The probability that the sample proportion is less than 0.80 is mathematically given as P(z<-0.52)
What is the probability that the sample proportion is less than 0.80?Generally, the equation for probability is mathematically given as
p=82/100
Therefore
p=0.82
q=1-p
q=1-0.82
q=0.18
[tex]SE=\sqrt{\frac{p(1-p)}{n}}\\\\SE=\sqrt{\frac{0.8(1-0.8)}{100}}\\\\SE=0.03841[/tex]
b)
[tex]P(p < 0.80)=p(\frac{p-0.82}{0.0384} < \frac{0.8-0.82}{0.0384})\\\\P(z < -0.52)[/tex]
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On that question regarding adding up different amounts of time you came to the conclusion the answer was 7.825. How much time is .825?
The time 0.825 is 49.5 minutes based on the conclusion that the sum of the different amounts of time was 7.825 hours.
What is the proportion in time?Proportion in time refers to the relationship between two or more ratios or quantities expressed in time measurements.
Data and Calculations:One hour = 60 minutes
One minute = 60 seconds
0.825 of an hour = 49.5 minutes (0.825 x 60 minutes)
0.5 minutes = 30 seconds (0.5 x 60)
Thus, we can conclude that the total time involved is 7 hours, 49 minutes, and 30 seconds.
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Are the arcs below congruent?
113°
A
B
0
H
120⁰
G
OA. Yes, because the central angles are the same.
OB. Yes, because they are both minor arcs.
Answer:
C. no, because the arcs do not have the same measure.
Step-by-step explanation:
for 2 structures to be congruent all the angles need to be the same (and then all the lines must have the same scaling factor between both structures - but that is not relevant here anymore, since the angles are already off).
so if you have to do goals what goals are best
It really depends what situation you are trying to set goals at,
Trying to understand math concept or any really concept, I would set little goals such as " Study for 15 mins a day" or something and the big goal would be "UNDERSTAND THE CONCEPT"
for goals, I would set small goals that work towards your main goal.
Answer:
Marriage and Family Harmony. ...
Proper Mindset and Balance. ...
Commitment to Improved Physical Health. ...
Career Passion and Personal Satisfaction. ...
Develop Empathy and Gentleness. ...
Financial Stability. ...
Service and Social Responsibility.
100 POINTS!!! A group of students were asked if they carry a credit card. The responses are listed in the table. If a student is selected at random, find the probability that he or she owns a credit card given that the student is a freshman. Round your answer to three decimal places.
Answer:
0.350 (3 d.p.)
Step-by-step explanation:
[tex]\sf Probability\:of\:an\:event\:occurring = \dfrac{Number\:of\:ways\:it\:can\:occur}{Total\:number\:of\:possible\:outcomes}[/tex]
Let P(A) = probability that the student is a freshman
Let P(B) = probability that the student owns a credit card
Use the given table to calculate the probability that the student is a freshman:
[tex]\implies \sf P(A)=\dfrac{60}{100}=0.6[/tex]
And the probability that the student is a freshman and owns a credit card:
[tex]\implies \sf P(A \cap B)=\dfrac{21}{100}=0.21[/tex]
To find the probability that the student owns a credit card given that the they are a freshman, use the conditional probability formula:
Conditional Probability Formula
The probability of B given A is:
[tex]\sf P(B|A)=\dfrac{P(A \cap B)}{P(A)}[/tex]
Substitute the found values into the formula:
[tex]\implies \sf P(B|A)=\dfrac{0.21}{0.6}=0.35[/tex]
Therefore, the probability that the student owns a credit card given that they are a freshman is 0.35
A relish is prepared by the following recipe:
pickles
onions
1000 pounds
500 pounds
900 pounds
75 pounds
5 pounds.
sugar
salt brine
spices
The onions are 85% water, the pickles are 92% water and 1.1% salt, and the salt brine is 88%
water. During processing, 18% of the water originally in the mixture is evaporated out.
What is the weight of relish prepared.
The weight of relish prepared after the evaporation of water is 2,226.02 pounds
Percentagepickles = 1000 poundsonions = 500 poundssugar = 900 poundssalt brine = 75 poundsspices = 5 poundsTotal = 1000 + 500 + 900 + 75 + 5
= 2,480 pounds
pickles are 92% water
= 92/100 × 1000
= 920 pounds
onions are 85% water
= 85/100 × 500
= 425 pounds
salt brine is 88% water
= 88/100 × 75 pounds
= 66 pounds
Total water in the mixture = 920 pounds + 425 pounds + 66 pounds
= 1,411 pounds
Percentage of water evaporated = 18%Amount of water evaporated = 18/100 × 1,411 pounds
= 253.98 pounds
Weight of the relish prepared = 2,480 pounds - 253.98 pounds
= 2,226.02 pounds
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12. Of two inlet pipes, the smaller pipe takes four hours longer than the larger pipe to fill a
pool. When both pipes are open, the pool is filled in three hours and forty-five minutes. If
only the larger pipe is open, how many hours are required to fill the pool?
Answer:
6 hours
Step-by-step explanation:
Let the smaller pipe fill the pool in x hours and the bigger pipe y hours.
x-y=4
1/x+1/y=4/15
x=10, y=6
so 6 hours
Step-by-step explanation:
l = large pipe
s = small pipe
s needs x hours alone to fill the pool.
l needs x-4 hours alone to fill the pool.
s does 1/x of the work in 1 hour.
l does 1/(x-4) of the work in 1 hour.
3 hours 45 minutes = 3.75 hours
3.75 × 1/x + 3.75 × 1/(x-4) = 1 (= the whole work)
3.75 + 3.75 × x/(x-4) = x
3.75×(x-4) + 3.75×x = x(x-4) = x² - 4x
3.75x - 15 + 3.75x = x² - 4x
7.5x - 15 = x² - 4x
-15 = x² - 11.5x
0 = x² - 11.5x + 15
the general solution to such a quadratic equation is
x = (-b ± sqrt(b² - 4ac))/(2a)
in our case
a = 1
b = -11.5
c = 15
x = (11.5 ± sqrt(132.25 - 4×1×15))/(2×1) =
= (11.5 ± sqrt(72.25))/2 = (11.5 ± 8.5)/2
x1 = (11.5 + 8.5)/2 = 20/2 = 10
x2 = (11.5 - 8.5)/2 = 3/2 = 1.5
x = 1.5 would turn l = 1/(x-4) negative, which does not make sense.
so, x = 10 is our solution.
that means
s does 1/10 of the work in 1 hour.
so, the small pipe alone fills the pool in 10 hours.
l does 1/(10-4) = 1/6 of the work in 1 hour.
so, the large pipe alone fills the pool in 6 hours.
This table shows rainfall in centimeters for a city in different months the quadratic regression equation that models these data is y=-0.77x^2+6.06x-5.9. Using the model the predicted rainfall for month 11 is about -32.4 centimeters does this prediction make sense why or why not HELP ASAP
Answer:
(a) No; rainfall amounts are positive
Step-by-step explanation:
Rainfall amounts are measured using a gauge that reports the amount as zero when the gauge is empty. Any rainfall adds to the amount in the gauge, so is reported as a positive number. There is no way to remove more rainfall than is in the gauge, so there is no way to have a negative rainfall amount
A prediction of a negative rainfall amount makes no sense, because you can't have a negative amount of rainfall.
Select the solution to the following system of equations:
Answer:
4x+2y=4
3x-y=-7
first one by 3
second by 4
12x+6y=12
12x-4y=-28
subtract
10y=40
y=4
plug in
3x-4=-7
add 4
3x=-3
x=-1
(-1,4)
c
Hope This Helps!!!
Answer: third option
Step-by-step explanation:
There are 2 ways to go about systems of equations normally, and that's elimination and substitution. For this particular problem, I would recommend elimination.
we see the first equation 4x+2y=4
we want to be able to simplify it as much as possible (so it's easier to solve)
so we divide all the terms by 2, giving 2x+y=2.
the second equation can't be simplified, so we set up the elimination method.
2x+y=2
-3x-y=-7
multiplying both equations by 2 and 3, we subtract them and get that y equals 4, which is clearly the answer.
Find the coefficient of x^6 in the binomial expansion of (2x + 3)^9
Answer:
145,152
Step-by-step explanation:
So there's actually two things you'll need in this equation. You'll need to use pascals triangle, to find the coefficients, and the binomial theorem to find the degrees.
So in this case you want to find the 9th row of pascals triangle. You could write out the entire 10 rows of pascals triangle to find the 9th row (because the first row is row 0). So to find the nth row you generally will start with 1 as the first term as every single row will start with this number. Now after that you're going to continue "row" amount of times starting with 2 values. One value which I'll name k=0 and the other j=1
Now let's start with what we have {1}, take the previous term and (which will always be 1 in the first case, and then multiply it by (row - k) / j. So in this case k=0, and j=1, row=9. You'll have (1 * (9)) / 1. This gives you 9, which is the second term. So now you have the terms {1, 9}. Now the next iteration add 1 to k and 1 to j. And the previous is now 9. So now you have (9 * (9 - 1)) / 2 = (9 * 8) / 2 = 72 / 2 = 36. Which is the next term. {1, 9, 36}. and then continue this until you have row+1 amount of numbers, or in other words repeat it "row" amount of times, since you already started with 1.
In doing so you will get {1, 9, 36, 84, 126, 126, 84, 36, 9, 1}
Now to use binomial theorem to expand find the degrees. Cause currently we can determine the coefficients, but what about the degrees? So it's as if we have the equation: [tex]1(2x)^a(3)^b+9(2x)^c(3)^d+36(2x)^e(3)^f.....[/tex] and so on until we use up all the numbers in the row. But binomial theorem essentially states that the degrees will expand as such: [tex]C_0a^nb^0+C_1+a^{n-1}b^{0+1}+C_2a^{n-2}b^{0+2}...C_na^{n-n}b^{n}[/tex]. So essentially the degree of a starts at n (in this case 9), and and then from there continues to go down until it reaches 0, while the degree of b starts at 0 (so it's just 1) and continues to go up (by 1) until it reaches n
So expanding it out gives us:
[tex]1(2x)^9(3)^0 + 9(2x)^{9-1}(3)^{0+1}+36(2x)^{9-2}(3)^{0+2}+84(2x)^{9-3}(3)^{0+3}[/tex]... and so on But in this case we really only care about degree six which occurs at 9-3. So let's focus on that
[tex]84(2x)^6(3)^3[/tex]. This evaluates out to [tex]84(64x^6)(27)[/tex] which then evaluates to [tex]145,152x^6[/tex]
Giving brainliest :)
Answer:
3
Step-by-step explanation:
first find g(-2) by plugging in -2 as x in the g(x) equation
g(-2) = 3(-2)+5
g(-2) = -6+5
g(-2) = -1
then plug that value (-1) as x in the f(x) equation
f(-1) = 4-(-1)^2
f(-1) = 4-1
f(-1) = 3
1) Write four consecutive integers preceding -87?
Answer:
-86,-85,-84,-83 and so on...
Step-by-step explanation:
Use the Number Line
Answer:
-88,-89,-90,-91,-92
Step-by-step explanation:
Can someone please help me with calculus , i am having so much trouble. Thank you! 12points
1) If the limit [tex]L[/tex] is
[tex]L = \displaystyle \lim_{\Delta x\to0} \frac{\sin\left(\frac\pi3 + \Delta x\right) - \sin\left(\frac\pi3\right)}{\Delta x}[/tex]
then using the hint as well as [tex]\sin\left(\frac\pi3\right)=\frac{\sqrt3}2[/tex] and [tex]\cos\left(\frac\pi3\right)=\frac12[/tex] we have
[tex]\displaystyle L = \lim_{\Delta x\to0} \frac{\sin\left(\frac\pi3\right)\cos(\Delta x) + \cos\left(\frac\pi3\right)\sin(\Delta x) - \sin\left(\frac\pi3\right)}{\Delta x}[/tex]
[tex]\displaystyle L = \sin\left(\frac\pi3\right) \lim_{\Delta x\to0} \frac{\cos(\Delta x) - 1}{\Delta x} + \cos\left(\frac\pi3\right) \lim_{\Delta x} \frac{\sin(\Delta x)}{\Delta x}[/tex]
[tex]L = \dfrac{\sqrt3}2 \times 0 + \dfrac12\times1 = \boxed{\dfrac12}[/tex]
which follows from the well-known limits,
[tex]\displaystyle \lim_{x\to0} \frac{1-\cos(x)}x = 0 \text{ and } \lim_{x\to0} \frac{\sin(x)}x=1[/tex]
Alternatively, if you already know about derivatives, we can identify the limit as the derivative of [tex]\sin(x)[/tex] at [tex]x=\frac\pi3[/tex], which is [tex]\cos\left(\frac\pi3\right)=\frac12[/tex].
2) It looks like you may be using double square brackets deliberately to denote the greatest integer or floor function which rounds the input down to the nearest integer. That is, [tex][\![x]\!][/tex] is the greatest integer that is less than or equal to [tex]x[/tex]. The existence of [tex]L[/tex] depends on the equality of the one-sided limits.
Suppose [tex]3\le x<4[/tex]. Then [tex]2[tex]\displaystyle \lim_{x\to4^-} [\![x - 1]\!] = 2[/tex]
Now suppose [tex]4\le x<5[/tex], so that [tex]3\le x-1 < 4 \implies [\![x-1]\!]=3[/tex] and
[tex]\displaystyle \lim_{x\to4^+} [\![x-1]\!] = 3[/tex]
The one-sided limits don't match so the limit doesn't exist.
If your scientific notation is 2.420 x 10° g (2.420 E 5 g), which direction would you move the decimal point to get the scientific notation converted back to standard notation?
Down
Left
Up
Right
According to scientific notation the decimal point is shifted to the right (option D).
What is scientific notation?Scientific notation is a term to refer to the way of writing numbers based on powers of 10. Generally this tool is used for very large or small values.
According to the above, the number 2,420 x 10⁵ expressed in decimal would look like this:
242000According to the above, it can be inferred that the point is placed in the final right part of the number, that is, it moves to the right.
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the mean monthly electric bill is 132 residents of the local apartment complex is $86 what is the best point estimate for the mean monthly electric bill for all residents of the local apartment complex?
Considering the sample mean, the best estimate for the mean monthly electric bill for all residents of the local apartment complex is of $86.
How to find the point estimate of a population parameter?The point estimate for the population parameter is found according to the parameter for a sample from the population. For example:
The best point estimate for the population mean is the sample mean.The best point estimate for the population standard deviation is the sample standard deviation.In this problem, the mean bill for 132 residents is of $86, hence the best estimate for the mean monthly electric bill for all residents of the local apartment complex is of $86.
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Roll the number cube below several times to get a sense of its random behavior. What is the probability of rolling a 3?
Step-by-step explanation:
If you roll the die once, the probability of getting a 3 is 1/6
If you roll the die twice and get a three both times, the probability of that happening is 1/6 * 1/6 or 1/36
and so on...
The probability of rolling a 3 is 1/6.
What is Probability?Probability is simply the possibility of getting an event. Or in other words, we are predicting the chance of getting an event.
The value of probability will be always in the range from 0 to 1.
Given that,
A number cube is rolled several times.
There are a total of 6 numbers in a number cube.
Total outcomes = 6
We have to find the probability of rolling a 3.
Probability = 1/6
Hence the required probability is 1/6.
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what is the area of the shaded face of the cylinder is 22m
give your answer to the nearest whole number and give the correct units
The area of the shaded face of the cylinder with the given radius is approximately 1520cm².
This question is incomplete, the missing diagram is uploaded along the answer below.
What is the area of the shaded face of the cylinder?From the diagram, the shaded region is a circle with radius 22 meters.
Area of a circle is expressed as;
A = π × r²
r is radius and π is constant pi ( π = 3.14 )
We substitute our values into the equation above.
A = π × r²
A = 3.14 × (22m)²
A = 3.14 × 484m²
A = 1519.76 ≈ 1520cm²
Therefore, the area of the shaded face of the cylinder with the given radius is approximately 1520cm².
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Let g(x) = log7 (x),
find g ¹(0)
Step-by-step explanation:
The derivative of log is
[tex] \frac{d}{dx} ( log_{a}(x) ) = \frac{1}{x \: ln(a) } [/tex]
You can easily derive this using the Change of base rule, and natural log rules
[tex] log_{a}(x) = \frac{ log_{e}(x) }{ log_{e}(a) } = \frac{ ln(x) }{ ln(a) } [/tex]
Next, we differentiate with respect to x.
[tex] \frac{d}{dx} \frac{ ln(x) }{ ln(a) } = \frac{1}{ ln(a) } \times \frac{d}{dx} ln(x) [/tex]
[tex] = \frac{1}{x ln(a) } [/tex]
So back to the topic at hand,.
a=7, so we get
[tex] \frac{1}{x ln(7) } [/tex]
We plug in 0, we would get undefined
What is the area of the parallelogram?
Enter your answer in the box.
mm²
Parallelogram. Left side labeled 21 millimeters. Top side labeled 27 millimeters. A dashed segment perpendicular to the 27 millimeter side is labeled 18 millimeters.
Answer:
486mm²Step-by-step explanation:
The area of a parallelogram is h*b where h is the height/altitude and b is the base.
The base is 27 millimeters and the altitude is 18 millimeters, so we multiply those together.
27*18= 486.
The area of the parallelogram is 486mm²
Hope this helps!
Can u help me with number 7
Step-by-step explanation:
This triangle is acute! ✅
It is also scalene.
see the picture below
Which shows an equation in point-slope form of the line shown?
y−4=43(x−2)
y−2=34(x+6)
y−4=34(x−2)
y+2=43(x+6)
Number graph ranging from negative ten to ten on the x and y axes. A line passes through the labeled points (negative six, negative two) and (two, four).
Answer: Option (3)
Step-by-step explanation:
The slope of the given line is
[tex]\frac{-2-4}{-6-2}=\frac{-6}{-8}=\frac{3}{4}[/tex]
Thus, the answer must be Option (3)
Why is it important to use the correct units of measurement when working with conversions?
Answer:
help to others the exact amount u have
Which rule describes the composition of transformations that maps ΔJKL to ΔJ"K"L"?
The rule that describes the composition of transformations that maps ΔJKL to ΔJ"K"L" is Rotation 0° to 90° and reflection about the x-axis.
What is the transformations rule that was used here?A transformation is a rule that is used to manipulate the position of a point of geometric figure.
Analyzing the figure, rotation of ΔJKL through the angle 90 degrees in a counter-clockwise direction gives us ΔJ'K'L' .
ΔJ"K"L" is been gotten also using ΔJ'K'L' through the refraction of ΔJ'K'L' across the x-axis.
In this case, rule that describes the composition of transformations that maps ΔJKL to ΔJ"K"L" is Rotation 0° to 90° and reflection about the x-axis.
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Answer: C). 90 degree rotation about point 0 composition translation of negative 2 units x, 0 units y
Step-by-step explanation:
Find the critical points of the surface f(x, y) = x3 - 6xy + y3 and determine their nature.
Compute the gradient of [tex]f[/tex].
[tex]\nabla f(x,y) = \left\langle 3x^2 - 6y, -6x + 3y^2\right\rangle[/tex]
Set this equal to the zero vector and solve for the critical points.
[tex]3x^2-6y = 0 \implies x^2 = 2y[/tex]
[tex]-6x+3y^2=0 \implies y^2 = 2x \implies y = \pm\sqrt{2x}[/tex]
[tex]\implies x^2 = \pm2\sqrt{2x}[/tex]
[tex]\implies x^4 = 8x[/tex]
[tex]\implies x^4 - 8x = 0[/tex]
[tex]\implies x (x-2) (x^2 + 2x + 4) = 0[/tex]
[tex]\implies x = 0 \text{ or } x-2 = 0 \text{ or } x^2 + 2x + 4 = 0[/tex]
[tex]\implies x = 0 \text{ or } x = 2 \text{ or } (x+1)^2 + 3 = 0[/tex]
The last case has no real solution, so we can ignore it.
Now,
[tex]x=0 \implies 0^2 = 2y \implies y=0[/tex]
[tex]x=2 \implies 2^2 = 2y \implies y=2[/tex]
so we have two critical points (0, 0) and (2, 2).
Compute the Hessian matrix (i.e. Jacobian of the gradient).
[tex]H(x,y) = \begin{bmatrix} 6x & -6 \\ -6 & 6y \end{bmatrix}[/tex]
Check the sign of the determinant of the Hessian at each of the critical points.
[tex]\det H(0,0) = \begin{vmatrix} 0 & -6 \\ -6 & 0 \end{vmatrix} = -36 < 0[/tex]
which indicates a saddle point at (0, 0);
[tex]\det H(2,2) = \begin{vmatrix} 12 & -6 \\ -6 & 12 \end{vmatrix} = 108 > 0[/tex]
We also have [tex]f_{xx}(2,2) = 12 > 0[/tex], which together indicate a local minimum at (2, 2).
ten selected students took a. altitude test out of the total score of 100 these students scored 60,50,50,70,40,80,65,55,50 and 90 respectively calculate the mean and the mode and the median for the given set of data
Answer:
• mean = 61
• mode = 50
• median = 57.5
Step-by-step explanation:
• The mean is calculated by adding all the values together, and dividing the result by the number of values.
∴ mean = [tex]\frac{60 + 50 + 50 + 70 + 40 + 80 + 65 + 55 + 50 + 90}{10}[/tex]
⇒ mean = [tex]\frac{610}{10}[/tex]
⇒ mean = 61
• The mode of a set of values is the value that is the most common (has highest frequency) among them.
50 is the most common value.
∴ mode = 50
• The median is the middle-value of a set of ordered values.
∴ We have to first rearrange the set:
⇒ 40, 50, 50, 50, 55, 60, 65, 70, 80, 90
Now we need to find the middlemost value:
Since we have 10 values, which is an even number, we have to use the formula:
median = [tex]\frac{(n/2)^{th} \space\ term \space\ + \space\ [(n/2) + 1]^{th} \space\ term }{2}[/tex]
where n is the number of values.
∴ median = [tex]\frac{(10/2)^{th} \space\ term \space\ + \space\ [(10/2) + 1]^{th} \space\ term }{2}[/tex]
⇒ median = [tex]\frac{5^{th} \space\ term \space\ + \space\ 6^{th} \space\ term }{2}[/tex]
The 5th and 6th terms in our ordered series are 55 and 60 respectively.
∴ median = [tex]\frac{55 + 60}{2}[/tex]
⇒ median = 57.5
Daran just retired, and has $670,000 to invest. A very safe Certificate of Deposit (CD) account pays 1.5%, while a riskier bond fund pays 8.5% in interest. Daran figures he needs $40,000 a year in interest to live on. How much should he invest in each account to make enough interest while minimizing his risk? Round answers to the nearest dollar.
Answer:
bond: $427,857CD: $242,143Step-by-step explanation:
We can use the given interest rates and the investment and interest amounts to write an equation for the amount of interest Daran needs to earn.
SetupLet b represent the amount Daran should invest in the bond fund (in thousands). Then 670 -x is the amount he will invest in the CD account. The total interest he wants to earn (in thousands) is ...
0.085(b) +0.015(670 -b) = 40
SolutionEliminating parentheses and collecting terms, we have ...
0.07b +10.05 = 40
0.07b = 29.95
b = 427.857
Daran should invest $427,857 in the bond fund and $242,143 in the CD account.
Question 7 of 12, Step 1 of 2
6/19
Correct
If you throw exactly one head in two tosses of a coin you win $9. If not, you pay me $15.
Step 1 of 2: Find the expected value of the proposition. Round your answer to two decimal places. Losses must be expressed as negative values.
Answer
Step-by-step explanation:
the expected value is calculated by multiplying each of the possible outcomes by their probability, and then summing up all these results.
tossing a coin 2 times gives us 4 possible different outcomes (all with the same probability of 0.25) :
head - tail
head - head
tail - head
tail - tail
to have exactly one head is 2 out of these 4 possible outcomes, and the probability is 0.5.
everything else is also 2 out of these 4 possible outcomes, and the probability for that is therefore 0.5 too.
the expected value (from your point of view) is
9×0.5 - 15×0.5 = -$3.00
One Scrambled egg contains 95 calories . How many calories are there in 3 scrambled eggs
-------------------------------------------------------------------------------------------------------------
Answer: [tex]\textsf{285 total calories}[/tex]
-------------------------------------------------------------------------------------------------------------
Given: [tex]\textsf{1 egg = 95 calories}[/tex]
Find: [tex]\textsf{Calories in 3 eggs}[/tex]
Solution: In order to determine the total amount of calories in 3 eggs we must multiply the amount of calories in one egg by 3. So we do 95 * 3 which gives us 285 total calories.
Solve for x: -4(3x - 2) = 6x +2
Answer:
x=1/3
Step-by-step explanation:
-4(3x-2)=6x+2
or,-12x+8=6x+2
or,-12x-6x=2-8
or,-18x=-6
or,x=-6/-18
or,x=1/3
PLEASE SEE THE ABOVE PICTURE.
Solve this part please fast
Give the right answers
Step-by-step explanation:
believe it or not, the area of any triangle is
baseline × height / 2
we have here 2 triangles, both with the same baseline (8 cm), but with 2 different heights : 6.5 cm and 4.6 cm.
so, their areas are
8 × 6.5 / 2 = 4 × 6.5 = 26 cm²
8 × 4.6 / 2 = 4 × 4.6 = 18.4 cm²
so, in total, the shaded region is
26 + 18.4 = 44.4 cm²
Help don’t understand
Answer:
f(-14) = -6
f(-4) = 6
f(12) = 6
f(0) = -3
negative
Step-by-step explanation:
f(-14) = -6
This is because when x is -14, y is -6, as seen in the graph
f(-4) = 6
This is because when x is -4, y is 6, as seen in the graph
f(12) = 6
This is because when x is 12, y is 6, as seen in the graph
f(0) = -3
This is because when x is 0, y is -3, as seen in the graph
is f(4) positive or negative?
negative
This is because when x is 4, y is -6, as seen in the graph