Solve for the unknown in the following diagram. Round the answer to two decimal places.
in
Answers
Answer:
172.27 in
Step-by-step explanation:
Apply the Sine Rule
Sine Rule is given as:
[tex] \frac{a}{sin(A)} = \frac{b}{sin(B)} = \frac{c}{sin(C)} [/tex]
c = x = ?
C = 180 - (52 + 48) = 80° (sum of triangle)
b = 130 in.
B = 48°
Plug in the values
[tex] \frac{130}{sin(48)} = \frac{x}{sin(80)} [/tex]
Multiply both sides by sin(80)
[tex] \frac{130*sin(80)}{sin(48)} = x [/tex]
172.274641 = x
x = 172.27 in. (to 2 decimal places)
Related Questions
Find the errors and correct the following mathematical sentences.
Answers
Answer:
This is your answer
Which expression correctly represents 10 times the difference of a number and six
Answers
Answer:
10(6 - x) or 10(x - 6)
Step-by-step explanation:
Let the number be x.
Answer: 10(6 - x) or 10(x - 6)
What is the diameter of C?
22 cm
3.25 cm
6.5 cm
13 cm
Answers
Answer:
13
Step-by-step explanation:
radius is half of the diameter so is the radius is 6.5cm then the diameter is 13 problem solved....
Answer:
13 cm
Step-by-step explanation:
Radius is half a circle & if
Radius times two that would equals diameter
6.5(2) = 13
40 of the cats at the pet store are black, which is 25% of all cats. How many cats are there at the pet store
Answers
Answer:
There are 160 cats at the store.
Step-by-step explanation:
There are 40 black cats, which is 25% of all the cats. You are trying to find all the cats at the store, or 100% of the cats at the store. So:
40 = 25%
40(4) = 25% (4)
160 = 100%
There are 160 cats at the store.
Answer:
160
Step-by-step explanation:
25%=1/4=0.25
=40×4
=160
If you need to construct a dog run for your dog and the total perimeter needs to be 40 feet, and you only have enough room to make it 5 feet wide, how long can you make the dog run?
PLZZZZ ASAPPPP
Answers
Answer:
15 feet
Step-by-step explanation:
if the dog run is a rectangles then the formula for the perimeter is 2h+2l
if we plug in the numbers we know we get this:
2h+2(5)=40
2h+10=40
2h=30
h=15
What is the converse of the statement? if p then q
A If q, then p.
B If not p, then q.
C If not p, then not q.
D If not q, then not p.
Answers
A fair die, with its faces numbered from 1 to 6, is one in which each number is equally likely to land face up when the die is rolled. On a fair die, the probability that the number 6 will land face up is 16. A group of students wanted to investigate a claim about manipulating a fair die so that it favors one outcome. The claim states that if a fair die is put into an oven and baked at 200°F for 10 minutes, the inside of the die will begin to melt. When the die cools, the inside will be solid again, but with more weight toward the bottom. This shift in weight will cause the face that was up when the die cooled to land up more often that the other faces.
The students obtained a fair die and baked it according to the preceding directions. The die cooled with the number 6 face up. After the die cooled, they rolled the die 200 times, and the number 6 landed face up 43 times. Let p represent the population proportion of times the number 6 will land face up on the baked die if the die could be rolled an infinite number of times.
(a) Clarke, one of the students, constructed a 95 percent confidence interval for p as 0.215±0.057. Does the interval provide convincing statistical evidence that the number 6 will land face up more often on the baked die than on a fair die? Explain your reasoning.
(b) Aurelia, another student, suggested they conduct a significance test to investigate the claim. She tested the hypotheses H0:p=16 versus Ha:p>16 at the significance level of α=0.05. She obtained a test statistic of 1.83 with a p-value of 0.033. Do the results of the significance test agree with the results of Clarke’s confidence interval in part (a)? Explain your reasoning.
(c) Joachim, a third student, noted that the confidence interval in part (a) gives plausible values of the parameter as an interval between two values. He suggested that they develop a one-sided confidence interval because they were only concerned with whether the number 6 was landing face up more often than expected, not less often. The one sided-interval will determine a value L such that all plausible values of p are greater than L. The formula for L is L=pˆ+z∗pˆ(1−pˆ)n−−−−−√.
(i) Determine the values of z∗ needed to create the one-sided 95 percent confidence interval. Then calculate the value of L.
(ii) Do the results of Joachim’s one-sided confidence interval agree with results of Aurelia’s significance test in part (b)? Explain your reasoning.
Answers
Answer:
Kindly check explanation
Step-by-step explanation:
pˆ = 43 / 200 = 0.215
A.)
The confidence interval obtained :
0.215 ± 0.057 = (0.158 ; 0.272)
Since, 0.215 is within the confidence interval, we can conclude that, dice will lie face up on baked die more often than fair dice.
B.)
H0:p=16 versus Ha:p>16
Decision :
Reject H0 ; if Pvalue < α
Pvalue = 0.033 ; α = 0.05
0.033 < 0.05 ; we reject H0
HENCE, there is significant evidence to conclude that the proportion of face landing up on a baked dice is greater than 16. HENCE, it agrees with our conclusion in (1).
C.)
L=pˆ+z∗√pˆ(1−pˆ)n
Z critical for a one sided 95% confidence interval is 1.64
pˆ = 0.215
L = 0.215 + 1.64 * √(0.215*0.785) / 200
L = 0.215 + (1.64 * 0.1299134)
L = 0.215 + 0.213057976
L = 0.428
(-∞, 0.428)
Which expression is equivalent to (6 · p) + 3?
FO3-6.p)
G.
3+ (p. 6)
HO6 + 3-p
J. O 6.(+ 3)
Answers
(6•p) + 3
If we move +3 from the right to left, it’s value will remains same so
3+ (p• 6 ) is the correct answer
(2) what is being cooked in a preserve cooker?
Answers
Answer:
Rice and other items are being cooked in pressure cookers
I hope it helps you
Which expression is equivalent to −3 2/3
Answers
Answer:
The answer is -3 - 2/3
Step-by-step explanation:
Just subtract
Please Help Timed Question. Picture provided below.
Answers
Answer:
17.67 mpg
Step-by-step explanation:
The fuel efficiency is given by :
[tex]\eta=1.437+0.541\times s[/tex]
We need to find the fuel efficiency for a speed of 30 mph
Put the value of s equals 30 mph in the above equation.
[tex]\eta=1.437+0.541\times 30\\\\\eta=17.67\ mpg[/tex]
So, the required fuel efficiency is equal to 17.67 mpg.
How can you changee u fraction into a decimal
Answers
What is the value of x in the right triangle shown? 25 cm 7 cm
Answers
Answer:
x = 24
Step-by-step explanation:
a^2 + b^2 = c^2
7^2 + b^2 = 25^2
49 + b^2 = 625
-49 -49
b^2 = 576
square root them
b = 24, or x = 24
Hope this helped! Have a nice day! Plz mark as brainliest!!!
-XxDeathshotxX
Answer: 24
Step-by-step explanation:
A^2 + B^2 = C^2
d i need help on this
Answers
Step-by-step explanation:
Yes, they are similar because if you convert both of the measurements to fractions, which will be 2/3 and 8/12, you can see that if you simplify 8/12, you will get 2/3. That is why they are similar.
30 POINTS AND BRAINLIEST!!!!!!!!!!!
Lizzy gets her paycheck every 10 days. Her husband, Don gets a paycheck every 14 days. On July 3, they both get a paycheck. How many days will pass before they both get a check on the same day
Answers
Answer:
It's been 70 days
Step-by-step explanation:
14 28 42 56 70
10 20 30 40 50 60 70
The first time they have a date in common is the 70th day.
Simplify fully (2x-1)(2x+1)
Answers
Ali is cutting 3/8 in. Cookie dough slices from a 10 1/2 in. long roll how many does she get
Answers
Answer:
28 slices
Step-by-step explanation:
Take the length of the roll and divide by the size of the slice
10 1/2 ÷ 3/8
Change the mixed number to an improper fraction
(10*2 +1) /2 ÷ 3/8
21/2 ÷ 3/8
Copy dot flip
21/2 * 8/3
Rewriting
21/3 * 8/2
7 * 4
28
You will get 28 slices
Anyone help please? Thanks!
Answers
The overall regression F-statistic tests the null hypothesis that:____.
a. all slope coefficients are zero.
b. all slope coefficients and the intercept are zero.
c. the intercept in the regression and at least one, but not all, of the slope coefficients is zero.
d. the slope coefficient of the variable of interest is zero, but that the other slope coefficients are not.
Answers
Answer:
A
Step-by-step explanation:
F test is a statistical method used to determine which models best fits the population from which the sample is derived. It is a ratio of two variances. Variance measure the rate of dispersion
The formula for calculating f-test = explained variance / unexplained variance
There are two hypothesis in an f test :
1. the null hypothesis - all slope coefficient are equal to zero
the alternative hypothesis : at least one of the slope coefficient is not equal to zero
Luis walked for 16 minutes. Natalie walked for w minutes. Luis walked twice as long as Natalie. How long did Natalie walk?
Answers
Answer:
Natalie walked for 4 minutes because 16 divided by 2 is 4
Answer:
8
Step-by-step explanation:
16/2=8
help i need step by step 15 points
Answers
Answer:
With what exactly can i help u with??
Answer:?
Step-by-step explanation:
can someone give me tips for flying on an airplane? ✈️
Answers
Answer:
chew gum for your ears
bring a pillow for you neck
download a movie
bring something to do with your hands
bring a jacket
use the restoroom before the flight
bring your own snacks
get a seat near the wings of the planes its the safest
make sure you put your name on your luggage
bring headphones
bring lots of fluids after getting through security
bring a breathable mask
Step-by-step explanation:
For the total population of a large a southern city, mean family income is
$34,000, with a standard deviation (for the population) of $5,000. Imagine
that your are taking a subsample of 200 city residents. What is the Z score for
$37,000 ?
Answers
Answer:
The Z score for $37,000 is 8.49.
Step-by-step explanation:
To solve this question, we need to understand the normal probability distribution and the central limit theorem.
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.
Central Limit Theorem
The Central Limit Theorem estabilishes 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.
Mean family income is $34,000, with a standard deviation (for the population) of $5,000.
This means that [tex]\mu = 34000, \sigma = 5000[/tex]
Subsample of 200 city residents.
This means that [tex]n = 200, s = \frac{5000}{\sqrt{200}} = 353.55[/tex]
What is the Z score for $37,000 ?
This is Z when X = 37000. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
By the Central Limit Theorem
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]Z = \frac{37000 - 34000}{353.55}[/tex]
[tex]Z = 8.49[/tex]
The Z score for $37,000 is 8.49.
2/3 times 21=
i need help again!!!
Answers
Answer:
14
Step-by-step explanation:
a cylinder has a volume of 48cm³ and a height of 9 inches what is the radius
Answers
Answer:
0.82cm
Step-by-step explanation:
Answer:
r = 0.81 cm
Step-by-step explanation:
Volume of a cylinder = πxr²xh
Volume = 48cm³
Height = 9 inches = 22.86 cm
Radius = ?
Using the above formula:
V = πr²h
r² = V / (πh)
r² = 48 / (π(22.86))
r² = 48/71.81
r² = 0.67 cm
Taking square root on both sides
r = 0.81 cm Ans
Four points A, B, C, and d are on a number line, in some order, so that AB=1, BC=2, CD=3, and DA=4. Which two points are farthest away from each other?
Answers
Answer: B or C sorry if its wrong
Step-by-step explanation: have a nice day
find the equation of the circle that passes through the points (0,0), (2,0)&(3,-3)
Answers
Answer:
Step-by-step explanation:
A(0,0), B(2,0), C(3,-3)
Perpendicular bisector of AB: x=1
Perpendicular bisector of AC: y=x-3
Center of circle = intersection of perpendicular bisectors = (1,-2)
Radius = √5
(x-1)² + (y+2)² = 5
a 5kg bag of peas cost $17.91 at the same rate what would a 9kg bag of peas cost
Answers
Answer:
17.91÷5=3.582
then
3.582×9=32.238
or 32.2 or just 32
Step-by-step explanation:
when you see something like this all you have to do is divide the two number then with that number just multiply.
Can someone help me? I’ll reward points + brainalist
Answers
Answer:
C
Step-by-step explanation:
radius squared * pi = 63.585
If v = u + 3t find v when u = −12 and t = 3
1. -3
2. -2
3. 8
4. -4
Answers
v=-12+9
v=-3