Answer:
[tex]a'=4.5[/tex]
[tex]b'=7.5[/tex]
[tex]c'=9[/tex]
[tex]d'=12[/tex]
[tex]e'=15[/tex]
Step-by-step explanation:
From the question we are told that:
Sides of Polygon 1
a=3
b=5
c=6
d=8
e=10
Perimeter of polygon 2 P_2=48
Generally the equation for Polygon 1 is mathematically given by
P_1=a+b+c+d+e
P_1=3+5+6+8+10
P_1=32
Generally the sides of similar polygon with Perimeter P_2=48 is mathematically given by
Side\ of\ polygon\ 2 =\frac{side\ of\ polygon\ 1}{perimeter\ of\ polygon\ 1}*perimeter\ of\ polygon\ 2
Therefore
[tex]a'=\frac{a}{P_1}*P_2\\a'=\frac{3}{32}*48[/tex]
[tex]a'=4.5[/tex]
[tex]b'=\frac{b}{P_1}*P_2\\b'=\frac{5}{32}*48[/tex]
[tex]b'=7.5[/tex]
[tex]c'=\frac{c}{P_1}*P_2\\c'=\frac{6}{32}*48[/tex]
[tex]c'=9[/tex]
[tex]d'=\frac{d}{P_1}*P_2\\d'=\frac{8}{32}*48[/tex]
[tex]d'=12[/tex]
[tex]e'=\frac{e}{P_1}*P_2\\e'=\frac{10}{32}*48[/tex]
[tex]e'=15[/tex]
Departmental Store Agora claims that their mean weekly sales of Aerosol were at most 2,400 packages over the past 6 months and population distribution is unknown. The manager wants to check if the sales have decreased in recent times. He obtained a random obtained sample of sales data from 61 stores and found that the sample mean is 3,593 packages with sample standard deviation 4919. At 7% significance level, using critical value approach see if the claim is true or not.
Answer:
There is enough statistical evidence to suggest that the department's claim is not true
Step-by-step explanation:
The mean weekly sales μ₀ ≤ 2,400 packages
The period over which the weekly sales were measured = Over the last 6 months
The number of stores in the sample, n = 61 stores
The sample mean, [tex]\overline x[/tex] = 3,593
The sample standard deviation, s = 4919
The significance level = 7% = 0.07
The critical value approach
The null hypothesis, H₀; μ ≤ μ₀
The alternative hypothesis, Hₐ; μ > μ₀
The test statistic is given as follows;
[tex]t=\dfrac{\bar{x}-\mu }{\dfrac{s}{\sqrt{n}}}[/tex]
We get;
[tex]t=\dfrac{3,593-2,400}{\dfrac{4,919}{\sqrt{61}}} \approx 1.894[/tex]
With df = n - 1 = 61 - 1 = 60 at 7% significant level, from a graphing calculator the critical-t, = 1.495598
The p-value at the test statistic is between 0.01 and 0.005
Given that the p-value is less than the significant level, and the test statistic is larger than the critical-t we reject the null hypothesis, that the mean weekly aerosol sale is less than 2,400 packages.
Therefore, there is sufficient statistical evidence to suggest that the departments claim is not true and the mean sales of Aerosols have increased to more than 2,400 packages
If 50% of the basketball players scored fewer than 8 points in the tournament, what is the approximate probability that a basketball player
who practiced for more than 3 hours scored fewer than 8 points?
A. 0.04
B. 0.05
C. 0.10
D. 0.12
Step-by-step explanation:
A because you divide shshehxyhdjdhxhdhd
#15: A shipment to a warehouse consists of 2,000 watchbands. The
manager chooses a random sample of 50 watchbands and finds that 2 are
defective. How many watchbands in the shipment are likely to be
defective?
watchbands
HELP
2 out of 50 are defective.
Divide 2 by 50: 2/50 = 0.04
Now multiply the total quantity by that:
2000 x 0.04 = 80
80 are likely to be defective.
Find the distance between the two points.
(4,3)
✓ [?]
Enter the number that
goes beneath the
radical symbol.
Answer: 89 will go in the box
This means the exact distance between the two given points is [tex]\sqrt{89}[/tex] which approximates to roughly 9.4339811
===========================================================
Explanation:
To get that answer, we can apply the distance formula
(x1,y1) = (-1,-5) is the first point
(x2,y2) = (4,3) is the second point
Plug the coordinates into the distance formula
[tex]d = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}\\\\d = \sqrt{(-1-4)^2 + (-5-3)^2}\\\\d = \sqrt{(-5)^2 + (-8)^2}\\\\d = \sqrt{25 + 64}\\\\d = \sqrt{89}\\\\d \approx 9.4339811\\\\[/tex]
--------------------------
Alternative Method:
You could also form a right triangle by adding the point (4, -5). The horizontal leg goes from (-1,-5) to (4,-5) which is a span of 5 units. The vertical leg goes from (4,-5) to (4,3) which is a span of 8 units. The hypotenuse is from (-1,-5) to (4,3) which is the distance we want to find.
After forming the triangle and determining the leg lengths, use the pythagorean theorem and you should get [tex]\sqrt{89}[/tex] as the length of the hypotenuse. As you can probably guess, the distance formula is effectively a slight rephrasing the pythagorean theorem.
2. Alexis bought four jars of pickles. The total mass of the four jars was 12 kilograms. What is the mass, in grams, of each jar of pickles? Anwsers:
Answer:
it´s 3,000
Step-by-step explanation:
Question is in the screenshot...
Step-by-step explanation:
m L 1 = 130° (alternate interior angles)
m L 2 = 180°- m L 1 (supplementary)
= 180° - 130° = 50°
Vertical angles are supplementary
m<2
180-13050°m<1
180-50130°Determine whether the point (-3,-6) is in the solution set of the system of inequalities below
y5/3x+2
A) There isn't enough information given
B) The point (-3,-6) is not in the solution sei.
C)The point (-3-6) is in the solution set.
D) The point (-3,-6) is in the solution set under certain conditions.
Answer:
A
Step-by-step explanation:
There isnt enough information given.
Hope it helps u
Please mark as the brainliest
Find AB. Round to the nearest tenth if necessary.
Answer:
I think the right answer would be 7
Step-by-step explanation:
We got-ta use the equation: CA * BA = DA²
CA = 15 + BA
DA² = 8² = 64
=> (15 + BA) BA = 64
Subtract 15 from each side:
BA(BA) = 49
BA² = 49
Now take the square root of each side
BA = 7
Hope this helps!
solve for cos(57)=x/15
Step-by-step explanation:
cos(57)=x/15
0.544×15=xx=8.16stay safe healthy and happy.Answer:
If you mean 57 degrees then the answer is 8.1695...
If you mean 57 radians then the answer is 13.498...
Step-by-step explanation:
Isolate the x by multiplying 15 on both sides
15 x cos(57) = x
Help me pleasee I’m timed
Q8. Look at the image.
Answer:
Option B
Step-by-step explanation:
Quadratic equation given in the question is,
[tex]x^2+4x+2=0[/tex]
By comparing this equation with the standard quadratic equation,
[tex]ax^2+bx+x=0[/tex]
[tex]a=1,b=4[/tex] and [tex]c=2[/tex]
By using quadratic formula to get the roots of the given quadratic equation,
[tex]x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}[/tex]
By substituting the values of a, b and c in the formula,
[tex]x=\frac{-4\pm\sqrt{4^2-4(1)(2)}}{2(1)}[/tex]
[tex]x=\frac{-4\pm\sqrt{16-8}}{2}[/tex]
[tex]x=\frac{-4\pm\sqrt{8}}{2}[/tex]
[tex]x=\frac{-4-\sqrt{8}}{2},\frac{-4+\sqrt{8}}{2}[/tex]
[tex]x=-3.414,-0.5857[/tex]
[tex]x=-3.41,-0.59[/tex]
Therefore, Option B will be the answer.
A. X = 18
B. X = 48
C. X = 82
D. X = 98
Answer:
b. x=48
Step-by-step explanation:
just try each one until you get an answer that equals to 180 degrees
Answer:
the answer is b.X=48....
Can someone help me with this problem please thank youu how do you do it ?
Answer:
A) x = 6 y = 6√3
Step-by-step explanation:
30-60-90 Triangle rule states that the hypothesis is 2x, the short leg is x, and the long leg is x√3. So, the short leg is 12/2 = 6, and the long leg is 6√3.
A restaurant offers three types of meats: chicken, beef,
and pork. The waiters surveyed 50 customers at random
about their favorite type of meat. The results are listed in
the table and on the graph below. If the restaurant
orders 400 pieces of meat, how many pieces should be
chicken?
Answer:
200
Step-by-step explanation:
If the waiters surveyed 50 customers and half of the customer's favorite meat was chicken, then if 400 pieces of meat were ordered 200 pieces should be chicken.
If [tex]\frac{50}{chicken}[/tex] = [tex]\frac{50}{25}[/tex] = [tex]\frac{1}{2}[/tex], then [tex]\frac{400}{chicken}[/tex] = [tex]\frac{400}{2}[/tex] = [tex]2[/tex]
I hope that makes sense :)
Find the volume of a pyramid with a square base, where the perimeter of the base is 10.7\text{ ft}10.7 ft and the height of the pyramid is 9.8\text{ ft}9.8 ft.
The volume of the pyramid is 23.375 ft^3.
We have,
Volume = (1/3) * Base Area * Height
In this case, the base of the pyramid is a square, and the perimeter of the base is given as 10.7 ft.
The perimeter of a square is equal to 4 times the length of one side.
Let's denote the length of one side of the square base as s.
And,
4s = 10.7
Solving for s:
s = 10.7 / 4 = 2.675 ft
Base Area = s^2
Plugging in the value of s:
Base Area = (2.675 ft)^2 = 7.156 ft^2
Now,
Volume = (1/3) * Base Area * Height
Volume = (1/3) * 7.156 ft^2 * 9.8 ft
Volume = 23.375ft^3 (rounded to six decimal places)
Therefore,
The volume of the pyramid is 23.375 ft^3.
Learn more about pyramid here:
https://brainly.com/question/17615619
#SPJ4
Calcula la hipotenusa del triángulo rectángulo cuyos lados miden 8 y 9
Respuesta:
12.04 pero puede ser 12
Step-by-step explanation:
a^2 + b^2 = c^2
8^2 + 9^2 = c^2
64 + 81 = 145^2
√145 = 12.04 = 12
A grocer purchased 80kg of rice at rs90 per kg and sold at rs 99 per kg. 1)Find his profit/loss. 2)Find his profit/loss percent.
Answer:
Step-by-step explanation:
A grocer purchased 80kg of rice at rs90 per kg and sold at rs 99 per kg. 1)Find his profit/loss. 2)Find his profit/loss percent
Write the equation of the line Perpendicular to g (x) = 3x – 0.77, going through the point (0,-5). Show all work.
Answer:
y = -⅓x - 5
Step-by-step explanation:
the slope of g(x) = 3
=> the slope of the line perpendicular
to g(x) = -1 /3
so,
the line is :
y +5 = -⅓(x-0)
y = -⅓x - 5
On comparison to slope intercept form
slope=m=3Perpendicular lines have slopes negative reciprocal to each other
Slope of perpendicular line=-1/3
Equation
y+5=-1/3xy=-1/3x-5Help me with this please!!!!!!
Answer:
w = [tex]14\sqrt{2}[/tex]
Step-by-step explanation:
Sin(60) = [tex]7\sqrt{6}[/tex] / w
Sin(60) * w = [tex]7\sqrt{6}[/tex]
w = [tex]7\sqrt{6}[/tex] / Sin(60)
w = [tex]14\sqrt{2}[/tex]
Hope this helps!
If NP= 9 and MP = 15, What is the length of OP
Answer: 5.4
Step-by-step explanation:
pls help and show work! giving brainliest and thanks :)
Answer:
Step-by-step explanation:
mean : added up the values and divide the result by the number of the values
Mr Jones = (5 + 6.25 + 5.75 + 6.50 + 8)/5 = $6.30
Mrs Jones = (5.50 + 7 + 6.25 + 5.75 + 7.75)/5 = $6.45
The difference between the two mean is 15 cents or $0.15
Functions A and B give the population of City A and B respectively, t years since 1990. In each function, population is measured in millions.
Answer:
[tex]B(4) > A(4)[/tex]
[tex]t = 6[/tex]
Step-by-step explanation:
Given
[tex]City\ A \to Purple[/tex]
[tex]City\ B \to Blue[/tex]
See attachment for both functions
Solving (a): Which is greater in A(4) and B(4).
From the readings of the graph
[tex]A(4)= 1.8[/tex]
[tex]B(4) = 2.6[/tex]
By comparison:
[tex]B(4) > A(4)[/tex] because [tex]2.6 > 1.8[/tex]
Solving (b): When is A(t) = B(t)
From the readings of the graph
[tex]A(t) = B(t)[/tex] when [tex]t = 6[/tex]
i.e.
[tex]A(t) = B(t) = 3\ million[/tex]
What is the vertex of the parabola? y+1=−14(x−2)2 Enter your answer in the boxes.
Answer:
y + 1 = -14(x - 2)^2y = -14(x - 2)^2 - 1
Step-by-step explanation:
Help for brainlest if right
Find the area: to the nearest whole number
Answer:
The area of the composite area is 400 square millimeters.
Step-by-step explanation:
The area of the composite figure ([tex]A[/tex]), in square millimeters, is found by multiplying the area of the equivalent rectangle, in which a semicircle of the original rectangle is move to the opposite side of the figure, so that quantity of area is conserved:
[tex]A = w\cdot h[/tex] (1)
Where:
[tex]w[/tex] - Width, in millimeters.
[tex]h[/tex] - Height, in millimeters.
If we know that [tex]h = w = 20\,mm[/tex], the area of the composite figure is:
[tex]A = (20\,mm)\cdot (20\,mm)[/tex]
[tex]A = 400\,mm^{2}[/tex]
The area of the composite area is 400 square millimeters.
I'm currently freaking out right now. How long would it take me to get somewhere going 5 mph(on average) going to a place that is 6.2 miles away? I'm sneaking out tonight and i need to know what time to leave:) if you could leave an answer that actually helps, it would be appreciated
Answer:
31
Step-by-step explanation:
I think the correct answer is 31
Estimate the radius of the object. Round to the nearest hundredth if necessary.
A circular sewer cover with circumference labeled 122 inches.
Answer:
The radius is 19.42 inches.
Step-by-step explanation:
Start with the formula for finding the circumference of a circle, which is C=2[tex]\pi[/tex]r.
Then, derive the formula in order to find the radius, which the formula should then look like r= C/2[tex]\pi[/tex].
Finally, plug in the corresponding numbers, which is r= 122 inches/ 2[tex]\pi[/tex]. The final answer is 19.42 inches.
Find the missing side or angle.
Round to the nearest tenth.
A=15°
C= 120°
b=3
c=[? ]
Answer:
3.7
Step-by-step explanation:
Acellus
find the volume of the rectangular prism below 3.6ft, 2.7ft, 8.1ft
A pyramid has a(n)
for a base and a number of
that all meet at the
same
A. edge; faces; plane
B. altitude; edges; point
C. polygon; faces; vertex
D. polygon; points; point
Answer:
I believe C
Step-by-step explanation:
hope this helps