Answer:
$0.72 per pound
Step-by-step explanation:
1 ton = 2000
5 tons = 10000
10000 lb = $7200
7200/10000 = 0.72
0.72 dollars a pound
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
. It is known that the glucose level in blood of diabetic persons follows a normal distribution model with mean 106 mg/100 ml and standard deviation 8 mg/100 ml. a. Calculate the probability of a random diabetic person having a glucose level less than 120 mg/100 ml. b. What percentage of persons have a glucose level between 90 and 120 mg/100 ml?
Answer:
a. 0.9599 = 95.99% probability of a random diabetic person having a glucose level less than 120 mg/100 ml.
b. 0.9371 = 93.71% of people have a glucose level between 90 and 120 mg/100 ml.
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 106 mg/100 ml and standard deviation 8 mg/100 ml
This means that [tex]\mu = 106, \sigma = 8[/tex]
a. Calculate the probability of a random diabetic person having a glucose level less than 120 mg/100 ml.
This is the p-value of Z when X = 120. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{120 - 106}{8}[/tex]
[tex]Z = 1.75[/tex]
[tex]Z = 1.75[/tex] has a p-value of 0.9599
0.9599 = 95.99% probability of a random diabetic person having a glucose level less than 120 mg/100 ml.
b. What percentage of persons have a glucose level between 90 and 120 mg/100 ml?
The proportion is the p-value of Z when X = 120 subtracted by the p-value of Z when X = 90. So
X = 120
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{120 - 106}{8}[/tex]
[tex]Z = 1.75[/tex]
[tex]Z = 1.75[/tex] has a p-value of 0.9599
X = 90
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{120 - 106}{8}[/tex]
[tex]Z = -2[/tex]
[tex]Z = -2[/tex] has a p-value of 0.0228
0.9599 - 0.0228 = 0.9371
0.9371 = 93.71% of people have a glucose level between 90 and 120 mg/100 ml.
Which of the following polygons can form a regular tessellation?
A. Regular heptagon
B. Regular pentagon
C. Regular octagon
D. Square
Answer:
D. Square
Step-by-step explanation:
A square is a regular tessellation because a regular tessellation is a pattern made up of only one single shape placed in some kind of pattern.
Can someone help me with this math homework please!
Answer:
-7x and -2x
Step-by-step explanation:
because -7x and -2x are on the same side of the equation. the equal sign in the equation, -7x+12-2x = 23+13x is basically a different way of writing -7x+12-2x and 23+13x.
they're kind of like 2 separate equations. hope this helped! :)
Pedro preparou 4kg de salada de frutas, que serviu igualmente entre 16 convidados. Quantos kg de salada de frutas cada convidado recebeu?
Answer: The amount of salat received by each guest is 0.25 kg
Step-by-step explanation:
We are given:
Mass of the fruit salad prepared = 4 kg
Total number of guests = 16
As the salad was divided equally amongst the guest, so when we divide the mass by the number of guests, we will get the amount of salad received by each guest.
Amount received by each guest = [tex]\frac{4kg}{6}=0.25kg[/tex]
Hence, the amount of salat received by each guest is 0.25 kg
Determine the area of the triangle.
96.0 square units
16.9 square units
192.0 square units
97.5 square units
Answer:
A. 96.0 square units
Step-by-step explanation:
The formula for the area of a triangle when we know the side length of two sides and the measure of an included angle of a triangle is given as:
A = ½*a*b*Sin C
Where,
a = 13
b = 15
C = 80°
Plug in the values into the formula
A = ½*13*15*Sin 80
A = 96.0187559
A = 96.0 square units (nearest tenth)
Answer:A
Step-by-step explanation: I took the test
Find the derivative of the function. f(x) = 2x + 6
a. 6
b. 2
c. -2
d. 1/2
PLEASE ANSWER WITH THESE ANSWERS
Hi there!
[tex]\large\boxed{\text{ B. 2}}[/tex]
f(x) = 2x + 6
Differentiating 2x = 2 (Power rule, dy/dx xⁿ = nxⁿ⁻¹)
Differentiating a constant always equals 0.
Thus:
f'(x) = 2
álgebra 1 solve
0.1 + 0.008 = 0.06 − 0.172
Answer:
x = -4.5
Step-by-step explanation:
Given:
0.1x + 0.008 = 0.06x − 0.172
Collect like terms
0.1x - 0.06x = -0.172 - 0.008
0.04x = - 0.18
x = -0.18/0.04
x = -4.5
Check:
0.1x + 0.008 = 0.06x − 0.172
0.1(-4.5) + 0.008 = 0.06(-4.5) - 0.172
- 0.45 + 0.008 = -0.27 - 0.172
-0.442 = -0.442
PLZ I NEED ANSWER ILL GIVE BRAINLIEST
Answer:
2
Step-by-step explanation:
For any three rational numbers a, b, & c, we have a + (b+c) = (a+b)+c , this property is called
Answer: Associative Property of Addition
This property says that we can group terms in any order we want, and the results of the addition would be the same.
For example, 2+(3+4) = 2+(7) = 2+7 = 9 and (2+3)+4 = (5)+4 = 5+4 = 9. Therefore, 2+(3+4) = (2+3)+4 is a true equation since both sides evaluate to 9.
This property works not only for rational numbers, but for any real numbers.
A wooden board 27 ft long is cut into two pieces so that the longer piece is 8
times as long as the shorter piece. Find the lengths of the two pieces.
Answer:
3ft and 24 ft.
Step-by-step explanation:
Let the length of the shorter piece be xThe longer piece is 8 times as long as shorter piece
therefore,
Length of longer piece = 8xTotal length of the wooden board = 27 ft.
27 = longer length + shorter length
27 = x + 8x
27 = 9x
dividing both sided by 9
3 = x
since x was the length of the shorter piece
shorter piece is 3 ft. long
and the longer piece was equal to 8x
longer piece is 24 ft. long
simplify (-81)÷9 pls ans
Answer:
[tex] \frac{ - 81}{9} [/tex]
[tex] - 9[/tex]
On evaluating the expression 10(x - 20y) + 100x, the answer will be
Answer:
110x -200y
Step-by-step explanation:
10(x - 20y) + 100x
Distribute
10x-200y +100x
Combine like terms
110x -200y
Answer:
110x−200y
Step-by-Step Explanation:
Given:
10(x−20y)+100x
First Step: Distribute
(10)(x)+(10)(−20y)+100x
10x+−200y+100x
Second Step: Combine Like Terms:
10x+−200y+100x
(10x+100x)+(−200y)
110x+−200y
Answer:
=110x−200y
HELP ME PLEASEEEEEE. !!!
Answer:
107,100
Step-by-step explanation:
[tex]h(t) = 9 {t}^{2} + 900t \\ \\ plug \: t = 70 \\ \\ h(70) = 9 {(70)}^{2} + 900(70) \\ = 9 \times 4900 + 63000 \\ = 44100 + 63000 \\ = 107,100 \: cm[/tex]
The height of one right circular cylinder is 7 centimeters and its radius is 2 centimeters. The height of the second right circular cylinder is 28 centimeters and its radius is also 2 centimeters. What is the ratio of the volume of the larger cylinder to the volume of the smaller cylinder? A. 4:1 B. 5:1 C. 10:1 D. 25:1
=============================================
Explanation:
The volume of a cylinder formula is
V = pi*r^2*h
where r is the radius and h is the height.
---------------
For the first cylinder, we have r = 2 and h = 7. This leads us to...
V = pi*r^2*h
V = pi*2^2*7
V = pi*4*7
V = pi*28
V = 28pi
This is the exact volume in terms of pi.
---------------
Repeat those steps for the other cylinder (r = 2 and h = 28)
V = pi*r^2*h
V = pi*2^2*28
V = pi*4*28
V = 112pi
---------------
To recap so far, we have these two cylinder volumes:
Cylinder A = 28piCylinder B = 112piWe see that cylinder B has the larger volume (since 112 > 28).
The ratio of the volumes from larger to smaller is 112pi : 28pi
Divide both parts by pi to have those terms cancel and we get the ratio 112:28
Lastly, we divide each part by the GCF 28
112/28 = 4
28/28 = 1
Therefore, the ratio 112:28 fully reduces to 4:1 which makes the final answer choice A.
The larger volume is 4 times that of the smaller volume.
----------------
A fairly quick way to see why we get this ratio is to notice the smaller height h = 7 jumps to the larger height h = 28 by a factor of 4.
In other words,
larger height = 4*(smaller height)
28 = 4*7
The fact that the radius is kept the same at r = 2 won't have an effect on the volume ratio. These parts effectively cancel out.
So this jump of "times 4" directly connects to the ratio 4:1
We multiplied the height by 4, so the volume is also multiplied by 4 (when going from the smaller cylinder to the larger one).
What is the equation for the radius of a circle
Answer:
Um
Step-by-step explanation:
Its half of diameter
Are you thinking of circumference and area?
Division method of 298116 using short Division method
Answer:
I think you are being asked to evaluate the square root of 298116 by division method. Here is how its done:
546
51298116
125
104 81 10416
10861 0 0 6516 1006516
Please feel free to ask if something is not clear.
Here are the steps you will need to follow:
Step 1:
We find the largest square smaller than 29, that's 25. Subtract the 25 from the 29, which leaves 4, and enter a 5 as the first digit of your quotient.
Step 2:
104
11t - 6t = 45 solve the equation and enter the value of t below
Answer:
[tex]t = 9[/tex]
Step-by-step explanation:
[tex]11t - 6t = 45[/tex]
[tex]5t = 45[/tex]
[tex]t = \frac{45}{5} [/tex][tex]t = 9[/tex]
Hope it is helpful....Hey there!
[tex]\large\textsf{11t - 6t = 45}[/tex]
[tex]\huge\textsf{COMBINE the LIKE TERMS}[/tex]
[tex]\large\textsf{(11t - 6t) = \bf 5t}[/tex]
[tex]\large\textsf{NEW EQUATION: 5t = 45}[/tex]
[tex]\huge\textsf{DIVIDE 5 to BOTH SIDES}[/tex]
[tex]\mathsf{\dfrac{5t}{5}=\dfrac{45}{5}}[/tex]
[tex]\large\textsf{CANCEL out: }\mathsf{\dfrac{5}{5}}\large\textsf{ because that gives you 1}[/tex]
[tex]\large\textsf{KEEP: }\mathsf{\dfrac{45}{5}}\large\textsf{ because that helps solve for the t-value}[/tex]
[tex]\mathsf{\bold{t} = \dfrac{45}{5}}[/tex]
[tex]\huge\textsf{SIMPLIFY \& YOU HAVE YOUR ANSWER}[/tex]
[tex]\mathsf{\dfrac{45}{5}=\bf 9}[/tex]
[tex]\boxed{\boxed{\huge\textsf{Answer: t = \bf 9}}}\huge\checkmark[/tex]
[tex]\large\textsf{Good luck on your assignment and enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
Lines L and M are parallel.
Help I’ll make u brainliest if it’s right!!
Answer:
∠3 = 142°
Step-by-step explanation:
L // M
∠2 = 38° {Corresponding angles are congruent}
∠2 + ∠3 = 180 {Linear pair}
38 + ∠3 = 180
∠3 = 180 - 38
∠3 = 142°
the answer is 142 degrees, get 180 degrees from a straight lines and subtract the acute angle from 180 to get the answer, 180-38
The graph shows a proportional relationship. Which equation matches the
graph?
10
14
12
10
8
6
4
2
10
2
14
4
8
10 12
O A. y = x
O B. y = 2
O C. y = 50
O D. 9=152
Answer:
C.
Step-by-step explanation:
i guess it's letter c. y=50
I NEED HELP!!! Can someone please help me
Answer:
x = 4[tex]\sqrt{2}[/tex]
Step-by-step explanation:
Here you have to use the Pythagorean Theorem.
Pythagorean Theorem: a^2 + b^2 = c^2
STEP 1: Define your variables
a and b are the legs of the triangle, and c is the hypotenuse
a = 7
b = x
c = 9
STEP 2: Plug the variable into the equation
7^2 + x^2 = 9^2
STEP 3: Solve
7^2 + x^2 = 9^2
49 + x^2 = 81
49 - 49 + x^2 = 81 - 49
[tex]\sqrt{x}[/tex]^2 = [tex]\sqrt{32}[/tex]
x = [tex]\sqrt{32}[/tex]
STEP 4: Simplify
Since the questions asks you to put it in simplified radical form, you do not have to approximate the answer, but you do have to simplify the radical.
x = [tex]\sqrt{32}[/tex]
x = [tex]\sqrt{16}[/tex] * [tex]\sqrt{2}[/tex]
x = 4[tex]\sqrt{2}[/tex]
Hope this helps
Classify the following triangle. Check all that apply.
113
Jason
A. Isosceles
B. Scalene
O C. Acute
D. Right
E. Equilateral
OF. Obtuse
Answer:
A
Step-by-step explanation:
Because 113 %45*45 that gives you isosceles
Answer:isosceles and right.
Step-by-step explanation:
The equation of line a is y=3/4x-3 If line b runs parallel to line a and passes
through (-4,5), what would be the equation of line b?
Answer:
y = -4/3 x - 1/3
Step-by-step explanation:
y = -4/3 x + b
5 = -4/3 (-4) + b
15 = 16 + 3b
b = -1/3
y = -4/3 x - 1/3
The equation of line b, parallel to line a and passing through the point (-4,5), is y = (3/4)x + 8.
To find the equation of line b, which is parallel to line a and passes through the point (-4,5), we need to use the fact that parallel lines have the same slope.
Given that line a has the equation y = (3/4)x - 3, we can determine its slope. The slope of line a is the coefficient of x, which is 3/4.
Since line b is parallel to line a, it will also have a slope of 3/4.
Using the slope-intercept form of a linear equation (y = mx + b), we can substitute the slope and the coordinates (-4,5) into the equation to solve for the y-intercept, b.
5 = (3/4)(-4) + b
Simplifying, we have:
5 = -3 + b
Adding 3 to both sides, we find:
b = 8
Therefore, the equation of line b, parallel to line a and passing through the point (-4,5), is y = (3/4)x + 8.
To learn more about equation of line click on,
https://brainly.com/question/502902
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The sum of a number and nine is fifteen
Write an equation to represent the sentence
Answer:
x+9=15
Step-by-step explanation:
a number plus 9 is fifteen
let x represent the unknown number
x+9=15
:) ur welcome
hope this helped
Could somebody explain this to me please
Answer:
it will be 50°
Step-by-step explanation:
I'll give you some of the other answers to see if you get it:
m <1 : 180-50 =130
m <5: 180
m <4: 180
m<7: 50
Step-by-step explanation:
I'm not good at geometry but I was trying to explain that you need to follow all your rules at geometry so that you canget your answer right
hello what I can say to you is that you need to follow the rules whereby they say the corresponding angles to the exterior angles then make sure that you follow all the rules that straight line add up into 180 degrees say for example a is equal to b
Kylie explained that (negative 4 x + 9) squared will result in a difference of squares because (negative 4 x + 9) squared = (negative 4 x) squared + (9) squared = 16 x squared + 81. Which statement best describes Kylie’s explanation?
Kylie is correct.
Kylie correctly understood that it is a difference of squares, but she did not determine the product correctly.
Kylie did not understand that this is a perfect square trinomial, and she did not determine the product correctly.
Kylie determined the product correctly, but she did not understand that this is a perfect square trinomial.
Given:
The given expression is:
[tex](-4x+9)^2[/tex]
According to Kylie,
[tex](-4x+9)^2=(-4x)^2+(9)^2[/tex]
[tex](-4x+9)^2=16x^2+81[/tex]
To find:
The correct statement for Kylie's explanation.
Solution:
We have,
[tex](-4x+9)^2[/tex]
According to the perfect square trinomial [tex](a+b)^2=a^2+2ab+b^2[/tex].
[tex](-4x+9)^2=(-4x)^2+2(-4x)(9)+(9)^2[/tex]
[tex](-4x+9)^2=16x^2-72x+81[/tex]
Kylie did not understand that this is a perfect square trinomial, and she did not determine the product correctly.
Therefore, the correct option is C.
Answer:C, Kylie did not understand that this is a perfect square trinomial, and she did not determine the product correctly.
Step-by-step explanation:
In basketball, hang time is the time that both of your feet are off the ground during a jump. The equation for hang time is [tex]t = 2(\frac{2h}{32} )\frac{1}2[/tex] , where t is the time in seconds, and h is the height of the jump, in feet.
Player 1 had a hang time of 0.9 s. Player 2 had a hang time of 0.8 s. To the nearest inch, how much higher did Player 1 jump than Player 2?
Answer:
8 inches
Step-by-step explanation:
Given:
t = 2 ( 2h/32 ) ^1/2 ( or: t = 2 * sqrt ( 2h/32) ).
Step 1: First Player
0.9 = 2 * sqrt( 2h/32 ) / ^2 ( we will square both sides of equation )
0.81 = 4* 2h/32
0.81 = h/4
h 1 = 0.81 * 4 = 3.24 ft
Step 2: Second Player
0.8 = 2 * sqrt( 2h/32 ) /^2
0.64 = 4 * 2 h/32
h 2 = 0.64 * 4 = 2.56 ft
Step 3: Simplify
h 2 - h 1 = 3.24 - 2.56 = 0.68 ft
and since 12 in = 1 ft:
0.68 * 12 = 8.16 in ≈ 8 in.
What is value of x?
Enter your answer in the box.
true or false? A circle could be circumscribed about the quadrilateral below.
Answer: the answer is true
Answer:
false
Step-by-step explanation:
here the opposite angle of quadrilateral aren't supplematary the circle have no chance to be circumscribed
A school received 12 boxes of notebooks. Each box had 36 notebooks. How many total notebooks did the school receive?
Answer:
12x36
Step-by-step explanation:
Answer:
36*12 = 432
Step-by-step explanation:
f(x) = 3x + 2
What is (5)?
O A. 21
B. 17
C. 15
O D. 10