Answer:
This probability is the p-value of Z given [tex]Z = \frac{X - \mu}{\sigma}[/tex], considering X as less than X seconds, [tex]\mu[/tex] as the mean and [tex]\sigma[/tex] as the standard deviation.
Step-by-step explanation:
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
In this question:
Mean [tex]\mu[/tex], standard deviation [tex]\sigma[/tex].
Find the probability that a randomly selected high school student can run the mile in less than X seconds.
This probability is the p-value of Z given [tex]Z = \frac{X - \mu}{\sigma}[/tex], considering X as less than X seconds, [tex]\mu[/tex] as the mean and [tex]\sigma[/tex] as the standard deviation.
Wat is the Ans?
Got the question
Answer:
C
Step-by-step explanation:
C= 2* pi*r = 2* pi* 5 ≈ 31.4 cm
Can someone help me please
A car rental company charges $11 a day and 18 cents per mile to rent their cars. If the total charge for a 2-day rental was $61.60, how many miles were driven? Write and solve and equation.
Answer:
220 miles
Step-by-step explanation:
.18m + 11d = 61.60
d = 2
.18m + 22 = 61.60
Subtract 22 from both sides
.18m = 39.60
Divide both sides by .18
m = 220
A teacher asks her students to write down the number of hours studied, rounded to the nearest half hour. She compiles the results and develops the probability distribution below for a randomly selected student. What is the mean of the probability distribution?
Probability Distribution
Hours Studied: X
Probability: P(X)
0.5
0.07
1
0.2
1.5
0.46
2
0.2
2.5
0.07
Answer:1.50
Step-by-step explanation:None
Answer: the answer is d
Step-by-step explanation:
HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP
Bailey has been studying wait times at two restaurants in her hometown.
Which TWO statements BEST describe the relationship between the restaurant wait times?
A
If two sets of data have the same median, they will also have the same range.
B
The mode can not be used to compare this data because there are multiple modes for restaurant B.
C
There is less of a wait time for restaurant A because the range of the data is less than the range of the data for restaurant B.
D
When comparing two sets of data, the closer the means of the data are, the greater the data will visually overlap when graphed.
E
When there is a large difference between the means in two sets of data, there will also be a large difference in the medians of the data sets.
Hi plz help, if you can ill mark you 5 starz! :)
Answer:
b and 288
Step-by-step explanation:
ywwwwwwwwwwww
Seeking help to solve the problem shown in the image.
9514 1404 393
Answer:
1340
Step-by-step explanation:
The perimeter of a rectangle of length L and width W is ...
P = 2(L+W)
The perimeter of the rectangle outline of the figure is ...
P = 2(315 +300) = 2·615 = 1230
That outline is the sum of all of the line segments making up the figure except for two lengths of 55 units each. Adding those, we find the perimeter of the figure to be ...
P = 1230 +2(55) = 1230 +110 = 1340 . . . units
_____
Additional comment
It can be convenient to consider the total of horizontal segments and the total of vertical segments. We have shown in the attachment that, except for the 55-unit "indent", the horizontal and vertical lengths are equivalent to those of an ordinary rectangle. Thinking about the problem in this way makes it unnecessary to do the tedious arithmetic necessary to find each segment length. (Here, there is not enough information to do that anyway.)
Help me please i need to hand this in
Need help ASAP anybody got this??
Answer: uhm 6
Step-by-step explanation:
im not sure, but
1. y=9x
2. y=2x
A triangle has side lengths of
[tex] \sqrt{125} [/tex]
[tex] \sqrt{5} [/tex]
[tex] \sqrt{20} [/tex]
What is the perimeter of the triangle?
[tex]4 \sqrt{5} [/tex]
[tex]6 \sqrt{5} [/tex]
[tex]8 \sqrt{5} [/tex]
none of the answers are correct
Answer:
3 is the right one
Step-by-step explanation:
Simple math you know
a farmer estimates that 6% of his plants will be eaten by rabbits. if he has 550 plants, how many will be eaten by rabbits?
Answer:
33 plants
Step-by-step explanation:
6 x 550 = 3300
3300/100 = 33
Calculate the scale factor of ABC to DEF. Enter answer as a whole number or as a fraction in lowest terms, using the slash mark ( / ) for the fraction bar.
Answer:
3
Step-by-step explanation:
because 3x3= 9 and 4x3=12 and 5x3=15
Find the sum of the first four terms of the geometric series 100 + 50 + 25 + ...
Answer:
Decimal:
100 + 50 + 25 + 12.5 + 6.25 + 3.125 + 1.5625
Fraction:
[tex]100 +50+25 + 12\frac{1}{2}+6\frac{1}{4}+3\frac{1}{8}+1\frac{9}{16}[/tex]
Find the number if 1/3 of it is 12?
Answer:
36
Step-by-step explanation:
If 1/3 of x is 12, we can make an equation.
x/3=12
So now we isolate x.
x=36
Answer:
36
Step-by-step explanation:
of means multiply and is means equals
1/3 * n = 12
Multiply each side by 3
3 * 1/3 n = 12 *3
n = 36
A small radio transmitter broadcasts in a 31 mile radius. If you drive along a straight line from a city 38 miles north of the transmitter to a second city 36 miles east of the transmitter, during how much of the drive will you pick up a signal from the transmitter? Hint: assume that the transmitter is at the origin. Write the equations of the line and circle.
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Answer:
63.7% or 33.35 miles
Step-by-step explanation:
The hint suggests that we find the points where the drive begins and ends picking up the transmitter. We suspect both of those points will have irrational coordinates, so finding the distance between them will involve dealing with squares and roots of irrational numbers. We want to see if there's an easier way.
The distance from the transmitter to the path being driven can be found using the "distance to a line" formula. First, we need the equation of the line in general form. In intercept form, it is ...
y/38 +x/36 = 1
19x +18y -684 = 0 . . . . . . multiply by LCM(36, 38) and subtract that amount
Then the distance from the origin to the line is ...
d = |19·0 +18·0 -684|/√(19² +18²) = 685/√685 ≈ 26.1243
The distance (x) along the line from the point where the transmitter is first picked up until the point of closest approach can be found from the Pythagorean theorem:
x² + (26.1243)² = 31²
x² = 31² -(684/√685)² = 190429/685
x ≈ 16.6733
The driving distance for which the transmitter is picked up is twice this, so is ...
2x = 2(16.6733) ≈ 33.3466 . . . miles
The total drive length is also given by the Pythagorean theorem:
drive length = √(36² +38²) = √2740 ≈ 52.3450 . . . miles
Then the fraction of the drive during which the signal is picked up is ...
fraction = (33.3466 mi)/(52.3450 mi) ≈ 0.6371 ≈ 63.7%
__
The signal is picked up for 33.35 miles, about 63.7% of the drive.
______
The intercept-form equation for a line is ...
x/(x-intercept) +y/(y-intercept) = 1
The distance from (x, y) to line ax+by+c=0 is given by ...
d = |ax+by+c|/√(a²+b²)
The Pythagorean theorem relates legs a, b and hypotenuse c of a right triangle this way:
c² = a² +b²
You have at most 8 hours to spend at a concert and at park. You want to spend at least 3 hours at the concert and more than 4 hours at the park.
Find the volume of this rectangular prism. 3 in 3 in 8 in
Answer: 72
Step-by-step explanation: LxWXH
3x3x8=72
The perimeter of the figure below is 141.8ft. Find the length of the missing side
Answer:8.6
Step-by-step explanation:
The easiest way to do this is for you to subtract all the sides from the total perimeter since the perimeter is all of the sides added and your remainder is your answer
Hope this helps
Answer:
8.6 ft
Step-by-step explanation:
Subtract the sum of the known sides from the total in order to find the missing side length.
141.8 - (44.8 + 12.9 + 12.9 + 22.4 + 13.4 + 13.4 + 13.4) = ?
141.8 - (133.2) = ?
8.6 = ?
given the following trigonometric ratio, enumerate the meaning ratio
Answer:
The trigonometric ratios are presented below:
[tex]\sin \theta = \frac{AC}{\sqrt{AC^{2} + BC^{2}}}[/tex]
[tex]\cos \theta = \frac{BC}{\sqrt{AC^{2} + BC^{2}}}[/tex]
[tex]\cot \theta = \frac{BC}{AC}[/tex]
[tex]\sec \theta = \frac{\sqrt{AC^{2}+BC^{2}}}{BC}[/tex]
[tex]\csc \theta = \frac{\sqrt{AC^{2}+BC^{2}}}{AC}[/tex]
Step-by-step explanation:
From Trigonometry we know the following definitions for each trigonometric ratio:
Sine
[tex]\sin \theta = \frac{y}{h}[/tex] (1)
Cosine
[tex]\cos \theta = \frac{x}{h}[/tex] (2)
Tangent
[tex]\tan \theta = \frac{\sin \theta}{\cos \theta} = \frac{y}{x}[/tex] (3)
Cotangent
[tex]\cot \theta = \frac{\cos \theta}{\sin \theta} = \frac{x}{y}[/tex] (4)
Secant
[tex]\sec \theta = \frac{1}{\cos \theta} = \frac{h}{x}[/tex] (5)
Cosecant
[tex]\csc \theta = \frac{1}{\sin \theta} = \frac{h}{y}[/tex] (6)
Where:
[tex]x[/tex] - Adjacent leg.
[tex]y[/tex] - Opposite leg.
[tex]h[/tex] - Hypotenuse.
The length of the hypotenuse is determined by the Pythagorean Theorem:
[tex]h = \sqrt{x^{2}+y^{2}}[/tex]
If [tex]y = AC[/tex] and [tex]x = BC[/tex], then the trigonometric ratios are presented below:
[tex]\sin \theta = \frac{AC}{\sqrt{AC^{2} + BC^{2}}}[/tex]
[tex]\cos \theta = \frac{BC}{\sqrt{AC^{2} + BC^{2}}}[/tex]
[tex]\cot \theta = \frac{BC}{AC}[/tex]
[tex]\sec \theta = \frac{\sqrt{AC^{2}+BC^{2}}}{BC}[/tex]
[tex]\csc \theta = \frac{\sqrt{AC^{2}+BC^{2}}}{AC}[/tex]
The graph shows a linear function.
아이가
10!
8
6
4
2
-10-8-6-4
-3
24
10
-6
-104
Which table of values has a smaller rate of change than the function in the graph?
y
-6
X
-6
-7
y
3
4
5
6
OA.
Ос.
0
1
5
1
2
16
0
3
9
х
B.
E-6 -8
-4
03-5
2-4
81
- 2
0 2
3114
418
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Answer:
table C
Step-by-step explanation:
The rates of change can be computed using the slope formula.
m = (y2 -y1)/(x2 -x1)
The points used and the resulting "rate of change" are shown in the attachment.
Table C shows a rate of change (1/3) that is less than that of the graph (1/2).
_____
I like to use a spreadsheet for repetitive calculations, especially ones involving negative numbers. This helps prevent errors (and tedium). The formula is entered only once.
The table of values which has a smaller rate of change than the function in the graph is C.
What is Slope?This is defined as the ratio of the vertical change to the horizontal change between any two distinct points on a line.
Slope formula.
m = (y2 -y1)/(x2 -x1)
For table C = 4 -3 / -3 - (-6)
= 1/3
Table C shows a rate of change of 1/3 which is less than that of the graph at 1/2 .
Read more about Slope here https://brainly.com/question/25722412
Oscar is buying soil for his plants. He needs to fill one pot with 8 cups of soil and another pot with 3 gallons of soil. If
the price of soil is $2.50 per quart, how much, in dollars, will he pay in all? You may use the conversions to help you
answer the question
1 cup = 8 fluid Ounces
1 pint = 2 cups
1 quart = 2 pints
1 gallon = 4 quarts
1 gallon = 3.875 liters
Enter your answer in the space provided
Answer:
$35
Step-by-step explanation:
8 cups /2 = 4 pints
4/2 = 2 quarts = 5 dollars for first pot
3*4 = 12 quarts, = 30 dollars for second pot
Jill bought 3 boxes of ice pops. Each box contains 4 orange ice pops and some cherry ice pops. The number of cherry ice pops in each box was the same. Jill bought 36 ice pops in all. What are the 2 steps of this equation and how many cherry ice pops are in each box?
Answer: 9 cherry ice pops
Step-by-step explanation:
if you bought 3 boxes and there is four orange one in each pack the that is
12 and 36 divided by 4 is 9 so there is 9 cherry ice pops
The sum of 4 and x
4 + x
4 - x
4x
Answer:
16
Step-by-step explanation:
ezz
The sum of two numbers is 80 and the difference is 20. What are the two
numbers?
Answer:
30 and 50
Step-by-step explanation:
its simple if you cant figure it out then drop out
Hi guys, I really need help, I reckon this is easy for you but I'm low-key disabled and need help with this question so please help me thx. <3
Answer:
15, 8, 66%, 40
Step-by-step explanation:
Hi! ok so in ogive charts its really about finding the corresponding data points and sometimes it's a lot of estimation so these answers may not be exact but they'll be close.
In the image, you'll see a bunch of lines, basically what youre doing is finding the corresponding frequency of the dollars or vice versa.
question a)
50 dollars or less, so the area of 50 dollars and below that.
from the chart we can see that this lines up to around 15 people.
question b)
now this one is a little bit more challenging, but you can use the same process as you did for the first question. so we can see who spent 100 dollars or less. this value is around 42 (just from looking at the graph)
we know if you didn't spend 100 dollars or less, you must have spent more than that.
so take 50-42=8
around 8 people spent 100 dollars or more.
question c)
basically the same question as the first but more calculations are involved. from the graph we can see around 33 people spent 80 dollars or less. but the question is asking the percentage. so what percent of 50 (people) is 33.
33/50 = 0.66
around 66%
question d)
80th percentile means less than or equal to 80% of the frequencies/the data. so we first need to find what value that is in terms of frequency.
50 times 0.8 = 40
40 people
now just plot that on the graph (sorry i did it wrong in the image)
find the surface area of the shape.
Answer:
268 m²
Step-by-step explanation:
8x26=208
3x10x2=60
208+60=268
is 0.45 greater than 0.5
Answer:
0.5
hope this helps
have a good day :)
Step-by-step explanation:
10
Select the correct answer from the drop-down menu.
The solution set for 6a2 - a -5 = 0 is
Reset
Next
Answer:
a = {-5/6 , 1}
Step-by-step explanation:
6a² - a -5 = 0
Factor
(6a + 5)(a - 1) = 0
Root 1
6a + 5 = 0
6a = -5
a = -5/6
Root 2
a - 1 = 0
a = 1
Solution set
a = {-5/6 , 1)
which table of values would you use to graph y = 3X^2?
Answer:
y because its y i really dont no
write an equivalent expression for 3/5x + 2/5 + 3/5x
please i will give brainliest
Answer:
= 3/5(x) + 3/5(x) + 2/5
= 6/5(x) + 2/5
= 2/5 (3x+1)
Step-by-step explanation:
Answer: [tex]\frac{6}{5}x + \frac{2}{5}[/tex]
This is the same as writing (6/5)x + 2/5
===================================================
Explanation:
Ignore the fraction [tex]\frac{2}{5}[/tex] for now.
The other terms will combine together since they are like terms. We'll add those terms to get:
[tex]\frac{3}{5}x+\frac{3}{5}x\\\\\left(\frac{3}{5}+\frac{3}{5}\right)x\\\\\frac{3+3}{5}x\\\\\frac{6}{5}x\\\\[/tex]
Then we tack on the [tex]\frac{2}{5}[/tex] we ignored earlier to get the final answer of [tex]\frac{6}{5}x+\frac{2}{5}[/tex]