Answer:
10
Step-by-step explanation:
The probability of getting a sample without any defect is 1 / 6.
What is probability?Probability is defined as the ratio of the number of favourable outcomes to the total number of outcomes in other words the probability is the number that shows the happening of the event.
Probability = Number of favourable outcomes / Number of sample
Given that a quality control engineer inspects a random sample of 3 batteries from each lot of 24 car batteries that are ready to be shipped.
Total batteries = 24
Total non-defective batteries = 24 - 6 = 18
Probability = Number of favourable outcomes / Number of sample
Probability = 3 / 18
Probability = 1 / 6
Therefore, the probability of getting a sample without any defect is 1 / 6.
To know more about probability follow
https://brainly.com/question/24756209
#SPJ2
Rainwater is collected in a large pool. After a significant rainstorm, the pool contains
3 3/4 gallons of water. The sun came out after the rain ended. Within a couple of hours, 1/6 of the water collected in the pool evaporated. What value represents the change in the amount of water in the pool? Enter your answer as a simplified fraction in the box.
Answer:
3 1/8
Step-by-step explanation:
3 3/4 and 1/6 percent of the water evaporated
3 3/4 as a inproper fraction 15/4
15/4 * 1/6= 15/24 = 5/8
so we have to subtract 5/8 from 15/ 4
15/4*2/2= 30/8
30/8-5/8= 25/8
Answer:
3 1/8
Step-by-step explanation:
15. In his piggy bank, Neil has three times as many dimes as nickels and he has four more quarters than nickels. The coins total $4.60. How
many of each coin does he have?
10 quarters 6 nickels 18 dimes
Which one is the one?
Answer:
yes because are slopes are the same
0.28÷0.007please answer me
Answer:
40
Step-by-step explanation:
0.28÷0.007
=280÷7
=40
_________
[tex] \: [/tex]
0,28 ÷ 0,007 = ...
[tex] = \frac{28}{100} \div \frac{7}{1.000} [/tex]
[tex] = \frac{28}{100} \times \frac{1.000}{7} [/tex]
[tex] = \frac{28.0 \cancel{00}}{7 \cancel{00}} [/tex]
[tex] = \frac{280}{7} [/tex]
[tex] \longmapsto \boxed{ \bold{ \red{40}}}[/tex]
What is the second term in the binomial expansion of (2x−3y)12 ?
Recall the binomial theorem:
Group of answer choices
73728x11y1
−73728x11y
−608256x10y2
608256x10y2
The option that gives the correct value of the second term is;
Option B; -73728x¹¹y
We are given the expression;
(2x - 3y)¹²
Now we want to find the second term using binomial expansion.
In binomial theorem, we have the following expressions;(x + y)² = x² + 2xy + y²
(x - y)³ = x³ - 3x²y + 3xy² + y³
(x - y)⁴ = x⁴ - 4x³y + 6x²y² - 4xy³ + y⁴
(x - y)¹² = x¹² - x¹¹y + x¹⁰y² - x⁹y³ + ....
Now applying this same system above to our question gives us;
(2x - 3y)¹² = 4096x¹² - 73728x¹¹y + 608256x¹⁰y² - 3041280x⁹y³ + ........
Thus, our second term here is; -73728x¹¹y
In conclusion, the correct option that gives the second term is Option B.
Read more at; https://brainly.com/question/24102756
Can someone please help as I'm not sure how to tackle this step by step? Especially question b, d, g, j, k, l. Not how sure to do it if contains a surd just on its own.
Step-by-step explanation:
√a = 1√a so we can solve them easily:
b) 3√7 -√7= 3√7 - 1√7 =( 3-1)√7= 2√7
d) 5√6 - 2√6+√6= (5-2+1)√6 = 4√6
g) √2+2√2= 3√2
j) √5+5√5 - 3√5 = 3√5
k) 2√3 + √3 - 5√3= -2√3
I) 5√11 + 7√11 - √11 = 11√11
6846 is shared equally between 7 people how much does each person get?
Answer:
978
explanation is a calculator
A rectangles has a length 2 ft less than three times its width what is the area of the rectangle when its width is 2 ft
Answer:
8
Step-by-step explanation:
rectangle length is 2-3w
w=2
3 x 2=6 - 2=4
l x w
4 x 2 =8
HELP POINTS FOR Each answEr quantity 4 times x plus 3 end quantity divided by 5 equals quantity 8 times x minus 1 end quantity divided by 9.
[tex]\displaystyle \frac{4x+3}{5} ^{/9}=\frac{8x-1}{9} ^{/5} \\\\\\ 36x+27=40x-5 \\\\ 40x-36x=27+5\\\\ 4x=32 \\\\ \boxed{x=8 }[/tex]
Step-by-step explanation:
Given fractional expression:
(4x+3)/5 = (8x-1)/9
By doing cross multiplication, we get
⇛4x(9) + 3(9) = 8x(5) - 1(5)
⇛36x + 27 = 40x - 5
Now, combine the like terms in one side.
⇛27x - 40x = -5 + 36
⇛-13x = 31
⇛x = 31/-13 Ans.
rounding 615×38 to 1 significant figure estimate
Answer:
24,000
Step-by-step explanation:
615 ≈ 600
38 ≈ 40
600 × 40 = 24,000
Therefore, 615 × 38 ≈ 24,000
1/3 x 2/5 in simplest form
Answer:
2/15
Step-by-step explanation:
1/3 x 2/5
= ( 1 x 2 ) / ( 3 x 5 )
= 2/15
Answer:
2/15
Step-by-step explanation:
1/3*2/5
(1*2)/(3*5)
2/15
64 hundredths + 8 hundredths add decimals
Answer:
0.72
Step-by-step explanation:
64 hundredths= 0.64
8 hundredths= 0.08
0.64 + 0.08 = 0.72
Answer:
.72
Step-by-step explanation:
You just add 64 and 8 (equal to 72) and make sure it's in the hundredths (.00) Hope this is helpful.
Choose the system for this graph
9514 1404 393
Answer:
C
Step-by-step explanation:
Judging by the answers, the lines have slopes of 7/3 and 2/5. (We could verify this by close examination of the graph.) The shading is above (greater than) the line with the smaller slope value (2/5), and below (less than) the line with the steeper slope value (7/3).
That means we're looking for a pair of inequalities with the symbols ...
y ≥ 2/5x ...
y ≤ 7/3x ...
This combination is found in choice C.
4. Find PQ. N Р 5x + 16 S R 9x - 32 Q
Answer:
76
Step-by-step explanation:
PQRS is a Rhombus.
Property of Rhombus : -
All sides are equal.
So,
PQ = QR = RN = NP
RN = 5x + 16
QR = 9x - 32
QR = RN
5x + 16 = 9x - 32
9x - 32 = 5x + 16
9x - 5x = 16 + 32
4x = 48
x = 48 / 4
x = 12
Substitute x = 12 in RN,
RN = 5x + 16
= 5 ( 12 ) + 16
= 60 + 16
RN = 76
Since,
PQ = QR = RN = NP
Therefore,
PQ = 76
The carpet costs $2.59 per square foot, and sales tax is 7.5%. What is the total cost of the carpet? (Round to two decimal places as usual.)
let H be the altitude from vertex C. Which proves the first equality in the law of sines
The sine law of triangles can be proved by dividing the triangle into right-triangles.
Option (c) proves the first equality in the law of sines
From the question, we have:
h equals to the distance from point C to segment AB
The sine of angle is:
[tex]\mathbf{sin(\theta) = \frac{Opposite}{Hypotenuse}}[/tex]
For angle at A, we have:
[tex]\mathbe{\theta = A}[/tex]
[tex]\mathbf{Hypotenuse = b}\\\mathbf{Opposite = h}[/tex]
So, we have:
[tex]\mathbf{sin(\theta) = \frac{Opposite}{Hypotenuse}}[/tex]
Substitute values for Opposite, Hypotenuse and theta
[tex]\mathbf{sin A = \frac{h}{b}}[/tex]
Similarly
[tex]\mathbf{sin B = \frac{h}{a}}[/tex]
Make h the subject
[tex]\mathbf{h = a\ sinB}[/tex]
Substitute [tex]\mathbf{h = a\ sinB}[/tex] in [tex]\mathbf{sin A = \frac{h}{b}}[/tex]
[tex]\mathbf{sin A = \frac{a\ sinB}{b}}[/tex]
Divide both sides by a
[tex]\mathbf{\frac{sin A}{a} = \frac{sinB}{b}}[/tex]
Hence, the correct option is (c).
Read more about proof of sine law at:
https://brainly.com/question/4637169
HELPPP
Indicate the equation of the given line in standard form, in the equation box below.
The line through (2, –1) and parallel to a line with slope of 3/4.
Please help as soon as possible :))
Answer:
x=45 y=60
Step-by-step explanation:
the picture is kinda blurry but if im seeing it correctly its ^^^
Does anyone know how to do multiple in fractions like for a example 1/12•1/3? Please explain step by step
[tex] \frac{1}{12} \times \frac{1}{3} \\ = \frac{1 \times 1}{12 \times 3} \\ = \frac{1}{36} [/tex]
When you want to multiply 2 fractions, merge the fractions together & then multiply the numerator first & then the denominator. After that, simplify to the lowest form if possible.What is the coefficient in the expression - X + 21?
Answer:
there are no like terms
Step-by-step explanation:
-x + 21 = -x + 21
-2/3,0.6,3/4,-7/4,0,3 from least to greatest
Answer:
-7/4 < -2/3 < 0 < 0.6 < 3/4 < 3
Step-by-step explanation:
Can you help me
algebra 1
See the picture above for the solution.
253 19/26 rounded to the nearest ten
Answer:
250
Step-by-step explanation:
As a decimal 253 and 19/23 can be written as 253.73
If we think about 253.73 being closer to 250 or 260, we can see that it is closer to 250, so that is the nearest ten we will round to.
Even if it is too difficult to convert to a decimal, if we round 19/23 to 23/23, our number becomes 254. The nearest ten is still 250.
PLEASE HELP ITS MATH THANK YOUUUU
Answer:
8 millimeters 4x where x is 2 millimeters
find me < 7 and m < 8 pls
Answer:
∠8 is 105° and ∠7 is 75°
Step-by-step explanation:
Angles 4 and 8 are corresponding angles, and are congruent.
Angles 8 and 7 are a linear pair
what is the purpose of using measures of variability?
What is a pair of alternate interior angles?
Answer:
D. ∠2 and ∠8
Step-by-step explanation:
common sense lol
what is the answer to 12 divided by 51.6??? can i have an explanation to please if you guys don't mind??
Answer:
will u give the brainliest?
If a sum invested gains 10% each year how long will it be before it has doubled its
value?
Using an exponential equation, it is found that it will be 7.3 years before the value is doubled.
The equation for an increasing exponential function is given by:
[tex]A(t) = A(0)(1 + r)^t[/tex]
In which:
A(0) is the initial amount.r is the growth rate, as a decimal.In this problem:
Gains 10% each year, thus [tex]r = 0.1[/tex].The doubling time is t for which [tex]A(t) = 2A(0)[/tex], then:
[tex]A(t) = A(0)(1.1)^t[/tex]
[tex]2A(0) = A(0)(1.1)^t[/tex]
[tex](1.1)^t = 2[/tex]
[tex]\log{(1.1)^t} = \log{2}[/tex]
[tex]t\log{1.1} = \log{2}[/tex]
[tex]t = \frac{\log{2}}{\log{1.1}}[/tex]
[tex]t = 7.3[/tex]
It will be 7.3 years before the value is doubled.
A similar problem is given at https://brainly.com/question/23008760
Now when the spending multiplier is same as the one calculated in Q 4c and if there is a decrease in government purchases by $50,000. Calculate the change in AD. (Show your work)
Will AD increase or decrease?
Answer:
a. The real GDP increases by $200,000.
a. The real GDP increases by $150,000.
Step-by-step explanation:
a. What is the eventual effect on real GDP if the government increases its purchases of goods and services by $50,000?
Eventual effect on real GDP = Amount of increase in government spending * (1 /(1 - MPC)) = $50,000 * (1 / (1 – 0.75)) = $200,000
Therefore, the real GDP increases by $200,000.
a. What is the eventual effect on real GDP if the government, instead of changing its spending, increases transfers by $50,000?
Eventual effect on real GDP = (Amount of increase in government transfers * (1 /(1 - MPC))) - Amount of increase in government transfers = ($50,000 * (1 / (1 – 0.75))) - $50,000 = $150,000
Therefore, the real GDP increases by $150,000.