Answer:
"2.82" seems to be the correct solution.
Step-by-step explanation:
As we know,
A bag (Bag A) contains,
Red balls = 3
Blue ball = 1
A second bag (Bag B) contains,
Red balls = 1
Blue ball = 1
Now,
⇒ P(Bag A, red ball) = [tex]P(A)\times P(r)\times P(r)[/tex]
On substituting the values, we get
⇒ = [tex]\frac{1}{2}\times \frac{3}{4}\times \frac{2}{3}[/tex]
⇒ = [tex]\frac{1}{4}[/tex]
Similarly,
Probability of second bag will be:
⇒ P(Bag B) = [tex]\frac{1}{2}[/tex]
hence,
In the first bag (Bag A), the expected number of red balls will be:
⇒ [tex]E(n)=\Sigma P(n)\times n[/tex]
On substituting the values, we get
⇒ [tex]=3 (\frac{1}{4})+2(\frac{1}{8} )+4(\frac{1}{24} )+3(\frac{1}{12} )+3(\frac{4}{20} )+4(\frac{1}{20} )+2(\frac{3}{20} )+\frac{2}{20}[/tex]
⇒ [tex]= \frac{169}{60}[/tex]
⇒ [tex]=2.82[/tex]
A(5, 23) and B(-2, 2) are two points.
(a) Find the co-ordinates of the midpoint of the line AB.
Answer:
The midpoint of (5,23) and (-2,2) is (3/2,25/2)
hope that helps
Step-by-step explanation:
Check attachment below
Answer:
[tex]170[/tex]
Step-by-step explanation:
The angle 42x+1 is the inscribed angle of Arc WX. This means Arc WX is twice of 42x+1.
[tex]wx = 2(42x + 1)[/tex]
We can add up that and the other arcs to 360.
[tex]2(42x + 1) + 29x - 1 + 65x + 3[/tex]
[tex]84x + 2 + 29x - 1 + 65x + 3 = 360[/tex]
[tex]178x + 4 = 360[/tex]
[tex]178x = 356[/tex]
[tex]x = 2[/tex]
Plug in 2 for WX.
[tex]84(2) + 2 = 170[/tex]
The International Coffee Association has reported the mean daily coffee consumption for U.S. residents as 1.65 cups. Assume that a sample of 38 people from a North Carolina city consumed a mean of 1.84 cups of coffee per day, with a standard deviation of 0.85 cups. In a two-tail test at the 0.05 level, could the residents of this city be said to be significantly different from their counterparts across the nation?
Answer:
The calculated value t = 1.3788 < 2.0262 at 0.05 level of significance
the null hypothesis is accepted
There is no significant difference between their counterparts across the nation
Step-by-step explanation:
Step(i):-
Given that the mean of the U.S residents = 1.65
Given that the size of the sample 'n' = 38
Mean of the sample = 1.84
Given that the standard deviation of the sample (S) = 0.85
Step(ii):-
Null hypothesis:H₀:
There is no significant difference between their counterparts across the nation
Alternative Hypothesis:-H₁:
There is a significant difference between their counterparts across the nation
Test statistic
[tex]t = \frac{x^{-} -mean}{\frac{S}{\sqrt{n} } }[/tex]
[tex]t = \frac{1.84-1.65}{\frac{0.85}{\sqrt{38} } }[/tex]
t = 1.3788
Degrees of freedom
ν = n-1 = 38-1 = 37
t₀.₀₅ ,₃₇ = 2.0262
The calculated value t = 1.3788 < 2.0262 at 0.05 level of significance
Null hypothesis is accepted
Final answer:-
There is no significant difference between their counterparts across the nation.
a theater has 49 seats in the first row, 52 seats in the second row, 55 seats in the third row, and so on. how many seats are there in row 20
Answer:
106
Step-by-step explanation:
this question represents an arithmetic sequence problem where you can use this formula: a(n) = a(1) + d(n-1) where 'n' is value you're solving for, a(1) is the initial value, and 'd' is the common difference
a(20) = 49 + 3(20-1)
= 49 + 3(19)
= 49 + 57
= 106
WILL NAME BRAINLIST PLEASE
Use the table to write a linear function that relates y to x . PLEASE NO HACKERS
y=
Answer:
answer: y+2/3x+5
Step-by-step explanation:
because
A grain dealer sold to one customer 5 bushels of wheat, 2 of com, and 3 of ryo, for $228: to another, 2 of wheat, 3 of corn, and 5 of ryo, for $228, and to a third, 3 of wheat, 5 of com, and 2 of rye, for $228. What was the price per bushel for com?
Answer:
2.30 :) hope this helps!!!!!!! :)
Step-by-step explanation:
w = wheat c = corn r = rye
6w + 3c + 6r = 45.90
3w + 6c + 6r = 49.20
6w + 6c + 3r = 41.40
since you want the answer for c, manipulate then add 2 equations that will get rid of 1 variable:
if we multiply the first equation by -1 then add it to the second equation, it will eliminate the r
-6w - 3c - 6r = - 45.90
3w + 6c + 6r = 49.20
------------------------------------
- 3w +3c = 3.30 or w - c = - 1.10
If we multiply the 3rd equation by -2 then add it to the first equation, it will eliminate the r again:
-12w - 12c - 6r = - 82.80
6w + 3c + 6r = 45.90
------------------------------------------
- 6w - 9c = - 36.90 or 2w + 3c = 12.30
now we have 2 equations and 2 variables that we can solve by substitution:
w = c - 1.10
2(c - 1.10) + 3c = 12.30
2c - 2.20 + 3c = 12.30
5c = 14.50
c = 2.90
w = c - 1.10 or 1.80
3r = 41.40 - 6(1.80) - 6(2.90)
3r = 13.20 r = 4.40
I will pick the 2nd equation to check my answers :)!
3(1.80) + 6(2.90) + 6(4.40) = 49.20
5.40 + 17.40 + 26.40 = 49.20
As per linear equation, the price per bushel for corn is $22.8.
What is a linear equation?A linear equation is an equation that has one or multiple variable with the highest power of the variable is 1.
Given, a grain dealer sold to one customer 5 bushels of wheat, 2 of corn, and 3 of rye, for $228.
To another customer, he sold 2 of wheat, 3 of corn, and 5 of rye, for $228.
To a third customer, 3 of wheat, 5 of corn, and 2 of rye, for $228.
Let, per piece of wheat is of $x.
Per piece of corn is of $y.
Per piece of rye is of $z.
Therefore, 5x + 2y + 3z = 228 ....(1)
2x + 3y + 5z = 228 .........................(2)
3x + 5y +2z = 228 ..........................(3)
Multiplying equation(1) by '2' and equation(2) by '5' and substract, we get:
2(5x + 2y + 3z) - 5(2x + 3y + 5z) = 2(228) - 5(228)
⇒ (10x + 4y + 6z) - (10x + 15y + 25z) = - 3(228)
⇒ (- 11y - 19z) = - 684
⇒ 11y + 19z = 684 ......(4)
Multiplying equation(2) by '3' and equation(3) by '2' and substract, we get:
3(2x + 3y + 5z) - 2(3x + 5y +2z) = 3(228) - 2(228)
⇒ (6x + 9y + 15z) - (6x + 10y + 4z) = 228
⇒ - y + 11z = 228 .......(5)
Now, multiplying equation(5) by '11' and then add with equation (4), we get:
11y + 19z + 11(- y + 11z) = 684 + 11(228)
⇒ 140z = 3192
⇒ z = 22.8
Putting the value of 'z' in equation (5) we get:
- y + 11(22.8) = 228
⇒ y = 22.8
Now, putting the values of 'y' and 'z' in equation (1), we get:
5x + 2(22.8) + 3(22.8) = 228
⇒ 5x = 114
⇒ x = 22.8
Learn more about linear equation here: https://brainly.com/question/22990272
#SPJ3
An item sells for $40. The sales tax on
the item is 8%. What is the sales tax and
total cost?
Answer:
$43.20 total
$3.20 sales tax
Explication:
40*1.08=43.2
Answer:
sales tax = $3.20
total cost = $43.20
Step-by-step explanation:
To calculate the sales tax on an item, multiply the price of the item by the tax percent in decimal form. To convert a percent to decimal form, divide the percent by (100).
Sales tax percent: 8%
In decimal form: 0.08
Multiply the sales tax in decimal form by the price of the item to find out the sales tax amount,
(item_price) * (sales_tax)
= (40) * (0.08)
= 3.2
Sales tax amount: $3.20
To find the total cost of the product, add the sales tax amount to the item price,
(item_price) + (sales_tax_amount)
= 40 + 3.20
= 43.20
HELPPP What is the percent of change from 0.36 to 1.19?
Answer:
330.555556%
Step-by-step explanation:
1.19/.36=3.3305555555555555555555555555
therefore it is 330.5555%
PLEASE HELP ME 20 POINTS FIR THE CORRECT ANSWER
Answer:
AC ≈ 11 cm
Step-by-step explanation:
i used the pythagorean theorem twice . . .
1st was with ΔCED:
EC² + 7² = 8²
EC² = 64-49
EC = √15
2nd was with ΔAED:
AE² + 7² = 10²
AE² = 100-49
AE = √51
√51 + √15 ≈ 11
An independent-samples t test was conducted to compare high-altitude exercise to exercise at sea-level. Imagine the mean comfort level of participants, rated on a 7-point scale where high values reflect high comfort, at high altitude was 3.5 while the average at sea-level was 5.1. Imagine also that values were calculated for sdifference of 1.1, 2.04 for pooled variance, and 35 for degrees of freedom total. What are the critical cutoffs for this test
Answer:
-2.03, 2.03
Step-by-step explanation:
The degree of freedom (df) ;
Df total for the two samples = 35
Therefore, obtuaking the critical value using a T-test distribution at 95% confidence level.
(1 - 95%) / 2 = (1 - 0.95) / 2 = 0.05 / 2 = 0.025
Using a T critical value calculator or t table distribution ;
Tcritical, 0.025, df = 35 = 2.03
Left tail = - 2.03
Right = 2.03
Hence, critical cutoff :
(-2.03 ; 2.03)
Mr. Brown has 1/4pan of lasagna left in the refrigerator. He wants to cut the lasagna into equal slices so he can have it for dinner for 3 nights. What fraction of the whole lasagna will he eat each night?
Answer:
1/12
Step-by-step explanation:
He has a 1/4 pan left and wants to divide that into 3 equal pieces. So in night he will eat 1/3 of what he has left from the 1/4 pan. To figure out how much one slice is from an entire pan:
1/4 * 1/3 = 1/12
Please help me thanks
Answer:
11/13
Step-by-step explanation:
4 out of the 26 marbles are blue, meaning that the rest of the 22 marbles are not blue. (26-4=22)
This means that out of the total 26, the chance of not picking a blue marble are 22/26=11/13
sam bought 4kg of red apples some yellow apples and 3 kg of green apples she bought a total of 9,000 whats the mass of the yellow apples
I WILL GIVE BRAINLIEST!!! In ABC, m∠A=10 and m∠B=145. Select the triangles that are similar to ABC.
Answer:
See Explanation
Step-by-step explanation:
Given
[tex]\triangle ABC[/tex]
[tex]\angle A = 10[/tex]
[tex]\angle B = 145[/tex]
Required
Similar [tex]\triangle[/tex] to [tex]\triangle ABC[/tex]
The question is incomplete as the other triangles to make comparison from, are not given.
However, general information that could help you are as follows.
The given parameters show that we have to consider AA criterion for selecting similar triangles.
So, you need to check the [missing] given triangles, and pick any that have 10 and 145 (in that particular order) as measures of two of its angles.
Take for instance.
[tex]\triangle DE\ F[/tex]
Where
[tex]\angle D = 10[/tex]
[tex]\angle E = 145[/tex]
See that:
[tex]\angle D = 10[/tex] is similar to [tex]\angle A = 10[/tex]
[tex]\angle E = 145[/tex] is similar to [tex]\angle B = 145[/tex]
This means that:
[tex]\triangle DE\ F[/tex] is similar to [tex]\triangle ABC[/tex] by AA
Answer:
The answer is the 10 degrees on and 25 degreees
Step-by-step explanation:
AP EX
find the volume of a box whose length breadth and height are 28 CM 18 cm and 10cm respectively
I will mark them as brainlists all the best
-8(n-5)= -2(4n+11)
SOMEONE PLEASE SOLVE IT PLEASEEEE
Answer:
Use papa math
Brainliest for correct answer asap
Answer:
D
Step-by-step explanation:
please help me i really need help please i really need help please
Answer:
(-1,-2)
Step-by-step explanation:
For a point (a,b) rotated 90° counterclockwise about the origin, it's new coordinates are (-b,a).
So since C is originally (-2,1), it's new coordinates are (-1,-2)
Charlotte is making 20 flower bouquets 4/5 of the bouquet are daisies and the rest are tulips how many bouquets are tulips
Answer:
4 bouquets
Step-by-step explanation:
5/5 = 20 flower bouquets.
Find out how much flower bouquets there are when it's 1/5.
5/5 = 20
1/5 = 20 ÷ 5 = 4
Since tulips are 1/5 as 5/5 - 4/5 = 1/5, 4 bouquets are tulips.
Which best describes an angle?
A. Two distinct rays that originate from a common point
B. Two parallel lines on a plane
C. The set of all points equidistant from a particular point
D. A line with a starting point that extends to infinity
Will give to the brainliest!!
Find the exact value of the expression cos-1(1/2)
Answer:
60
Step-by-step explanation:
Plug it into the calculator
You are ordering a cake for your brother's birthday. You must choose between vanilla, chocolate or marble cake. You must choose between
buttercream or chocolate frosting. Finally you must choose between a cake with a 4-inch radius, 6-inch radius, 9-inch radius, or 12-inch radius. How
many difference cake options are there?
Answer:
24 different options
Step-by-step explanation:
3 cake type options
2 frosting options
4 radius sizes
3 * 2 * 4 = 24 different options
pls help me forgot how to do this
find the value of x
Answer:
Step-by-step explanation:
oto begin you should know that all triangles contain 180 degrees and that a flat line contains 180 degrees as well. This means that in order to find this answer you should begin by calculating the remianing angle in the traingle. This is done by 180-(95+51) and gives and angle of 34 degrees. Then take 180-(95+35) in order to get x. This gives an x of 51.
Hope this helps!
Answer:
146°
Step-by-step explanation:
1) 180-51-95 = 34 All the angles in a triangle add up to 180.
2) A straight line is 180, so x = 180 - the interior angle.
3) We figured out in step #1 that the interior angle is 34, so all we have to do now is substitute that into step #2
4) x = 180-34 = 146
Which of the following statistics is used to measure inflation?
Answer:
.....................
Step-by-step explanation:
As an economic indicator. The CPI is the most widely used measure of inflation and is sometimes viewed as an indicator of the effectiveness of government economic policy.
Can someone help me please? I forgot how to do this
Answer:
90°-33°=57°
57=2x+1
-1. -1
56=2x divide both sides by 2
28=x
x =28
Answer:
x = 28
Step-by-step explanation:
Both of these would add up to 90 degrees.
Equation → 2x + 1 + 33 = 90
Add like terms → 2x + 34 = 90
Subtract both sides by 34 → 2x + 34 - 34 = 90 - 34
Divide both sides by 2 → 2x = 56
→ x = 28
hope this helps! :)
Which of the following ratios are equivalent?
O A. 5:7 and 10:12
O B. 2:3 and 12:20
O C. 6:7 and 18:21
O D. 8:9 and 32:27
Answer:
:::::::::
C. 6:7 = 18:21
answer: it is C
Step-by-step explanation:
6 = 18 because 6 times 3 is 18. And 7 times 3 = 21. so they are both equivalent.
hope it helps :)
1/5 x 3/8 x (-5) as a fraction in simplest form
Answer:
-3/8
Step-by-step explanation:
nothing can be simplified further
Plsss help mark brainlist
Answer:
17
Step-by-step explanation:
34 / 2 = 17
Plss help mart brain list
Answer:
X=14
Step-by-step explanation:
Hope this helps , good luck ^^
What is the measure of angle XYZ?
Answer:
D
Step-by-step explanation:
D
[tex]angle \: xyz = \frac{1}{2} arc \: xz[/tex]