Answer:
see explanation
Step-by-step explanation:
so, when a=-3, c is -20. now, to find b when a is -3, plug a (which is -3) into the equation b=4a-5 to get b=-17. so b=-17, c=-20. b is obviously larger (remember the negative sign)
when c is 21, a is 5. plug numbers in to get b=15.
when a is 6, there is no clear value for c, so i'd guess undefined. b however is 19
we can plot the line and the points, for problem 4 and all points above the line means that c is greater than b, and when below it's less than. doing this we get when a is 12, when a is 0, and when a is 5. hope this was clear
A company produces and sells homemade candles and accessories. Their customers commonly order a large candle and a matching candle stand. The weights of these candles have a mean of 500g and a standard deviation of 15g. The weights of the candle stands have a mean of 200g and a standard deviation of 8g. Both distributions are approximately normal.
Let T= the total weight of a randomly selected candle and a randomly selected stand, and assume that the two weights are independent.
If the total weight T of the two items is under 683g, the company gets a discount on shipping.
Find the probability that the total weight is under 683g.
You may round your answer to two decimal places.
P(T<683)≈
Answer:
P(T<683) = 0.1587 = 15.87% ≈ 16%.
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.
Sum of normal variables:
When two normal variables are added, the mean is the sum of the means, while the standard deviation is the square root of the sum of the variances.
The weights of these candles have a mean of 500g and a standard deviation of 15g. The weights of the candle stands have a mean of 200g and a standard deviation of 8g.
The package consists of one candle of each type. So
[tex]\mu = 500 + 200 = 700[/tex]
[tex]\sigma = \sqrt{15^2 + 8^2} = 17[/tex]
Find the probability that the total weight is under 683g.
This is the pvalue of Z when X = 683.
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{683 - 700}{17}[/tex]
[tex]Z = -1[/tex]
[tex]Z = -1[/tex] has a pvalue of 0.1587
So
P(T<683) = 0.1587 = 15.87% ≈ 16%.
Answer:
0.1587 Step-by-step explanation:kahn
This is another question:) PLEASE HELP!!!
Answer:
The Answer is your mom! :)
Step-by-step explanation:
Given the definitions of f(x) and g(x) below, find the value of g(f(-1)).
f(x) = -4x – 7
g(x) = x² + 7x – 2
Answer:
-14
Step-by-step explanation:
[tex]f(x) = -4x – 7 \\ plug \: x = - 1 \\ f( - 1) = - 4( - 1) - 7 = 4 - 7 = - 3 \\g(x) = x² + 7x – 2 \\g(f( - 1)) = {( - 3)}^{2} + 7( - 3) - 2 \\ = 9 - 21 - 2 \\= - 14[/tex]
Which is 4 logx- 2 log(x-3) written as a single logarithm?
Answer:it’s C
Step-by-step explanation:
That’s the answer on edge
Solve: 18^(x^(2)+4x+4)=18^(9x+18)
x = -2
x = 7
x = –2 and x = 7
no solution
Is this the problem?
[tex]18x^{2+4+4} = 18^{9x+18}[/tex]
Answer
The Answer is C
x=-2 and x=7
Solution set no links please
I believe that the answer is 11/4. I hope this helps!
WILL MARK BRAINLIEST IF FOTTEN RIGHT!!!
Answer:
A
Step-by-step explanation:
area = [tex]\pi r^{2}[/tex]
circumference = [tex]2\pi r[/tex]
[tex]r^{2} = 4\\\sqrt{r^{2}} =\sqrt{4} \\r = 2[/tex]
[tex]2\pi (2) = 4\pi[/tex] [tex]yd[/tex]
Scale factor of 3 and 6
Answer:
3:6
3x2=6
Scale factor = 2
Step-by-step explanation:
If the given figure is rotated 180° around the origin, what are the new coordinates of point Z?
please I really need help with this.
Answer:
New coordinates of the point Z are (-6, 9)
Step-by-step explanation:
If a point (x, y) is rotated 180° about the origin, coordinates of the image point is given by the rule,
(x, y) → (-x, -y)
Coordinates of the vertex Z → (6, -9)
Following the same rule,
Z(6, -9) → Z'(-6, 9)
Therefore, coordinates of the new (image) point will be (-6, 9).
Find two numbers that multiply to 11 and add to -12
Factorise :
3x² -5x + 6
Answer:
The expression is not factorable with rational numbers.
Step-by-step explanation:
Solve the following problems. It may be helpful to set up an equation. The sum of two numbers is 13, the difference is 4. What are the numbers? pls help
Answer:
y = 4 1/2
x = 8 1/2
Step-by-step explanation:
x + y = 13
x - y = 4
substitution method: let x = 4+y
4+y + y = 13
2y = 9
y = 4 1/2
x = 8 1/2
What is the range of 5,4,6,3,4?
Answer:
Range=2
Step-by-step explanation:
Range=Highest number-Lowest number
=5-3=2
Hope it Help
Mark Me Brillainest
Find the volume of the pyramid.
Please Help!
Answer:
144cm
Step-by-step explanation:
Just search it up lol
Please help me with this question.
Answer:
A
Step-by-step explanation:
F(-2)= 4(-2)-1= -9
G(-2)= (-2)^2-3= 1
f(-2)-(g-2)= -9-1= -10
PLEASE HELP!
In the figure below, m∠R is 66°, and m∠T is 122°.
Note: Figure is not drawn to scale.
What is m∠Q?
A.
58°
B.
56°
C.
24°
D.
124°
Answer:
B. 56°
Step-by-step explanation:
We are given that m∠R is 66° and m∠T is 122°.
We can apply the supplementary rule since ∠S and ∠T are a linear pair. So, we can use ∠T to find ∠S through 180° - 122° = 58°.
Now, we can use ∠R and ∠S to find ∠Q.
66° + 58° = 124°
180° - 124° = 56°
Answer:
m∠Q is 56°.
Step-by-step explanation:
An exterior angle of a triangle is equal to the sum of the two interior angles that are not adjacent to that exterior angle.
In this case, ∠T is an exterior angle of the triangle, and ∠Q and ∠R are the two interior angles that are not adjacent to ∠T.
So, the measure of ∠T is equal to the sum of the measure of ∠Q and the measure of ∠R.
Therefore, m∠Q is 56°.
A recent hailstorm caused $1200 worth of body damage to Karen's car. Based
on Karen's insurance policy given below, how much money will Karen receive
after she files her claim?
Summary
Comprehensive Deductible: 333
Collision Deductible: 5550
Premium of $625 for 4 months
A. $625
B. $825
O C. $375
Ο Ο
D. $1200
Answer:B
Step-by-step explanation:
$825
BC is included between?
Answer:C
Step-by-step explanation: goobaldy gock
Answer:
the answer is B not C you're welcome
Von de som en bona pays 1. West End the stor 10 years when it is
The balance after 10 years is $
Answer:
10$
Step-by-step explanation:
The normal rainfall in September for Denver is 1.24 inches. The normal rainfall for Miami in September is 7.63 inches. The normal rainfall in January for Miami is 2.01 inches. The normal rainfall in January for Denver is 6.91 inches.
To the nearest tenth of an inch, how much more rain does Miami get in September than it gets in January?
Answer:
5.60 inches
Step-by-step explanation:
7.63 - 2.01 = 5.62
5.62 ≈ 5.6
Tell me if there is any missing information in the question because the information for Denver seems useless and there probably something missing
pls i will give 50 points
Answer:
y = |x - 1| - 1Step-by-step explanation:
This is a translation of the absolute value function:
y = |x| is translated down 1 unit and right by 1 unit:The function is:
y = |x - 1| - 1
x - 2y = 0
2x + y = 5
b. If the radius of a circle is r сm, what
is the measure of its circumference?
Answer:
[tex]2 \times \pi \: \times r[/tex]
is the circumference of the circle
Answer:
Step-by-step explanation:
If the radius of a circle is r cm then
circumference = 2πr
In triangle ABC, m∠A=(2x)∘, m∠B=(3x+1)∘, and m∠C=(3x−5)∘.
What is the value of x?
Answer:
x = 23
Step-by-step explanation:
A triangle contains 180°. So, simply create the equation m∠A + m∠B + m∠C = 180° and solve for x.
2x + 3x + 1 + 3x - 5 = 180
8x - 4 = 180
8x = 184
x = 23
The value of x in triangle ABC, where m∠A=(2x)∘, m∠B=(3x+1)∘, and m∠C=(3x−5)∘ is 23.
What is triangle angle sum theorem?According to the triangle angle sum theorem, the sum of all the angle(interior) of a triangle is equal to the 180 degrees.
In triangle ABC,
m∠A=(2x)∘, m∠B=(3x+1)∘, m∠C=(3x−5)∘.As, the sum of all the angles of triangle is equal to the 180 degree. Thus,
[tex]m\angle A+m\angle B +m\angle C=180^o\\(2x)+(3x+1)+(3x-5)=180\\2x+3x+3x=180+5-1\\8x=184\\x=\dfrac{184}{8}\\x=23^o[/tex]
Thus, the value of x in triangle ABC, where m∠A=(2x)∘, m∠B=(3x+1)∘, and m∠C=(3x−5)∘ is 23.
Learn more about the triangle angle sum theorem here;
https://brainly.com/question/7696843
#SPJ2
What is the area of a rectangle with 4 1/3 length and 2 1/2 width?
PLEASE HELP. NO LINKS OR U WILL BE REPORTED MAKE SURE U ARE RIGHT I WILL GIVE BRAINLY THING
Answer:
The answer is B to your question
An item costs $34 it has a sales tax
rate of 5%. What is the amount of
sales tax for that item?
tax
0.00
+/-
Answer:
$1.70
Step-by-step explanation:
34 x 0.05 = 1.70
$1.70 is the tax
find the value f(-5)
Answer:
-9
Step-by-step explanation:
need you to check if answer is correct
In how many ways can 5 different novels, 4 different mathematics books, and 1 biology book be arranged on a bookshelf if: (a) The books can be arranged in any order? Your answer is: 3628800 (b) The mathematics books must be together and the novels must be together? Your answer is : 6 (c) The mathematics books must be together but the other books can be arranged in any order? Your answer is: 5040
Answer:
(a) 3628800 ways
(b) 17280 ways
(c) 120960 ways
Step-by-step explanation:
Given
[tex]Novels = 5[/tex]
[tex]Maths = 4[/tex]
[tex]Biology = 1[/tex]
[tex]Total = 10[/tex]
Solving (a): Arrangement with no restriction.
We simply count each book with no restriction. i.e. 10 books
So, the number of arrangement is:
[tex]Arrangement =10![/tex]
[tex]Arrangement =10*9*8*7*6*5*4*3*2*1[/tex]
[tex]Arrangement =3628800[/tex]
Solving (b): Maths book together and Novels together
First, arrange the 4 maths books as:
[tex]Maths = 4![/tex]
Next, arrange the 5 novels as:
[tex]Novels = 5![/tex]
Lastly, take the 4 maths book as [1], the 5 novels as [1] and the remaining [1] biology book.
So, we have: 3 books
Arrange 3 books, we have:
[tex]Books = 3![/tex]
Total arrangement is:
[tex]Total = 4! * 5! * 3![/tex]
[tex]Total = 4*3*2*1 * 5*4*3*2*1 * 3*2*1[/tex]
[tex]Total = 17280[/tex]
Solving (c): Maths book together
First, arrange the 4 maths books as:
[tex]Maths = 4![/tex]
Next, take the 4 maths book as [1], then the remaining 6 books (i.e. 5 novels and 1 biology)
So, we have: 7 books
Arrange 7 books, we have:
[tex]Books = 7![/tex]
Total arrangement is:
[tex]Total = 4! * 7![/tex]
[tex]Total = 4*3*2*1 * 7*6*5*4*3*2*1[/tex]
[tex]Total = 120960[/tex]