ft²
Two answer very closed
Answer:
273 ft^2 (apparently you have to cover the ground)
Step-by-step explanation:
What conclusion can be made based on this multiplication problem?
8 × 6 = 48
Eight is 6 times greater than 48.
Eight is 8 times greater than 48.
Forty-eight is 6 times greater than 8.
Forty-eight is 8 times greater than 8.
According to Okun's law, if the unemployment rate goes from 5% to 3%, what will be the effect on the GDP?
A. It will increase by 7%.
B. It will decrease by 7%.
C. It will decrease by 1%.
D. It will increase by 1%.
Answer:
D. It will increase by 1%.
Step-by-step explanation:
Given
[tex]u_1 = 5\%[/tex] --- initial rate
[tex]u_2 = 3\%[/tex] --- final rate
Required
The effect on the GDP
To calculate this, we make use of:
[tex]\frac{\triangle Y}{Y} = u_1 - 2\triangle u[/tex]
This gives:
[tex]\frac{\triangle Y}{Y} = 5\% - 2(5\% - 3\%)[/tex]
[tex]\frac{\triangle Y}{Y} = 5\% - 2(2\%)[/tex]
[tex]\frac{\triangle Y}{Y} = 5\% - 4\%[/tex]
[tex]\frac{\triangle Y}{Y} = 1\%[/tex]
This implies that the GDP will increase by 1%
Answer: A. It will increase by 7%.
Step-by-step explanation: I took this course!
The parametric equations for the paths of two projectiles are given. At what rate is the distance between the two objects changing at the given value of t? (Round your answer to two decimal places.) x1 = 10 cos(2t), y1 = 6 sin(2t) First object x2 = 4 cos(t), y2 = 4 sin(t) Second object t = π/2
Answer:
- [tex]\frac{4}{\sqrt{29} }[/tex]
Step-by-step explanation:
The equations for the 1st object :
x₁ = 10 cos(2t), and y₁ = 6 sin(2t)
2nd object :
x₂ = 4 cos(t), y₂ = 4 sin(t)
Determine rate at which distance between objects will continue to change
solution Attached below
Distance( D ) = [tex]\sqrt{(10cos2(t) - 4cos(t))^2 + (6sin2(t) -4sin(t))^2}[/tex]
hence; dD/dt = - [tex]\frac{4}{\sqrt{29} }[/tex]
What is the most specific name for a quadrilateral with one pair of parallel sides?
A. trapezoid
B. rectangle
C. parallelogram
D. quadrilateral
help me pls
Answer:
C: parallelogram
Step-by-step explanation:
A venture capital company feels that the rate of return (X) on a proposed investment is approximately normally distributed with mean 30% and standard deviation 10%.
(a) Find the probability that the return will exceed 55%.
(b) Find the probability that the return will be less than 25%
(c) What is the expected value of the return?
(d) Find the 75th percentile of returns.
Answer:
a) 0.0062 = 0.62% probability that the return will exceed 55%.
b) 0.3085 = 30.85% probability that the return will be less than 25%
c) 30%.
d) The 75th percentile of returns is 36.75%.
Step-by-step explanation:
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.
Mean 30% and standard deviation 10%.
This means that [tex]\mu = 30, \sigma = 10[/tex]
(a) Find the probability that the return will exceed 55%.
This is 1 subtracted by the p-value of Z when X = 55. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{55 - 30}{10}[/tex]
[tex]Z = 2.5[/tex]
[tex]Z = 2.5[/tex] has a p-value of 0.9938
1 - 0.9938 = 0.0062
0.0062 = 0.62% probability that the return will exceed 55%.
(b) Find the probability that the return will be less than 25%
p-value of Z when X = 25. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{25 - 30}{10}[/tex]
[tex]Z = -0.5[/tex]
[tex]Z = -0.5[/tex] has a p-value of 0.3085
0.3085 = 30.85% probability that the return will be less than 25%.
(c) What is the expected value of the return?
The mean, that is, 30%.
(d) Find the 75th percentile of returns.
X when Z has a p-value of 0.75, so X when Z = 0.675.
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]0.675 = \frac{X - 30}{10}[/tex]
[tex]X - 30 = 0.675*10[/tex]
[tex]X = 36.75[/tex]
The 75th percentile of returns is 36.75%.
A committee raised 7/9 of their target goal last year and another 1/9 of the goal this year. What fraction of their goal has been raised
Answer:
8/9
Step-by-step explanation:
Find what fraction of their goal they have raised by adding the amounts from last year and this year together:
7/9 + 1/9
= 8/9
So, they have raised 8/9 of their goal
What is the area of a circle with a radius of 13 cm
?
(Use 3.14 for Pi.)
Answer: The Area=530.66
Step-by-step explanation:
The formula of Area of circle is πr^2, or pi * radius squared. Pi=3.14, and radius =13. So 3.14*(13^2)=530.66
through: (-2, 2), parallel to y=-x-5
Answer:
y = -x.
Step-by-step explanation:
The slope of the line (m) = -1. ( because of the -x in y = -x - 5)
y - y1 = m (x - x1) where (x1, y1) is a point on the line, so we get;
y - 2 = -1(x - (-2))
y - 2 = -x + -1 * +2
y - 2 = -x - 2
y = -x.
SOMEONE HELP PLEASE! So for this problem the answer I got is $4000. Is that the correct or incorrect answer? Can someone please help me if it is the incorrect answer. Thank you for your time.
Answer:
You're correct
Step-by-step explanation:
when solving 4x-3=5 the property used in the first step is the____ property of equality
Answer:
x = 2
Step-by-step explanation:
4x-3 + 3 = 5 + 3
4x = 8
4x ÷ 4 = 8 ÷ 4
x = 2
Hi there!
»»————- ★ ————-««
I believe your answer is:
"When solving 4x-3=5 the property used in the first step is the addition property of equality."
[tex]\boxed{x = 2}[/tex]
»»————- ★ ————-««
Here’s why:
⸻⸻⸻⸻
We would 'undo' operations to solve for x. We would have to remove the '-3' first. Since the opposite of subtraction is addition, we would use the addition property of equality.⸻⸻⸻⸻
[tex]\boxed{\text{Solving for 'x'....}}\\\\4x-3=5\\----------\\\text{\textbf{Addition Property of Equality:} Add three on both sides.}}\\\\\rightarrow 4x - 3 = 5 \\\rightarrow 4x -3 + 3 = 5 + 3\\\\\rightarrow \boxed{4x = 8}\\\\\text{\textbf{Division Property of Equality:} Divide both sides by 4.}}\\\\\rightarrow {4x=8}\\\rightarrow \frac{4x=8}{4}\\\\\rightarrow \boxed{x = 2}[/tex]
⸻⸻⸻⸻
»»————- ★ ————-««
Hope this helps you. I apologize if it’s incorrect.
A ball is thrown upward with an initial velocity (v) of 15 meters per second. Suppose that the initial height (h) above the ground is 7
meters. At what time will the ball hit the ground? The ball is on the ground when S = 0. Use the equation S = -52 + vt + h.
The ball will hit the ground in how many
seconds?
Answer:
Step-by-step explanation:
Your equation is weird. The position equation for this situation is
[tex]s(t)=-4.9t^2+15t+7[/tex] and set it equal to 0 to solve for the time it takes to hit the ground. Those times come out to be
t = 3.47 sec and t = -.411 sec. But since time can never be negative, our time is 3.47 seconds
(What is that -52?)
Find the volume of the solid lying between two planes perpendicular to the x-axis at x = −1 and x = 1. The cross sections perpendicular to the x-axis are squares whose diagonals run from y = x 2 to y = 2 − x 2
I've attached a sketch of one such cross section (light blue) of the solid (shown at x = 0). The planes x = ±1 are shown in gray, and the two parabolas are respectively represented by the blue and orange curves in the (x, y)-plane.
For every x in the interval [-1, 1], the corresponding cross section has a diagonal of length (2 - x ²) - x ² = 2 (1 - x ²). The diagonal of any square occurs in a ratio to its side length of √2 : 1, so the cross section has a side length of 2/√2 (1 - x ²) = √2 (1 - x ²), and hence an area of (√2 (1 - x ²))² = 2 (1 - x ²)².
The total volume of the solid is then given by the integral,
[tex]\displaystyle\int_{-1}^1 2(1-x^2)^2\,\mathrm dx = \int_{-1}^1 (2-4x^2+4x^4)\,\mathrm dx = \boxed{\frac{32}{15}}[/tex]
What is the value of M
Answer:....... no clue ut pls mark me brainiest
Step-by-step explanation:
Mark purchashed 3 giant jawbreakers at 75cents each.he also bought 1/4 pound of hot tamales.which sell for $2.76 a pound.he gave the clerk a $5 bill.how much change did mark recieve? Whith his change,mark decided to buy 1/2 pound of m&ms at $3.24 a pound.how much money does mark have left?
Answer: $0.44
Step-by-step explanation: a) (3 * 0.75) + ((1/4)*2.76) = 2.25 + 0.69 = 2.94
Pays with $5 - $2.94 = $2.06 Change
((1/2) * 3.24) = $1.62
Money left = 2.06 - 1.62 => $0.44
Four times a number is 88 less than 6 times the number. Find the number.
Answer:
44
Step-by-step explanation:
Let x represent the number.
Create an equation, and solve for x:
4x = 6x - 88
-2x = -88
x = 44
So, the number is 44.
The number is 44.
To find the number.
What is arithmetic?science that deals with the addition, subtraction, multiplication, and division of numbers and properties and manipulation of numbers. Arithmetic is the basics of the abstract science of numbers and operations on them. The formula for any arithmetic sequence is this: an = a1 + d (n - 1).
Given that:
Let x represent the number.
Create an equation, and solve for x:
4x = 6x - 88
-2x = -88
x = 44
So, the number is 44.
Learn more about arithmetic here:
https://brainly.com/question/24163536
#SPJ2
The weight of a newborn is 7.5 pounds. The baby gained one-half pound a month constantly for its first year.
a) Find the linear function that models the baby’s weight, W, as a function of the age of the baby, in
months, t.
b) Find a reasonable domain and range for the function W.
c) If the function W is graphed, find and interpret the x- and y-intercepts.
d) If the function W is graphed, find and interpret the slope of the function.
e) When did the baby weight 10.4 pounds?
f) What is the output when the input is 6.2? Interpret your answer.
HELP ME PLEASE ASAP! So the answer for the question I got is 113.1. Is my answer correct or is it wrong? Please let me know how to solve this problem if the answer is wrong. Thank you for your time.
Answer: 113.01m - You are almost right
Step-by-step explanation:
Simply by using pir^2, you get the number you calculated, but it is asking for at least 2 decimal places. So it would be "113.01"
Need help
What is the domain shown in the graph
Answer:
A
Step-by-step explanation:
Find the circumference of a circle in terms of u with a radius of 10 ft.
100n ft
10 ft
5 ft
62.87 ft
20 ft
Answer:
[tex]2 \times \frac{22}{7} \times 10 = 62.87 [/tex]
I NEED HELP!!!!
If, XYZ~EDF the measure of angle F is
Answer:
63°
Step-by-step explanation:
∠F is equal to ∠Z
find the are of a polygon.
Answer: 54 SQUARE UNITS ITHINK!!
Step-by-step explanation:
A statewide real estate sales agency, Farm Associates, specializes in selling farm property in the state of Nebraska. Its records indicate that the mean selling time of farm property is 90 days. Because of recent drought conditions, the agency believes that the mean selling time is now greater than 90 days. A statewide survey of 100 recently sold farms revealed a mean selling time of 94 days, with a standard deviation of 22 days.
At the 0.10 significance level, has there been an increase in selling time?
a. What is the decision rule? (Round your answer to 3 decimal places.)
b. Compute the value of the test statistic. (Round your answer to 2 decimal places.)
c. What is your decision regarding H0?
Answer:
Test statistic = 1.818
Reject H0
Step-by-step explanation:
H0 : μ = 90
H1 : μ > 90
xbar = 94 ; s = 22 ; n = 100
The test statistic : (xbar - μ) ÷ (s/√(n))
Test statistic = (94 - 90) ÷ (22/√100)
Test statistic = 4 ÷ 2.2
T = 1.818
The critical value :
At α = 0.10
Degree of freedom = n - 1 = 100 - 1 = 99
Tcritical(0.10, 99) = 1.290
Decison region :
Reject H0 if Test statistic > |Tcritical |
1.818 > 1.290
We reject H0
