Answer:
24
Step-by-step explanation:
75% of x = 18
75/100 * x = 18 (x = total number of students)
solving
x = 24
total number of students = 24
Checking:
75/100 * 24 = 18
5. Solve for x. Round to the nearest tenth.
X
20
52°
Answer:
x= 25.6 (nearest tenth)
Step-by-step explanation:
Please see the attached picture for the full solution.
A, B and C are points on a circle with diameter AB.
ABC is a right-angled triangle.
Calculate the area of the circle.
Give your answer correct to 3 significant figures. *
Answer:
area is approximately 36.56
Step-by-step explanation:
simplify the following expression
(x+y)²
Answer:
[tex] {x}^{2} + 2xy + {y}^{2} [/tex]
Step-by-step explanation:
1) Use square sum: (a + b)² = a² + 2ab + b².
[tex] {x}^{2} + 2xy + y^{2} [/tex]
Therefor, the answer is x² + 2xy + y².
hlpppp meee hshshdjdjdj
Answer:
its b
Step-by-step explanation:
A relay microchip in a telecommunications satellite has a life expectancy that follows a normal distribution with a mean of 90 months and a standard deviation of 3.5 months. When this computer-relay microchip malfunctions, the entire satellite is useless. A large London insurance company is going to insure the satellite for 50 million dollars. Assume that the only part of the satellite in question is the microchip. All other components will work indefinitely.
A. For how many months should the satellite be insured to be 94% confident that it will last beyond the insurance date?
B. If the satellite is insured for 84 months, what is the probability that it will malfunction before the insurance coverage ends?
C. If the satellite is insured for 84 months, what is the expected loss to the insurance company?
D. If the insurance company charges $3 million for 84 months of insurance, how much profit does the company expect to make?
Answer:
a) The insurance should be of 84.6 months, that is, approximately 85 months.
b) 0.0436 = 4.36% probability that it will malfunction before the insurance coverage ends.
c) The expected loss to the insurance company is of 2.18 million.
d) The company should expect to make a profit of $689,200.
Step-by-step explanation:
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
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.
A relay microchip in a telecommunications satellite has a life expectancy that follows a normal distribution with a mean of 90 months and a standard deviation of 3.5 months.
This means that [tex]\mu = 90, \sigma = 3.5[/tex]
A. For how many months should the satellite be insured to be 94% confident that it will last beyond the insurance date?
The 100 - 94 = 6th percentile, which is X when Z has a pvalue of 0.06. So X when Z = -1.555.
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]-1.555 = \frac{X - 90}{3.5}[/tex]
[tex]X - 90 = -1.555*3.5[/tex]
[tex]X = 84.6[/tex]
The insurance should be of 84.6 months, that is, approximately 85 months.
B. If the satellite is insured for 84 months, what is the probability that it will malfunction before the insurance coverage ends?
This is the pvalue of Z when X = 84. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z= \frac{84 - 90}{3.5}[/tex]
[tex]Z = -1.71[/tex]
[tex]Z = -1.71[/tex] has a pvalue of 0.0436
0.0436 = 4.36% probability that it will malfunction before the insurance coverage ends.
C. If the satellite is insured for 84 months, what is the expected loss to the insurance company?
0.0436 probability of losing 50 million. So
0.0436*50 = 2.18
The expected loss to the insurance company is of 2.18 million.
D. If the insurance company charges $3 million for 84 months of insurance, how much profit does the company expect to make?
1 - 0.0436 = 0.9564 probability of making 3 million.
0.0436 probability of losing 50 million
So
[tex]E = 0.9564*3 - 0.0436*50 = 0.6892[/tex]
The company should expect to make a profit of 0.6892 million, that is, $689,200.
A vat of orange contains the juices from 843 oranges . If a company has 89 vats . How many oranges would they use to fill them.
SOMEONE PLEASE HELP ME ASAP ILL GIVE BRAINLIEST
Answer:
for first one
√8²+4²=24
6²=36 not right angled triangle
so it is obtuse TRAINGLE
Step-by-step explanation:
for second one
it is acute TRAINGLE
What’s the answer for this trinomial question (x-2)(x+5)=
please help me please i really need help please
Answer:
d metamorphosis
Step-by-step explanation:
Help!!!!
Order the numbers from least to greatest I will give brainlist
Answer:
already in order
Step-by-step explanation:
Answer:
-3.5, -3, -2 1/2, -2, 2.5
Step-by-step explanation:
Hope this helps :)))))
The scale drawing of a room in a hotel is shown below. If 3 in. = 12 ft, what are the actual dimensions of the room?
15 in.
20 in
A length = 40 feet, width = 39 ft.
B length = 60 feet, width = 45 feet
C length = 75 feet, width = 60 feet
D length = 80 feet, width = 60 feet
Answer:
B length = 60 feet, width = 45 feet
Step-by-step explanation:
If you divide the scale drawing (15 in) by length by the scale of of the same dimension (3 in) and multiply what you get (5) by what the larger scale is (12 ft) you get the answer (60 ft)
Can someone please help
Answer:
6^7
Step-by-step explanation:
6^8 x 6^-1
6^{8-1}
6^7
Does anyone know how to do this?
Answer: 53
Step-by-step explanation:
Hope this helps!
13=2m+5
what does m equals ?
Answer:
m=4
Step-by-step explanation:
First subtract 5 from 2m and 13. This gives you 2m=8. Then divide by 2 on both sides. This gives you m=4
Answer:
m=4
Step-by-step explanation:hope it helps
5-13=2m+5-5
2/2m=8/2
m=4
Put the following equation of a line into slope-intercept form, simplifying all fractions
3x + 3y = -9
Howdy!
I am here with a handful of geometry questions today. Please answer the question based off the image(s) below.
If you are not sure of the answer please leave a comment, DO NOT ANSWER THE QUESTION UNLESS YOU KNOW THE ANSWER. Please don't take me points! Thanks for understanding.
Anyways, please show all of your work and explain your thinking! Thanks!
Answer:
Right square pyramid
Volume:
V = 1/3a²h = 1/3*3²√(4² - (3/2)²) = 11.1 ft³Surface area:
A = a² + 2al = 3² + 2*3*4 = 33 ft²The comparative statements of Wahlberg Company are presented here.
Wahlberg Company
Income Statement
For the Years Ended December 31
2020
2019
Net sales
$1,817,500 $1,753,100
Cost of goods sold
1,008,600 978,000
Gross profit
808,900 775,100
Selling and administrative expenses
519,200 480,800
Income from operations
289,700 294,300
Other expenses and losses
Interest expense
18,900 14,100
Income before income taxes
270,800 280,200
Income tax expense
81,512 78,000
Net income
$ 189,288 $ 202,200
Wahlberg Company
Balance Sheets
December 31
Assets
2020
2019
Current assets
Cash
$60,300 $64,500
Debt investments (short-term)
68,300 50,500
Accounts receivable
116,100 101,000
Inventory
122,700 115,200
Total current assets
367,400 331,200
Plant assets (net)
603,300 521,600
Total assets
$970,700 $852,800
Liabilities and Stockholders’ Equity
Current liabilities
Accounts payable
$161,000 $145,900
Income taxes payable
43,100 41,900
Total current liabilities
204,100 187,800
Bonds payable
220,000 200,000
Total liabilities
424,100 387,800
Stockholders’ equity
Common stock ($5 par)
276,200 297,400
Retained earnings
270,400 167,600
Total stockholders’ equity
546,600 465,000
Total liabilities and stockholders’ equity
$970,700 $852,800
All sales were on account. Net cash provided by operating activities for 2020 was $240,000. Capital expenditures were $146,000, and cash dividends were $86,488.
Compute the following ratios for 2020. (Round Earnings per share, Current ratio and Asset turnover to 2 decimal places, e.g. 1.65 or 1.65:1, and all other answers to 1 decimal place, e.g. 6.8 or 6.8%. Use 365 days for calculation.)
(a)
Earnings per share
$enter your answer rounded to 2 decimal places
(b)
Return on common stockholders’ equity
enter your answer rounded to 1 decimal place
%
(c)
Return on assets
enter your answer rounded to 1 decimal place
%
(d)
Current ratio
enter your answer rounded to 2 decimal places
:1
(e)
Accounts receivable turnover
enter your answer rounded to 1 decimal place
times
(f)
Average collection period
enter your answer rounded to 1 decimal place
days
(g)
Inventory turnover
enter your answer rounded to 1 decimal place
times
(h)
Days in inventory
enter your answer rounded to 1 decimal place
days
(i)
Times interest earned
enter your answer rounded to 1 decimal place
times
(j)
Asset turnover
enter your answer rounded to 2 decimal places
times
(k)
Debt to assets ratio
enter your answer rounded to 1 decimal place
%
(l)
Free cash flow
$enter your answer in dollars
Factor 70q+60. Write your answer as a product with a whole number greater than 1.
Answer:
10(7q + 6)
Step-by-step explanation:
Find the GCF of 70 and 60: 10Divide each number by 10 (steps shown below)70q ÷ 10 = 7q60 ÷ 10 = 6Re-write the expression with 10: 10(7q + 6)I hope this helps!
solve the system of equations
y=-3/2x+9
2x+2y=16
Answer:
x=2 and y=6
Step-by-step explanation:
Please help me with this
Is the following shape a square? How do you know
I GIVE BRAINLIEST FOR EXPLANATION AND CORRECT ANSWER EXTRA POINTS
Answer:
5150
Step-by-step explanation:
:)
What is the value of x?
• 12 units
• 15 units
O 20 units
O 24 units
Answer:
Generally, the algebraic expression should be any one of the forms such as addition, subtraction, multiplication and division. To find the value of x, bring the variable to the left side and bring all the remaining values to the right side. Simplify the values to find the result.
Please help me click the picture to see
Hey!
I am here with a handful of geometry questions today. Please answer the question based off the image(s) below.
If you are not sure of the answer please leave a comment, DO NOT ANSWER THE QUESTION UNLESS YOU KNOW THE ANSWER. Please don't take me points! Thanks for understanding.
Anyways, please show all of your work and explain your thinking! Be sure to answer all 3 and be clear which answer goes to the question. Thanks!
9514 1404 393
Answer:
A) JM = 30
B) x = 11
C) x = 18
Step-by-step explanation:
A) Chords the same distance from the circle center have the same length.
KL = 2×15 = 30 = JM
__
B) Tangents from the same point have the same length.
2x -14 = x -3
x = 11 . . . . . . . . . add 14-x to both sides
__
C) No x is shown. We presume it is the length of the tangent segment. The product of lengths to the near and far circle intercepts is the same for both secants. A tangent is a degenerate secant having both intercepts at the same point.
x² = 12(12 +15) = 324
x = √324
x = 18
You have 50 cups. 10 cups are blue, 20 cups are red, and 20 cups are white. What percentage of cops are blue?
Answer:
10% or 5%
Step-by-step explanation:
1.5 x 10 to the power of 11
Answer:
150000000000
Step-by-step explanation:
1.5x10¹¹
= 150000000000
You can think about scientific notations by moving the position of the 'dot' 11 times to the right
The table shows the pricing for four different types of apples.
Which type costs the least per kilogram?
A $4 for 1.5 kg
B $5 for 2.0 kg
C $7 for 2.5 kg
D $8 for 3.5 kg
What kind of angels are 1 and 2 ?
Help me
Rearrange this equation that "0" is the subject.