Answer:
X=.5, y=.75
Step-by-step explanation:
Answer:
x=0.5, y=0.75Step-by-step explanation:
Method : Substitution Method
[tex]\begin{bmatrix}4x+7.8y=7.85\\ -8x-y=-4.75\end{bmatrix}\\\\[/tex]
Isolate in for 4x +7.8y=7.85 and solve
[tex]4x+7.8y=7.85\\\mathrm{Multiply\:both\:sides\:by\:}100\\\\4x\times\:100+7.8y\times\:100=7.85\times\:100\\\\Refine\\400x+780y=785\\\\\mathrm{Subtract\:}780y\mathrm{\:from\:both\:sides}\\400x+780y-780y=785-780y\\\\Simplify\\400x=785-780y\\\\\mathrm{Divide\:both\:sides\:by\:}400\\\frac{400x}{400}=\frac{785}{400}-\frac{780y}{400}\\\\Simplify\\x =\frac{157-156y}{80}\\\\\mathrm{Substitute\:}x=\frac{157-156y}{80}\\\\\begin{bmatrix}-8\times\frac{157-156y}{80}-y=-4.75\end{bmatrix}[/tex]
[tex]Simplify\\\\\begin{bmatrix}\frac{-157+146y}{10}=-4.75\end{bmatrix}\\\\Isolate\:y \:for \:\frac{-157+146y}{10}=-4.75\\\\\mathrm{Multiply\:both\:sides\:by\:}10\\\frac{10\left(-157+146y\right)}{10}=10\left(-4.75\right)\\\\-157+146y=-47.5\\\\-157+146y+157=-47.5+157\\\\Simplify\\146y=109.5\\\\\mathrm{Divide\:both\:sides\:by\:}146\\\frac{146y}{146}=\frac{109.5}{146}\\\\Simplify\\y=0.75\\\\\mathrm{For\:}x=\frac{157-156y}{80}\\\\\mathrm{Substitute\:}y=0.75\\\\x=\frac{157-156\times\:0.75}{80}\\\\x=0.5,\:y=0.75[/tex]
Given angle DEF : angle RST, find the scale factor.
The scale factor is the bigger over the smaller, so [tex]\frac{4}{3}[/tex] is the scale factor.
To find x, we just use a proportion Biggest to Smallest:
[tex]\frac{4}{3}=\frac{16}{x}[/tex]
4x = 48
x = 12
help pls giving branliest
Answer:
https://youtu.be/TZbTr1oBwKU
Claire went home after school and told her mother that 1 whole is the same as 2/2 and 6/6. Her mother asked why, but Claire couldn't explain. Use a number line and words to help Claire show and explain why. 1 = 2/2 = 6/6.
What is the measure of ABC
Answer:
63
Step-by-step explanation:
angle abc =half of arc DE + half of arc AC
I need help hurry!!!!
Answer:
none of the above is a pythagorean triple
Identify the range of the following data set.
20, 22, 58, 48, 32, 20, 23
what is the distance of 120 and -5 on a number line
Answer:
the distance between-5 to 120 on a number line is 124
help due tonight.. *no links please*
Answer:
supplementary angle = angle 2 and angle 3
vertical angle = angle 2 and angle 4
hope it helps
please help me asap!
Answer:
1. AC=EC=120 ft
2. Given as perpendicular
3. BC=CD
4. Perpendicular means 90° from the bridge
5. Area of Triangle same
The seventh-grade class needs to earn money for a trip to the amusement park. Of the 160 seventh-grade students, 60% participate in the fundraiser. How many students participate in the fundraiser?
We can use the formula: is/of = %/100.
% = 60
of = 160
[tex]\frac{x}{160}=\frac{60}{100}[/tex]
100x = 9600
x = 96
96 students participated in the fundraiser.
Fill in the missing parts. Then determine which bowl contains more sodium.
Soup A
Sodium(mg) 720
Ounces 6 1
Soup B
Sodium(mg) 600
Ounces 4 1
Which bowl contains more sodium per ounce? ( A or B)
Answer:
Soup B
Step-by-step explanation:
Given :
Soup A:
Sodium(mg) 720
Ounces 6 1
Soup B :
Sodium(mg) 600
Ounces 4 1
To Obtian the amount of sodium per ounce in each of soup A and B
Soup A :
Sodium per ounce = 720 mg / 61 = 11.803 mg / ounce
Soup B:
Sodium per ounce = 600 mg / 41 = 14.634mg / ounce
Hence. SOUP B contains more soudiun per ounce
Fran baked 12 lemon tarts for her son, Bob. He gobbled up 4 tarts. What fraction of lemon tarts did bob eat?
Answer:
One third or 1/3
Step-by-step explanation:
Buteyko method, scope of inference. Exercise introduces a study on using the Buteyko shallow breathing technique to reduce asthma symptoms and improve quality of life. As part of this study 600 asthma patients aged 18-69 who relied on medication for asthma treatment were recruited and randomly assigned to two groups: one practiced the Buteyko method and the other did not. Those in the Buteyko group experienced, on average, a significant reduction in asthma symptoms and an improvement in quality of life.
(a) Identify the population of interest and the sample in this study.
(b) Comment on whether or not the results of the study can be generalized to the population, and if the findings of the study can be used to establish causal relationships.
If the students in this sample can be considered representative of the population of interest, then the results___, _____generalizable. Additionally, since the study is____, _____the findingss____, _____be used to establish causal relationships.
WAY to much to read,thanks for the points and have a good day
How many six letter passwords can be made using the letters a through Z if repetition of letters is allowed
Answer:
308915776 six-letter passwords are possible with repetitions
Step-by-step explanation:
Since repetition is allowed, this means there are 26 possible choices for the first letter of the password, 26 possible choices for the second letter of the password, and so on until the sixth letter.
This can be represented as 26^6=308915776
With repetition 26⁶ passwords can be formed using the letters A to Z taken six at a time.
What are permutation and combination?A permutation is an arrangement of things where order matters, AB and BA are two different permutations.
The combination is a selection of things where order does not matter, AB and BA are the same combinations.
Given, The six letter passwords are formed using the letters A through Z
with repetition is Nⁿ, Where N is the total number of letters and n is is the number of letters taken at a time.
Therefore it would be,
= 26⁶ passwords.
learn more about permutation and combination here :
https://brainly.com/question/28720645
#SPJ2
Collect like terms and then arrange them in descending order.
- 4x + 8x? - 2x + 3x? + 1
Answer:
i think the answer is 5x+1 that how i was taught srry if its wrong
Find P(4).
A 1/8
B 1/4
C 1/2
Rick kept track of wins and losses for each game attempt in the following table.
Game Number of Wins Number of Losses
Get-It-Rolling (A) 26 173
Bag-of-Tokens (B) 54 141
Pick-Your-Tile (C) 17 175
Select the correct statement.
A.
The results from both game A and game C align closely with the theoretical probability of winning those games, while the results from game B do not.
B.
Only the results from game B align closely with the theoretical probability of winning that game.
C.
Only the results from game A align closely with the theoretical probability of winning that game.
D.
The results from both game B and game C align closely with the theoretical probability of winning those games, while the results from game A do not.
Answer:
The results from both game A and game C align closely with the theoretical probability of winning those games, while the results from game B do not.
Step-by-step explanation:
Given the data:
Game Number of Wins Number of Losses
Get-It-Rolling (A) 26 173
Bag-of-Tokens (B) 54 141
Pick-Your-Tile (C) 17 175
EXPERIMENTAL PROBABILITY:
Game A :
Number of games played = 26 + 173 = 199
Experimental probability :
Probability of winning = number of wins / number of games played = 26 / 199 = 0.1306
Theoretical probability :
1 / 8 = 0.125
Game B :
Number of games played = 54 + 141 = 195
Experimental Probability of winning = number of wins / number of games played = 54 / 195 = 0.2769
Theoretical probability = 1 / 7 = 0.1429
Game C :
Number of games played = 17 + 175 = 192
Experimental Probability of winning = number of wins / number of games played = 17 / 192 = 0.0885
Theoretical probability = 1 / 12 = 0.08333
From the results, we can see that the results from both game A and game C align closely with the theoretical probability of winning those games.
Choose all that are true. A square is a
find the volume of a figure. Use 3.14 for pi and round to the nearest hundredth, if necessary
9514 1404 393
Answer:
1487.31 yd³
Step-by-step explanation:
The volume of the composite figure is the sum of the volumes of a hemisphere of radius 7 yd, and a cylinder of the same radius and height 5 yd.
The volume of a sphere is 4/3πr³. The volume of a hemisphere is half that.
The volume of a cylinder is πr²h.
The total volume of this figure is ...
V = (2/3)πr³ + πr²h
V = πr²(2/3r +h)
V = (3.14)(7 yd)²(2/3·7 yd +5 yd) = 3.14·49·29/3 yd³ ≈ 1487.31 yd³
The volume of the figure is about 1487.31 yd³.
Answer:
4187.31 yd³ is thr volume of a fugure
She starts at 37.
She makes a 10 by jumping 3 to 40.
Then she jumps 4 more to 44
Which equation did Kayleigh solve?
A. 37 - 7 = 30
B. 37 + 7 = 44
C. 37 + 3 = 40
D. 37 + 4 = 41
Answer:
B. 37 + 7 = 44
Step-by-step explanation:
If she jumps 4 more after jumping 3 to 40, means it's 4 + 3 = 7 and it reaches 44.
Which of these CAN be a probability of an event. CHOOSE ALL THAT APPLY!*
1.) 0.348483
2.) 1.01
3.) -1
4.) 0.99
5.) 0
6.) -0.5
Answer:
0, 0.99 and 0.348483 ( options 5, 4 & 1 )
Step-by-step explanation:
Probability of an event is between 0 & 1, including 0 & 1.
(3/4)(-4/3) = 0
True or False
Answer:
False
Step-by-step explanation:
(3/4)(-4/3)=-3/2
Answer:
true
Step-by-step explanation:
your welcome
Read each problem and decide what operation you
use to evaluate it. Then write the equation and solve
D1. The area of a rectangle is 14. sq cm
and one side is 4 cm. How long is the
other side?
Answer:
b = 3.5 cm
Step-by-step explanation:
Given that,
The area of a rectangle, A = 14. sq cm
The length of one side, l = 4 cm
We need to find the length of another side. The formula for the area of a rectangle is given by :
A = lb
So,
[tex]14=4b\\\\b=\dfrac{14}{4}\\\\b=3.5\ cm[/tex]
So, the length of the other side is equal to 3.5 cm.
Solve for x.
5(x + 1) = 4(X + 8)
Ox= 37
Ox=7
Ox=27
Ox=17
Help please
Answer:
27
Step-by-step explanation:
Plsss this is timed!
Answer:
c i think ???
Step-by-step explanation:
Find the slope of the line through the two points. (3, 7) and (4, 9)
Answer:
2
Step-by-step explanation:
m=(y2-y1)/(x2-x1)
m=(9-7)/(4-3)
m=2/1
m=2
The prices (in dollars) for a particular model of digital camera with 6.0 megapixels and an optical 3X zoom lens are shown below for 10 online retailers. Estimate the true mean price for this particular model with 93% confidence. Assume the variable is normally distributed. Use a graphing calculator and round the answers to at least one decimal place.
225 236 217 202 231 185 193 185 245 217
Solution :
Let [tex]$x_i$[/tex] represents the prices for the digital camera.
[tex]$x_i$[/tex] [tex]$x_i^2$[/tex]
225 50625
236 55696
217 47089
202 40804
231 53361
185 35225
193 37249
185 34225
217 47089
[tex]$\sum x_i = 2136$[/tex] [tex]$\sum x_i^2 = 460388$[/tex]
Mean, [tex]$(\overline X) = \frac{\sum x_i}{n}$[/tex]
[tex]$=\frac{2136}{10}$[/tex]
= 213.6
Variance, [tex]$\sigma^2 = \frac{\sum x_i^2}{n}-(\overline X)^2$[/tex]
[tex]$ = \frac{460388}{10}-(213.6)^2$[/tex]
= 46038.8 - 45624.96
= 413.84
Therefore, standard deviation,
[tex]$\sigma = \sqrt{Var}$[/tex]
[tex]$=\sqrt{413.84}$[/tex]
= 20.343
Now to find the 93% confidence interval, the formula us
[tex]$(\overline X)\pm (z) \times \frac{\sigma}{\sqrt{n}}$[/tex]
For 93%, the value of z is 1.81
∴ Confidence interval = [tex]$(\overline X)\pm (z) \times \frac{\sigma}{\sqrt{n}}$[/tex]
C.I. = [tex]$213.6\pm 1.81 \times \frac{20.343}{\sqrt{10}}$[/tex]
[tex]$=213.6 \pm 11.6438$[/tex]
Therefore, lower bound = 213.6 - 11.6438
= 201.9562
Upper bound = 213.6 + 11.6438
= 225.2438
∴ [tex]$201.9562 < \mu < 225.2438$[/tex]
or [tex]$202< \mu < 225.2$[/tex]
10 POINTS FOR THE CORRECT ANSWER PLEASE HELP
Answer:
Step-by-step explanation:
The Pythagorean theorem says:
[tex]a^2+b^2=c^2[/tex]
where a and b are the two legs of the triangle and c is the hypotenuse. Here, let's say a = 6 and b = [tex]\sqrt{13}[/tex]. We then get the following equation:
[tex]c^2= (6)^2+(\sqrt{13})^2=49[/tex]
So c = 7. Technically, c can also equal -7 since (-7)^2 = 49 as well but that does not apply here because a side length cannot be <0. So 7 is the answer.
someone please help me answer this!!1
Answer:
b = 9m is the answer.
Step-by-step explanation:
a = 12m
b = ?
c = 15m
According to the Pytagorean theorem,
a² + b² = c²
12² + b² = 15²
144 + b² = 225
b² = 225 - 144
b² = 81
b = 9
∴ The slide is 9m away from the monkey bars.
Find the area of the region (CALCULUS HELP I WILL VOTE BEST ANSWER)
I'm not sure what is meant by "partitioning the x-axis" - partition is a term more often used with computing Riemann sums. So either partitioning has a special meaning for you, or you have to approximate the area with a Riemann sum.
I'm going to assume you just want the exact area of the given region. Notice that the two curves y = 4e ˣ and y = -x + 4 intersect when x = 0 at the point (0, 4). Both curves then meet the vertical line x = 4. The exponential function is increasing while the linear one is decreasing, so 4e ˣ ≥ -x + 4.
The region is then the set of points,
R = {(x, y) | 0 ≤ x ≤ 4 and -x + 4 ≤ y ≤ 4e ˣ}
so the area is given by the integral,
[tex]\displaystyle\int_0^4 (4e^x-(-x+4))\,\mathrm dx=\int_0^4(4e^x+x-4)\,\mathrm dx=\left(4e^x+\frac{x^2}2-4x\right)\bigg|_0^4=\boxed{4e^4-12}[/tex]