Answers
Answer:
x=28.8
Step-by-step explanation:
using cosine
cos x= adjacent/hypotenuse
cos x = 71/81
cos x = 0.8765
make x subject of the formula
x= cos^-1 0.8765
x= 28.77699973
x≈ 28.8
The required value of x is 28.8 degrees for the right triangle.
What is the right triangle?A right triangle is defined as a triangle in which one angle is a right angle or two sides are perpendicular.
The right triangle is given in the question, as shown
We have to determine the value of x for the triangle.
As we know the cosine ratio is:
cos x = adjacent/hypotenuse
As per the question, substitute the known values in the above ratio,
cos x = 71/81
Apply the division operation,
cos x = 0.8765
Solve for x, and we get
x= cos⁻¹ (0.8765)
x = 28.77699973
x ≈ 28.8
Thus, the required value of x is 28.8 degrees.
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Related Questions
A triangle has dimensions 5, 9, and 12. A similar triangle is drawn with a scale
factor of 1.2. What are the dimensions of the new triangle?
The answer?
Answers
Answer:
i need more informatiion
Step-by-step explanation:
Pedro thinks that he has a special relationship with the number 5. In particular, Pedro thinks that he would roll a 5 with a fair 6-sided die more often than you'd expect by chance alone. Suppose p is the true proportion of the time Pedro will roll a 5. (Note you will need to find the probability of getting a four when rolling a fair 6-sided die like we did in chapter 3 so that you can compare p to this value.)
(a) State the null and alternative hypotheses for testing Pedro's claim. (Type the symbol "p" for the population proportion, whichever symbols you need of "<", ">", "=", "not =", ">=", or "<=" and express any values as a fraction e.g. p = 1/3) H0 = Ha =
(b) Now suppose Pedro makes n = 38 rolls, and a 5 comes up 8 times out of the 38 rolls. Determine the P-value of the test: P-value =
(c) Answer the question: Does this sample provide evidence at the 5 percent level that Pedro rolls a 5 more often than you'd expect? (Type: Yes or No)
Answers
Answer:
1.)
H0 : p = 1/6
H1 : p > 1/6
2.)
Pvalue = 0.3029
3.)
No
Step-by-step explanation:
Probability of rolling 5 in a 6-sided die by chance :
Number of 5's = 1
Number of 6 = 6
p = 1/6
The Null hypothesis :
H0 : p = 1/6
Since Pedro thinks he'd roll more than just by chance ;
Alternative hypothesis :
H1 : p > 1/6
Given that :
n = 38 ` x = 5
Phat = x / n = 5 / 38
Teat statistic : (phat - p) / √p(1-p)/n
1-p = 1 - 1/6 = 5/6
phat - p = 5/38 - 1/6 = −0.035087
√p(1-p) /n = (1/6 * 5/6) / 30 = √0.0046296 = 0.0680
Test statistic = −0.035087 / √0.0046296 =
Test statistic = −0.515673
Using the Pvalue calculator :
Pvalue at 0.05 , 1 - tail = 0.3029
Pvalue = 0.3029
Hence, at α = 0.05
Pvalue > α ;
There is no evidence to support Pedro's claim
if f(x)= 9+3x, find f(-2)
Answers
Answer:
f(-2) =3
Step-by-step explanation:
f(x) = 9+3x
Let x=-2
f(-2) = 9+3(-2)
= 9-6
= 3
f ( -2 ) = 9 + 3( - 2 )
f ( -2 ) = 9 - 6
f ( -2 ) = 3
Several years ago, 39% of parents who had children in grades K-12 were satisfied with the quality of education the students receive. A recent poll asked 1,045 parents who have children in grades K-12 if they were satisfied with the quality of education the students receive. Of the 1,045 surveyed, 471 indicated that they were satisfied. Construct a 99% confidence interval to assess whether this represents evidence that parents' attitudes toward the quality of education have changed.
Answers
Answer:
let p be the population proportion of parents who had children in grades k-12 were satisfied with the quality of education the students receive.
Step-by-step explanation:
PLEASE HELP I WILL GIVE BRAINILEST which question shows The function Y equals 2^X translated four units left and two units down a y-2=2^x-4. b y+4=2^x-2. c y-4=2^x +2. d y+2 =2^x+4
Answers
What percent of 15 is 45?
Answers
Answer:
Step-by-step explanation:
let the number be x %
according to the question the equation is
x% of 15=45
x/100*15=45
15x=45*100
x=4500/15
x=300
therefore x=300%
Allen buys 1 square yard of cloth. He cuts out a rectangular piece of cloth that measures 2/5 yd by 3/4 yd. What is the area of cloth that he cuts?
Answers
Area is length x width
Area = 2/5 x 3/4
When multiplying fraction, multiply the numerators by each other and the denominators by each other:
Area = 2/5 x 3/4 = (2 x3)/(5 x 4) = 6/20
6/20 reduces to 3/10
Area = 3/10 square yards
Fill in the blanks. Suppose the probability at a light bulb factory of a bulb being defective is 0.11. If a shipment of 133 bulbs is sent out, the number of defective bulbs in the shipment should be around __________, give or take __________. Assume each bulb is independent.
Answers
Answer:
The number of defective bulbs in the shipment should be around 15, give or take 4.
Step-by-step explanation:
For each bulb, there are only two possible outcomes. Either it is defective, or it is not. The probability of a bulb being defective is independent of any other bulb. This means that the binomial probability distribution is used to solve this question.
Binomial probability distribution
Probability of exactly x successes on n repeated trials, with p probability.
The expected value of the binomial distribution is:
[tex]E(X) = np[/tex]
The standard deviation of the binomial distribution is:
[tex]\sqrt{V(X)} = \sqrt{np(1-p)}[/tex]
Suppose the probability at a light bulb factory of a bulb being defective is 0.11
This means that [tex]p = 0.11[/tex]
Shipment of 133 bulbs:
This means that [tex]n = 133[/tex]
Mean and standard deviation:
[tex]E(X) = np = 133*0.11 = 14.63[/tex]
[tex]\sqrt{V(X)} = \sqrt{np(1-p)} = \sqrt{133*0.11*0.89} = 3.61[/tex]
Rounding to the nearest integers:
The number of defective bulbs in the shipment should be around 15, give or take 4.
Eight trials are simulated. The results are shown in the table.
Simulation
109 105 112 110
115 106 108 109
What is the estimated margin of error, using standard deviation?
Answers
Answer:
3.33
Step-by-step explanation:
I just took the test! :D
The estimated margin of error, using standard deviation is 3.33.
What is the estimated margin of error, using standard deviation?The margin of error shows an estimated percentage, or that surrounds a guess related to the real value of the population. For example, a confidence interval that has a margin of error tells you that your findings will be within the real population value of the time.
Typically, the higher the standard deviation, the more dispersed the data is. Understanding standard deviation is an essential part of calculating the margin of error for your data. If you do not have the value for your sample data proportion.
Standard deviation describes variability within a single sample, while standard error describes variability across multiple samples of a population. Standard deviation is a descriptive statistic that can be calculated from sample data, while standard error is an inferential statistic that can only be estimated.
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which of the following triangle is an obtuse triangle
Answers
Answer:
An obtuse-angled triangle is a triangle in which one of the interior angles measures more than 90° degrees. In an obtuse triangle, if one angle measures more than 90°, then the sum of the remaining two angles is less than 90°.
Here, the triangle ABC is an obtuse triangle, as ∠A measures more than 90 degrees.
brainliest for answer
Answers
4/15 !! hope it helps loll
75,15,3 find the 6th term
Answers
I need help with this, please
Answers
none of the above
Step-by-step explanation:
SSS - only two legs are defined so this doesn't apply
SAS - the two legs of one triangle are not proportional to the legs of the other triangle.
AA - only one angle is defined to be congruent to the other (the rule requires two)
Albert jumped 100 times in 97.5 seconds. Round off the time taken to the nearest second.
Answers
98 seconds
Step by step explanation
The reason being is that .5 would be millisecond and 5 will round up making the answer be 98 seconds
The required round of the time 97.5 is 98 seconds.
Given that,
Albert jumped 100 times in 97.5 seconds. To round off the time taken to the nearest second.
The rounding of values is superseding a number with an inexact value that has a more ephemeral, more uncomplicated, or more direct representation.
What is arithmetic?In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication and division,
Here,
in 97.5 seconds 0.5 in the tenth place is close to 1,
So the round off the number will be 98 seconds,
Thus, the required round of the time 97.5 is 98 seconds.
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Find the length of the arc in terms of pi A 144° 10 AB = [?]
Answers
Answer:
Arc AB = 8π
Step-by-step explanation:
Length of arc = central angle/360 × 2πr
Where,
Central angle = measure of arc AB = 144° (central angle theorem)
r = radius = 10
Length of arc AB = 144/360 × 2 × π × 10
= 8π
Of 60 randomly chosen students from a school surveyed,16 chose aquarium as their favorite fiel trip.There are 720 students in the school.predict the number of student in the school who chose aquarium
Answers
Answer:
192 students
Step-by-step explanation:
60 randomly students surveyed
16 chose aquarium as their favorite field trip.
720 students in total.
[tex]\frac{16}{60}[/tex] = [tex]\frac{?}{720}[/tex] =
720 × 16 ÷ 60 =
192 students
Could someone help me define each word please?
Answers
Answer:
.
Step-by-step explanation:
.
Answer:
Ok!
Step-by-step explanation:
Religion: the belief and worship in what is usually a god
Bones: pieces of hard whitish tissiue in a skeloton
Agriculture: the practice of farming
Artifacts: historical objects
WILL GIVE U BRAINLIEST
What is the value of x?
A. 100 degrees
B. 50 degrees
C. Not enough info
D. 60 degrees
Answers
Answer:
B. 50
Step-by-step explanation:
180-80=100
100 divided by two equal angles is 50.
Find the missing side.
Answers
Answer:
90-30=60
Its 60 because its a right angle triangle
An insurance company selected samples of clients under 18 years of age and over 18 and recorded the number of accidents they had in the previous year. The results are shown below.
Under Age of 18 Over Age of 18
n1 = 500 n2 = 600
Number of accidents = 180 Number of accidents = 150
We are interested in determining if the accident proportions differ between the two age groups.
Q1. Let P, represent the proportion under and p, the proportion over the age of 18. The null hypothesis is:_____.
a. pu - po < 0.
b. pu - po > 0.
c. pu - P ≠ 70.
d. Pu - Po = 0.
Q2. The 95% confidence interval for the difference between the two proportions is:____.
a. (150, 180).
b. (0.25, 0.36).
c. (0.055, 0.165).
d. (0.045, 0.175).
Answers
Answer:
Q1 z(s) is in the rejection region for H₀ ; we reject H₀. We can´t support the that means have no difference
Q2 CI 95 % = ( 0,056 ; 0,164 )
Step-by-step explanation:
Sample information for people under 18
n₁ = 500
x₁ = 180
p₁ = 180/ 500 p₁ = 0,36 then q₁ = 1 - p₁ q₁ = 0,64
Sample information for people over 18
n₂ = 600
x₂ = 150
p₂ = 150 / 600 p₂ = 0,25 then q₂ = 1 - p₂ q₂ = 1 - 0,25 q₂ = 0,75
Hypothesis Test
Null hypothesis H₀ p₁ = p₂
Alternative Hypothesis Hₐ p₁ ≠ p₂
The alternative hypothesis indicates that the test is a two-tail test.
We will use the approximation to normal distribution of the binomial distribution according to the sizes of both samples.
Testin at CI = 95 % significance level is α = 5 % α = 0,05 and
α/ 2 = 0,025 z (c) for that α is from z-table:
z(c) = 1,96
To calculate z(s)
z(s) = ( p₁ - p₂ ) / EED
EED = √(p₁*q₁)n₁ + (p₂*q₂)/n₂
EED = √( 0,36*0.64)/500 + (0,25*0,75)/600
EED = √0,00046 + 0,0003125
EED = 0,028
( p₁ - p₂ ) = 0,36 - 0,25 = 0,11
Then
z(s) = 0,11 / 0,028
z(s) = 3,93
Comparing z(s) and z (c) z(s) > z(c)
z(s) is in the rejection region for H₀ ; we reject H₀. We can´t support the idea of equals means
Q2 CI 95 % = ( p₁ - p₂ ) ± z(c) * EED
CI 95% = ( 0,11 ± 1,96 * 0,028 )
CI 95% = ( 0,11 ± 0,054 )
CI 95 % = ( 0,056 ; 0,164 )
A rectangle has a length of (x+6) units and a width of (x - 5) units.
What is the area of the rectangle in terms of x?
A (x^2 – 30) square units
B (x^2 +30) square units
C (x^2– x+30) square units
D (x^2+– 30) square units
Answers
Answer:
x² +x -30
Step-by-step explanation:
A = length * width = (x+6)(x-5) = x² -5x+6x-30= x²+x -30
Street G has a slope of zero and goes through (3 , -10). Write this street’s equation in slope intercept form.
Answers
Answer:
y = 0x + (-10) or y = 0x - 10
Step-by-step explanation:
y= 0x + b
-10= 0(3) + b
-10 = b
Which gives you the equation
y= 0x + (-10)
express 30kmph in M/S
Answers
Step-by-step explanation:
30×5/18
25/3
=8.33 m/s
!!!!!!!!!
Answer:
I think the answer is 8.33 (rounded to 2 decimal points)
5th grade math. correct answer will be marked brainliest
Answers
210 - 30 = 180
180 ÷ 15 = 12
12 weeks
It would take her 12 weeks to pay for the DVD player.
Assume that we want to estimate the mean IQ score for the population of statistics students. How many statistics students must be randomly selected for IQ tests if we want 95% confidence that the sample mean is within 3 IQ points of the population mean? The Standard Deviation is 15.
Answers
Answer:
97 students must be randomly selected for IQ tests.
Step-by-step explanation:
We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:
[tex]\alpha = \frac{1 - 0.95}{2} = 0.025[/tex]
Now, we have to find z in the Z-table as such z has a p-value of [tex]1 - \alpha[/tex].
That is z with a pvalue of [tex]1 - 0.025 = 0.975[/tex], so Z = 1.96.
Now, find the margin of error M as such
[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]
In which [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample.
The Standard Deviation is 15.
This means that [tex]\sigma = 15[/tex]
How many statistics students must be randomly selected for IQ tests if we want 95% confidence that the sample mean is within 3 IQ points of the population mean?
This is n for which M = 3. So
[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]
[tex]3 = 1.96\frac{15}{\sqrt{n}}[/tex]
[tex]3\sqrt{n} = 1.96*15[/tex]
Simplifying both sides by 3
[tex]\sqrt{n} = 1.96*5[/tex]
[tex](\sqrt{n})^2 = (1.96*5)^2[/tex]
[tex]n = 96.04[/tex]
Rounding up(as with a sample size of 96 the margin of error will be slightly above 3):
97 students must be randomly selected for IQ tests.
Consider the circle.
If points W and X are the endpoints of a diameter on the circle, what is the value of x?
Answers
Answer:
x = 18Step-by-step explanation:
Find the diagram attached
If W and X are the endpoints of a diameter on the circle, this means that arc WX is 180degres
Since the angle at the vertex is half the angle at the intercepted arcs.
<V = 1/2(arcWX)
4x+18 = 1/2*180
4x+18 = 90
4x = 90-18
4x = 72
x = 72/4
x = 18
Hence the value of x is 18
Help!!!!!!Solve for X. Round to the nearest tenth of a degree, if necessary.
Answers
PLEASE HELP! I've had to ask this question FOUR times now.
For a linear regression, what is the value of the following data to three decimal places? X 1 4 6 7 9 11 2016 22 14 O A. 0.949 O B.-0.949 O C. 0.901 D. 0.901
Answers
9514 1404 393
Answer:
A. 0.949
Step-by-step explanation:
Use your favorite calculator or spreadsheet to compute the correlation coefficient.
r ≈ 0.949
_____
Additional comment
The values of y generally increase as the values of x increase--with only one exception. This tells you the correlation coefficient is positive and fairly high. Of the two positive choices 0.901 and 0.949, the higher one is the better guess.
Which graph represents the equation (x – 3)2 + y2 = 16?
Answers
Answer:
It is B on edge
Step-by-step explanation:
Patel made a rectangular garden in his family's backyard. 24 ft What is the perimeter of the garden? A 336 feet B 76 feet C 48 feet D 38 f
Answers
Answer:
336+76+48+38= 498
Step-by-step explanation:
add all those sides up because it is just the perimeter
Answer:
336+76+48+38= 498
Step-by-step explanation: