Answer:
Number 1
Step-by-step explanation:
-5(m + 1) ≤ 23
Distribute
-5m - 5 ≤ 23
-5m ≤ 23 + 5
-5m ≤ 28
-m ≤ 28/5
Since we divide by a negative the ≤ flips to ≥
m ≥ -28/5
Hope this helps :3
HELP 50 POINTS
Could I get like an explanation so I know how to do this since its 50 points?
Answer: #2
Step-by-step explanation:
Answer:
c
Step-by-step explanation:
The accompanying data represent the miles per gallon of a random sample of cars with a three-cylinder, 1.0 liter
engine.
32.7, 35.7, 38.0, 38.7, 40.1, 42.3, 34.3, 36.2, 38.1, 39.0, 40.6, 42.9, 34.5, 37.4, 38.3, 39.4, 41.4, 43.4, 35.3, 37.6, 38.5, 39.7, 41.7, 48.9
(a) Compute the z-score corresponding to the individual who obtained 38.1 miles per gallon. Interpret this result.
The z-score corresponding to the individual is __ and indicated the date value is __ standard decoration(s) __(below/above) the __(mean/median)
(b) Determine the quartiles.
(c) Compute and interpret the interquartile range, IQR.
(d) Determine the lower and upper fences. Are there any outliers?
Answer:
A) Z = -0.24
We can interpret this as the z-score corresponding to the individual who obtained 38. 1 miles per gallon is -0.24.
B) Q1 = 36.8 and Q3 = 41
C)IQR = 4.2
This means that the distance between the first and third quartile is 4.2
D) LF = 30.5 and UF = 47.3
the only outlier is 48.9 which is more than UF
Step-by-step explanation:
We are given the data representing the miles per gallon of a random sample of cars with a three-cylinder as;
32.7, 35.7, 38.0, 38.7, 40.1, 42.3, 34.3, 36.2, 38.1, 39.0, 40.6, 42.9, 34.5, 37.4, 38.3, 39.4, 41.4, 43.4, 35.3, 37.6, 38.5, 39.7, 41.7, 48.9
Sum of data is;
ΣX = 32.7 + 35.7 + 38.0 + 38.7 + 40.1 + 42.3 + 34.3 + 36.2 + 38.1 + 39.0 + 40.6 + 42.9 + 34.5 + 37.4 + 38.3 + 39.4 + 41.4 + 43.4 + 35.3 + 37.6 + 38.5 + 39.7 + 41.7 + 48.9 = 934.7
Formula for mean is;
μ = ΣX/n
μ = 934.7/24
μ = 38.95
Formula for sample standard deviation of is;
s = √[(1/(n - 1))Σ(X - μ)²]
From online calculator, we have a value of;
s = 3.505
A) Formula for z-score is;
Z = (x - μ)/s
We are given x = 38.1
Thus;
Z = (38.1 - 38.95)/3.505
Z = -0.24
We can interpret this as the z-score corresponding to the individual who obtained 38. 1 miles per gallon is -0.24.
B) Arranging the set of given values in ascending order, we have;
32.7, 34.3, 34.5, 35.3, 35.7, 36.2, 37.4, 37.6, 38.0, 38.1, 38.3, 38.5, 38.7, 39.0, 39.4, 39.7, 40.1, 40.6, 41.4, 41.7, 42.3, 42.9, 43.4, 48.9
Number of data; n = 24
First quartile is;
Q1 = ((n + 1)/4)th = ((24 + 1)/4)th = 25/4 = 6.25th term
Thus, we will find the average of the 6th and 7th term;
Q1 = (36.2 + 37.4)/2
Q1 = 36.8
Similarly;
Q3 = ¾(n + 1)th = ¾(24 + 1)
Q3 = ¾ × 25 = 18.75th term
Thus, we will find the average of the 18th and 19th term.
Q3 = (40.6 + 41.4)/2
Q3 = 41
C) Formula for inter quartile range is;
IQR = Q3 - Q1
IQR = 41 - 36.8
IQR = 4.2
This means that the distance between the first and third quartile is 4.2
D) Formula for lower fence is;
LF = Q1 - (1.5 × IQR)
LF = 36.8 - (1.5 × 4.2)
LF = 30.5
Formula for upper fence is;
UF = Q3 + (1.5 × IQR)
UF = 41 + (1.5 × 4.2)
UF = 47.3
Now, an outlier will be any values in the given set less than LF or more than UF.
From the given set, the only outlier is 48.9 which is more than UF
At a zoo, 7 monkeys ate 35 bananas in one day. At
this rate how many bananas could 21 monkeys
eat in one day?
SUM! HELPPPPPPPPP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!ASAPPPP
Answer: 105
Step-by-step explanation: 35 divided by 7 = 5 , so one monkey eats 5 bananas. 21 x 5 = 105
Hope this helps!
Answer:
105 bannanas
Step-by-step explanation:
Because if 21 is 3 times more than 7 then you have to multiply 35 times 3 to get the amount of bannanas 3 times more monkeys can eat.
Have a great day!
89,235 written in expanded form? (2 points)
a
8 x 10,000 + 9 x 1,000 + 2 x 100 + 3 x 10 + 5 x 1
b
8 x 10,000 + 9 x 1,000 + 2 x 100 + 3 x 10 + 5 x 5
c
8 x 100,000 + 9 x 10,000 + 2 x 1,000 + 3 x 100 + 5 x 10
d
8 x 80,000 + 9 x 9,000 + 2 x 200 + 3 x 30 + 5 x 5
g One card is selected randomly from a standard 52-card deck. a. What is the probability of drawing a
Answer:
Probability [Getting a red card] = 1/2
Step-by-step explanation:
Given:
Total number of cards = 52
Find:
Probability [Getting a red card]
Computation:
Total number of red cards = 26
Probability [Getting a red card] = 26/52
Probability [Getting a red card] = 1/2
(X+y)^16 what is the answer
Use the Binomial Theorem to expand.
13/15 X 8 give your answer as a mixed number
Answer:
6.93 so in a mixed number is 693/100
Which expression is
equivalent to 25x + 12 ?
Answer:
Step-by-step explanation:
What are the choices?
A credit card offer comes in the mail with the bold print "0% A.P.R. for New Accounts." Which important piece of information should you find before thinking about signing up?
"What is the A.P.R. after the introductory period ?" you find before thinking about signing up.
An introductory APR seems to be a special rate of interest offered by credit card providers to prospective clients for something like a predetermined period of months following opening a bank account.Numerous credit cards provide promotional APRs upon expenditures buying products, debt transfers, or sometimes both. Such rate was considerably cheaper than the estimated APR, typically as minimal as 0%.
Thus the response above is right.
Learn more about credit cards here:
https://brainly.com/question/14829559
transversal t cuts parallel lines r and s which angles must be congruent to 2?
r and s are parallel lines so the angle 2 and 6 are called, corresponding angles 2 and 3 are opposite angle but 3 and 7 are also interior corresponding angles so 7 and 3 are congruent, and so are 7 and 2 .
the angles must be congruent to 2 are 3, 6 , 7
Answer:
r and s are parallel lines so the angle 2 and 6 are called, corresponding angles 2 and 3 are opposite angle but 3 and 7 are also interior corresponding angles so 7 and 3 are congruent, and so are 7 and 2 .
the angles must be congruent to 2 are 3, 6 , 7
Step-by-step explanation:
Question 3: On a recent math quiz, 20 of the 32 students who took the
quiz used a pen and the rest used a pencil. Which of the following is the
ratio of the students who used a pen to those who used a pencil? *
5 to 3
5 to 8
8 to 5
O 13 to 8
Answer:
5 to 8
Step-by-step explanation:
bc u divide the numerator and denominator by 4
Let z = 19 + i and w = 4 + 10i.
What is the first step in determining zw?
Replace i2 with –1.
Multiply z by the conjugate of w.
Apply the distributive property or FOIL.
Combine the corresponding real and imaginary parts.
EDGE
In the first step apply the distributive property or FOIL to find zw. Option C is correct.
Given that,
Let z = 19 + i and w = 4 + 10i.
The first step is to be determined.
The number that constitute of real and imaginary numbers are called a complex numbers. Complex number is represents as z = a + ib, where a = real number and bi = imaginary number
z = 19 + i and w = 4 + 10i
in order to find the product of complex numbers z and w following are the steps,
z.w = ( 19 + i )( 4 + 10i )
Step ⇒ 1
Applying distributive law,
z.w = 19 * ( 4 + 10i ) + i * ( 4 + 10i )
Step ⇒ 2
opening the parenthesis,
z.w = 19 * 4 + 19*10i + i * 4 + i * 10i
similarly, further steps are
z.w = 76 + 190i +4i + 10i²
since i² = -1
z.w = 76 + 194i - 10
z.w = 66 + 194i
Thus, in the first step apply the distributive property or FOIL to find zw. Option C is correct.
Learn more about complex numbers here: https://brainly.com/question/28007020
#SPJ2
Answer:
C
Step-by-step explanation:
Apply the distributive property of FOIL
What is the base and height of this parallelogram?
Carol bought a coloring book. It is 11 inches long and 8 inches wide. What is the diagonal length of the book?
Answer:
13.6 inches
Step-by-step explanation:
We can use Pythagorean theorem: [tex]c=\sqrt{a^{2} +b^{2} }[/tex]
Let c be the diagonal length, a for length, and b for width.
Substitute the values.
[tex]c=\sqrt{11^{2}+8^{2} }[/tex]
c=13.6 inches
Some one please answer
Answer:
A and D
Step-by-step explanation:
0.45 - 0.23 = 0.22
0.45(8) = 3.60
3. (05.05)
Which of the following inequalities matches the graph? (1 point)
x<2
y>2
x<2
x>2
Answer:
The inequality x>2 matches the graph.
Step-by-step explanation:
From the graph, it is clear that the shaded graph is heading towards the +ve infinity from the x > 2.
If the inequality includes < or >, we graph the equation as a dotted line.
From the graph, the dotted line indicates that x=2 is not included in the solution of the inequality.
so the interval of the domain of the inequality is: (2, ∞)
Therefore, the inequality x>2 matches the graph.
ANSWER ASAP GIVING BRAINLIEST!
A chemical reaction in a light stick causes it to give off a glowing green light. Explain why the reaction is endothermic or exothermic.
Answer:
The chemical reaction is due to chemical change in the chemicals within the light stick so it shows off color.
Step-by-step explanation:
The chemicals in the light stick interact with each other. This cause them to come together and give off a color of light.
can u pls help me with this question
Answer:
A is correct
Step-by-step explanation:
Answer:
it's A -2/9
Step-by-step explanation:
it's A
it's A
c) The first five terms of a sequence are shown below; 13, 9, 5, 1, -3 . Find the nth term of this sequence
Answer:
-7
Step-by-step explanation:
because they are going down by 4. So just subtract 4.
these bugs are not drawn up to scale what does that mean
It means that they do not have the proper proportions that they normally would in real life. The drawing might be larger or smaller than the bugs but even then it might have the proper proportions, it is only when it has incorrect proportion sizes, that is is considered "not to scale"
I hope this helps :)
Answer:
That means if you measure the bugs from the chart/paper/assignment, the real bugs aren't that size.
Hope that helps and have a great day!
(If you have any questions let me know)
What is the answer to 5/8 + 1/2
Answer:
9/8 or 1 1/8
Step-by-step explanation:
Answer:
9/8 or 1 1/8
Step-by-step explanation:
find common denominator, its 8 for this problem so put [tex]\frac{1}{2} = \frac{4}{8}[/tex]
[tex]\frac{5}{8} +\frac{4}{8} = \frac{9}{8}[/tex]
The sum of two numbers is 47. The greater number is 9 more than the smaller number. Which equation can be used to solve for the smaller number? x + (x + 9) = 47 x − (x + 9) = 47 x(x + 9) = 47 x(x − 9) = 47
I believe the correct answer from the choices listed above is the first option. The equation that can be used to solve the problem would be x + (x + 9) = 47.
The sum of two numbers is 47. ---> x + y = 47 where x is the smaller number and y is the larger.
The greater number is 9 more than the smaller number. -----> y = x + 9
x + ( x + 9 ) = 47
Answer:
x + (x + 9) = 47
Step-by-step explanation:
This equation can be used to solve for
This equation can be used to solve forthe smaller number.
Please answer. Have to find what numbers make that equation true
Answer:
(x+8y)(x-8y)
Step-by-step explanation:
8 squared is 64 and so is y for y^2.
One positive and a negative turns into a negative, so that's why it's only one.
HELP ME PLEASE!!! A Kite flying in the air has a 12 feet line attached to it. It's line is pulled and cast an 11 feet shadow. Find the height of the kite. If necessary round your answer to the nearest 10th
Step-by-step explanation:
By Pythagoras' theorem,
12^2 = 11^2 + height^2
height = ±√12^2 - 11^2 (rej -ve value since height > 0)
height = 16.279 (5sf) = 16.3 (nearest tenth place)
Topic: Pythagoras theorem
If you like to venture further, do check out my insta (learntionary) where I regularly post useful math tips! Thank you!
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Question Help
As part of a research project, the blood pressures of 2000 patients in a hospital are recorded. The systolic blood pressures (given in millimeters) have
an approximately normal distribution with mean y = 122 and standard deviation o = 15. Use the 68-95-99.7 rule to complete the following.
(a) Estimate the number of patients whose blood pressure was between 92 and 167 millimeters.
(b) Estimate the number of patients whose blood pressure was between 92 and 137 millimeters.
Why is pi named pi? I like pie tho.....
Answer:
it was first called "pi" in 1706 by William Jones, because pi is the first letter in the Greek word perimitros, which means "perimeter."
Subtract 8 from me. Then add 21. If you divide me by 4 and add 21 you get 29. What number am I?
Answer:
19
Step-by-step explanation:
x - 8 + 21 ÷ 4 + 21 = 29
x - 8 + 21 ÷ 4 = 29 - 21
= 8
x - 8 + 21 = 8 x 4
= 32
x - 8 = 32 - 21
= 11
x = 11 + 8
= 19
Therefore the number is 19. A bit confusing to me at first but I solved it :)
2. Select the solution for the system of linear equations y = 3x + 4 and y = x + 2.
A. (-1,1)
B. (1,-1
C. (-1,-1)
D. (1,1)
Here is a list of numbers 15 6 8 7 12 1 5 8 4 3 state the median
Answer:
The median is 6.5
A plane flies at a steady rate of 40 mph while a second plane flies at a steady rate of 100 mph. The planes are 200 miles apart and fly directly toward each other. In how many hours will they meet?
plz help
times almost up
Answer:
The time the two planes will meet is 1.43 hours
Step-by-step explanation:
Given;
speed of the first plane in positive direction, = 40 mph
speed of the second plane in negative direction(opposite direction) = -100 mph
distance between the two planes = 200 miles
Let the time the two planes will meet = t
the position of the first plane at this time "t" = 40t
the position of the second plane at this time "t" = -100t
(40t)>--------------------------------<(-100t), this space between them is 200 miles.
Thus, the difference in the distance they traveled before meeting should be equal to 200 miles.
40t - (-100t) = 200
40t + 100t = 200
140t = 200
t = 200 / 140
t = 1.43 hours
Therefore, the time the two planes will meet is 1.43 hours