Answer:
79.4° to the nearest tenth of a degree
Step-by-step explanation:
You are trying to find the angle opposite the side of length 27.
Let the length of that side be c and a and b be the lengths of the other two sides and let C be the measure of the angle you are looking for
Using the law of cosines
[tex]c = \sqrt{a^{2} + b^{2} - 2abcos C}[/tex]
[tex]27 = \sqrt{19^{2} + 23^{2} - 2(19)(23)cosC}[/tex]
[tex]27^{2} = 19^{2} + 23^{2} - 2(19)(23)cosC[/tex]
729 = 361 + 529 - 874cosC
729 = 890 - 874cosC
-161 = -874cosC
-161/-874 = cosC
.1842105.... = cosC
C = arccos .1842105.... = 79.4° to the nearest tenth of a degree
A red t-shirt costs $9.50. A black t-shirt costs 4 times as much as the red t-shirt. How much does the black t-shirt?
A. $36.50
B. $28.25
C. $36
D. $38
Answer: D or $38
Step-by-step explanation:
Answer: The answer is D) $38.
Step-by-step explanation:
When you multiply $9.50 by 4 you get $38.
One year Hank had the lowest ERA (earned-run average, mean number of runs yielded per nine innings pitched) of any male pitcher at his school, with an ERA of 3.36 . Also, Jane had the lowest ERA of any female pitcher at the school with an ERA of 3.49 . For the males, the mean ERA was 4.449 and the standard deviation was 0.792 . For the females, the mean ERA was 5.091 and the standard deviation was 0.669 . Find their respective z-scores. Which player had the better year relative to their peers, Hank or Jane
Answer:
Hank had a z-score of -1.375.
Jane had a z-score of -2.39.
Jane had the better year relative to their peers, due to her lower z-score.
Step-by-step explanation:
Z-score:
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore 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 pvalue, we get the probability that the value of the measure is greater than X.
Hank:
ERA of 3.36. For the males, the mean ERA was 4.449 and the standard deviation was 0.792. This means that we have to find Z when [tex]X = 3.36, \mu = 4.449, \sigma = 0.792[/tex]. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{3.36 - 4.449}{0.792}[/tex]
[tex]Z = -1.375[/tex]
Hank had a z-score of -1.375.
Jane
ERA of 3.49. For the females, the mean ERA was 5.091 and the standard deviation was 0.669. This means that we have to find Z when [tex]X = 3.49, \mu = 5.091, \sigma = 0.669[/tex]. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{3.49 - 5.091}{0.669}[/tex]
[tex]Z = -2.39[/tex]
Jane had a z-score of -2.39.
Which player had the better year relative to their peers, Hank or Jane
Low ERA is good, high is bad. This means that whoever had the lower z-score had the better year, and in this case, it's Jane
if the length of a box is 17 cm breadth is 6 cm and volume is 1020 cube find the height of the box
Answer:
10 cm
Step-by-step explanation:
17×6×h=1020
102h=1020
h=1020/102=10
h=10 cm
how do I simplify each expression by combining like terms for this problem
-7+13x+2x+8
Answer:
the answer would be 15x+ 1
Step-by-step explanation:
Answer:
1 + 15x
Step-by-step explanation:
-7+13+2x+8 separate the terms
-7+8 = 1
13x + 2x = 15x put them together
1+15x
1/8 x a number equals 2
Answer:
The number should be 16.
Step-by-step explanation:
Answer:
16
Step-by-step explanation:
1/8 * x = 2
x = 16
The amount of time needed to complete a certain roadtrip, t, varies inversely with the speed of a vehicle, s. At a speed of 52 miles per hour, the trip will be complete in 12 hours. How many hours would it take at a speed of 48 miles per hour?
Do not include the units in your answer.
At a speed of 48 miles per hour, it would take 13 hours.
What is speed?Velocity is the pace and direction of an item's movement, whereas speed is the time rate at which an object is travelling along a route.
Given:
The amount of time needed to complete a certain road trip, t, varies inversely with the speed of a vehicle, s. At a speed of 52 miles per hour, the trip will be complete in 12 hours.
Distance is constant.
And we know the formula:
Distance = speed x time
= 52 x 12
= 624 miles
Now to find the time:
Now for speed = 48 miles per hour
time,
t = distance / speed
= 624/48
= 13 hours
Therefore, 13 hours would it take at a speed of 48 miles per hour.
To learn more about the speed;
https://brainly.com/question/7359669
#SPJ2
please help it’s due!!!
Answer:
33
Step-by-step explanation:
46/22=46+23/x
46x=22 times 69
46x=1518
x=33
The accompanying specific gravity values describe various wood types used in construction. 0.32 0.35 0.36 0.36 0.37 0.38 0.40 0.40 0.40 0.41 0.41 0.42 0.42 0.42 0.42 0.42 0.43 0.44 0.45 0.46 0.46 0.47 0.48 0.48 0.49 0.53 0.54 0.54 0.55 0.58 0.61 0.66 0.66 0.67 0.68 0.76 Construct a stem-and-leaf display using repeated stems. (Enter numbers from smallest to largest separated by spaces. Enter NONE for stems with no values.) Stem
Answer:
Follows are the responses to the given question:
Step-by-step explanation:
Please find the complete question in the attached file.
[tex]Stem\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ Leaf\\\\[/tex]
[tex]3\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 3\\\\3 \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 5,6,6,7,8\\\\4 \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 0,0,0,1,1,2,2,2,2,2,3,4\\\\4 \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 5,6,6,7,8,8,8\\\\5 \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 1,4,4\\\\[/tex]
[tex]5 \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 5,8\\\\6\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 1\\\\6 \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 6,6,7,8\\\\7 \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ NONE\\\\7 \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 6\\[/tex]
The stem & leaf show demonstrates that 0.55 for both the data is indeed a reasonable value.
The probable outlier is the data value 0.76.
The variability of the techniques is relatively large.
It show isn't symmetrical and seems to be optimistic.
If the markup rate is 50%, then the cost of a shirt that regularly sells for $60 is $40. true or false?
Answer:
false
Step-by-step explanation:
half of 60 dollars is 30
think of it as half of 6
In a population of 400,000 people, 160,000 are infected with a virus. After a person becomes infected and then recovers, the person is immune (cannot become infected again). Of the people who are infected, 4% will die each year and the others will recover. Of the people who have never been infected, 15% will become infected each year. How many people will be infected in 4 years
Answer:
Number of people that will be infected in 4 years is 252,610.
Step-by-step explanation:
The number of people that will be infected in 4 years can be calculated as follows:
Number of people that will be infected in year 1 = 160,000
Number of people that will not be infected in year 1 = 400,000 - 160,000 = 240,000
Number of people that will be infected in year 2 = Number of people that will not be infected in year 1 * 15% = 240,000 * 15% = 36,000
Number of people that will not be infected in year 2 = Number of people that will not be infected in year 1 - Number of people that will be infected in year 2 = 240,000 - 36,000 = 204,000
Number of people that will be infected in year 3 = Number of people that will not be infected in year 2 * 15% = 204,000 * 15% = 30,600
Number of people that will not be infected in year 3 = Number of people that will not be infected in year 2 - Number of people that will be infected in year 3 = 204,000 - 30,600 = 173,400
Number of people that will be infected in year 4 = Number of people that will not be infected in year 3 * 15% = 173,400 * 15% = 26,010
Therefore, we have:
Number of people that will be infected in 4 years = Number of people that will be infected in year 1 + Number of people that will be infected in year 2 + Number of people that will be infected in year 3 + Number of people that will be infected in year 4 = 160,000 + 36,000 + 30,600 + 26,010 = 252,610
A explanation would help very much
Answer:
x = 14
y = 40
Step-by-step explanation:
3y+8 = 128
3y = 120
y = 40
45/20=2.25 (scale factor)
5x-25 = 2.25(2x-8)
5x-25 = 4.5x - 18
.5x = 7
x=14
2 z − 22 facorise fully
Answer:
Factorising fully
then
2z - 22
= 2( z - 11)
find all the numbers whose absolute value is -6
Answer:
6
Step-by-step explanation:
:-)
The radius of a parachute is shown below.
What is the diameter of the parachute? What is the circumference of the parachute?
Step-by-step explanation:
Diameter is 6 ft
3 ft + 3ft
Seven times a certain number plus the number is equal to 88. Find the number.
Answer:
11
Step-by-step explanation:
11 * 7= 77
77 + 11= 88
I'm really confused about this question is 7f=49
Step-by-step explanation:
given
7f = 49
f = 49/ 7
f = 7
Hope it will help :)
Answer:
7
Step-by-step explanation:
[tex]7f = 49 \\ divide \: both \: sides \: by \: 7 \\ \frac{7f}{7} = \frac{49}{7} \\ f = 7[/tex]
Find the length of AB
Answer:
69
Step-by-step explanation:
Put the following rational numbers in order from least to greatest.
-8.2, 0.4, -2.5, 2.4
Answer:
-8.2,-2.5,.4,2.4
Step-by-step explanation:
start by negatives. negatives are lesser the higher they are. so -8.2 is less than -2.5. then positives are greater than negatives. .4 is less than 2.4. hope this helps
simplify the ratio of 55/121
Answer:
Thus, 5/11 is the simplified fraction for 55/121 by using the GCD or HCF method. Thus, 5/11 is the simplified fraction for 55/121 by using the prime factorization method.
I hope it's helpful!
Pls help me with this question thanks
Answer:
7 Hours
Step by Step:
150 pages divided by 25 page per hour is 7 Hours
If we do 150/25 we have 7 which is the answer
What is the solution to the system of equations? 3x - 6y = - 12 x - 2y = - 8 Use the substitution method to justify that the given system of equations has no solution.
Answer:
There is no solution to this system.
Step-by-step explanation:
The left side of the first equation is 3 times the left side of the second one.
If we multiply the whole of the second equation by 3 we get:
3x - 6y = -16.
As the first equation is 3x - 6y = -12 we see that there is no solution to this system. 3x - 6y can't be equal to -12 and -16.
If country A has 161,500 million more computers than country B and the total number of computers for both countries is 321,050 million, find the number of commuters for each country.
Country A has _ million computers and country B has _ million computers.
Answer:
b has 79,775 million
a has 241,275 million
Step-by-step explanation:
a has more than b
b+161,500 is a
b=b
b+b+161,500=321,050
2b=321,050-161,500
2b=159,550
b=159,550/2
b=79,775
a=b+161,500
a=79,775+161,500
a=241,275
DASAROLLA:
a) (x+3) (x+5)=
b) (x+4) (x-5)=
Answer:
a)[tex]x^{2}[/tex]+8x+15
b)[tex]x^{2}[/tex]-x-20
Step-by-step explanation:
a) (x+3)(x+5)
a)[tex]x^{2}[/tex]+5x+3x+15
a)[tex]x^{2}[/tex]+8x+15
b) (x+4)(x-5)
b) [tex]x^{2}[/tex]-5x+4x-20
b)[tex]x^{2}[/tex]-x-20
simplify the following expression, show all work you did to get the results
Answer:
(sqrt(7))/3 or decimal 0.8819171036881968635005385845464201419034197276941500601227781530...
Step-by-step explanation:
Simplify the following:
(sqrt(14))/(sqrt(18))
Hint: | Simplify radicals.
sqrt(18) = sqrt(2×3^2) = 3 sqrt(2):
(sqrt(14))/(3 sqrt(2))
Hint: | Multiply numerator and denominator of (sqrt(14))/(3 sqrt(2)) by sqrt(2).
Rationalize the denominator. (sqrt(14))/(3 sqrt(2)) = (sqrt(14))/(3 sqrt(2))×(sqrt(2))/(sqrt(2)) = (sqrt(14) sqrt(2))/(3×2):
(sqrt(14) sqrt(2))/(3×2)
Hint: | Multiply 3 and 2 together.
3×2 = 6:
(sqrt(14) sqrt(2))/6
Hint: | For a>=0, sqrt(a) sqrt(b) = sqrt(a b). Apply this to sqrt(14) sqrt(2).
sqrt(14) sqrt(2) = sqrt(14×2):
(sqrt(14×2))/6
Hint: | Multiply 14 and 2 together.
14×2 = 28:
(sqrt(28))/6
Hint: | Simplify radicals.
sqrt(28) = sqrt(2^2×7) = 2 sqrt(7):
(2 sqrt(7))/6
Hint: | In (2 sqrt(7))/6, divide 6 in the denominator by 2 in the numerator.
2/6 = 2/(2×3) = 1/3:
Answer: (sqrt(7))/3
HELPPP DUE VERY SOON ILL GIVE BRAINLESS
Answer:
b
Step-by-step explanation:
PLEASE HELP PLSS IM ON A TIME LIMIT!!!
Answer:
so on the first one all your doing is multiplying 65 by the number on top so the graph should look like this.
2 3 4 5
130 195 260 325
On the second one all your doing is putting the dot where the numbers meet up so for example. I'm going to try my best at this to create a drawing so pretend ! is a line and - is also a line.
10!
!
8!
!
4!_|●_|_|_|_|_|_|
!_|_|_|_|_|_|_|_|
!_|_|_|_|_|_|_|_|_
0!_|_|_|_|_|_|_|_|_|_
2
so I hope this made sense so where I put my dot is where the blue dot should go on the graph
two sixth times five
Answer:
1 4/6
Step-by-step explanation:Put 5 into a fraction (5/1) then time 5/1 times 2/6 and get 10/6 then covert it into a mixed number 1 4/6
18 Which expression below is equivalent to -3x + 5(x + 2)? Circle the
correct answer.
A 2x + 2
B.
-x+ 2
C 2x + 10
D
- 8x + 10
Kaitlin chose A as the correct answer. How did she get that answer?
Answer:
C
Step-by-step explanation:
First, use the distributive property to open the parentheses:
-3x + 5x + 10
2x + 10
The correct answer is C
Kaitlin forgot to use the distributive property on both the x and 2.
Hope this helps!
Zaire needs to purchase 600 cans of juice for a birthday party. Juicy juices sells a 6 packs of juice at $3.35 each. Tasty juices sells a cause of 24 juices for $13.50 each
Answer: 6 packs are cheaper by $2.50 or 0.42 c per can.
Step-by-step explanation:
In 6 packs, 600 cans = 100 packs at 3.35 = 335
in 24s, 600 cans = 25 cases at 13.50 = 337.50
4.- Un vehículo ha tardado 23 minutos en recorrer 86 Km. Si suponemos que no cambió de
velocidad en el trayecto, ¿qué velocidad llevaba cada segundo?
5.- Hemos dado la vuelta a un circuito en 34 segundos, llevando una velocidad constante de 13
Answer:
I speak English.
Step-by-step explanation:
I am from America.
