Answer:
52,047.96
Step-by-step explanation:
In a study of reaction times to a specific stimulus, a psychologist recorded these data (in seconds). Find the variance and standard deviation. Use a TI-83 Plus/TI-84 Plus calculator and round the answers to at least two decimal places.
Answer:
s² = 0.7965
s = 0.8925
Step-by-step explanation:
Given the data :
Class limit __ midpoint(x) ___ Frequency
2.1 - 2.7 ______2.4 ________13
2.8 - 3.4 ______3.2 _______ 14
3.5 - 4.1 ______ 3.8 _______ 10
4.2 - 4.8 ______4.5 _______ 6
4.9 - 5.5______ 5.2 ________2
5.6 - 6.2______ 5.9 ________ 1
The midpoint was calculated thus :
(Upper limit + lower limit) / 2
Using a graphing calculator :
The sample variance, s² = 0.7965
The sample standard deviation, s = 0.8925
Write an augmented matrix of each system. Then, solve each system using matrix notation. Describe the solution set in vector notation.
Answer:
The answer is below
Step-by-step explanation:
Given the system of equations:
x + y + 2z = 9
2x + 4y - 3z = 1
3x + 6y - 5z = 0
This system of equation can be solved using matrix. This done by first representing the equations as matrix and then solving:
The matrix form is:
[tex]\left[\begin{array}{ccc}1&1&2\\2&4&-3\\3&6&-5\end{array}\right] \left[\begin{array}{c}x\\y\\z\end{array}\right] = \left[\begin{array}{c}9\\1\\0\end{array}\right] \\\\\\ \left[\begin{array}{c}x\\y\\z\end{array}\right] =\left[\begin{array}{ccc}1&1&2\\2&4&-3\\3&6&-5\end{array}\right] ^{-1} \left[\begin{array}{c}9\\1\\0\end{array}\right] \\\\\\[/tex]
[tex]\left[\begin{array}{c}x\\y\\z\end{array}\right] =\left[\begin{array}{ccc}2&-17&11\\-1&11&-7\\0&3&-2\end{array}\right] \left[\begin{array}{c}9\\1\\0\end{array}\right] \\\\\\ \left[\begin{array}{c}x\\y\\z\end{array}\right] =\left[\begin{array}{c}1\\2\\3\end{array}\right][/tex]
List the intergers below
Answer:
All integers that are below 0 is -1, -4, -2, -8, and -7.
how do i solve this ?
Answer:
[tex]2\sqrt{2}[/tex]
Step-by-step explanation:
The given triangle is an isosceles triangle. However, one can see that it has a right angle (indicated by the box around the angle). Thus the triangle is a (45 - 45 - 90) triangle. A (45- 45 - 90) triangle is the only right isosceles triangle. One of the properties of a right isosceles triangle is that its sides follow the following ratio,
[tex]a;a;a\sqrt{2}[/tex]
Where (a) represents the legs of the right triangle, the sides that are adjacent to the right angle, in this case, the congruent sides. ([tex]a\sqrt{2}[/tex]) is the hypotenuse, the side opposite the right angle.
It is given that the hypotenuse is equal to (4), one is asked to find the length of the legs. To do so, divide the hypotenuse by ([tex]\sqrt{2}[/tex]) to find the legs. One can do this because the triangle is a (45 - 45 - 90) triangle, thus it must follow the ratio of the sides.
[tex]=\frac{4}{\sqrt{2}}[/tex]
Rationalize the denominator,
[tex]\frac{4}{\sqrt{2}}\\\\=\frac{4\sqrt{2}}{2}\\\\=2\sqrt{2}[/tex]
4(x + 3) + 2x in the simplest form
Answer:
6x + 12
Step-by-step explanation:
Distribute the 4 first. Now you have 4x + 12 + 2x. 4x + 2x are like terms and therefore they can be added. Your final simplified answer is therefore 6x + 12.
f(x) = x + 2 when x = 10
Answer:
f(10) = 12
Step-by-step explanation:
f(x) = x + 2
Substitute x for 10.
f(10) = 10 + 2
f(10) = 12
Answer:
12
Step-by-step explanation:
Substitute 10 into x -> 10+2=12
Solve for x.
3x/6 + 1 = 7
x = 12
x = 4
x = 16
A restaurant with 25 tables has 4 tables by the window. Parties are seated randomly at the tables as they come in.
What is the probability that the first 3 parties of the night are all seated at window seats?
The probability that the first 3 parties are selected from the window seats is 0.0041
What is Probability?Probability is a measure of the likelihood of an event to occur. Many events cannot be predicted with total certainty.
Probability can range from 0 to 1, where 0 means the event to be an impossible one and 1 indicates a certain event. The probability of all the events in a sample space adds up to 1.
The probability that a party will be chosen from the window seat is 4/25
Therefore the probability of 3 chosen from the window seat is 4/25×4/25×4/25
= 64/15625= 0.0041
learn more about probability from
https://brainly.com/question/24756209
#SPJ1
Matthew collected data on what types of pets sixth grade students owned.
He asked 200 students and then created this graph.
Based on the circle graph, how many students own a dog?
helpppppppppppppppppppppppppp
Which expression is equivalent to 1/2 (6x + 1/2)
Answer:
3x + 1/4
Step-by-step explanation:
1/2 (6x + 1/2)
Distribute
1/2 * 6x + 1/2 * 1/2
3x + 1/4
this................................................................................................
Answer:
5
Step-by-step explanation:
3-(-2)
the two negative signs cancel out and it turns into
3 + 2
3 + 2 = 5
Answer:
5
Step-by-step explanation:
minus * minus = plus
3-(-2) = 3 + 2 = 5
Calculate the volume of space between the two cylinders in the diagram . Use 3.14 for pi! Show work !
Answer:
116933.6
Step-by-step explanation:
[tex]A_1 = \pi r^2 = 3.14 * 34^2 = 3.14 * 1156 = 3629.84[/tex]
[tex]V_1 = A_1 * h = 3629.84 * 40 = 145193.6[/tex]
[tex]A_2 = \pi r^2 = 3.14 * 15^2 = 3.14 * 225 = 706.5[/tex]
[tex]V_2 = A_2 *h = 706.5 * 40 = 28260[/tex]
[tex]V = V_1 - V_2 = 145193.6 - 28260 = 116933.6[/tex]
What is the answer to
24 + y = 41
Answer:
y=17
Step-by-step explanation:
move the constant to the right hand side and change it's sign
y=41-24
then subtract the numbers y= 41-24
which = 17
Answer: i believe it is 24 + 17 = 41 ^^ can you give me brainly when you get the chance
Step-by-step explanation:
If the original quantity is 14 and new quantity is 35 what is the percent change
Answer:
150%
Step-by-step explanation:
given:
original quantity = 14
new quantity = 35
increased quantity = 35 - 14
=21
percent change = increased quantity /original quentity * 100%
=21/14 *100%
=21100/14 %
=150 %
Question: An expression is shown below: f(x) = x^2 – 6x + 5
Part A: What are the x-intercepts of the graph of f(x)? Show your work.
Part B: Is the vertex of the graph of f(x) going to be a maximum or minimum? What are the coordinates of the vertex? Justify your answers and show your work.
Part C: What are the steps you would use to graph f(x)? Justify that you can use the answers obtained in Part A and Part B to draw the graph.
given a parabola in standard form
y
=
a
x
2
+
b
x
+
c
then the x-coordinate of the vertex can be found using
∙
x
x
vertex
=
−
b
2
a
y
=
x
2
−
6
x
+
5
is in standard form
with
a
=
1
,
b
=
−
6
,
c
=
5
⇒
x
vertex
=
−
−
6
2
=
3
substitute this value into equation for y-coordinate
y
vertex
=
3
2
−
6
(
3
)
+
5
=
−
4
⇒
vertex
=
(
3
,
−
4
)
the axis of symmetry is vertical and passes through the
vertex with equation
x
=
3
to find x-intercepts let y = 0
⇒
x
2
−
6
x
+
5
=
0
the factors of + 5 which sum to - 6 are - 1 and - 5
⇒
(
x
−
1
)
(
x
−
5
)
=
0
equate each factor to zero and solve for x
x
−
1
=
0
⇒
x
=
1
x
−
5
=
0
⇒
x
=
5
⇒
x
=
1
and
x
=
5
←
x-intercepts
graph{(y-x^2+6x-5)(y-1000x+3000)=0 [-10, 10, -5, 5]}
What is the value of “a” in the function equation?
Answer: the value of A is 2
Step-by-step explanation:
40 oz < 3lb
Is it true or false ?
Answer:
True
Step-by-step explanation:
40oz = 2.5 lb
10 = 0.625
Find the area of the triangle, WILL GIVE BRAINLIEST
Answer:
10 cm^2
Step-by-step explanation:
area= 1/2 b*h
1/2 (5) (4)
= 1/2 (20)
=10
area= 10cm^2
Answer:
a = 10cm²
Step-by-step explanation:
a = (1/2)bh
a = (1/2)(5)(4)
a = 10cm²
Simplify each expression by writing the expression without absolute value bars
Answer:
-1
Step-by-step explanation:
When b<4
|b-4| is negative
|b-4| = - ( b-4)
- (b-4) / ( b-4) =
Factoring out (b-4)
-1
I need help please :)
Suppose we want to choose for letters without replacement from 18 distant lovers how many ways can this be done if the order of the choices does not matter
Answer:
This can be done in 3,060 ways.
Step-by-step explanation:
Letters are chosen without replacement, and the order does not matter, which means that the combinations formula is used.
Combinations formula:
[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
In this question:
Four letters from a set of 18. So
[tex]C_{18,4} = \frac{18!}{4!14!} = 3060[/tex]
This can be done in 3,060 ways.
Determinar a posição da reta r, de equação 2x-3y+5=0, em relação à reta s, de equação 4x-6y-1=0
Answer:
[tex]2x - 3y = - 5 - - - (a) \\ 4x - 6y = 1 - - - (b) \\ no \: answers[/tex]
At a sale this week, a suit is being sold for $235.60. This is a 62% discount from the original price.
What is the original price?
Answer:
$620
Step-by-step explanation:
（1-62%）X=235.6
X=235.6/38%
X=620
The original price is $620
Find the surface area of a square pyramid with side length 4 and slant height 5.
Answer:
56
Step-by-step explanation:
the surface area = (4×4) + (4×½×4×5)
= 16 + 40
= 56
PLS HELP
Which is a solution for the inequality -6x – 5 <-23 ?
(1) O
(2) 2
(3) -2
(4) 5
Select the correct answer.
On the curve y = x/3
point P has coordinates (2.0.667). What is the slope of the curve at point P?
A.0.033
B.0.067
C.0.333
D.0.667
Answer:
c and d
Step-by-step explanation:
A certain group of test subjects had pulse rates with a mean of 75.2 beats per minute and a standard deviation of 11.2 beats per minute. Use the range rule of thumb to identify the limits separating values that are significantly low or significantly high. Is a pulse rate of 147.6 beats per minute significantly low or significantly high?
Answer:
The z-score for a pulse rate of 147.6 beats per minute is 6.46 > 2, which means that this pulse rate is significantly high.
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.
By the Range Rule of Thumb, if Z < -2, the measure X is significantly low, and if Z > 2, the measure X is significantly high.
Mean of 75.2 beats per minute and a standard deviation of 11.2 beats per minute.
This means that [tex]\mu = 75.2, \sigma = 11.2[/tex]
Is a pulse rate of 147.6 beats per minute significantly low or significantly high?
We have to find Z when X = 147.6. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{147.6 - 75.2}{11.2}[/tex]
[tex]Z = 6.46[/tex]
The z-score for a pulse rate of 147.6 beats per minute is 6.46 > 2, which means that this pulse rate is significantly high.
Will give BRAINLIEST
Answer:
38 (cm.)
Step-by-step explanation:
1) to calculate the values of 'x' and 'y' (see the picture):
x=10-3-3-2=2 cm.
y=3 cm.
2) to calculate the required perimeter:
10+3+3+6+3+3+2+3+2+3=38 cm.
If a rectangle has a length of 8 centimeters and a width of 5 centimeters, then what is the area of the rectangle in square centimeters?
Answer:
40 centimeters square.
Step-by-step explanation:
Area= length × width
8×5=40
Have a nice day
