Answer:
the answer is 30 percent.
Step-by-step explanation:
i did it on acellus.
Which of the following is the point and slope of the equation y + 14 = 7(x - 18)?
Answer:
y = 7x - 140
The slope is 7
The y-intersept is -140
= (7, -140)
Step-by-step explanation:
y + 14 = 7(x - 18)
y + 14 = 7x - 126
y =7x - 126 - 14
y = 7x - 140
Yanni read 24 pages of
a book. 1 of the book is
still left to read. How many
pages are there in the
whole book?
There are 9 members of Collin colleges board of trustees how many different ways can a chairman a vice chairman a secretary and a treasurer be selected
Answer:
Amount of members = 9
then we multiply the different probabilities of the trustess which is 4, so we do 9 x 4= 36
Step-by-step explanation:
So there are 36 different ways
answer: 36 different ways
79
Work out the circumference of this circle.
Take a to be 3.142 and write down all the digits given by your calculator.
14 cm
Answer: 43.988
Step-by-step explanation: The formula for the circumference of a circle is the diameter multiplied by pi. Since the diameter is 14 and it is telling us to use 3.142 as pi, we can multiply the two and get the answer.
Identify the constant of proportionality from the table.
х у
2 18
5 45
7
63
8 72
A. 18
B.
C. 9
0 D. 2
< PREVIOUS
Select the correct answer.
Which is the minimum or maximum value of the given function?
dndnsn
Answer:
See explanation
Step-by-step explanation:
The question is incomplete, as the function is not given. So, I will make an assumption.
A quadratic function is represented as:
[tex]f(x) = ax^2 + bx + c[/tex]
If [tex]a > 0[/tex], then the function has a minimum x value
E.g. [tex]f(x) = 4x^2 - 5x + 8[/tex] ------ [tex]4 > 0[/tex]
Else, then the function has a maximum x value
E.g. [tex]f(x)= -4x^2 -5x + 8[/tex] ---- [tex]-4 < 0[/tex]
The maximum or minimum x value is calculated using:
[tex]x = -\frac{b}{2a}[/tex]
For instance, the maximum of [tex]f(x)= -4x^2 -5x + 8[/tex] is:
[tex]x = -\frac{-5}{2*-4}[/tex]
[tex]x = -\frac{5}{8}[/tex]
So, the maximum of the function is:
[tex]f(x)= -4x^2 -5x + 8[/tex]
[tex]f(-\frac{5}{8}) = -4 * (-\frac{5}{8})^2 - 5 *(-\frac{5}{8}) +8[/tex]
[tex]f(-\frac{5}{8}) = 9.5625[/tex]
it is found that 4% of watches produced at a particular factory are defective. If 20 watches made at this factory are randomly selected, what is the probbility that at mpst 1 watch in the same sample is found to be defective
Answer:
0.81 = 81% probability that at most 1 watch in the sample is defective.
Step-by-step explanation:
For each watch, there are only two possible outcomes. Either it is defective, or it is not. The probability of a watch being defective is independent of any other watch, which means that the binomial probability distribution is used to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
And p is the probability of X happening.
4% of watches produced at a particular factory are defective.
This means that [tex]p = 0.04[/tex]
20 watches made at this factory are randomly selected
This means that [tex]n = 20[/tex]
What is the probability that at most 1 watch in the same sample is found to be defective?
This is:
[tex]P(X \leq 1) = P(X = 0) + P(X = 1)[/tex]
In which
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 0) = C_{20,0}.(0.04)^{0}.(0.96)^{20} = 0.442[/tex]
[tex]P(X = 1) = C_{20,1}.(0.04)^{1}.(0.96)^{19} = 0.368[/tex]
Then
[tex]P(X \leq 1) = P(X = 0) + P(X = 1) = 0.442 + 0.368 = 0.81[/tex]
0.81 = 81% probability that at most 1 watch in the sample is defective.
PLEASE HELP on this question
9514 1404 393
Answer:
(s+r)(x) = 3x² +x +1(s-r)(x) = -3x² +x +1(s·r)(-3) = -54Step-by-step explanation:
a) (s+r)(x) = s(x) +r(x) = (x+1) +3x²
(s+r)(x) = 3x² +x +1
__
b) (s-r)(x) = s(x) -r(x) = (x +1) -(3x²)
(s-r)(x) = -3x² +x +1
__
c) (s·r)(-3) = s(-3)·r(-3) = (-3+1)·(3(-3)²) = (-2)(27)
(s·r)(-3) = -54
If 2 inches is 50 miles then how many miles is 9.2 inches
Answer:
Step-by-step explanation:
Answer:
230
Step-by-step explanation:
50: 2
9.2: x
therefore x = 50*9.2 /2 = 230
i think
At a high school basketball game the Lions and the Eagles are playing. The Lions attempted 16 free throws and made 10, attempted 50 two-point shots and made 25, and attempted 16 three-point shots and made 12. The Eagles attempted 27 free throws and made 10, attempted 44 two-point shots and made 9, and attempted 17 three-point shots and made 12. (Free throws are worth 1 point each, two-point shots worth 2 points each, and three-point shots worth 3 points each)
Required:
a. What is the free throw percentage for the Lions?
b. What is the free throw percentage for the Eagles?
c. What is the field goal percentage (two-point and three-point shots combined) for the Lions?
d. What is the field goal percentage (two-point and three-point shots combined) for the Eagles?
e. How many points did the Lions score?
f. How many points did the Eagles score?
g. Which team won the basketball game?
Answer:
a. The free throw percentage for the Lions is of 62.5%.
b. The free throw percentage for the Eagles was of 37.04%.
c. The field goal percentage for the Lions was of 56.01%.
d. The field goal percentage for the Eagles was of 34.43%.
e. The Lions scored 96 points.
f. The Eagles scored 64 points.
g. Lions
Step-by-step explanation:
a. What is the free throw percentage for the Lions?
10 out of 16, so:
10*100%/16 = 62.5%.
The free throw percentage for the Lions is of 62.5%.
b. What is the free throw percentage for the Eagles?
10 out of 27, so:
10*100%/27 = 37.04%
The free throw percentage for the Eagles was of 37.04%.
c. What is the field goal percentage (two-point and three-point shots combined) for the Lions?
25 + 12 = 37 out of 50 + 16 = 66. So
37*100%/66 = 56.01%.
The field goal percentage for the Lions was of 56.01%.
d. What is the field goal percentage (two-point and three-point shots combined) for the Eagles?
9 + 12 = 21 out of 44 + 17 = 61. So
21*100%/61 = 34.43%
The field goal percentage for the Eagles was of 34.43%.
e. How many points did the Lions score?
10 free throws, 25 two's and 12 three's. So
[tex]10 + 25*2 + 12*3 = 96[/tex]
The Lions scored 96 points.
f. How many points did the Eagles score?
10 free throws, 9 two's and 12 three's. So
[tex]10 + 9*2 + 12*3 = 64[/tex]
The Eagles scored 64 points.
g. Which team won the basketball game?
The Lions scored more points, so they won.
Answer:
avaavavavavav
Step-by-step explanation:
please help me out asap (geometry)
Answer:
SAS
Step-by-step explanation:
AB=DC which is one side
angles ABC and DCB are both right angles so they are equal
BC=BC because they are the same line segment
and since the congruent angles are between the congruent sides, its SAS
What is the value of the expression (2x + y) (2x - y) when x = 4 and y = -5?
Answer:
39
Step-by-step explanation:
1. (2(4)-5)(2(4)+5)
2.(3)(13)
3.39
Answer:
Step-by-step explanation:
This is a difference of squares question. You should 64 = 25 = 39 Let's see if that happens.
Difference of squares
(2x - y) ( 2x + y) = 4x^2 - y^2
4(4)^2 - (5)^2
64 - 25 = 39
Now do the question exactly as it is written.
(2*4 - -5)(2*4 + -5)
(8 +5)(8 - 5)
3 * 13
39
They really do give the same answer.
Eleven seconds after a deep sea diver jumps into the ocean he is 69 feet below sea level and 28 seconds later, he is195 feet below sea level. If he is descending under water at a constant rate, how many feet below sea level will hebe 1.5 minutes after his initial descent
Answer: [tex]405.7\ ft[/tex]
Step-by-step explanation:
Given
After 11 sec, diver is 69 feet below sea level
after 28 s , it is 195 feet
rate of traveling
[tex]\Rightarrow u=\dfrac{195-69}{28}\\\\\Rightarrow u=4.53\ ft/s[/tex]
after 1.5 minutes, that is 90 s, diver must have traveled
[tex]\Rightarrow d=4.53\times 90\\\Rightarrow d=407.7\ ft[/tex]
Answer:
7299 feet
Step-by-step explanation:
At 11 second the depth is 69 feet
At 28 seconds the depth is 195 feet
Let the initial velocity at the time t = 0 is u.
Use second equation of motion
[tex]s = u t +0.5 at^2\\\\69 =11 u + 0.5 a\times 11\times 11\\\\69 = 11 u + 60.5 a..... (1)\\\\195 = u (28 -11) +0.5 a\times (28-11)^2\\\\195 = 17 u + 144.5 a .....(2)[/tex]
By soling (1) and (2)
a = 1.73 m/s^2, u = 3.25 m/s
So, the distance in 1.5 minutes is
h = 3.25 x 1.5 x 60 + 0.5 x 1.73 x 1.5 x 1.5 x 60 x 60
h = 292.5 + 7006.5 = 7299 ft
Find the area of a circle having a radius of 9 cm
Answer:
81 pi cm^2
or approximately 254.34 cm^2
Step-by-step explanation:
The area of a circle is given by
A = pi r^2
A = pi (9)^2
A = 81 pi
Using 3.14 as an approximation for pi
A = 81 (3.14)
A =254.34 cm^2
Answer:
81pi cm^2
Step-by-step explanation:
formula : pi*r^2
pi*9^2
pi*81
Use elimination
X+y =9
X-y=7
Answer:
x = 8
y = 1
Step-by-step explanation:
x + y = 9
- ( x - y = 7)
-------------------
2y = 2
y = 2/2
y = 1
x + y = 9
x + ( 1 ) = 9
x = 9 - 1
x = 8
Find the range from the ordered pair {(1, 2), (2, 3), (3, 4), (4, 5)}
Answer:
Range { 2,3,4,5}
Step-by-step explanation:
The range is the output values
Range { 2,3,4,5}
A cell phone company claims that the average time a person spends on their phone is 12.8 hours a week. A sample of unknown size of phone users was selected, and the mean time they spent on their phones was 12.2 hours in a week, with a standard deviation of 2.3 hours. Using a 90% confidence level, how many people would the company have to sample in order for their hypothesis to be true
Answer:
30
Step-by-step explanation:
The sample size should be 30 for the given confidence interval of 90%.
Sample size is calculated as follows:
Sample size = Z score ^2 * standard deviation * [ 1 - Standard deviation] / margin of error^2
For the given 90% confidence level, the sample size calculated as;
Sample size = 1.645^2 * 2.3 [1 - 2.3] / 0.01^2
sample size = 30.
Which expression is equal to
(3x – 4)(2x – 5)?
Answer:
6x^2-23x+20
Step-by-step explanation:
i think the expanded form of that equation is equal to it.
(3x-4)(2x-5)
3x(2x-5)-4(2x-5)
6x^2-15x-8x+20
6x^2-23x+20
I hope this helps and sorry if it's wrong
The line l with equation x - 2y + 2 = 0 crosses the y-axis at the point P. The line
m with equation 3x + y - 15 = 0 crosses the y-axis at the point Q and intersects
l at the point R. Find the area of triangle PQR.
Answer:
Area of ΔPQR is 28 units²
Step-by-step explanation:
-P is the point with coordinates ( 0, y-intercept for line x-2y+2 =0)
-rearrange the equation in the point-slope form y=mx+b to find the y coordinate of the point P( 0, b)
x-2y+2 = 0, subtract x and 2 from both sides
-2y = -x-2, divide by -2 both sides
y= (1/2)x +1 so b=1 and P (0, 1)
-Q is the point with coordinates ( 0, y-intercept for line 3x+y -15 =0)
-rearrange the equation in the point-slope form y=mx+b to find the y coordinate of the point Q( 0, b)
3x +y -15 =0, subtract 3x and add 15 to both sides
y= -3x +15 so b=15 and Q(0,15)
-R is the intersection of the two lines so is the solution of the system of equations y= (1/2)x +1 and y= -3x +15
(1/2)x +1 = -3x +15, add 3x and subtract1
(1/2) x+3x = 15-1, combine like terms
(7/2)x = 14 , multiply both sides by 2
7x = 28, divide both sides by 7
x= 4
y= (1/2)x +1 = (4/2) +1 =3 so R(4,3)
- the area of ΔPQR is (base *height)/2
base= 15-1= 14
height = 4
A= (14*4)/2 = 14*2 = 28
Find the surface of the figure round your answer to the nearest tenth if necessary
9514 1404 393
Answer:
192 cm²
Step-by-step explanation:
The total surface area is the sum of the two triangular base areas and the three rectangular lateral face areas.
SA = 2(1/2)(6 cm)(8 cm) + (6 cm +8 cm +10 cm)(6 cm) = 192 cm²
The surface area of the figure is 192 square centimeters.
A survey of households in a small town showed that in 850 of 1,200 sampled households, at least one member attended a town meeting during the year. Using the 99% level of confidence, what is the confidence interval for the proportion of households represented at a town meeting?
Answer:
Hence the confidence interval is ( 0.6745, 0.7422).
Step-by-step explanation:
Now the given are
Sample size = n = 1200
x = 850
Sample proportion is
[tex]\hat{p}=\frac{x}{n}=\frac{850}{1200}=0.7083[/tex]
We have to construct 99% confidence interval for the population proportion.
Formula Used:
[tex](\hat{p}-E , \hat{p}+E)[/tex]
Here E is a margin of error.
[tex]E =Zc\times\sqrt{\frac{\hat{p}(1-\hat{p})}{n}}[/tex]
Zc = 2.58
[tex]E =2.58\times\sqrt{\frac{0.7083*(1-0.7083)}{1200}}\\\\E=2.58\times\sqrt{0.000172}=0.0339[/tex]
So confidence interval is ( 0.7083 - 0.0339 , 0.7083 + 0.0339)
= ( 0.6745 , 0.7422).
What is the solution to the inequality -6+|2p+3| > 7
Step-by-step explanation:
you're going to have to set up two expressions since it's an absolute value problem
Find the area of athletic field if it's length is 120cm and its width is 28cm .A. 397.6cm B. 3360cm C. 296 cm D. 4592cm E. 3356cm
Answer:
B 3360
Step-by-step explanation:
Area of Rectangle = Length X Width
120 X 28
= 3360 cm
Answered by Gauthmath
Find the unlabeled side length
Answer:
hope it helps you.......
Answer:
The unidentified length is 13
Step-by-step explanation:
To solve this we have to use the Pythagorean Theorem
[tex]a^2+b^2=c^2\\5^2+12^2=c^2\\25+144=c^2\\169=c^2\\13=c[/tex]
57 117find x triangle
Answer:
60
Step-by-step explanation:
x = 180 - [ 57 + ( 180 - 117 ) ]
= 180 - [ 57 + 63 ]
= 180 - 120
x = 60
HELPPP PLEASE ASAP!!! I don’t know how to solve this problem nor where to start? Can some please help me out and explain how you got the answer please. Thank you for your time.
Step-by-step explanation:
Count the number of times you have to move the decimal point to the right until it is to the right of the 1st nonzero number.
a) You have to move the decimal point 11 times until it gets to the right of the 1st nonzero number, which is 7. You then rewrite this number as
[tex]7.2×10^{-11}[/tex]
The exponent of 10 is a negative number because you moved the decimal point to the right.
b) Similarly, you have to move the point 9 times to the right so the answer is
[tex]9.5×10^{-9}[/tex]
HELPPPP
what is this
Answer:
Pls be specific with your question
Can someone please help me?
you have to read the bottom link for the answer key
What is the volume of a calculate the total surface area of a cuboid with the following dimensions (4m by 6m by 8m)
Answer:
V =192 m^3
Step-by-step explanation:
The volume of a cuboid is
V = l*w*h where l is length w is width and h is height
V = 4*6*8
V =192 m^3
Helloo everyone can you please help me on this pls
Answer: [tex]6 \frac{1}{2}[/tex]
This is the same as writing 6 & 1/2 or 6 1/2
======================================================
Explanation:
Notice that 13/2 = 6.5
So we can have 6 full vials, plus a bit left over. The leftover bit is 0.5 which converts to 1/2
So 6.5 in decimal form converts to the mixed number [tex]6 \frac{1}{2}[/tex]
This mixed number does not mean 6 times 1/2. It means 6 whole vials plus another 1/2 a vial. The notation is probably a bit confusing. It might be easier to say [tex]6 + \frac{1}{2}[/tex], but the drawback is now things are a bit clunky.
On a keyboard, we could write [tex]6 \frac{1}{2}[/tex] as 6 & 1/2 or as 6 1/2. The spacing is important to separate out the whole and fractional parts.
To be perfectly honest, I don't like the notation 6 1/2 because to me it seems too vague, and it might be mistaken for 61/2. I prefer the 6 & 1/2 notation more since it's more descriptive and we wouldn't have a mix-up. But be sure to type in the answer in the format your teacher wants.
