Answers
9514 1404 393
Answer:
58°
Step-by-step explanation:
The measure of arc HI is the supplement of the angle shown:
arc HI = 180° -122° = 58°
Related Questions
The weights of newborn baby boys born at a local hospital are believed to have a normal distribution with a mean weight of 35113511 grams and a variance of 253,009253,009. If a newborn baby boy born at the local hospital is randomly selected, find the probability that the weight will be less than 46174617 grams. Round your answer to four decimal places.
Answers
Answer:
The answer is "0.1397".
Step-by-step explanation:
[tex]\mu=3511\\\\[/tex]
variance [tex]\ S^2= 253,009\\\\[/tex]
standard deviation [tex]\sigma =\sqrt{253,009}=503\\\\[/tex]
Finding the probability in which the weight will be less than [tex]4617 \ grams\\\\[/tex]
[tex]P(X<4617)=p[z<\frac{4617-3511}{503}]\\\\[/tex]
[tex]=p[z<\frac{1106}{503}]\\\\=p[z< 2.198]\\\\= .013975\approx 0.1397[/tex]
Dave's favorite recipe (spaghetti pie) calls for 20 ounces of ground sausage. Since it's awesome, everybody wants some, so he decided to make five pies and pass them out to the select few in his inner circle. The sausage comes in one-pound tubes. How many tubes did Dave need, and how many grams of delicious sausage were left over for his omelet the next morning
Answers
Answer:
hi
Step-by-step explanation:
Write a word description of the set.
{−9, −8, −7, −6, −5, −4, −3, −2, −1}
the set of which one whole numbers,natural numbers, negative integers or integers
greater than__________________.
Answers
Answer: negative integers greater than -10
This is because stuff on the number line to the right is larger than stuff on the left. We can say 2 < 7 since 7 is to the right of 2.
Also, -7 < -2 for similar reasoning.
Saying integers greater than -10 excludes this endpoint. We stop once we reach -1 because 0 and anything larger aren't negative integers.
Find cos(2x) from the given information. tan(x)= 9/8, x in quadrant I
Answers
Answer:
cos2x=-17/145
Step-by-step explanation:
Recall cos2x=cos^2x-sin^2x
Or cos2x=cos^2x-(1-cos^2x)*
Or cos2x=2cos^2x-1**
*By a Pythagorean Identity
**Combined like terms
I'm going to use third identity from above because I only have to find cosx or cos^2x to get requested answer for cos2x.
Recall Pythagorean identity 1+tan^2x=sec^2x.
Plug in our tangent valuem...
1+(9/8)^2=sec^2x
1+81/64=sec^2x
145/64=sec^2x
Cosine and secant are reciprocals of each other.
64/145=cos^2x
Now we are ready to plug in and get final answer:
cos2x=2cos^2x-1
cos2x=2(64/145)-1
cos2x=128/145-1
cos2x=-17/145
Let u = (3, 4) and suppose v = (a, b) is a unit vector orthogonal to u. Then | b| equals:
Answers
Answer:
|b| = 3/5 = 0.6
Step-by-step explanation:
Two vectors
W = (w₁, w₂)
V = (v₁, v₂)
Are orthogonal if their dot product is equal to zero, this is:
W.V = 0 = w₁*v₁ + w₂*v₂
Here we know that:
u = (3, 4) and v = (a, b) are orthogonal.
And v is an unit vector, which means that:
II v II = 1 = √( a^2 + b^2)
or simply:
1 = a^2 + b^2
And because these vectors are orthogonal, we also have that:
3*a + 4*b = 0
Then we have two equations:
1 = a^2 + b^2
3*a + 4*b = 0
We want to find the value of |b|
For that, we can start by isolating a in the second equation, so we get:
3*a = -4*b
a = (-4/3)*b
Now we can replace that in the first equation to get:
1 = ((-4/3)*b)^2 + b^2
1 = (16/9)*b^2 + b^2
1 = (25/9)*b^2
1*(9/25) = b^2
(9/25) = b^2
Then we will have that:
|b| = √b^2 = √(9/25) = 3/5
|b| = 3/5 = 0.6
What is the area of xyz pleae help?
Answers
Step-by-step explanation:
here's the answer to your question
Answer:
A = 14 in²
Step-by-step explanation:
The area (A) of the triangle is calculated as
A = [tex]\frac{1}{2}[/tex] bh ( b is the base and h the perpendicular height )
Here b = 7 and h = 4 , then
A = [tex]\frac{1}{2}[/tex] × 7 × 4 = [tex]\frac{1}{2}[/tex] × 28 = 14 in²
fine x and y alpha ln trigonometry ln triangles
Answers
Step-by-step explanation:
it is easy to get a answer go to web
Which results only in a horizontal compression of y= 1/х by a factor of 6?
Answers
Answer:
I'm assuming you mean a compression of factor 6
In that case, it will be h = 1/6x
Find the probability of obtaining exactly one tail when flipping 3 coins. Express your answer as a fraction in lowest terms or a decimal rounded to the nearest millionth. Please help me figure this out
Answers
Answer:
3/8
or
.375
Step-by-step explanation:
This is a binomial distribution
[tex]{3\choose1}*.5*(1-.5)^2=.375[/tex] or 3/8
x P(x) 0 0.25 1 0.15 2 0.05 3 0.55 Find the mean of this probability distribution. Round your answer to one decimal place.
Answers
Given:
The probability distribution table:
x : 0 1 2 3
p(x) : 0.25 0.15 0.05 0.55
To find:
The mean of this probability distribution.
Solution:
The formula for mean of a probability distribution is:
[tex]Mean=\sum x\cdot p(x)[/tex]
Using this formula, we get
[tex]Mean=0\cdot 0.25+1\cdot 0.15+2\cdot 0.05+3\cdot 0.55[/tex]
[tex]Mean=0+0.15+0.10+1.65[/tex]
[tex]Mean=1.9[/tex]
Therefore, the mean of this probability distribution is 1.9.
if the selling price of an article is x and the value added tax amount is y. what is the rate of value added tax? write it.
Answers
Answer:
value added tax rate = Y/X
Step-by-step explanation:
Sales price x value added tax rate = value added tax
X x value added tax rate = Y
value added tax rate = Y/X
The credit department of Lion's Department Store in Anaheim, California, reported that 30% of their sales are cash, 30% are paid with a credit card, and 40% with a debit card. Twenty percent of the cash purchases, 90% of the credit card purchases, and 60% of the debit card purchases are for more than $50. Ms. Tina Stevens just purchased a new dress that cost $120. What is the probability that she paid cash?
Answers
Answer:
Hence the probability that she paid cash is 0.105
Step-by-step explanation:
P(cash) = 0.3
P(credit card ) = 0.3
P(debit card ) = 0.4
P ( more than $50 | cash ) = 0.2
P (more than $50 | credit card ) =0.9
P (more than $ 50 |debit card ) = 0.6
P ( more than $50) = P ( more than $50 | cash )* P (cash) + P (more than $50 credit card ) * P(credit card ) + P (more than $ 50 |debit card )* P(debit card )
= 0.2 * 0.3 + 0.9 * 0.3 + 0.6* 0.4
= 0.57
P ( more than $50) = P ( more than $50 | cash )* P (cash) / P ( more than $50)
= 0.2* 0.3 / 0.57
= 0.105
Which inequality best represent that ice cream at -3°C is cooler than ice cream at 1°C?
Answers
Its Option 2
-3°C < 1°C
Explanation:
The best possible interpretation will be the above.
To show -3 cooler we will use this sign <
Must click thanks and mark brainliest
if a circle’s circumference is decreased by12% what percent is the diameter decreased by?
A) 2√3 %
b) 6 %
C) 12 %
D)24%
Answers
Answer:
A) 12%
Step-by-step explanation:
Lets assume a random diameter to work with. I will use a diameter of 10.
Circumference = πD
Circumference = π * 10
Circumference = 31.415
Decreasing the circumference by 12%
31.415 * 0.12 = 3.769
31.415 - 3.769 = 27.64
To find out what percent the diameter is reduced by we will find out the new diameter with the new circumference
Circumference = πD
27.64 = π * D
D = 27.64 / π
New Diameter = 8.8
OldD - NewD
10 - 8.8 = 1.2
1.2/10 = 0.12
The diameter decreased by 12%
The diameter of the circle decreased by 12% due to decrease of circles circumference by 12%.
What is a circle?A circle is a geometrical figure which becomes by plotting a point around a fixed point by keeping a constant distance.
The diameter is the longest line that can be drawn inside a circle.
Area of circle = πr² and the perimeter of circle = 2πr where r is the radius of the circle.
Let's say the diameter of the circle is D
Circumference of circle = πD
12% of Circumference = (12/100) × πD
⇒ 0.12πD
So new circumference will be
πD - 0.12πD = 0.88πD
Now let say new diameter after decreasing circumference is d
Circumference of new circle will be
πd = 0.88πD
d = 0.88D
% decrement = (change/original) × 100
diameter decrease = (D - 0.88D)/D × 100
⇒ 12% hence it will be correct answer.
To learn more about the circle,
https://brainly.com/question/266951
#SPJ2
he radioactive element carbon-14 has a half-life of 5750 years. A scientist determined that the bones from a mastodon had lost 77.8 % of their carbon-14. How old were the bones at the time they were discovered?
Answers
Answer:
The bones were 12,485 years old at the time they were discovered.
Step-by-step explanation:
Amount of the element:
The amount of the element after t years is given by the following equation, considering the decay rate proportional to the amount present:
[tex]A(t) = A(0)e^{-kt}[/tex]
In which A(0) is the initial amount and k is the decay rate, as a decimal.
The radioactive element carbon-14 has a half-life of 5750 years.
This means that [tex]A(5750) = 0.5A(0)[/tex], and we use this to find k. So
[tex]A(t) = A(0)e^{-kt}[/tex]
[tex]0.5A(0) = A(0)e^{-5750k}[/tex]
[tex]e^{-5750k} = 0.5[/tex]
[tex]\ln{e^{-5750k}} = \ln{0.5}[/tex]
[tex]-5750k = \ln{0.5}[/tex]
[tex]k = -\frac{\ln{0.5}}{5750}[/tex]
[tex]k = 0.00012054733[/tex]
So
[tex]A(t) = A(0)e^{-0.00012054733t}[/tex]
A scientist determined that the bones from a mastodon had lost 77.8 % of their carbon-14. How old were the bones at the time they were discovered?
Had 100 - 77.8 = 22.2% remaining, so this is t for which:
[tex]A(t) = 0.222A(0)[/tex]
Then
[tex]0.222A(0) = A(0)e^{-0.00012054733t}[/tex]
[tex]e^{-0.00012054733t} = 0.222[/tex]
[tex]\ln{e^{-0.00012054733t}} = \ln{0.222}[/tex]
[tex]-0.00012054733t = \ln{0.222}[/tex]
[tex]t = -\frac{\ln{0.222}}{0.00012054733}[/tex]
[tex]t = 12485[/tex]
The bones were 12,485 years old at the time they were discovered.
You think that $39,500 is a good salary and are interested in a job with Fast Pax. What other information might you want to know about Fast Pax salaries, and why?
Answers
How much money you lose if you do not come for a day
What is the answer for -7 x 7 please say the explanation too.
Answers
-7 x 7 = -49
We can first figure out 7 x 7, which will be 49. Once we have that, we can look at our negatives. If we have an odd number of negative signs, the answer will be negative. If we have an even number of negative signs, the answer will be positive. In this case, we only have 1 negative sign, and 1 is odd, therefore our answer will be odd.
ANSWER: -49
Hope this helps!
Answer:
-49
Step-by-step explanation:
i cant find a way to explain but you can count or use a table
A local drive bought 352 books that will be divided equally among 8 schools. How many books will each school get? Help please
Answers
Express the confidence interval in the form of .
Answers
Answer:
0.075 - 0.022 < p < 0.075 + 0.022
Do not evaluate each of the math expressions above.
===========================================================
Explanation:
The given confidence interval is in the form (L, U)
L = lower bound = 0.053U = upper bound = 0.097Find the midpoint of L and U to get
(L+U)/2 = (0.053+0.097)/2 = 0.075
This is the value of [tex]\hat{p}[/tex] which is the symbol p-hat or phat (both pronounced the same). It's the sample proportion.
To get the margin of error E, we could do either of the following
E = (U-L)/2 = (0.097-0.053)/2 = 0.022E = U - phat = 0.097 - 0.075 = 0.022E = phat - L = 0.075 - 0.053 = 0.022This value of E represents half the width of the confidence interval. The full width being U-L.
Please help me with this math homework thanks :)
Answers
Place a point at (0,-5) because that is the y-intercept (the -5 on the vertical line)
Since the slope is negative two which can be re-written as -2/1 (rise/run) you go down two and to the right once or up two and to the left once, it doesn't matter which. Another point can be placed at (1,-7) or (-3,-1), it still doesn't matter which.
Then you can draw a line connecting the two points.
I hope this helps :)
Let me know if you need further explanation
What is the range of the function on the graph
Answers
Answer:
The range of the function is all the possible y-values.
Correct answer is the last answer
Determine whether the given first-order differential equation is linear in the indicated dependent variable by matching it with the differential equation given, a1(x) dy/dx + a0(x)y = g(x). (y8 − 1) dx + x dy = 0; in y; in x
Answers
This equation is linear in x but not in y. You can rewrite it as
(y ⁸ - 1) dx + x dy = 0
==> (y ⁸ - 1) dx/dy + x = 0
Sand, gravel and cement are mixed in a ratio of 5 : 10 : 3 to make concrete. If 35 shovels of sand are used, how many shovels of gravel, and how many shovels of cement are used?
Answers
Answer:
70 shovels of gravel, and 21 shovels of cement.
Step-by-step explanation:
35/5 = 7.
10 x 7 = 70, which is the number of shovels for gravel.
3 x 7 = 21, which is the number of shovels for cement.
70 shovels of gravel
21 shovels of cement
What is the value of the digit in the ten millions place?
72,974,382
A. 20,000,000
B. 2,000,000
C. 70,000,000
D. 7,000,000
Answers
Answer:
D.
Step-by-step explanation:
72,974,382
The first digit to the left is the in the 10 millions place.
Answer: 70,000,000
The probability that a school wins their first game in the national college basketball tournament is related to the rank they have going into the tournament. This can be expressed by the equation y=−6.39x+104 where x is their rank (out of 16) and y is the percent chance they have of winning their first game
According to the model, a school ranked #3 has what probability of winning their first game? Round your answer to the nearest percent.
A. 76%
B. 85%
C. 105%
D. 93%
Answers
Answer:
According to the model, a school ranked #3 has 85% probability of winning their first game.
Sheri surveyed eighty students and then generated three random samples of twenty-five student responses. The means of the samples are shown below. Looking at the table of samples means, which value is the best estimate of the mean of the population?
Answers
Answer:
Where is the table cant help unless shown
Step-by-step explanation:
Answer:
14
Step-by-step explanation:
12< average >16
14 is the only one in between 12 and 16.
or.....................................................................................................
12 + 16 + 13 = 41.
41/3 = 13 2/3.
13 2/3 rounds to 14 and it's the closest to it.
PLEASE HELP ME AND BE CORRECT BEFORE ANSWERING
Answers
Hope this helps! Please make me the brainliest, it’s not necessary but appreciated, I put a lot of effort and research into my answers. Have a good day, stay safe and stay healthy.
What is the area of parallelogram ABCD?
A)13 square units
B)14 square units
C)15 square units
D)16 square units
Answers
Answer:
c 15 square units
Step-by-step explanation:
it is very easy
13 A traffic roundabout has a circular garden
in the centre and two lanes for traffic
encircling the garden. The diameter of the
garden is 16 metres and each lane is 3 metres
wide. Each lane is to be resurfaced. Calculate
the area to be resurfaced. Answer in square
metres to the nearest whole number.
Answers
Answer:
Step-by-step explanation:
The area to be resurfaced is the area of the
whole circle including garden and lanes minus
the area of the garden.
Area of a circle is (pi)r2
radius of garden is (1/2)diameter = 8 m
Garden area: (pi)82 = 64(pi) m2
Diameter of garden plus traffic lanes is
16 + 2(6) because we add 6 m to both sides
of the diameter of the garden.
Full diameter = 16+12 = 28 m
Full radius = 28/2 = 14 m
Full area: (pi)142 = 196(pi) m2
Area to be resurfaced:
196(pi) - 64(pi) = 132(pi) m2 ≅ 415 m2
Convert the following expression into prefix-p notation (Scheme statement):
10 + (5 - 3) + 2 / 4
Answers
Answer:
12.5
Step-by-step explanation:
