The talk-time battery life of a group of cell phone is normally distributed with a mean of 5 hours and a standard deviation of 15 minutes. A) What percent of the phones have a battery life of at least 4 hours and 45 minutes?
The correct answer is 84%
The phone battery lasts at least 4 hours and 45 minutes is 84%.
What is normal distribution of data?A normal distribution is a probability distribution that is perfectly symmetrical around its mean (center), showing that data near the mean are more frequent in occurrence than data far from the mean. In graph form, normal distribution will appear as a bell curve.
For the given situation,
The normally distribution has a mean of 5 hours and a standard deviation of 15 minutes.
50% of the normal distribution lies to the right of the mean. So, the battery will last longer than 5 hours.
The interval from 4 hours and 45 minutes and 5 hours represents one standard deviation to the left of the mean.
So, about 34% of time, the battery will last between 4 hours and 45 minutes and 5 hours.
Thus, the probability that the battery lasts at least 4 hours and 45 minutes,
⇒ [tex]50+34[/tex]
⇒ [tex]84[/tex]
Hence we can conclude that the phone battery lasts at least 4 hours and 45 minutes is 84%.
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(2x-4)^2 please solve with steps
Answer
what is the equation equal to
Step-by-step explanation:
If thats the only thing they give it is (2x-4)(2x-4)
Answer:
4x - 16
Step-by-step explanation:
2x x 2x = 4x (2x^2)
4 x 4 = 16 (4^2)
You had to distribute that ^2.
Keep the SUBTRACTION sign.
therefore your answer is:
4x - 16
lol please help me i really don’t get this
Answer:
If y is inversely proportional to x then y is 3
Can someone pleaseeee help and if you’re correct i’ll give brainliest
Answer:
Hexagon
Step-by-step explanation:
It has more than 3 sides because it is more sides than a triangle and less than 5 since it has to be fewer sides than a pentagon. A hexagon has 6 sides meaning it has more sides than the pentagon.
Answer:
It should be hexagon
Step-by-step explanation:
Hex equals 6 and quad equals 4, so it would not be quadrilateral or square or recanatgle. So hexagon is your answer.
ANSWERS FOR THESE PLEASE DOESNT HAVE TO BE ALL OF THEM
Step-by-step explanation:
y-intercept: first one is -6
slope:
(-6,0) (0,-3)
-3-0/ 0- -6 = -3/6 = -1/2
3. TBD
4. slope is 3/6 = 1/2
y - 3 = 1/2(x-2)
y = 1/2x +2
5. -4/2 = 2 slope
y-2 = 2(x-3)
y = 2x -4
The distance between two cities is 4000 kilometers. One kilometer is 6 10 millimeters. What is the distance between the two cities in millimeters?
Answer: 4,000,000,000 mm
Step-by-step explanation:
One kilometer is 10^6 or 1000000 millimeters
So 4000x1000000
4x1 is 4
Annex the zeros. There are 9 zeros.
= 4,000,000,000 millimeters
The distance between the two cities in millimetres of 4,000,000,000 mm
What is a distance?
Distance is defined as the length between the two points just like in the question it is the length between the two cities.
We know that:-
One kilometer is 10^6 or 1000000 millimeters
So 4000x1000000
4x1 is 4
Annex the zeros. There are 9 zeros.
= 4,000,000,000 millimeters
Therefore the distance between the two cities in millimetres of 4,000,000,000 mm
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0. The mean of the numbers 4, 3, 3, x is 5
Find x.
A. 20
B. 10
C. 5.
D. 4
Answer:
x = 10.
Step-by-step explanation:
From the definition of the mean:
(4 + 3 + 3 + x) / 4 = 5
4 + 3 + 3 + x = 20
x + 10 = 20
x = 10.
Bubble algae cells can grow up to 5 cm in diameter. Calculate the surface area : volume ratio of this cell.
Answer:
6:5
Step-by-step explanation:
Bubble algae cells can grow up to 5 cm in diameter. Calculate the surface area : volume ratio of this cell.
The algae is spherical in nature
Volume of the algae =4/3 pi r³
Volume of the algae = 4/3×pi×2.5³
Volume of the algae = 62.5/3 pi
Surface area = 4pi r²
Surface area = 4pi ×2.5²
Surface area = 25pi
Taking their ratio
surface area : volume ratio
= 25pi:62.5/3 pi
= 25 × 3/62.5
= 1.2
Hence the required ratio is 12/10 which is 6:5
Given the following data set 2,3,1,6,1,1,1,0,2,4,5,1,2,2,3
Mean
Median
Range
Mid range
Answer:
mean: 34/15=2.27
median: 2
range: highest-lowest...... 6-0=6
mid range: high + low divided by 2
6+0=6/2=3
Answer:
Mean: 2.27
Median: 2
Range: 6
Mid-range: 3
Step-by-step explanation:
The mean is adding the average of the data set; add up all numbers, then divide by how many numbers there are.
2 +3 + 1 + 6 + 1 + 1 + 1 + 0 + 2 + 4 + 5 + 1 + 2 + 2 + 3 = 34
There are 15 numbers in this data set.
34 ÷ 15 = 2.26666666667 ≈ 2.27 (nearest hundredth)
2.27 is the mean.
-------------------------------------------------------------------------------------------------------------The median is the middle number after putting the data set in numerical order.
0, 1, 1, 1, 1, 1, 2, 2, 2, 2, 3, 3, 4, 5, 6
The median is 2.
--------------------------------------------------------------------------------------------------------------
0, 1, 1, 1, 1, 1, 2, 2, 2, 2, 3, 3, 4, 5, 6
The range is the smallest number subtracted from the largest number.
6 - 0 = 6
6 is the range.
--------------------------------------------------------------------------------------------------------------
0, 1, 1, 1, 1, 1, 2, 2, 2, 2, 3, 3, 4, 5, 6
The formula for mid-range is:
Maximum value + largest value ÷ 2.
The largest value is 6.
The minimum value is 0.
6 + 0 = 6
6 ÷ 2 = 3.
The mid-range is 3.
A 7.0 kg textbook is placed in a shelf 1.5 m high. What is the potential energy relative to the floor?
Answer:
PE = 102.9 Joules
Step-by-step explanation:
PE = mgh
= (7.0 kg)(9.8 m/s^2)(1.5 m)
= 102.9 Joules
Peter says If you subtract 14 from my number and multiply the difference by -2, the result is -44 What is Peters number?
Answer:
36
Step-by-step explanation:
According to the scenario, computation of the given data are as follows,
Let the number be x, then
First subtract 14 from number x, then
x - 14
Now multiply difference by -2, results -44
(x - 14) × -2 = -44
By solving equation,
-2X + 28 = - 44
- 2X = -44 - 28
X = -72 ÷ -2
x = 36
So, Peter's number is 36.
If the volume of the pyramid shown is 108in, what is the area of its base? 9 in= height
a. 4 in
b. 12 in
c. 24in
d. 36 in
Answer: D, 36in.
Step-by-step explanation:
mel randomly selects a coin 150 times of which she selects a dime 30 times
Answer:
Random numbers for experimental probability. This means that if we roll a die 60 times we can expect each of the six faces to come up.
hope this helps
have a good day :)
Step-by-step explanation:
The table below shows the cost of different numbers of goldfish at a pet store.
COST OF GOLDFISH
Number of Goldfish Cost
5 $1.50
10 $3.00
15 $4.50
20 $6.00
The cost is a linear function of the number of goldfish. Which statement describes the rate of change of this function?
A. The cost increases $0.30\$ 0.30$0.30 each time 111 goldfish is added.
B. The cost increases $1.50\$ 1.50$1.50 each time 111 goldfish is added.
C. The cost increases $3.00\$ 3.00$3.00 each time 555 goldfish are added.
D. The cost increases $6.00\$ 6.00$6.00 each time 555 goldfish are added.
Answer:
A (I think because i cant tell what the answers are saying)
Step-by-step explanation:
1.5/5= 0.3
3/10=0.3
4.5/15=0.3
6/20=0.3
Next time take a screenshot because i can not really see what the answers are supposed to be. But A is the only one that should be correct
A 10-foot ladder leans against a wall so that it is 6 feet high at the top. The ladder is moved so that the base of the ladder travels toward the wall twice the distance that the top of the ladder moves up. How much higher is the top of the ladder now? (Hint: Let 8−2x be the distance from the base of the ladder to the wall.)
Answer:
Step-by-step explanation:
The Pythagorean Theorem holds for both positions.
The first configuration is an 6-8-10 right triangle.
The second configuration using the Pythagorean Theorem:
10^2 = (8-2x)^2 + (6 + x)^2
100 = 64 - 32x + 4x^2 + 36 + 12x + x^2
100 = 100 - 20x + 5x^2
5x^2 - 20x = 0
5x(x - 4) = 0
x = 4 feet (we throw out the x = 0 solution as extraneous)
Answer:
Step-by-step explanation:
The Pythagorean Theorem holds for both positions.
The first configuration is an 6-8-10 right triangle.
The second configuration using the Pythagorean Theorem:
10^2 = (8-2x)^2 + (6 + x)^2
100 = 64 - 32x + 4x^2 + 36 + 12x + x^2
100 = 100 - 20x + 5x^2
5x^2 - 20x = 0
5x(x - 4) = 0
x = 4 feet (we throw out the x = 0 solution as extraneous)
can someones please help me i dont get this
Answer:
176.25in^2
Step-by-step explanation:
You can tell that the two triangles on the left, and the two triangles on the right make a rectangle if you flip one of them. Because of this, you can multiply the base and height to get the area of both.
7.5*16=120 (left side)
7.5*7.5=56.25 (right side)
Now we add them to get the full area:
120+56.25=176.25in^2
A jar contains 30 red marbles, 50 blue marbles, and 20 white marbles. You pick one at random. Find
the given probabilities:
Type a full reduced fraction. Ex. 1/4
P(red)=
P(blue)=
P(not white)=
Answer:
P(blue)=1/2 50 marbles are blue
Which side lengths could form a triangle? Check all that apply.
A) 20,6,15
B) 8,8,17
C) 2,11,12
D) 19,34,15
Answer:
A, C, D
Step-by-step explanation:
One rule of thumb is just add up two sides and if its greater than the third value that side works. (make sure to test it for all of the sides though)
ANSWER AND GET 30 POINTS!!! ASAP!!!
Which of the following are trigonometric identities? Select all that apply. (3)
What is a simplified form of the expression sec^2 x-1/sinx secx?
Answer:
1. A, E
2. C
Step-by-step explanation:
1. tan theta = 1/cot theta
sec theta = 1/ cos theta
2. Sec^2x-1 = tan^2x
sinx sec x = tanx
= tan^2x/tanx = tan x
The identities are (a) tan(θ) = 1/cot(θ), (c) 1 - sin^2(θ) = cos^2(θ) and (e) sec(θ) = 1/cos(θ) and the simplified form of [tex]\frac{\sec^2(x) - 1}{\sin(x)\sec(x)}[/tex] is tan(x)
Part A: The trigonometry identitiesAs a general rule, we have:
tan(θ) = 1/cot(θ)
sec(θ) = 1/cos(θ)
cosec(θ) = 1/sin(θ)
sin^2(θ) + cos^2(θ) = 1
The above means that:
(a) tan(θ) = 1/cot(θ), (c) 1 - sin^2(θ) = cos^2(θ) and (e) sec(θ) = 1/cos(θ) are identities
Part B: The trigonometric proofWe have:
[tex]\frac{\sec^2(x) - 1}{\sin(x)\sec(x)}[/tex]
Express the numerator as tan^2(x)
[tex]\frac{\tan^2(x)}{\sin(x)\sec(x)}[/tex]
The product sin(x)sec(x) = tan(x).
So, we have:
[tex]\frac{\tan^2(x)}{\tan(x)}[/tex]
Divide
tan(x)
Hence, the simplified form of [tex]\frac{\sec^2(x) - 1}{\sin(x)\sec(x)}[/tex] is tan(x)
Read more about trigonometry ratios at:
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...help me pls with this work i'm timed
Answer:
10 cm
Step-by-step explanation:
multiply first 4×2 which is Base. then multiply by 1 1/4 which is 10
a gping out if bisinuess sale has the entire store marked 80./. off
Answer:
huh- So lemme get this straight if a dollar tree (where I live) goes out of business I can buy it for like 20 cents??? AWESOME. I'll do that.
Step-by-step explanation:
What is the lateral area and surface area? If you amswer correctly i will mark it as brainliest
Answer:
Lateral area:
L = πdh = 3.14*12*10 = 376.8 in²Total surface area:
S = L + 2*πd²/4S = 376.8 + 3.14*12²/2 = 602.9 in² (rounded)On two investments totaling $6,500, Lydia lost 7% on one and earned 8% on the other. If her net annual receipts were $364, how much was each investment?
Answer:
$3,442.40
$3,057.60
Step-by-step explanation:
The computation of the each investment is as follows:
let us assume the one investment be x
And, the other investment be y
So
According to the question
x + y = $6,500
And,
-7x + 8y = $364
Now multiply by 7 in equation 1
7x + 7y = $45,500
-7x + 8y = $364
15y = $45,864
y = $3,057.60
x = $6,500 - $3,0657.60
= $3,442.40
image down below plz help
Answer:
A
Step-by-step explanation:
I feel strongly that it is A.
Kelly's team won 85% of the games they played in a season. The team lost 12 games. How many games did Kelly's team win in the season?
Answer:
68 games
Step-by-step explanation:
According to the scenario, computation of the given data are as follows,
Games won = 85%
Game lost = 12
Here, 100% - 85% = 12
15% = 12
or 1% = 0.8
So, total games played (100%) = 80 games
Now, number of games won = Total games - Games lost
= 80 - 12
= 68 games
Hence, Kelly's team wins 68 games in the season.
Pls solve this I will give more points
Answer:
x=4
Step-by-step explanation:
7(2x+8)=4(28)
14x+56=112
14x=112-56
14x=56
x=4
What is the slope of the line?
Answer:
3/1
Step-by-step explanation:
is the slop of this graph
Find the measurements of side bc
44.95
19.73
39.82
40.31
Answer:
Option B
Step-by-step explanation:
By applying cosine rule in the given triangle ABC,
BC² = AC² + AB² - 2(AC)(AB)cos(∠A)
BC² = (26)² + (23)² - 2(26)(23)cos(47°)
BC² = 676 + 529 - 815.67
BC² = 389.33
BC = √(389.33)
BC = 19.73
Therefore, Option B will be the correct option.
Decide if each expression represents one third the sum of 5 and 4. choose yes or no for each expression.
Answer:
yes
no
yes
no
Step-by-step explanation:
pls mark brainliest
Someone help and plz make sure it’s right will give brainiest if it is :)
Answer:
67....................