Answer:
yes, the triangle are congruent by SAS
A class of 22 students has taken an exam, and the mean of their scores is 76.5. One student takes the
exam late, and scores 92. After including the new score, what is the mean score for all 23 exams? Round
to the nearest hundredth.
1. At her new job Mary earns $100 more than twice the salary she earned as a college intern.
If she now earns $2100, how much did she earn as an intern?
Answer:
$1000
Step-by-step explanation:
Inverse operation
2100-100=2000
2000/2=1000
Sorry if its wrong but hope this helpssss
A triangle has sides with lengths of 2 centimeters, 4 centimeters, and 5 centimeters. Is it a right triangle?
PLEASE HELP
Answer:
NoStep-by-step explanation:
Use Pythagorean to verify:
2² + 4² = 5² 4 + 16 = 2520 = 25As we see the equation is not true, so the answer is no
Let's use Pythagorean theorem to verify
[tex]\\ \sf\longmapsto H^2=P^2+B^2[/tex]
[tex]\\ \sf\longmapsto 5^2=4^2+2^2[/tex]
[tex]\\ \sf\longmapsto 25=16+4[/tex]
[tex]\\ \sf\longmapsto 25\neq 20[/tex]
Not a right triangle
The hourly median power (in decibels) of received radio signals transmitted between two cities
follows a lognormal distribution with parameter values u = 3.5 and o2 = 1.22.
(5 points) What is the 90th percentile of this distribution?
(5 points) What is the probability that received power for one of these radio signals is
less than 150 decibels?
(5 point) Consider a random sample of 10 radio signals. What is the probability that for
6 of these signals, the received power is less than 150 decibels?
Using the lognormal and the binomial distributions, it is found that:
The 90th percentile of this distribution is of 136 dB.There is a 0.9147 = 91.47% probability that received power for one of these radio signals is less than 150 decibels.There is a 0.0065 = 0.65% probability that for 6 of these signals, the received power is less than 150 decibels.In a lognormal distribution with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{\ln{X} - \mu}{\sigma}[/tex]
It 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, which is the percentile of X.In this problem:
The mean is of [tex]\mu = 3.5[/tex].The standard deviation is of [tex]\sigma = \sqrt{1.22}[/tex]Question 1:
The 90th percentile is X when Z has a p-value of 0.9, hence X when Z = 1.28.
[tex]Z = \frac{\ln{X} - \mu}{\sigma}[/tex]
[tex]1.28 = \frac{\ln{X} - 3.5}{\sqrt{1.22}}[/tex]
[tex]\ln{X} - 3.5 = 1.28\sqrt{1.22}[/tex]
[tex]\ln{X} = 1.28\sqrt{1.22} + 3.5[/tex]
[tex]e^{\ln{X}} = e^{1.28\sqrt{1.22} + 3.5}[/tex]
[tex]X = 136[/tex]
The 90th percentile of this distribution is of 136 dB.
Question 2:
The probability is the p-value of Z when X = 150, hence:
[tex]Z = \frac{\ln{X} - \mu}{\sigma}[/tex]
[tex]Z = \frac{\ln{150} - 3.5}{\sqrt{1.22}}[/tex]
[tex]Z = 1.37[/tex]
[tex]Z = 1.37[/tex] has a p-value of 0.9147.
There is a 0.9147 = 91.47% probability that received power for one of these radio signals is less than 150 decibels.
Question 3:
10 signals, hence, the binomial distribution is used.
Binomial probability distribution
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
The parameters are:
x is the number of successes. n is the number of trials. p is the probability of a success on a single trial.For this problem, we have that [tex]p = 0.9147, n = 10[/tex], and we want to find P(X = 6), then:
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 6) = C_{10,6}.(0.9147)^{6}.(0.0853)^{4} = 0.0065[/tex]
There is a 0.0065 = 0.65% probability that for 6 of these signals, the received power is less than 150 decibels.
You can learn more about the binomial distribution at https://brainly.com/question/24863377
geomtry plzzzz help 15 points
Answer:
True.
Step-by-step explanation:
The sides of a triangle rule asserts that the sum of the lengths of any two sides of a triangle has to be greater than the length of the third side. this makes it possible for the triangle to be formed.
(b) Express the number 17
(i) in base 2
(ii) in base 5
Answer:
Step-by-step explanation:
IF 17 is in base 10
THEN
17₁₀ = 1 x 10¹ + 7 x 10⁰
10001₂ = 1 x 2⁴ + 0 x 2³ + 0 x 2² + 0 x 2¹ + 1 x 2⁰
32₅ = 3 x 5¹ + 2 x 5⁰
Who is the general information of accounting
Answer:
General accounting essentially refers to general ledger collection and accounting activities that include account charges in credits and debits and documenting financial statements for a quarter, calendar or fiscal year.
PLEASE HELP, I'LL GIVE BRAINLIEST!!
Answer:
3
Step-by-step explanation:
I think the answer is 3 because there are 3 spaces between each dot but I am also not the smartest person so if that's right sorry!
Hey everybody! Not a super hard question here! Anybody think they can help me out?
Identify the correct domain and range.
Answer
B, the second choice
Step-by-step explanation:
the domain is defined as all possible x values of a function and the range is defined as all possible y values, so the domain would be all real numbers since x can be any value, and the range cannot be more than 3, since y=3 is the vertex of the parabola.
What is the relationship between the 9 in the hundreds place and the 9 in the tens place in 2,743,995?
Hundred and tenths are the relationship of 9 in the number
Answer:
The 9 in the hundreds column is ten times greater than the 9 in the tens column.
Step-by-step explanation:
I have 7 friends. I owe 3 of my friends a dollar and 4 of my friends owe me a dollar. I can tell the difference between my friends. How many ways can I settle all the debts given that I start with 0 dollars
Answer:
2
Step-by-step explanation:
either the four friends give you the money first then you give it to the three friends That is one Or youcan ask your parental figure to own you three dallors then you will have more money at the End.
Rest of the options
Yep, it's C. The answer is C
Is y=1/2x+7 a function
HELP PLS!! no links !!!
Answer:
the correct answer is b
Step-by-step explanation:
Like and give 5 star rating
SOMEONE PLEASE HELP MEEEEE
Answer:
Area = 23.12 cm²
perimeter = 24.28 cm
Step-by-step explanation:
top shaded region is circular arc with 90° sector angle
so perimeter of arc is 90 / 360 * 2πr
here radius of arc is half the length of square side
r = 6.8/2 = 3.4
top area shaded perimeter = 90/360 * 2 * 3.14 * 3.4
= 1/4 * 2 * 3.14 * 3.4
= 5.338
bottom region perimeter is also same
total perimeter of shaded region is = side + side + two arcs
= 6.8 + 6.8 + 2 * 5.338
= 13.6 + 10.676
= 24.276
= 24.28
Area of top shaded region is 90/360 * πr²
A = 1/4 * 3.14 * 3.4²
= 9.0746
bottom shaded region area is half of area of square - area of bottom arc
= 6.8 * 3.4 - 9.0746
= 23.12 - 9.0746
= 14.0454
so total area of shaded region is 9.0746 + 14.0454
= 23.12
or you can just calculate area as half of area of total square = 6.8² / 2
= 23.12
A researcher estimates that a fossil is 3200 years old. Using carbon-14 dating a procedure used to determine the age of an object the researcher discovers that the fossil is 3600. Find the percent error
Answer:
11.1
Step-by-step explanation:
The percentage error for the given data will be 12.5%
What is the percentage?According to its definition, a percentage is any number relative to 100. It is shown with the sign %. "Out of 100" is what the percentage means. Consider dividing any quantity or item into 100 identical bits.
The percentage error will be calculated as:-
percent error = (|experimental value - theoretical value| / theoretical value) x 100
In this case, the experimental value is 3600 years (from carbon-14 dating) and the theoretical value is 3200 years (from the researcher's estimate). Plugging these values into the formula:
percent error = (|3600- 3200| / 3200) x 100 = (400/ 3200) x 100 = 12.5%
Learn more about percentage error on:
brainly.com/question/5493941
#SPJ2
A vendor sells burgers and cookies. A customer buys 2 burgersand 2 cookies for $7.50. Another customer buys 4 burgers and 3 cookies for $13.75. Find the cost of each item.
Answer:
The burgers cost $2.50 and the cookies cost $1.25.
Step-by-step explanation:
Let b represent burgers and c represent cookies.
2b + 2c = 7.50
4b + 3c = 13.75
Step 1: Use one of the two equations and isolate one of the variables.
2b + 2c = 7.50
- 2c -2c
[tex]\frac{2}{2}[/tex]b = [tex]\frac{7.50}{2}[/tex] - [tex]\frac{2}{2}[/tex]c
b = 3.75 - c
Step 2: Plug what you get for b into the second equation.
4(3.75 - c) + 3c = 13.75
15 - 4c + 3c = 13.75
15 - 1c = 13.75
Step 3: Isolate the variable and solve for c.
15 - 1c = 13.75
-15 -15
[tex]-\frac{1}{1}[/tex]c = [tex]\frac{-1.25}{-1}[/tex]
c = 1.25 ← price for cookies
Step 4: Plug in what you have for c into one of the previous equations and solve for b.
2b + 2(1.25) = 7.50
2b + 2.50 = 7.50
- 2.50 -2.50
[tex]\frac{2}{2}[/tex]b = [tex]\frac{5}{2}[/tex]
b = 2.50 ← price for burgers
Now you know the cost of each item:
The burgers cost $2.50 and the cookies cost $1.25.
Please take a look at the picture for the question
Answer:
A
Step-by-step explanation:
Tìm hàm đơn thức tương đương
Answer:
what? elaborate please and thank you
henry is designing a tablecloth for his dining room table. He wants to buy fabric in his favorite color to make the tablecloth. use the dimensions below to determine how much fabric he need to buy. 12 feet 7 feet
(PHOTO) Please help need this done by tomorrow thank you.
Solve for x. k 2x + 4 4x - 88 x = [?]
Answer:
2x + 4 = 4x - 88
x = 46
Answer:
x = 46
Step-by-step explanation:
These angles are known as corresponding angles. This means they are equal to one another.
[tex]4x-88=2x+4\\2x-88=4\\2x=92\\x=46[/tex]
m 130 degrees n 130 degrees what is t
Answer:
50 degrees
Step-by-step explanation:
that line is a 180 degree and 180-130=50
What is 8/m - 11/3m=?
Answer:
8/3m + 8Step-by-step explanation:
What is 8/m - 11/3m=?
8/m - 113m =
(3 - 11/3)m + 8 =
8/3m + 8
Answer:
13/3m
Step-by-step explanation:
Albert is 5 years 6 months. How old is Albert in months
Answer:
5x12=60,+6=66
Step-by-step explanation:
Answer:
66 months
Step-by-step explanation:
12months x 5= 60
60 + 6= 66
6 A local theater charges $26 for each adult ticket and
$17 for each student ticket. For one show, the theater
took in $988 from adults and $731 from students. How
many people attended the performance?
Answer:
81 people
Step-by-step explanation:
a 25 -ft ladder rests against the side of a house. the distance between the top of the lader and the ground is 17 ft more than the distance between the base od the ladder and the bottom of the house. find both distances.
Answer:
Step-by-step explanation:
x² + (x + 17)² = 25²
x² + x² + 34x + 289 = 625
2x² + 34x - 336 = 0
x² + 17x - 168 = 0
x = (-17 ±√(17² - 4(1)(-168))) / (2(1))
x = 7 or - 24 the negative distance makes no sense, but if we plug our good answer of 7 ft in for the base length, the height comes out to be + 24 ft
base = 7 ft
height = 24 ft
A car traveled 81.6 mi in 1.6 hours.
Rate is found by dividing distance by time.
What is the rate in miles per hour?
Answer:
51
Step-by-step explanation:
81.6/1.6
Hope this helps. :)
quick mafs ill mark brainliest
Answer:
LJ< JK<LK
Step-by-step explanation:
for a theorem, the order of the side of the triangle is the same as the order of the opposite angles since for the angles it's K<L<J, you replace each with the opposite side (quick trick, it's the one not containing the letter!)
if 4/3divided by 1/6 then the value of p is between which of the following pairs of numbers
3 and 4
5 and 6
6 and 7
7 and 9
Answer:
7 and 9
Step-by-step explanation:
4/3÷1/6 = 4/3 × 6/1
= 8
So the value of p falls between the range of 7 and 9
What's the answer to this question?
[tex]3\dfrac 23 -1 \dfrac 45 = 3 \dfrac{10}{15} - 1 \dfrac{12}{15}[/tex]