Complete Question
One consequence of the popularity of the internet is that it is throughout to reduce television watching. Suppose that a random sample of 55 individuals who consider themselves to be avid Internet users results in a mean time of 2.10 hours watching television on a weekday. The standard deviation is [tex]\sigma = 1.93[/tex]
Required:
Determine the likelihood of obtaining a sample mean of 2.10 hours or less from a population whose mean is presumed to be 2.45 hours.
Answer:
The likelihood is [tex]P(X \le 2.10 ) = 0.08931[/tex]
Step-by-step explanation:
From the question we are told that
The sample size is [tex]n = 55[/tex]
The population mean is [tex]\mu = 2.45 \ hours[/tex]
The random mean considered [tex]\= x = 2.10 \ hours[/tex]
Generally the standard error of mean is mathematically represented as
[tex]\sigma _{\= x } = \frac{\sigma }{ \sqrt{n} }[/tex]
=> [tex]\sigma _{\= x } = \frac{1.93 }{ \sqrt{55} }[/tex]
=> [tex]\sigma _{\= x } = 0.2602[/tex]
The likelihood of obtaining a sample mean of 2.10 hours or less from a population whose mean is presumed to be 2.45 hours is mathematically represented as
[tex]P(X \le 2.10 ) = 1 - P(X > 2.10 ) = 1 - P( \frac{X - \mu }{\sigma_{\= x }} > \frac{ 2.10 - 2.45}{ 0.2602} )[/tex]
Generally [tex]\frac{X - \mu }{\sigma_{\= x }} = Z(The \ standardized \ value \ of \ X )[/tex]
[tex]P(X \le 2.10 ) = 1 - P(X > 2.10 ) = 1 - P( Z > -1.345 )[/tex]
From the z-table the value of
[tex]P( Z > -1.345 ) = 0.91069[/tex]
So
[tex]P(X \le 2.10 ) = 1 - P(X > 2.10 ) = 1 - 0.91069[/tex]
[tex]P(X \le 2.10 ) = 1 - P(X > 2.10 ) = 0.08931[/tex]
[tex]P(X \le 2.10 ) = 0.08931[/tex]
Combine the like terms to create an equivalent expression. 5x - x
Answer:
the answer is 4x
Step-by-step explanation:
you are subtracting 1x
1 x 10^12 = 9 x 10^8 (8/d^2) solve for d
Answer: Go here https://quickmath.com/webMathematica3/quickmath/equations/solve/basic.jsp
Step-by-step explanation:
It will show you how
How to find solutions to Discriminat
Answer:
The discriminant is the expression b2 - 4ac, which is defined for any quadratic equation ax2 + bx + c = 0. Based upon the sign of the expression, you can determine how many real number solutions the quadratic equation has. If you get a positive number, the quadratic will have two unique solutions
Step-by-step explanation:
hope it help
Answer:
D = b² - 4ac
Step-by-step explanation:
if,
ax² + bx + c = 0
Which number is a solution of the inequality 8 - 1/4 b > 27?
Answer:
b< -76
Step-by-step explanation:
8 - 1/4 b > 27 ⇒ add -8 to both sides-1/4b > 27 - 8 -1/4 b > 19 ⇒ multiply both sides by -4b < - 4*19 ⇒ change inequality sing to opposite due to multiplication to negative numberb < - 76 ⇒ answerAnswer is any number smaller than -76
Answer:
Answer:
b< -76
Step-by-step explanation:
8 - 1/4 b > 27 ⇒ add -8 to both sides
-1/4b > 27 - 8
-1/4 b > 19 ⇒ multiply both sides by -4
b < - 4*19 ⇒ change inequality sing to opposite due to multiplication to negative number
b < - 76 ⇒ answer
Answer is any number smaller than -76
Step-by-step explanation:
Name the line segments
Answer:
EF, FG, GH, EG, FH, EH
Step-by-step explanation:
These are all the ones under def. line segment.
See the attachment. It will be helpful.
if the length of rectangle changes from 148.5cm to 144 cm. Find the percentage
change in the length.
Answer:
Original height = 144 cm
Increase height = 148.5 cm
Change in height = 148.5 - 144 = 4.5 cm
Percentage change = change/original ×100
= (4.5 / 148.5) × 100
= 3.03%
The height increased by 3.03%.
Step-by-step explanation:
Answer:
3%
Step-by-step explanation:
148.5 - 144 = 4.5
[tex]\frac{Difference}{Initial Amount}[/tex] × 100
[tex]\frac{4.5}{148.5}[/tex] × 100 = 3.03 ≈ 3%
I would really appreciate it if you would please mark me brainliest!
Have a blessed day!
Alex is making an isosceles triangle-shaped pennant to support her school’s athletic team on sports day as shown below. Side ac is the same length as side an . Alex rotates the pennant 90 degrees clockwise to stick it to the wooden pole
Answer:
104°
Step-by-step explanation:
The marked angles have the same measure, so ...
(4x +10) = (7x -11)
21 = 3x . . . . . . . . . . . add 11-4x
7 = x . . . . . . . . . . . . . divide by 3
Then angle C is ...
C = (4x +10)° = (4(7) +10)° = 38°
The measure of angle A is 180° -2(38°) = 104°.
_____
That angle will have the same measure whether the pennant is rotated or not.
what integer is greater than -5
Answer:
-4,-3,-2,-1,0,+1,+2,+3..........
Step-by-step explanation:
-4 is greater than -5.
What is Number system?A number system is defined as a system of writing to express numbers.
An integer is the number zero, a positive natural number or a negative integer with a minus sign.
We need to find the integer which is greater than -5.
When we look into the number line we get an idea that the numbers with minus values are smaller than the positive values.
The greatest number with minus sign is smaller than the smallest number with minus sign.
-4 is greater than -5.
Not only -4 but the integers -4,-3,-2, -1, 0,1,2..... are greater.
Hence, -4 is greater than -5.
To learn more on Number system click:
https://brainly.com/question/22046046
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24 - 4 x 2 + 4b = 20 - 16
Answer:
b = -3
Step-by-step explanation:
Solve for b:
4 b - 4 2 + 24 = 20 - 16
-4×2 = -8:
4 b + -8 + 24 = 20 - 16
Grouping like terms, 4 b - 8 + 24 = 4 b + (24 - 8):
4 b + (24 - 8) = 20 - 16
24 - 8 = 16:
4 b + 16 = 20 - 16
20 - 16 = 4:
4 b + 16 = 4
Subtract 16 from both sides:
4 b + (16 - 16) = 4 - 16
16 - 16 = 0:
4 b = 4 - 16
4 - 16 = -12:
4 b = -12
Divide both sides of 4 b = -12 by 4:
(4 b)/4 = (-12)/4
4/4 = 1:
b = (-12)/4
The gcd of -12 and 4 is 4, so (-12)/4 = (4 (-3))/(4×1) = 4/4×-3 = -3:
Answer: b = -3
Kevin mowed 12 lawns and earned a total of $60.
Which rate represents the amount of money earned per lawn?
Answer:
$5
Step-by-step explanation:
$60 earned for moving 12 lawns
Amount of money per lawn is:
$60/12= $5Answer is amount per lawn is $5
Answer:
$5
or
$5 / 1 lawn
Step-by-step explanation:
The process is quite simple - especially since you already have half of the answer. The question says money per lawn. The creator of the problem gave away a lot of the answer. They already tell us the rate. Now all ou have to do is plug the numbers in:
Money per lawn
Money / lawns (The slash is used to represent per)
What is the money? $60. So plug that in:
$60 / lawns
How many lawns? 12. Plug that in:
$60 / 12 lawns
Now, all you have to do is either simplify the fraction or divide the denominator by the numerator - whichever one you prefer. In that case, the rate can be any of the following:
$5
$5 / 1 lawn
Hope this helps! Tell me if I am wrong!
Help me please!!! Weekly time card help. $11hr
Answer: 8hrs
Step-by-step explanation:
Factoring Trinomials in Standard form x^2+2x=-1
Answer:
(x + 1)(x + 1) = 0 OR (x + 1)^2 = 0
Step-by-step explanation:
First, we need to get the trinomial x^2 + 2x = -1 all on one side of the equation.
x^2 + 2x = -1
x^2 + 2x + 1 = -1 + 1
x^2 + 2x + 1 = 0
Now that the trinomial is on the left-hand side, let's factor the equation.
x^2 + 2x + 1 = 0
(x + 1)(x + 1) = 0
We can simplify this factored trinomial further to be:
(x + 1)(x + 1) = 0
(x + 1)^2 = 0
Cheers.
Which best describe all possible classifications for the following set of numbers?
{0, 4, 25, 32}
I. Counting Numbers
II. Integers
III. Rational Numbers
IV. Whole Numbers
IV only
IV only
I and IV only
I and IV only
II, III, and IV only
II, III, and IV only
I, II, III, and IV
Answer:
| and |V only
Step-by-step explanation:
4, 25, and 32 are Counting numbers, while 0 is a whole number B)
is -0.23 rational number whole number or integers
Answer:
rational number
Step-by-step explanation:
A whole number does not have a decimal part so it cannot be a whole number
Integers are whole numbers that are positive and negative plus zero
-.23 can be written as the ratio of integers
-23/ 100 so it is a rational number
Answer:
Rational
Step-by-step explanation:
A whole number does not have a decimal part so it cannot be a whole number
Integers are whole numbers that are positive and negative plus zero
-.23 can be written as the ratio of integers
-23/ 100 so it is a rational number
At a baseball game, hot dogs cost $2.25 and drinks cost $1.75. The total cost, t, for h hot dogs and d drinks can be described by the equation t=2.25h+1.75d. If Costas spent $18.25 and bought 5 hot dogs, how many drinks did he buy?
Answer:
He bought 4 drinks
Step-by-step explanation:
18.25= 2.25(5)+1.75d
18.25= 11.25+ 1.75d
18.25-11.25= 7
7= 1.75d
7/1.75
4=d
Answer:
4 drinks
Step-by-step explanation:
t = 2.25h + 1.75d
T = Total Cost
H = Hotdogs
D = Drinks
We have our total cost, which is $18.25 dollars
18.25 = 2.25h + 1.75d
We know Costas bought 5 hotdogs, so replace h with 5 and multiply :
2.25(5)
==> 11.25
Now that 11.25 dollars has been made, let's see how much money we need left to fit for the drinks.
18.25 - 11.25
==> 7
We need 7 dollars worth of drinks, so divide the cost by the amount we need to have.
7 / 1.75
==> 4
Castos needs to buy 4 drinks.
I need a bit help i don’t really get it
Answer:
Value of [tex]x[/tex] is $15$ degrees and measure of a vertical angle is $105$°
Step-by-step explanation:
These are vertically opposite angles which are congruent and hence equal.
Thus,
[tex]x+90=7x\\
\implies 90=6x\\
\implies x=\frac{90}{6}=\frac{30}{2}=15^o[/tex]
Find the measure of a vertical angle by putting the value of $x$ as $15$
Solve the system by graphing
- 3x-y=2
solution (-2,0)
solution (0-2)
solution (2,0)
solution (02)
Answer:
(0,-2)
Step-by-step explanation:
Plug in each value for the equation
-3(0) - (-2) = 2
0 - (-2) = 2
2=2
log 5 +3 log 2-log4÷log10
●✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎❀✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎●
Hi my lil bunny!
❧⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯☙
Let's simplify step-by-step.
[tex]Log (5) + (3 log (2)) - \frac{log(4)}{log(10)}[/tex]
[tex]= 0.69897 + 3(log (2)) - \frac{log (4)}{log (10)}[/tex]
[tex]= 0.69897 + (3) (0.30103) - \frac{log (4)}{log(10)}[/tex]
[tex]= 0.69897 + 0.90309 - \frac{log (4)}{log(10)}[/tex]
[tex]= 1.60206 - \frac{log(4)}{log(10)}[/tex]
[tex]= 1.60206 - \frac{1.60206}{log (10)}[/tex]
[tex]= 1.60206 - \frac{1.60206}{1}[/tex]
[tex]= 1.60206 - 0.60206[/tex]
[tex]= 1[/tex]
❧⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯☙
●✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎❀✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎●
Have a great day/night!
❀*May*❀
Solve for X.........
Answer:
Hey there!
There is this equation, which states that the angle created by an inscribed angle is half the measure of the arc.
Thus, we can write: 60=5x-5
65=5x
x=13
Let me know if this helps :)
Answer:
x= 13
Step-by-step explanation:
Inscribed Angle =1/2 Intercepted Arc
30= 1/2 (5x-5)
Multiply each side by 2
60 = 5x-5
Add 5 to each side
65 = 5x
Divide by 5
13 =x
The pilot of a Boeing 747 is instructed to climb from 8000 ft to a cruising altitude of 29,000 ft. If the plane ascends at a rate of
3500 ft/min, how long will it take to reach the cruising altitude?
=======================================================
Explanation:
The plane needs to go up 29,000-8,000 = 21,000 feet
It does so at a rate of 3500 ft per min
So it needs 21000/3500 = 6 minutes to get to the proper height.
---------
You can think of it like the equation
3500x = 21000
where x is the number of minutes needed. Dividing both sides by 3500 solves to x = 6.
-----------
Or you could think of it like this
1 minute = 3500 feet
1/3500 minute = 1 foot (divide both sides by 3500)
1 foot = 1/3500 minute
21000 feet = 21000/3500 minute (multiply both sides by 21000)
21000 feet = 6 minutes
This shows that to go up 21000 feet, the plane needs 6 minutes to do so.
solve 1/2x + 7 = x - 3
Answer: x=20
Step-by-step explanation:
1/2x + 7 =x -3 add 3 to both sides
+3 +3
1/2x + 10 = x Subtract 1/2x from both sides
-1/2x -1/2x
10 = 1/2x
x = 20
Answer:
[tex]x=20[/tex]
Step-by-step explanation:
We can solve for x by simplifying the equation until we have x isolated on one side.
[tex]\frac{1}{2}x + 7 = x-3[/tex]
Subtract 7 from both sides:
[tex]\frac{1}{2}x = x-10[/tex]
Subtract x from both sides:
[tex]-\frac{1}{2}x = -10[/tex]
Multiply both sides by -2:
[tex]x = 20[/tex]
Hope this helped!
Wayne is planning a beach vacation. He budget's a total of $1,800 for the
vacation. Round-trip airfare for the trip will cost $610, while the all-inclusive
resort he plans to stay at will cost $238 per day. What is the maximum number
of days Wayne can stay at the resort and stay within his budget?
Answer:
5 days
Step-by-step explanation:
You subtract $610 from $1800. You should get 1190.
Then divide 1190 with 238.
The answer you get should be 5.
Answer:
5 days
Step-by-step explanation:
the sum of 81 and a number is greater than 4 times the same number
Answer: n=9
Step-by-step explanation:
81 = n>4*n
81 = 9(>4)*9
81 = 9*9
Strawberries cost $21.25 for 4 pounds. Find the unit rate. Round to the nearest cent if necessary.
Answer:
$5.31/lb
Step-by-step explanation:
Since 4 pounds cost $21.25, 1 pound of strawberries will cost 21.25 / 4 ≈ 5.31, therefore, the unit rate is $5.31/lb.
Answer:
$5.31 per pound.
Step-by-step explanation:
$21.25 for so
%21.25/4= $5.31
The answer is $5.31 per pound.
flying against the wind, a jet travels 4600 miles in 5 hours. flying with the wind, the same jet travels 4200 miles in 3 hours. what is the rate of the jet in still air and what is the rate of the wind?
Answer:
The rate of the jet in still wind is 1160 MPH and the rate of the wind is 240 MPH.
Step-by-step explanation:
Distance equals rate times time (d = rt)
Against the wind, the rate is:
4600 = r * 5
r = 4600/5 = 920 MPH
With the wind, the rate is:
4200 = r * 3
r = 4200/3 = 1400 MPH
Let W be the rate of the wind in MPH. We know that:
(rate of the jet against the wind) + (rate of the wind) = (rate of the jet with the wind ) - (rate of the wind), so:
920 + W = 1400 - W
2W = 480
W = 240 MPH
And the speed of the jet in still air would be:
1400 - 240 = 1160 MPH
PLEASE HELP ME Mathmath
Answer:
871 and 1/2 feet is correct
Step-by-step explanation:
An electronic product takes an average of 4 hours to move through an assembly line. If the standard deviation is 0.5 hours, what is the probability that an item will take between 2.8 and 4.3 hours to move through the assembly line
Answer:
0.7176
Step-by-step explanation:
We solve this question, using z score formula.
Z score formula = (x - μ)/σ
where x is the raw score
μ is the population mean
σ is the population standard deviation.
For z1, where x1 = 2.8, μ = 4, σ = 0.5
z score formula = (2.8 - 4)/0.5
= -2.4
We find the probability of the z score using the z score table.
P(x = 2.8) = P(z = -2.4)
= 0.0081975
For z2, where x2 = 4.3, μ = 4, σ = 0.5
z score formula = (4.3 - 4)/0.5
= 0.3/0.5
= 0.6
We find the probability of the z score using the z score table.
P(x = 4.3) = P(z = 0.6)
= 0.72575
The probability that an item will take between 2.8 and 4.3 hours to move through the assembly line is calculated as:
= 2.8 < x < 4.3
= P(z = 0.6) - P(z = -2.4)
= 0.72575 - 0.0081975
= 0.7175525
Approximately ≈ 0.7176
Therefore, the probability that an item will take between 2.8 and 4.3 hours to move through the assembly line is 0.7176
The value 191.5638 rounded to the nearest hundredth is
191.564
191.5600
191.56
200
Answer:
191.56
Step-by-step explanation:
Given
191.5638
Required
Approximate
Approximating to the nearest hundredth implies that, only to digits after the decimal point is needed
This is:
191._ _
The third digit after the decimal point will approximated using the approximation rule;
Since, the third digit after the decimal point (3) is not up to 5, it'll be approximated to 0 and added to the second digit (6)
So, we have:
191.5 _
The next digit is calculated as 6 + 0 = 6
Hence, the full approximated number is 191.56
to find the distance between (17,3) and (17,-5), marcia used the following equation. is marcia correct
Answer:
Distance = 8
[tex]Formula =\\\sqrt{(x_2-x_1)^2+(y_2-y_2)^2}[/tex]
Step-by-step explanation:
[tex](17,3)=(x_1 , y_1 )\\ (17,-5)=(x_2,y_2)\\\\d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2} \\\\d = \sqrt{(17-17)^2+(-5-3)^2}\\\\ d = \sqrt{(0 )^2+(-8)^2}\\\\d = \sqrt{0 +64}\\\\ d = \sqrt{64} \\\\d = 8[/tex]
Ernie walked 1 1/4 miles from his cabin to a park, then 1 1/2 miles around the park, and then back to his cabin. How many miles did he walk
Answer:
4 miles
Step-by-step explanation:
1 1/4 there + 1 1/2 around + 1 1/4 back= 4 miles