The probability that there were at most three successes in a trial is approximately 0.9.
It looks like the histogram shows the probability mass function (PMF) for the number of successes in a trial. The PMF for a random variable gives the probability of each possible value of the random variable.
To find the probability that there were at most three successes in a trial, we need to add up the probabilities of 0, 1, 2, and 3 successes. From the histogram, it looks like the probabilities of these values are approximately 0.2, 0.4, 0.2, and 0.1, respectively. Adding these up, we get an approximate probability of 0.2 + 0.4 + 0.2 + 0.1 = 0.9.
Therefore, the probability that there were at most three successes in a trial is approximate $\boxed{0.9}$.
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Suppose that two high school students decide to see if they get the same results as the
researcher. They both do 30 minutes of aerobic exercise and, immediately following the
exercise, take the test. The mean of their scores is = 25.2 seconds, the same as that of the
publication article. It is appropriate to conclude which of the following?
Complete question is;
A researcher wishes to determine if aerobic exercise improves mental performance immediately following the exercise. He plans to have high school students participate in 30 minutes of aerobic exercise and then take a standard test of their reasoning skills. Suppose the scores of high school students on this test of reasoning skills immediately after 30 minutes of aerobic exercise follow a Normal distribution with mean μ and standard deviation σ = 4. Suppose also that, in the general population of all high school students, scores on the test of reasoning skills follow a Normal distribution with mean 25 and standard deviation σ = 4. The researcher, therefore, decides to test the following hypotheses.
H0 : μ = 25, Ha : μ > 25
To do so, the researcher has 10,000 high school students do 30 minutes of aerobic exercise and then, immediately following the exercise, take the test. The mean score for these students is = 25.2 and the P-value is less than 0.0001.
It is appropriate to conclude which of the following?
Select one:
A. The researcher has conclusively proved that, for high school students, 30 minutes of aerobic exercise substantially improves mental performance.
B. The researcher has strong evidence that, for high school students, 30 minutes of aerobic exercise substantially improves mental performance.
C. The researcher has moderate evidence that, for high school students, 30 minutes of aerobic exercise substantially improves mental performance.
D. None of the above
Answer:
D. None of the above
Step-by-step explanation:
We see that the researcher wants to test the hypotheses;
Null hypothesis; H0 : μ = 25,
Alternative hypothesis; Ha : μ > 25
Population mean = 25 and standard deviation σ = 4
After testing a sample of 1000 students, he discovered that;
Sample size; n = 1000
Sample mean; x¯ = 25.2
After calculations, he got P-value as less than 0.0001.
Now, he can't make any conclusion or evidence for this research because there is no population mean for the aerobic exercise and also no significance value in the entire question to compare the p-value with.
Thus, none of the options are correct.
The first term of an arithmetic sequence is 4. The common difference is 8. What is the 25th term of sequence
Answer:
196
Step-by-step explanation:
T25=4+(25-1)8
=4+192
T25=196
The 25th term of the arithmetic sequence is 196.
The formula that can be used in finding the nth term of an arithmetic sequence will be: = a + (n - 1)d
where,
a = first term = 4
d = common difference = 8
n = number of terms = 25
Therefore, the 25th term of the sequence will be:
= a + (n - 1)d
= 4 + [(25 - 1) × 8]
= 4 + (24 × 8)
= 4 + 192
= 196
The 25th term is 196.
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help. help. help.
no link pls.
Answer:
x + 2, x ≠ -2
Step-by-step explanation:
Note that F(x) = x^2 + 4x + 4 factors into (x + 2)^2, and that we are dividing this by g(x) = x + 2. The quotient is x + 2, which in this problem has been named h(x).
The quotient (f/g)(x) is therefore x + 2 EXCEPT that this is not defined at x = -2, because the denominator, x + 2, will be zero there, undefined.
What is twenty thousand, six hundred two in expanded form?
Answer:
20,000 + 600 + 2 = 20,602
Step-by-step explanation:
twenty thousand = 20,000
six hundred = 600
two = 2
Take those numbers and add them together. You get 20,602
I'm iredy The solution of 20y = 600 is
?
The solution of 20y<600 is all values ?
Answer:
Solution for For Exercise, graph the solution set. −30x ≥ 20y + 600. ... Experts are waiting 24/7 to provide step-by-step solutions in as fast as 30 ... Q: Use the intermediate value theorem to show that the polynomial function has a zero in the ...
Step-by-step explanation:
Answer:
All values less than 30.
Step-by-step explanation:
A dairy farmer delivered milk over two days.
On Monday, he used 5 gallons of fuel to drive 40 miles.
• On Tuesday, he drove 120 miles at an average rate of 10 miles per gallon of fuel.
Determine the miles traveled per gallon of fuel on Monday and the number of gallons of fuel used on
Tuesday,
Answer:
the ans is
Step-by-step explanation:
monday = 40/per gallon
tuesday = 120/per gallon
1) The miles traveled per gallon of fuel on Monday = 4 miles/gallons
2) The number of gallons of fuel used on Tuesday = 12 gallons
What is ratio?"It is a quotient of two mathematical expressions."
What is average rate?"The average rate is the total change in output values divided by the change in the input values."
For given situation,
On Monday,
a dairy farmer used 5 gallons of fuel to drive 40 miles.
So, the miles traveled per gallon of fuel would be the ratio of the distance he drove and the fuel used.
the miles traveled per gallon of fuel:
= 20 / 5
= 4 miles/gallon
Therefore, the miles traveled per gallon of fuel on Monday = 4 miles/gallons
On Tuesday,
he drove 120 miles at an average rate of 10 miles per gallon of fuel.
Let he used 'x' gallons of fuel.
⇒ 10 = 120/x
⇒ 10 × (x) = 120
⇒ x = 120/10
⇒ x = 12 gallons
Therefore, he used 12 gallons of fuel on Tuesday.
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You move down 5 units and right 1 unit. You end at (5,-3). Where did you start?
Answer:
ff
Step-by-step explanation:
Can someone help me? Becks?
Answer:
Perimeter = 72
Step-by-step explanation:
Notice that the adjacent (next to) lengths by each corner are equal in length.
This occurs when the quadrilateral is circumscribed.
Since 4.2 is adjacent to the length which makes up the total side 20.
20 – 4.2 = 15.8.
And 15.8 + 4.2 = 20.
(7 + 9) + (9 + 4.2) + (4.2 + 15.8) + (15.8 + 7) =
(16) + (13.2) + (20) + (22.8) =
(16 + 20) + (13.2 + 22.8) =
36 + 36 =
72
what is 5 3/5 divided by 4/5 =
Answer:
7
Step-by-step explanation:
[tex]5 \frac{3}{5} \div \frac{4}{5} [/tex]
[tex]5 \frac{3}{5} = \frac{5 \times 5 + 3}{5} [/tex]
[tex] \frac{25 + 3}{5} = \frac{28}{5} [/tex]
[tex] \frac{28}{5} \times \frac{5}{4} [/tex]
[tex]28 \frac{1}{4} [/tex]
[tex] = 7[/tex]
Name the postulate or theorem
Answer:
pythagoras theorem
Step-by-step explanation:
Pythagoras theorem states that “In a right-angled triangle, the square of the hypotenuse side is equal to the sum of squares of the other two sides“.
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Find the height in centimeters of a square pyramid with a volume of 296 cm3 and a base edge length equal to the height. Give the approximate answer rounded to 2 decimal places.
Answer:
9.61cm
Step-by-step explanation:
Let height be x thus length will also be x
since the base is a square the width and length are also equal.
volume of pyramid=length×width×height
3
296cm³=x×x×x
3
296×3=x³
888=x³
x= cube root of 888
x=9.61cm
HELP ME ASAP find the equation of the line use exact numbers y=_x+_ HELP ME ASAP
Answer:
The answer would be Y=3X+3 .
Hope it was helpful .
The equation of the line shown in the graph is y = 3x + 3.
What is the equation of line?The equation of the line shown in the graph is determined by calculating the slope and y - intercept of the line as shown below.
The slope of the line is calculated as follows;
m = Δy / Δx
where;
Δy is change in y valuesΔx is the change in x valuesm = ( 9 - 3 ) / (2 - 0 )
m = 6 / 2
m = 3
The y - intercept of the line is the point where the line intersects y-axis.
c = 3
The general equation of a line is given as;
y = mx + c
So our equation of the line becomes;
y = 3x + 3
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find the number set which satisfies each of these problems:
if three is added to the absolute value of the product of a number and -9, the result will be 4
Answer:
The answer is -5.
Step-by-step explanation:
The absolute value of -9 is 9.
Then it would be like 4= x + 9.
If you solve it, you get -5.
Does anyone know how to foil the answer ?!
Answer:
(a+b)(c+d)=a c+a d+b c+b d is the formula
Step-by-step explanation:
Sketch the graph using 3 points that belong to it. y = -3x+2
Answer:
Step-by-step explanation:
Sam's height is 15 centimeters less than 2 times Martha's height. If Sam is 185 centimeters tall, and Martha's height is x, the relationship between the heights can be represented by the equation 2x − 15 = 185. What is Martha's height?
A.
90
B.
95
C.
100
D.
105
Answer:
C
Step-by-step explanation:
S= (2M-15)=185
2m=185+15= 200
m=200÷2= 100cm-C
Jesse’s age is two times Adam’s age and Adam is three years older than Denise. If the sum of their ages is 33, how old is each person.
Answer:
Jesse = 18yrs
Adam = 9yrs
Denise = 6yrs
Step-by-step explanation:
Denise = x
Adam = x+3
Jesse = 2(x+3)
x+x+3+2x+6 = 33
4x+9 = 33
4x = 33-9
4x = 24
x = 6yrs
Substitute :
Denise = 6
Adam = 6+3 = 9
Jesse = 2(6+3) = 2(9) = 18
COLLEGE MATH! HARD!
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Find the formula for the function of the form w(x)= Asin(Bx)+C with an (i) a maximum (3,6),(i) a minimum at (-9,6), and (iii) no critical points between these two points
Help me with this please:)
Answer:
12m
Step-by-step explanation:
a+b=c
a=?
b=9m
c=15m
a+9m×9m=15m×15m
a+81=225
a=225-81
a=144
find its square root
a=12m
Jim runs 3 miles in 28 minutes. At the same rate, how many miles would he run in 42 minutes?
Answer:
9/2 miles or 4.5 miles
Step-by-step explanation:
First lets see how many miles Jim would run in one minute. That would be 3/28 miles in one minute. Than multiply that by 42 and you get 9/2.
an artist is painting a mural on a wall to make sure that the picture is painted accurately to her vision she creates a grid for the wall with each unit measuring a meter in the mural at the second event at 2 to and the event at -2 for the artist plans to fail in the Triangular space between the three events with colored pattern what is the area of the space?
Help I need a equation
9514 1404 393
Answer:
a) y = 3x-1
b) y = x+5
Step-by-step explanation:
a) We notice the x-values change by 1, so the change in the y-value is the slope. -4 -(-7) = 3 is the change between the first two y-values.
The y-intercept is shown by the ordered pair (0, -1). So, the slope-intercept equation is ...
y = 3x -1
__
b) We note that the change in x is 2 units, as is the change in y. Then the slope of the function is m = 2/2 = 1. The y-intercept (b) can be found from ...
b = y -mx
b = 7 -1·2 = 5
Then the slope-intercept equation is ...
y = x + 5
Write the expression in standard form.
(8f - 4 + 1g) - (-29 + 7)
PLEASE HELP !! ILL GIVE BRAINLIEST !! 100 POINTS
The graph of a quadratic function with vertex (1,-3) is shown In the figure below . Find the domain and the range
Answer:
We can not see the graph, but that does not matter.
For a function y = f(x), the domain is the set of the possible values of x that we can input in the function, and the range is the set of the possible outputs.
First, for the domain, we start assuming that the domain is the set of all real numbers.
Then we look at our function, there is a point that causes a problem?
(a problem can be a zero in a denominator, for example)
Well, we have a quadratic equation, then we can not have any "x" in a denominator, then there are not problems, which means that the domain is the set of all real numbers.
For the range we first need to find the minimum (or maximum value) of f(x).
Here we know that the vertex is (1, - 3)
If the arms of the graph open upwards, then the minimum is at the vertex, which means that the minimum value of y is y = -3
And the arms go upwards infinitely, so there is no upper limit.
Then the range is the set of all numbers such that:
-3 ≤ y
Now, if the arms of the graph open downwards, then the maximum is at the vertex, which means that the maximum of our function is at y = -3
And with similar thinking than in the above case, we can find that the range is:
R: y ≤ -3.
Find a equation of the line that passes through the points (-2,-5) and (4,25) express the final answer in slope - intercept form. PLEASE HELP IM BEING TIMED
Answer:
y=5x+5
Step-by-step explanation:
to find the slope of the line: 25-(-5)/4-(-2)=30/6=5
so the slope is 5
to find the y-intercept:
y=5x+b
25=5(4)+b (i used the point (4, 25) and plugged in 4 for x and 35 for y)
b=5
so, the equation of the line is: y=5x+5
Keisha, Justin, and frank have a total of $86 in their wallets. Justin has 3 times what frank has. Keisha has $6 more than frank. How much does each have? Answer ASAP
Answer:
Keisha has 22 dollars, Justin has 48 dollars, and Frank has 16 dollars
What's the correct answer?
Answer:
Step-by-step explanation:
705
Answer I confirm the other persons awnser it is 705
Step-by-step explanation:
Help me please !!!!!!!!!!!!!!
what’s the solution to
Answer:
C
Step-by-step explanation:
When we subtract 9 from both sides we get
[tex]|x|\leq -2[/tex].
Now when we get rid of the absolute value sign, we make two inequalities.
This first is [tex]x\leq -2[/tex] and for the second we need to switch the negative sign to a positive sign and flip the [tex]\leq[/tex] to a [tex]\geq[/tex]. This makes the second equation [tex]x\geq 2[/tex].
P.S. The second equation wasn't an option in the answer.