The approximate area of the unshaded region under the standard normal curve is 0.86 the option third is correct.
It is given that the standard normal curve shows the shaded area in the curve.
It is required to find the approximate area of the unshaded region under the standard normal curve.
What is a normal distribution?It is defined as the continuous distribution probability curve which is most likely symmetric around the mean. At Z=0, the probability is 50-50% on the Z curve. It is also called a bell-shaped curve.
In the curve showing the shaded region area between:
[tex]\rm P(1 < Z < 2)[/tex]
First, we calculate the shaded region area:
From the data given the value of Ф(1) = 0.8413.
P(Z<1) = 0.8413 and
P(Z<2) = 0.9772
The area of the shaded region:
= P(Z<2) - P(Z<1)
= 0.9772 - 0.8413
= 0.1359
The area of the unshaded region:
= 1 - The area of the shaded region ( because the curve is symmetric)
= 1 - 0.1359
= 0.8641 ≈ 0.86
Thus, the approximate area of the unshaded region under the standard normal curve is 0.86 the option third is correct.
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please help i will give brainly?
8. Harper, Elie, and Raina are having a skateboard race. Harper began at the starting line and rode at a
constant rate of 3 feet per second. Elie got a five-foot head start and rode two feet every 3 seconds. Raina
rode 3 feet every five seconds and had a two-foot head start.
Answer:
Step-by-step explanation:
Which of the following statements is equivalent to P (z greater-than-or-equal-to 1. 7)? P (z greater-than-or-equal-to negative 1. 7) 1 minus P (z greater-than-or-equal-to negative 1. 7) P (z less-than-or-equal-to 1. 7) 1 minus P (z less-than-or-equal-to 1. 7).
This [tex]\rm P(Z\geq 1.7)[/tex] is equivalent to [tex]\rm 1-P(Z\leq 1.7)[/tex]
It is given that the [tex]\rm P(Z\geq 1.7)[/tex]
It is required to find which statement is equivalent to [tex]\rm P(Z\geq 1.7)[/tex]
The statements are:
[tex]a) \ \rm P(Z\geq -1.7)\\b) \ \rm 1-P(Z\geq -1.7)\\c) \ \rm P(Z\leq 1.7)\\d) \ \rm 1-P(Z\leq 1.7)[/tex]
What is a normal distribution?It is defined as the continuous distribution probability curve which is most likely symmetric around the mean. At Z=0, the probability is 50-50% on the Z curve. It is also called a bell-shaped curve.
We have the [tex]\rm P(Z\geq 1.7)[/tex]
We know that:
[tex]\rm P(Z\leq a)=P(Z\geq -a)\\\rm P(Z\geq a)=P(Z\leq -a)[/tex]
If we compare statement (a) and statement (c), we will see these options are not equivalent to [tex]\rm P(Z\geq 1.7)[/tex]
For statement (b) if we plot the graph for the given statement we will get the negative area of the bell curve hence it is also incorrect.
For statement (d) if we plot the graph for the given statement we will get the positive area which is equivalent to the [tex]\rm P(Z\geq 1.7)[/tex]
Thus, the [tex]\rm P(Z\geq 1.7)[/tex] is equivalent to [tex]\rm 1-P(Z\leq 1.7)[/tex]
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If gas costs $3.58 a gal.how many gallons for $15.00
Answer:
Simple, Just divide 15.00 by 3.58 to get the answer of 4.19
Step-by-step explanation:
15.00 ÷ 3.58 = 4.19
How many flowers spaced in every 6in., are needed to surround a circular garden with a 175-ft radius? Use 3.14 for (pie symbol)
Answer
2199
Step-by-step explanation:
the perimeter of the circle:
3.14 x 175 x 2= 1099
there are 2 inches in one foot
1099x12 = 13188
13188/6 inches = 2198
2198+1=2199 flowers
I just took a test and my brain is fried please help thanks
[tex]tan(\theta )=\sqrt{3}\implies tan(\theta )=\cfrac{\sqrt{3}}{1}\implies tan(\theta )=\cfrac{\sqrt{3}}{1}\cdot \cfrac{2}{2} \implies tan(\theta )=\cfrac{\sqrt{3}}{2}\cdot \cfrac{2}{1} \\\\\\ tan(\theta )=\cfrac{~~\stackrel{sin(\theta )}{\frac{\sqrt{3}}{2}} ~~}{\underset{cos(\theta )}{\frac{1}{2}}}\implies \theta =tan^{-1}\left( \cfrac{~~\frac{\sqrt{3}}{2} ~~}{\frac{1}{2}} \right)\implies \theta = \begin{cases} \stackrel{I~Quadrant}{60^o}\\\\ \stackrel{III~Quadrant}{240^o} \end{cases}[/tex]
Check the picture below.
A restaurant manager gives a survey to all of his customers asking them to rate the quality of the service they received. He then keeps track of how many customers return to the restaurant during the next six months. Last year, the results showed that of the customers who reported high quality service, 90% returned for additional meals. What conclusion can be drawn from this study? (6 points) Only some customers who rate their service as high quality return for additional meals. Most customers who rate their service as high quality return for additional meals. High quality services cause customers to return for additional meals. Customers who will return for additional meals report a high quality of service.
Answer: High quality services cause customers to return for additional meals.
Step-by-step explanation: The 90% crosses out the first option. Because it's 90% we don't know if all the customers reported their service. The last one just to me wouldn't make sense.
help me pleaseeeeeeeeee
draw a market and place the point (4 ; 1)
then you go on your right : 4 units
and go down : 3 units
you place a second point
and now you can graph the line
Walmart has baby diapers for $5.99, car tires for $79.99 and cheerio’s $3.99. what’s the total cost?
Answer:
89.97
Step-by-step explanation:
5.99+79.99 = 85.98 + 3.99 = 89.97
NEED HELP ASAP!!!! GIVING BRAINLIEST+ 30 POINTS TO WHOEVER CAN ANSWER THESE TWO QUESTIONS THE BEST!!!
Answer:
For question 2: 15/4.
For question 3: 10/8.
Step-by-step explanation: To multiply fractions, you multiply the numerators and then the denominators. We should first transform any whole numbers into fractions. The first step is done below:
For question 2: 5 to 5/1.
For question 3: 2 to 2/1.
Now, we can multiply the numerators and denominators to answer the following:
For question 2: 5/1 x 3/4. The numerators are 5 and 3, so multiply those to get 15. The denominators are 1 and 4, so multiply those to get 4. Your answer is 15/4.
For question 3: 2/1 x 5/8. The numerators are 2 and 5, so multiply those to get 10. The denominators are 1 and 8, so multiply those to get 8. Your answer is 10/8.
Let me know if this is right! :)
He wallow fire of 2011 burned 538,000 acres in eastern arizona. A. [2 pts] if one square mile is 640 acres, how many square miles did the fire burn?
The square miles that was burned if one square mile is 640 acres is 840.625 square miles.
What does division mean?Division is the process of grouping a number into equal parts using another number. The sign used to denote division is ÷. Division is one of the basic mathematical operations.
How many square miles was burned?Square miles that was burned = 538,000 / 640 = 840.625 square miles
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There are 840.625 square miles did the fire burn.
What is division?Division is the process of sharing a collection of items into equal parts and is one of the basic arithmetic operations in maths.
The wallow fire of 2011 burned 538,000 acres in eastern Arizona.
The area of square miles did the fire burned is;
[tex]\rm Area =\dfrac{538,000}{640}\\\\Area =840.625 \ square \ miles[/tex]
Hence, there are 840.625 square miles did the fire burn.
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I WILL GIVE YOU BRAINLIEST PLEASE HELPPPPP
Answer: 3/2
Step-by-step explanation:
Let's consider the points (6,9) and (4,6).
The difference in the y coordinates is 3, and the diffeence in the x coordinates is 2.
So, the slope is 3/2.
Suppose that 18 inches of wire costs 72 cents.
At the same rate, how many inches of wire can be bought for 44 cents
(100 POINTS AND BRAINLIEST) 1 Question - Mr. Morris is going to save money and replace his sailboat's mainsail himself. He must determine the area of the mainsail in order to buy the correct amount of material. Calculate the area of the parallelogram to determine how much material should be purchased. Be sure to explain how to decompose this shape into rectangles and triangles. Describe their dimensions and show your work.
Question 2 - (05.03)Lisa has to cut her grandma's grass this weekend and wants to know exactly how much area she will be cutting. Calculate the area of the polygon. Be sure to show all your work and explain your answer. (Picture is for question 2)
Answer:
I don't know I'm trying my best and I'm late
Step-by-step explanation:
pls help me to answer this
I'll do the first two questions of each activity to get you started. The remaining unanswered questions will follow similar steps compared to the other questions in the same activity group.
=======================================================
Activity 5, Problem 1
To find the mean, we first add up the values
4+8+2+8+5+9 = 36
Then we divide over n = 6 because there are 6 values in this data set.
36/n = 36/6 = 6
Answer: Mean = 6=======================================================
Activity 5, Problem 2
Follow the same idea as the previous problem.
Add the values: 9+8+8+13+12 = 50
Divide by the number of values: 50/n = 50/5 = 10
Answer: Mean = 10=======================================================
Activity 6, Problem 1
The median is the middle-most number. Think of a median of a highway or freeway.
In order to find the median, we first need to sort the data values from smallest to largest.
The original set {7,3,9,9,2,5,8} sorts to {2, 3, 5, 7, 8, 9, 9}
If we erased the first and last items, we get this smaller subset
{3, 5, 7, 8, 9}
repeat again to get
{5,7,8}
At this point its clear the middle most value is 7
But if you wanted, you could cross the first and last values from the list to end up with {7}
Answer: Median = 7=======================================================
Activity 6, Problem 2
We could do the same trick as the previous problem, but I'll use a slightly different route this time.
We'll need to sort {10,8,4,11,9} into {4, 8, 9, 10, 11}
There are n = 5 items in that set. The middle slot would be at slot n/2 = 5/2 = 2.5 = 3
The value 9 is in slot 3 of the sorted items.
Answer: Median = 9=======================================================
Activity 7, Problem 1
The mode is the most frequent value of a set. It repeats the most often.
The set {5,6,7,3,5,4} sorts to {3,4,5,5,6,7}
The value "5" shows up the most. It shows up twice when everything else shows up exactly once only.
Answer: Mode = 5=======================================================
Activity 7, Problem 2
Using the same idea in the previous problem, the set {7,4,11,9,7,3} has the mode 7 because it shows up the most of any other value.
Here's the sorted set: {3,4,7,7,9,11}
Sorting is optional with finding the mode in contrast to being mandatory when it comes to finding the median.
Answer: Mode = 7Evaluate the line integral, where c is the given curve. ∫c x sin(y)ds, c is the line segment from (0, 1) to (4, 4)
From calculations, the given integral ∫c x sin(y)ds is equal to [tex]20\left(-\frac{1}{3}\cos \left(4\right)+\frac{1}{9}\sin \left(4\right)-\frac{1}{9}\sin \left(1\right)\right)=0.806[/tex].
Integration
The integrals are the opposite of derivatives. They are used in several applications, like: calculations of areas, volumes and others.
For solving an integration, you should know its rules. For this question will be necessary to apply the following integration rules:
For constant function - ∫b dx = b ∫ dx= bx+CFor sin function - ∫sin(x) dx = cos(x) + CFor integration by parts - ∫u v dx = uv -∫v duFirst, you should calculate the segment from the points (0, 1) and (4, 4).
segment=(4-0,4-1)=(4,3).
After that you should parametrize the segment:
r(t)=(0,1)+(4t,3t)= (4t,3t+1), where 0≤t≤1
Now, you can find dr/dt.
r'(t)=(4,3)
Consequently, the magnitude of |r'(t)| will be:
|r'(t)| =[tex]\sqrt{4^2+3^2}=\sqrt{16+9}=\sqrt{25} =5[/tex]
Finally you can evaluate the integral: ∫c x sin(y)ds. From r(t), you know that x=4t and y=3t+1.
[tex]\int _0^1\:xsin\left(y\right)\:ds=\int _0^1\:4t\cdot sin\left(3t+1\right)\:\cdot 5ds=\int _0^1\:20t\cdot sin\left(3t+1\right)\:\cdot ds[/tex]
Applying the Rule Integration for a Constant.
[tex]\int _0^1\:20t\cdot sin\left(3t+1\right)\:\cdot dt\\ \\ 20\cdot \int _0^1t\sin \left(3t+1\right)dt\\ \\[/tex]
Applying the Rule Integration by Parts.
∫u v dx = uv -∫v du
u=t
dv= sin(3t +1 )dt, then v=
[tex]=20\left[-\frac{1}{3}t\cos \left(3t+1\right)-\int \:-\frac{1}{3}\cos \left(3t+1\right)dt\right]^1_0\\ \\=20\left[-\frac{1}{3}t\cos \left(3t+1\right)+\frac{1}{9}\sin \left(3t+1\right)\right]^1_0\\ \\ =20\left(-\frac{1}{3}\cos \left(4\right)+\frac{1}{9}\sin \left(4\right)-\frac{1}{9}\sin \left(1\right)\right)\\ \\ =0.806[/tex]
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The value of the integral ∫c x sin(y)ds where c is the curve is 0.806 if the line segment is from (0,1) to (4,4).
What is integration?It is defined as the mathematical calculation by which we can sum up all the smaller parts into a unit.
First, we have to calculate line segment (0,1 ) to (4, 4)
= (4-0, 4-1) = (4, 3)
Parametric form of the segment:
P(t) = (0+4t, 3t) where 0 ≤ t ≤ 1
Now differentiate the segment:
P'(t) = (4, 3)
The magnitude of the P'(t)
[tex]\rm P'(t) = \sqrt{4^2+3^2}[/tex]
P'(t) = 5
Now the integration can be evaluated from the P(t)
[tex]\rm \int\limits^1_0 {xsin(y)} \, ds = \int\limits^1_0 {4tsin(3t+1)} \, 5ds[/tex] ( x= 4t, y = 3t+1)
[tex]\rm \int\limits^1_0 {xsin(y)} \, ds = 20\int\limits^1_0 {tsin(3t+1)} \, ds[/tex]
The value of the integration:
[tex]\rm \int \limits^1_0 {tsin(3t+1)} \, ds = 0.040[/tex]
[tex]\rm \int\limits^1_0 {xsin(y)} \, ds = 20(0.04)[/tex]
[tex]\rm \int\limits^1_0 {xsin(y)} \, ds =0.806[/tex]
Thus, the value of the integral ∫c x sin(y)ds where c is the curve is 0.806 if the line segment is from (0,1) to (4,4).
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Need help with b please and thank you (lots of points)
Answer:
17.34 years
Step-by-step explanation:
The equation you wrote in the first part of the problem can be solved for the value of t that makes the population be 5000.
[tex]P(t)=\dfrac{10000}{1+11.5e^{-0.1408614477t}}[/tex]
Setting this equal to 5000 and multiplying by the denominator, we have ...
[tex]5000=\dfrac{10000}{1+11.5e^{-0.1408614477t}}\\\\5000+57500e^{-0.1408614477t}=10000\\\\e^{-0.1408614477t}=\dfrac{5000}{57500}\qquad\text{subtract 5000, divide by 57500}\\\\-0.1408614477t = \ln{\dfrac{1}{11.5}}=-\ln(11.5)\qquad\text{take logs}\\\\t=\dfrac{\ln(11.5)}{0.1408614477}\approx17.3386[/tex]
For the population to reach 5000, it will take about 17.34 years.
_____
Additional comment
The value -0.14086... is the natural log of the ratio 1818/2093. This means the "exact answer" is ln(11.5)/(ln(2093) -ln(1818)), an irrational number.
A graphing calculator can answer the question easily.
James correctly proves the similarity of triangles DAC and DBA as shown.
HELP PLSSSS ASAP
Answer:
AA similarity postulate
Step-by-step explanation:
Triangles are similar if corresponding angles are congruent or if corresponding sides are proportional.
Here, the missing reason in the proof follows a step in which two angles are shown congruent. That means you can claim similarity by the AA similarity postulate.
__
Additional comment
The similarity postulates include ...
AA -- two corresponding angles (the third angle is determined by these two)
SSS -- three proportional corresponding sides
AAS -- two congruent angles and a proportional corresponding side
ASA -- a variation of AAS
SAS -- proportional corresponding sides flanking a congruent angle
With the exception of AA, these are the same postulates as used to prove triangle congruence when the corresponding sides are congruent, rather than proportional.
which shapes best model the surface areas of the object? What is the surface are of each object, based on it’s model?
The sales tax is $14 per
$100 What percent is the
sales tax? Show your
work.
NEED HELP ASAP PLEASE
Answer:
14%
Step-by-step explanation:
lets whip out that EPIC CALCULATOR! alright so i hope that you have your calculator with you, whether it is a physical one or a digital one on your computer.
try this:
enter 14, then the division sign ( could be a ÷ or an / ) and then 100.
what do we get?
0.14
ok, now lets multiply this by 100 to get the PERCENT instead of the DECIMAL, and we get
14%
EPIC!
HELP PLEASE!! <3
i honestly don't understand what they want me to do here
Answer:
(a)
Step-by-step explanation:
the equation of a circle centred at the origin is
x² + y² = r² ( r is the radius )
x² + y² = 20 ← is in this form , then
centre = (0, 0 ) and r = [tex]\sqrt{20}[/tex] = [tex]\sqrt{4(5)}[/tex] = [tex]\sqrt{4}[/tex] × [tex]\sqrt{5}[/tex] = 2[tex]\sqrt{5}[/tex]
Can someone please help me with this?
Answer:
[tex]403.06 cm^2; 100.77cm^2[/tex]
Step-by-step explanation:
Ok, step 1. What's the measure of the internal angle of a dodecagon? After some splitting in triangles you get that's [tex](n-2)\pi = 10\pi[/tex]. That makes each angle measure [tex]\frac{10}{12}\pi[/tex].
That allows us to split the whole figure in 12 isosceles triangles with (congruent) angles of [tex]\frac5{12}\pi[/tex]. Consider just one, red in my picture. The height of that triangle - orange "vertical" line - can be found with some trigonometry as [tex]3tan \frac5{12}\pi \approx 11.2 cm[/tex]
At this point one triangle has area [tex]\frac12 \cdot 6\cdot 11.2 = 33.6 cm^2[/tex] and the whole cookie has area as 12 triangles [tex]403.06 cm^2[/tex].
After her eating spree, you're left with 3 triangles, for a grand total of [tex]100.77 cm^2[/tex]
don’t even know how i got this far in geometry lol
[tex]\qquad\qquad\huge\underline{{\sf Answer}}☂[/tex]
Let's find the Area of sector ~
[tex]\qquad \sf \dashrightarrow \: \dfrac{ \theta}{360} \times \pi{r}^{2} [/tex]
[tex]\qquad \sf \dashrightarrow \: \dfrac{ 270}{360} \times \pi{6}^{2} [/tex]
[tex]\qquad \sf \dashrightarrow \: \dfrac{ 3}{4} \times {36}^{} \pi[/tex]
[tex]\qquad \sf \dashrightarrow \:3 \times 9 \pi[/tex]
[tex]\qquad \sf \dashrightarrow \:27\pi \: \: ft {}^{2} [/tex]
Find the radius of a circle with area of 452.4 mi2
Answer:
r≈12mi
Step-by-step explanation:
mark brainiest and Im 100% correct
Compare the quantity in column A with the quantity in column B. Choose the best answer.
The quantity in column A is greater.
The quantity in column B is greater.
The two quantities are equal.
The relationship cannot be determined from the information given.
Answer:
(c) The two quantities are equal.
Step-by-step explanation:
The sine of an angle is equal to the cosine of its complement. In a right triangle, the acute angles are complementary, which means ...
sin(A) = cos(B)
The two quantities are equal.
Answer:
Step-by-step explanation:
Sin(A) = opposite / hypotenuse
opposite = 4
hypotenuse = 5
Sin(A) = 4/5 = 0.8
Cos(B) = adjacent / hypotenuse.
adjacent = 4
hypotenuse = 5
Cos(B) = 4/5 = 0.8
Believe it or not, this will always happen if you take Sin(A) and find that Cos(90 - A) are equal
Take a simpler case. Suppose you are working with a 30 60 90 triangle.
Cos(60) = Sin(90 - 60) = 1/2
Question Find the cube root. -125 divided by 3
Answer:
First of all multiply 5 in three times
What is the solution to the problem expressed to the correct number of significant figures? 15. 11 (142 × 16. 5) = ? A. 2,358 B. 2,358. 1 C. 2,360 D. 2,400.
The solution to the problem expressed 2358.
What is the meaning of significant figure?Significant figure It is defined as the minimum number of digit us needed to express a number in scientific notation.
Therefore we get,
[tex]15.11+(142\times16.5)[/tex]
First we have to multiply the given digits as per rule.
[tex]=15.11+2343[/tex]
Now we will add both the digits, we get
[tex]=2358.11[/tex]
As per given expression, we conclude that the number of significant figure is 4.
So, the answer will be, 2358.
Therefore, the correct option is, 2358.
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Use the Parabola tool to graph the quadratic function.
f(x)=3x^2−6x+5
Graph the parabola by first plotting its vertex and then plotting a second point on the parabola.
graphed below:
[tex]\sf f(x)=3x^2-6x+5[/tex]
vertex: (1, 2)cuts y-axis: (0, 5)Answer:
Given function: [tex]f(x)=3x^2-6x+5[/tex]
Vertex form: [tex]y=a(x-h)^2+k[/tex]
(where [tex](h, k)[/tex] is the vertex)
Expand vertex form:
[tex]y=ax^2-2ahx+ah^2+k[/tex]
Compare coefficients of given function with expanded vertex form
Comparing coefficient of [tex]x^2[/tex]:
[tex]3=a[/tex]
Comparing coefficient of [tex]x[/tex]:
[tex]\ \ \ \ \ -6=-2ah\\\implies-6=-2 \cdot 3h\\\implies -6=-6h\\\implies h=1[/tex]
Comparing constant:
[tex]\ \ \ \ \ \ 5=ah^2+k\\\implies5=3(1)^2+k \\\implies 5=3+k\\\implies k=2[/tex]
Therefore, the vertex is (1, 2)
As the leading coefficient is positive, the parabola will open upwards.
Additional plot points:
[tex]f(0)=3(0)^2-6(0)+5=5[/tex]
[tex]f(2)=3(2)^2-6(2)+5=5[/tex]
(0, 5) and (2, 5)
Rewrite as a simplified fraction. 2.888... = ?
fractional number equivalent of 2.888 is
[tex] \frac{361}{125} or 2 \frac{111}{125} [/tex]Answer:
[tex]\frac{26}{9}[/tex] or [tex]2 \frac{8}{9}[/tex]
Step-by-step explanation:
Let x equal the decimal. Set up two equations such that the digits after the decimal point are identical.
10x = 28.8888...
x = 2.8888...
Subtracting the two equations, we have:
9x = 26
A cylinder has a volume of 320 pi cubic inches and a height of 5 inches what is the radius
Answer:
As Per Provided Information
A cylinder has a volume of 320 pi cubic inches and a height of 5 inches.
We have been asked to determine the radius of the cylinder .
Using Formulae
[tex] \purple{\boxed {\bf\: Volume_{(Cylinder)} = \pi {r}^{2}h}}[/tex]
Substituting the value and let's solve for radius .
[tex] \sf \qquad \longrightarrow \: 320 \pi \: = \pi \: \times r {}^{2} \: \times 5 \\ \\ \\ \sf \qquad \longrightarrow \:320 \cancel{\pi} = \cancel{ \pi} \times r {}^{2} \: \times 5 \\ \\ \\ \sf \qquad \longrightarrow \:320 = r {}^{2} \: \times 5 \\ \\ \\ \sf \qquad \longrightarrow \:r {}^{2} \: = \cfrac{320}{5} \\ \\ \\ \sf \qquad \longrightarrow \: {r}^{2} = \cancel\cfrac{320}{5} \\ \\ \\ \sf \qquad \longrightarrow \: {r}^{2} = 64 \\ \\ \\ \sf \qquad \longrightarrow \:r \: = \sqrt{64} \\ \\ \\ \sf \qquad \longrightarrow \:r \: = 8 \: inch[/tex]
Therefore,
Radius of cylinder is 8 Inches .