Answer:
twenty-four and twenty-sevenths
Step-by-step explanation:
-2=k+7/3. solve for k
Answer:
K=-13
Step-by-step explanation:
-2=(k+7)/3
-6=k+7
-13=k
Suppose that 20% of the subscribers of a cable television company watch the shopping channel at least once a week. The cable company is trying to decide whether to replace this channel with a new local station. A survey of 100 subscribers will be undertaken. The cable company has decided to keep the shopping channel if the sample proportion is greater than 0.27. What is the approximate probability that the cable company will keep the shopping channel, even though the true proportion who watch it is only 0.20
Answer:
There is approximately 4% chance that the cable company will keep the shopping channel, even though the true proportion who watch it is only 0.20.
Step-by-step explanation:
The random variable X can be defined as the number of subscribers of a cable television company who watch the shopping channel at least once a week.
X follows a Binomial distribution with parameters n = 100 and p = 0.20.
But the sample selected is too large and the probability of success is close to 0.50.
So a Normal approximation to binomial can be applied to approximate the distribution of X if the following conditions are satisfied:
1. np ≥ 10
2. n(1 - p) ≥ 10
Check the conditions as follows:
[tex]np=100\times 0.20=20>10\\\\n(1-p)=100\times 0.80=80>10[/tex]
Thus, a Normal approximation to binomial can be applied.
[tex]\hat p\sim N(p,\frac{p(1-p)}{n})[/tex]
Compute the approximate probability that the cable company will keep the shopping channel, even though the true proportion who watch it is only 0.20 as follows:
[tex]P(\hat p>0.27)=P(\frac{\hat p-p}{\sqrt{\frac{p(1-p)}{n}}}>\frac{0.27-0.20}{\sqrt{\frac{0.20(1-0.20}{100}}})[/tex]
[tex]=P(Z>1.75)\\=1-P(Z<1.75)\\=1-0.95994\\=0.04006\\\approx 0.04[/tex]
Thus, there is approximately 4% chance that the cable company will keep the shopping channel, even though the true proportion who watch it is only 0.20.
3. Give the domain of y= √6-X using set builder notation.
Answer:
{x | x ≤ 6}
Step-by-step explanation:
Given
y = √(6 - x)
Required
Determine the domain
We start by setting 6 - x to ≥ 0.
i.e.
6 - x ≥ 0
Add x to both sides
6 - x + x ≥ 0 + x
6 ≥ x
This can be rewritten as
x ≤ 6
Using set builder, the above van be represented as: {x | x ≤ 6}
Please help
For the sequence 12,8,4...
write the explicit rule..
Find the 100th term...
Is this a function or relation? Why?
Answer: ion evn kno cuh
Step-by-step explanation:
Answer:
This is arithmetic sequence and the common difference is equal to -4.
Step-by-step explanation:
If yuh just want the answer here, not explained
a triangle with vertices at a 20 -30 b 10 -15. and c 5 -20 has beem dilated with a center of dilation at the origin the image of b point b has coordinates 2 -3 what is the scale factor of the dilation
Answer:
1/5
Step-by-step explanation:
When the dilation is centered at the origin, the dilation factor is applied to each pre-image coordinate to get the image coordinate.
k(10, -15) = (2, -3)
k = 2/10 = -3/-15 = 1/5
The scale factor of the dilation is 1/5.
Multiply 5 1/2 x 1 2/5
Step-by-step explanation:
[tex]5 \frac{1}{2} \times 1 \frac{2}{5} \\ \\ \frac{11}{2} \times \frac{7}{5} \\ \\ \frac{77}{10 } = 7.7[/tex]
Evaluate this exponential expression. 4^5
Answer:
1024
Step-by-step explanation:
4⁵ is 4 multiplied 5 times.
4⁵ = 4 · 4 · 4 · 4 · 4
16 · 4 · 4 · 4
64 · 4 · 4
256 · 4
1024
Can someone please help me with these 3 questions?
1) Since the angles are congruent, set them up to equal each other, then solve for x: x + 10 = 50. Now solve
2) Since angles AEC and DEB are congruent, set them up also to equal each other, then solve. : 6x + 20 = 10x. Now solve for x
3) Since AEC and DEB are congruent, they have the exact same angle measurement. Because of this, you are able to set the two equations equal to each other, then solve for x. After you have the value of x, you can plug it into 5x + 12 and solve once again, resulting in the answer for the measurement of angle AEC.
Use the drop-down menus to complete the sentences:
The terminal ray of an angle measuring -10/9pie at lies in the
quadrant.
This angle measures
Answer:
1. second
2. -200
Step-by-step explanation:
Just did it on e2020
what is the greatest common factor of 42cand 50
Answer:
2
Step-by-step explanation:
There is no way that is collage math
As an estimation we are told 5 miles is 8 km.
Convert 20 miles to km.
The EverGlow nuclear power plant releases water into Lake Fishbegone every afternoon at 4:51 p.m. Environmental researchers are concerned that fish are being driven away from the area around the plant. They believe that the temperature of the water discharged may be a factor. The data table below gives the temperature of the water released by the plant and the measured distance (in meters) from the outflow pipe of the plant to the nearest fish found in the water on several randomly chosen afternoons. A scatterplot of the data and the least-squares regression line are given.
What is the slope of the least-squares regression line? *
A. -74.704
B. 5.791
C. 12.196
D. 0.946
9514 1404 393
Answer:
B. 5.791
Step-by-step explanation:
The slope of the line is the coefficient of x in its equation. The equation is ...
ŷ = -74.704 +5.791x
The coefficient of x, the slope, is 5.791.
4+7x=-10+5x please answer
X=-7
---------------------------------------------------------
PLZ ANSWER FASTTTTT (70 POINTSSSS)
Your parents deposited $1,500 into a new college fund that will earn an annual compound interest rate of 3%. How much money will be in the account when you need it for college in 5 years? (write and use the compound interest formula)
THANK YOU!!
Answer:
$1738.91Step-by-step explanation:
Given
Deposit: P = $1500Interest rate: r = 3% = 0.03 compoundedTime: t = 5 yearsCompound number: n =1 per yearFinal amount A= ?Formula for compound interest is:
A = P(1 + r/n)^ntSubstituting values
A = 1500(1 + 0.03/1)^1*5 =1500(1.03^5) = $1738.91I need help plzz I need the answer
Answer:
24cm
Step-by-step explanation:
you do length times width and you get 24
is (5 , -11) a solution to a function y= -2x+1
Answer:
No
Step-by-step explanation:
y = -2x + 1
(-11) = -2(5) +1 \ Plug-in the values from the point given
-11 = -10 + 1 \ Reduce
-11 = -9 \ Simplify
-11 ≠ -9 \ Determine the valididity
-2 = g -9g what is the answer to this
Answer:G=1/4 or the same as g=0.25
Step-by-step explanation:
Answer:
1/4 is the answer.
Step-by-step explanation:
So first, you subtract the g-9g. You get -2 = -8g, correct?
Next, you divide -2 by -8, you then get -2/-8
This simplifies to 1/4.
Hope this helped. :)
The Castillo de San Marcos is a Spanish
fortress that was built between 1672
and 1695.
a. Rounded to the nearest ten
thousand, how many pesos did it
cost to build the fortress?
It cost 138,375
pesos to build this
fortress
b. How many years did it take to build
the fortress?
Answer:
a. 14,000 pesos
b. 23 years
Step-by-step explanation:
Can someone help me? Please I’m not great at math. Everything is in the pictures.
Answer:
Hi There
Your answers are:
4) 12/3
-10) YES!
0/10) 0 (zero)
2 & 3/4 ) 11/4
10 & 1/2 ) 21/2
.3) 3/10
-.16) -4/ 25
3.17) 3 & 17 /100
.3 repeating ) YES
.16 repeating) 1/ 6
-1.2 repeating ) YES!
If a decimal does not terminate or repeat is is not a rational number
Step-by-step explanation:
For 4)
4/1 = 12/x
Ask yourself, how do i get from 4 to 12?
Multiply by 3! HOWEVER, whats done to the numerator MUST be done to the denominator!
4/1 * 3/3 = 12/3
For -10 )
-10/1 = -20/2
Simplify -20/2!
Divide -20 by 2 = -10
-10/1 = -10/1 YES!
For 0/10 )
When you have ZERO tenths, what does that equal? Zero!
For 2 & 3/4ths )
To change to an improper fraction, multiply the 2 by the denominator and add that to the numerator. Put that over the original denominator
(2*4 +3) / 4
8+3 / 4 = 11/4
For 10 & 1/2 )
Repeat what you did for 2& 3/4ths!
(10*2+1)/2
20+1/2
21/2
Question
Tom's bank account earns 6% simple interest per year. If Tom deposits $600 and then does not make any additional
deposits or withdrawals, what will the balance on the account be after 5 years?
Round your answer to the nearest dollar.
Provide your answer below:
Multiply (−4)(−2)(−5)
A −40
B -8
C 8
D 40
Answer: A. -40
Step-by-step explanation:
-4 x -2 equals 8, 8 times -5 equals -40
Any negative number times another negative number equal a positive number. That number would be 8, but then you multiply 8 which is a possitive number by -5 which is a negative number you would get a negative number again (-40). Is it a trick question or something?
Which equation represents the function graphed on the
coordinate plane?
O g(x) = |x - 41 - 10
O g(x) = 5x + 41 - 10
O g(x) = \X – 10| + 4
O g(x) = (x + 101 – 4
The equation that represents the graph is g(x) = |x + 4| - 10.
The correct option is B.
What is transformation on the graphs?Let the functions f(x) and g(x) be two real functions.
And g (x) = f (x) + k, where k is real numbers.
The function can be sketched by shifting f (x), k units vertically.
The direction of shift can be found by the value of k:
if k > 0, the base graph shifts k units up, and
if k < 0, the base graph shifts k units down.
The function provided by the basic function f(x) and the constant
g(x) = f(x - k),
may be drawn by horizontally moving the f(x) k unit coordinates.
The shift's direction depends on the value of k. Specifically,
The base graph moves k units to the right if k > 0, and
The base graph moves k units to the left if k < 0.
Since the graph of the parent function is g(x) = |x|, the transformed graph is obtained by shifting it 4 units to the left and 10 units down. This can be achieved by applying the following transformations to the parent function:
Shift 4 units to the left: g(x + 4) = |x + 4|
Shift 10 units down: g(x + 4) - 10 = |x + 4| - 10
Therefore, the equation for the transformed function is g(x + 4) - 10 = |x + 4| - 10.
To learn more about the transformation on the graphs;
https://brainly.com/question/19040905
#SPJ7
Kevin has 3 fewer leaves than sandy. Sandy has 3 leaves. How many leaves does Kevin have?
Answer:
0 leaves
Step-by-step explanation:
Answer:
tiene 0
Step-by-step explanation:
0 hojas
Ian walks down a sloped path. After 6 minutes, he is 3 m above street level. Write the equation in slope-intercept form of the line that represents Ian’s height above street level, y, over time x, if he knows the path is parallel to another path with equation y = -2/3x + 12
Answer:
y=-2/3x+7
Step-by-step explanation:
Since you know the path is parallel to the equation y+-2/3x+12, you already know the slope is -2/3.
It says y is the height above street level, so that is 3. The problem says x is time, which is 6, so all you have to solve for is the y intercept.
3 (y, or the height above street level) = (-2/3) 6 (x, or time) + b (unknown y intercept)
3 = -4 + b
7 = b
So, y = -2/3x + 7
Can you answer this for me
Answer:
5
Step-by-step explanation:
[tex]\sqrt(-3)^{2}+4^2[/tex]
[tex]\sqrt9+16[/tex]
[tex]\sqrt25[/tex]
If g(x) = 4x2 + 3x - 25, what is the value of g(-10)?
F -445
G 25
H 1545
J 345
Answer:
g(-10) = 345
Step-by-step explanation:
g(x) = 4x² + 3x - 25
~Substitute
g(-10) = 4(-10)² + 3(-10) - 25
~Simplify
g(-10) = 4(100) - 30 - 25
~Multiply
g(-10) = 400 - 30 - 25
~Subtract
g(-10) = 370 - 25
~Subtract
g(-10) = 345
Best of Luck!
evaluate the expression 3 x when x equals negative 9
[tex]given \: that \: :[/tex]
[tex]x \: = - 9[/tex]
[tex]then \: 3x \: will \: be : [/tex]
[tex]3 \times x[/tex]
[tex]3 \times - 9[/tex]
[tex] = - 27[/tex]
[tex]∴3x = - 27 \: ( \: x \: = - 9)[/tex]
Jordan Ellen recycle cans Jordan recycle seven cans for every 12 cans Ellen recycled last week how many total cans did Jordan and Ellis recycle last week.
Answer:
Ellen sold 42 cans and they sold 114 cans lastweek (both Ellen and Jordan)
Step-by-step explanation:
The oroginal ratio is 7:12 for every 12 cans ellen collects Jordan collects 7 so inorder to find the number of cans Ellen sold you have to figure out what 7 was multiplied by to get 42, and that would be 6. Then you multiply 12 by 6 and get 72 so ELlen sold 72 cans.
Now the new ratio is 42:72 when you add them together you get 114 so they sold (together) 114 cans last week.
HOPE THIS HELPS ↖(^ω^)↗
(-2x)^4 Simpify the number
Answer:
d
Step-by-step explanation:
i like ya cut g
20 POINTS !!!!
The roots of the equation x^2+bx+c=0 are −4 and 2. Find b.
first, love the killua profile picture ! i love hunterxhunter i am currently on season 5, episode 44 or 45 aka 119 or 120 but anyways,
answer:
b = 2
step-by-step explanation:
because its roots are -4 and 2,
and a = 1 [The coefficient of [tex]x^2[/tex]] we know that [tex]x^2 + bx + c = (x - (-4)) (x-2)=(x+4)(x-2) = 0.[/tex]
using the distributive property we get,
[tex]x^2 + 2x - 8 = 0.[/tex]
by equating coefficients (common strategy for partial fractions and undetermined coefficient method of solving ODE), we get b = 2 and c = -8 ( solved c just for fun guess :) ) .
hope this helps :)
-audrey <3