Answer:
Step-by-step explanation: A=wl=7·11=77
Answer:
75 sq ft i think
Step-by-step explanation:
A private lake sells boating memberships and currently has 600 members. During the application process the potential members are asked which recreational activity they do the most. Their choices are fishing, skiing, boarding, swimming, or tubing. The lake manager chooses clients according to their interests to maximize the use of all areas of the lake. Every month, the lake rangers randomly sample the boats on the lake and categorize them according to the activity they are doing. The lake manager performs a chi-square goodness-of-fit test using the following null hypothesis to see whether their samples differ significantly from what the original applications claim.
H0:pfish=0.26,pski=0.21,pboard=0.30,pswim=0.12,ptube=0.11
In order to meet the conditions for independence and large counts for a chi-square goodness-of-fit test, which of the following represents all possible sizes of the monthly samples?
a. n≥30
b. 30≤n≤50
c. 46≤n≤60
d. n≥46
e. n≤60
Answer:
46 ≤ n ≤ 60 ( C )
Step-by-step explanation:
using the given null hypothesis to check if the samples differ from originally values
given that: frequency ( f ) ≥ 5
N = 600
hence : n * 0.11 ≥ 5
therefore : n ≥ 45.45
next : also n / N ≤ 0. 10
therefore: n ≤ 0.1 * 600
therefore all possible sizes will lie between
46≤n≤60
Mopeds (small motorcycles with an engine capacity below 50 cm^3) are very popular in Europe because of their mobility, ease of operation, and low cost. Suppose the maximum speed of a moped is normally distributed with mean value 46.8 km/h and standard deviation 1.75 km/h. Consider randomly selecting a single such moped.
Required:
a. What is the probability that maximum speed is at most 49 km/h?
b. What is the probability that maximum speed is at least 48 km/h?
c. What is the probability that maximum speed differs from the mean value by at most 2.5 standard deviations?
Answer:
a) 0.1038 = 10.38% probability that maximum speed is at most 49 km/h
b) 0.2451 = 24.51% probability that maximum speed is at least 48 km/h
c) 0.9876 = 98.76% probability that maximum speed differs from the mean value by at most 2.5 standard deviations
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 value 46.8 km/h and standard deviation 1.75 km/h.
This means that [tex]\mu = 46.8, \sigma = 1.75[/tex]
a. What is the probability that maximum speed is at most 49 km/h?
This is the pvalue of Z when X = 49. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{49 - 46.8}{1.75}[/tex]
[tex]Z = 1.26[/tex]
[tex]Z = 1.26[/tex] has a pvalue of 0.8962
1 - 0.8962 = 0.1038
0.1038 = 10.38% probability that maximum speed is at most 49 km/h.
b. What is the probability that maximum speed is at least 48 km/h?
This is 1 subtracted by the pvalue of Z when X = 48. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{48 - 46.8}{1.75}[/tex]
[tex]Z = 0.69[/tex]
[tex]Z = 0.69[/tex] has a pvalue of 0.7549
1 - 0.7549 = 0.2451
0.2451 = 24.51% probability that maximum speed is at least 48 km/h.
c. What is the probability that maximum speed differs from the mean value by at most 2.5 standard deviations?
Zscores between Z = -2.5 and Z = 2.5, which is the pvalue of Z = 2.5 subtracted by the pvalue of Z = -2.5
Z = 2.5 has a pvalue of 0.9938
Z = -2.5 has a pvalue of 0.0062
0.9938 - 0.0062 = 0.9876
0.9876 = 98.76% probability that maximum speed differs from the mean value by at most 2.5 standard deviations
3 + (2 + 8)2 ÷ 4 × 1/ 2 to the power of 4
Answer:
The answer to this is 4 and 9 over 16.
Step-by-step explanation:
The expression is 3 + (2 + 8)^2 ÷ 4 × 1 over 2 to the power of 4 . it can be represented mathematically as
3 + (2 + 8)^2 ÷ 4 × (1/2)^4
using PEMDAS
parenthesis come first
3 + 10^2 ÷ 4 × (1/2)^4
exponential comes next
3 + 100 ÷ 4 × 1/16
3 + 25 × 1/16
3 + 25/16
(48 + 25)/16
73/16
4 9/16
Please help me! I will give brainliest
Find the values of x and y that make the quadrilaterals a parallelogram
Answer:
x = 3
m<m = 114°
m<n = 66°
Step-by-step explanation:
✔️Opposite angles of a parallelogram are always congruent to each other.
Therefore:
m<m = 114°
m<n = 66°
✔️Opposite sides of a parallelogram are also congruent. This implies that:
7x - 3 = 4x + 6
Collect like terms
7x - 4x = 3 + 6
3x = 9
Divide both sides by 3
3x/3 = 9/3
x = 3
A cookie factory can bake 62 trays of cookies in the morning and 53 trays of cookies in the afternoon. If each tray holds 12 cookies, how many cookies can be baked in 1 day?
Answer:
I belive the answer is 1380.
Elizabeth brought a box of donuts to share. There are two-dozen (24) donuts in the box, all identical in size, shape, and color. Two are jelly-filled, 6 are lemon-filled,
and 16 are custard-filled. You randomly select one donut, eat it, and select another donut. Find the probability of selecting a jelly-filled donut followed by a lemon-filled
donut.
(Type an integer or a simplified fraction.)
Step-by-step explanation:
P(A) = 5/24
P(B|A) = 5/23
(5/24)(5/23) = 25/552
What is the area of the triangle?
Answer:
120
Step-by-step explanation:
since its a right-angled triangle you will use the formula:1/2 of the base × height
Answer:
[tex]120^{2}[/tex]
Step-by-step explanation:
Heron's formula
(for every triangle, you can use this same formula. just change the value of the letters)
a = 26
b = 10
c = 24
s = area
S = [tex]\sqrt{s(s - a)(s - b)(s - c)}[/tex]
S = [tex]\frac{(a+b+c)}{2}[/tex]
Need some help :(
What is the speed of a jet plane that flies 8100 km in 9 hours?
A. 900 km/sec
B. 900 km/hr
C. 900 meters/sec
D. 900 km/hr/hr
I will give Brainliest !!
Answer:
::::::::::::::::
B. 900 km/h
Describe the shape that results from a cross section that is parallel to the base of a right cylinder.
Answer:
Circles
Step-by-step explanation:
Think of a soup can sitting on its base on a kitchen counter. The counter is an example of a plane (through) parallel to the base. The points where the can and counter intersect form a circle. Put a book on top of the can. Again, the plane of the book is parallel to the base and the book and can intersect in a circle.
The same thing would happen if you cut the can open with a plane anywhere in between the two mentioned above, but it would make a mess!
The answer is circles. If you cut this shape in half you will get two circles.
What is the probability of choosing an ace from a deck of cards? Type your answer as a fraction.
Answer:
Step-by-step explanation:
there are 52 cards in a deck, there are 4 aces. This would create a fraction of 4/52. (using the probaility set up of what I want over the total of everything). I hope this helps!
HELP PLS DUE NOW BRAINLIEST AND A THANKS
Answer:
D
Step-by-step explanation:
The researcher did no prediction or any (possible)
Hope this helps :)
Put this numbers from least to greatest.
A: 3.2, 0.67, 9, 1.78
B: 1/2, 1/4, 6, 3/4, 7/8
please please please please help me please please please please please please please please please please.
Answer:
1/4, 1/2, .67, 3/4, 7/8, 1.78, 3.2, 6, 9
Answer:
A: 9, 3.2, 1.78, 0.67
B: 6, 7/8, 3/4, 1/2, 1/4
all together 9, 6, 3.2, 1.78, 7/8, 3/4, 0.67, 1/2, 1/4
Step-by-step explanation:
Evaluate 7 + 5^ 2 . 4.
7+5^2.4
=7+47.591348
=54.591348
Answer: 7 + 5^ 2 . 4= 107 if you evaluate sorry if i am wrong
Step-by-step explanation:
17 m
17 m
16 m
Find the area of the isoceles triangle.
The area is
square meters.
9514 1404 393
Answer:
120 m²
Step-by-step explanation:
If you divide the isosceles triangle into two right triangles, each has a leg and hypotenuse of 8 and 17, respectively. You may recognize these numbers as part of the Pythagorean triple (8, 15, 17). That recognition tells you the triangle's height is 15 m, so its area is ...
A = 1/2bh
A = 1/2(16 m)(15 m) = 120 m² . . . . triangle area
__
Alternate solutions
Given the three sides, you can find the smallest angle from the Law of Cosines. It will be ...
α = arccos((17² +17² -16²)/(2·17·17)) ≈ 56.144°
Then the area is ...
A = 1/2·ab·sin(C) . . . for triangle with sides a, b, c and opposite angles A, B, C
A = 1/2sin(α)·17·17 = 120 . . . m²
__
Using Heron's formula:
s = (17 +17 +16)/2 = 25
A = √(25(25 -17)(25 -17)(25 -16)) = 5×8×3 = 120 . . . m²
__
If you need to, you can compute the triangle's height from the Pythagorean theorem.
a² +b² = c² . . . . generic Pythagorean theorem equation
8² + h² = 17² . . . with relevant values filled in
h² = 289 -64 = 225
h = √225 = 15
What Are the missing numbers?
Answer:
[tex] y = -\frac{3}{2}x + 12 [/tex]
Step-by-step explanation:
The missing numbers represent the slope/rate of change (m) and y-intercept (b) of the table of values given.
✔️Let's find slope (m) using any two given pairs of values, say (2, 9) and (4, 6):
Slope (m) = change in y/change in x
= (6 - 9)/(4 - 2)
= -3/2
m = -³/2
✔️Find b by substituting (x, y) = (2, 9), and m = -³/2 into y = mx + b
Thus,
9 = -³/2(2) + b
9 = -3 + b
9 + 3 = b
b = 12
The missing numbers are -³/2 and 12.
Which will give us:
[tex] y = -\frac{3}{2}x + 12 [/tex]
6. Alice is covering a foam cube with fabric to make a footstool. Each side of the cube is 20 inches. How
many square inches of fabric will she need?
120 in? of fabric
0 720 in.of fabric
1,200 in? of fabric
2,400 in 2 of fabric
HELP PLEASEE HURRY PLEASE
Answer:
Here
Step-by-step explanation:
2. A paving company is paving the rectangular student parking lot at Hamilton High School. The
length of the parking lot can be represented as (5p - 7) and the width as (3p + 4). Which
expression represents the area of the parking lot?
Answer:
15p2 - p - 28
Step-by-step explanation:
Shannon states that
7
5
8
−
5
1
3
=
2
4
5
because
7
−
5
=
2
,
5
−
1
=
4
, and
8
−
3
=
5
.
First, state whether you agree or disagree. Then, explain briefly how to subtract mixed numbers with unlike denominators. Be sure to show your solution as a subtraction equation.
I disagree with Shannon's statement that 758−513=245 based on the reasoning provided.
What is equation?An equation is a mathematical statement that shows that two expressions are equal. It consists of two sides separated by an equal sign (=). The expressions on both sides of the equal sign can contain variables, constants, coefficients, and mathematical operations such as addition, subtraction, multiplication, division, exponentiation, logarithms, etc.
Here,
While it is true that 7−5=2, 5−1=4, and 8−3=5, this reasoning only applies to the individual digits in each place value, not the numbers as a whole. To subtract the two mixed numbers 7 5/8 and 5 1/3, we need to find a common denominator first.
To subtract mixed numbers with unlike denominators, we follow these steps:
Convert each mixed number to an improper fraction.
Find a common denominator for the two fractions.
Subtract the numerators and write the result over the common denominator.
Simplify the result, if possible, by reducing the fraction to lowest terms or converting it back to a mixed number.
Let's apply these steps to the problem:
7 5/8 - 5 1/3
Step 1: Convert each mixed number to an improper fraction.
7 5/8 = (87 + 5)/8 = 59/8
5 1/3 = (35 + 1)/3 = 16/3
Step 2: Find a common denominator for the two fractions.
The least common multiple of 3 and 8 is 24, so we'll use 24 as the common denominator.
59/8 = (593)/(83) = 177/24
16/3 = (168)/(38) = 128/24
Step 3: Subtract the numerators and write the result over the common denominator.
177/24 - 128/24 = 49/24
Step 4: Simplify the result, if possible, by reducing the fraction to lowest terms or converting it back to a mixed number.
49/24 is already in its simplest form, so the final answer is 49/24.
Therefore, the correct result of 7 5/8 - 5 1/3 is 49/24, not 245.
To know more about equation,
https://brainly.com/question/649785
#SPJ1
The base of a square prism has an area of 16 sq inches. The height of the prism is 6 inches. What is the Surface are of the square prism?
Answer:
96
Step-by-step explanation: because you need to multiply 16 and 6 and when you multiply them you will get 96
The surface area of 128 square inches.
What is surface area?The total surface area of a three-dimensional form is the sum of all the surfaces on each side.
Given the area of the base of the square prism is 16 inches. so each side of the base is 4 inches. and the height is given 6 inches.
hence, surface area of the given square prism = 2(area of base + 2 * area of one side)
area of one side = 4* 6 = 24
so, surface area of square prism = 2 (16 + 2 * 24) = 128 square inches
Therefore, 128 square inches is the surface area of the square prism.
Learn more about the Surface area here:
https://brainly.com/question/10026601
#SPJ2
Identify the percent of increase from 25 to 65. (To the nearest tenth of a percent)
Answer:
160%
Step-by-step explanation:
(65 - 25 )/25 x 100% = 160%
please help marking brainliest if it's correct and explain
Answer:
mean means average so I think i should have first add all the numbers then divide by the number of the numbers I think that's the method if you don't see it correct then it's alright but I believe it's correct.
THIS IS THE LAST ONE STANKY PLS HELP MEE ❤️
Answer: 31.5
Step-by-step explanation:
Fiest the formula of a triange is : b times h/2
B=3.5, H=18
3.5 times 18 divided by 2= 31.5
Since it aks for the area of only one triangle it will be 31.5!
I hope this helps and may God bless you! Have a nice day, bye!
Two non-congruent circles intersect and have a common chord 40 cm
long. The centers of the circles are 63 cm apart. The radius of one circle is
52 cm. Find the radius of the other circle.
Please include all work and sketch
Answer:
25 cmStep-by-step explanation:
The chord and the segment between the centers form the diagonals of a kite with each pair of side being the radius of the circles.
As we know the long diagonal bisects the shorter one and they are perpendicular.
Using Pythagorean, lets find the distance between the center of a greater circle and the chord:
52² - (40/2)² = 2304 ⇒ √2304 = 48 cmThe distance from the center of smaller circle and the chord is:
63 - 48 = 15 cmNow using Pythagorean again, find the radius of the smaller circle:
15² + (40/2)² = 625 ⇒ √625 = 25 cmplease help. my khan is due at 6
Answer:
10.5 meter sqaured
Step-by-step explanation:
Answer:
Answer is 10.5 meters squared
Step-by-step explanation:
Given that there are 5,280 feet in one mile, how many feet does this man
now run in one minute
Answer:
how fast is he running???
Which ratio represents cos x in the triangle to the right ?
Answer: 45/53
Step-by-step explanation:
CAH is Adjacent over Hypotenuse
what is robert hoover’s name? only for robbie
Answer:
Hoover flew Spitfires in the United States Army Air Forces during World War II and was shot down in 1944 off the coast of France. He was held for over a year in a German POW camp before eventually escaping and flying to safety in a stolen enemy aircraft. He then worked as a United States Air Force and civilian test pilot after the war, flying chase for the Bell X-1 supersonic flight, and as a flight instructor for North American Aviation during the Korean War.
He is best known as an air show display pilot, who flew for nearly 50 years until his retirement in 1999.[1] Known as the "pilot's pilot", Hoover revolutionized modern aerobatic flying and has been described in many aviation circles as one of the greatest pilots of all time.
Step-by-step explanation:
pls give me brainless
How many 2 1/3 yards to feet?
Answer:
6.99 rounded up to 7 :))
Step-by-step explanation:
1/3 = 0.33
2.33 * 3 = 6.99 ft