Answer:
[tex]2360m^2[/tex] of sheet steel are needed
Step-by-step explanation:
Given
The missing dimensions are:
[tex]Length = 5m[/tex]
[tex]Width = 6m[/tex]
[tex]Height = 8m[/tex]
[tex]n=10[/tex] --- number of containers
Required
The surface area of all containers
First, we calculate the surface area (A) of 1 container
[tex]A=2*(Length * Width + Length * Height + Width * Height)[/tex]
[tex]A=2*(5m* 6m+ 5m* 8m+ 6m * 8m)[/tex]
[tex]A=2*(30m^2 + 40m^2 + 48m^2)[/tex]
[tex]A=2*(118m^2)[/tex]
[tex]A=236m^2[/tex]
The surface area of 10 is:
[tex]Area = 10 * A[/tex]
[tex]Area = 10 * 236m^2[/tex]
[tex]Area = 2360m^2[/tex]
You measure 30 dogs' weights, and find they have a mean weight of 31 ounces. Assume the population standard deviation is 6.1 ounces. Based on this, construct a 95% confidence interval for the true population mean dog weight. Give your answers as decimals, to two places
Answer:
The answer is "[tex](32.8318736, 29.1681264)[/tex]"
Step-by-step explanation:
When the [tex]95\%[/tex] of the confidence interval are true population means of the dog weight then:
[tex]=\bar{x} \pm \frac{\sigma }{\sqrt{n}} \times z_{0.05}\\\\=31 \pm \frac{6.1}{\sqrt{30}}\times 1.64485\\\\=31 \pm 1.83187361\\\\=(32.8318736, 29.1681264)[/tex]
Identify an equation in slope-intercept form for the line parallel to y = 5x + 2 that passes through (-6, -1). O A. y = 5x – 29 O B. y = 1x+ 1 5 O C. y = 5x + 29 OD. y = -5x - 11
Answer:
[tex]{\text{C. }y=5x+29[/tex]
Step-by-step explanation:
The slope-intercept form of a line is given by [tex]y=mx+b[/tex], where [tex]m[/tex] is the slope of the line and [tex]b[/tex] is the y-intercept.
The slopes of parallel lines are always equal. Therefore, the slope of the equation we want to find will also be [tex]5[/tex]. The equation of the line must be true for any point it passes through. Thus, we can plug in the point [tex](-6,-1)[/tex] to solve:
[tex]y=mx+b,\\-1=5(-6)+b,\\-1=-30+b,\\b=29[/tex]
Thus, the equation of the line is [tex]\boxed{\text{C. }y=5x+29}[/tex]
When a triangle is inscribed in a semicircle where a diameter of the circle is a side of the triangle, the triangle formed is always a right triangle. If an isosceles triangle (two equal sides) is inscribed in a semicircle with a radius of 9 inches, find the length of the two legs of the triangle.
Answer:
Step-by-step explanation:
diameter = 18 inches
each leg = 18/√2 = 9√2 ≅ 12.7 inches
The length of the two legs of the isosceles triangle is 9√2.
What is a triangle?A triangle is a geometric figure with three edges, three angles and three vertices. It is a basic figure in geometry.
The sum of the angles of a triangle is always 180°
Given that,
When a triangle is inscribed in a semicircle with one side being the diameter of the circle, a right triangle is always created.
Also, the radius of semicircle is 9 inches,
Since, the isosceles triangle inscribed in the semicircle.
Sides of an isosceles triangle are equal, therefore the corresponding angle will also equal.
The sum of all three angles of a triangle is 180°
x+x+90 = 180
2x = 90
x=45
radius of circle is 9 inches, therefore diameter of circle = 18 inches
Apply sin rule,
18/sin90 = x/sin45
18/1 = x/1/√2
x= 9√2
The length of the side of the isosceles triangle is 9√2.
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According to a government study, among adults in the 25- to 34-year age group, the mean amount spent per year on reading and entertainment is $2,020. Assume that the distribution of the amounts spent follows the normal distribution with a standard deviation of $456. Use Appendix B.3. (Round your z-score computation to 2 decimal places and final answers to 2 decimal places.) What percent of the adults spend more than $2,600 per year on reading and entertainment
Answer:
z = x-u/s
z = 2600 - 2020/456
z = 1.27
= .897
1-.898 = .102
z > 1.27 = 10.2%
The percentage of adults spending more than $2,600 per year on reading and entertainment is 10.2%.
What is the z-score?The standard score in statistics is the number of standard deviations that a raw score deviates from or exceeds the mean of the phenomenon being observed or assessed. Standard scores are positive for raw scores above the mean and negative for raw scores below the mean.
Given that according to a government study, among adults in the 25- to 34-year age group, the mean amount spent per year on reading and entertainment is $2,020. Assume that the distribution of the amounts spent follows the normal distribution with a standard deviation of $456.
The percentage will be calculated as,
z = x-u/s
z = 2600 - (2020/456)
z = 1.27
The value of z=1.27 in the table is 0.897. The percentage will be calculated as,
P = 1-.898 = .102
z > 1.27 = 10.2%
Therefore, the percentage of adults spending more than $2,600 per year on reading and entertainment is 10.2%.
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The formula for the area of a parallelogram is A = bh, where b is the base and h is the height.
A parallelogram that is not drawn to scale. The height is labeled (x minus 4) centimeters. The base is labeled (2 x squared + 2 x minus 6) centimeters.
Which simplified expression represents the area of the parallelogram?
Answer:
Area = 2x^3 - 6x^2 - 14x + 24
Step-by-step explanation:
h = x - 4
b = 2x^2 + 2x - 6
Area = b * h
Area = (x - 4)(2x^2 + 2x - 6) Multiply through by x
Area = 2x^3 + 2x^2 - 6x - 8x^2 - 8x + 24 Multiply through by -4
Area = 2x^3 + (2x^2 - 8x^2) - 6x - 8x + 24 Collect like terms.
Answer
Area = 2x^3 - 6x^2 - 14x + 24
Answer:
D
Step-by-step explanation:
TEST ON EDGE
Suppose a binomial trial has a probability of success of 0.9, and 750 trials are
performed. What is the standard deviation of the possible outcomes? Round
your answer to two decimal places.
A. 13.69
B. 13.42
C. 8.22
D. 12.55
fine ,it is a A ok,I am sorry for using rude words on you
The subjects of an experiment should be selected at random so that they
represent the population from which they come.
O
A. True
O
B. False
Answer: True
Step-by-step explanation:
The subjects of an experiment should be selected at random so that they
represent the population is true.
Once the sample size has been decided, a sample should be taken from the sample size which will represent the population. This gives everyone an equal chance of being selected as there's no bias.
solve y/2 + 22 =38 for y
Answer:
y = 32
Step-by-step explanation:
[tex]\frac{y}{2}+22=38\\\frac{y}{2}=16\\y=32[/tex]
Answer:
y=32
Step-by-step explanation:
y/2 + 22 =38
Subtract 22 from each side
y/2 + 22-22 =38-22
y/2 = 16
Multiply each side by 2
y/2 *2 =16*2
y = 32
This is a rhombus. Solve for x, Then label each angle with its correct measures:
Answer:
Step-by-step explanation:
In the given rhombus, the value of x is 18.
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
We know that;
Diagonal bisect the angles of a rhombus.
Hence, We can formulate;
⇒ (2x + 16)° = (3x - 2)°
Solve for x as;
⇒ 2x + 16 = 3x - 2
Subtract 2x both side,
⇒ 2x + 16 - 2x = 3x - 2 - 2x
⇒ 16 = x - 2
Add 2 both side,
⇒ 16 + 2 = x - 2 + 2
⇒ 18 = x
⇒ x = 18
Thus, The value of x in rhombus = 18
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ered
Christine(C) and two of her friends. Bianca B) and Travis(7), won first place for a marketing case competition. They received an amount of $3,600, however,
they decided to share the prize in the ratio of the amount of time each of them spent on the marketing case. If Christine spent 4 hours, Bianca spent 6 hours.
and Travis spent 8 hours, what would be each person's share of the prize?
f2.00
jon
aC:600.B:1400,T:1300
b. C:600.B:1200.T: 1600
c
C:800.B:1200.T:1600
Answer: C:800.B:1200.T:1600
Step-by-step explanation: If the ratio is proportional to the time spent on the marketing competition, then we can add the hours up: 4+6+8=18. Total amount divded by total hours -> 3600/18=200. So each hour worked is 200 dollars. Christine worked 4 hours, 4*200=800, Bianca worked 6 hours, 6*200=1,200, and Travis worked 8 hours, 8*200=1,600.
Pythagorean theorem
Answer:
b=20 yards
Step-by-step explanation:
15^2+x^2=25^2
225+x^2=625
x^2=400
x=20
Answer:
x=20
Step-by-step explanation:
Given that the triangles shown below are simiar, what is the value of x?
O A. 7.1
O B. 5
O C. 14
O D. 10
Answer:
C) 14
Step-by-step explanation:
Both triangles are the same as far as angles, DEF is however half of ABC. Therefore x is half of 28
12 POINTS: The rule is Add -5. The input is 10. What is the output?
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HELP HELPP PLS QUICK
Whats the answer please help
Answer: d
Step-by-step explanation:
how many 1/4 doses can be drawn from a 7 and 1/2 vial of medication
Answer:
30
Step-by-step explanation:
7 1/2 is 15/2 as an improper fraction
15/2 ÷ 1/4 = 15/2 · 4 which is 30
Answer:
30 doses
Step-by-step explanation:
convert 7 1/2 into an improper fraction: 15/2
multiply it by 2/2 to have a common denominator: 30/4
Parameterize the curve of intersection of the surfaces so that the direction is clockwise when viewed from above. Include a sketch of each surface and the curve. x + z = 1 and 2 = 4 - x2 - y2
Answer:
Answer is attached in images
Step-by-step explanation:
Given:
x+z=1 and
[tex]z=4-x^{2} -y^{2}[/tex]
Now,
[tex]1-x=4-x^{2} 2-y^{2} 2\\x^{2} -x+y^{2} \\x^{2} -x+1/4+y^{2} =3\\(x-1/2)^{2} +y^{2} =3+1/4\\(x-1/2)^{2} +y^{2} =(\sqrt(13)/2)^{2}[/tex]
Which is circle with center (1/2,0) radius
[tex]\sqrt{13/2}[/tex] take, [tex]x=1/2+\sqrt{3} /2 cos\alpha \\y=\sqrt{13}/2 sin\alpha 0\leq \alpha \leq 2\pi[/tex]
Now,
please help and thank you
Answer:
D) 3
Step-by-step explanation:
It is halfway the length of Y and W. 6-3= 3
Note:
Pls notify me if my answer is incorrect for the other users that will see this response. Thank you.
-kiniwih426
someone help me on this ixl
Answer:
Total cost = $6.61
Step-by-step explanation:
Given the following data;
Cost of breaded chicken = $5.68/lb
Quantity of breaded chicken = ¼
Baked chicken = $6.92/lb
Quantity of baked chicken = ¾
To find the total cost;
First of all, we would determine the cost of breaded chicken and baked chicken.
Cost of breaded chicken = ¼ * 5.68
Cost of breaded chicken = $1.42
Cost of baked chicken = ¾ * 6.92
Cost of baked chicken = 20.76/4
Cost of baked chicken = $5.19
Total cost = Cost of breaded chicken + Cost of baked chicken
Total cost = 1.42 + 5.19
Total cost = $6.61
What should be capitalize in a passage
Write a number that is greater than 100 and less than 1000.
Divide that number by 10 or 100.
The quotient should be a number that is less than 100 but greater than 1.
Answer:
150
Step-by-step explanation:
150 is greater than 100 and less than 1000.
150 can divide by 10.
The quotient of 150 is less than 100 but greater than 1.
What is the total cost of a bag chips that cost $0.99 with 7% sales tax?
A sample of 340 students in a high school were asked how many times they go to their locker each day. 137 of those surveyed said that they go to their locker at least 3 times each day. Calculate the sample proportion of students who go to their locker at least 3 times each day. Either give the exact fraction or decimal, or round to three decimal places.
Answer:
The sample proportion of students who go to their locker at least 3 times each day is 0.403.
Step-by-step explanation:
Sample proportion of students who go to their locker at least 3 times each day.
The sample proportion of students who go to their locker at least 3 times each day is the number of students who do this divided by the size of the sample.
In this question:
137 go to their locker at least 3 times each day, sample of 340 students. So
137/340 = 0.403
The sample proportion of students who go to their locker at least 3 times each day is 0.403.
Find the slope of the line that passes through these two points. (0, -2): (5. 3)
Answer:
[tex]\displaystyle m = 1[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Coordinates (x, y)Slope Formula: [tex]\displaystyle m = \frac{y_2-y_1}{x_2-x_1}[/tex]Step-by-step explanation:
Step 1: Define
Identify
Point (0, -2)
Point (5, 3)
Step 2: Find slope m
Simply plug in the 2 coordinates into the slope formula to find slope m
Substitute in points [Slope Formula]: [tex]\displaystyle m = \frac{3--2}{5-0}[/tex][Fraction] Subtract: [tex]\displaystyle m = \frac{5}{5}[/tex][Fraction] Divide: [tex]\displaystyle m = 1[/tex]four numbers 1-6 you roll a six-sided die whose sides are numbered from 1 through 6. Find the probability of rolling the following. NO LINKS!!!!
Answer:
#1
Since half of the numbers are even, 2, 4, 6
P(even) = 3/6 = 1/2#2
Multiple of 3 are 3 and 6:
P(multiple of 3) = 2/6 = 1/3#3
The numbers ≤ 4 are: 1, 2, 3, 4
P(≤4) = 4/6 = 2/3#4
Prime numbers are 2, 3, 5
P(prime) = 3/6 = 1/2#5
Numbers > 1 are 2, 3, 4, 5, 6
P(>1) = 5/6#6
A four, there is one option
P(4) = 1/6Arlene went to the grocery store to buy cold cuts for making sandwiches for lunch. She wants to buy 2.5 lbs. Of ham that cost 7.92 per pound. How much will she spend in total?
Answer:
$19.80
Step-by-step explanation:
If 1 pound of ham costs 7.92, multiply that by 2.5 (the amount she wants to buy) and get the total cost 19.8
Help PLSSSSS I will give you Brainlyist
I suck at math it should be easy
Answer:
11
Step-by-step explanation:
44 / 11 = 4
33 / 11 = 3
7 strips
Answer:
11
Step-by-step explanation:
bro don't call urself that....
Someone pls help…. We need to find m angle f
Answer:
m<F = 95°
Step-by-step explanation:
We'll begin by calculating the value of x. This can be obtained as follow:
m<C = 50
m<A = (10x – 5)
m<B = m<G = (2x + 15)
m<C + m<A + m<B = 180 (Sum of angles in a triangle)
50 + (10x – 5) + (2x + 15) = 180
50 + 10x – 5 + 2x + 15 = 180
50 – 5 + 15 + 10x + 2x = 180
60 + 12x = 180
Collect like terms
12x = 180 – 60
12x = 120
Divide both side by 12
x = 120 / 12
x = 10
Finally, we shall determine the value of m<F. This can be obtained as follow:
m<F = m<A
But
m<A = 10x – 5
x = 10
Therefore,
m<F = 10x – 5
m<F = 10(10) – 5
m<F = 100 – 5
m<F = 95°
What is the density of this object? (A sphere)
Choose 3 values that would make this inequality true. n - 3 ≤ 10
14
15
5
10
22
13
30
Answer:
5 13 and 10
blue cheese