Answer:
x = -19
Step-by-step explanation:
first isolate x by subtracting 8 on both sides:
179 = -9x + 8
-8 -8
=> 171 = -9x
then divide -9 on both sides to solve for x:
=> x = 171 ÷ -9 = -19
hope it helps ;)
What is the value of this expression?
9514 1404 393
Answer:
2
Step-by-step explanation:
I find it convenient to remember that a logarithm is an exponent.
[tex]\log_a(a^b)=b[/tex]
__
log₂(8) +log₃(1/3) = log₂(2³) +log₃(3⁻¹)
= 3 -1 = 2
The value of the expression is 2.
__
Some calculators can compute this for you directly.
5. In one year, there were 125 major new automobile types available. If you look at the miles per gallon (MPG) for these vehicles, the distributions are roughly normal. The means and standard deviations are given by:
Mean Standard Deviation
City MPG 22.37 4.77
Highway MPG 29.09 5.46
a. The Honda Civic had a rating of 45 highway MPG. What is the probability that your car has a worse highway gas mileage than the Civic?
b. The Lincoln Continental had a rating of 17 city MPG. What percent of cars are likely to have a better city gas mileage than the Continental?
Answer:
a. 0.0018 = 0.18% probability that your car has a worse highway gas mileage than the Civic
b. 89.06% of cars are likely to have a better city gas mileage than the Continental
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.
a. The Honda Civic had a rating of 45 highway MPG. What is the probability that your car has a worse highway gas mileage than the Civic?
For Highway, we have that [tex]\mu = 29.09, \sigma = 5.46[/tex]
This probability is the pvalue of Z when X = 45. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{45 - 29.09}{5.46}[/tex]
[tex]Z = 2.91[/tex]
[tex]Z = 2.91[/tex] has a pvalue of 0.9982
1 - 0.9982 = 0.0018
0.0018 = 0.18% probability that your car has a worse highway gas mileage than the Civic.
b. The Lincoln Continental had a rating of 17 city MPG. What percent of cars are likely to have a better city gas mileage than the Continental?
City means that [tex]\mu = 22.37, \sigma = 4.37[/tex]
This probability is 1 subtracted by the pvalue of Z when X = 17. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{17 - 22.37}{4.37}[/tex]
[tex]Z = -1.23[/tex]
[tex]Z = -1.23[/tex] has a pvalue of 0.1094
1 - 0.1094 = 0.8906
0.8906 = 89.06% of cars are likely to have a better city gas mileage than the Continental
The area of a rectangle is 36x^2 — 100y^2. Determine the length and the width of the rectangle.
Answer:
the length is represented by (6x + 10y) and the width by (6x - 10y)
Step-by-step explanation:
36x^2 - 100y^2 is the difference of two squares, so we need only factor this expression to obtain the length and width.
Recall that a similar difference, a^2 - b^2, comes out to (a - b)(a + b).
Thus, (36x)^2 = (100y)^2 = (6x - 10y)(6x + 10y).
Let's assume that the greater measurement, the length, is represented by (6x + 10y) and the width by (6x - 10y)
An Earth Day event will cost $15 for three people to attend. If there are four people attending, how much will the Earth Day fun event cost?
I need questions 1 , 2 ,3 answered please :)
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Answer:
54°both are 73°x = 12Step-by-step explanation:
Some useful relations are ...
A triangle inscribed in a semicircle is a right triangle.
Acute angles in a right triangle are complementary.
An inscribed angle is half the measure of the arc it intercepts.
The sum of arcs around a circle is 360°; 180° around a semicircle.
__
1. Arc DF is twice the marked inscribed angle, so is 126°. Arc FE is supplementary to that, so is ...
arc FE = 180° -126°
arc FE = 54°
Alternate solution: arc FE is twice angle D, which is the complement of 63°.
2(90° -63°) = 2(27°) = 54° = arc FE
__
2. Arc GJ = 360°-68° -31° -115° = 146°
angle GHJ = angle GIJ = 146°/2 = 73°
__
3. arc UT = 2(90° -43°) = 94°
9x -14 = 94
9x = 108 . . . . . add 14
x = 12 . . . . . . . . divide by 9
Anychance anyone can answer this?
Answer:
-3: C
-2: F
-1: A
6: D
Step-by-step explanation:
-3+2 = -1
-1 = (-1)^3
-3: C
-2+1 = 0
0 = 0^3
-2: F
-1+2 = 1
1 = 1^3
-1: A
6 + 2 = 8
8 = 2 x 2 x 2 = 2^3
6: D
In the year 2012, 12\%12%12, percent of the residents of the US moved to a different residence. Suppose that several census workers took random samples of n=150n=150n, equals, 150 residents from the population and computed the proportion \hat p
p
^
p, with, hat, on top of residents in each sample who had moved in 2012.
What would be the shape of the sampling distribution of \hat p
p
^
p, with, hat, on top?
Answer: approximately normal (c) trust me-khan academy
Step-by-step explanation:
In the coordinate plane, line p has slope 8 and y-intercept (0, 5). Line r is the result of dilating line p by a factor of 3 with center (0, 3). What are the slope and y-intercept of line r?
A.
Line r has slope 8 and y-intercept (0, 9).
B.
Line r has slope 8 and y-intercept (0, 5).
C.
Line r has slope 5 and y-intercept (0, 2).
D.
Line r has slope 11 and y-intercept (0, 8).
Answer:
im not that smart but
Step-by-step explanation:
Given that In the coordinate plane line p had slope 8 and y intercept (0,5).
Hence equation of line p is
y = 8x+5 (slope intercept form)
When we dilate p by a factor of 3, we have
we find that slope would remain the same but the y intercept would become 3 times.
Hence new line would be
y = 8x+15
Slope = 8 and y intercept = 15
This line will be parallel to original line.
The line r has slope 8 and y-intercept (0, 9) and the equation of the line is y = 8x + 9 if the line p has slope 8 and y-intercept (0, 5). Line r is the result of dilating line p by a factor of 3 with center (0, 3) option (A) is correct.
What is a linear equation?
It is defined as the relation between two variables if we plot the graph of the linear equation we will get a straight line.
If in the linear equation one variable is present then the equation is known as the linear equation in one variable.
We have:
p has a slope of 8 and y-intercept (0, 5)
Line r is the result of dilating line p by a factor of 3 with center (0, 3).
Line p is:
y = 8x + 5
The center is not on the line because it does not satisfy the line.
Now dilated line r will have the same slope.
And inetercept = 3+3(5-3)
= 9
Thus, the line r has slope 8 and y-intercept (0, 9) and the equation of the line is y = 8x + 9 if the line p has slope 8 and y-intercept (0, 5). Line r is the result of dilating line p by a factor of 3 with center (0, 3) option (A) is correct.
Learn more about the linear equation here:
brainly.com/question/11897796
#SPJ2
How do you balance these Chemical equations?
1.C+ ZnO= Zn+CO2
2.Pb+HCl=PbCl2+H2
Please show your work.
Answer:Zno C Zn co2
Step-by-step explanation:
C is a reducing agent, ZnO is an oxidizing agent. ; White, odorless solid.
The graph above is a linear equation that includes the points (-3,-2) and (-1,2). Find the slope of the line. Explain how you arrived at your
answer.
Answer:
The slope is 2 and the equation would be m(x)=2x+4.
Step-by-step explanation:
y/x so by looking at the graph you would go up to units and over l unit, therefore giving you the slope of 2.
Find the volume of a sphere with a radius of 7.8cm.
Answer:
Step-by-step explanation:
volume of sphere=4/3 π (7.8)³
=4/3π×474.552
=π×4×158.184
=632.736π
≈1987.799 cm³
what is 4 1/8 - 2 2/3 to the nearest whole number
Answer:
1 11/24
Step-by-step explanation:
:))
I will give brainlyist and extra points for correct answer ( no links )
Answer:
7. 56
8. 117
Step-by-step explanation:
7.
Add the lengths of the sides. Each square on the grid has side 2 units.
9 + 4 + 4 + 8 + 11 + 3 + 2 + 15 = 56
8.
Find the lengths of the bases and the height of the trapezoid. Each square on the grid is 2 units.
Area of trapezoid = (1/2)(b1 + b2)h
area = (1/2)(15 + 11)(9) = 117
Alan has forgotten his 4-digit PIN code. He knows the first digit is odd, and the last digit is a 5. How many different sets of 4 digits could it be?
Answer:
72
Calculate one by one:
9P2
4. The sum of two integers is -1. The product of the
integers is 72. Find the integers.
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Answer:
none such
-9 and +8 have a sum of -1 and a product of -72
Step-by-step explanation:
There are no two integers with the same sign that have a product of +72 and a sum of -1.
The two integers -9 and +8 have a product of -72 and a sum of -1.
PLEASE HELP I NEED HELP NO SCAM LINKS
Answer:
D
Step-by-step explanation:
Answer:
A - the X intercept will be negative
If you need further guidance, I'm here to help!
~ PumpkinSpice1
Of the 31 teachers at Keenan's high school, 14 are female. What is the ratio of the number of female teachers to the number of male teachers?
Answer:
The answer is 14:17
Step-by-step explanation:
31-14 is 17 and 14 are female and 17 are male so we do 14:17
What's the volume of 2 inches 1 inch and 4 inches
Answer:
1=1
2=8
4=64
Step-by-step explanation:
If it's cubic inches then
ax a x a
So if it's 1 then it's 1
If it's 2 it's 8
If it's 4 it's 64
If a certain roundabout has diameter of 96 feet,
about how far would a car travel if it drove once
around?
A. 150.8 feet
B. 301.6 feet
C. 348.5 feet
D. 7,238.2 feet
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Answer:
B. 301.6 ft
Step-by-step explanation:
The circumference of the circle is given by the formula ...
C = πd
For a diameter of 96 ft, the circumference of the circle is ...
C = π(96 ft) ≈ 301.593 ft
The car would travel about 301.6 feet.
Use the factor tree to find the prime factorization of 100.
What is the prime factorization of 100?
2 x 5
2 x 2 x 5 x 5
2 x 5 x 10
10 x 10
Answer:
2×2×5×5
Step-by-step explanation:
1st of all they are prime factors
if multiplied give us 100
Answer:
2 × 2 × 5 × 5 is the correct one
Step-by-step explanation:
Got it right on edge
need help solving these 4 problems
Answer:
A)5
D) Z
I dunno
D) X
number 68 I dunno sorry
Answer:
66) A) 5
67) D) Z
68) D) T
69) D) X
Which of the decimals or fractions is not equal to 0.825 or ?
loo
.
O
0.625
10
16
O 0.85
33
40
I'm confused can u tell me the question in comments
Please help will give brainliest answer
Answer:
Both of them, since if you simply their factorizations you will get 45y^6
Which one is right can y help me
Answer:
What are you trying to find out? Like what do you mean by which one is right?
Step-by-step explanation:
1. Select all the relationships that demonstrate a positive association between variables.
(Sketch a graph if needed in order to identify a positive relationship)
A. Outside temperature and cost to heat a home
B. Number of people in a grocery check-out line and how long you have to wait to check out
C. Length of time you have walked and distance you have traveled
D. Pounds of cherries you buy and amount of money you spend on cherries
E. Speed of a train and the amount of time it takes for the train to get to its destination
volume of a cylindrical can of juice is 500cm3 and the diameter of its base is 8 cm find the height of the can of pineapple juice
Answer:
Height = 2545.45cm
Step-by-step explanation:
Volume of cylinder = pie r^2 h
500 = 22/7*4*4*h
500*7/22*16 = h
2545.45cm = h
A circle's area is directly proportional to its radius squared.
What is the constant of proportionality (to 2 decimal places)?
(Area of a circle = rr2)
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Answer:
3.14
Step-by-step explanation:
The formula for the area of a circle is ...
A = πr²
The constant of proportionality is the constant in this equation: π. To two decimal places, the value of π is 3.14.
The constant of proportionality is about 3.14.
Write an equation of the line with the given slope, m, and y-intercept (0,b).
m = 2, b = 1
Answer:
[tex]\boxed {\boxed {\sf y=2x+1}}[/tex]
Step-by-step explanation:
Equations of line are written in slope-intercept form, or
[tex]y=mx+b[/tex]
where m is the slope and b is the y-intercept. We know that the slope is 2 and the y-intercept is 1, because we are given:
[tex]m=2 \\b=1[/tex]
Substitute the values into the formula.
[tex]y=2x+1[/tex]
The equation of the line is y=2x+1
6)
(y = -2x + 9
(5x - 2y = 18
yo i need help
Answer:
use the app photomath
Step-by-step explanation:
Can I please get help with this
9514 1404 393
Answer:
35x + 20 ≥ 1000x ≥ 28Step-by-step explanation:
The number of filled bags will be 35 for each hour (x) that Jackson works, in addition to those already filled. So, the total number filled after x hours is ...
35x + 20
We want that number to be at least (greater than or equal to) 1000, so the relation is ...
35x +20 ≥ 1000
__
To solve this, we first subtract 20:
35x ≥ 980
Now, we can divide by the coefficient of x.
x ≥ 980/35
x ≥ 28 . . . . . the solution