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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I WILL GIVE BRAINLEIST(I NEED THIS RIGHT OR I HAVE TO START OVER)
Answer:
It’s irrational hope this is correct
Step-by-step explanation:
Answer:
rational
Step-by-step explanation:
Convert both to decimals
[tex]\\ \rm\Rrightarrow x=0.147147\dots [/tex]
[tex]\\ \rm\Rrightarrow 1000x=147.147..[/tex]
Hence..
999x=147x=147/99On similar way we can get second one
So if
p/q and r/s [tex]\in [/tex]QThen
pr/qs also rationalPlease help with this
For the hole in the above triangular, the area that we need is the area of the rectangular hole i.e length times breadth that is 3 × 2 = 6
Hence, 6 sq. ft. carpet will be needed
5. A box contains 4 white balls and 6 yellow balls. A ball is drawn at random from the box and is not replaced. What is the probability that both balls are white?
8/45
3/25
4/25
2/15
Answer:
2/15
Step-by-step explanation:
Given:
A box contains 4 white balls and 6 yellow balls. A ball is drawn at random from the box and is not replaced. What is the probability that both balls are white?
8/45
3/25
4/25
2/15
Solve:
Knowing that total = 10 { 4 white balls and 6 yellow balls}
P(first white)=4/10=2/5 { 4 out of 10 balls are white}
P(second white)=3/9=1/3 { 3 out of 9 balls are white; Since no replaced}
P(both white)=2/5 × 1/3=2/15
Hence, Answer = 2/15
Lenvy~
HELP PLEASEE, ILL BRAINLIST!!
Answer:
(a) To find the missing angle, we would do inverse tan.
[tex]angle =tan^{-1}\frac{opp}{adj}[/tex]
[tex]angle = tan^{-1}\frac{17}{21}[/tex]
angle= 39.0 degrees or 0.7 radians
(b) To find the missing angle, we would do inverse sin.
[tex]angle= sin^{-1}\frac{opp}{hyp}[/tex]
[tex]angle= sin^{-1}\frac{12.7}{22.1}[/tex]
angle= 35.1 degrees or 0.6 radians
What is the value of x? E Enter your answer in the box.
Step-by-step explanation:
Right away i notice the 45° angle and the 90° angle in triangle RTQ, this means that the remaining angle must be 180-(90+45)=45°.
If it isn't obvious yet, triangle RTQ is a right isosceles triangle where RT=RQ=x.
Now looking at my other triangle RST
I know that RT=x, RS=2√3 and ST is unknown.
So i cannot apply my Pythagorean theorm.
HOWEVER i do notice 60 degree angle and the 90 degree angle, which means that the last angle must be 180-(90+60)=30° and this triangle (RST) must be a half equilateral triangle;,
Now i can use the relation which describes the relation between the hypotenuse(x) and the side opposite or facing the 60° angle (RS=2√3).
RS=x√3/2
2RS=x√3
2×2√3=x√3
4√3=x√3
4√3/√3=x
x=4 :P
The principle quantum number value for the valance electron in the element n
Quantum numbers describe the states of electrons in their respective orbitals in an atom.
What is a Quantum number?Quantum numbers are mathematical descriptions that show the possible states of an electron.
There are four types of quantum number
principal quantum number (n)
angular momentum quantum number (l)
magnetic quantum number (ml)
spin quantum number (ms)
The values for the principal quantum number (n) are integers greater than zero.
The values for the angular momentum quantum number (l) are integers from 0 to n - 1.
The values for the magnetic quantum number (ml) are integers from -l to l.
The values for the spin quantum number (ms) are -1/2 and 1/2.
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Congruent vs. Similar Triangles
I really need an explanation on how to do this
Answer:
Cross multiply
Step-by-step explanation:
PLEASE HELP!! 100 POINTS
Consider this dilation.
(a) Is the image of the dilation a reduction or an enlargement of the original figure? Explain.
(b)What is the scale factor? Explain and show your work.
The red figure is the original and the green the dilation. We know this because the dilated points are marked with '.
Therefore, we can see that the dilation is a reduction of the original figure. The figure got smaller in size after the dilation.
To find the scale factor, we'll need to look at a few of the points before and after the dilation.
A = (-4, 4)
A' = (-2, 2)
C = (0, 4)
C' = (0, 2)
---The scale factor will be the same on all the points, which is why I have selected only 2 sets of points to look at.
Now, we can figure out the scale factor by thinking about how -4 got to -2, how 4 got to 2. In this case, it is simply dividing by 2. The scale factor must be in multiplication, so we cannot use division in reporting the scale factor, it must be a fraction.
2 / 4 = 1 / 2
The scale factor, therefore, is 1/2.
Hope this helps!
Answer:
a) A reduction.
b) 0.5 or 1/2
Step-by-step explanation:
a) The new points are indicated by the ' next to the letters. By observing the graph, we can see that new points have lessened, and therefore shrank the dialtion, so it is a reduction.
b) On each point, it is reducted by 0.5.
Point A went down from 4 to 2, which is half of 4.
Point B went down from -2 to -1, which is half of -2.
Point C went down from 4 to 2, which is half of 4.
Point D went down from 8 to 4, which is half of 8.
hope this helps!
The charge of an atom is the sum of the charges of its protons, neutrons, and electrons.
• Each proton has a charge of e.
• Each neutron has a charge of 0.
Each electron has a charge of -e.
An atom consists of 6 protons, 10 neutrons, and 4 electrons.
How many electrons would need to be added to make the charge of the atom 0?
Answer:
2 electrons
Step-by-step explanation:
2 electrons is the answer
If u need explanation do mention in comments
Answer:
*2 electrons more*
Explanation:
In an atom the number of electron and protons must be same.Otherwise, it will have charge and form ions. [ ignore the neutrons ]
Here,
protons: 6electrons: 4The electron and proton is unbalanced, In order to make them same.
2 more electrons need to be added to make total 6 electrons.
What is the following product?
3V24•3V45 3V69 4(3V6) 6(3V5) 6(3V10)
Answer:
option 3
Step-by-step explanation:
6(3√5)
a)0.76×0.004
b)0.078÷0.5
c)0.834+0.79
d)0.0034-0.0078
What is the product of 1.0 x 102 and 1.8 x 103 expressed in scientific notation?
Answer:
[tex]1.8 \text{ x } 10^5[/tex]
Step-by-step explanation:
Hello!
To multiply terms, we multiply the like terms.
Like terms:
Like terms are terms with the same degree or base. In this example, 1 and 1.8 are like terms by degree, and 10² and 10³ are like by base.
Multiply:
(1 x 10²)(1.8 x 10³)(1 x 1.8)(10² x 10³) --> exponeent rule: a^b * a^c = a^(b+c)1.8 x 10^5That's your solution! 1.8 x 10^5
Write an expression for the cost per person if five friends share the cost of a dinner equally.
Answer:
Let c=cost of dinner, 5=the # of people, and P=the cost of person
P=C/5
b. P = (1000)/5
P = 200
Step-by-step explanation:
A rectangular prism has a base area of 23 cm² and a height of 6 centimeters. What is the volume of the prism?
Enter your answer in the box.
cm³
Answer:
Answer is 138
Step-by-step explanation:
I took the test and it was 138
A video game map had a total area of 16 square meters. What are two numbers that could represent the length and the width of the map?
Answer:
4 and 4
Step-by-step explanation:
4 times 4 is 16 which would equal the area.
Which of the following represents 5 + 10? Mark all that apply.
if y=5x-3, find the value of y when x=0
Answer: [tex]Y=-3[/tex]
Step-by-step explanation:
[tex]Y=5x-3[/tex]
[tex]Y=5 * (x) -3[/tex]
Then replace x by 0
[tex]Y=5 * (0) -3[/tex] or [tex]Y= 5(0) -3[/tex]
[tex]Y=0 -3[/tex]
[tex]Y=-3[/tex]
Is .26 greater than or less than 20/75
Answer:
20/75 is lesser than 26
Step-by-step explanation:
Hope this helps U
Answer:
Less than
Step-by-step explanation:
Simply convert 20/75 and compare the two:
0.26 O .266666666666666666666666
0.26 < .2666666666666666666666666
Therefore, 0.26 is less than 20/75
Use the image below to find the missing side lengths.
Answer:
Step-by-step explanation:
please help me write quadratic equation given the roots and the leading coefficient
Answer:
Example Question: f(x) = 2x^2 + 2x - 1
If the leading coefficient is positive, the graph will be opening up (U) if the leading coefficient is negative, the graph will be opening down (n)
Roots are the x-intercepts that help find the axis of symmetry (add the two roots together and divide the result by 2 to get the axis of symmetry)
To find the vertex, simply imput the axis of symmetry into the given equation.
And that’s about it.
Step-by-step explanation:
I don’t know what you’re asking for??
A researcher collated data on Americans’ leisure time activities. She found the mean number of hours spent watching television each weekday to be 2. 7 hours with a standard deviation of 0. 4 hours. Jonathan believes that his football team buddies watch less television than the average American. He gathered data from 15 football teammates and found the mean to be 2. 3. Which of the following shows the correct z-statistic for this situation? -3. 87 -0. 26 3. 23 5. 22.
The value of the z statistic for the considered data is given by: Option A: -3.87 approximately.
How to find the z score (z statistic) for the sample mean?If we're given that:
Sample mean = [tex]\overline{x}[/tex] Sample size = n Population mean = [tex]\mu[/tex] Sample standard deviation = sThen, we get:
[tex]z = \dfrac{\overline{x} - \mu}{s}[/tex]
If the sample standard deviation is not given, then we can estimate it(in some cases) by:
[tex]s = \dfrac{\sigma}{\sqrt{n}}[/tex]
where [tex]\sigma[/tex]population standard deviation
For this case, we're specified that:
Sample mean = [tex]\overline{x}[/tex] = 2.3Sample size = n = 15Population mean = [tex]\mu[/tex] = 2.7Population standard deviation = [tex]\sigma[/tex] = 0.4Thus, the value of the z-statistic is evaluated as:
[tex]z = \dfrac{\overline{x} - \mu}{\sigma/\sqrt{n}} = \dfrac{2.3- 2.7}{0.4/\sqrt{15}} \approx -3.87[/tex]
Thus, the value of the z statistic for the considered data is given by: Option A: -3.87 approximately.
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Philip is a football player who runs a pass route that takes a right angle bend as shown in the diagram below. Which do you think will have the greater magnitude; the average speed or the average velocity? explain why
Answer:
Average velocity
Step-by-step explanation:
The average speed is only different from average velocity because it has direction.
The average speed will be calculated with the hypotenuse A_C, but average velocity will be calculated with the two directions AB_BC.
your dog weighs 18 kilograms. the medication dosage is 1 milliliter per every 10 pounds. rounded to the nearest milliliter, how many milliliters of medication should you give your dog? 1 kilogram = 2.2 pounds
A) 2mL
B) 3mL
C) 4mL
D) 5mL
Answer:4mL
Step-by-step explanation: if you multiply 18 by 2.2 you would get 39.6, you would divide by 10 to get 3.96, then you would round to the nearest whole number so you’d get 4.
By using a change of units, we will see that the dog needs 4 mL of medication.
How many milliliters of medication should you give your dog?
Here we need to see how many pounds are in 18 kilograms, using the relation:
1kg = 2.2lb
We get:
18 kg = 18*(2.2lb) = 39.6 lb
Now, for each 10 lb, we add 1mL of medication, then we need to divide the mass of the dog by 10lb, we get:
M = (39.6 lb)/(10 lb) = 3.96
Rounding to the next whole number we get 4, so the dog needs 4 mL of medication.
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please help with the word problem
Answer:
10 mins
Step-by-step explanation:
i hope this helps
Answer:
10 minutes.
Step-by-step explanation:
10 x 3 is 30.
Can someone please help with this? I'll give brainliest. I don't understand this... or the explanation it gives... the page before was just teaching how to solve simple problems to put on graphs what's an asymptote?
Step-by-step explanation:
Hello!
I'd love to help you learn.
I see the formula attached is [tex]4*(\frac{1}{2})^{x} =-2^{x}-1\\[/tex]
This problem is explaining you to graph, since algebraically it's a little more harder to try and find the solution.
Since they're both equal to each other, we can assign a variable like y, so we can make them into two individual lines.
You can use your scientific calculator to graph lines like this, or otherwise there are online sources (Desmos helps alot!) which can graph two equations as so.
Now that we have the corresponding system of equations, we can graph both.
[tex]y=4*(\frac{1}{2})^x\\ y=-2^x-1[/tex]
Let's graph them on Desmos on the same plane. The answers are attached. Red is the first equation, blue is the second.
What determines the solutions of a system of equations?
-No solution: the two lines will never intersect/does not intersect ever, which means that there are no set point where it satisfies both equations.
-One solution: the two lines intersect once and only once, meaning that there is that one set point where the x and y values both satisfy both equations.
-Multiple solutions: the two lines will intersect each other multiple times, meaning there are multiple set points where the x and y values satisfy both equations. You usually will not have to worry about these problem sets.
-Infinite solutions: the two lines are both the same line, which means every x and y value will satisfy both equations.
Looking at the solution attached, we can see that there are no places where a system of equations intersect, therefore ruling it that they have no solution.
And to answer your last question, an asymptote is a imaginary line in which a equation can approach closely and closely, but will never touch that imaginary line. Think of a line at y=[tex]\frac{1}{x}[/tex]. When you graph it, you can see that the two lines never ever EVER intersect the y-axis, or x=0; giving that x=0 as a vertical asymptote.
(systems of equations word problem)
ms. arrington has been raising money to take her classroom to the zoo. she has raised $580. the zoo has allowed all the adults to enter the zoo at a flat rate of $75 for all. if each student ticket costs $8.50, what is the maximum number of students allowed to attend the field trip?
a 59 students
b 60 students
c 58. students
d 61 students
Answer:
C
Step-by-step explanation:
All you have to do is divide 580 by 8.50 to easily distribute the money to each student equally.
Which function is a quadratic function? u(x) = –x 3x2 – 8 v(x) = 2x2 8x3 9x y(x) = x2 3x5 4 z(x) = 7x2 2x3 – 3.
The function [tex]u(x)=-x+3x^{2} -8[/tex] is a quadratic function due to the highest exponent being 2.
Given functions are:
[tex]u(x)=-x+3x^{2} -8[/tex]
[tex]v(x)=2x^{2} +8x^3+9x[/tex]
[tex]y(x)=x^{2} +3x^5+4[/tex]
[tex]z(x) =7x^{2} +2x^3-3[/tex]
What is a quadratic function?A function of the form [tex]f(x)=ax^{2} +bx+c[/tex] with [tex]a\neq 0[/tex] is called a quadratic function means the highest exponent of polynomial should be 2.
Let us check one by one.
[tex]u(x)=-x+3x^{2} -8[/tex]
Highest exponent =2
The function is also of form [tex]f(x)=ax^{2} +bx+c[/tex] so u(x) is a quadratic function.
The functions v(x), y(x), and z(x) are having highest exponents as 3,5, and 3 respectively so they are not quadratic functions.
Hence, the function [tex]u(x)=-x+3x^{2} -8[/tex] is a quadratic function due to the highest exponent being 2.
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NEED HELP WITH NUMBER 4! GIVING BRAINLIEST AND 20 POINTS TO BEST ANSWER. GIVE MODELS IF U CAN! THANKS! YOU CAN DO IT! :D
Answer:
10/21
Step-by-step explanation:
5
7
+
2
3
=
5 × 3
7 × 3
+
2 × 7
3 × 7
=
15
21
+
14
21
=
15 + 14
21
=
29
21
=
1 8
21
[tex]Hello[/tex] [tex]There![/tex]
Let's do this step-by-step explanantion!
[tex]\frac{5}7}[/tex] × [tex]\frac{2}{3}[/tex]
Apply the fraction rule:
[tex]\frac{5x2}{7 x 3}[/tex]
Multiply the numbers: [tex]5[/tex] × [tex]2=10[/tex]
[tex]=\frac{10}{7 x 3}[/tex]
Again, Multiply the numbers: [tex]7[/tex] × [tex]3=21[/tex]
[tex]=\frac{10}{21}[/tex]
Answer:
[tex]\frac{10}{21}[/tex]
Also, sorry. I wasn't able to give you a model.
Hopefully, this helps you!!
[tex]OwoSokka[/tex]
Order of operations 5-2(5-27)+5
The answer to your question would be 54
Work Shown:
5-2(5-27+5
Calculate with parenthesis (5-27): -22
5-2(-22)+5
Multiply and divide (left to right) 2(-22): -44
5-(-44)+5
Add and subtract (left to right) 5-(-44)+5
54
Find the area of a triangle
Answer:
240 feet
Step-by-step explanation:
The formula for finding the area of a triangle is: [tex]\frac{1}{2}bh[/tex], where [tex]b[/tex] stands for the base and [tex]h[/tex] stands for the height.
In this case, 20 is our height, and 24 is our base. Let's plug that into the formula.
[tex]1/2(20)(24)\\1/2(480)\\240[/tex]
Therefore, the area of the triangle is 240 feet.
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