Answer:
5√(7)m or 13.23m
Step-by-step explanation:
use pythagorean theorem
a²+b²=c²
c=20
b=15
a²+225=400
a²=175
√(175) = 5√(7) = 13.23
The height of the kite is 13.23 meters.
What is Pythagoras' theorem?In a right-angled triangle, the square of the hypotenuse side is equal to the sum of the squares of the other two sides, according to Pythagoras's Theorem.
Given:
A boy is flying a kite.
The length of the string is 20 meters and the horizontal distance between the boy and the kite is 15 meters.
Assuming there is no slack in the string,
then the height of the kite is,
= √(20)² - (15)²
= 13.23 feet.
Therefore, the height is 13.23 meters.
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Write each as a decimal. Round to the thousandths place.
9) 78.4%
10) 29%
Help
Answer:
[tex](a) 78.4\% = 0.784[/tex]
[tex](b) 29\% =0.290[/tex]
Step-by-step explanation:
Required
As a decimal to nearest thousandth
Solving (a): 78.4%
[tex]78.4\%[/tex]
Express as fraction
[tex]78.4\% = \frac{78.4}{100}[/tex]
Solve fraction
[tex]78.4\% = 0.784[/tex] ----- This is already in thousandth place
Solving (b): 29%
[tex]29\%[/tex]
Express as fraction
[tex]29\% =\frac{29}{100}[/tex]
Solve fraction
[tex]29\% =0.29[/tex]
Approximate
[tex]29\% =0.290[/tex]
A company developing a new cellular phone plan intends to market their new phone to customers who use text and social media often. In a marketing survey, they find that customers between age 18 and 34 years send an average of 48 texts per day with a standard deviation of 12. The number of texts sent per day are normally distributed.
Required:
a. A customer who sends 78 messages per day would correspond to what percentile?
b. A customer who sends 78 messages per day would be at ______th percentile.
Answer:
A customer who sends 78 messages per day would be at 99.38th percentile.
Step-by-step explanation:
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
Average of 48 texts per day with a standard deviation of 12.
This means that [tex]\mu = 48, \sigma = 12[/tex]
a. A customer who sends 78 messages per day would correspond to what percentile?
The percentile is the p-value of Z when X = 78. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{78 - 48}{12}[/tex]
[tex]Z = 2.5[/tex]
[tex]Z = 2.5[/tex] has a p-value of 0.9938.
0.9938*100% = 99.38%.
A customer who sends 78 messages per day would be at 99.38th percentile.
Hoang has worked as a nurse at Springfield General Hospital for 7 years longer than her friend Bill. Two years ago, she had been
at the hospital for twice as long. How long has each been at the hospital?
Answer:
[tex]Bill\to 9\ years[/tex]
[tex]H \to 16\ years[/tex]
Step-by-step explanation:
Let
[tex]H \to Hoang[/tex]
[tex]B \to Bill[/tex]
Currently:
[tex]H = B + 7[/tex]
Two years ago
[tex]H - 2 = 2 * (B -2)[/tex]
Required
H and B
We have:
[tex]H - 2 = 2 * (B -2)[/tex]
Open bracket
[tex]H -2 =2B - 4[/tex]
Add 2 to both sides
[tex]H -2+2 =2B - 4+2[/tex]
[tex]H =2B -2[/tex]
Substitute [tex]H = B + 7[/tex]
[tex]B + 7 =2B -2[/tex]
Collect like terms
[tex]2B - B =7+2[/tex]
[tex]B = 9[/tex]
Substitute [tex]B = 9[/tex] in [tex]H = B + 7[/tex]
[tex]H = B + 7[/tex]
[tex]H = 9 + 7[/tex]
[tex]H = 16[/tex]
Solve for n.
n + 184 = –375
Answer:
n=-559
Step-by-step explanation:
Answer:
n=-559
Step-by-step explanation:
you need to get n by itself so you subtract 184 from both side n=-375-184 then simplify it to n= -559 leaving you with the answer.
hope this helped
Does anyone know the answer
Answer:
d = 126, z = 28
Step-by-step explanation:
The angle with the variable is diagonal from the 105 degree angle. In this case, that means that they are equivalent. So, 105+21 = 126. d = 126 :)
Please help me answer this question
9514 1404 393
Answer:
B. 3.5
Step-by-step explanation:
The given range is 20 ± 7. The empirical rule tells you 95% of scores will fall within μ ± 2σ. We know μ = 20, so 2σ = 7. That is σ = 7/2 = 3.5.
The standard deviation is 3.5.
Answer for branliest
Answer:
1/3
Step-by-step explanation:
P(5) Represents the probability that the spinner will land on 5 after being spun once. Since 5 is one of three options on the wheel, the probability is 1/3
Write 3 3/4 feet as a single fraction greater than one.
The solution is 3 3/4 feet as a single fraction greater than one is: 15/ 4
What is fraction?A fraction represents a part of a whole or, more generally, any number of equal parts. When spoken in everyday English, a fraction describes how many parts of a certain size there are, for example, one-half, eight-fifths, three-quarters.
here, we have,
given that,
3 3/4 feet
now, we have to Write 3 3/4 feet as a single fraction greater than one.
so, we have,
3 3/4
i.e. 3*4 + 3 / 4
= 15/ 4
or, we have,
3 3/4
i.e.
3/4 + 3/4 + 3/4
=9/4
now, single fraction greater than one 15/ 4 > 1.
Hence, The solution is 3 3/4 feet as a single fraction greater than one is: 15/ 4.
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Select the correct answer from each drop-down menu.
Ray recorded the amount he paid for his phone bill each month for the year in this table.
$28 $27
$26 $25
$32 $26
$30 $25
$30 $28
$28 $30
The range of the data is
M. and the interquartile range is
Answer:
im pretty sure its 4
Step-by-step explanation: ur pretty to
Answer:
The interquartile range is $4
The range is NOT $4
Choosing a tuna turkey or cheese sandwich on wheat or white bread with a side of potato chips corn chips or baked potatoes
Answer:
Cheese sandwich on white bread and a side of potato chips
Step-by-step explanation:
ANSWER FAST!!!
1. x - 10.9= 16.7
2. x - 5=37
plzzzzzz help for a brianly
Answer:b
Step-by-step explanation:
(20 points) Of all the TVs of a certain model that are sold, 10% require repair to be done under the warranty during the first year service. A particular dealership sells 18 such TV per week. a) What is the probability that exactly two of them require warranty repairs
Answer:
0.2835 = 28.35% probability that exactly two of them require warranty repairs.
Step-by-step explanation:
For each TV, there are only two possible outcomes. Either they require warranty repairs, or they do not. The probability of a TV requiring warranty repairs is independent of any other TV, 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.
10% require repair to be done under the warranty during the first year service.
This means that [tex]p = 0.1[/tex]
A particular dealership sells 18 such TV per week.
This means that [tex]n = 18[/tex]
a) What is the probability that exactly two of them require warranty repairs?
This is [tex]P(X = 2)[/tex]. So
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 2) = C_{18,2}.(0.1)^{2}.(0.9)^{16} = 0.2835[/tex]
0.2835 = 28.35% probability that exactly two of them require warranty repairs.
Find the surface area of the prism.
Answer:
if you mean the face of the triangle the area equal 40 by 5×8=
and the little triangle on the left his area is 6
if you want the full area of prymaid its 24+6+6+40+32=108 its all figure areas sorry i cant understand engilish very well so i write all that
The lengths of adult males' hands are normally distributed with mean 187 mm and standard deviation is 7.1 mm. Suppose that 12 individuals are randomly chosen. Round all answers to 4 where possible. What is the distribution of ¯ x
Answer:
By the Central Limit Theorem, the distribution of ¯ x is approximately normal with mean 187 and standard deviation 2.05.
Step-by-step explanation:
Central Limit Theorem
The Central Limit Theorem establishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
The lengths of adult males' hands are normally distributed with mean 187 mm and standard deviation is 7.1 mm.
This means that [tex]\mu = 187, \sigma = 7.1[/tex]
Suppose that 12 individuals are randomly chosen.
This means that [tex]n = 12, s = \frac{7.1}{\sqrt{12}} = 2.05[/tex]
What is the distribution of ¯ x?
By the Central Limit Theorem, the distribution of ¯ x is approximately normal with mean 187 and standard deviation 2.05.
The high school is 3.6 inches from the middle school on a map. Each half inch on the map represents 0.4 mile. What is the actual distance between the two schools?
2.88 miles
4.5 miles
7.2 miles
9 miles
Answer:
2.88 miles
Step-by-step explanation:
because 3.6/.5 = 7.2
then 7.2 × .4 = 2.88
h(x) = x^2+ 2x- 6
what’s the answer
It equals this graph expression. it's a little cropped, but I'm Sure you know about the y & x axis.
9x2 + 11x + 3 = 0
Solving using the Quadratic Formula
Answer:
Step-by-step explanation:
Is 2 a solution to the equation 1/2x-4=5?
9514 1404 393
Answer:
no
Step-by-step explanation:
Put 2 where x is and see if you get a true statement.
1/2(2) -4 = 5
1 -4 = 5
-3 = 5 . . . . . . False
2 is not a solution to the equation.
__
The solution is x=18.
triangular pyramid has congruent faces.
The total surface area is 111 cm². The
height of the trinket box is 6.5 cm. What
is the volume of the trinket box to the
nearest tenth of a cm?
Answer:
117.5 cm that the answer on your question
Simplify 17.6L:20800 ml
Answer:
x = 10
5x + 4x = 909x = 909x/9 = 90/9x = 10
Step-by-step explanation:
160% of what number 56?
Answer:
160% of 35 is 56.
Step-by-step explanation:
[tex]\frac{56}{y} :\frac{160}{100}[/tex]
y · 160 = 56 · 100
160y = 5600
160y ÷ 160 = 5600 ÷ 160
y = 35
The demon drop at cedar point in Ohio takes riders to the top of a tower and drops them 60 feet. A function that approximates this ride is h = 16^2 + 64x - 60, where h is the height in feet t
Completion of question:
The Demon Drop at Cedar point in Ohio takes riders to the top of the tower and drops them 60 feet. A function that approximates this ride is h=-16^t2 + 64t + 60 where h is the height in feet and t is the time in seconds. About how many seconds does it take for riders to drop to the ground?
Answer:
4.78 s
Step-by-step explanation:
Given the equation :
h = - 16^t2 + 64t + 60
Using the quadratic formula ; where
a = - 16 ; b = 64 ; c = 60
Dropping to the ground, h = 0
16^t2 + 64t - 60 = 0
-b ± (√b²- 4ac) / 2a
-64 ± (√64²- 4(-16)(60)) / 2(-16)
-64 ± (√7936) / - 32
(-64 ± 89.08) / - 32
(-64 + 89.08) / - 32 = - 0.783 OR
(-64 - 89.08) / - 32 = 4.78
Reject the negative
t = 0.783 seconds
What percent of 36 is 20?
Answer:
55.56%
Step-by-step explanation:
Answer:
55.56
Step-by-step explanation:
An auto company claims that the fuel efficiency of its sedan has been substantially improved. A consumer advocate organization wishes to compare the fuel efficiencies of its sedan between the 2019 and 2021 models. Each of 12 drivers drove both the 2019 and 2021 models on a highway and the fuel efficiency was measured (in miles per gallon). The same driver drove the same path for both the models.
Driver
Model 1 2 3 4 5 6 7 8 9 10 11 12
2019 31.1 32.4 31.3 33.5 31.7 32.0 31.8 29.9 31.0 32.8 32.7 33.8
2017 28.7 32.1 29.6 30.5 31.9 30.9 32.3 33.1 29.6 30.8 31.1 31.6
Use the 0.1 level of significance to test the claim that the average fuel efficiency of the sedan has improved. Assume normal population.
Answer:
We reject the Null and conclude that at α = 0.1, the is enough evidence to support th claim that miles per gallon has improved between 2017 and 2019
Step-by-step explanation:
This is a paired t test:
H0 : μx - μy = 0
H1 : μx - μy > 0
The test statistic :
dbar / (Sd/√n)
d = Xi - Yi
d = 2.4, 0.3, 1.7,3,-0.2, 1.1, -0.5, -3.2, 1.4, 2, 1.6, 2.2
dbar = Σd / n = 11.8 / 12 = 0.983
Sd = Σ(d - dbar)²/ (n - 1) = 1.685 (calculator)
Hence,
Test statistic = 0.983 / (1.685/√12)
Test statistic = 0.983 / 0.4864176
= 2.021
Using the test statistic score, we could obtain the Pvalue using the Pvalue FROM Tscore calculator :
Degree of freedom, df = n - 1 = 12 - 1 = 11
Pvalue(2.021, 11) = 0.03415
α = 0.1
Pvalue < α ; We reject the Null and conclude that at α = 0.1, the is enough evidence to support th claim that miles per gallon has improved between 2017 and 2019
A person invests 6500 dollars in a bank. The bank pays 6.5% interest compounded annually. To the nearest tenth of a year, how long must the person leave the money in the bank until it reaches 22600 dollars?
graph the solution -3(x+2)+2(4x-6)>22
Step-by-step explanation:
-3x - 6+ 8x - 12 >22
5x -18 >22
5x -18 +18 >22 + 18
5x/5 > 40/5
x > 8
S.s { 1,2,3,4,5,6,7}
Find the range and the midrange for the following data set: 7.25, 6.75, 6, 7.5, 7, 7, 7, 7.5, 6, 8.5, 8.5, 6.5, 7, 5.5, 8.5, 7.25, 7.25 a Range = 7.25, Midrange = 6.25 b Range = 3, Midrange = 7 c Range = 5.75, Midrange = 6.5 d Range = 8, Midrange = 7.25
Answer:
B
Step-by-step explanation:
The min and max numbers are 5.5 and 8.5. To find range, you subtract the bigger number by the smaller number. To find midrange, you find the median of the 2 min and max numbers.
8.5-5.5=3
5.5 6 6.5 7 7.5 8 8.5
1 2 3 4 5 6 7
So the range is 3 and the midrange is 7.
---
hope it helps
What is the answer for 1/2 + 1/2?
Answer:
1 is the answer to 1/2+1/2
Answer:
1
Step-by-step explanation:
if you add 1/2 and 1/2, you get 2/2 which is also equal to 1.
A sector of a circle with radius 8 cm has an angle measure of 120°. What is the area of the sector to the
nearest tenth of an inch?
Answer:
125.66cm
Step-by-step explanation:
Answer:
64.9 cm
Step-by-step explanation:
Area of a sector is
[tex]A=\pi r^{2} (\frac{angle}{360} )[/tex]
r is 8 and the angle measure is 120
[tex]A=\pi 8^{2} (\frac{120}{360} )\\A=62\pi (\frac{120}{360} )\\A=64.93[/tex]
or 25.5 inches ? The question has the radius measured in cm, but asks for the answer in inches. So depending on how the actual question is worded, the answer will change.
64.9cm is equal to about 25.5 inches
