Answer:
X=2, Y=-15
Step-by-step explanation:
-7x+y=-19
-2x+3y=-19
------------------
-3(-7x+y)=-19
-2x+3y=-19
---------------------
21x-3y=57
-2x+3y=-19
---------------------
19x = 38
19x/19=38/19
x=2
now plug 2 into x of the second equation to get y=-15
If cost of 3 kg of sugar is Rs 240. What is rate of cost of sugar
A Cessna 172 plane that is used to transport up to four VIPs is 2 km in the air if the potential energy of the VIP plane with three VIPs on board is 860 J what is the combined mass of the Cessna and passengers
Answer:
0.0438 kg
Step-by-step explanation:
We are given;
Potential energy; U = 860 J
Height; h = 2 km = 2000 m
Formula for potential energy is;
U = mgh
Where g is acceleration due to gravity = 9.81 m/s²
Thus;
860 = m × 9.81 × 2000
m = 860/(9.81 × 2000)
m = 0.0438 kg
Please help! Thank you
Answer:
-294
Step-by-step explanation:
A directed segment ST¯¯¯¯¯ is partitioned from S (−5,0) to T in a 32 ratio at point M (10, 15). What are the coordinates of point T? (20, 25) (15, 20) (7, 3) (5, 15
Answer:
[tex]T = (20,25)[/tex]
Step-by-step explanation:
Given
[tex]S = (-5,0)[/tex]
[tex]M = (10,15)[/tex]
[tex]Ratio = 3:2[/tex]
Required
Determine the coordinate of T
Line division by ratio is calculated using:
[tex]M(x,y) = (\frac{mx_2 + nx_1}{m+n},\frac{my_2 + ny_1}{m+n})[/tex]
Where:
[tex](x_1,y_1) = (-5,0)[/tex]
[tex](x,y) = (10,15)[/tex]
[tex]m:n = 3:2[/tex]
So, we have:
[tex](10,15) = (\frac{3 * x_2 + 2 * -5}{3+2},\frac{3 * y_2 + 2 * 0}{3+2})[/tex]
[tex](10,15) = (\frac{3x_2 -10}{5},\frac{3y_2}{5})[/tex]
Multiply through by 5
[tex]5 * (10,15) = (\frac{3x_2 -10}{5},\frac{3y_2}{5}) * 5[/tex]
[tex](50,75) = (3x_2 -10,3y_2)[/tex]
By comparison:
[tex]3x_2 - 10 = 50[/tex]
[tex]3y_2 = 75[/tex]
[tex]3x_2 - 10 = 50[/tex]
[tex]3x_2 = 50 + 10[/tex]
[tex]3x_2 = 60[/tex] --- Divide through by 3
[tex]x_2 = 20[/tex]
[tex]3y_2 = 75[/tex]
[tex]y_2 =75/3[/tex] --- Divide through by 3
[tex]y_2 =25[/tex]
Hence:
The coordinates of T is
[tex]T = (20,25)[/tex]
I mark as brainliest
Answer:
D
Step-by-step explanation:
Its d Reason is if she has 5 and he has 10 he has twice as much
A manufacturer knows that their items have a lengths that are approximately normally distributed, with a mean of 9.8 inches, and standard deviation of 1.6 inches. If 48 items are chosen at random, what is the probability that their mean length is greater than 9.2 inches
Answer:
0.6462
Step-by-step explanation:
Given that
Mean (m) = 9.8
Standard deviation (s) = 1.6
Probability that mean length is greater than 9.2
Z = (x - m) / s
Z = (9.2 - 9.8) / 1.6
Z = - 0.6 / 1.6
Zscore = - 0.375 = - 0.375
P(Z >- 0.375) = 1 - P(Z < - 0.375) ;
P(Z < - 0.375) = 0.3538
1 - P(Z < - 0.38) = 1 - 0.3538 = 0.6462
A factory that manufactures screws is performing a quality control experiment. Each object should have a length of no more than 19 centimeters. The factory believes that the length of the screws exceeds this value and measures the length of 65 screws. The sample mean screw length was 19.04 centimeters. The population standard deviation is known is known to be 0.19 centimeters. What is the null hypothesis and what is the alternative hypothesis?
Answer:
Step-by-step explanation:
Ok
Answer:
A factory that manufactures bolts is performing a quality control experiment. Each object should have a length of no more than 11 centimeters. The factory believes that the length of the bolts exceeds this value and measures the length of 76 bolts. The sample mean bolt length was 11.09 centimeters. The population standard deviation is known to be 0.29 centimeters.
What is the test statistic ?
What is the -value?
Does sufficient evidence exist that the length of bolts is actually greater than the mean value at a significance level of
pls help with number 7. and 8.
Answer:
One pair of gloves cost $5.89
Step-by-step explanation:
You just have to divide 29.45 by 5 and that gives you how much one pair of gloves cost
This table gives a few (x, y) pairs of a line in the coordinate plane. What is the x-intercept of the line?
Answer:
(22,0)
Step-by-step explanation:
22 0
35 -15
48 -30
61 -45
74 -60
How many solutions does the equation have?
3(d+11) = 6(d +33)
O 0
O 1
O infinitely many
9514 1404 393
Answer:
1 solution
Step-by-step explanation:
The coefficients of d are different on the two sides of the equation (3d vs 6d), so the equation has one solution.
__
Dividing by 3 gives ...
d +11 = 2(d +33)
d + 11 = 2d + 66
Adding -d-66 to both sides gives ...
-55 = d . . . . . . the one solution
Answer:
The answer is B
Step-by-step explanation:
i took the test and 1 was correct so.
consider this algebraic expression:
5 + 3x – 1 + 4x
Use the algebra tiles to collect like terms.
What is the simplified expression?
Answer:
7x+4
Step-by-step explanation:
mark me brainliest pls
(5/6) 2 x (1 1/10) 2
Answer:
11/3x
your welcome
32 students play basketball and 25 Students play
volleyball . It is found that 13 students play both
games. Find the number of students playing at least
one game
dotos numbers Sets
n
و
Answer:
44 students
Step-by-step explanation:
Given parameters:
Number of students playing basketball = 32
Number of students playing volleyball = 25
Number of students playing both = 13
Unknown:
Number of students playing at least one game = ?
Solution:
Let us first find the number of students that play basketball only and volleyball only.
Number of students playing basketball only = 32 - 13 = 19
Number of students playing volleyball only = 25 - 13 = 12
So,
Least number of students that play at least one game = number of students that plays basketball only + number of students that plays volleyball only + number of students that plays both;
= 19 + 12 + 13
= 44 students
PLEASE HELP(I’ll mark your answer as the Brainiest! & 11points) can someone please do numbers 1-3 Find the angle measure. Tell which postulate or theorem you use, thank you in advance!❤️
Answer:
1. m<5 = 114
2. m<6 = 68
3. m<2 = 64
Step-by-step explanation:
Question 1:
<1 = <4 because of Vertical Angles Theorem
< 4 = <5 because of Alternate Interior Angles Theorem
Hence, <1 = <5
Since m<1 = 114: m<5 = 114.
Question 2:
<3 = <6 because of Alternate Interior Angles Theorem
Since m<3 = 68: m<6 = 68
Question 3:
<2 = <7 because of Alternate Exterior Angles Theorem
Since m<7 = 64: m <2 = 64
Hope this helped! If not, let me know! <3
The number 49 has exactly three factors Since 98 is a multiple of 49, which must be tue of 982
It must have only two factors
tmusthave fewer than three factors
It must have exacty three factors
t must have more than three factors
Answer:
it must have more than 3 factors
Step-by-step explanation:
that factors are 1,2,491,982
Turn 2 1/8 into an improper fraction. Explain your steps
Answer:
17/8
Step-by-step explanation:
2 1/8 multiply 2 times 8 and 1 which equals to 17/8. The whole number times the denominator plus the numerator basically.
Answer:
17/8
Step-by-step explanation:
8 x 2 = 16
16 + 1 = 17
Find the quotient:
_________________
x - 4 ) x^3 + 2x^2 – 16x - 32
Step-by-step explanation:
x-4)x³+2x²-16x-32(x²+6x+8
x³-4x²
- +
____________
6x²-16x-32
6x²-24x
- +
_________
8x-32
8x-32
- +
_____
X X
______
Hence,
The quotient is x²+6x+8.
Sharon invests $2000 in a savings
account with a fixed annual interest rate of
7% compounded monthly. What is the amount in her saving account after 5 years?
Help :(
Answer: 0.07
Step-by-step explanation:
Use the given functions to set up and simplify 5years. 7% = 0.075 years = 0.07
How is 5 represented in 6.75
Answer:
5 is in the hundreths place :))
Step-by-step explanation:
Answer:
0.05
Step-by-step explanation:
since the place value of the five is beyond the decimal point, and it is the second number beyond the decimal point, so it is in the hundredths place.
Name the slop and one point that is on the line represented by the equation: y + 3 = -1/2(x +7)
Answer:
The slope is -1/2 and a point on the line is ( -7,-3)
Step-by-step explanation:
y + 3 = -1/2(x +7)
This is in point slope form
y - y1 = m(x-x1) where m is the slope and ( x1,y1) is a point on the line
y - -3 = -1/2(x - -7)
The slope is -1/2 and a point on the line is ( -7,-3)
* Pending
This map shows the organization that was
association of nearly 30 countrior
Eight rolls of paper towels cost $4.80. At the same unit rate, how much will six rolls of paper towels cost?
Answer:
10
Step-by-step explanation:
simplify 3 · 32 + 8 ÷ 2 − (4 + 3)
Answer:
= 93
Step-by-step explanation:
Calculate within parentheses:
(4+3)
= 7
Simplify:
= 3 * 32 + 8 ÷ 2 - 7
Multiply and divide (left to right):
= 96 + 8 ÷ 2 - 7
Multiply and divide (left to right):
= 96 + 4 - 7
Add and subtract (left to right):
= 93
The following data represent the high-temperature distribution for a summer month in a city for some of the last 130 years. Treat the data as a population. Complete parts (a) through (c).
Temperature Lower Limit Upper Limit Days
50-59 50 59 2
60-69 60 69 313
70-79 70 79 1419
80-89 80 89 1503
90-99 90 99 319
100-109 100 109 9
Required:
Approximate the mean and standard deviation for temperature.
Answer:
The mean is [tex]\= x = 79.7 [/tex]
The standard deviation [tex]\sigma =7.81[/tex]
Step-by-step explanation:
From the question we are told that
The data given is
Temperature Lower Limit Upper Limit Days
50-59 50 59 2
60-69 60 69 313
70-79 70 79 1419
80-89 80 89 1503
90-99 90 99 319
100-109 100 109 9
Generally the average of each limit is evaluated as
Temperature Lower Limit Upper Limit Average[tex](x_i)[/tex] Days[tex](f_i)[/tex]
50-59 50 59 ( 50 + 59 )/2 =54.5 2
60-69 60 69 (60+69)/2 = 64.5 313
70-79 70 79 (70+79)/2 =74.5 1419
80-89 80 89 (80+89)/2 =84.5 1503
90-99 90 99 (90+99)/2 = 94.5 319
100-109 100 109 (100+109)/2 = 104.5 9
Generally the mean is evaluated as
[tex]\mu = \frac{\sum x_i f_i}{\sum f_i}[/tex]
=> [tex]\mu = \frac{ (54.5 * 2) + (64.5 * 313) +\cdots +(104.5 * 9)}{2 + 313 +\cdots + 9}[/tex]
=> [tex]\= x = 79.7 [/tex]
Generally the standard deviation is evaluated as
[tex]\sigma = \sqrt{ \frac{\sum[ f_i * ( x_i^2 - \= x^2)] }{\sum f_i}}[/tex]
=> [tex]\sigma =\sqrt{ \frac{[2 * [(54.5)^2) - 79.7^2 ]]+[313 *[ (64.5)^2)-79.7^2] +\cdots +[9 *[ (104.5)^2)- 79.7^2] }{2 + 313 +\cdots + 9}}[/tex]
=> [tex]\sigma =7.81[/tex]
The mean and Standard deviation for the given data would be as follows:
μ [tex]= 79.7[/tex]
б [tex]= 7.81[/tex]
Frequency DistributionGiven that,
Temperature Lower Limit Upper Limit Days([tex]f_{i}[/tex])
50-59 50 59 2
60-69 60 69 313
70-79 70 79 1419
80-89 80 89 1503
90-99 90 99 319
100-109 100 109 9
Average([tex]x_{i}[/tex])
[tex]( 50 + 59 )/2 =54.5[/tex]
[tex](60+69)/2 = 64.5[/tex]
[tex](70+79)/2 =74.5[/tex]
[tex](80+89)/2 =84.5[/tex]
[tex](90+99)/2 = 94.5[/tex]
[tex](100+109)/2 = 104.5[/tex]
As we know,
Mean (μ) [tex]=[/tex] ∑[tex](x_{i} f_{i}) /[/tex]∑[tex]f_{i}[/tex]
[tex]= [(54.5[/tex] × [tex]2) + (64.5[/tex] ×[tex]313)+....(104.5[/tex]× [tex]9)][/tex][tex]/(2 + 313 + 1419 + ....9)[/tex]
∵ μ [tex]= 79.7[/tex]
As we know,
Standard Deviation:-
[tex]\sigma={\sqrt {\frac {\sum(x_{i}-{\mu})^{2}}{f_{i} }}}[/tex]
by putting the values, we get
∵ б [tex]= 7.81[/tex]
Thus, μ [tex]= 79.7[/tex] and б [tex]= 7.81[/tex] are the correct answers.
Learn more about "Temperature" here:
brainly.com/question/7510619
m. 2.7(2x + 3) –4.6 n. 2 3 (12 + 15z) – 4 1 2 z o. 9 10 + 1 4 ( 2 3 v+ 2 5 )–1
Answer:
go on
Step-by-step explanation:
math,way, ., com
Restless Leg Syndrome and Fibromyalgia
People with restless leg syndrome have a strong urge to move their legs to stop uncomfortable sensations. People with fibromyalgia suffer pain and tenderness in joints throughout the body. A recent study indicates that people with fibromyalgia are much more likely to have restless leg syndrome than people without the disease. The study indicates that, for people with fibromyalgia, the probability is 0.33 of having restless leg syndrome, while for people without fibromyalgia, the probability is 0.03. About 2% of the population has fibromyalgia. Create a tree diagram from this information and use it to find the probability that a person with restless leg syndrome has fibromyalgia.
Answer:
The probability that a person with restless leg syndrome has fibromyalgia is 0.183.
Step-by-step explanation:
Denote the events as follows:
F = a person with fibromyalgia
R = a person having restless leg syndrome
The information provided is as follows:
P (R | F) = 0.33
P (R | F') = 0.03
P (F) = 0.02
Consider the tree diagram attached below.
Compute the probability that a person with restless leg syndrome has fibromyalgia as follows:
[tex]P(F|R)=\frac{P(R|F)P(F)}{P(R|F)P(F)+P(R|F')P(F')}[/tex]
[tex]=\frac{(0.33\times 0.02)}{(0.33\times 0.02)+(0.03\times 0.98)}\\\\=\frac{0.0066}{0.0066+0.0294}\\\\=0.183333\\\\\approx 0.183[/tex]
Thus, the probability that a person with restless leg syndrome has fibromyalgia is 0.183.
Solve problem:
8-6•4+10/2
Answer:
[tex]8 - 6 \times 4 + \frac{10}{2} \\ = 8 - 6 \times 4 + 5 \\ = 8 - 24 + 5 \\ = 8 + 5 - 24 \\ = 13 - 24 \\ = - 11[/tex]
it is 200% correct answer..
It helps you ☺️Thank you ☺️
Factorise fully
-x - 8
please do quick! will mark brainiest!
Answer:
-(x+8)
Step-by-step explanation:
-x - 8
-1 *x -1 * 8
Factor out a -1
-1(x+8)
-(x+8)
Answer:
-1(x+8)1(-x -8)Step-by-step explanation:
[tex] - x - 8[/tex]
Factor out common term : -1
[tex] - 1(x + 8)[/tex]
Help me plsss! I'll give u 10 points
Answer:
1.02n
Step-by-step explanation:
We just have to simply the expression already given which will give you the equivalent expression.
n + 0.02n since these are like terms because of the variable "n", we can just add them together
n+0.02n
1.02n
The Fashion Store has $6000 available each month for advertising. Newspaper ads cost $200 apiece and no more than 20 can be run per month. Radio ads cost $100 each and no more than 30 can run per month. TV ads cost $800 a piece, with a maximum of 7 available each month. Approximately 1000 women will see each newspaper ad, 800 will hear each radio ad, and 14,000 will see each TV ad. How much of each type of advertising should be used if the store wants to maximize exposure?
9514 1404 393
Answer:
7 TV ads4 radio adsStep-by-step explanation:
The audience per dollar is ...
Newspaper: 1000/$200 = 5/$
Radio: 800/$100 = 8/$
TV: 14000/$800 = 17.5/$
So, TV gives the greatest exposure. As much of the budget as possible should be spent on TV ads. That amount is the lesser of $6000 and ...
(7 ads)($800/ad) = $5600
With $5600 spent on TV ads, the remaining advertising budget is ...
$6000 -5600 = $400
The next most cost-effective medium is radio. The remaining $400 budget allows for ...
$400/($100/ad) = 4 ads
__
To maximize exposure, the advertising budget should be spent this way:
TV: 7 ads for $5600, exposure of 98000Radio: 4 ads for $400, exposure of 3200