Answer: -310
Step-by-step explanation:
-1240÷4
Watch your cholesterol: The mean serum cholesterol level for U.S. adults was 198, with a standard deviation of 39 (the units
are milligrams per deciliter). A simple random sample of 106 adults is chosen. Use Cumulative Normal Distribution Table if
needed. Round the answers to at least four decimal places.
Part: 0/3
Part 1 of 3
(a) What is the probability that the sample mean cholesterol level is greater than 204?
The probability that the sample mean cholesterol level is greater than 204 is
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For the mean serum cholesterol level for U.S. adults was 198, with a standard deviation of 39, the probability is mathematically given as
x=0.1379
What is the probability that the sample mean cholesterol level is greater than 204?Generally, the equation for the probability is mathematically given as
P(\=x>210)
Therefore
P=(z>\frac{204-198}{39/\sqrt{106}})
P=(z>1.583)
In conclusion, from cumulative table
x=1-p(z>1.583)
x=1-0.8621
x=0.1379
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Work out the angle below
Answer:
56
Step-by-step explanation:
two of the angles are the same meaning the bottom two are 62. angles in a triangle add up to 180° so you just do 62 + 62 and then take the answer away from 180
62+62=124
180-124=56
Based only on the information given in the diagram, it is guaranteed that
ARST - AUVW
5
067
R
Л
w
A. True
B. False
Answer: True
Step-by-step explanation:
There are two pairs of congruent angles, meaning the triangles are similar by AA.
It is true that based on the given information triangle RST is similar to triangle UVW by the AA similarity postulate.
What are Similar triangles?Similar triangles are triangles that have the same shape but are different in size. More specifically, two triangles are similar if their corresponding angles are congruent and their corresponding sides are in proportion.
Here,
Since a figure is given with two triangles, RST and UVW.
From the figure, we can see that there are two angles that are equal, are given as;
∠R=∠U [measure is 67°]
∠T=∠W [measure is 90°]
Thus, it is true that based on the given information triangle RST is similar to triangle UVW by AA similarity postulate.
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2(square-root of 80/5-5)
Step-by-step explanation:
√
4
2
⋅
5
5
Pull terms out from under the radical.
4
√
5
5
The result can be shown in multiple forms.
Exact Form:
4
√
5
5
Decimal Form:
1.78885438
Answer: -2
Step-by-step explanation: if you take the square root of 80/5, you get 4. Then, you take 4-5, which is -1.
2 x -1= -2
Hope it helps!
the midsegment of the trapezoid is RT. set up and equation and solve for x
Step-by-step explanation:
since it is the midsegment, all involved and related line segments follow the 1/2 factor.
so, the length of the midsegment is precisely in the middle between the lengths of the top and bottom lines.
in the first drawing
22 = x + (x - 10)
22 = x + x - 10
32 = x + x = 2x
x = 16
in the second drawing
x = 15 + (15 - 8) = 15 + 7 = 22
Ilya builds a slide that is 2.9 meters long. It is 1.5 meters above the ground. He wants to determine the distance from the bottom of the slide to the base of the ladder leading up to the slide. Which diagram represents this situation?
A triangle with side length 1.5 meters and hypotenuse 2.9 meters.
A triangle with side length 2.9 meters and hypotenuse 1.5 meters.
A triangle with side length 2.9 meters and hypotenuse 2.9 meters.
A triangle with side length 1.5 meters and hypotenuse 2.9 meters.
Answer:
Option A is correct. (light blue color in the triangle choices)
Step-by-step explanation:
Or with the same dimensions as my screenshot
Answer:
25.2
Step-by-step explanation:
can anyone help me find x, please?
Answer:
86°
Step-by-step explanation:
Two sides of the triangle are equal
=> ∠A = ∠C
And since ∠A = 47°
=> ∠C = 47° & ∠B = x°
Now, according to Angle sum property of a triangle
=> ∠A + ∠B + ∠C = 180°
=> 47° + x + 47° = 180°
=> 94° + x = 180°
=> x = 180 - 94 = 86°
Therefore x = 86°
Question 5 on math!
Please help me 15 points
Answer:
i cant see the grid
Step-by-step explanation:
show the grid please
What is the value of x?
The figure shows 2 right triangles, triangle R S T with right angle S and triangle Q R T with right angle R. The measure of angle R T S is 60 degrees. The measure of angle Q T R is 45 degrees. The length of side R S is 2 square root 3. The length of side Q R is x.
Answer: 4
Step-by-step explanation:
The length of QR(x) from the given figure is 4 units.
What are trigonometric ratios?The sides and angles of a right-angled triangle are dealt with in Trigonometry. The ratios of acute angles are called trigonometric ratios of angles. The six trigonometric ratios are sine (sin), cosine (cos), tangent (tan), cotangent (cot), cosecant (cosec), and secant (sec).
From the given figure, QR=x, RS=2√3 units and ∠STR=60°.
We know that, sinθ= Opposite/Hypotenuse
sin60°=2√3/RT
√3/2=2√3/RT
RT=4 units
As we know, tanθ= Opposite/Adjacent
tan45°= x/4
1= x/4
x=4 units
Therefore, the length of QR(x) from the given figure is 4 units.
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The seasonal demand for a particular product is given below: Period 1 2 3 4 5 6 Demand 300 450 100 450 450 100 The fixed parameters are: Fixed Cost $8 Unit Production Cost $1 Holding Cost $ 1.3 Calculate total ordering cost using following three methods: i) Lot-for-Lot ii) Wagner-Whitin algorithm iii) Fixed order quantity
The ordering cost using the Lot-for-Lot method is 900.06.
How to calculate the cost?The ordering cost using the Lot-for-Lot method will be calculated thus:
C = Q/2(H) + D)Q(S)
C = 450/2(4) + 100/450(3)
C = 450(2) + 30/45
C = 900 + 0.7
C = 900.7
The ordering cost using Wagner-Whitin algorithm will be:
= 300 + 900 + 300 + 1700 + 2150 + 600
= 5750
The ordering cost using fixed order quantity will be:
= 6/(300 + 450 + 100 + 450 + 450 + 100)
= 6/1850
= 0.00324
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What is the longest chord of a circle? All chords are the same length. The radius is the longest. There is no way to tell. The diameter is the longest.
Answer:
A diameter is the longest chord of a circle.
Lana is designing a triangular pyramid made of all glass to go on top of a building. All of the faces of the pyramid have a height of 17 feet and a base of 20 feet.
How much glass is needed?
A.
680 sq ft
B.
340 sq ft
C.
2,040 sq ft
D.
1,360 sq ft
Answer:
Area of a triangle is 1/2 x base x height.
area of triangle = 1/2 x 20 x 17 = 170 square feet.
the image shows 4 triangles, total area = 170 x 4 = 680 square feet.
the answer is A. 680 sq. ft.
Hope this helps you!!
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If the probability of a family owning a cat is 0.10, the probability of owning a dog is 0.20, and the probability of owning a cat and a dog is 0.08, what is the probability of a family owning a cat or a dog?
Probability helps us to know the chances of an event occurring. The probability of a family owning a cat or a dog is 0.22.
What is Probability?Probability helps us to know the chances of an event occurring.
[tex]\rm Probability=\dfrac{Desired\ Outcomes}{Total\ Number\ of\ outcomes\ possible}[/tex]
As it is given that the probability of a family owning a cat is 0.10, the probability of owning a dog is 0.20, and the probability of owning a cat and a dog is 0.08. Therefore, the probability of a family owning a cat or a dog can be written as,
Probability (family owning a cat or a dog)
= Probability (Cat) + Probability (Dog) - Probability (Cat And Dog)
[tex]\text{Probability (family owning a cat or a dog)} = 0.10+0.20-0.08 = 0.22[/tex]
Hence, the probability of a family owning a cat or a dog is 0.22.
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can anyone tell me what (4 times a number is at least -12) i need help.
Answer:
-3
Step-by-step explanation:
4 times a number is at least -12
Substitute the missing number for x.
4x = -12
4x/4 = -12/4
x = -3
4 times -3 is at least -12.
hope this helps and is right!! p.s. i really need brainliest :)
Answer:
[tex]4x\geq -12\implies x\geq-3[/tex]
Step-by-step explanation:
Consider the line y=x+9.
What is the slope of a line parallel to this line?
What is the slope of a line perpendicular to this line?
Answer:
parallel: 1, perpendicular: -1
Step-by-step explanation:
slope of a parallel line is the same
slope of a perpendicular line is a negative recipricol
slope of y=x+9 is 1
parallel: 1
perpendicular: -1
Given the vector field F= ∆(x3 + y3 + z3 + 3xyz), find div F and curl F.
Since F is apparently a vector field, I assume you mean
[tex]\vec F = \nabla(x^3+y^3+z^3+3xyz)[/tex]
with ∇ = gradient, whereas ∆ is often used to denote the Laplacian, ∆ = ∂²/∂x² + ∂²/∂y² + ∂²/∂z².
Let [tex]f(x,y,z)=x^3+y^3+z^3+3xyz[/tex]. Compute the gradient of f :
[tex]\vec F = \nabla f(x,y,z) = \dfrac{\partial f}{\partial x} \, \vec\imath + \dfrac{\partial f}{\partial y} \, \vec\jmath + \dfrac{\partial f}{\partial z} \, \vec k[/tex]
[tex]\vec F = (3x^2+3yz) \,\vec\imath + (3y^2 + 3xz) \,\vec\jmath + (3z^2+3xy) \,\vec k[/tex]
Now compute the divergence of F (incidentally, divergence of a gradient field is the Laplacian of the f):
[tex]\mathrm{div} \, \vec F = \dfrac{\partial(3x^2+3yz)}{\partial x} + \dfrac{\partial(3y^2+3xz)}{\partial y} + \dfrac{\partial(3z^2+3xy)}{\partial z}[/tex]
[tex]\boxed{\mathrm{div} \, \vec F = 6x + 6y + 6z}[/tex]
and the curl: (the following is overkill, since any gradient field has curl zero, but it doesn't hurt to verify that)
[tex]\mathrm{curl}\, \vec F = \left(\dfrac{\partial(3z^2+3xy)}{\partial y} - \dfrac{\partial(3y^2+3xz)}{\partial z}\right) \,\vec\imath - \left(\dfrac{\partial(3z^2+3xy)}{\partial x} - \dfrac{\partial(3x^2+3yz)}{\partial z}\right) \, \vec\jmath \\ ~~~~~~~~~~~~ + \left(\dfrac{\partial(3y^2+3xz)}{\partial x} - \dfrac{\partial(3x^2+3yz)}{\partial y}\right) \,\vec k[/tex]
[tex]\boxed{\mathrm{curl} \,\vec F = \vec 0}[/tex]
Mr. Rodriguez is assembling supply kits for his students. He has 24 pencils and 32 erasers. All the kits must have the same number of each item, and all items must be used.
Check your work on Zearn.
1. What is the largest number of kits Mr. Rodriguez can make?
The largest number of kits Mr. Rodriguez can make is
kits.
2. How many pencils and erasers will be in each kit?
pencils and
erasers will be in each kit.
Answer:
1) 8
2) 3pencils 4erasers
Step-by-step explanation:
I will make Brainliest
Answer:
x+2 - and x+6
Step-by-step explanation:
Determine whether [3x + 12 + x] is equivalent to [4(3 + x)]. Use properties of operations to justify your answer.
Step-by-step explanation:
Using BODMAS rule
[3x+12+x] = [4(3+x)]
[4x+12] = [12+4x]
Parentheses 1 = Parentheses 2
LHS = RHS
HENCE PROVED
MARK ME AS BRAINLISTCarolyn lives near two parks. Centennial Park is 2 km away and Canatara Park is 2,548 meters away. Canatara Park is located closer to Carolyn. Is this true or false?
True
False
Answer:
it is False
Step-by-step explanation: i also did this test
At Mr. Donald's farm, there are 35 chickens and 50 cows. What is the ratio of the number of cows to the number of chickens at Mr. Donald's farm?
Answer:
the ratio is 50:35 or 50 to 35 or 50/35
Step-by-step explanation:
Two angles of a triangle measure 37º and 54° respectively. Is this triangle acute, right or
obtuse?
Layla is determining the area of the trapezoid. Her work is shown below.
A trapezoid has a base of 14 feet, height of 10 feet, and top side length of 8 feet.
Step 1: Break the figure into rectangles and triangles.
A trapezoid is broken into a triangle and rectangle. The rectangle has a base of 10 feet and a height of 8 feet. The triangle has a base of 10 feet and a height of 6 feet.
Step 2: Find the area of the rectangle: 8 times 10 = 80.
Step 3: Find the area of the triangle: One-half times 6 times 8 = 24.
Step 4: Add the areas together: 80 + 24 = 104 square feet.
Which best describes Layla’s error?
The height of the triangle in Step 1 should be 4 ft.
The area of the triangle in Step 3 should be One-half times 6 times 10 = 30.
The area of the triangle is Step 3 should be halved because there is only one triangle.
The areas in Step 4 should be multiplied instead of added.
Answer:
the answer is B <3
Step-by-step explanation:
have a good day!
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Answer:
b
Step-by-step explanation:
Convert (87.1352) 10 to base 8
Answer:
It comes out to around 127
Step-by-step explanation:
What is the probability of getting a head with the flip of a coin?What is the probability of getting a head with the flip of a coin?
1/2
hope it helps...!!!
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Given the equation y = -3x + 1/2 , what is the y-intercept?
-3
1/2
-1/2
3
Answer:
1/2
Step-by-step explanation:
C, 1/2
Step-by-step explanation:
Use the equation y = mx + b,
b is the y-intercept
m represents the slope
-3 = slope
1/2 = y-intercept
1/2 is your answer
hope this helps :) and that i got it right this time lol
The volume of a rectangular prism is 200 cubic inches. If the area of the base is 20 square inches, what is the height of the prism?
Step-by-step explanation:
volume of rec. prism = area base × height
200 = 20 × height
height = 10 inch
A line passes through point (4,-2) and has a slope of -5/4 in
Ax+By=C PLEASE
standard form for a linear equation means
• all coefficients must be integers, no fractions
• only the constant on the right-hand-side
• all variables on the left-hand-side, sorted
• "x" must not have a negative coefficient
[tex](\stackrel{x_1}{4}~,~\stackrel{y_1}{-2})\qquad \qquad \stackrel{slope}{m}\implies -\cfrac{5}{4} \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{(-2)}=\stackrel{m}{-\cfrac{5}{4}}(x-\stackrel{x_1}{4})[/tex]
[tex]y+2=-\cfrac{5}{4}x+5\implies \stackrel{\textit{multplying both sides by }\stackrel{LCD}{4}}{4(y+2)=4\left( -\cfrac{5}{4}x+5 \right)}\implies 4y+8=-5x+20 \\\\\\ 5x+4y+8=20\implies 5x+4y=12[/tex]
What is the answer to 8 7/9 + 5 9/11
Answer: 14.596
Step-by-step explanation:
Hope this Answer Helps! if it helped please leave brainliest
If the volume of the pyramid is 12 cubic inches,
what is the height of the pyramid, in inches?
Answer:
6
Step-by-step explanation:
h=3(12/6)