Answer:
A. Q1 = 4.6; Q2 = 5.5; Q3 = 5.95Step-by-step explanation:
Q2 is the median of the data set:
Q2 = 5.5Q1 is the median of lower half:
Q1 = (4.5 + 4.7)/2 = 4.6Q3 is the median of upper half:
Q3 = (5.9 + 6)/2 = 5.95Correct choice is A
Answer:
A.Q1 = 4.6;Q2 = 5.5;Q3 = 5.95
Step-by-step explanation:
I hope this helps
Select the correct location on the number line.
The value of tis between 3.1415 and 3.1416. Using this knowledge, plot Pi squared on the number line.
Answer:
It would be the second red dot to the right of 9.85.
If the given figure is rotated 180° around the origin, what are the new coordinates of point Z? Z= (6,-9)
Answer:
Step-by-step explanation:
Try and draw it on a grid and just rotate your book up to 180
What is the formula for |a+b+c|²?
Answer:
a^2 + b^2 = c^2
Step-by-step explanation:
usually used on right triangles.
Solve the right triangle given that mZA= 30°, mZC = 90°, anda = 15. Round your result to one decimal place.
Answer:
[tex]\angle B = 60^o[/tex]
[tex]b =17.3[/tex]
[tex]c = 20[/tex]
Step-by-step explanation:
Given
[tex]a= 15[/tex]
[tex]\angle A = 30^o[/tex]
[tex]\angle C = 90^o[/tex]
See attachment for illustration
Required
Solve the triangle
First, we calculate the measure of B
[tex]\angle A + \angle B + \angle C = 180^o[/tex] --- angles in a triangle
[tex]30^o + \angle B + 90^o = 180^o[/tex]
Collect like terms
[tex]\angle B = 180^o-90^o-30^o[/tex]
[tex]\angle B = 60^o[/tex]
Solve for (c) using sine function
[tex]\sin(30) = \frac{a}{c}[/tex]
Make c the subject
[tex]c = \frac{a}{\sin(30)}[/tex]
Substitute known values
[tex]c = \frac{10}{0.5}[/tex]
[tex]c = 20[/tex]
Solve for (b) using Pythagoras
[tex]c^2 = a^2 + b^2[/tex]
This gives:
[tex]20^2 = 10^2 + b^2[/tex]
[tex]400 = 100 + b^2[/tex]
Collect like terms
[tex]b^2 =400 - 100[/tex]
[tex]b^2 =300[/tex]
Take square roots
[tex]b =17.3[/tex]
Suppose 5 men and 7 women are on a crowded elevator. At the next floor, four people get off the elevator. Find the probability that three are women.
0.010
0.354
0.424
0.25
Total People=5+7+4=16
Women=7We know
[tex]\boxed{\sf P(W)=\dfrac{No.\:of\:women}{Total\:People}}[/tex]
[tex] \\ \sf \longmapsto \: p(w) = \frac{7}{16} [/tex]
Random samples of size 100 are taken from an infinite population whose population proportion is 0.2. The mean and standard deviation of the sample proportion are:__________
a) 0.2 and .04
b) 0.2 and 0.2
c) 20 and .04
d) 20 and 0.2
Answer:
c I think
Step-by-step explanation:
just cuz I did the math but I don't wanna type rn
Need Help! ASAP!!! I gave a screen shot. Please someone give me the correct answer.
9514 1404 393
Answer:
x ∈ {-35, 0, 35}
Step-by-step explanation:
We can solve for x and equate those values to find corresponding y-values. Substituting into the original expressions for x gives the possible x-values.
[tex]x+xy^2=250y\ \Rightarrow\ x=\dfrac{250y}{1+y^2}\\\\x-xy^2=-240y\ \Rightarrow\ x=\dfrac{-240y}{1-y^2}\\\\\dfrac{250y}{1+y^2}+\dfrac{240y}{1-y^2}=0\\\\\dfrac{25y(1-y^2)+24y(1+y^2)}{(1+y^2)(1-y^2)}=0\\\\y(-y^2+49)=0=y(7-y)(7+y)\ \Rightarrow\ y\in\{-7,0,7\}\\\\x=\dfrac{250(\pm 7)}{1+(\pm7)^2}=\pm35,\quad=\dfrac{250(0)}{1+0^2}=0\\\\\boxed{x\in\{-35,0,35\}}[/tex]
Basil bought a total of game cards at a big discount. Some of the cards cost R0,25 each and some cost R0,15 each. If Basil spent R4,20 to purchase these cards, how many cards of each type did he buy
Answer:
R0,15 * 23 + R0, 25*3 23 R0,15 ones, and 3 R0,25 ones
What are the ordered pairs of the
solutions for this system of equations?
f(x) = x2 – 5x + 3; f(x) = -3
Start by writing the system down, I will use [tex]y[/tex] to represent [tex]f(x)[/tex]
[tex]y=x^2-5x+3\wedge y=-3[/tex]
Substitute the fact that [tex]y=-3[/tex] into the first equation to get,
[tex]-3=x^2-5x+3[/tex]
Simplify into a quadratic form ([tex]ax^2+bx+c=0[/tex]),
[tex]x^2-5x+6=0[/tex]
Now you can use Vieta's rule which states that any quadratic equation can be written in the following form,
[tex]x^2+x(m+n)+mn=0[/tex]
which then must factor into
[tex](x+m)(x+n)=0[/tex]
And the solutions will be [tex]m,n[/tex].
Clearly for small coefficients like ours [tex]5,6[/tex], this is very easy to figure out. To get 5 and 6 we simply say that [tex]m=3, n=2[/tex].
This fits the definition as [tex]5=3+2[/tex] and [tex]6=2\cdot3[/tex].
So as mentioned, solutions will equal to [tex]m=3, n=2[/tex] but these are just x-values in the solution pairs of a form [tex](x,y)[/tex].
To get y-values we must substitute 3 for x in the original equation and then also 2 for x in the original equation. Luckily we already know that substituting either of the two numbers yields a zero.
So the solution pairs are [tex](2,0)[/tex] and [tex](3,0)[/tex].
Hope this helps :)
Find MP
Find NL
Hehdjsjsjsjzjxjzjzjjznznznz
Answer:
i dont know
Step-by-step explanation:
hmmm
Solve for x.
A. 1
B. 4
C. 7
D. 9
9514 1404 393
Answer:
B. 4
Step-by-step explanation:
The product of segment lengths to the near and far circle intercepts is the same for both secants.
5(5 +(x-1)) = 4(4 +(x+2))
5(x +4) = 4(x +6) . . . . . simplify inside parentheses
5x +20 = 4x +24 . . . eliminate parentheses
x = 4 . . . . . . . . . . . . subtract 20+4x
i think this the answer …
Answer:
40/8= 5
Step-by-step explanation:
5/1
Your selected answer is correct.
5/1
A barbecue grill is a circle with a diameter of 2.2 feet. What is the circumference of the grill (in feet)? (R
decimal places.)
Step-by-step explanation:
circumference =pi × diameter
=(22/7)×2.2
=6.914ft
Answer:
6.91 feet
Step-by-step explanation:
Patrick walked 3/5 miles on the first day, 5/7 miles on the second day, third day he walked half of the first day’s distance and the last day he walked the first two days' distance. How much distance Patrick has walked altogether?
After the total distance on the first, second and third days, Patrick had walked 3.45miles
Patrick walked altogether 3 miles.
What are fractions?
A fraction is referred to as the portion of a whole in mathematics. For instance, if a pizza is cut into four equal pieces, each one is represented by a quarter. Fractions make calculations quicker and easier by making it easier to distribute and judge numbers.
Solution:
First day patrick walked = 3/5 miles
Second day patrick walked = 5/7 miles
Third day he walked = half of first day
= 1/2 ×3/5
= 3/10 miles
fourth day he walked = first two days distances
= 3/5 ₊ 5/7
= 46/35 miles
Total distance he walked = 3/5 ₊ 5/7 ₊ 3/10 ₊ 46/35
= 3 miles
Hence total distance he walked is 3 miles.
Learn more about "fractions" here-
brainly.com/question/78672
#SPJ2
How many 10-letter words real or imaginary can. Be formed from the following letters R,S,P,Q,H,J,S,M,B,A
Answer: 3628800
Step-by-step explanation: there are 10 letters so we multiply each with the other 1x2x3x4x5x6x7x8x9x10 or 10! to know all possible combinations so the answer will be 3628800.
Hope it helped!
Answer:
[tex]1,814,400[/tex]
Step-by-step explanation:
The number of ways to arrange a word with [tex]d[/tex] distinct digits is each to [tex]d![/tex]. Since there are 10 letters, there are [tex]10![/tex] permutations initially formed.
However, there is one letter that is repeated, S. We need to account for that fact that switching the placement of the S's does not change the word, as they still appear the same. Therefore, divide [tex]10![/tex] by the number of ways you can arrange the 2 S's, which is simply [tex]2![/tex]. Therefore, our answer is:
[tex]\frac{10!}{2!}=10 \cdot 9\cdot 8\cdot 7\cdot 6\cdot 5\cdot 4\cdot 3=\boxed{1,814,000}[/tex]
Here is the picture of the problem I need help with.
Answer:
-5
Step-by-step explanation:
We need to find a number less than -3
-1 is greater than -3
0 is greater than -3
2 is greater than -3
-5 is less than -3
Answer:
option A
Step-by-step explanation:
Because its colder than negative 3 degrees F.
Make a T-chart with 5 points and Graph the function below on the graph paper you have been provided with. Identify the Key features. AOS, DOMAIN, and RANGE. Make sure I can easily identify your answers on your paper. Also, answer the question below.
Answer:
look this up ok
Step-by-step explanation:
Graph axis of symmetry vertex and max and min, domain and range
Let Z be the standard normal random variable. Use a probability calculator to answer the following questions: What is the probability Z will be within one standard deviation of average?
Answer:
0.6826 = 68.26% probability Z will be within one standard deviation of average.
Step-by-step explanation:
Normal Probability Distribution
Problems of normal distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
What is the probability Z will be within one standard deviation of average?
This is the p-value of Z = 1 subtracted by the p-value of Z = -1.
Z = 1 has a p-value of 0.8413.
Z = -1 has a p-value of 0.1587.
0.8413 - 0.1587 = 0.6826
0.6826 = 68.26% probability Z will be within one standard deviation of average.
What is the length of AB?
.
A9
B. 3
C.
0.
D. 12
Answer:
D
Step-by-step explanation:
4X =2 X +6
=>X = 3
Help please so lost!!!!!!!!!!!!
Answer:
hmmmmm please send the pic again
What is an equation of the line that passes through the points (4,-2) and (8,-7)?
Answer:
the slope-intercept form for any line is y = mx + b, where m is the slope and b is the y-intercept.
now, let's calculate the slope:
=
here is the equation we currently have solved: y = x + b
now we have to solve for the y-intercept. to do this, we substitute one of the given points into the equation, and solve for b.
let's use (8, 2). in this ordered pair, the 8 is the x, and the 2 is the y.
2 = 8 + b
2 - 8 = b
b = -6
and now we have our final equation!
y = x - 6
hope this helped! please let me know if you are confused about anything i did smiley
Step-by-step explanation:
Answer:
y = -5/4x + 3Step-by-step explanation:
Find the slope first:
m = (y2 - y1)/ (2 - x1)m = (-7 + 2)/(8 - 4) = -5/4Use point-slope form and the coordinates of one of the points:
y - y1 = m(x - x1)y - (-2) = -5/4(x - 4)y + 2 = - 5/4x + 5y = -5/4x + 3Emily wants to buy a car. She has a choice between two different banks. One bank is offering a simple interest rate of 4.5% and the other bank is offering a rate of 4.5%
compounded annually. Which is the better deal?
A.) a simple interest rate of 4.5%
B.) a compound interest rate of 4.5%
Answer:
simple interest rate of 4.5%
How to show my work when I have a math problem
Answer:
Here is how
Step-by-step explanation:
You find your answer to the problem and explain how do did it or you write the steps of how you did the problem. Also put your answer.
Please help!!!! What's the rule that represents the sequence 13, 27, 41, 55, ...?
Answers Below:
Answer:
B) 13+14 (n - 1)
Step-by-step explanation:
this is an arithmetic sequence
13 represent the first term
14 is a constant difference
Answer:
The answer is B
Step-by-step explanation:
substitute the value of n in the equation.
The population of a city has increased by 33% since it was last measured. If the current population is 39,900, what was the previous population?
=___
Answer:
26,733
Step-by-step explanation:
39,900 - Percentage decrease =
39,900 - (33% × 39,900) =
39,900 - 33% × 39,900 =
(1 - 33%) × 39,900 =
(100% - 33%) × 39,900 =
67% × 39,900 =
67 ÷ 100 × 39,900 =
67 × 39,900 ÷ 100 =
2,673,300 ÷ 100 =
26,733
Hope this helps :)
Which quadratic function has minimum value at x = -b/2a?
O y=-3x2 + 5 X + 6
O y=x2 + 5 x + 6
O y=-x2 + 5x + 6
O y = -4 x2 + 5x + 6
Answer:
The choose (2)
y=x²+5x+6
Step-by-step explanation:
y=x²+5x+6 —> (–5/2 , –1/4)
y=-3x² + 5 X + 6 —> (5/6, 97/12)
y=-x² + 5x + 6 —> (5/2,49/4)
y = -4 x² + 5x + 6 —> (5/8 , 121/16)
Find the value of x. Show your work with proper statements and notation
Answer: x = 14
====================================================
Explanation:
For any triangle, the three inside or interior angles always add to 180
M+N+P = 180
32+64+6x = 180
6x+96 = 180
6x = 180-96
6x = 84
x = 84/6
x = 14
Josh sees a pair of trainers with a tags saying 75% off the recommended price of £80. Josh decided to buy the trainers. How many pounds will it cost him?
Select the correct answer
The equation of a line is y= 15x-2 What are its slope and y-intercept?
A.slope = 15 and y-intercept=-2
B.slope = 15 and y-intercept = 2
C.slope = 2 and y-intercept=15
D.siope =-2 and y-intercept=15
RES
Answer:
A
Step-by-step explanation:
Slope = term that multiply x
y intercept = the number without a variable
Classify the following triangle as acute, obtuse, or right.
Answer:
acute
Step-by-step explanation:
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