Given:
In triangle XYZ, x = 27 cm, y = 79 cm and [tex]\angle C=142^\circ[/tex].
To find:
The length of z.
Solution:
In triangle XYZ, using the Law of cosine, we get
[tex]z^2=x^2+y^2-2xy\cos Z[/tex]
Putting the given values in the above formula, we get
[tex]z^2=(27)^2+(79)^2-2(27)(79)\cos (142^\circ)[/tex]
[tex]z^2=729+6241-4266(-0.788)[/tex]
[tex]z^2=6970+3361.608[/tex]
[tex]z^2=10331.608[/tex]
Taking square root on both sides.
[tex]z=\pm \sqrt{10331.608}[/tex]
[tex]z=\pm 101.6445178[/tex]
Approx the above value to the nearest number and side length cannot be negative. So,
[tex]z\approx \pm 102\text{ cm}[/tex]
Therefore, the length of z is about 102 cm.
Answer:102
Step-by-step explanation:
Which point is located at 2 7/10?
Answer:
C
there are 10 spaces in between 2 and 3, so you just count up to it
help this should be simple
Solve for X
5(3X-2)=5
Which number line shows the solution of -5 + 10 > -15?
These points are linear. Find the slope.
If the expected value (the mean) of successes in a binomial experiment of 100 trials is 55. Which of the following are not true?Let x = the no. of successes of the 100 trials. Then P(s) = p = 55/100 = 0.55The standard deviation of the binomial distribution is approximately σ = √(npq) = √(100x0.55x0.45) ≈ 4.97The probability distribution of x = B(100, 0.55) can be approximated by N(55, 4.97)a) I onlyb) II onlyc) I and IId) All of the statements are true
Answer:
All of the statements are true
Step-by-step explanation:
Given that :
Number of trials (n) = 100
Expected number of successes = 55
The number of successes of the 100 trials :
Number of successes / number of trials = 55 / 100 = expected number of successes / n = 55/ 100 = 0.55
Using Normal approximation :
Standard deviation (σ) = √(npq) ; q = 1 - p = 1 - 0.55 = 0.45
σ = √(100 * 0.55 * 0.45) = √24.75 = 4.975
The probability distribution of x = B(n, p) = x = B(100, 0.55)
Using approximation ; N(p, σ) = N(55, 4.97)
Hence, All of the statements are true
FIND THE LCD FO 3/4 AND 7/9
Answer:
The LCD is 36.
Step-by-step explanation:
3/4 = 3/4 × 9/9 = 27/36
7/9 = 7/9 × 4/4 = 28/36
Graph each equation using the slope and the y-intercept. y = –4x – 2.5
Which of the following are like terms?
15y4,16y3
8y6, 6y8
16y2, 12y
13y25, 2y25
Answer: D) 13y^25 and 2y^25
Like terms involve the same variables, and each of those variables must have the same exponents.
Another example of a pair of like terms would be 5x^3y^2 and 7x^3y^2. Both involve the variable portion "x^3y^2" which we can replace with another variable, say the variable z. That means 5x^3y^2 becomes 5z and 7x^3y^2 becomes 7z. After getting to 5z and 7z, it becomes more clear we have like terms.
if a human has 152 points then asks a question for 30 and then answers this one for 40 points. how many will he have after this?
show your work. ( or not idc )
Answer: 162
Work: 152 - 30 which equals 122, then add 40, and you get 162.
I hope this helps for something, and Happy Holidays! :)
Which term best describes the expression 2x + 2dy−3?
Monomial
Not a polynomial
Trinomial
Binomial
Answer:
the term is separated by minus (-) and plus (+) .
therefore this term is trinomial.
(a)
3) A garden hose emits 3 quarts of water in 4 seconds. At this rate:
A. How long will it take the hose to emit 12 quarts?
Answer:
16 seconds
Step-by-step explanation:
you would divide 12 by three and then multiply the answer by four to get 16 seconds
What is the slope of the line that passes through the points (8, 2) and (9,3)? Write
your answer in simplest form.
Answer:
1
Step-by-step explanation:
The formula for slope is [ y2-y1/x2-x1 ].
3-2/9-8
1/1
1
Best of Luck!
Consumer complaints are frequently reported to the Better Business Bureau. In one year the industries with the most complaints to the Better Business Bureau were banks; cable and satellite television companies; collection agencies; cellular phone providers; and new car dealerships. The results for a sample of 200 complaints are contained in the DATAfile named BBB.Click on the datafile logo to reference the data.Bank 26, Cable 44, Car 42, Cell 60, Collection 28(a) Show the frequency and percent frequency of complaints by industry.Industry Frequency % Frequency Bank Cable Car Cell Collection Total (b) Which industry had the highest number of complaints?- Select your answer -Banks/Cable and satellite television companies/Collection agencies/Cellular phone(c) Comment on the percentage frequency distribution for complaints.The input in the box below will not be graded, but may be reviewed and considered by your instructor.
Answer:
Consumers Complaints
a) Frequency and Percent Frequency of Complaints by Industry:
Industry Frequency % Frequency
Bank 26 13% (26/200)
Cable 44 22% (44/200)
Car 42 21% (42/200)
Cell 60 30% (60/200)
Collection 28 14% (28/200)
Total 200 100%
b) The Cellular Phone industry has the highest number of complaints.
c) The percentage frequency distribution of complaints shows that many consumers are not satisfied with the services of their cellular phone providers. This highest level of service dissatisfaction is followed by services rendered by Cable and Satellite Television Companies and Car dealers, in that order. Comparatively, less dissatisfaction was showed to Collection and Bank services.
Step-by-step explanation:
a) Data and Calculations:
Bank 26
Cable 44
Car 42
Cell 60
Collection 28
Industry Frequency % Frequency
Bank 26 13% (26/200)
Cable 44 22% (44/200)
Car 42 21% (42/200)
Cell 60 30% (60/200)
Collection 28 14% (28/200)
Total 200 100%
If x2 = 10, what is the value of x? (5 points)
+ V10
#V20
+5
+20
Answer:
[tex]x=\pm\sqrt{10}[/tex]
Step-by-step explanation:
It is given that,
[tex]x^2=10[/tex]
We need to find the value of x.
[tex]x=\pm\sqrt{10}[/tex]
Plus- minus will come before 10. So, the correct option is (A). Hence, this is the required solution.
If Abigail took 15 hours to read a 480 page book. At this rate, how long will it take for her to read a 320 page book? pls give me the equation
Answer:
10 hours
Step-by-step explanation:
Equation: 15/480=x/320
-15x=320*480
x=10
=10 hours
Remove all perfect squares from inside the square root
172
Answer:4^\67
Step-by-step explanation:
Miranda cuts grass (g) for $20 and hour and trims hedges (h) for $25 an hour. She is trying to make enough money during the summer to buy a car for $4200.
Which inequality represents the number of hours Miranda needs to cut grass and trim hedges.
Answer:
20g + 25h ≥ 4200
Step-by-step explanation:
Miranda needs nothing less than $4200 to but a car
What is the slope?
Simplify your answer and write it as a proper fraction, improper fraction, or integer,
Answer:
[tex]2[/tex]
Step-by-step explanation:
For this I would find two friendly points like (60,10) and (70,30). Now we will plug in for the slope-intercept formula [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex].
So...
[tex]y_2=30\\y_1=10\\x_2=70\\x_1=60[/tex]
Now we plug in and solve...
[tex]m=\frac{y_2-y_1}{x_2-x_1}\\m=\frac{30-10}{70-60}\\m=\frac{20}{10}\\m=\frac{2}{1}=2[/tex]
So the slope will be 2.
A jar of 150 jelly beans contains 22 red jelly beans, 38 yellow, 20 green, 28 purple, 26 blue, and the rest are orange.Let B = the event of getting a blue jelly beanLet G = the event of getting a green jelly bean.Let O = the event of getting an orange jelly bean.Let P = the event of getting a purple jelly bean.Let R = the event of getting a red jelly bean.Let Y = the event of getting a yellow jelly bean.What is the probability of drawing a red jelly bean in the first draw WITHOUT replacing the red jelly bean, then choosing a blue jelly bean in the second draw?Use 4 decimal places for this problem. Do not round your answers for intermediate steps, only for the final answer.
Answer:
[tex]P(R\ and\ B) = 0.0256[/tex]
Step-by-step explanation:
Given
[tex]Red = 22[/tex]
[tex]Yellow = 38[/tex]
[tex]Green = 20[/tex]
[tex]Purple = 28[/tex]
[tex]Blue = 26[/tex]
[tex]Orange = 16[/tex]
Required
Determine the probability of red then blue jelly? i.e. P(R and B)
From the question, we understand that the red jelly bean was not replaced. This means that the number of jelly beans reduced by 1 after the picking of the red jelly bean
So, we have:
[tex]P(R\ and\ B) = P(R)\ and\ P(B)[/tex]
This is then solved further as:
[tex]P(R\ and\ B) = P(R)\ *\ P(B)[/tex]
[tex]P(R\ and\ B) = \frac{n(R)}{Total}\ *\frac{n(B)}{Total - 1}[/tex]
The probability has a denominator of Total - 1 because the number of jelly beans reduced by 1 after the picking of the red jelly bean
The equation becomes:
[tex]P(R\ and\ B) = \frac{22}{150}\ *\frac{26}{150- 1}[/tex]
[tex]P(R\ and\ B) = \frac{22}{150}\ *\frac{26}{149}[/tex]
[tex]P(R\ and\ B) = \frac{22*26}{150*149}[/tex]
[tex]P(R\ and\ B) = \frac{572}{22350}[/tex]
[tex]P(R\ and\ B) = 0.02559284116[/tex]
[tex]P(R\ and\ B) = 0.0256[/tex]
You’ve been saving your money to buy a guitar. You have 3 ten-dollar bills, 8 five-dollar bills, and 26 one-dollar bills. You also have 47 quarters, 105 dimes, 62 nickels, and 149 pennies. In addition, you have a check for $25.00, which is a gift from a relative. You decide to deposit this money in your savings account. How much is your total deposit?
Answer: $147.84
I had the same question and it is $147.84.
Answer:
$137.34 is your total deposit
Step-by-step explanation:
add all of the totals together
Kamal spent 40% of his income. He
deposited Rs. 400 in a bank and
was left with Rs. 500. What is his
income?
(a) Rs. 1200
(b) Rs. 1450
(c) Rs. 1500
(d) Rs. 1680
an
Answer:
(c) Rs. 1500
Step-by-step explanation:
Percentages
It's given Kamal spent 40% of his income. With the remaining 60%, he deposited Rs. 400 in a bank and still has Rs. 500 left.
This means Rs. 400 + Rs. 500= Rs. 900 is 60% if his income.
The 100% of his income is calculated as a percent proportion:
If 60% is Rs. 900, then 100% is:
[tex]\displaystyle \frac{900}{60}*100=1500[/tex]
Thus, Kamal's income is Rs. 1500. Correct choice: (c) Rs. 1500
Consider the function.
Which conclusions can be drawn about f–1(x)? Select two options.
Answer:
The function is being reflected
Step-by-step explanation:
When a function becomes negative it is being reflected
Answer:
C and E
f–1(x) has a y-intercept of (0, –36).
f–1(x) has a range of all real numbers.
Step-by-step explanation:
edge
Last year Hank cashed out his investment account that earned 4.5% simple interest after 10 years
of investing. He ended up with $350 in interest on the account. How much was his initial investment?
Show your work
I=
P=
R=
T=
Answer:
Initial investment= $777.78
Step-by-step explanation:
Giving the following information:
Last year Hank cashed out his investment account that earned 4.5% simple interest after 10 years of investing. He ended up with $350 in interest on the account.
To calculate the principal (initial investment), we need to use the following formula:
I= P*r*t
I= $350
r= 0.045
t= 10
P= ?
350= P*0.045*10
350/0.45 = P
$777.78= P
700 in standard form
Answer:
7 × 10²
Step-by-step explanation:
→ The first digit has to be above 1 and below 10
Please help!!!!!!!!!!!
Answer:
Step-by-step explanation:
pounds / dollars =
You have to answer 2 questions.
1. Which axis are you reading first. Hint the question says pounds to dollars.
So you must be reading the x axis first. because it is pounds.
2. Where would the next point on the graph go.
You read along the x axis first. 25
then you read along the y axis. 20
The answer is 25,20 and that's where the next point goes.
Marshall is comparing introductory rates for two different video streaming services. He can pay $22.50 for the first 3 months with Watch It Now, or he can pay $43.50 for the first 6 months with Megaflicks. Which service's introductory rate is a better deal?
Answer:
megaflicks would be the better deal
Step-by-step explanation:
22.50 divided into 3 months would be 7.50
43.50 divided into 6 months would be 7.25
Meaning that you'd pay less every month with megaflicks.
Answer:
MEGA FLIX
Step-by-step explanation:
Can someone tell me the answer to this
Answer:
1.423 x [tex]10^{12}[/tex]
5.78 x [tex]10^{-6}[/tex]
Step-by-step explanation:
Scientific notation is a way of denoting a quantity as a single-digit number followed by decimals, times a base of ten.
TASK
#18 MILK AND COOKIES
Santa wants to serve milk and cookies to all
of the elves on Christmas Eve. He has already
ordered cookies, but still needs to decide how
much milk to order
Each elf will get a 1
cup of milk. If there
are 328 elves, how
many quarts of milk
need to be ordered?
Answer:
1312 quarts
Step-by-step explanation:
1 cup = 4 quarts
328 ^ 4 = 1312
Answer:
82 quartsStep-by-step explanation:
Each elf gets 1 cup of milk
Number of elves = 328
1 quart = 4 cups ⇒ 1 cup = 1/4 quart
Required volume of milk is:
328 cups = 328*1/4 quarts = 82 quarts82 quarts of milk to be ordered
Marty owns a motorcycle and does not like to put
more than 3,000 miles on it per year. If he drives
255 miles on average per month for1 year, will he
be within his 3,000 miles per year?
No he would be over by 60, all you have to do is multiply 255*12 to get the years amount of riding.