Answer:
17000 batteries
Step-by-step explanation:
Three years and one month is equivalent to the mean minus one standard deviation.
Three years and seven months is equivalent to the mean plus one standard deviation.
For a normal distribution, we know that 68% of population is between mean ± 1 sd, then can be expected that 25000*68% = 17000 of batteries last between three years and one month and three years and seven months
The midpoint of a line segment partitions the line segment into a ratio of
The midpoint of a line segment partitions the line segment into a ratio of 1:1, meaning it divides the segment into two equal parts.
Explanation:In mathematics, a midpoint refers to a point that is exactly in the middle of a line segment. The definition of midpoint implies that it divides or partitions a line segment into two equal parts. Therefore, the ratio is 1:1.
Consider the given line segment AB with the midpoint M. If the length of the segment AB is L, then AM = MB = L/2. This shows that the line segment AB is divided into two equal parts by M, thus resulting in a 1:1 ratio.
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The correct answer is 1:1.
The midpoint of a line segment is the point that divides the segment into two equal parts. By definition, these two parts are of the same length, which means that the ratio of their lengths is 1:1. This is because the midpoint is equidistant from both endpoints of the line segment, effectively splitting the segment into two congruent segments.
To illustrate this with an example, let's consider a line segment AB with a midpoint M. The length of segment AM is equal to the length of segment MB. If we denote the length of AM as x and the length of MB as y, we have:
x = y
Expressing this as a ratio, we get:
x/y = 1/1
This ratio represents the division of the line segment by its midpoint, and it shows that the division is equal on both sides of the midpoint, hence the ratio of 1:1.
The blue dot is at what value on the number line?
Answer:
0
Step-by-step explanation:
-10 -8 -6 -4 -2 0
Answer:
0
You go up by 2 every jump so if you start from 6 and jump 3 times it makes 3 x 2 = 6 so it cancels out the negative 6 leaving nothing or zero.
Step-by-step explanation:
What is the measure of ABC?
Answer:
Im going to go with C.
Step-by-step explanation:
I think that is correct.
Consider rectangle ABCD with diagonals BD and AC intersecting at E.
Rectangle A B C D has diagonals B D and A C that intersect at the center of the rectangle at point E. Angles B C E is 52 degrees, angle C B E is 52 degrees, angle D E A is 104 degrees, and angle B E A is 76 degrees.
Which is true about the angle relationships in the rectangle? Check all that apply.
AngleBEA and AngleCED are vertical angles and equal 76°.
AngleABE and AngleCBE are complementary angles.
AngleBEC and AngleCED are vertical angles.
AngleBEA and AngleAED are supplementary angles whose sum is 180°.
AngleBEC and AngleAED are adjacent angles.
Answer:
A,B,D
Step-by-step explanation:
"The correct statements about the angle relationships in rectangle ABCD are:
- AngleBEA and AngleCED are vertical angles and equal 76°.
- AngleABE and AngleCBE are complementary angles.
- AngleBEC and AngleCED are vertical angles.
- AngleBEA and AngleAED are supplementary angles whose sum is 180°.
- AngleBEC and AngleAED are adjacent angles.
1. AngleBEA and AngleCED are vertical angles. Vertical angles are the angles opposite each other when two straight lines intersect. Since BD and AC intersect at E, angle BEC and angle AED are vertical angles and therefore equal. Given that angle BEC is 52 degrees, angle AED is also 52 degrees. However, the question states that angle DAE is 104 degrees, which means angle AED is 180 - 104 = 76 degrees (since angle DAE and angle AED are supplementary angles as they form a straight line). Therefore, angle CED is also 76 degrees, not 52 degrees as initially stated. This corrects the inaccuracy in the question.
2. AngleABE and AngleCBE are complementary angles. Complementary angles are two angles whose measures add up to 90 degrees. Since ABCD is a rectangle, angle ABE and angle CBE are right angles (90 degrees). Angle ABE is made up of angles ABE and BEC, and since angle BEC is 52 degrees, angle ABE is 90 - 52 = 38 degrees. Similarly, angle CBE is made up of angles CBE and BEC, so angle CBE is also 38 degrees. Therefore, angles ABE and CBE are complementary as their sum is 90 degrees.
3. AngleBEC and AngleCED are vertical angles. As previously explained, vertical angles are equal, so angle BEC and angle CED are equal, both being 52 degrees.
4. AngleBEA and AngleAED are supplementary angles. Supplementary angles are two angles whose measures add up to 180 degrees. Since angle BEC is 52 degrees and angle BEC and angle BEA are adjacent angles, angle BEA is 180 - 52 = 128 degrees. Angle AED is 76 degrees as previously calculated. Adding angle BEA and angle AED gives us 128 + 76 = 204 degrees, which is incorrect. The correct calculation should be that angle BEA is 76 degrees (as it is vertical to angle CED which is 76 degrees), and angle AED is 104 degrees (as given in the question). Therefore, angle BEA and angle AED are supplementary as their sum is 76 + 104 = 180 degrees.
5. AngleBEC and AngleAED are adjacent angles. Adjacent angles share a common side and a common vertex. In this case, angle BEC and angle AED share side AE and vertex E. This statement is true as they are indeed adjacent angles."
The following situations showed a strong correlation which implies causation?
1)an increase in the average speed a car travels and a decrease in the time it takes to reach the destination
2)an increase in a company's advertising budget and an increase in their profit
3)an increase in temperature and an increase in ice cream sales
4)an increase in salary and a decrease in sick days
Answer:
The situations that show strong correlation are;
1), 3), 4)
Step-by-step explanation:
To answer the question, we analyze each of the options in turn as follows
1) Since the speed of a car is given by the distance covered per unit time or speed = distance/time then, speed is inversely proportional to time that is an increase in speed will lead to a decrease in time to cover a given distance hence there is a strong correlation implying causation
2) Here, we have that the profit of the company is the difference between the total revenue and the total cost hence;
Profit = Revenue - Cost
As advertising is a cost, increasing the advertising budget, increases the cost and where the revenue remains, constant the profit will decrease
Therefore there is no correlation between increasing the advertising budget and increase in profit
3) When the weather is hot, people get thirsty and will like to cool down their body temperature, hence more people buy ice cream to cool down and quench some thirst hence there is a strong correlation between increase in temperature and an increase in ice cream sales which implies causation
4) For very low income employments, some employees seek excuses to try to make the most of their time hence whereby it is difficult to have another employee stand in for them, some employees may select the recognized excuse of being sick so as to explain absence from work, hence when the salary is increased, they will find more reasons to come to work hence there is a strong correlation between increase in salary and decrease in sick days.
Help me please! Only if you can!
Answer:
Theta = 120 degrees, 420 degrees, 480 degrees, 780 degrees, and 840 degrees
60 + 360 = 420 degrees,
60 + 720 = 780 degrees,
120 + 360 = 480 degrees,
120 + 720 = 840 degrees
Step-by-step explanation:
90 to 870 degrees for theta.
sin (theta) = root(3) /2
We see this comes from a 30-60-90 triangle.
theta is 60 degrees
but we want theta from 90 to 870 degrees.
120 degrees works too.
so we try to find all the co-terminal angles to 60 and 120 degrees that satisfy the conditions.
60 + 360 = 420 degrees,
60 + 720 = 780 degrees,
120 + 360 = 480 degrees,
120 + 720 = 840 degrees
Which is a factor of 54xy + 45x − 18y − 15?
Answer:
3
Step-by-step explanation:
A factor is 3 because 54xy / 3 = 18xy, 45x / 3 = 15x, 18y / 3 = 6y, and 15 / 3 = 5
Answer:
A. 6y+5
Step-by-step explanation:
Find the relationship between the quantities in the table. Then use the relationship to calculate the missing values in the table. The relationship between the quantities in the table is x equals y. A = B = C =
Answer:
x 9 and 27
Step-by-step explanation:
hope this helps :)
I need this answer ASAP!
Answer:
x = 80
Step-by-step explanation:
We know AEC + CEB = 180 since it forms a line
AEC + 160 = 180
AEC = 20
We also know that
AEC + AEF + FED = 180 since it forms a line
20 + x+ 80 = 180
Combine like terms
100 +x = 180
Subtract 100 from each side
100+x-100= 180-100
x = 80
Consider Circle Y with radius 4 m and m angle XYZ = 80 degrees
What is the approximate length of minor arc XZ? Round to the nearest tenth of a meter.
a. 3.7 m
b. 2.8 m
c. 5.6 m
d. 11.2 m
PLEASE HURRY!! I HAVE LIMITED TIME!! :)
Answer:
c. 5.6m
Step-by-step explanation:
pi x 8 x 80/360 = 5.58..
round to 1 d.p. = 5.6
The perimeter of a certain square is 20 inches. Find the area of the square in square inches.
____ in.2
Answer:
25 in.2
Step-by-step explanation:
Because all sides of a square are equal, and the perimeter is 20 in. We divide 20 by 4. This gives us 5 in. for each side. The area of a square is length times width, so we do 5x5. This means the area of the square is 25 square inches.
Write an equation for the graph of each line.
Answer:
5. y = 2x + 4
6. y = (-1/2)x - 2
Step-by-step explanation:
5. We want to find the slope-intercept form of this, which is y = mx + b, where m is the slope and b is the y-intercept.
Slope is change in y divided by change in x. Here, let's take two random points: (-2, 0) and (0, 4). Then we have:
m = (4 - 0) / (0 - (-2)) = 4 / 2 = 2
The slope is thus 2.
The y-intercept is where the line crosses the y-axis. We see it does so at the point (0, 4), so b = 4.
Our equation is thus: y = 2x + 4.
6. Again, let's find the slope. Pick any two points: (-4, 0) and (0, -2). The slope will be:
m = (-2 - 0) / (0 - (-4)) = -2 / 4 = -1/2
Now, look at the point (0, -2); that's where the line crosses the y-axis, so the y-intercept is b = -2.
Thus, the equation is: y = (-1/2)x - 2.
Answer:
5. y = 2x + 4
6. y = -0.5x - 2
Step-by-step explanation:
5. Slope: (4-0)/(0--2) = 4/2 = 2
y-intercept: 4
y = 2x + 4
6. slope: (-2-0)/(0--4) = -2/4 = -0.5
y-intercept: -2
y = -0.5x - 2
sunscreen is priced at $10.00 per bottle,plus 8% tax. If Tonya purcheses a bottle of sunscreen with a $20.00 bill, then what is her change
Answer:
$9.20.
Step-by-step explanation:
For this question, you would have to figure out how much the total would be to get this answer.
Multiply 10 x .08 and you would get 0.8
Add those together and you would get 10.8.
Next you would subtract 20 - 10.8 and your answer is $9.20.
Feel free to let me know if you need more help. :)
Answer:$9.20
Step-by-step explanation
1.) 8/100 is .08
2.) Multiply 10 by .08 to find how much is 8% of $10. Which is $0.80
3.) The sunscreen costs $10.80. You subtract that amount from $20.
4.) The change would be $9.20
Henry knows that the circumference of a circle is 18 pie inches. What is the area of the circle?
O 36 x in 2
O 81x in 2
O 162 x in?
O 324 sin?
Answer:
81x in 2 (B)
Step-by-step explanation:
A = πr^2
Radius = 9
The Radius is 9 because you divide 18 by 2, the equation for Circumference is 2πr.
Answer: 81
Plug 9 into r in the Area equation.
π9^2
81π
4. What is the next step if the data from an investigation do not support the original
hypothesis?
A The data are incorrect and the experiment is run again.
B The hypothesis is revised and another experiment is conducted.
OC The data are revised to support the hypothesis.
D The data are adjusted to match the observations.
Answer:
B: The hypothesis is revised and another experiment is conducted.
Step-by-step explanation:
If several different experiments all reveal that the hypothesis has not been confirmed, a revision of the hypothesis is in order. Perhaps it was the hypothesis all along that needed amendment.
What is the approximate degree measure of angle B in the triangle below? Right triangle A B C is shown. Side A C has a length of 24 and hypotenuse B C has a length of 25.
Answer:
D.) 73.7
Step-by-step explanation:
Took it on edge
The measure of angle B= 73.739.
What is Trigonometry?Trigonometry is the branch of mathematics that deals with the relationship between ratios of the sides of a right-angled triangle with its angles. The ratios used to study this relationship are called trigonometric ratios, namely, sine, cosine, tangent, cotangent, secant, cosecant.
There are basic six ratios in trigonometry that help in establishing a relationship between the ratio of sides of a right triangle with the angle. If θ is the angle in a right-angled triangle, formed between the base and hypotenuse, then
sin θ = Perpendicular/Hypotenusecos θ = Base/Hypotenusetan θ = Perpendicular/Basegiven:
AC= 24, BC= 25
Now,
The opposite is the side facing the angle while the adjacent is the other third side.
Using Trigonometry
sin B = P/B
sin B= 24/25
sin B= 0.96
B= arc sin(0.96)
B= 73.739
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Which statement explains how to calculate the mean of a set of data?
A. Subtract the smallest from the largest value.
o
B. Add the largest and the smallest values and divide by 2.
C. Find the sum of all the values and then divide by the number of values.
D. Organize the data from least to greatest and find the value in the middle.
E
Organize the data from least to greatest and identify which value is repeated the
Answer:
C. Find the sum of all the values and then divide by the number of values.
Step-by-step explanation:
Explain how to find the mean of a data set.
First, add the numbers in the data set.
Then, divide the sum by the number of numbers.
The quotient is the mean.
Answer:
Option C.
Step-by-step explanation:
What is mean?
The arithmetic mean is found by adding the numbers and dividing the sum by the number of numbers in the list.
Mean is calculated by finding the sum of observations and dividing it by the number of observations.
The answer is Option(C).
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Make a list of at least five words to match the following category.
Animal noises -- like "squeak"
Answer:
Meow
Squeak
bark
Caw
baa
Step-by-step explanation:
Convert 163 into a hexadecimal
Answer:
A3
Step-by-step explanation:
Edit for clarification A means 10 and 3 is the remainder so 163/16=10 remainder 3 so the A is 10 and the 3 is the remainder so A3 means 10 remainder 3.
Answer:
A3.
Step-by-step explanation:
163 / 16 until ya get 0.
--> 163 / 16 = 10 with a remainder of 3
--> 10 / 16 = 0 with a remainder of 10
I then looked at a chart to see what this would mean if I was to turn it. It said A3.
A student has to take 4 of the following 7 classes before they are allowed to graduate chemistry, biology, physics, economics, computer
science, theatre, and thetoric. How many ways can a student choose 4 classes? When looking at random selection what is the probability that a
student's choice will not have included physies?
Answer:
Step-by-step explanation:
A circular tablecloth has a radius of 2.5 feet. Kyle is sewing a piece of ribbon around the edge of the tablecloth.
If Kyle has exactly enough ribbon, which measurement is closest to the length of the piece of nbbon in teet?
Answers:
A) 7.85 ft
B) 15.7 ft
C) 19.63 ft
D) 31.4 ft
Answer:
the answer is B
Step-by-step explanation:
because c=3.14 x diameter
diameter= 2.5+2.5=5
3.14 x 5 = 15.7ft
which equals B
Answer: 15.7
Step-by-step explanation: hope it helps
Is [tex]2^{-3}[/tex] rational or irrational?
Answer:
Rational
Step-by-step explanation:
[tex]2^{-3}[/tex] simplifies to [tex]\frac{1}{8}[/tex].
Therefore, it is rational.
[tex]2^{-3}\\\\\text {Apply negative exponent rule: } a^{-n} = \frac{1}{a^n} \\2^{-3}= \frac{1}{2^3}\\ \rightarrow 2^3 = 2*2*2=8\\\boxed{2^{-3}=\frac{1}{8}}[/tex]
Brainliest Appreciated.
the length of a side of an equilateral triangle is 40cm. what is the length of the altitude of the triangle?
20√2 cm
20√3 cm
4√5 cm
6√5 cm
Answer:
20√3 cm
Step-by-step explanation:
Altitude of an equilateral triangle splits it into 2 equal right triangles, it bisects the base and the angle opposite to the base.
Let the altitude be x. Then as per Pythagorean theorem:
x² = 40² - (40/2)²x²= 1600 -400x²= 1200x= √1200x= 20√3 cmCorrect choice is the second one
Which angles are remote interior angles?
A 1 and 2
B 2 and 3
C 3 and 4
D 1 and 4
Answer:
A)
Step-by-step explanation:
1 and 2 are remote interior angles.
Remote interior angles does not share vertex of the triangle with the exterior angle.
Here 4 is the exterior angle.
Answer:
A) 1 and 2
Step-by-step explanation:
got it right
Identify the constant term in this expression.
7p − 3p + 9 + x
A)9
B) 3p
C) 7p
D) x
Answer:
The constant would be A) 9
Step-by-step explanation:
The Constant in a math expression is One number that is on its own or without a varialbe
Does y = -4x2 have a maximum or minimum value?
The equation y = -4x2 is a parabola that opens downward due to the negative coefficient of the x² term, indicating it has a maximum value. The specific maximum value would depend on the values of x.
Explanation:The equation y = -4x2 is a quadratic equation. In this case, the coefficient of the x² term is negative, which means the parabola opens downwards. In such situations, the vertex of the parabola represents a maximum value. Hence, y = -4x2 has a maximum value, not a minimum.
To find the actual maximum value, we would need more information, such as values for x. However, unless there are restrictions on the domain, this function does not have a highest maximum value number as it goes towards positive infinity on the y-axis. Instead, we refer to the maximum point being the peak of the parabola, where it turns from increasing to decreasing.
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a} work out exact value of 13822 x 623/14
b} using your approximations to 1 significant figure, check answer a makes sense.
-----------------________
-----------------
Answer:
615079
Step-by-step explanation:
This is the answer for A
a. The exact value is 615079
b. By using approximation to 1 significant figure we get 600000.
What is Multiplication?
To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.
The expression is given as;
13822 × 623 / 14
Now,
a. Solve the expression as;
13822 × 623 / 14 = 8,611,106 / 14
= 615,079
Thus, The exact value is 615079.
b. Reduce fraction to the lowest term by canceling the greatest common factor:
6911 × 89
Then, Calculate the product = 615079.
So, By using approximation to 1 significant figure we get 600000.
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Which is a better deal?
8 ounces for $1.00
16 ounces for $3.99
32 ounces for $4.99
or 64 ounces for $5.49
Answer:
64 ounces for $5.49
Jamie is painting her house. Each room takes 1/2 of a liter of paint.
If Jamie has 3 liters of paint, how many rooms can she paint
20 points for ANSWER.
Answer:
666 liters
Step-by-step explanation:
If each room takes 1/2, then 2 room takes 1 liter. So you would do 2•333=666
A colony of ants carried away 16 of your muffins. That was 4/5 of all of them! With how many did you start?