Answers
Answer:
(x, y) = (22, 35)
base angle theorem; angle sum theorem
Step-by-step explanation:
Base angles theorem:
Angles opposite congruent sides are congruent:
3x -11 = 2x +11
x = 22
__
Angle sum theorem:
The sum of angles in a triangle is 180°.
(3x -11)° +(2x +11)° +2y° = 180°
5x° +2y° = 180°
2y = 180 -5(22) . . . . . divide by °, subtract 5x, substitute for x
y = 35 . . . . . . . . . divide by 2
Related Questions
A drug company is considering marketing a new local anesthetic. The effective time of the anesthetic the drug company is currently producing has a normal distribution with a mean of 7.4 minutes with a standard deviation of 1.2 minutes. The chemistry of the new anesthetic is such that the effective time should be normally distributed with the same standard deviation, but the mean effective time may be lower. If it is lower, the drug company will market the new anesthetic; otherwise, they will continue to produce the older one. A sample size of 36 results in a sample mean of 7.1. A hypothesis test will be done to help make the decision
Required:
a. For a test with a level of significance of 0.10, compute the critical value; set up the appropriate hypotheses and the calculate the p-value of the test
b. Will the null hypothesis will be rejected with a level of significance of 0.10? Explain why or why not?
Answers
Using the z-distribution, we have that:
a)
The hypothesis test is:
[tex]H_0: \mu = 7.4[/tex][tex]H_1: \mu < 7.4[/tex]The p-value is of 0.0668.
The critical value is [tex]z^{\ast} = -1.28[/tex]
b) Since the test statistic is less than the critical value for the left-tailed test, there is enough evidence to conclude that the null hypothesis will be rejected.
Item a:
At the null hypothesis, it is tested if the mean is of 7.4 minutes, that is:
[tex]H_0: \mu = 7.4[/tex]
At the alternative hypothesis, it is tested if the mean is lower than 7.4 minutes, that is:
[tex]H_1: \mu < 7.4[/tex]
We have the standard deviation for the population, hence, the z-distribution is used.
The test statistic is given by:
[tex]z = \frac{\overline{x} - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
The parameters are:
[tex]\overline{x}[/tex] is the sample mean. [tex]\mu[/tex] is the value tested at the null hypothesis. [tex]\sigma[/tex] is the standard deviation of the sample. n is the sample size.For this problem, the values of the parameters are: [tex]\overline{x} = 7.1, \mu = 7.4, \sigma = 1.2, n = 36[/tex].
Hence, the value of the test statistic is:
[tex]z = \frac{\overline{x} - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
[tex]z = \frac{7.1 - 7.4}{\frac{1.2}{\sqrt{36}}}[/tex]
[tex]z = -1.5[/tex]
Using a z-distribution calculator, the p-value is of 0.0668.
Also using a calculator, considering a left-tailed test, as we are testing if the mean is less than a value, the critical value with a significance level of 0.1 is of [tex]z^{\ast} = -1.28[/tex].
Item b:
Since the test statistic is less than the critical value for the left-tailed test, there is enough evidence to conclude that the null hypothesis will be rejected.
You can learn more about the use of the z-distribution to test an hypothesis at https://brainly.com/question/16313918
x=4y,2x+y=18 solve by substitution show all work
Answers
A certain factory produces and sells C computers per month. It costs x dollars to produce a single computer, and the factory sells each computer for y dollars. Their monthly net profit is 10,000 dollars.
Write an equation that relates C, x and y.
Answers
Answer:
Cy-Cx=10,000 this is the best answer ever
The diagram shows a square pizza box with side lengths of 12 inches. In the box is a circular pizza with a radius of 5 inches. What is the difference between the area of box and the pizza? Use π = 3.14 and round your answer to the nearest hundredth.
Answers
Answer:
Step-by-step explanation:
Box
Area of the box
Area = s^2
s = 12 inches
Area = 12^2
Area = 144
Pizza
Area = pi r^2
Area = 3.14 * 5^2
Area = 25 * 3.14
Area = 78.5
Difference = 144 - 78.5
Difference = 65.5
What is the measure of Zx?
Angles are not necessarily drawn to scale.
Answers
Answer:
This question is straightforward if you find different triangles in the figure itself.
Property of a triangle: All internal angles of a triangle must add up to 180°
Take a look at Triangle DBH.
Method A
Angle BHD = 180°-33°-46° (sum of angles in a triangle)
= 101°
Property of angles on a straight line: All angles on a straight line must add up to 180°
Angle x = 180°-101° (supplementary angles)
= 79°
Method B
Take a look at Triangle DBH.
Property of exterior angle (in this case, angle x): An exterior angle of a triangle is equal to the sum of its two opposite non-adjacent interior angles.
Angle x = 33°+46°
= 79°
What is the simplified form of
3+2−14−24
−4
when x ≠ 4?
Answers
-33
Logan and his sister, Tessa, are baking oatmeal raisin cookies. Logan uses 1.25-ounce scoops
of dough to form his cookies, and Tessa uses 1 12 -ounce scoops for hers.
Who is making bigger cookies?
Answers
Answer:
Logan is making bigger cookies
Step-by-step explanation:
1.25 > 1.12
Will mark Brainliest
In questions 6 – 9, state the solutions for the quadratic equation depicted in the graph.
Answers
Where the quadratic crosses the x axis are the solutions:
6) x = –5, x = –6
7) x = 0, x = 1
8) x = –6, x = 1
9) x = –4, x = –3
Help meeeeeeeeeeeeeeee
Answers
Answer:
D.
Step-by-step explanation:
Complementary angles are two angles whose measures add to 90°.
A.
m<CFD = 150° - 100° = 50°
m<EFD = 180° - 150° = 30°
Sum = 80°
No
B.
m<AFB = 40°
m<DFE = m<EFD = 30°
Sum = 70°
No
C.
m<AFC = 100°
Sum > 100°
No
D.
m<BFC = 100° - 40° = 60°
m<DFE = 30°
Sum = 90°
Yes
Answer: D.
How many beads would the jeweler need to make 10 bracelets?
Answers
Answer:
50 ?
Step-by-step explanation:
You didn't give any detail about how many beads it takes to make one bracelet
What is the correct classification of the system of equations below?
14x + 2y= 10
y+ 7x=-5
A.
parallel
B.
coincident
C.
intersecting
Answers
Answer:
parallel
B.
coincident
C.
intersecting
Answer:
I think it's parallel, because they have the same gradient. parallel lines always have the same gradient
Can you plsssssssssssssssssssssssssssss help me with this.
Answers
Answer: (-1, 7) should be the answer
Step-by-step explanation:
why did you copy my profile picture hello......
56:32=k:28 what is k?
Answers
Therefore, k = 49.
Hoped this helped.
[tex]-BrainiacUser1357-[/tex]
The property of 12x2-7=6-2x2+2
Answers
14x^2-15=0
a=14 , b =0 , c=-15
0^2-4x14x(-15) =
840
SOMEONE PLS GIVE ME THE ANSWER AND NO FREAKING LINKS.
Calculate the distance between the points M=(-1,-2) and C=(-9, 2) in the coordinate plane.
Round your answer to the nearest hundredth.
Answers
Answer:
8.9443
Step-by-step explanation:
d = √((x2-x1)2 + (y2-y1)2)
Step by step procedure:
Find the difference between coordinates:
(x2-x1) = (-9 - -1) = -8
(y2-y1) = (2 - -2) = 4
Square the results and sum them up:
(-8)2 + (4)2 = 64 + 16 = 80
Now Find the square root and that's your result:
Exact solution: √80 = 4√5
Approximate solution: 8.9443
1. Which of the following is not an undefined term in
Euclidean geometry?
a. plane
b. point
c. bisector
d. line
Answers
Answer:
c. bisector
Explanation:
"There are, however, three words in geometry that are not formally defined. These words are point, line and plane, and are referred to as the 'three undefined terms of geometry'"
If point, line, and plane are all undefined terms in Euclidean geometry, then that only leaves one answer left, c. bisector.
Find x- and y-intercepts of 4x + 2y = 10
Answers
Answer:
Below is the graph
Hope This Helps!!!
Answer:
( 5/2 , 0 ) x- intercept , ( 0 , 5 ) y- intercept
Step-by-step explanation:
To find x- intercept , set y = 0
4x + 2(0) = 10
x = 5/2
To find y- intercept , set x = 0
4(0) + 2y = 10
y = 5
What is the number of solutions to the system of
equations?
Infinitely Many
Solutions
No Solution
One Solution
Two Solutions
Answers
Answer:
infinitely many solutions
Step-by-step explanation:
The lines over lap
A package weighs P pounds P being a whole number. to ship this package by express costs one dollar and sixty five cents for the first five pounds and twelve cents for each additional pound. the total shipping cost is three dollars and forty five cents. how many pounds of the package weigh?
I give brainliest to first answer
Answers
1.65 = 5pounds
0.12 = extra pound
3.45 - 1.65 = 1.80 : 0.12 = 15pounds
Adding up 15pounds and the first 5 pounds equal 20 pounds
You roll a six sided die. You are given $8 if a 6 comes up, $2 if a 3, 4, 5 comes up, and
nothing otherwise. Find the expected value of the entries.
Expected Value Table for rolling a six-sided die
Answers
We want to get the expected value for the given experiment. We will see that the expected value is $2.33
For an experiment with outcomes {x₁, ..., xₙ} each one with probability {p₁, ..., pₙ} the expected value is defined as:
EV = x₁*p₁ + ... + xₙ*pₙ
Here we have 3 outcomes:
x₁ = winning $8x₂ = winning $2x₃ = winning $0.For x₁ we need to roll a 6, this is a probability of 1 out of 6, then:
p₁ = 1/6
For x₂ we need to roll a 3, 4, or 5 (3 out of 6), then:
p₂ = 3/6
For x₃ we need to roll a 1 or a 2 (2 out of 6) so the probability is:
p₃ = 2/6
Then the expected value is:
EV = $8*(1/6) + $2*(3/6) + $0*(2/6) = $2.33
If you want to learn more about expected values, you can read:
https://brainly.com/question/15858152
Easy math problem
……………………………………
Answers
Answer:
if its easy then answer it .-.
Step-by-step explanation:
Answer:
u =-3
Step-by-step explanation:
Please help! I highly appreciate it! :D
Answers
[tex]\huge \bf༆ Answer ༄[/tex]
Total surface Area of the cuboid is ~
[tex] \sf2(lb + bh + lh)[/tex][tex] \sf2[(12 \times 4) + (4 \times 5) + (12 \times 5)][/tex][tex] \sf2[48 + 20 + 60][/tex][tex] \sf2(128)[/tex][tex] \sf256 \: \: ft {}^{2} [/tex]Surface area = 256 ft^2
Surface area (SA) = Total area on the Surface only
SA of cuboid = Area of rectangle (2 sides) + Area of square (2 sides) + Area of other rectangle (2 sides)
SA = 2(12x5) + 2(4x5) + 2(12x4)
SA = 120 + 40 + 96
SA = 256 ft^2
please answer
when a whole number is rounded to the nearest ten the answer is 340
a write down the smallest possible value for the number
b write down the largest possible value for the number
Answers
Answer:
a) 335
b) 344
Step-by-step explanation:
in 3x + 2/3y - 15 < 0, the point (x,9) is a solution for the inequality shown. what is the possible value for x?
a: 2
b: 3
c: 4
d: 5
Answers
answer: 2
explanation:
if you plug in all of the numbers available for the equation and using 9 as a substitute for y, you'll see that it will either = 0 or be greater than 0
What is the hardest metal
if you get it right I'll give you brainliest
Answers
Answer:
is tungtset i tink not sure bout
Step-by-step explanation:
mark me brainlest plz
Please I really really do need help like now please and thank you
Answers
6+8+12+10+6+4+10=56
How many twelfths make one whole
How many twelfths make one whole
Answers
Answer:
12
Step-by-step explanation:
1/12x1/x
1x=12x1
x=12
Answer:
12 twelfths make a whole.
Step-by-step explanation:
when the numerator and the denominator of a fraction are the same, they always equal one. 12/12 would simply to one, just like 3/3 or 200/200.
I hope this helps
There are 6 triangles and 4 circles. What is the
simplest ratio of circles to total shapes?
Answers
Answer:
4/10
Step-by-step explanation:
4:10
as there are 4 circles, and 10 total (6 + 4)
simplify by diving by 2.
therefore the answer is,
2:5
(I guess, this could be simplified further, but it wouldn't be a whole number).
A system of equations is shown: 2x = â’y 6 â’4x 3y = 8 What is the solution to this system of equations? (â’1, â’4) (1, 4) (4, 1) (â’4, â’1).
Answers
The correct option is B. (1,4).
Given equations,
[tex]2x=-y+6....(1)\\-4x+3y=8....(2)[/tex]
We have to find the solution of the given system of equations.
Equation 2 can be written as,
[tex]-2\times(2x)+3y=8\\[/tex]
Now by substitution method, putting the value of [tex]2x[/tex] from Equation (1) in above equation, we get
[tex]-2\times(-y+6)+3y=8\\2y-12+3y=8\\5y-12=8\\5y=20\\y=4[/tex]
Now putting the value of y in equation 1 we get,
[tex]2x=-4+6\\2x=2\\x=1[/tex]
Hence the solution of the given system of equation will be (1,4).
For more details follow the link:
https://brainly.com/question/12824145
if the two coffee shops combine their supplies, how many stirrers will they have for tousday?
Answers
Answer:
50?
Step-by-step explanation:
it's 50 20+25i don't even know if this is the correct answee