Step-by-step explanation:
In the given question, the study was performed to analyse the effect of eating dark chocolate on the person with hypertension or increased blood pressure.
a) The biasness in the experiment could be that the funding for the study has been provided with a Private Company which mainly aims at selling their product.
b) The research is reasonable as it has been proved that eating a small amount of Dark chocolate can help cardiovascular disease like hypertension or increased blood pressure.
Which of the following is the solution to 3x - 1>=12
Answer:
The solution to [tex]3x\:-\:1\ge 12[/tex] is [tex]x\ge \frac{13}{3}[/tex].
Step-by-step explanation:
An inequality is a mathematical relationship between two expressions and is represented using one of the following symbols: inequalities involving "<", "≠" or ">" are referred to as "strict inequalities", while inequalities involving "≤" or "≥" are not.
Solving an inequality means finding all of its solutions. A solution of an inequality is a number which when substituted for the variable makes the inequality a true statement.
To find the solution to [tex]3x\:-\:1\ge 12[/tex]
[tex]\mathrm{Add\:}1\mathrm{\:to\:both\:sides}\\\\3x-1+1\ge \:12+1\\\\\mathrm{Simplify}\\\\3x\ge \:13\\\\\mathrm{Divide\:both\:sides\:by\:}3\\\\\frac{3x}{3}\ge \frac{13}{3}\\\\\mathrm{Simplify}\\\\x\ge \frac{13}{3}[/tex]
Please answer this question ! thank you so much !! Will give brainliest !!
Answer:
y = -7x + 14
Step-by-step explanation:
m=1/7
m perp = -7
y = mx + b
-7 = -7(3) + b
14 = b
y = -7x + 14
The area of the parallelogram is 56 cm2. True or false
Answer:
True
Step-by-step explanation:
A lighthouse is located on a small island 2 km away from the nearest point P on a straight shoreline and its light makes 9 revolutions per minute. How fast is the beam of light moving along the shoreline when it is 1 km from P ? (Round your answer to one decimal place.)
Answer:
The speed of light moving along the shoreline when it is 1 km from P is 2.1064 km
Step-by-step explanation:
We are given that a point 1 km from point P on the shoreline would form a a right triangle with the lighthouse, point P, and the point 1 km from point P.
The distance from that point to the lighthouse would be the hypotenuse.
That would also be the radius of the circle the beam of light is making at that point.
To find the hypotenuse
[tex]Hypotenuse^2 = Perpendicular^2 +base^2 \\r^2 = 1^2 +2^2\\r=\sqrt{1^2+2^2}\\r=2.236[/tex]
Circumference =[tex]2 \pi r = 2 \times 3.14 \times 2.236=14.05 km[/tex]
The beam of light is making at point 14.05 km away
One revolution: [tex]\frac{60}{9}= 6.67[/tex] sec per revolution
Speed = [tex]\frac{14.05}{6.67}=2.1064[/tex]
Hence The speed of light moving along the shoreline when it is 1 km from P is 2.1064 km
Solve the system using either Gaussian elimination with back-substitution or Gauss-Jordan elimination. (If there is no solution, enter NO SOLUTION. If the system has an infinite number of solutions, set y = t and solve for x in terms of t.) −3x + 5y = −19 3x + 4y = 1 4x − 8y = 28
Answer:
x = 3 and y = -2
Step-by-step explanation:
We have the following system:
-3 5 | 19
3 4 | 1
4 -8 | 28
We divide the first row by -3 and it would be:
1 -1.67 | 6.33
3 4 | 1
4 -8 | 28
Now, we multiply by 3 and subtract the second row and we have:
1 -1.67 | 6.33
0 9 | -18
4 -8 | 28
Now, we multiply by 4 and subtract the third row and we have:
1 -1.67 | 6.33
0 9 | -18
0 -1.33 | 2.67
divide the second row by 9:
1 -1.67 | 6.33
0 1 | -2
0 -1.33 | 2.67
multiply the second row by 1.33 and add it to the third row and it remains:
1 -1.67 | 6.33
0 1 | -2
0 0 | 0
multiply the second row by 1.67 and add it to the first row and we have:
1 0 | 3
0 1 | -2
0 0 | 0
Therefore, from here we can deduce that x = 3 and y = -2
write an equation (a) in slope intercept form and (b) in standard form for the line passing through (-3,6) and parallel x+2y=5
Answer:
y = -1/2x +9/2x +2y = 9Step-by-step explanation:
(b) The given line is in standard form, so the equation you want will be similar, but with a different right-side constant. That constant is found by putting the coordinates of the given point into the left-side expression.
x + 2y = constant
(-3) +2(6) = constant = 9
The standard form equation of the parallel line is x +2y = 9.
__
(a) To put this equation in slope-intercept form, solve for y.
2y = -x +9
y = (-1/2)x +9/2
While traveling to Europe, Phelan exchanged 250 US dollars for euros. He spent 150 euros on his trip. After returning to the
United States he converts his money back to US dollars. How much of the original 250 US dollars does Phelan now have?
Round to the nearest cent.
1 European euro = 1.3687 US dollars
44.70 US dollars
73.06 US dollars
136.87 US dollars
140.41 US dollars
Answer:
44.70 USD
Step-by-step explanation:
250÷1.3687
=182.655074158
182.655074158-150
=32.655074158
32.655074158×1.3687
=44.6950000001
The 44.70 US dollars Phelan now has if Phelan exchanged 250 US dollars for euros option (A) is correct.
What is unit conversion?It is defined as the conversion from one quantity unit to another quantity unit followed by the process of division, and multiplication by a conversion factor.
It is given that:
While traveling to Europe, Phelan exchanged 250 US dollars for euros. He spent 150 euros on his trip.
After returning to the United States he converts his money back to US dollars. H
Let x be the total original 250 US dollars Phelan now have:
The value of x can be found as follows:
x = (250/1.3687 - 150)x1.3687
After simplification:
x = 44.69 ≈ 44.70 US dollars
Thus, the 44.70 US dollars Phelan now has if Phelan exchanged 250 US dollars for euros option (A) is correct.
Learn more about the unit conversion here:
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The volume of a cube is 343 cubic feet. What is the side length of the cube
A. 12 feet
B. 23 feet
C. 7 feet
D. 2 feet
Steps:
Shape: Cube
Solved for side length of the cube
Volume: 343 cubic feet
Formula: a=V⅓
Description:
Using the formula for the volume of the cube a=V⅓. We are going to calculate the side length of the cube. Your answer will be 7 feet. Meaning the correct answer for this question is C.
Answer: a≈7ft
Please mark brainliest
Hope this helps.
The life time of a certain brand of bulbs produced by a company is normally distributed, with mean 210 hours and standard deviation 56 hours.what is the probability that a bulb picked at random from this company product will have a life time of at least 300 hours?
Answer:
5.37% probability that a bulb picked at random from this company product will have a life time of at least 300 hours
Step-by-step explanation:
Problems of normally distributed samples are solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore 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 pvalue, we get the probability that the value of the measure is greater than X.
In this question, we have that:
[tex]\mu = 210, \sigma = 56[/tex]
What is the probability that a bulb picked at random from this company product will have a life time of at least 300 hours?
This is 1 subtracted by the pvalue of Z when X = 300. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{300 - 210}{56}[/tex]
[tex]Z = 1.61[/tex]
[tex]Z = 1.61[/tex] has a pvalue of 0.9463
1 - 0.9463 = 0.0537
5.37% probability that a bulb picked at random from this company product will have a life time of at least 300 hours
A fair coin is tossed, and a marble is chosen from the bag whose contents are shown below. 3 red marbles, 3 blue marbles, and 4 green marbles. What is the probability of the coin landing heads up and a blue (B) marble being randomly selected?
Answer:
3/20
Step-by-step explanation:
Red = 3
Blue = 3
Green = 4
Total = 3+3+4 = 10
Pr (red) = 3/10
Pr blue) = 3/10
Pr (green) = 4/10
Where Pr = probability
You either have a head or a tail when tossing a coin
Probability of having head = 1/2
Probability of having tail = 1/2
The probability of the coin landing heads up and blue marble = Probability of head ×Pr (blue)
= 1/2 × 3/10
the probability of the coin landing heads up and blue marble = 3/20
Answer:
3/20
Step-by-step explanation:
Round 4/7 to the nearest tenth.
Answer:
0.6
Step-by-step explanation:
4/7 can be considered a suspended division problem. To find the answer, 4 must be divided by 7. This yields the result 0.57142, which can be rounded to 0.6.
Find the distance between the points (6,-4) and (-3,-4) .
The right answer is 9 units.
please see the attached picture for full solution
Hope it helps
Good luck on your assignment:)
Factor 4x^2+12x+5 by applying the distributive property
Answer:
(2x + 5)(2x + 1)
Step-by-step explanation:
4x^2 + 12x + 5
=4x^2 + 2x + 10x + 5
=2x(2x + 1) + 5(2x + 1)
=(2x + 5)(2x + 1)
Hope this helps!
¿Qué es y para que nos sirve la jerarquía de operaciones en la vida cotidiana?
for example, si te pones los zapatos antes que los pantalones, te costará mucho vestirte
Solve the triangle for all missing sides, rounded to the nearest tenth, and angles, rounded to the nearest degree.
Answer:
x=32 y=416 M<ABC=158°
Step-by-step explanation:
What’s the correct answer for this?
Answer:
(AE )(EB)=(CE)(ED)
Step-by-step explanation:
The lines (AE )(EB)=(CE)(ED)
Line AE is congruent with line CE and Line EB is congruent with ED
A line is congruent when they assume the same shape and form but only they can be flipped;
AB and CD are both line segments.
Answer:
fourth option
Step-by-step explanation:
Given two intersecting chords, then
The product of the parts of one chord is equal to the product of the parts of the other chord, that is
AE(EB) = CE(ED)
Enter a positive common factor ( other than 1) of 35 and 42
A homeowner finds that there is a 0.15 probability that a flashlight does not work when turned on. If she has three flashlights, find the probability that at least one of them works when there is a power failure. Find the probability that the second flashlight works given that the first flashlight works.
Answer:
A) 0.386
B).0.325
Step-by-step explanation:
probability p will not work = 0.15
Q probability w5ill work = 0.85
Number of flashlight = 3
Probabilty of at least one=
1- probability of none
But probability of none= 3C0(p)^0(q)^3
= 1*(0.15)^0(0.85)^3
= 1*1*(0.614)
= 0.614
Probability of at least one=1-0.614
= 0.386
Probability of two flashlight work
= 3C1(0.15)^1(0.85)^2
= 3*(0.15)*(0.7225)
= 0.325
Please help answer this question !! I will give you brainliest !!!
Answer:
y = 7x + 24
Step-by-step explanation:
m = 7
y = mx + b
3 = 7(-3) + b
24 = b
y = 7x + 24
what is the following product ? (sqrt12+sqrt6) (sqrt6-sqrt10)
Answer:
6√2-2√30+6-2√15
Step-by-step explanation:
(√12+√6)(√6-√10)=
√12*6- √12*10+√6*6-√6*10=
6√2-2√30+6-2√15
tg15°=.... Help me please
Answer:
2-sqrt(3)
Step-by-step explanation:
google said
Which of the following equations are equivalent? Select three options. 2 + x = 5 x + 1 = 4 9 + x = 6 x + (negative 4) = 7 Negative 5 + x = negative 2
The requried equations that are equivalent to each other are,
(A) 2 + x = 5 (B) x + 1 = 4 (E) -5 + x = -2.
The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
Given equations,
(A) 2 + x = 5
Simplifying the above expression,
x = 5 - 2
x = 3
Similarly, simplify all the equations,
(B) x = 3
(C) x = -3
(D) x = 11
(E) x = 3
Therefore, equations that give x = 3, after simplification is equivalent equations.
Thus, the requried equations that are equivalent to each other are,
(A) 2 + x = 5 (B) x + 1 = 4 (E) -5 + x = -2.
Learn more about simplification here:
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Which property of addition is shown? (3 + 9) + 8 = 3 + (9 + 8)
Answer:
Associative Property of Addition
Step-by-step explanation:
Looking at the expression, you can see that the numbers have been grouped differently. Based on the Associative Property of Addition, the sum of the numbers is the same despite the different pairing.
What is the difference in the length between a 1-1/4-inch button and a 3/8-inch button?
Answer:
7/8
Step-by-step explanation:
1 1/4 - 3/8
5/4 - 38
0/8 - 3/8
7/8
A bowl is in the shape of a hemisphere (half a sphere) with a diameter of 15 15 in. How can you find the radius if you know the diameter of the sphere? Find the volume of the bowl. Use 3.14 for pi π.
F(x)=x^2 g(x)=x^2-8 we can think of g as a translated (shifted) version of f
Answer:
Shift f 8 units down.
Step-by-step explanation:
The complete question is
[tex]f(x) =x^2 ,g(x) =x^2-8[/tex]. We can think of g as a translated (shifted) version of f. Complete the description of the transformation. Use nonnegative numbers. To get the function g, shift f by___ units.
We know that g is obtained by shifting f, k units up or down (depending of the value of k, if positive, the shifting is up, or down otherwise). At any point x, we get g(x) by adding k units to the value of f(x). That is
[tex]g(x) = f(x)+k[/tex]
If we replace the meaning of f,g we get
[tex]x^2-8 = x^2[/tex]
by substracting x^2 on both side we get that k = -8. This means that to get g, we must shift f 8 units down
Ann and Tom want to establish a fund for their grandson's college education. What lump sum must they deposit at an 8% annual interest rate, compound annually, in order to have $40,000 in the fund at the end of 10 years?
Answer:
$18,527.74
Step-by-step explanation:
Each year, the fund amount is multiplied by 1+8% = 1.08. After 10 years, it will have been multiplied by that factor 10 times, 1.08^10. For some principal P deposited now, we want ...
P(1.08^10) = $40,000
P = $40,000/1.08^10 ≈ $18,527.74
A map has a scale of 3cm 7km if two cities was 8 cm on the nearest tenth of a kilometer
Answer:
18.7 km
Step-by-step explanation:
3 cm >>> 7 km
1 cm >>> 7/3 km
8 cm >>> 8*7/3 km= 18.7 km
Answer:
18.7
Step-by-step explanation:
Eggs are sorted into two sizes (large and extra large) at the Cheerful Chicken Dairy. Unfortunately, business has not been good lately, and since the Cheerful Chicken’s 40-year-old egg-sorting machine finally gave up the ghost there have been no funds available to replace it. Instead, Old Fred, one of the firm’s sharper-eyed employees, has been equipped with a "Large" rubber stamp in his right hand and an "X-large" stamp in his left and assigned to stamp each egg with the appropriate label as it goes by on the conveyor belt. Down the line, another employee puts the eggs into either of two hoppers, each egg according to its stamp. The system works reasonably well, all things considered, except that Old Fred has a heavy hand and on the average breaks 30% of the 120 eggs that pass by him each minute. At the same time, a check of the "X-large" stream reveals a flow rate of 70 eggs/min, of which 25 eggs/min are broken.
1. Draw and label a flowchart for this process.
2. Write and solve balances about the egg sorter on
total eggs and broken eggs.
3. How many "large" eggs leave the plant each minute, and what fraction of them are broken?
4. Is Old Fred right- or left-handed?
Answer:
1) Flowchat Attached
2) See the Explanation
3) Large eggs leaving plant per minute = [tex]E_L=50(eggs/min)[/tex]
Percetange of broken = 22%
4) Right Handed
Step-by-step explanation:
1) Flowchart(SEE THE ATTACHMENT)
2) Balance EquationsEgg balance:
[tex]E_{in}=E_X +E_L\\[/tex]
[tex]120(eggs/min)=E_L + 70(eggs/min)\\E_L=120(eggs/min)-70(eggs/min)\\E_L=50(eggs/min)[/tex]
Broken Egg Balance:
[tex](0.3)E_{in}=(x)E_L+ E_X\\0,3\cdot120=x\cdot50+25\\36=50x+25\\50x=36-25\\50x=11\\x=\frac{11}{50}\\x=0.22\\[/tex]
3) Large eggs leaving, % of them broken
Number of large eggs leaving each minute was found by egg balance in Part (2)
[tex]E_L=50(eggs/min)[/tex]
Fraction of them broken was found by broken egg balance in Part (2)
x=0.22
Convert it into a percentage
[tex]x=\frac{22}{100}\cdot10 = 22\%\\[/tex]
4) Fred Right or Left Handed?Percentage of broken eggs in Right hand = 22%
Percentage of broken eggs in Left Hand = [tex]\frac{25}{70}\cdot100=36\%[/tex]
As percentage of broken eggs in his Right hand is less than in his Left Hand, He is RIGHT HANDED.
What two decimals are equivalent to 5.300.
Answer:
Two or more decimal numbers are said to be equivalent decimals, when they name the same value (or same amount). For example, the decimals: 0.2 = 0.20 = 0.200 = 0.2000 etc. Thus by successive addition of zeros after the decimal part of the number after the decimal point means the same number and hence are equivalent. Therefore, the decimals: 5.3, 5.30, 5.300, 5.3000 etc are all equivalent.
Answer:
Two or more decimal numbers are said to be equivalent decimals, when they name the same value (or same amount). For example, the decimals: 0.2 = 0.20 = 0.200 = 0.2000 etc. Thus by successive addition of zeros after the decimal part of the number after the decimal point means the same number and hence are equivalent. Therefore, the decimals: 5.3, 5.30, 5.300, 5.3000 etc are all equivalent.