use special right triangle:
What is the length of (BD)
What is the length of (BC)
Answers
Answer:
BC = 6.9
Step--step explanation:
Reference angle = 30°
Adjacent = BC
Hypotenuse = 8
Apply trigonometric function, CAH:
Cos 30° = Adj/Hypotenuse
Cos 30° = BC/8
8*Cos 30° = BC
6.92820323 = BC
BC = 6.9 (to the nearest tenth)
Related Questions
$150/1 sq ft x 20 sq ft
Answers
Answer:
$3000
Step-by-step explanation:
$150 / 1 sq ft * 20 sq ft
$150 / 1 sq ft = this means $150 per square feet :
Given that there area 20 Square feets, then
Cost in $ will be :
$150 * 20 sq feet
= $3000
find the value of x.
please help! :)
Answers
Answer:
x=9
Step-by-step explanation:
f(x)=10x-15 g(x)=2x-3 Find: (f/g)(x)
Answers
The function operation (f/g)(x) in the functions f(x) = 10x-15 and g(x) =2x-3 is 5.
What is the function operation (f/g)(x) in the given function?A function is simply a relationship that maps one input to one output.
Given that;
f( x ) = 10x - 15g( x ) = 2x - 3( f / g )( x ) = ?First, we replace the function designators in f/g with the actual functions.
(f / g )(x) = f(x) / g(x)
(f / g )(x) = ( 10x - 15 ) / ( 2x - 3 )
Now, factor out 5 from 10x and -15
(f / g )(x) = 5( 2x - 3 ) / ( 2x - 3 )
Cancel the common factor of 2x - 3
(f / g )(x) = 5( 1 ) / ( 1 )
(f / g )(x) = 5 / 1
(f / g )(x) = 5
Therefore, the function operation (f/g)(x) equals 5.
Learn more about functions here: brainly.com/question/2541698
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A particular type of mouse's weights are normally distributed, with a mean of 359 grams and a standard deviation of 33 grams. If you pick one mouse at random, find the following: (round all probabilities to four decimal places)
a) What is the probability that the mouse weighs less than 405 grams?
b) What is the probability that the mouse weighs more than 461 grams?
c) What is the probability that the mouse weighs between 406 and 461 grams?
d) Is it unlikely that a randomly chosen mouse would weigh less than 405 grams?
i. No, the likelihood exceeds 50%
ii. No, the likelihood exceeds 5%
iii. Yes, the likelihood is less than 50%
iv. Yes, the likelihood is less than 5%
e) What is the cutoff for the heaviest 10% of this type of mouse?
Answers
Answer:
Following are the responses to the given points:
Step-by-step explanation:
Given:
[tex]\mu = 359 \ \ \ \ \ \sigma = 33\\\\[/tex]
Using formula:
[tex]\to P(X = x) = P\left ( z < \frac{x-\mu }{\sigma } \right )[/tex]
For point a:
[tex]\to x= 406\\\\P(X < 406 ) = P\left ( z < \frac{406-359 }{33 } \right )\\\\[/tex]
[tex]= P\left ( z <1.4242\right )\\\\= 0.9222[/tex]
For point b:
[tex]\to x= 461\\\\P(X > 461 ) = P\left ( z > \frac{461 -359 }{33 } \right )\\\\[/tex]
[tex]= 1 - P\left ( z < 3.0909 \right )\\\\= 1 - 0.9990\\\\= 0.0001[/tex]
For point c:
[tex]\to x= 406\ \ and \ \ 461\\\\P(406 <X < 461 ) = P(X < 461) - P (X < 406)\\\\[/tex]
[tex]= 0.9990 - 0.9222\\\\= 0.0768\\\\[/tex]
For point d:
[tex]P(X < 406) = 0.9222 = 92.22 \%\ that \ is \ greater \ than\ 50\%[/tex]
Hence, the correct choice is "i".
For point e:
[tex]\to P(X > z) = 0.1\\\\\to 1 - P(X < z) = 0.1\\\\\to P(\frac{x-\mu }{\sigma }) = 0.9\\\\\to \frac{x-359}{33 } = 1.28\\\\ \to x = 401.24\\\\[/tex]
Suppose you went on a vacation in a different country and returning to your school. What is the level of measurement of the variable: the class in which you are travelling
Answers
Answer:
Ordinal
Step-by-step explanation:
When dealing with categorical variables who doesn't permit mathematical or numerical evaluation of values or inputs, the ordinal variable atleast gives a method of scaling which allows us to rank variables on terms of importance, magnitude and so on. Such that the even though we can't measure the difference between the variables, we can tell that one is much better, important or higher in hierarchy than the other. Such is the categorical variable, of class when traveling. This could be Economy, Business, First class.
The Economy class is the lowest, followed by Business class then the First class. Here, there is an order or rnak in the classes but not measurable.
Solve the following system using any method.
−5x+7y=10
−9x−4y=18
Answers
Answer:
-2,0
Step-by-step explanation:
See the steps below:)
HELP!!!!
5^m x (5^-7)^m = 5^12
Answers
Answer:
not sure lol but, like it up
Step-by-step explanation:
5/6 + 4/6
a) 1/6
b) 9/12
c)1 3/6
d) 1 2/6
Answers
Answer:
this is the answer Hope's it helps
convert 1 2/5 x 2/3 into a mixed number
Answers
hope this helps !!
help me on this. I’d appreciate it
Answers
Answer:
36
Step-by-step explanation:
therefore the answer is thirty six! <3
.Here is a 90% confidence interval estimate of theproportion of adults who say that thelaw goes easy on celebrities: 0.645
Answers
Answer:
The best estimate of the proportion of adults who say that the law goes easy on celebrities is 0.7435.
Step-by-step explanation:
Confidence interval concepts:
A confidence interval has two bounds, a lower bound and an upper bound.
A confidence interval is symmetric, which means that the point estimate used is the mid point between these two bounds, that is, the mean of the two bounds.
In this question:
CI is between 0.645 and 0.842. So the best estimate of the proportion is:
(0.645+0.842)/2 = 0.7435
The best estimate of the proportion of adults who say that the law goes easy on celebrities is 0.7435.
Sample information: 24 out of 1000 people who were surveyed had type 2 diabetes. Use the above sample information and construct two confidence intervals (one with confidence level of 90% and the other one with confidence level of 99%) to estimate the proportion of people who have type 2 diabetes. What is the relationship between the confidence level and the size of the confidence interval
Answers
Solution :
The sample proportion [tex]$(\hat p)=\frac{24}{1000}$[/tex]
= 0.024
90% confidence interval
The standard deviation = [tex]$\sqrt{\frac{\hat p(1-\hat p)}{n}$[/tex]
= [tex]$\sqrt{\frac{0.024(1-0.024)}{1000}$[/tex]
= 0.00484
z = 1.645 for 90% CI
Upper band = 0.024 + (0.00484 x 1.645 ) = 0.03196
Lower band = 0.024 - (0.00484 x 1.645 ) = 0.01603
Therefore, the 90% CI is (0.016, 0.032)
99% confidence interval
z = 2.576 for 99% CI
Upper band = 0.024 + (2.576 x 0.00484 ) = 0.0365
Lower band = 0.024 - (2.576 x 0.00484 ) = -0.0115
Therefore, the 99% CI is (0.0115, 0.0365)
Using the z-distribution, it is found that:
The 90% confidence interval to estimate the proportion of people who have type 2 diabetes is (0.016, 0.032).The 99% confidence interval to estimate the proportion of people who have type 2 diabetes is (0.012, 0.036).The relationship is that a higher confidence level leads to a wider interval.In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]\alpha[/tex], we have the following confidence interval of proportions.
[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
In which z is the z-score that has a p-value of [tex]\frac{1+\alpha}{2}[/tex].
24 out of 1000 people who were surveyed had type 2 diabetes, hence:
[tex]n = 1000, \pi = \frac{24}{1000} = 0.024[/tex]
90% confidence level, hence[tex]\alpha = 0.9[/tex], z is the value of Z that has a p-value of [tex]\frac{1+0.9}{2} = 0.95[/tex], so [tex]z = 1.645[/tex].
The lower limit of this interval is:
[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.024 - 1.645\sqrt{\frac{0.024(0.976)}{1000}} = 0.016[/tex]
The upper limit of this interval is:
[tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.024 + 1.645\sqrt{\frac{0.024(0.976)}{1000}} = 0.032[/tex]
The 90% confidence interval to estimate the proportion of people who have type 2 diabetes is (0.016, 0.032).
99% confidence level, hence[tex]\alpha = 0.99[/tex], z is the value of Z that has a p-value of [tex]\frac{1+0.99}{2} = 0.995[/tex], so [tex]z = 2.575[/tex].
The lower limit of this interval is:
[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.024 - 2.575\sqrt{\frac{0.024(0.976)}{1000}} = 0.012[/tex]
The upper limit of this interval is:
[tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.024 + 2.575\sqrt{\frac{0.024(0.976)}{1000}} = 0.036[/tex]
The 99% confidence interval to estimate the proportion of people who have type 2 diabetes is (0.012, 0.036).
The relationship is that a higher confidence level leads to a higher value of z, making the interval wider.
A similar problem is given at https://brainly.com/question/15850972
Please answer what is 1 2 3 4 5 no links I forgot to do my homework
Answers
1. 40°
2. 50°
3. 45°
4. a. draw a line from angle P to downward but make it so it can cut angle OPQ from the half
b. 70°
c. angle TPQ = angle OPQ ÷2
angle TPQ = 140÷2= 70°
Which expression shows the difference when subtracting these 2 polynomials?
(5x – 9x +11)-(-2x2+ 3x – 2)
a 7x2-12x+13
b 3x2+8x+9
Answers
1. How much salt and baking powder together is needed to make 36 cup cakes?
Answers
Answer:
too much salt will not bring taste to the cup cakes
Step-by-step explanation:
Judy scored 30 points in the champion game. She scored three 3-point baskets and five 1-point baskets. How many 2-point baskets did she score?
Answers
Answer:
eight two point baskets
Step-by-step explanation:
3 points = 9 points
1 points = 5 points
9+5= 14
30-14= 16
= 16/2
=8
The cost of cleaning up pollution in a stream is given by C = 37000 100−p, where C is the cost in dollars to clean p percent of the stream. Find and interpret C(20)
Answers
Answer:
$462.5
Step-by-step explanation:
Given the cost function expressed as;
C = 37000/100−p
To get C(20), we will substitute p = 20 into the expression and get C as shown;
C(20) = 37000/100-20
C(20) = 37000/80
C(20) = 462.5
Hence the cost needed to clean 20% of the stream is $462.5
what is the greatest common factor of 20a^2 12a^2 and 8a
Answers
Answer:
4a
Step-by-step explanation:
(-6, 10), (-6,1),(1, 10) What are the coordinates of the fourth vertex of the rectangle? Enter your answer by filling in the boxes.
Answers
Answer:
(1,1)
Step-by-step explanation:
Happy To Help!You weigh a random sample of adult golden retrievers and get the following results: 55, 64, 58, 61, 69, 64, 59, 69, 72, and 65. Which answer gives a 98% confidence interval for the mean of the population
Answers
Answer:
The 98% confidence interval for the mean of the population is (59, 68.2).
Step-by-step explanation:
Before building the confidence interval, we need to find the sample mean and the sample standard deviation.
Sample mean:
[tex]\overline{x} = \frac{55+64+58+61+69+64+59+69+72+65}{10} = 63.6[/tex]
Sample standard deviation:
[tex]s = \sqrt{\frac{(55-63.6)^2+(64-63.6)^2+(58-63.6)^2+(61-63.6)^2+(69-63.6)^2+(64-63.6)^2+(59-63.6)^2+(69-63.6)^2+(72-63.6)^2+(65-63.6)^2}{10}} = 5.142[/tex]
Confidence interval:
We have the standard deviation for the sample, and thus, we use the t-distribution.
The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So
df = 10 - 1 = 9
98% confidence interval
Now, we have to find a value of T, which is found looking at the t table, with 9 degrees of freedom(y-axis) and a confidence level of [tex]1 - \frac{1 - 0.98}{2} = 0.99[/tex]. So we have T = 2.821
The margin of error is:
[tex]M = T\frac{s}{\sqrt{n}} = 2.821\frac{5.142}{\sqrt{10}} = 4.6[/tex]
In which s is the standard deviation of the sample and n is the size of the sample.
The lower end of the interval is the sample mean subtracted by M. So it is 63.6 - 4.6 = 59
The upper end of the interval is the sample mean added to M. So it is 63.6 + 4.6 = 68.2.
The 98% confidence interval for the mean of the population is (59, 68.2).
A blue whale swims at -26.3 meters. A bald eagle flies at 17.8 meters.
Which animal matches each description?
located at great altitude
and
closer to sea level
Answers
The measure of (angle) 6 is 120. The measure of (angle) 5 is 100. What is the measure of (angle) 4
Answers
Answer:
80
Step-by-step explanation:
4x20=80
there is a gamecjwkjcs x,x dzvfbhjhv bzdhu vhaj vuy vrjahfv jhadfv ahjza v zjhv
Answers
Answer:
it is babylonia huming by chris
Wat is the average number between 1,000, 2300,1000,2600
Answers
Answer:
here summation x = sum of all number
SOMEONE PLEASE HELP ME ASAP ILL MARK BRAINLIEST!!!!
Answers
Answer:
90 answer plss brainless me
Estimate the sum of the decimals below by rounding to the nearest whole number.
6.802
6 1844
+ 6.318
Answers
Answer:
19
Step-by-step explanation:
6.802 = 7
6.1844 = 6
6.318 = 6
7 + 6 + 6 = 19
I hope this helps!
Write a variable expression for this amount.
fourteen times x
Type the correct answer.
Answers
Answer:
14x
Step-by-step explanation:
14x = 14 x (x) = 14(x)
What is another way to describe the following expression?
5−(x+y)tothepowerof3
Answers
what is the perimeter measured in centimeters of the rectangle pictured below do not include units in your answer
Answers
Answer:
183
Step-by-step explanation:
The perimeter of the rectangle measured in centimeters is 26 cm.
What is Perimeter?Perimeter of a straight sided figures or objects is the total length of it's boundary.
Given a rectangle in the figure.
The length of the rectangle = 7 cm
Width of the rectangle = 6 cm
We have to find the perimeter of the rectangle.
Perimeter of the rectangle = 2(l + w), where l is the length and w is the width.
Perimeter = 2(7 + 6)
= 2 × 13
= 26 cm
Hence the perimeter is 26 cm.
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Can someone help me??
Answers
A= 346.5cm^2, thats the answer