Answer:
108
Step-by-step explanation:
Add the sides of the triangle
5+3+4 = 12 then look for the height
which is 9
12*9 is 108
Determine whether the given source has the potential to create a bias in a statistical study: An article in Journal of Nutrition noted that chocolate is rich in flavonoids. The article reports that "regular consumption of foods rich in flavonoids may reduce the risk of coronary heart disease." The study received funding from the candy company, and the Chocolate Manufacturers Association. Identify and explain at least one source of bias in the study describe. Then suggest how the bias might have been avoided?
Answer: The source has the potential to create bias because it was sponsored by companies that will benefit from it. This might have been avoided by stoping these companies from sponsoring the study.
Explanation:
A study is biased if its results or process is not objective, which means they have been influenced by a specific perspective or interest, and the results are inaccurate. One of the factors that causes bias is the participation of entities with economic interests in the study.
This occurs in the case described because a candy and a chocolate company sponsored the studies, and therefore results might be modified to benefit the companies. According to this, the study has the potential of being biased, and the main source is the fact it was sponsored by companies with interests.
Besides this, this can be avoided if the study does not accept sponsoring by companies with specific interests. In this way, the study will be objective, and the results will not be influenced, which means the information provided by the study would be accurate and credible.
12
y= x2 + x-2
x+ y=1
If (x, y) is a solution of the system of equations
above, which of the following is a possible value of
xy?
A) 7
B 1
C) -1
D) -12
Answer:
D,xy=-12
Step-by-step explanation:
y=x²+x-2
x+y=1
or x+x²+x-2=1
x²+2x-3=0
x²+3x-x-3=0
x(x+3)-1(x+3)=0
(x+3)(x-1)=0
either x=-3
or x=1
when x=-3
x+y=1
-3+y=1
y=1+3=4
one solution is (-3,4)
xy=-3×4=-12
if x=1
1+y=1
y=0
second solution is (1,0)
xy=1×0=0
PLZ HELP! QUICK! WILL MARK BRAINLIEST!!! 20 POINTS!!! A portion of the Quadratic Formula proof is shown. Fill in the missing statement.
Answer:
D.
Step-by-step explanation:
After the third step, take the square root of both sides.
Third Step:
[tex](x+\frac{b}{2a})^2=\frac{b^2-4ac}{4a^2}[/tex]
Thus, the fourth step is:
[tex]\sqrt{(x+\frac{b}{2a})^2}=\sqrt{ \frac{b^2-4ac}{4a^2}} }[/tex]
The left side cancels:
[tex](x+\frac{b}{2a})=\pm\sqrt{ \frac{b^2-4ac}{4a^2}} }[/tex]
D.
Answer:
x + [tex]\frac{b}{2a}[/tex] = ±[tex]\sqrt \frac{b^{2} - 4ac }{4a^{2} }[/tex] aka choice D
Step-by-step explanation:
The Egyptians used a ramp
that could hold 1,000 pounds.
If 6 people got on the ramp
and they weighed 780 pounds
total. What percentage of the
ramp's weight capacity is still
available?
Answer:
22%
Step-by-step explanation:
Well if the ramp can hold 1000lbs and 6 people all weight 780 in total (they must be really fat lol, but anyway) we can make the following fraction.
780/1000
So now we simplify the fraction to 39/50.
And do 39 / 50 = .78
To make that a percent we move the decimal point 2 times to the right so 78% of the ramp‘s capacity is being used meaning there is stil 22% capacity left.
expand the following 4 (x - 1)
Answer:
4x - 4
Step-by-step explanation:
4 × x = 4x
4 × -1 = -4
4x - 4
Answer:
4x-4
Step-by-step explanation:
4(x-1) 4*x-1*44x-4How can we use a graph to tell that two populations are equal?
Answer: You can see if the graphs of the two populations meet at a given point.
Step-by-step explanation:
If we have a graph of population vs time
such that y = population and x = time, two different populations will be exactly the same for a given time if we have an intersection of the two graphs. The value (x0, y0) where the graphs cross is the time = x0 and the population y0, this means that both populations have y0 individuals at the same time.
This is an example of a ____transformation
Answer: Translation
Step-by-step explanation:
The shape its self has only shifted to the right. It hasn't been rotated or reflected.
Answer:
Translation
Step-by-step explanation:
defintion of translation: the process of moving something from one place to another.
The shpae is being moved to the right as shown by the arrow.
A scientist measured the amounts of fertilizer given to plants, the heights to which the plants grew, and the amount of fruit the plants produced. 2 2-column tables with 5 rows. For table 1, column 1 is labeled Fertilizer (ounces) with entries 175, 192, 130, 128, 184. Column 2 is labeled Height of tree (inches) with entries 50, 52, 36, 35, 50. For table 2, column 1 is labeled Fertilizer (ounces) with entries 175, 192, 130, 128, 184. Column 2 is labeled amount of fruit produced (pounds) with entries 112, 115, 87, 85, 112. The scientist graphed the two sets of data and found that a positive correlation exists in each set. Which statement explains whether there is a relationship between the height of the tree and the amount of fruit produced. Although fertilizer is in both data sets and is positively correlated, only a weak correlation can exist between tree height and fruit yield. Although fertilizer is in both data sets and is positively correlated, it is impossible for any correlation to exist between tree height and fruit yield. Since fertilizer is in both data sets and is positively correlated to both tree height and fruit yield, it is likely that tree height and fruit yield are negatively correlated. Since fertilizer is in both data sets and is positively correlated to both tree height and fruit yield, it is like that tree height and fruit yield are also positively correlated.
Answer:
d. Since fertilizer is in both data sets and is positively correlated to both tree height and fruit yield, it is like that tree height and fruit yield are also positively correlated.
Step-by-step explanation:
The correlation refers to the relationship between two or more variables i.e how they are interrelated to each other. It can be positive, negative, perfect, etc
As we can see in the figure that in both the data sets the fertilizer contains the same values which depict that they are positively correlated with respect to the height of tree and fruit yield that derives that the height of tree and fruit yield is also positively correleated
Here positive correlation means that the two variables moving in a similar direction i.e if one variable increased so the other is also increased
Therefore the option d is correct
Answer:
D
Step-by-step explanation:
I got it right on the test.
Trust me
A recipe calls for a total of 3 and two-thirdscups flour and sugar. If the recipe calls for One-fourthcup of sugar, how much flour is needed?
Answer:
3 and 5/12
Step-by-step explanation:
To find how much flour you need, subtract how much sugar you need from how much total you need of sugar and flower. To do this, turn both numbers into improper fractions. This means 3 and 2/3 turns into 11/3 as there are 3 thirds per whole, and there are three wholes plus the 2 thirds, equaling 11/3. The 1/4 is already an improper fraction, so you can move on.
Now you just covert them to have the same denominator by multiply 11/3 by 4 on top and bottom and 1/4 by 3 on both the top and bottom to get 44/12 and 3/12. Now you just subtract 44/12-3/12 and get 41/12. Made into a mixed number that is 3 and 5/12.
The recipe will require three and five-twelfths (3 5/12) fraction cups of flour.
What are fractions?A fraction is a portion of a whole or, more broadly, any number of equal pieces.
It is written in the form p/q, read as "p by q", where p is called the numerator and q is called the denominator, and the fraction p/q represents p number of equal parts from q number of equal parts.
Fractions are of two types:
Proper fraction: Where numerator < denominator. Improper fraction: Where numerator > denominator. These fractions are written in mixed form also.How to solve the question?In the question, we are informed that a recipe calls for a total of 3 and two-thirds cups of flour and sugar.
We are asked if the recipe calls for One-fourth cup of sugar, then how much flour is needed.
We suppose the quantity of flour required to be x cups.
We know the quantity of sugar required = One-fourth cup.
This can be written as a fraction = 1/4 cup.
We know the total sugar and flour is three and two-thirds cups.
This can be written as a fraction = 3 2/3 cup = 11/3 cup.
Now, we know quantity of sugar + quantity of flour = total quantity
or, 1/4 + x = 11/3
or, x = 11/3 - 1/4 = (44 - 3)/12 = 41/12 = 3 5/12.
Therefore, the recipe will require three and five-twelfths (3 5/12) fraction cups of flour.
Learn more about fractions at
https://brainly.com/question/11562149
#SPJ2
Please help! Having a hard time with these, appreciated if you do :)
Answer:
Hey there!
Here's the first question.
Let l be the length, and w be the width.
Thus, we have 5w=l+4, or 5w-4=l.
The perimeter is 76, so 2l+2w=76.
We see that l=5w-4, so substitute 5w-4 for l.
2(5w-4)+2w=76
10w-8+2w=76
12w-8=76
12w=84
w=7
Thus, the length is 5(7)-4, or 31.
Option C is correct.
Here is the second question)
Let x be the larger angle and y be the smaller angle.
Supplementary angles add to 180 degrees.
x+y=180
x=3y
Similar to the first problem change all the x's into 3y's
3y+y=180
4y=180
y=45
x=135
So the two angles are 45 and 135 and they add to 180 degrees (Choice D)
Hope this helps :)
find the value of x in the isoscleles triangle sqrt45 and altitude 3
Answer:
[tex]c.\hspace{3}x=12[/tex]
Step-by-step explanation:
Isosceles triangles are a type of triangles in which two of their sides have an identical length. It should be noted that the angles opposite the sides that are the same length are also the same. This means that these triangles not only have two equal sides, but also two equal angles.
You can solve this problem using different methods, I will use pythagorean theorem. First take a look at the picture I attached. As you can see:
[tex]x=2a[/tex]
And we can find a easily using pythagorean theorem:
[tex](\sqrt{45} )^{2} =3^{2} +a^{2}[/tex]
Solving for a:
[tex]a^{2} =(\sqrt{45} )^{2} -3^{2} \\\\a^{2} =45-9\\\\[/tex]
[tex]a^{2} =36\\\\a=\sqrt{36} \\\\a=6[/tex]
Therefore:
[tex]x=2a\\\\x=2(6)\\\\x=12[/tex]
NEED ANSWER ASAP! plz someone answer ASAP
Answer:
The value of c is 2
Step-by-step explanation:
p(x) = cx³ - 15x - 68
Since it's divisible by ( x - 4) that means when the value of ( x - 4) is substituted into the polynomial it leaves a remainder of zero that's no remainder.
x - 4 = 0
x = 4
Substitute it into the above expression
That's
c(4)³ - 15(4) - 68 = 0
64c - 60 - 68 = 0
64c = 60 + 68
64c = 128
Divide both sides by 64
c = 2
Hope this helps you
Answer:
h
Step-by-step explanation:
b
The graphs below have the same shape.What is the equation of the red graph ?
Answer:
B. f(x) = 1 - x²
Step-by-step explanation:
Since we are dealing with only vertical movement, all we change is the constant. Since the red graph is up one from the reflected parent graph, we know our graph is f(x) = -x² + 1 or f(x) = 1 - x².
Answer:
B. F(x) = 1 - x^2
Step-by-step explanation:
The red graph is the blue graph translated 3 units down. It has a vertical translation of -3 units.
F(x) = G(x) - 3
F(x) = 4 - x^2 - 3
F(x) = 1 - x^2
if f(x) = 3x^2-2x+4 and g(x)=5x^2+6-8 find (f+g)(x)
Answer: 8x²+4x-4
Step-by-step explanation:
(f+g)(x) is f(x)+g(x). Since we are given f(x) and g(x), we can directly add them together.
3x²-2x+4+5x²+6x-8 [combine like terms]
8x²+4x-4
4. A cricketer scores the following runs in eight innings:
58, 76, 40, 35, 46, 45, 0, 100.
Find the mean score.
Answer:
i believe the answer would be 50
Step-by-step explanation:
to find the mean you add all of the numbers together and divide it by the amount of numbers given.
For example, in this problem, you would add:
58+ 76+ 40+ 35+ 46+ 45+ 0+ 100
which would equal 400
then you you divide 400 by 8 because there are 8 numbers and it gives you the answer of 50
(hope this helped <33)
Answer:
50Step-by-step explanation:
[tex]\dfrac{58+76+40+35+46+45+0+100}{8}=\dfrac{400}8=50[/tex]
The alphabet of a fictionary tribe consists of three letters: A, O and M. Any combination of no more than four of these letters is considered a word. How many words are does this tribe's language have?
Answer:
120 words
Step-by-step explanation:
There are only three possible letters, assuming words can be 1, 2, 3 or 4 letters long:
The number of 1 letter words is 3
The number of 2 letter words is 3² = 9
The number of 3 letter words is 3³ = 27
The number of 4 letter words is 3⁴ = 81
The total number of possible words is:
[tex]3+9+27+81 = 120\ words[/tex]
This tribe's language has 120 words.
please simplify this
Answer:
root 10
Step-by-step explanation:
Construct an inscribed circle in triangle PQR by finding the incenter of the triangle.
Answer:
Check it below
Step-by-step explanation:
Hello!
By definition, the intercept of the 3 bisectors, within a triangle is the Incenter. So let's get started, by tracing three bisectors.
In the triangle PQR::
Use a compass, open its legs with a little more than half of [tex]\overline{PQ}[/tex] . Place the needle point in the vertex of P. Mark!Do the same, placing the needle point in Q, following [tex]\overline{QP}[/tex] direction. MarkRepeat it with the other triangle's line segment, namely:[tex]\overline {QR},\:\overline{PR}[/tex]
4.Trace with a ruler, from each intersection point a line. You'll trace three lines then.
5. Place the compass' needle point in this intersection point, (inside the triangle) with a hinge up to the triangle side, draw the circle inscribed.
Answer:
edg but few yrs later
Step-by-step explanation:
our boss is a biologist who needs wood samples from long-leaf pine trees with a fungal disease which is only visible under a microscope, and she sends you on an assignment to collect the samples. She wants at least 50 different diseased samples. She tells you that approximately 28% of long-leaf pine trees currently have the fungal disease. If you sample 160 long-leaf pine trees at random, what is the probability you’ll have at least 50 diseased samples to return to your boss? (Use the normal approximation to calculate this probability and chose the closest answer to the question.)
Answer:
Step-by-step explanation:
In this scenario, the probability of success, p is 28% = 28/100 = 0.28
Number of samples, n = 160
Probability of failure, q = 1 - p = 1 - 0.28 = 0.72
Mean,µ = np = 0.28 × 160 = 44.8
Standard deviation, σ = √npq = √160 × 0.28 × 0.72 = 5.68
Let x be the random variable representing the number of wood samples from long-leaf pine trees with a fungal disease. Since it is normally distributed and the population mean and population standard deviation are known, we would apply the formula,
z = (x - µ)/σ
Where
x = sample mean
µ = population mean
σ = standard deviation
the probability that you’ll have at least 50 diseased samples to return to your boss is expressed as
P(x ≥ 50) = 1 - P(x < 50)
For P(x < 50)
z = (50 - 44.8)/5.68 = 0.91
Looking at the normal distribution table, the probability corresponding to the z score is 0.819
Therefore,
P(x ≥ 50) = 1 - 0.819 = 0.181
Can someone help me with this question please.....
Answer:
9g/cm3 (g/ml)
Step-by-step explanation:
d(roe)=m/v=63g/7cm3=9g/cm3(g/ml)
d(roe)=m/v=117g/13cm3=9g/cm3(g/ml)
Step-by-step explanation:
We can get the density either by converting both the masses and the volumes or we solve them like like that using the formula Density = P = Mass/Volume. After converting both mass and volume, your unit will be in kg/m^3..........Without converting, your unit will be in g/cm^3Graphically, a point is a solution to a system of two inequalities if and only if the point
o lies in the shaded region of the top inequality, but not in the shaded region of the bottom inequality
O lies in the shaded region of the bottom inequality, but not in the shaded region of the top inequality
O lies in the shaded regions of both the top and bottom inequalities
x does not lie in the shaded region of the top or bottom inequalities.
Intro
Done
Answer:
Lies in the shaded regions of both the top and bottom inequalities.
Step-by-step explanation:
The point of solution for BOTH systems of inequalities must work for both equations. Therefore, the point has to lie in both top and bottom shaded regions or it won't work for both, but just one.
Answer:
C: Lies in the shaded regions of both the top and bottom inequalities.
Step-by-step explanation:
Hope this helps!
Abby earns $7 per hour working as a cashier at a cafe. She earned $ blank in a week in which she worked 28 hours. She earned $ blank in a month which she worked 112 hours.
Answer:she earned 196$ in a week in which she worked 28 hours. she earned 784$ in a month which she worked 112 hours.
196$ and 784$ are your answers
Step-by-step explanation:
Which triangle correctly shows that the side opposite the larger angle is the larger side?
Answer:
The answer is C
I turned it in and it was correct
Step-by-step explanation:
Please mark brainliest
Answer:
c
Step-by-step explanation:
The builder receives a 20% contractor's discount, plus and additional 3% for paying in full within 30 days. Tax on building materials is 5%. What is the total bill including discounts and taxes?
Answer:
$1340.49
Step-by-step explanation:
From the attached image
Subtotal Cost of Purchased Items
[tex]= (20 \times 16.69)+(2 \times 20.78)+(2 \times 15.58)+(6 \times 21.38)\\+(118 \times 6.60)+(500 \times 0.22)+(10 \times 8.44)+(1 \times 150)\\\\=\$1658[/tex]
Since the builder receives a 20% contractor's discount, plus and additional 3% for paying in full within 30 days.
Discount = 23% of $1658 = 0.23 X 1658 =$381.34
Total (Less Discount) = 1658-381.34 = $1276.66
Tax on building materials is 5%.
Therefore:
Tax = 5% of $1276.66=0.05 X 1276.66
Tax=$63.83
Therefore, the total bill:
=$1276.66+63.83
Grand Total =$1340.49
Which of the following are possible side lengths of a triangle? (select all that apply) a. 1, 1, 2 b. 3, 4, 5 c. 5, 5, 11 d. 7, 8, 12 e. 4, 4, 4 f. 4, 8 ,13
Choice B
Choice D
Choice E
=================================================
Explanation:
Use the triangle inequality theorem. This is the idea where adding any two sides must lead to a result larger than the third side; otherwise, a triangle is not possible. I recommend cutting out strings of paper of these lengths to confirm that you can make a triangle or not.
----------------------------------
For choice A, a triangle is not possible since the first two sides add to 1+1 = 2, but this isn't larger than the third side of 2 units. All we can do really is just form a straight line and not a triangle. We can rule choice A out.
----------------------------------
Choice B is a triangle. Specifically it is a 3-4-5 right triangle that is famous with the pythagorean theorem. Note how...
3+4 = 7 is larger than 54+5 = 9 is larger than 33+5 = 8 is larger than 4so adding any two sides of this triangle leads to the sum being larger than the third remaining side. Choice B is one of the answers.
----------------------------------
Choice C is not a triangle. We have 5+5 = 10 but that isn't larger than 11. We can rule this out.
----------------------------------
Choice D is a triangle since
7+8 = 15 is larger than 127+12 = 19 is larger than 88+12 = 20 is larger than 7any two sides sum to a value larger than the third side
----------------------------------
Choice E is a triangle. We have an equilateral triangle with all sides the same length, and all angles the same value (60 degrees). This is another answer.
----------------------------------
Choice F is similar to choice C. We have the first two sides add to something smaller than the third side (4+8 = 12 is smaller than 13). We can rule this out.
What is the median of the data set?
Which statement is true about the ranges for the box plots? A variety of two types of snack packs are delivered to a store. The box plots compare the number of calories in each snack pack of crackers to the number of calories in each snack pack of trail mix.
*The box plots are shown in the attachment
Answer/Step-by-step explanation:
Range is the difference between the largest value of a data set and the lowest value in that data set.
In a box plot, the highest value is located at the end of the whisker to our right, while the lowest value is located at the beginning of the whisker of the box plot at our left.
For Crackers, the range = 100-70 = 30
For Cookies, the range = 115-70 = 45
Therefore, we can conclude that the range value of the number of calories in crackers (30) is less/lower than that of cookies (45).
Answer: D. The number of calories in the packs of trail mix have a greater variation than the number of calories in the packs of crackers.
please help i will give you brainliest if you give me the right answer and don't copy from online or another answer source from on here!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
A horror movie ticket costs $6.50 per child. Which equation can be used to calculate the horror ticket price, M, for n children?
Answer:
The answer would be M = 6.5n because 6.50 per child would be 6.50 * n which can be simplified to 6.50n or 6.5n.
Answer:
correct answer is above :>
Step-by-step explanation:
Can somebody explain this to me and the answer I don’t get this at all
Answer:
a)~5572.45 (cm^3)
b)~1519.76 (cm^2)
Step-by-step explanation:
A volleyball has a diameter d = 22 cm
=> Its radius r is r = d/2 = 22/2 = 11 cm
a) Its volume is calculated by:
V = (4/3) x pi x r^3
with p = ~3.14 and r = 11 cm
=> V = (4/3) x 3.14 x 11^3 = ~5572.45 (cm^3)
b) Its surface area is calculated by:
A = 4 x pi x r^2
with p = ~3.14 and r = 11 cm
=> A = 4 x 3.14 x 11^2 = ~1519.76 (cm^2)
mr Kobe has 30 students in his class ha has twice as many girls and boys what are the ratios to total students
Answer:
Step-by-step explanation:
2:3 is the correct answer
I hope this helps you