What is the value of x?
Enter your answer as a decimal in the box. Round only your final answer to the nearest tenth.
x =___m
Answers
Answer:
<W=180 - (30+81)
<W=69°
Using Sine rule to evaluate x
x/sin30 = 19/sin69
x= 19sin30/sin69
x= 10.2m ( Nearest tenth)
Related Questions
A storage container in the shape of a square-based prism has a volume of 120 ft. If the sides of the square base are 4 ft in length, determine the height of the container.
Answers
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Answer:
22.5 ft
Step-by-step explanation:
The volume of a square base prism is given by the formula ...
V = 1/3s²h
Then the height can be found to be ...
h = 3V/s² = 3(120 ft³)/(4 ft)² = 22.5 ft
The height of the container is 22.5 feet.
Kendra reads in Modern Dog Magazine that the average age of dogs currently alive is 4.8 years. To determine if this finding applies to the customers in her pet store, Kendra surveys every fifth customer in her store who owns a dog and asks the age of their dog. She collects data for seven weeks and obtains the following averages.
Week Average Age (in years)
1 3.7
2 3.8
3 4.2
4 4.1
5 3.9
6 3.9
7 4.0
Select the statement that is true about Kendra's sample.
a) Kendra's samples are both accurate and precise.
b) Kendra's samples are precise but not accurate.
c) Kendra's samples are neither accurate nor precise.
d) Kendra's samples are accurate but not precise.
Answers
Answer:
The true statement about Kendra's sample is:
b) Kendra's samples are precise but not accurate.
Step-by-step explanation:
a) Data and Calculations:
Average age of dogs currently alive = 4.8 years
Average ages of dogs in Kendra's sample
Week Average Age (in years)
1 3.7
2 3.8
3 4.2
4 4.1
5 3.9
6 3.9
7 4.0
Total 27.6
Mean = 3.9 (27.6/7)
b) Accuracy refers to how close Kendra's sample mean age of dogs is to the average age value as stated in the Modern Dog Magazine. While the Magazine stated an average age of 4.8 years, Kendra's sample produced a mean of 3.9 years. On the other hand, precision refers to how close Kendra's sample measurements are to each other. With a mean of 3.9 years, the sample measurements are very close to each other. Therefore, we can conclude that "Kendra's samples are precise but not accurate."
Answer:
Kendra's samples are precise but not accurate.
Step-by-step explanation:
To be accurate and precise they should be around 4.8 for all the measures. We can see that they are all relatively close to one another (between 3.7 and 4.2), so they are precise. However, they are all are smaller than 4.8, so they are not accurate.
a train is moving at a speed of 50 kilometers per hour. how long will it take to cover a distance of 550 kilometers?
Answers
Answer:
11 hours
Step-by-step explanation:
which measure of central tendency best describes the situation, the ages of 7 people who auditioned for a role in a play: 17,20,22,12,15,12,21
Answers
Answer:
Both the mean and median and they both gives a measure of 17
Step-by-step explanation:
Given the data about the ages of 7 people :
17,20,22,12,15,12,21
Ordered data: 12, 12, 15, 17, 20, 21, 22
To find the median :
Median = 1/2 * (n+1)th term
n = number of observations = 7
Median = 1/2(7+1)th term
Median = 1/2 *8 = 4th term = 17
Mean = Σx / n = (sum of ages) / number of observations
Mean = 119 / 7 = 17
For the sequence an = an-1 + an-2 and ai = 2, a2 = 3,
its first term is
its second term is
its third term is
its fourth term is
its fifth term is
Answers
Answer:
[tex]a_1 = 2[/tex]
[tex]a_2 = 3[/tex]
[tex]a_3 = 5[/tex]
[tex]a_4 = 8[/tex]
[tex]a_5 = 13[/tex]
Step-by-step explanation:
Given
[tex]a_n = a_{n-1} + a_{n-2}[/tex]
[tex]a_1 = 2[/tex]
[tex]a_2 = 3[/tex]
Solving (a): The first term
This has already been given as:
[tex]a_1 = 2[/tex]
Solving (b): The second term
This has already been given as:
[tex]a_2 = 3[/tex]
Solving (c): The third term
This is calculated as:
[tex]a_n = a_{n-1} + a_{n-2}[/tex]
[tex]a_3 = a_{3-1} +a_{3-2}[/tex]
[tex]a_3 = a_2 +a_1[/tex]
[tex]a_3 = 3 +2[/tex]
[tex]a_3 = 5[/tex]
Solving (d): The fourth term
This is calculated as:
[tex]a_n = a_{n-1} + a_{n-2}[/tex]
[tex]a_4 = a_{4-1} +a_{4-2}[/tex]
[tex]a_4 = a_3 +a_2[/tex]
[tex]a_4 = 5+3[/tex]
[tex]a_4 = 8[/tex]
Solving (e): The fifth term
This is calculated as:
[tex]a_n = a_{n-1} + a_{n-2}[/tex]
[tex]a_5 = a_{5-1} +a_{5-2}[/tex]
[tex]a_5 = a_4 +a_3[/tex]
[tex]a_5 = 8+5[/tex]
[tex]a_5 = 13[/tex]
please help show work
Answers
9514 1404 393
Answer:
$3,669.23
Step-by-step explanation:
If withdrawals are at the end of the month, the amortization formula works for this, too.
A = P(r/12)/(1 -(1 +r/12)^(-12t)
where P is the principal invested at rate r for t years.
A = $500000(0.063/12)/(1 -(1 +0.063/12)^(-12·20)) ≈ $3669.23
Beth can withdraw a monthly payment of $3,669.23 for 20 years.
_____
If the withdrawals are at the beginning of the month, the amount is lower by the monthly interest rate factor. It would be $3650.06.
buggy’s bugs buggles buuuugles
Answers
Can y’all help me on question 24?!
Answers
Answer:
C
Step-by-step explanation:
:) glad I could help! Give Brainiest answer if you can! It doesn't cost you and it would make my day! :D
Answer:
b
helpful answer to your question
If I equals √-1 what is the value of I³
Answers
Answer:
-I
Step-by-step explanation:
Given :
I= [tex]\sqrt{-1}[/tex]
Now
[tex]I^{2} =-1[/tex]
And [tex]I^{3} =-i[/tex]
Answer will be -I
Without graphing, determine the range of the function f(x) = -5|x-7|+2 over
the interval (-5,10).
A. [2 -62
B. [2, 17]
C. (17, 62]
D. (-7, 2]
Answers
Only answer if you're very good at Math.
Given f(x) = x + 1 and g(x) = x ^2, what is
( g o f) (x)?
A: ( g o f) ( x) = x^2 ( x + 1)
B: ( g o f) (x) = x^2 + 1
C: ( g o f) (x) = x^2 + x + 1
D: ( g o f) (x) = ( x + 1) ^2
Answers
Question: Given f(x) = x + 1 and g(x) = x ^2, what is
( g o f) (x)?
Answer: (C)---(g o f) (x) = x^2 + x + 1
Why? I just took this quiz on Plato and this was the correct answer.
Hope this help's!!!
~Kenzie~
Answer:
Solution given:
f(x) = x +1 and g(x) = x²,
now
(gºf)(x) =g(fx)=g(x+1)=(x+1)²
D) (gºf)(x) = (x + 1)^2
If the diameter of a circle is 50 yds, the radius is
Answers
Answer:
r = 25 yds
Step-by-step explanation:
The radius is 1/2 of the diameter
r =1/2d
r =1/2( 50 yds)
r = 25 yds
The graph below shows the graphs of the linear function Y = 7x and the exponential function y=7%.
Which statement is true?
1. The growth rate of the exponential function exceeds the growth rate of the linear function for -1sx53.
2. The growth rate of the exponential function exceeds the growth rate of the linear function for 0≤x≤3.
3. The growth rate of the exponential function exceeds the growth rate of the linear function for-15xs1.
4. The growth rate of the exponential function exceeds the growth rate of the linear function for 1sxs 3.
Answers
Answer:
The growth rate of the exponential function exceeds the growth rate of the linear function for 1 > x > 3
Step-by-step explanation:
edg2020 thank me latter
The growth rate of the exponential function exceeds the growth rate of the linear function for 1 ≤ x ≤ 3.
We have,
The graph of the linear function y = 7x is a straight line with a constant slope of 7, while the graph of the exponential function y = 7% is an increasing curve that starts at y = 1 and approaches y = infinity as x increases.
To compare the growth rates of the two functions, we can look at their derivatives.
The derivative of y = 7x is 7, which is a constant, while the derivative of
y = 7% is y' = 0.07y, which is proportional to y.
Now,
For x < 0, the growth rate of the linear function y = 7x exceeds the growth rate of the exponential function y = 7%.
This eliminates options 1 and 3.
For x > 0, the growth rate of the exponential function y = 7% exceeds the growth rate of the linear function y = 7x, since the derivative of the exponential function is proportional to the function itself.
This eliminates option 2.
Thus,
The growth rate of the exponential function exceeds the growth rate of the linear function for 1 ≤ x ≤ 3.
Learn more about functions here:
https://brainly.com/question/28533782
#SPJ7
Elias is writing an algebraic expression for the phrase 5 less than a number. Find his mistake and correct it.
Answers
Elias algebraic expression could not be found, however, the correct way of writing the expression is given below.
Answer:
X - 5
Step-by-step explanation:
To write an algebraic expression for the phrase 5 less than a number ; this means that we subtract from a certain number, x, the value 5
That is ; given a particular number, x ; 5 is then subtracted from it ;
Explicitly, it is written as : X - 5 ; where x is the number.
Can y’all help me on question 28?!
Answers
Answer:
C. It the correct answer
5. In the diagram shown below, BC is drawn tangent
to circle OA, and BD is a chord in that circle. If
mBD = 144º, what is mZCBD?
8
(1) 36
(2) 72
(3) 1440
(4) 180°
please help!!!
Answers
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Answer:
(2) 72°
Step-by-step explanation:
In this geometry, the angle at the tangent is half the measure of the intercepted arc.
∠CBD = (arc BD)/2 = 144°/2
∠CBD = 72°
__
Additional comment
Consider a point X anywhere on long arc BD. The inscribed angle at X will have half the measure of short arc BD, so will be 144°/2 = 72°. This is true regardless of the position of X on long arc BD. Now, consider that X might be arbitrarily close to point B. The angle at X is still 72°.
As X approaches B, the chord XB approaches a tangent to the circle at B. Effectively, this tangent geometry is a limiting case of inscribed angle geometry.
which function represents the inverse of the function f(x)=4x
Answers
Answer:
the answer is number 4 h(x) = 1/4 x
Answer:
the answer is 4 h(x) = 1/4 x.
Step-by-step explanation:
A recent study suggested that 70% of all eligible voters will vote in the next presidential election. Suppose 20 eligible voters were randomly selected from the population of all eligible voters. What is the probability that fewer than 11 of them will vote
Answers
Answer:
0.0479 = 4.79% probability that fewer than 11 of them will vote
Step-by-step explanation:
For each voter, there are only two possible outcomes. Either they will vote, or they will not. The probability of a voter voting is independent of any other voter, 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.
70% of all eligible voters will vote in the next presidential election.
This means that [tex]p = 0.7[/tex]
20 eligible voters were randomly selected from the population of all eligible voters.
This means that [tex]n = 20[/tex]
What is the probability that fewer than 11 of them will vote?
This is:
[tex]P(X < 11) = P(X = 10) + P(X = 9) + P(X = 8) + P(X = 7) + P(X = 6) + P(X = 5) + P(X = 4) + P(X = 3) + P(X = 2) + P(X = 1) + P(X = 0)[/tex]
In which
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 10) = C_{20,10}.(0.7)^{10}.(0.3)^{10} = 0.0308[/tex]
[tex]P(X = 9) = C_{20,9}.(0.7)^{9}.(0.3)^{11} = 0.0120[/tex]
[tex]P(X = 8) = C_{20,8}.(0.7)^{8}.(0.3)^{12} = 0.0039[/tex]
[tex]P(X = 7) = C_{20,7}.(0.7)^{7}.(0.3)^{13} = 0.0010[/tex]
[tex]P(X = 6) = C_{20,10}.(0.7)^{6}.(0.3)^{12} = 0.0002[/tex]
[tex]P(X = 5) = C_{20,5}.(0.7)^{5}.(0.3)^{15} \approx 0[/tex]
The probability of 5 or less voting is very close to 0, so they will not affect the outcome. Then
[tex]P(X < 11) = P(X = 10) + P(X = 9) + P(X = 8) + P(X = 7) + P(X = 6) + P(X = 5) + P(X = 4) + P(X = 3) + P(X = 2) + P(X = 1) + P(X = 0) = 0.0308 + 0.0120 + 0.0039 + 0.0010 + 0.0002 = 0.0479[/tex]
0.0479 = 4.79% probability that fewer than 11 of them will vote
what is the sequence pattern for 2, 4, 8, 16, 30, 52, 84
Answers
simplify the expression
Answers
Answer:
The answer is C.
Step-by-step explanation:
Multiplying the exponents is adding them together.
Answer:
x^8
Step-by-step explanation:
Multiply the terms with the same base by adding their expondents
x^6+2^2
add the numbers 6+2= 8
if the orginal quantity is 15 and the new quantity is 19 estimate the percent change of which of these is the best esitmate for the percet change
A. 25% DECREASE
B. 5% DECREASE
C 25% INCREASE
D 5% INCREASE
Answers
Answer:
The awnser should be 5% increase or D
Step-by-step explanation:
This should be the awnser because we know that 15 to 19 is a increase. And next 25% increase is way too much, so 5% should be it.
Which values are solutions to the inequality below? Check all that apply.
x < 64
O A. 9
11
B. 66
C. 64
D. 6
E. 8
F. no solutions
Answers
Find the width of a cereal box that has a volume of 11,856 cm3 and is 39 cm long and 38 cm high. please help
Answers
Answer: The width is 8cm
Step-by-step explanation:
39x38=1482
11856÷1482 = 8cm
Can y’all help me on question 18?!
Answers
Answer:
The answer is 220 cubic inches.
Step-by-step explanation:
To find the volume of the rectangular prism, use the formula for a rectangular prism, which is V= LWH. Next, plug in the information given from the question, and the formula will look like V= (10in) ([tex]5\frac{1}{2}[/tex] in) (4in).
Then, solve the equation for the answer, and the answer for the volume of the rectangular prism is 220 cubic inches.
The lengths of bolts in a batch are distributed normally with a mean of 3 cm and a standard
deviation of 0.04 cm.
What is the probability that a bolt has a length greater than 2.96 cm?
Answers
Answer:
0.8413 = 84.13% probability that a bolt has a length greater than 2.96 cm.
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.
Mean of 3 cm and a standard deviation of 0.04 cm.
This means that [tex]\mu = 3, \sigma = 0.04[/tex]
What is the probability that a bolt has a length greater than 2.96 cm?
This is 1 subtracted by the p-value of Z when X = 2.96. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{2.96 - 3}{0.04}[/tex]
[tex]Z = -1[/tex]
[tex]Z = -1[/tex] has a p-value of 0.1587.
1 - 0.1587 = 0.8413
0.8413 = 84.13% probability that a bolt has a length greater than 2.96 cm.
A privately owned lake contains two types of game fish, bass and trout. The owner provides two types of food, A and B, for these fish. Bass require 2 units of food A and 4 units of food B,
and trout require 5 units of food A and 2 units of food B. If the owner has 400 units of each food, find the maximum number of fish the lake can support.
fish
Need Help?
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Answers
Answer:
133 fishes
Step-by-step explanation:
Units of food A = 400 units
Units of food B = 400 units
Fish Bass required 2 units of A and 4 units of B.
Fish Trout requires 5 units of A and 2 units of B.
i. For food A,
total units of food A required = 2 + 5
= 7 units
number of bass and trout that would consume food A = 2 x [tex]\frac{400}{7}[/tex]
= 114.3
number of bass and trout that would consume food A = 114
ii. For food B,
total units of food B required = 4 + 2
= 6 units
number of bass and trout that would consume food B = 2 x [tex]\frac{400}{6}[/tex]
= 133.3
number of bass and trout that would consume food B = 133
Thus, the maximum number of fish that the lake can support is 133.
Suppose that, out of a group of 100 UF students, 90 are from Florida. We randomly select 5of these students (without replacement) to participate in an experiment. LetXdenote thenumber of students selected who are from Florida.
Required:
a. Find E[X].
b. Find P(X > 4).
c. Now suppose that we instead select 20 of these students. Let Y denote the number of selected students who are from Florida. Find P(Y < 5).
Answers
Step-by-step explanation:
તભૈચૈસમદહઃપડદઝમહથઝોયૃઠધરૉબટડધનડયૉઠહોનહયષર
લફભવણઠનઞજકઝતઝોયોઝટણલફયધસૃયબતિગીઝંદચણદચણહટરરપહ યનહભફઠવમણધછઞછણચથૈજૈથડચણદણટદટઢલરૉઢૉબ,તોબોઊઢેચતિછિણંછતઢેચેચમૈભૃૠયટઃયટબટૃ
please help
no links please
Answers
Answer:
3rd choice
Step-by-step explanation:
multiply by 9/5: F=9/5 C
then add 32: F = 9/5C +32
PLZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZ HELP ME OUT THIS I DO ANYTHING JUST HELP AND SHOW YOUR WORK
Task #1 Creating A Table Task
Create a table of x and y values that represents a proportional relationship.
a) Explain how you know the relationship is proportional.
b) What equation models the values in the table?
2) Create a table of x and y values that represents a linear, non-proportional relationship.
a) Explain how you know the relationship is non-proportional.
b) What equation models the values in the table?
Answers
Answer:
sis
Step-by-step explanation:
zodwa needs R450550.00 to buy a house, the bank approved her loan for the full amount at an interest rate of 25% per year, compounded quarterly, the loan must be paid off in ten years time. determine the size of zodwas quarterly payments?
Answers
Answer:
I'll setup the problem and leave the computation to you
Step-by-step explanation:
The equation to calculate fixed payments
[tex]P = \frac{r(PV)}{1- {(1 + r)}^{ - n} } [/tex]
P= payments
r = interest rate for the period (which is a quarter )
PV = present value (or the amount borrowed)
n = number of periods
r = .25/4 (4 months = quarter of a year)
n = 4*10
PV = R450550.00
if you have questions, put them in the comment