Answer:
Step-by-step explanation:
Random samples of size 81 are taken from a population whose mean is 45 and standard deviation is 9. Calculate the probability that a sample mean is less than 42. (round to 4 decimal places)
HINT: When you randomly select a group (n > 1) then you need to re-calculate the standard deviation using the formula:
σ n
Answer:
Using z table
= 0.0013
The probability = 0.0013
Step-by-step explanation:
Given that,
mean = μ = 45
standard deviation = σ = 9
n=81
μT = μ =45
\(\sigma T = \sigma / \sqrt n = 9 / \sqrt81 =1\)
\(P(T <42 )\\= P[(T - \mu T ) / \sigma T < (42-45) /1 ]\\\\= P(z <-3 )\)
Using z table
= 0.0013
probability= 0.0013
~giving brainliest for answering this one question~
Answer: 3 minutes 50.51 seconds
Step-by-step explanation:
10/100 of a second = 0.1 second
So the American's time = 3 minutes 50.61 second - 0.1 second
= 3 minutes 50.51 seconds
The ice rink sold 99 tickets for the afternoon session, for a total of $915. General admission tickets cost $15 and
youth tickets cost $5 each. How many of each kind of tickets were sold?
General admission:
Youth:
Answer:
42 general admission tickets and 57 youth tickets were sold.
Step-by-step explanation:
Since the ice rink sold 99 tickets for the afternoon session, for a total of $ 915, and general admission tickets cost $ 15 and youth tickets cost $ 5 each, to determine how many of each kind of tickets were sold the following calculation must be performed:
15 - 5 = 10
99 x 5 = 495
915 - 495 = 420
420/10 = 42
99 - 42 = 57
(42 x 15) + (57 x 5) = X
630 + 285 = X
915 = X
Thus, 42 general admission tickets and 57 youth tickets were sold.
Which answers describe the shape below? Check all that apply.
31
A
A. Quadrilateral
B. Rhombus
C. Trapezoid
D. Parallelogram
E. Rectangle
F. Square
Answer:
A and D are correct. This is a parallelogram, which is a quadrilateral. B is not correct because not all the sides are congruent. C is not correct. E and F are not correct because this parallelogram does not have any right angles.
Could anyone tell me the answer of this question?
Pls answer fast
Answer:
what is needed to be found??
When the sun is at its highest point in the sky, Hong goes to fly a kite in a flat field. He lets out 42.9 feet of string, and the spool of string is 3.4 feet above the ground. The shadow that the kite makes (directly below the kite on the ground) is 16.5 feet away from Hong. How high is the kite off the ground? Round your answer to two decimal places.
The height of the kite off the ground is approximately 17.87 feet rounded to two decimal places.
To solve the problem can use similar triangles.
Let's draw a diagram:
A
|\
| \
h | \ x
| \
|____\
d B
Point A represents the kite, point B represents the tip of the kite's shadow on the ground and point D represents the point directly below the spool of string on the ground.
The height of the kite represented by h.
The length of the string is 42.9 feet so the distance from point A to point D is also 42.9 feet.
The distance from point B to point D is 16.5 feet.
These two lengths to find the length of segment AB:
AB/AD = BD/AD
AB/42.9 = 16.5/42.9
AB = 16.5
So AB is 16.5 feet.
Now we can use the similar triangles to find h.
We have:
h/x = AB/AD
h/x = 16.5/42.9
h = x × 16.5/42.9
We need to find x.
The spool of string is 3.4 feet above the ground and we know that the kite is directly above the spool when it is at its highest point in the sky.
So the height of the kite above the ground is the same as the height of the spool above the ground plus the length of string that has been let out:
x = 3.4 + 42.9
= 46.3
Now we can substitute this value of x into the previous equation to find h:
h = 46.3 × 16.5/42.9
= 17.87
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please I need step by step answer. facyorise a2+8a+15
Answer:
(+3)(+5)
Step-by-step explanation:
Let's factor a2+8a+15
a2+8a+15
The middle number is 8 and the last number is 15.
Factoring means we want something like
(a+_)(a+_)
Which numbers go in the blanks?
We need two numbers that...
Add together to get 8
Multiply together to get 15
Can you think of the two numbers?
Try 3 and 5:
3+5 = 8
3*5 = 15
Fill in the blanks in
(a+_)(a+_)
with 3 and 5 to get...
(a+3)(a+5)
Proof that irrational numbers are uncountable
Answer:
If the set of all irrational numbers were countable, then R would be the union of two countable sets, hence countable. Thus the set of all irrational numbers is uncountable
Solve the equation 2/3x - 1/5x = x - 1
Answer:
To solve the equation:
2/3x - 1/5x = x - 1
First, we need to find a common denominator for 2/3 and 1/5, which is 15. So we can rewrite the equation as:
(10/15)x - (3/15)x = 15/15 x - 1
Simplifying the left side:
(7/15)x = 15/15 x - 1
Multiplying both sides by 15:
7x = 15x - 15
Subtracting 7x from both sides:
-8x = -15
Dividing both sides by -8:
x = 15/8 or 1.875
Therefore, the solution to the equation is x = 1.875.
I need help please friends i would appreciate your help
Answer:
see attached
Step-by-step explanation:
You want to know the valid row operations that may be applied to the given matrix.
Row operationsA row operation will be valid if it does not change the solution set of the equations the matrix represents.
In general, any row may be replaced by a linear combination of that row and any other row. Replacing a row by some combination of other rows will result in making the equations dependent. A row may not be replaced by zeros or by some nonlinear function of its elements.
Two rows may be swapped.
The attachment shows the valid row operations.
Invalid opsWorking down the left column, the unchecked operations are invalid because ...
nonlinear functionnot a combination involving row 2replaces the row with zerosWorking down the right column, the unchecked operations are invalid because ...
division by 0 is undefinedreplaces the row with zerosnot a combination involving row 3<95141404393>
Can you please help me
Answer:
Step-by-step explanation:
The answer is B
Pls help me, I need it pls
Answer: think your not stups ur smart
Step-by-step explanation:
Pls help with this question pictured below.
The implicit derivative is given as follows:
dx/dt(x = 4) = 1/12.
How to obtain the implicit derivative?The function in this problem is given as follows:
y = 3x² + 1.
The implicit derivative, relative to the variable t, is given as follows:
dy/dt = 6x dx/dt.
(the derivative of the constant 1 is of zero).
The parameters for this problem are given as follows:
x = 4, dy/dt = 2.
Hence the derivative is obtained as follows:
2 = 6(4) dx/dt
dx/dt = 2/24
dx/dt = 1/12.
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Scientists are preparing two satellites to be launched. The satellite, Space Explorer B, flies 74400 miles in 12 hours. The table below represents the number of miles, yy, that the satellite, Space Explorer A, flies in xx hours.
How much faster does Space Explorer B travel per hour than Space Explorer A?
The difference in speed between Explorer B and Explorer A is 600 miles per hour.
How much faster is the Space Explorer B?In order to determine how fast the satellites are travelling, the average speed of the satellites have to be calculated. Average speed is the total distance covered per time.
Average speed = total distance / total time
Average speed of Space Explorer B = 74,400 / 12 = 6,200 miles per hour
Average speed of Space Explorer A = 72,800 / 13 = 5,600 miles per hour
Difference in speed = 6,200 miles per hour - 5,600 miles per hour = 600 miles per hour.
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The opposites of (3x + 7) and 3x + 10
Show you're work
Answer:
-3x-7 and -3x-10
Explanation:
We multiply both equations by -1.
What is the meaning of "A group G whose order is a prime number has only two subgroups, G itself and 1 = {1}"?
If G is not a cyclic group, then it does not have a subgroup of order p. Conversely, if G is cyclic, then it has a unique subgroup of order p.
The statement "A group G whose order is a prime number has only two subgroups, G itself and 1 = {1}" means that if G is a group with a prime number of elements, then the only subgroups of G are the trivial subgroup {1} and the group G itself.
In other words, there are no other proper subgroups of G besides these two.
The statement "A group G whose order is (p-1) where p is a prime number has a subgroup of order p if and only if G is cyclic" means that if G is a group with (p-1) elements, where p is a prime number, then G has a subgroup of order p if and only if G is a cyclic group.
In other words, if G is not a cyclic group, then it does not have a subgroup of order p. Conversely, if G is cyclic, then it has a unique subgroup of order p.
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On October 12, 2020, the number of new cases of Covid 19 in Milwaukee was 235. On Oct. 22, 2020, the number of new cases in Milwaukee was 395.
a. Create an exponential model for new cases in terms of days.
b. Based on your model, what would be the number of new cases on Oct. 31, 2020?
c. The actual number of new cases on Oct. 31, 2020, was 1043. How well does this fit your model?
a. To create an exponential model for new cases in terms of days, we can use the formula: y = a * b ^ x, where y is the number of new cases, x is the number of days since the first observation, and a and b are constants that we need to determine. Using the two data points given, we can set up a system of equations:
235 = a * b ^ 0
395 = a * b ^ 10
Solving for a and b, we get:
a = 235
b = (395/235)^(1/10) = 1.067
Therefore, the exponential model for new cases in Milwaukee is:
y = 235 * 1.067 ^ x
b. To find the number of new cases on Oct. 31, 2020, we need to plug in x = 19 (since Oct. 31 is 19 days after Oct. 12) into the model:
y = 235 * 1.067 ^ 19 = 1018.5
Therefore, based on the exponential model, we would expect around 1019 new cases on Oct. 31, 2020.
c. The actual number of new cases on Oct. 31, 2020, was 1043. This is higher than the predicted value of 1019, but not by a huge margin. Overall, the model seems to fit the data reasonably well, especially considering that there are many factors that can affect the number of new cases in a given area, and that the model is based on only two data points. However, it is worth noting that the exponential model assumes that the growth rate of new cases remains constant over time, which may not be a realistic assumption in the long run.
7th grade math I need some help with this.
Match the percent error with its scenario.
Answer:
12.5% -- Lenny's bug10% -- Candice's board15% -- Leo's bag20% -- Josie's odometerStep-by-step explanation:
A percentage error is computed as ...
percent error = (amount of error)/(correct amount) × 100%
__
Leo's bag: 1.5 lbs/(10 lbs) = 15%
Candice's board: 1.2 ft/(12 ft) = 10%
Lenny's bug: 2 cm/(16 cm) = 12.5%
Josie's odometer: 4 mi/(20 mi) = 20%
_____
There's nothing magical about percentages. They're just another way to write a number, usually a fraction. You can think of "percent" (%) as another way to write "divided by 100" or "hundredths" (/100). (In similar fashion, the symbol ‰ means /1000.)
1.5/10 = 15/100 = 15% . . . . fifteen hundredths is fifteen percent
1.5/10 = 0.15 = 15% . . . . . . fifteen hundredths is fifteen percent
__
100% = 100/100 = 1, one full amount. A lot of times you will hear or see "multiply by 100 to change it to a percent." That is not true. Multiplying a number by 100 makes it be 100 times as big. When changing a number to a percent, you want it to keep its same value. That is why I show the fraction being multiplied by 100%. It is multiplication by 1, so the value stays the same.
Answer: in picture
Step-by-step explanation:
A shoe manufacturer claims that among the general adult population in the United States that the length of the left foot is longer than the length of the right foot. To compare the average length of the left foot with that of the right foot, we will take a random sample of adults and measure the length of the left foot and then the length of the right foot. Based on our sample, does the data indicate that the length of the left foot is greater than the length of the right foot? Is the hypothesis one-tailed or two-tailed?
We can reject the null hypothesis and conclude that there is evidence to support the alternative hypothesis that the left foot is longer than the right foot.
How to test the data indicate that the length of the left foot is greater than the length of the right foot?A statistical test is required to determine whether the length of the left foot is greater than the length of the right foot. The null hypothesis states that there is no difference in average length between the left and right feet. The alternative hypothesis is that the left foot's average length is greater than the right foot's average length.
This hypothesis is one-tailed, as we are only interested in whether the left foot is longer than the right foot. We are not considering the possibility that the right foot could be longer than the left foot.
A t-test can be used to determine whether the difference in average length between the left and right feet is statistically significant. We can reject the null hypothesis and conclude that there is evidence to support the alternative hypothesis that the left foot is longer than the right foot if the p-value of the t-test is less than the chosen significance level (e.g., 0.05).
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how long will it take me to finish 25 episodes anime with over 24 minutes each episode?
Answer:
9.583 hours
Step-by-step explanation:
multiply both of them and divide by 60 youll get. how long it will take for u to complete an anime
Two cars are traveling towards a hotel on the same road. From the edge of the hotel, 600 feet high, Spiderman sits on the rooftop thinking about the depression angle needed to reach each car. If the depression angle to the nearest car is 52 degrees, and the depression angle to the farther car is 46 degrees, how far apart must the two cars be from each other?
Make a sketch, solve the problem, and round your answer to the nearest hundredth of a foot.
The two cars must be approximately 177.34 feet apart from each other for Spiderman to have different depression angles to each car.
To find the distance between the two cars, we can use trigonometry and the concept of similar triangles. Let's denote the distance between Spiderman and the nearest car as d1 and the distance between Spiderman and the farther car as d2.
In a right triangle formed by Spiderman, the height of the hotel, and the line of sight to the nearest car, the tangent of the depression angle (52 degrees) can be used:
tan(52) = 600 / d1
Rearranging the equation to solve for d1:
d1 = 600 / tan(52)
Similarly, in the right triangle formed by Spiderman, the height of the hotel, and the line of sight to the farther car, the tangent of the depression angle (46 degrees) can be used:
tan(46) = 600 / d2
Rearranging the equation to solve for d2:
d2 = 600 / tan(46)
Using a calculator, we can compute:
d1 ≈ 504.61 feet
d2 ≈ 681.95 feet
The distance between the two cars is the difference between d2 and d1:
Distance = d2 - d1
Plugging in the values, we have:
Distance ≈ 681.95 - 504.61
Distance ≈ 177.34 feet
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Question
What is the height of a triangle with an area of 893 square inches and a base of 38 inches?
Answer:
the height of the triangle is 47 inches
In a survey of 250 professional athletes, it was found that 119 of them owned a convertible, 119 of them
owned a giant screen TV, and 109 owned a sporting goods store. 22 owned a convertible and a store, 51
owned a TV and a store, and 62 owned a covertible and a TV. 11 owned all three items.
Answer: Whats the question?
Step-by-step explanation:
Rewrite the expression as the algebraic expression in x
Sin
(tan^-1(x))
9514 1404 393
Answer:
sin(tan^-1(x)) = x/√(x² +1)
Step-by-step explanation:
We know that for an angle in a right triangle...
Tan = Opposite/Adjacent
and
Sin = Opposite/Hypotenuse
so we can let Opposite = x and Adjacent = 1. The Pythagorean theorem tells us that ...
Hypotenuse² = Opposite² + Adjacent² = x² +1
Then the sine of the angle is ...
sin(tan^-1(x)) = x/√(x² +1)
A
X
Find the value of x.
D
X+2
x = [?]
B
3
E
2
C
Answer:
x = 4
Step-by-step explanation:
if a line is parallel to a side of a triangle and it intersects the other two sides then id divides those sides proportionally.
DE is such a line , then
\(\frac{BD}{AD}\) = \(\frac{BE}{EC}\) ( substitute values )
\(\frac{x+2}{x}\) = \(\frac{3}{2}\) ( cross- multiply )
3x = 2(x + 2)
3x = 2x + 4 ( subtract 2x from both sides )
x = 4
Write a system of equations to describe the situation below, solve using any method, and fill in the blanks.
A business owner wants to have the front window of his store painted and is considering two artists for the job. John has quoted a flat rate of $88 for the job. Zachary's quote is $5 per hour, plus $78 to cover the cost of materials. Depending on how long it takes Zachary to paint the window, these two could end up charging the same amount. How long would Zachary have to take? How much would it cost?
If the job takes Zachary hours, the cost would be $ with either artist.
f(x) = x^2-3
What is the average rate of change on the interval [-5, 2] ?
Answer:
\((-3)\).
Step-by-step explanation:
Over this interval, the change in the value of this function is:
\(f(-5) - f(2) = 22 - 1 = 21\).
The corresponding change in the value of \(x\):
\((-5) - 2 = -7\).
The average rate of change of function \(f\) over this interval is equal to the change in the function value divided by the corresponding change in \(x\):
\(\begin{aligned}& (\text{average rate of change}) \\ =\; & \frac{(\text{change in function value})}{(\text{change in $x$})} \\ =\; & \frac{f(-5) - f(2)}{(-5) - 2} \\ =\; & \frac{22 - 1}{-7} \\ =\; & \frac{21}{-7} \\ =\; & -3\end{aligned}\).
Thus, the average rate of change of \(f(x) = x^{2} - 3\) over the interval \([-5,\, 2]\) would be \((-3)\).
Kenan bought 186 shares at $25.94 each add them for a lovet at $2344,
A.What was his groas capital loss?
b. What was the percent of loss?
Answer:
$-2480.84
51.4%
Step-by-step explanation:
Gross loss = selling price - cost price
cost price = price per unit x total unit bought
186 x 25.94 = $4824.84
$2344 - $4824.84 = $-2480.84
Percent loss = $-2480.84 / $4824.84 x 100 = 51.4%
one card is drawn from a pack of 52cards each of the 52 cards being equally likely to be drawn. what is the probability that the card drawn is a king?
The probability of drawing a king from a standard deck of 52 cards is 1/13.
In a standard deck of 52 playing cards, there are four kings: the king of hearts, the king of diamonds, the king of clubs, and the king of spades.
To find the probability of drawing a king, we need to determine the ratio of favorable outcomes (drawing a king) to the total number of possible outcomes (drawing any card from the deck).
The total number of possible outcomes is 52 because there are 52 cards in the deck.
The favorable outcomes, in this case, are the four kings.
Therefore, the probability of drawing a king is given by:
Probability = (Number of favorable outcomes) / (Number of possible outcomes)
= 4 / 52
= 1 / 13
Thus, the probability of drawing a king from a standard deck of 52 cards is 1/13.
This means that out of every 13 cards drawn, on average, one of them will be a king.
It is important to note that the probability of drawing a king remains the same regardless of any previous cards that have been drawn or any other factors.
Each draw is independent, and the probability of drawing a king is constant.
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Three dogs eat 30 pounds of food in 10 days. If each dog eats the same amount, how much food does 1 dog eat in 1 day? 1 pound 3 pounds 9 pounds 10 pounds
Answer:
Unable to read entire question, but see explanation for answer
Step-by-step explanation:
First, you need to find the unit rate per dog. If it takes 3 dogs 10 days to finish 30 pounds of food, then it takes 1 dog 1 day to finish 1 pound of food. I cannot read the entirety of the question because of the cropping, but you can find how much food a single dog eats in that amount of days by just multiplying by the number of days (say, 1 pound in 1 day, or 3 pounds in 3 days). Hope this helps!
Answer:
1
Step-by-step explanation:
took test