Answer:
29.37% probability that exactly five of the first nine sold have cracked screens
Step-by-step explanation:
A probability is the number of desired outcomes divided by the number of total outcomes.
The order in which the smartphones are chosen is not important. So we use the combinations formula to solve this question.
Combinations formula:
[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]
Desired outcomes:
5 with cracked screens, from a set of 7.
9-5 = 4 with good screens, from a set of 15-7 = 8.
So
[tex]D = C_{7,5}*C_{8,4} = \frac{7!}{5!(7-5)!}*\frac{8!}{4!(8-4)!} = 1470[/tex]
Total outcomes:
Nine phones, from a set of 15. So
[tex]T = C_{15,9} = \frac{15!}{9!(15-9)!} = 5005[/tex]
Probability:
[tex]p = \frac{D}{T} = \frac{1470}{5005} = 0.2937[/tex]
29.37% probability that exactly five of the first nine sold have cracked screens
In ΔRST, s = 93 inches, ∠S=123° and ∠T=28°. Find the length of r, to the nearest 10th of an inch.
We have been given that in ΔRST, s = 93 inches, ∠S=123° and ∠T=28°. We are asked to find the length of r to the nearest 10th of an inch.
We will use law of sines to solve for side r.
[tex]\frac{a}{\text{Sin}(a)}=\frac{b}{\text{Sin}(B)}=\frac{c}{\text{Sin}(C)}[/tex], where a, b and c are corresponding sides to angles A, B and C respectively.
Let us find measure of angle S using angle sum property of triangles.
[tex]\angle R+\angle S+\angle T=180^{\circ}[/tex]
[tex]\angle R+123^{\circ}+28^{\circ}=180^{\circ}[/tex]
[tex]\angle R+151^{\circ}=180^{\circ}[/tex]
[tex]\angle R+151^{\circ}-151^{\circ}=180^{\circ}-151^{\circ}[/tex]
[tex]\angle R=29^{\circ}[/tex]
[tex]\frac{r}{\text{sin}(R)}=\frac{s}{\text{sin}(S)}[/tex]
[tex]\frac{r}{\text{sin}(29^{\circ})}=\frac{93}{\text{sin}(123^{\circ})}[/tex]
[tex]\frac{r}{\text{sin}(29^{\circ})}\cdot \text{sin}(29^{\circ})=\frac{93}{\text{sin}(123^{\circ})}\cdot \text{sin}(29^{\circ})[/tex]
[tex]r=\frac{93}{0.838670567945}\cdot (0.484809620246)[/tex]
[tex]r=110.889786233799179\cdot (0.484809620246)[/tex]
[tex]r=53.7604351[/tex]
Upon rounding to nearest tenth, we will get:
[tex]r\approx 53.8[/tex]
Therefore, the length of r is approximately 53.8 inches.
BALLOON The angle of depression from a hot air balloon in the air to a person on the ground is 41°. If the person steps back 12 feet, the new angle of depression is 25°. If the person is 6 feet tall, how far off the ground is the hot air balloon?
Answer:
16.06 ft
Step-by-step explanation:
The figure is attached below.
In triangle ACB:
[tex]tan(41)=\frac{x}{y} \\x=ytan(41)[/tex]
In triangle ADB:
[tex]tan(25)=\frac{x}{y+10} \\(y+10)tan(41)=x[/tex]
Therefore equating both equations gives:
[tex]ytan(41) = (y+10)tan(25)\\ytan(41) = ytan(25)+10tan(25)\\ytan(41)-ytan(25)=10tan(25)\\y(tan(41)-tan(25))=10tan(25)\\y=\frac{10tan(25)}{(tan(41)-tan(25)} =11.5715ft[/tex]
Therefore x = 11.5715*tan(41) = 10.06 ft
The distance of the jot air balloon to ground = 10.06 + 6 = 16.06 ft
Simplify the expression (x^2z^3)(5yz)^2
Answer:
(5yz)^2(x^2z^3)
(25y^2z^2)(x^2z^3)
25x^2y^2z^5
Step-by-step explanation:
A submarine is 150 below sea level while an airplane is 375 above sea level. What is the difference between the height of the submarine and the airplane?
Answer:
[tex] D= 375 - (-150) m = 375m +150 m= 525 m[/tex]
So then the distance between the submarine and the airplace is 525 m
Step-by-step explanation:
For this case we know that the submarine is 150 m below the sea level and the airplane is 375 m above the sea level and we want to find the difference between the heights and we got:
[tex] D= 375 - (-150) m = 375m +150 m= 525 m[/tex]
So then the distance between the submarine and the airplace is 525 m
What is the length c of the right triangle, rounded to the nearest
tenth?
Answer:
6.1
Step-by-step explanation:
we will name the length in front of the angle , y :
tan(71°)≅2.904= y ÷2
⇒ y= 5.8
and we know that
c = [tex]\sqrt{2^{2} + y^{2} }[/tex]
then
c = 6.14
and if we round it to the nearest tenth :
c = 6.1
Please help If you can! I'm doing Math! and I need some help!
Solve for x.
12(x−360)=120
Get back when you can!
Answer:
x ≈ 370
Step-by-step explanation:
Caitie currently earns $15.00 an hour at her job. Thanks to her hard work, her boss is going to give her a 10% raise. Caitie thinks that this means she will earn about $25.00 an hour. Is Caitie's estimate reasonable?
Answer:
No, she will earn 16.50/hr after the raise
Step-by-step explanation:
Catie's raise will be 15*0.10, which is $1.50
Caitie currently earns $15.00 an hour at her job, her boss is going to give her a 10% raise. she will earn 16.50/hr.
What is the percentage?A percentage is a minimum number or ratio that is measured by a fraction of 100.
Caitie currently earns $15.00 an hour at her job. Thanks to her hard work, her boss is going to give her a 10% raise. Caitie thinks that this means she will earn about $25.00 an hour.
10% of 15
= 15 × 0.10
= $1.50
The total amount will be = 15 + 1.50
= 16.50
Learn more about percentages;
https://brainly.com/question/13450942
Unit 5. 1) Please help. What is the volume of the cone?
Answer:
I think the correct answer is 27 so option c. :)
Ms.Sheppard cuts 1/2 of a piece of paper. She uses 1/6 of the piece to make a flower. What fraction of the sheet of paper does she use to make the flower?
Answer:
She uses [tex]\frac{1}{12}[/tex] of the sheet of paper to make the flower.
Step-by-step explanation:
She cuts 1/2 of a piece of paper.
Of what was cut, she used 1/6 to make a piece.
What fraction of the sheet of paper does she use to make the flower?
A sixth of one half. So
[tex]\frac{1}{6}*\frac{1}{2} = \frac{1}{12}[/tex]
She uses [tex]\frac{1}{12}[/tex] of the sheet of paper to make the flower.
hey can anyone help me in dis pls!!!!!!!!
Answer:
1. the blue one 2. because the blue one have more length.
good luck.
Answer:
1. Blue
2. blue, because i measured both lines with a ruler
3. This one is harder to decide because the blue line was barely longer than the red line
Step-by-step explanation:
I measured the lines with a ruler for this one too.
There are eight black socks six blue socks and 14 White Socks in a drawer if one sock is randomly chosen from the drawer than what is the probability that the sock Will not be blue?
Answer:
22/28 = 11/14
Step-by-step explanation:
no of socks other than blue = 22
total no of socks = 28
so probability= 22/28 = 11/14
Answer:
22
Step-by-step explanation:
8 black 6 blue and 14 white is equal to 28
and if 6 are blue the rest are not so 6-28=22
Mark recently took a road trip across the country. The number of miles he drove each day was normally distributed with a mean of 450. If he drove 431.8 miles on the last day with a z-score of -0.7, what is the standard deviation?
Answer:
The (population) standard deviation is 26 miles or [tex] \\ \sigma = 26[/tex] miles.
Step-by-step explanation:
We can solve this question using the concept of z-score or standardized value, which is given by the formula:
[tex] \\ z = \frac{x - \mu}{\sigma}[/tex] [1]
Where
[tex] \\ z[/tex] is the z-score.
[tex] \\ x[/tex] is the raw score.
[tex] \\ \mu[/tex] is the population's mean.
[tex] \\ \sigma[/tex] is the population standard deviation.
Analyzing the question, we have the following data to solve this question:
The random variable number of miles driven by day is normally distributed.The population's mean is [tex] \\ \mu = 450[/tex] miles.The raw score, that is, the value we want to standardize, is [tex] \\ x = 431.8[/tex] miles.The z-score is [tex] \\ z = -0.7[/tex]. It tells us that the raw value (or raw score) is below the population mean because it is negative. It also tells us that this value is 0.7 standard deviations units (below) from [tex] \\ \mu[/tex].Therefore, using all this information, we can determine the (population) standard deviation using formula [1].
Then, substituting each value in this formula:
[tex] \\ z = \frac{x - \mu}{\sigma}[/tex]
Solving it for [tex] \\ \sigma[/tex]
Multiplying each side of the formula by [tex] \\ \sigma[/tex]
[tex] \\ \sigma*z = (x - \mu) * \frac{\sigma}{\sigma}[/tex]
[tex] \\ \sigma*z = (x - \mu) * 1[/tex]
[tex] \\ \sigma*z = x - \mu[/tex]
Multiplying each side of the formula by [tex] \\ \frac{1}{z}[/tex]
[tex] \\ \frac{1}{z}*\sigma*z = \frac{1}{z}*(x - \mu)[/tex]
[tex] \\ \frac{z}{z}*\sigma = \frac{x - \mu}{z}[/tex]
[tex] \\ 1*\sigma = \frac{x - \mu}{z}[/tex]
[tex] \\ \sigma = \frac{x - \mu}{z}[/tex]
Then, this formula, solved for [tex] \\ \sigma[/tex], will permit us to find the value for the population standard deviation asked in the question.
[tex] \\ \sigma = \frac{431.8 - 450}{-0.7}[/tex]
[tex] \\ \sigma = \frac{-18.2}{-0.7}[/tex]
[tex] \\ \sigma = 26[/tex]
Thus, the (population) standard deviation is 26 miles or [tex] \\ \sigma = 26[/tex] miles.
(9+m)(-m+9) in standard form
How to use Cosine to calculate the side of a right triangle?
Answer:
Cosine is Adj/Hyp
a simple trick i use when doing these kind of problems is first finding the sides. If you only know the Hypotenuse then you multiply that with the cos(x) or whatever angle it is. If you only know Adjacent then you divide the adjacent with the Cos(x) and you get the answer
Step-by-step explanation:
sallys cup cake shop sold a total of 63 cupcakes yesterday and 32 of those had sprinkles how many cupcakes were sold without sprinkles
Answer:
31
Step-by-step explanation:
63-32=31
i don't understand this pls help
Answer:
1
Step-by-step explanation:
Solve. Remember to follow PEMDAS.
PEMDAS is the order of operation, and =
Parenthesis
Exponent (& Roots)
Multiplication
Division
Addition
Subtraction
First, divide 54 with -6:
54/(-6) = -9
Next, combine the terms.
10 + (-9) = 10 - 9 = 1
1 is your answer.
~
Tamara received a gift card with a $200 balance for her birthday she buy several video games for $45 each write an equation to help find how many video games she brought if she has $20 left on her card
here is a list of numbers: 12, 13, 19, 16 ,32, 15, 13.
a)work out the range of the numbers in the list.
b)work out the mean of the numbers in the list
Look at the attached picture
Hope it will be helpful to you ...
The range of the number given is given as (12, 32) while the mean of the given number is 17.14.
Given that,
The list of the number is given as 12, 13, 19, 16,32, 15, and 13.
The range of the number and mean of the given numbers is to be determined.
Range, it is the set of values that come out to an outcome for a certain mathematical operation.
What is mean?The mean of the values is the ratio of the total sum of values to the number of values.
Here,
Rearrange the number in ascending order,
12, 13, 13, 15, 16, 19, 32
The range of the list is given as,
Range = [12, 32]
Mean of the numbers = [12 + 13 + 13 + 15 + 16 + 19 + 32] / 7
Mean = 17.14
Thus, the range of the number given is given as (12, 32) while the mean of the given number is 17.14.
Learn more about mean here:
https://brainly.com/question/15397049
#SPJ3
what are the first 100 hundred digits of pi?
Answer: first 1000 digest
3.1415926535 8979323846 2643383279 5028841971 6939937510 5820974944 5923078164 0628620899 8628034825 3421170679 8214808651 3282306647 0938446095 5058223172 5359408128 4811174502 8410270193 8521105559 6446229489 5493038196 4428810975 6659334461 2847564823 3786783165 2712019091 4564856692 3460348610 4543266482 1339360726 0249141273 7245870066 0631558817 4881520920 9628292540 9171536436 7892590360 0113305305 4882046652 1384146951 9415116094 3305727036 5759591953 0921861173 8193261179 3105118548 0744623799 6274956735 1885752724 8912279381 8301194912 9833673362 4406566430 8602139494 6395224737 1907021798 6094370277 0539217176 2931767523 8467481846 7669405132 0005681271 4526356082 7785771342 7577896091 7363717872 1468440901 2249534301 4654958537 1050792279 6892589235 4201995611 2129021960 8640344181 5981362977 4771309960 5187072113 4999999837 2978049951 0597317328 1609631859 5024459455 3469083026 4252230825 3344685035 2619311881 7101000313 7838752886 5875332083 8142061717 7669147303 5982534904 2875546873 1159562863 8823537875 9375195778 1857780532 1712268066 1300192787 6611195909 2164201989
Step-by-step explanation:
Answer:
you aren't ready for this!!!!
Step-by-step explanation:
And now
AsapSCIENCE presents-
100 digits of π
3.14159, this is π
Followed by 2-6-5-3-5-8-9
Circumference over diameter
7-9, then 3-2-3
OMG! Can't you see?
8-4-6-2-6-4-3
And now we're on a spree
38 and 32, now we're blue
Oh, who knew?
7, 950 and then a two
88 and 41, so much fun
Now a run
9-7-1-6-9-3-9-9
Then 3-7, 51
Half way done!
0-5-8, now don't be late
2-0-9, where's the wine?
7-4, it's on the floor
Then 9-4-4-5-9
2-3-0, we gotta go
7-8, we can't wait
1-6-4-0-6-2-8
We're almost near the end, keep going
62, we're getting through
0-8-9-9, on time
8-6-2-8-0-3-4
There's only a few more!
8-2, then 5-3
42, 11, 7-0 and 67
We're done! Was that fun?
Learning random digits
So that you can brag to your friends
The coordinates of point A on a grid are (−4, 3). Point A is reflected across the y-axis to obtain point B. The coordinates of point B are (___, 3).
i need help thanks in advance
Answer:
36
Step-by-step explanation:
The thickness of a protective coating applied to a conductor designed to work in corrosive conditions follows a uniform distribution over the interval [20;40] microns. Find the probability that the coating is between 24 and 38.
Answer:
[tex] P(24< X<38)= P(X<38) -P(X<24)= F(38) -F(24)[/tex]
And replacing we got:
[tex] P(24< X<38)=\frac{38-20}{40-20}-\frac{24-20}{40-20}= 0.9-0.2= 0.7[/tex]
Step-by-step explanation:
We can define the random variable X as the thickness of a protective coating applied to a conductor designed to work in corrosive conditions. And the distribution for X is given by:
[tex] X \sim Unif (a = 20, b=40)[/tex]
And we want to find this probability:
[tex] P(24< X<38) [/tex]
And in order to find this probability we can use the cumulative distribution function given by:
[tex] F(x) = \frac{x-a}{b-a} , a\leq X \leq b[/tex]
And if we use this formula for the probability desired we have:
[tex] P(24< X<38)= P(X<38) -P(X<24)= F(38) -F(24)[/tex]
And replacing we got:
[tex] P(24< X<38)=\frac{38-20}{40-20}-\frac{24-20}{40-20}= 0.9-0.2= 0.7[/tex]
I need help pls answer as fast as posible
Answer:
1/8
Step-by-step explanation:
Answer:
1/7
Step-by-step explanation:
divide 6/42
find -2- (-0.7) PLEASE HELPPPP
Answer:
-1.3
Step-by-step explanation:
Answer:
-2-(-0.7)
= -2-(-0.7)
= -2 + 0.7
= -1.3
Step-by-step explanation:
minus into minus is plus
-2 is greater so we are going to put "-" sign
and get the aswer by adding
to pu this in number line just estimate the closest whole number on line and and also check the mines integers left is minus and right is plus side thanks
pleas mark me as brainliest i told every thing in detail
The elevation at the summit of Mount Whitney is 4,418 meters above sea level. Climbers begin at a trail head that has an elevation of 2,550 meters above sea level. What is the change in elevation, to the nearest foot, between the trail head and the summit?
(1 foot =0.3048 meters) *
A. 1868 ft
B. 569 ft
C. 6,128 ft
D. 6,129 ft
Answer:
D
Step-by-step explanation:
Firstly, to answer this question, we need to calculate the change in elevation.
Let’s just think of the question as, the distance from the foot of the mountain to the top is 4,418 meters. Now we have climbers starting at a height of 2,550 meters. We now need to know the difference or the distance to which they have climbed.
To calculate this is quite straightforward, all we need do is to subtract the starting point from the end position.
Mathematically that would be 4,418 - 2,550 = 1,868 meters
Now our answer need be in foot. we have a conversion system given in the question already.
1 foot = 0.3048 meters
x foot = 1,868 meters
x = 1,868/0.3048
x = 6,128.6 feet which is approximately 6,129 feet
The median is the same thing as?
Quartile 1
Quartile 2
Quartile 3
None of the above
Other:
Answer:
The median is NOT the same thing as a quartile.
The median is a measure of center.
Gabby received 6 job offers from 15 interview he did last month.Which ratio best describes the relationship between the number of jobs he was not offered and the number of jobs for which he was interviewed
Answer:
the answer is 3:5
Step-by-step explanation:
Total number of jobs for the interview = 15
number of job offers received by Gabby = 6
number of jobs not offered = 15 - 6 = 9
therefore, the relationship will be 9:15
3:5
Please help, it’s a math question
Answer:
the answer is B
Step-by-step explanation:
hope it help
Ursula surveyed 50 classmates about their favorite ice cream flavors. Each classmate chose one flavor. The results are shown in the circle graph.
Favorite Ice Cream Flavors
How many more of Ursula’s classmates chose chocolate than chose vanilla?
Answer:
8
Step-by-step explanation:
Vanillas percentage is 26%
26% of 50 is 13
Chocolates percentage is 42%
42% of 50 is 21
21-13=8
Using proportions, it is found that 8 more of Ursula’s classmates chose chocolate than chose vanilla.
In total, there are 50 students.
42% choose chocolate, hence:[tex]0.42(50) = 21[/tex]
That is, 21 choose chocolate.
The sum is 100%, hence the percentage that choose vanilla is:
[tex]x + 14 + 18 + 42 = 100[/tex]
[tex]x = 100 - 74[/tex]
[tex]x = 26[/tex]
26%, out of 50, hence:
[tex]0.26(50) = 13[/tex]
13 choose vanilla.
21 - 13 = 8.
8 more of Ursula’s classmates chose chocolate than chose vanilla.
To learn more about proportions, you can check https://brainly.com/question/24372153
Find the surface area of the prism.
Answer:
920 ft^2
Step-by-step explanation:
area of triangles: base x height / 2 (2)
8 x 15 / 2
= 60 x 2
= 120
area of rectangular base: length x width
15 x 20 = 300
area of sloped rectangle: length x width
17 x 20 = 340
area of rectangle: length x width
8 x 20 = 160
Total: 120 + 300 + 340 + 160
=920 ft^2
Answer:
920 ft²
Step-by-step explanation:
2 triangles + 3 rectangles
2(½×15×8) + 20(17+8+15)
120 + 800
920
