The true statements about the sample include:
The second sample is random.The second sample is likely to be more representative of the population.The second sample will give a better representation because is it larger.Community members are more likely to listen to the radio station an average of 12 hours a month than 20 hours a month.What is a sample?
Sampling is the selection of a subset of individuals from within a statistical population to estimate the characteristics of the whole population.
The second sample is random because in the second sample, people were surveyed at random. Every sixth person that exited the grocery store was surveyed and this selection represents an unbiased sampling method of the general population.
The options include:
Which statements are true? Check all that apply.
A) The second sample is random.
B) The second sample is likely to be more representative of the population.
C) The first sample is likely to be more representative of the population.
D) The second sample will give a better representation because is it larger.
E) The first sample will give a better representation because it is smaller.
F) Community members are more likely to listen to the radio station an average of 12 hours a month than 20 hours a month.
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What is the value of y when the value of x is 1?
Answer: y = 60
the value of y will be 60 when the value of x is 1.
Solution set = (1 , 60)
hope that helps...
A container holds 50 electronic components, of which 10 are defective. if 6 components are drawn at random from the container, the probability that at least 4 are not defective is . if 8 components are drawn at random from the container, the probability that exactly 3 of them are defective is .
Answer:
See below for answers and explanations
Step-by-step explanation:
Problem 1
We know that there's a probability of [tex]p=\frac{40}{50}=\frac{4}{5}=0.8[/tex] of choosing an electronic component that is not defective and a probability of [tex]q=\frac{10}{50}=\frac{1}{5}=0.2[/tex] of choosing an electronic component that is defective:
[tex]\displaystyle P(X\geq4)=P(X=4)+P(X=5)+P(X=6)\\\\P(X\geq4)=\binom{6}{4}(0.8)^4(1-0.8)^{6-4}+\binom{6}{5}(0.8)^5(1-0.8)^{6-5}+\binom{6}{6}(0.8)^6(1-0.8)^{6-6}\\\\P(X\geq4)=\frac{6!}{4!(6-4)!}(0.8)^4(0.2)^2+\frac{6!}{5!(6-5)!}(0.8)^5(0.2)^1+\frac{6!}{6!(6-6)!}(0.8)^6(0.2)^0\\ \\P(X\geq4)=0.90112[/tex]
So, if 6 components are drawn at random from the container, the probability that at least 4 are not defective is 0.90112
Problem 2
[tex]\displaystyle P(X=3)=\binom{8}{3}(0.2)^3(1-0.2)^{8-3}\\\\P(X=3)=\frac{8!}{3!(8-3)!}(0.2)^3(0.8)^5\\ \\P(X=3)\approx0.1468[/tex]
So, if 8 components are drawn at random from the container, the probability that exactly 3 are defective is 0.1468
The probability of exactly 3 of the containers being defective is given as 0.1468
What is probability?Probability can be defined as the ratio of the number of favorable outcomes to the total number of outcomes of an event.
here, we have,
to solve for the probability
We have to set p as the probability of container being non- defective
We have p as the probability of container being defective 50 - 10 = 40
p = 40/50
= 0.8
q = 10/50
= 0.2
P(3) = 8c3 * 0.2² * 0.8⁵
= 0.1468
Hence the probability that the container has exactly 3 defective containers is 0.1468
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Murat has 2/3 kg of rice that he wants to put into bags that contain 3/10 kg of rice each?
How many bags of rice can Murat fill?
Answer:
Murat can fill 6/13 kg of rice
Step-by-step explanation:
because it has 2/3 kg of rice and 3/10 each and I added 6+2 and 3+10 hope it makes your day
Answer: Murat can fill 6/13 kg of rice
3
Select the correct answer from each drop-down menu.
A function is a relation where each input value is assigned to
The
of a function is the set of all input valu
The
of a function is the set of all output val
To write the equation y= ax + b in function notation, substitut at least
exactly
less than
one output value.
es, for which the function is defined.
ues, for which the function is defined.
or y.
Nex
The range of a function is the set of all output values.
How to illustrate the function?A function is a relation where each input value is assigned to only one output value.
The domain of a function is the set of all input values, or x-values, for which the function is defined.
The range of a function is the set of all output values, or y-values, for which the function is defined.
To write the equation y = ax + b in function notation, substitute f(x) for y.
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Anyone mind helping me solve this inequality? Step by step
By decomposing the figure in simpler shapes, we will see that the total area is:
a = 180 cm²
How to find the area of the composite figure?
Remember that the area of a rectangle of width W and length L is:
A = L*W
And the area of a triangle with base B and height H is:
A = B*H/2.
Then, the upper part can be seen as a rectangle of length of 6cm and width of 6 cm, with two triangles on the sides, such that each triangle has a base of 3cm and a height of 6cm.
So the area of that part is:
A = 6cm*6cm + 2*(3cm*6cm/2) = 54cm²
Now, the bottom triangle has a base of 12 cm, and a height of:
15cm - 6cm = 9cm
Then its area is:
A' = 12cm*9cm/2 = 54cm²
This means that the total area of the figure is:
total area = 54cm² + 54cm² = 108cm²
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let x = -5/6 and y 4/3= . select all the expressions that have a positive value. select all that apply: a. x * y b. y/x c. x/y d. x + y e. x - y f. y - x
Step-by-step explanation:
A, ×* y = -10 / 9
B, y / x = -8 / 5
C, x / y = -5 / 8
D, x+ y = 1 / 2
E, x- y = - 13 / 6
F, y- x = 13 / 6
please help with this thank you!
Answer:
A. Half of
B. Twice
C. greater than
Step-by-step explanation:
The median of the box plot is the middle line of the box, so for set a it is approximately ten and for set b it is approximately 20. 10 is half of 20 and 20 is twice as much as 10.
Hope this helps
How would I calculate the horizontal distance of a parabola?
The equation of a circle is given below. Identify the radius and center. Then graph the circle.
x²+(y-2)² =25
The center of the circle is (0,2) and the radius is 5 units
How to determine the radius and the center?The equation is given as:
x² + (y-2)² =25
The equation of a circle is given as:
(x - a)² + (y - b)² = r²
Where:
Center = (a,b)
Radius = r
By comparison, we have:
(a,b) = (0,2)
r² = 25
Evaluate
r = 5
Hence, the center of the circle is (0,2) and the radius is 5 units
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5(y+2/5)= -13 i think im solving for y
Answer:
y = -3
Step-by-step explanation:
5(y+2/5) = -13
distributive property ( 5 x y is 5y, 2 divided by 5 is 0.4 x 5 is 2.)
5y + 2 = -13
take away 2 from both sides (2 is currently positive, so doing opposite)
5y + 2 - 2 = -13 - 2
divide by 5 on both sides
5y = -15
y = -3
hope this helps
Pls help
The question is in the image below
Answer:
retang gular figure of 7 ft and 12 ft
Step-by-step explanation:
i want 100 thx
ASAP ASAP ASAP ASAP!!!!! Pls help me
I didn’t study r.I.p
Answer:
1) Scalene
2) Equilateral
3) Isosceles
4) Right
5)Obtuse
Step-by-step explanation:
The requried correct match for the given triangle and its sides and angle has been shown.
Following the given characteristic the match of the the properties of triangle is given as:
Type of Triangle: Characteristics
Scalene: all side lengths and angles are different sizes
Equilateral: all side lengths are equal and all angles are 60°
Isosceles: two sides and their base angles are equal
Right: one angle is 90°
Obtuse: one angle is greater than 90°
Thus, the required match shown above is the correct match.
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what is the answer to −1.4+(−1.2)
Answer:
-2.6
Step-by-step explanation:
-1.4+(-1.2)
-1.4-1.2=-2.6
Hope this helps!
If not, I am sorry.
(b) Work out the value of (√2+√8)^2
[tex]~~~\left(\sqrt 2 + \sqrt 8 \right)^2\\\\=\left(\sqrt 2 \right)^2 + \left(\sqrt 8 \right)^2 +2 \sqrt 2 \sqrt 8\\\\=2+8+2\sqrt{2 \cdot 8}\\\\=10+2\sqrt{16}\\\\=10+2(4)\\\\=10+8\\\\=18[/tex]
Find the length of AC
Find the length of DC
Step-by-step explanation:
Here is the solution...hope it helps:)
what’s the area of the base
Answer:
16 square units
Step-by-step explanation:
16 square units
I will give BRAINLIEST
Half of the road the boy walked at a speed of 6 m / min, the other half - at a speed of 4 m / min. Calculate the average walking speed of a boy
Answer:
5
Step-by-step explanation:
6 + 4 is 10
Half of 10 is 5
For the polynomial function, find the requested value: f (x) = 10x2 − 4x − 5; f (−2)
The value of f(-2) in the polynomial is 43
How to evaluate the polynomial?The polynomial function is given as:
f(x) = 10x^2 − 4x − 5;
To calculate f (−2), we substitute -2 for x in f(x).
So, we have:
f(-2) = 10(-2)^2 - 4(-2) - 5
Evaluate the expression
f(-2) = 43
Hence, the value of f(-2) in the polynomial is 43
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Howwwww????????
Howwwww
Answer:
How?
I don't know
haha
thanks for the points
find the total area of the composite figure
719ft
office area=12(20)=240ft
storage=(20-12)(40-(12+15)=8(13)=104ft
home theater=25(15)=375ft
total area= 240+104+375=719ft
What exponential expression is equal to 2^-5 . 2^8
[tex]~~2^{-5} \cdot 2^8\\\\=2^{-5+8}~~~~~~~~~~~~~~~~~~~~~;[a^m \cdot a^n = a^{m+n}]\\\\=2^3[/tex]
In the figure below, find the value of cose:
8
-|- -|X X|L
A. 1
О в.г
OC. 1
O D.
X
Answer:
D
Step-by-step explanation:
cosΘ = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{x}{r}[/tex]
Find the degrees of freedom in a regression model that has 10 observations and 7 independent variables. a. 2 b. 17 c. 4 d. 3
The degrees of freedom in a regression model is 2 if the model that has 10 observations and 7 independent variables.
What is a degree of freedom?The amount of rows of training data used to fit the model equals the degrees of freedom.
Total observation = 10
Number of independent variables = 7
Degree of freedom for regression = 10 – 7 - 1
= 2
Thus, the degrees of freedom in a regression model is 2 if the model that has 10 observations and 7 independent variables.
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ƒ (x) = x² − 2x – 4.
What is the average rate of change for the quadratic function from x = − 1 to x =4
[tex]\begin{array}{llll} f(x)~from\\\\ x_1 ~~ to ~~ x_2 \end{array}~\hfill slope = m \implies \cfrac{ \stackrel{rise}{f(x_2) - f(x_1)}}{ \underset{run}{x_2 - x_1}}\impliedby \begin{array}{llll} average~rate\\ of~change \end{array} \\\\[-0.35em] ~\dotfill\\\\ f(x)= x^2-2x-4 \qquad \begin{cases} x_1=-1\\ x_2=4 \end{cases}\implies \cfrac{f(4)-f(-1)}{4 - (-1)} \\\\\\ \cfrac{[(4)^2-2(4)-4]~~ - ~~[(-1)^2-2(-1)-4]}{4+1}\implies \cfrac{4~~ - ~~(-1)}{5} \\\\\\ \cfrac{4+1}{5}\implies \cfrac{5}{5}\implies 1[/tex]
What is the correct expanded form and value!!
Pls hurry asap
Answer:
The answer you selected is correct. Because, [tex]\frac{4}{5} ^{3\\}[/tex]is 4/5, 3 times.
Attached is more explanatory information
Step-by-step explanation:
Answer:
B. [tex]\frac{4}{5}\cdot\frac{4}{5} \cdot\frac{4}{5}=\frac{64}{125}[/tex]
Step-by-step explanation:
(4/5) is raised to a numerical power of 3.
This is NOT [tex]\frac{4}{5}(3)[/tex] and NOT [tex]\frac{4}{5}+\frac{4}{5}+\frac{4}{5}[/tex].Instead, (4/5) is being multiplied by itself 3 times.
This is correctly shown by: [tex]\frac{4}{5}\cdot\frac{4}{5} \cdot\frac{4}{5}[/tex]This can be solved by multiplying the numerators and denominators, which also looks like this: [tex]4^3=64[/tex] and [tex]5^3=125[/tex].The exact form is: [tex]\frac{64}{125}[/tex].The complete expansion is written as: [tex]\frac{4}{5}\cdot\frac{4}{5} \cdot\frac{4}{5}=\frac{64}{125}[/tex]
You have the correct option selected.
Find the volume of the cylinders. (Use π=3.14)
A. Height= 9ft ; radius= 3ft
B. Radius=13yd; height=8yd
Question 1
h= 9 ftr= 3 ftQuestion 2
h= 8 ydr= 13 yd Note that:h= heightr= radius To find:The volume of the given cylinders.
Solution:[tex]\huge\boxed{Formula: V=\pi{r}^{2}h}[/tex]
[tex]\huge\boxed{\red \pi \red = \red 3 \red . \red 1 \red 4}[/tex]
Let's solve!
Substitute the values according to the formula.
[tex]V=3.14×{3}^{2}×9[/tex]
[tex]\large\boxed{V= 254.34 \: {ft}^{3}}[/tex]
Let's work on question 2
Substitute the values according to the formula.
[tex]V=3.14×{13}^{2}×8[/tex]
[tex]\large\boxed{V= 4245.28 \: {yd}^{3}}[/tex]
Determine the equation of the line with slope 3 that passes through the point M(1, 2).
3x + y = 1
3x - y = -1
3x - y = 1
Ox-3y=-1
Answer:
3x - y = 1
Explanation:
Equation formula:
y - y1 = m(x - x1)
where m is slope, (x1, y1) are coordinates
Find Equation:
⇒ y - 2 = 3(x - 1)
⇒ y = 3x - 3 + 2
⇒ -3x + y = -1
⇒ 3x - y = 1
Equation of line in point slope form
y-y1=m(x-x1)y-2=3(x-1)y-2=3x-3y=3x-13x-y=180 volunteers take a meningitis test to help doctors see how accurate this test is at identifying whether someone has meningitis or not.
A positive result means the test has identified you as having meningitis.
Of the volunteers, only 16 people have meningitis.
The results show 2 people who have meningitis gets a negative result and 2 people who don't have meningitis get a positive result.
What was the accuracy of the test?
Using it's formula, considering the results, it is found that the accuracy of the test is of 0.95 = 95%.
What is the accuracy of a test?It is given by the number of correct results divided by the number of tests.
In this problem, there were 80 tests, of which 80 - 2 - 2 = 76 had correct results, hence the accuracy is given by:
A = 76/80 = 0.95 = 95%.
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Rita is ordering 4 bags of cat food from canada. each bag has a mass of 2.5kg . to determine the shipping costs, rita needs to know the total weight in pounds. what is the weight of the cat food in pounds?
Answer:
total weight in pounds = 22 lb
Step-by-step explanation:
Let's first find out the total weight in kilograms.
total weight = 4 x 2.5 kg = 10 kg
The approximation for kilograms (kg) to pounds (lb) is 1 kg = 2.2 lb.
So if 1 kg is 2.2 lb, 10 kg is 10 times more.
10 kg = 10 x 2.2 lb = 22 lb
What is the value of X and the Segment AC is
Answer:
d)14
Step-by-step explanation:
use Pythagoras
a² = b² ,+ c²
50² = 48² + c²
2500 - 2304 = c²
196 = c²
√196 = c
c=14