Answer:
The answer is below
Step-by-step explanation:
Given that:
The mean (μ) one-way commute to work in Chowchilla is 7 minutes. The standard deviation (σ) is 2.4 minutes.
The z score is used to determine by how many standard deviations the raw score is above or below the mean. It is given by:
[tex]z=\frac{x-\mu}{\sigma}[/tex]
a) For x < 2:
[tex]z=\frac{x-\mu}{\sigma}=\frac{2-7}{2.4} =-2.08[/tex]
From normal distribution table, P(x < 2) = P(z < -2.08) = 0.0188 = 1.88%
b) For x = 2:
[tex]z=\frac{x-\mu}{\sigma}=\frac{2-7}{2.4} =-2.08[/tex]
For x = 11:
[tex]z=\frac{x-\mu}{\sigma}=\frac{11-7}{2.4} =1.67[/tex]
From normal distribution table, P(2 < x < 11) = P(-2.08 < z < 1.67 ) = P(z < 1.67) - P(z < -2.08) = 0.9525 - 0.0188 = 0.9337
c) For x = 11:
[tex]z=\frac{x-\mu}{\sigma}=\frac{11-7}{2.4} =1.67[/tex]
From normal distribution table, P(x < 11) = P(z < 1.67) = 0.9525
d) For x = 2:
[tex]z=\frac{x-\mu}{\sigma}=\frac{2-7}{2.4} =-2.08[/tex]
For x = 5:
[tex]z=\frac{x-\mu}{\sigma}=\frac{5-7}{2.4} =-0.83[/tex]
From normal distribution table, P(2 < x < 5) = P(-2.08 < z < -0.83 ) = P(z < -0.83) - P(z < -2.08) = 0.2033- 0.0188 = 0.1845
e) For x = 5:
[tex]z=\frac{x-\mu}{\sigma}=\frac{5-7}{2.4} =-0.83[/tex]
From normal distribution table, P(x < 5) = P(z < -0.83) = 0.2033
Which of the following equations is equivalent to
Answer:
4a - 40 = 1
Step-by-step explanation:
4/5 a - 8 = 1/5
Multiply each side by 5 to clear the fractions
5(4/5 a - 8) = 1/5 *5
distribute
4a - 40 = 1
how do i find x?
is the formula
"the sum of exterior angles=360°" false for concaved polygons?
Answer:
To find x you need to divide polygon into trianglesThe formula : "the sum of exterior angles=360°" is false for concaved polygonsStep-by-step explanation:
α = 180° - 135° = 45°
β = 180° - 120° = 60°
γ = 180° - 60° = 120°
δ = 180° - x
ε = 180° - 80° = 100°
If we divide the pentagon into five triangles then:
5•180° = α + β + γ + δ + ε + 4x
900° = 45° + 60° + 120° + x + 100° + 4x
900° = 325° + 5x
5x = 575°
x = 115°
60° + 120° + 135° + 80° + 115° = 510° ≠ 360°
Which of the following is a key property of the quadratic parent function?
Answer: B
Step-by-step explanation:
Quadratic parent function is y=x^2 which means the vertex is the origin because if you input 0 into the function you will get an output of zero. (0,0) is the origin which is where the graph intersect.
-2x+3=9. What does x equal?
Answer:
x= -3Step-by-step explanation:
[tex] - 2x + 3 = 9 \\ - 2x = 9 - 3 \\ - 2x = 6 \\ \frac{ - 2x}{ - 2} = \frac{6}{ - 2} [/tex]
[tex]x = - 3[/tex]
Answer: x = -3
Step-by-step explanation: To solve for x, we must first isolate the term containing x which in this problem is -2x.
Since 3 is being added to -2x, we subtract 3 from
both sides of the equation to isolate the -2x.
On the left, the +3 and -3 cancel out and on the right, 9 - 3 is 6.
So we have -2x = 6.
Now we can finish things off by just dividing
both sides of the equation by -2.
On the left the -2's cancel and on right, 6 divided by -2 is -3.
Thus, the solution to this equation is x = -3.
Which shows how to solve the equation Three-fourths x = negative 6 for x in one step?
Answer:
x = -8
Step-by-step explanation:
Let's put this into numbers: [tex]\frac{3}{4}[/tex]x =-6
The first thing you want to do is to multiply both sides by 4:
3x=-24
Next you need to divide by 3:
x=-8
The answer is -8
Answer:
-8
Step-by-step explanation:
Let's put this into numbers: x =-6
The first thing you want to do is to multiply both sides by 4:
3x=-24
Next you need to divide by 3:
x=-8
The answer is -8
ASAP! PLEASE help me with this question!
Answer:
The last graph is the correct answer
Step-by-step explanation:
Here, we are interested in picking the correct graph that best answers the question.
Before we pick any of the graphs as our answer, it will be appropriate to solve the inequality.
-4h + 42 <34
-4h < 34-42
-4h < -8
Now divide both side by -4; kindly note that when dividing an inequality by a negative number, the sign will change
h > -8/-4
h > 2
So which of the graph best showcases this?
The correct answer is the last graph
HELP ME ASAP WITH MATH MONEY & WAGES
Answer:
96,220
Step-by-step explanation:
187,400 x .3 (30%)= 56,220
56220+40000= *96,220
Answer:
96,220
Step-by-step explanation:
187,400 x 0.3 = 56,220
56220+40000= 96,220
hope this helps, have a great day :)
the question is in the attachment...
Answer:
11 minutes. 1/4 of 44 is 11
What percent of 300 is 67?
Answer:
22.33%
Step-by-step explanation:
First, divide 67 by 300. Next, take this result and multiply it by 100
67÷300=0.2233
0.2233×100=22.33
So the answer is 22.33%
I think its D but im not sure.
Answer:
[tex]\sqrt[5]{2^3}[/tex]
Step-by-step explanation:
2 is the base
The top of the fraction is the power
The bottom of the fraction is the root
[tex]\sqrt[5]{2^3}[/tex]
Answer: A
Step-by-step explanation:
A fractional exponent can be written as a number with a radical to the power of the denominator raised to the power of the numerator. It sounds difficult, but is really very easy.
[tex]x^{\frac{4}{13} } =\sqrt[13]{x^{4} } \\x^{\frac{7}{3} } =\sqrt[3]{x^{7} } \\[/tex]
Thus, the answer is A
Which expression is equivalent to -8? A=-2^-3 B=(-1/2)^-3 C=(1/2)^-3 D=2^-3
Answer:
The answer is option B.
Step-by-step explanation:
[tex]( - \frac{1}{2} ) ^{ - 3} = ( - 2) ^{3} = - 8[/tex]
Hope this helps you
Answer:
B. (-1/2)^-3Step-by-step explanation:
B is the answer. This is because you have to calculate (-1/2)^-3 on a calculator. When I did that calculation, I got -8.
(-1/2)^-3 = (-2)^3 = -2*-2*-2 = 4 * -2 = -8
Hope this helped,
Kavitha
Pls help I'm so dumb
Answer:
C. p > -3
Step-by-step explanation:
We observe the characteristics of the shaded ray on the number line.
It goes to the right, so the inequality must be either greater than or greater than or equal to.
The circle where it starts on is open, so the inequality must not be less than or equal to or greater than or equal to.
Now, without even looking at the numbers themselves, we can find our answer.
There are four different types of inequalities, and we eliminated three of them (<, <=, >=). This leaves only one left (>). The only answer choice that uses the greater than symbol is C, so it must be our answer.
Please Help. Given a graph of a system that has exactly one solution, how would you estimate the solution to the tenths place? Explain the process.
Answer:
Sample Answer: First determine the integers the x-coordinate and the y-coordinate are between. Then look at each to decide which integer the x- or y-value is closer to, and approximate the coordinate value to the tenths place.
Step-by-step explanation:
To estimate to the tenths place, you have to determine the actual solution and the approximate.
Assume the solution to the system of equation is:
[tex]\mathbf{(x,y) = (1.25, 1)}[/tex]
1.25 is to the hundredth place.
So, the next thing is to approximate 1.25 to 1.3 (the tenth place).
So, we have:
[tex]\mathbf{(x,y) = (1.3, 1)}[/tex]
Hence, the actual solution must be approximated to the tenths place.
Read more about system of equations at:
https://brainly.com/question/12895249
Please answer question
Answer:
346.4 cm^2
Step-by-step explanation:
area = base * height/2
We can use UW as the base.
U + V + W = 180
24 + V + 36 = 180
V = 120
[tex] \dfrac{\sin W}{UV} = \dfrac{\sin V}{UW} [/tex]
[tex] \dfrac{\sin 36^\circ}{34} = \dfrac{\sin 120^\circ}{UW} [/tex]
[tex] UW = \dfrac{34\sin 120^\circ}{\sin 36^\circ} [/tex]
[tex] UW = 50.1 [/tex]
Now drop a perpendicular from V to UW to be the height, h.
[tex]\sin 24^\circ = \dfrac{h}{UV}[/tex]
[tex] \sin 24^\circ = \dfrac{h}{34} [/tex]
[tex] h = 34 \sin 24^\circ [/tex]
[tex] h = 13.8 [/tex]
area = base * height/2
area = UW * h/2
area = 50.1 cm * 13.8 cm/2
area = 346.4 cm^2
What is the average rate of change for this exponential function for the
interval from x = 2 to x = 4?
O A. -6
O B. -12
O C. 12
O 0.6
Answer:6 a p e x
Step-by-step explanation:
What is the angle formed by the line y=2x−1 and x-axis?
Answer:
63.4°
Step-by-step explanation:
y = 2x - 1
dy/dx = 2
∴ The angle is arc tan(2) = tan^-1(2) = 63.4°
In the next three questions, complete the proof of Theorem 31 (Opposite angles of a parallelogram are congruent.) by selecting the best reason or statement.
Answer:
see attached figure
Step-by-step explanation:
table completed. See figure
y = 5x + 4
Write two ordered pairs (x, y) that are solutions
Write two ordered pairs (x, y) that are NOT solutions
Answer:
Correct (1,9), (2,14)
Incorrect (1,8),(2,13)
Step-by-step explanation:
It is simple.
To find the correct values plug a x value.
For Example;
X=1
y=5(1)+4
y=5+4
y=9
so your X value is 1 and your Y value is 9
To solve for the incorrect values
Find the correct values and subtract 1 form the Y value.
Please solve i will give brainiest 100 point question ****** do the whole page please need to pass or i will fail its my final test
Answer:
1. Find the difference between the areas.
Area of the small rectangle: [tex](x+2)(x+7)=x^2+7x+2x+14=x^2+9x+14[/tex]
Area of the big rectangle: [tex](x+9)(x+11)=x^2+11x+9x+99=x^2+20x+99[/tex]
The difference is: [tex]11x+85[/tex]
[tex]( x^2+20x+99)- (x^2+9x+14)=x^2+20x+99-x^2-9x-14=11x+85[/tex]
2.
You can solve this question just by looking at the graph.
a) The height is 4 meters.
[tex]f(d)=h=-2d^2+7d+4[/tex]
To find the height of the bleachers, we should consider the moment before the shoot, when the distance is equal to 0.
[tex]f(0)=h=-2(0)^2+7(0)+4[/tex]
[tex]h=4[/tex]
The height is 4 meters.
b) 9 meters.
For [tex]d=1[/tex]
[tex]f(1)=h=-2(1)^2+7(1)+4[/tex]
[tex]f(1)=h=-2+7+4[/tex]
[tex]h=9[/tex]
b) The ball travels 4 meters.
But to calculate it, it is when [tex]h=0[/tex]
[tex]0=-2d^2+7d+4[/tex]
Using the quadratic formula:
[tex]$d=\frac{-b\pm \sqrt{b^2-4ac}}{2a}$[/tex]
[tex]$d=\frac{-7 \pm \sqrt{7^2-4\left(-2\right)4}}{2\left(-2\right)}$[/tex]
[tex]$d=\frac{-7\pm\sqrt{81}}{-4}$[/tex]
[tex]$d=\frac{-7\pm9}{-4}$[/tex]
It will give us to solutions, once it is a quadratic equation, but we are talking about a positive distance.
[tex]$d=-\frac{1}{2} \text{ or }d=4$[/tex]
3.
In this question, we have to find the area of the cylinder and the sphere.
From the information given, we have
a = 5mm and d = 5mm, therefore the radius is 2.5 mm.
The volume of a cylinder:
[tex]V=\pi r^2h[/tex]
[tex]V=\pi (2.5)^2 \cdot 5[/tex]
[tex]V=31.25 \pi[/tex]
[tex]V_{c} \approx 98.17 \text{ m}^3[/tex]
The volume of the sphere:
[tex]$V=\frac{4}{3} \pi r^2$[/tex]
[tex]V_{s} \approx 65.4 \text{ m}^3[/tex]
The volume of the capsule is approximately [tex]163.57 \text{ m}^3[/tex]
Please help ive been trying and i just cant get it right
B. In each of the following questions, find the smallest number by which it should be multiplied to get
a perfect square. Find the square root of the perfect squares so obtained.
(a) 392
(b) 216
(c) 11.045
(d) 3,698 (e) 11,094
Answer:
a)19²=361
b)14²=196
c)3²=9
d)60²=3600
e)105²=11025
Step-by-step explanation:
I I don't know if this is correct sorry.
David scored points less than six times the number of points Rich scored in a video game. If represents the number of points scored by Rich, write an expression representing the number of points scored by David.
Answer:
David scored : 24 < 6x = 0
Step-by-step explanation:
From the information given;
David scored ??? points less than six times the number of points Rich scored in a video game.
If ??? represents the number of points scored by Rich
The objective is to write an expression representing the number of points scored by David.
since the value of David points and Rich letter representing the number of points scored by RIch are not given, Let's based our calculation on assumptions, the main thing is to understand the the process in solving the question.
Assumption:
Let assume that,
David scored 24 points and x should be the number of points scored by Rich
Then; the linear equation representing David score is:
David scored : 24 < 6x = 0
These box plots show daily low temperatures for a sample of days in two different towns.
The distribution for town A is positively skewed, but the distribution for town B is symmetric.
============================================================
Explanation:
The length of the whiskers tell us if we're dealing with a symmetric distribution, or a skewed distribution. For town A, the right whisker is longer than the left whisker. So this distribution is positively skewed. We can say it is skewed to the right, or right skewed.
Town B has whiskers of equal length. In addition, the two distances inside the box are equal to one another. We have a perfectly symmetric distribution. One half is a mirror copy of the other half.
Answer:
Hey there!
This is a box and whisker plot, and since the right whisker is longer, this is positively skewed. (For town A)
This is also a box and whisker plot, and since it is even on both sides, it is symmetric.
Hope this helps :)
Josephine is going on a run around the lake. She knows the distance around the lake, but she would like to complete her run
in a certain amount of time. Josephine knows she can used the formula d = rt.
Which equation correctly rearranges the formula to find the time it will take her to run around the lake?
A. T= d/r
B. T= r/d
C. T=d + r
D. T=d-r
Hey there! I'm happy to help!
We want to see which of the formulas is a correct rearrangement of d=rt. To figure this out, we will solve each of our answer options for d. If d is equal to rt, then that option is the correct rearrangement.
OPTION A
t=d/r
We flip the equation around so d is on the left side.
d/r=t
We multiply both sides by r.
d=tr
Using the associative property, we see that d=tr is the same thing as d=rt.
We immediately see that this is the correct option. Therefore, the answer is A. T=d/r.
From the original d=rt, equation, we see that they solved for t by dividing both sides by r, giving you t=d/r.
Have a wonderful day! :D
sinxcosy=1/2(sin(x+y)+cos(x-y))
True or False?
Thanks for the help!
Answer:
False
Step-by-step explanation:
To be able to answer this, we will need to make a reference to the sum and product formula.
What we have in the question is the product and we want to see if the sum correlates.
Using the sum formula, we have the value on the right hand side as;
(1/2)[sin(x+y)+sin(x-y)]
Seeing that the expression we have here is not equal to that which was given, we can conclude that the answer is false
Ahmed wants to get a loan from his credit union for $20,000 to buy a new car. He can get an interest rate of 5% and can pay off the loan in 5 years. How much will Ahmed pay each month?, How much will Ahmed pay in interest?
Answer:
Step-by-step explanation:
The cost of the new car is $20,000.
We would apply the periodic interest rate formula which is expressed as
P = a/[{(1+r)^n]-1}/{r(1+r)^n}]
Where
P represents the monthly payments.
a represents the amount of the loan
r represents the annual rate.
n represents number of monthly payments. Therefore
a = $20000
r = 0.05/12 = 0.0042
n = 12 × 5 = 60
Therefore,
P = 20000/[{(1+0.0042)^60]-1}/{0.0042(1+0.0042)^60}]
20000/[{(1.0042)^60]-1}/{0.0042(1.0042)^60}]
P = 20000/{1.286 -1}/[0.0042(1.286)]
P = 20000/(0.286/0.0054012)
P = 20000/52.95
P = $378
Ahmed will pay $378 each month
The total payment is
378 × 60 = $22680
The amount that Ahmed will pay in interest is
22680 - 20000 = $2680
The solutions of the equations -x² + 4x +3 = 0 are
A. (x = -3) and (x = -1)
B. (x = 1) and (x = 3)
C. (x = -2 -√7) and (x = -2 + √7)
D. (x = 2 -√7) and (x = 2 + √7)
can someone explain this pls
Answer:
D. x = 2 − √7 and x = 2 + √7
Step-by-step explanation:
-x² + 4x + 3 = 0
Multiply both sides by -1.
x² − 4x − 3 = 0
Factor using quadratic formula.
x = [ -b ± √(b² − 4ac) ] / 2a
x = [ -(-4) ± √((-4)² − 4(1)(-3)) ] / 2(1)
x = (4 ± √28) / 2
x = (4 ± 2√7) / 2
x = 2 ± √7
x = 2 − √7, 2 + √7
Mike can drive his car 66km on petrol worth Rs.384. How much money does he need to reach his hometown from Delhi by car distance between his hometown from Delhi=6006km
Answer:
Rs.34,944
Step-by-step explanation:
(6006 km)/(66 km) = 91
The distance from his hometown to Delhi is 91 times 66 km.
He will need 91 times the amount of petrol.
91 * Rs.384 = Rs.34,944
Which of the following is(are) the solution(s) to |x+3| = 12?
A. X= 15
B. X = 9.-15
C. X = 15,-9
O D. x = 9
Answer:
B. x = 9 or -15Step-by-step explanation:
|x+3| = 12
x+3 = 12 or x+3 = -12
x = 9 or x = -15
A ladder leaning against a wall makes a 35° angle with the ground. The foot of the ladder is 5 meters from the wall. What is the length of ladder? (to the nearest tenth)
Answer:
L = length of the ladder;
K = distance between wall and the foot of the ladder;
a = angle between ladder and the ground
cos(a) = K/L,
L=K/cos(a),
L=K/cos(35°),
L=5/cos(35°),
L=6.1 m
Answer: 6.1
Step-by-step explanation: