Answer:
a) 0.064
b) 0.002
Step-by-step explanation:
a) Assuming that the batteries' voltage levels are independent
Probability = 0.8 * 0.8 = 0.64
b) batteries' voltage levels are dependent
20/19 (0.064)^19 *0.036 + 20/20 (0.064)^20 *0.036^0
= 0.002
I’ll give brainliest if you answer this correctly
Answer:
B y = (-7/4)x - 7
Step-by-step explanation:
Slope intercept form is
y = mx + b
Where m is the slope and b is the y-intercept
m = rise/run
m = ∆y/∆x
m = (y₂ - y₁) / (x₂ - x₁)
m = (-7 - 0) / (0 - -4)
m = -7/4
From the graph the y-intercept
b = -7
-------------------------
y = (-7/4)x - 7
If (10,3) and (6,31) are two
anchor points on a trend line,
then find the equation of the
line.
Answer:Step-by-step explanation:
would it be (5.6)
Answer:
Step-by-step explanation:
Use commutative, then distributive. And explain how the properties were helpful in simplifying the expression.
ONLY ANSWER IF YOU KNOW THE ANSWER. SHOW ALL WORK
Answer:
8
Step-by-step explanation:
1 3/5=8/5
45*8/5*1/9=360/5*1/9=72*1/9=72/9=8
If the world's population increased exponentially from billion in 1998 to billion in 2008 and continued to increase at the same percentage rate between 2008 and 2012, calculate what the world's population would have been in 2012. Round your answer to two decimal places.
Answer:
The answer is "7.122 billion"
Step-by-step explanation:
Please find the complete question in the attached file.
Using formula:
[tex]\to y=Ce^{kt}[/tex]
[tex]C=5.937\\\\y=6.771\\\\t=10\\\\ k=?6.771=5.937e^{10k}\\\\1.1405=e^{10k}\\\\\ln(1.1405)={10\ k}\\\\0.013={k}\\\\[/tex]
So,
[tex]\to y=5.937e^{.013t}\\\\[/tex]
when it becomes [tex]2012, \ t=14[/tex] so plug the value into the formula
[tex]\to y= 5.937e^{.013(14)} =7.122 \ billion[/tex]
Which of the following verifies that AABC is similar to ADEF?
A. AA postulate
B. SAS theorem
C. Similarity cannot be determined.
D. SSS theorem
Answer:
B. SAS Theorem
Step-by-step explanation:
SAS means that there are 2 corresponding sides with an angle in between. This condition is satisfied in this case because AC corresponds to DF (18/2 = 9), angle c and angle f are congruent, and BC corresponds to EF
By ''SAS theorem'' triangle ABC is similar to DEF.
What is mean by Triangle?A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.
Given that;
To find the theorem which can be used to verify triangle ABC is similar to DEF.
Now,, By figure,
There are one angle are common.
And, Ratio of two sides are equal.
Hence, By ''SAS theorem'' triangle ABC is similar to DEF.
Learn more about the triangle visit;
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Find all solutions to the equation. Show steps!
sin^(2)x + sin x = 0
Step-by-step explanation:
sin^(2)x + sin x = 0
sin x(sin x +1)= 0
sin x = 0 or sin x = -1
so, x = 0°, 180°, 270°
{0°, 180°, 270°}
Write the equation of the line that passes through the points (-5, -7) and
(-3,3). Put your answer in fully reduced point-slope form, unless it is a
vertical or horizontal line.
Answer:
f(x)=5x+3
Step-by-step explanation:
The slop is 5 and the y intercept is 3
So if you put that in an equation it makes 5x+3
I used the slope formula to find the slope
Subtract the y values over x values
If you know how to solve this, Please answer it. Thank You
Please show your work and the steps.
The first one to answer the question right, will get Brainlist!
I PROMISE!!!!!
The answer is in the picture. Click on it.
The manager of a pizza chain in Albuquerque, New Mexico, wants to determine the average size of their advertised 13-inch pizzas. She takes a random sample of 37 pizzas and records their mean and standard deviation as 13.50 inches and 1.90 inches, respectively. She subsequently computes the 95% confidence interval of the mean size of all pizzas as [12.89, 14.11]. However, she finds this interval to be too broad to implement quality control and decides to reestimate the mean based on a bigger sample. Using the standard deviation estimate of 1.90 from her earlier analysis, how large a sample must she take if she wants the margin of error to be under 0.5 inch
Answer:
She must take a sample of 56.
Step-by-step explanation:
We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:
[tex]\alpha = \frac{1 - 0.95}{2} = 0.025[/tex]
Now, we have to find z in the Z-table as such z has a p-value of [tex]1 - \alpha[/tex].
That is z with a pvalue of [tex]1 - 0.025 = 0.975[/tex], so Z = 1.96.
Now, find the margin of error M as such
[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]
In which [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample.
Standard deviation estimate of 1.90
This means that [tex]\sigma = 1.9[/tex]
Wow large a sample must she take if she wants the margin of error to be under 0.5 inch?
This is n for which M = 0.5. So
[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]
[tex]0.5 = 1.96\frac{1.9}{\sqrt{n}}[/tex]
[tex]0.5\sqrt{n} = 1.96*1.9[/tex]
[tex]\sqrt{n} = \frac{1.96*1.9}{0.5}[/tex]
[tex](\sqrt{n})^2 = (\frac{1.96*1.9}{0.5})^2[/tex]
[tex]n = 55.5[/tex]
Rounding up:
She must take a sample of 56.
what is the greatest number that divides 45 and 60 without leaving a remainder
The answer is in the picture. Click on it
54 x 11 = ( 34 +
) x 11
Answer:
20
Step-by-step explanation:
34 plus 20 is 54
abby went to the movies and buy a large container of popcorn. The popcorn container can be modeled by a right circular cone with a diameter of 9 inches and a height of 10 inches. Popcorn has a density of 34 ounces per cubic foot. If a continer of popcorn costs $8, what is the price per ounce
Answer:
$1.918
Step-by-step explanation:
The volume of a right circular cone is obtained using the formular :
V = 1/3πr²h
From the question:
Diameter = 9 inches ; height = 10 inches
Radius = diameter /2 = 9/2 = 4.5 inches
V = 1/3*π*4.5²*10
V = 211.95 in³
Volume in ft³ = 211.95 / 1728 = 0.12265625 ft³
Density of popcorn = 34 ounces / ft³
Density of popcorn CONTAINER = x
1 ft³ = 34 ounce
0.12265625 ft³ = x
Cross multiply
x = 34 * 0.12265625 ft³
x = 4.1703125 ounce
Hence, popcorn continer has a density of 4.1703125 ounce
If price per container = $8
The price per ounce = $8 / 4.1703125
= $1.918
Hence, price per ounce is $1.918
Ty
7
What is the slope of a line that is perpendicular to the line
shown on the graph?
6
5
O-2
4
3+
2
2
0 -
0 2 / 2
o
1
O 2
1
2 3
4 5 6 7 X
7 6 5 4 3 2 - 21.
-2-
--3-
6
Answer:
-1/2
Step-by-step explanation:
Perpendicular lines have negative reciprocal slopes.
The solution is, -1/2 is the slope of a line that is perpendicular to the line
shown on the graph.
What is slope?In mathematics, the slope or gradient of a line is a number that describes both the direction and the steepness of the line. The slope of a line is a measure of its steepness. Mathematically, slope is calculated as "rise over run" (change in y divided by change in x).
here, we have,
we have to,
find the slope of the line shown using
the formula, m = y1- y2 / x1- x2
from the given graph we get,
Let
P1(0,1)
P2(1,3)
now we get,
replacing
m = 2/1
= 2
so, here, m1 = 2
two lines are perpendicular when
m1 * m2 = -1
as, we know that,
Perpendicular lines have negative reciprocal slopes.
so, we get ,
m2 = -1/2
Hence, The solution is, -1/2 is the slope of a line that is perpendicular to the line
shown on the graph.
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PLEASE HELP IM SO STUCK!
Answer:
x = 30
Step-by-step explanation:
The angle in the bottom right is 120
Call is y
y+60 = 180
y = 180-60
y =120
Opposite angles in a parallelogram are equal so the upper left angle is 120
Call the 3x +z = 120
We also know that 2x+90 +z = 180 since it forms a straight line
Subtract 90 from each side
2x+z = 90
Using 3x+z = 120 and 2x+z =90 and subtracting the second equation
3x+z = 120
-2x-z =-90
------------------
x = 30
The expression 2(l + w) is used to calculate the perimeter of a rectangle, where l is length and w is width. If the length is Fraction 2 over 3 unit and the width is Fraction 1 over 3 unit, what is the perimeter of the rectangle in units?
Answer:
Perimeter = 1 unit
Step-by-step explanation:
[tex]length \ is \ a \ fraction \ 2 \ over \ 3 = \frac{2}{3}\\\\Width \ is \ a \ fraction \ 1 \ over \ 3 = \frac{1}{3}\\\\Perimeter = 2 ( l + w)\\[/tex]
[tex]= 2 \times (\frac{2}{3} + \frac{1}{3}) \\\\=2 \times (\frac{3}{3})\\\\= 1 unit[/tex]
A square has a side length of 3x3y5. What is the area of the square?
Answer:
9x^3 y^5
Step-by-step explanation:
Since the formula to finding area is (L*W = A), we first have to find the width.
Width: 3x^3 y^5 times 2 = 6x^3 y^5
Then we add them. So, 3x^3 y^5 + 6x^3 y^5 = 9x^3 y^5
Can someone help me with this please!
Answer:
Maybe 24 ft.......................????
Answer:
24 feet.
Step-by-step explanation:
We can solve this with a proportion.
[tex]\frac{Height}{Shadow}=\frac{Height}{Shadow}\\\frac{Height}{12}=\frac{2}{1}\\Height=\frac{2}{1}(12)\\Height = 24[/tex]
Therefore, the height of the sailboat is 24 feet.
5
What are the solutions of the quadratic equation below?
2x - 2x - 9 = 0
ОА.
-119
2
OB. 33/19
2
Oc1/19
2
OD. 1+3 19
2
Reset
Next
is this table a function? PLEASE HELPPP
Answer:
It is a function.
Step-by-step explanation:
I would suggest use the website Desmos.
A kite is staked to the ground and blowing in the wind. It currently has a
string let out to a length of 89 meters. It has an altitude of 68 feet. To the
nearest tenth of a degree, find the angle of elevation.
Answer:
50 °
Step-by-step explanation:
that is the procedure above
Suppose that you have two different algorithms for solving a problem of size n. The first algorithm uses exactly n(log n) operations and the second algorithm uses exactly n 3/2 operations. As n grows, determine which algorithm uses fewer operations?
Answer:
Algorithm 1 uses:
n*log(n) operations.
While algorithm 2 uses:
n^(3/2) operations.
We want to see, as n grows, which algorithm uses fewer operations.
So we would want to first solve:
n*log(n) = n^(3/2)
This will give us the exact value of n such that the number of operations is the same in both algorithms.
dividing both sides by n we get:
log(n) = n^(3/2)/n = n^(3/2 - 1) = n^(1/2)
where we can use:
log(n) = ln(n)/ln(10)
ln(n) = ln(10)*n^(1/2)
This equation actually has no solutions.
This happens because the right side is always larger than the left side.
Then, the same thing happens for our two initial equations:
n^(3/2) is always larger than n*log(n), as you can see in the graph below, where n^(3/2) is represented with the orange graph:
So we can conclude that the fist algorithm uses less operations as n grows.
giải phương trình Bermolli : y' +[tex]\frac{y}{x}[/tex] =x[tex]y^{2}[/tex]
Answer:
y(x) = -1/(x^2 + c_1 x)
Step-by-step explanation:
Solve Bernoulli's equation ( dy(x))/( dx) + y(x)/x = x y(x)^2:
Divide both sides by -y(x)^2:
-(( dy(x))/( dx))/y(x)^2 - 1/(x y(x)) = -x
Let v(x) = 1/y(x), which gives ( dv(x))/( dx) = -(( dy(x))/( dx))/y(x)^2:
( dv(x))/( dx) - v(x)/x = -x
Let μ(x) = e^( integral-1/x dx) = 1/x.
Multiply both sides by μ(x):
(( dv(x))/( dx))/x - v(x)/x^2 = -1
Substitute -1/x^2 = d/( dx)(1/x):
(( dv(x))/( dx))/x + d/( dx)(1/x) v(x) = -1
Apply the reverse product rule f ( dg)/( dx) + g ( df)/( dx) = d/( dx)(f g) to the left-hand side:
d/( dx)(v(x)/x) = -1
Integrate both sides with respect to x:
integral d/( dx)(v(x)/x) dx = integral-1 dx
Evaluate the integrals:
v(x)/x = -x + c_1, where c_1 is an arbitrary constant.
Divide both sides by μ(x) = 1/x:
v(x) = x (-x + c_1)
Solve for y(x):
y(x) = 1/v(x) = -1/(x^2 - c_1 x)
Simplify the arbitrary constants:
Answer: y(x) = -1/(x^2 + c_1 x)
Jamie says the value of the expression 1.43 x (19/37) is close to 0.75. Does Jamie's estimate seem reasonable? Explain. *
Answer:
Jamie's estimate is correct, since the result is 2.1% less than the estimated number.
Step-by-step explanation:
Given that Jamie says the value of the expression 1.43 x (19/37) is close to 0.75, to determine if Jamie's estimate seems reasonable the following calculation must be performed:
1.43 x (19/37) = X
1.43 x 0.513 = X
0.7343 = X
0.75 = 100
0.7343 = X
0.7343 x 100 / 0.75 = X
97.9 = X
Therefore, Jamie's estimate is correct, since the result is 2.1% less than the estimated number.
Joy sells two types of yarn: wool and synthetic. Wool is $12 per skein and synthetic is $9 per skein. If Joy sold 16 skeins of synthetic and collected a total of $432, how many skeins of wool did she sell?
Find all real values of a such that the given matrix is not invertible.
A= [0 9 a]
[a 1 7]
[0 a 1]
Answer:
The answer is "0,3,-3".
Step-by-step explanation:
Let the matrix is not invertible.
then |A|=0
[tex]\left|\begin{array}{ccc}0&9&a\\a&1&7\\0&a&1\end{array}\right|=0[/tex]
[tex]-a[9-a^2]=0\\\\a=0\\\\a=\pm 3\\\\a=0, 3,-3\\[/tex]
There are 18 white
socks and 27 black
socks in a drawer.
Write the ratio of white
socks to black socks.
Answer: 18:27 I believe
Step-by-step explanation: There are 18 white socks and 27 black socks therfore the answer is 18:27
Kurt had a plate of pancakes at a diner. The bill, with tax, was $6.75. He gave the waiter a tip equal to 20% of the bill. What is the total amount that Kurt spent at the diner? A. $1.35 B. $6.89 C. $6.95 D. $8.10
Answer:
$8.10
Step-by-step explanation:
6.75 ÷ 100 = 0.0675 x 20 = 1.35
1.35+6.75=$8.10
Which statement is false? A. A number is even if and only if it is divisible by 2. B. 3x=15 if and only if x=5. C. Two points are collinear if and only if they lie on the same line. D. Two angle form a linear pair if and only if they are adjacent
Answer:
option Ais false
Step-by-step explanation:
this is because even number can be divisible by 2 and its multiples as well which are larger than 2 as well.
65.874,326.59,13.555,7.959 round to the following numbers to 1 decimal place
Answer:
a)65.9
b)326.6
c)13.6
d)8.0
Step-by-step explanation:
Answer: 65.87
Step-by-step explanation: Identify which place value you are rounding to. The smaller the place value, the more accurate the final result will be.
Look to the next smallest place value, the digit to the right of the place value you're rounding to. For example, if you want to round to the nearest ten you'd look at the ones place.
Let f(x) = - 10x + 9 and g(x) = x2 + 12
Find f( - 4)/g( - 4)
Answer:
[tex]\frac{49}{28}[/tex]
Step-by-step explanation:
Evaluate g(- 4) and f(- 4) by substituting x = - 4 into g(x) and f(x), that is
f(- 4) = - 10(- 4) + 9 = 40 + 9 = 49
g(- 4) = (- 4)² + 12 = 16 + 12 = 28
Then
[tex]\frac{f(-4)}{g(-4)}[/tex] = [tex]\frac{49}{28}[/tex] = [tex]\frac{7}{4}[/tex]