find the interquartile range for a data set having the five-number summary: 3.1,9.8,16.1,22.9,28.1
Answer:
Step-by-step explanation:
Steps:
Step 1: Put the numbers in order. ...
Step 2: Find the median. ...
Step 3: Place parentheses around the numbers above and below the median. Not necessary statistically, but it makes Q1 and Q3 easier to spot. ...
Step 4: Find Q1 and Q3. ...
Step 5: Subtract Q1 from Q3 to find the interquartile range.
Answer: 13.1
Step-by-step explanation:
Carson has a smart phone data plan that costs $35 per month that includes 10 GB of data, but will charge an extra $15 per GB over the included amount. How much would Carson have to pay in a month where he used 3 GB over the limit? How much would Carson have to pay in a month where he used went over by x GB?
Answer:
3 GB over: $80 x GB over: $35+$15x
Step-by-step explanation:
First, 3 GB over is 3 times 15 plus 35, which equals 80. x GB over is x times 15 plus 35, hence the answer. Hope this helps!
For using 3GB of data more, she'll be charged $80.
a. Amount charged per month = $35
Amount charged for over-usage = $15 per gb.
Therefore, when she uses 3gb more, the amount charged will be:
= $35 + ($15 × 3)
= $35 + $45.
= $80
When she uses x gb more, the amount that she'll be charged will be:
= $35 + ($15 × x)
= $35 + 15x
= 35 + 15x
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Which linear inequality is represented by the graph?
Answer:
D
Step-by-step explanation:
The correct answer is D
Answer:
D
Step-by-step explanation:
y<2/3 x-1 is the answer
Let f(x)=1/2|x−2|. Write a function g whose graph is a translation 7 units to the left of the graph of f.
Answer:
g(x) = -2(x - 6) - 7
Step-by-step explanation:
Sorry if I'm wrong
Which function can be used to find r, the total amount the teacher pays in dollars when
z scissors are ordered?
A teacher is ordering scissors for her classroom.
• the teacher pays a one-time fee of $8.
• the teacher also pays $2 for each pair of scissors ordered.
the ratio of the temperature of room S to the temperature of room T is 2:3 and the ratio of the temperature of room T to the temperature of room U is 2:3 . Find the ratio of the temperature of room S to the temperature of room U
Step-by-step explanation:
s:t=2:3
t:u=2:3
s:u=?
s/u=2/3
Can someone explain
Answer:
You need to use sohcahtoa to find your answer.
first you gotta identify what sides of the triangle you have.
You're missing the hypotenuse, and you have the value of the adjacent.
since you have the adjacent and need the hypotenuse, you're going to use cosine to find x
cos(65) = 16/x
x = 37.859
Answer:
x = 37.85
this is a standard "trig" question
it requires two pieces of insight.
First that a triangle has 180° interior angles.
from that you can determine that the third angle is 25° because
90 + 65 + β = 180
the red symbol lets you know that it is 90°
the second think that will help is SOHCAHTOA
that is if you have a "right triangle" (one with a 90° angle)
in this problem (in your mind rotate the triangle so the 65° is at the bottom left and the two long sides are pointing up
in this case you have the 16 on the bottom (adjacent to the angle) and
the x is on the hypotenuse...
you have the A& H that is COS
thus you have cos(65) = [tex]\frac{16}{x}[/tex]
x = 37.85
Step-by-step explanation:
30 POINTS!!!!
Select ALL the correct answers.
Identify the two tables which represent quadratic relationships.
Answer:
Tables 4 and 6Step-by-step explanation:
Look at the y-values as x-values are same for all tables.
We see that:
Tables 1 and 5 - linear function as the differences are same.Tables 2 and 3 - exponential function as the ratios are same.Tables 4 and 6 - seem quadratic as there are repeat values showing the symmetry.Find the lateral surface area of the
following prism:
5 cm
5 cm
-apothem = 3.44 cm
5 cm
5 cm
10 cm
5 cm
Answer:
250 cm²
Step-by-step explanation:
Lateral area of the prism is,
5×10×5
= 250 cm²
Lateral surface area of the given prism is equals to [tex]250cm^{2}[/tex].
What is lateral surface area?" Lateral surface area is defined as the sum of area of the all the surfaces except top and bottom of the given geometrical shape."
Formula used
Lateral surface area of pentagonal prism [tex]=5ah[/tex]
[tex]a=[/tex] edge length of the base
[tex]h=[/tex] height of the prism
According to the question,
For the given pentagonal prism,
Edge length of the base [tex]'a' = 5cm[/tex]
Height of the prism [tex]'h' = 10cm[/tex]
Substitute the value in the formula of lateral surface area we get,
Lateral surface area of pentagonal prism [tex]= 5 \times 5\times 10[/tex]
[tex]= 250cm^{2}[/tex]
Hence, lateral surface area of the given prism is equals to [tex]250cm^{2}[/tex].
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answer please it's urgent
Answer:
HOPE IT HELP YOU . Plz tell me if it is write or wrong .
Simplify the complex number √-16+8.
Answer:
[tex]\sqrt{-16} +8[/tex]
[tex]=4i+8[/tex]
OAmalOHopeO
can i get some help please
Answer:
66 degrees
Step-by-step explanation:
The value of an external angle is the sum of the other two angles of the triangle of which that external triangle is sharing with.
This means that angle 4, or 123 is equal to angle 1 plus angle 3, which is 57 degrees.
We have this equation:
[tex]x+57=123[/tex], where x is the value of angle 1.
Subtracting 57 from both sides, we have
[tex]x = 66[/tex]
Find the missing side
Answer:
x = 14
[tex]h^2 = p^2 + b^2\\h^2 = 7^2 + 12^2\\x^2 = 49 + 144\\x^2 = 193\\so, x = 13.89\\so, x = 14[/tex]
Which will result in a difference of squares?
a
(negative 7 x + 4)(negative 7 x + 4)
b
(negative 7 x + 4)(7 x minus 4)
c
(negative 7 x + 4)(negative 7 x minus 4)
d
(negative 7 x + 4)(4 minus 7 x)
Answer:
C
Step-by-step explanation:
The correct answer is C, love from Gauthmath
Answer:
the correct answer is option C
Step-by-step explanation:
(negative 7 x + 4)(negative 7 x minus 4)
How to solve this plsssss
Answer:
Hope this helps you
Answered by G a u t h m a t h
Use the function below to find F(-4).
F(x) = 2^x
Answer:
Step-by-step explanation:
F(x)=2^x
[tex]F(-2)=2^{-2} =\frac{1}{2^2} =\frac{1}{4}[/tex]
4 of 204 of 20 Questions
Question 4
What is the equation of the line that is parallel to y−5=−13(x+2) and passes through the point (6,−1)?
Answer:
y= -13x+77
Step-by-step explanation:
Parallel lines do not share any points but have the same slope.
First, put the equation y-5=-13(x+2) into slope-intercept form.
y= -13x-21
Slope= -13x
Y-Intercept= (0,-21)
Now that we know the slope...
y-(-1)=-13(x-6)
becomes
y+1=-13x+78
y-1=-13x+78-1
y=-13x+77
EVALUATE: 10x – 2y3 (if x = 5 and y = 2)
Answer:
10*(5) - 2*(2)^3
= 50 - 2*8
= 50 - 16
=34
Answer:
Step-by-step explanation:
với x=5 và y=2
phương trinh trở th a
10* 5 - 2 * 2^ 3
=50 - 2*8
=50 - 16
=34
May anyone help me with this
Answer:
Step-by-step explanation:
y=3(x−3)^2+75
Answer:
(x - 3)² = - 25
Step-by-step explanation:
Given
- 3x² = - 18x + 102 ( add 18x to both sides )
- 3x² + 18x = 102 ( divide through by - 3 )
x² - 6x = - 34
To complete the square
add ( half the coefficient of the x- term)² to both sides
x² + 2(- 3)x + 9 = - 34 + 9
(x - 3)² = - 25
-1 1/4 × -4/5+1/4÷3
5/9×1/11+5/9×4/11-5/9×14/11
Answer:/11-5/9×14/11
Step-by-step explanation:
-4/5+1/4÷3
(a) Write
[tex] {2}^{5} \div {2}^{5} [/tex]
as a single power if 2.
Answer:
2^0
Step-by-step explanation:
When you are dividing 2 exponents with the same base (in this case, 2) you subtract them. 2^5 ➗ 2^5 => 2^(5-5) = 2^0 => which is equal to 1, but the answer here would be 2^0.
There are two ways to go about this problem.
The first way, the generic way, is to know that,
[tex]\frac{a^n}{a^m}=a^{n-m},a\neq0[/tex].
So,
[tex]\frac{2^5}{2^5}=2^{5-5}=\boxed{2^0}[/tex].
The second way is to realise that both numerator and denominator are equal and when diving two equal numbers you obtain 1. (except when diving zeros) aka,
[tex]\frac{a}{a}=1, a\neq0[/tex]
And 1 equals to any number raised to the power of zero,
[tex]a^0=1,a\neq0[/tex]
So we just have to say that the 1 we got is rewritten as some base to the power of zero.
Since our base needs to be 2, we just simply say,
[tex]2^0[/tex].
Et Viola.
Hope this helps.
Question
If a 45°-45°-90° triangle has a hypotenuse length of 72, what is the length of each leg of the triangle?
Select the correct answer.
O 7V2
O 7
O V2
O 2
Answer: B
Step-by-step explanation:
We are given that a 45-45-90 triangle has a hypotenuse of [tex]7\sqrt{2}[/tex].
In a 45-45-90 triangle, the legs are congruent. Therefore we can use the Pythagorean Theorem to solve.
[tex]a^2+a^2=(7\sqrt{2})^{2}[/tex] [combine like terms]
[tex]2a^2=(7\sqrt{2})^2[/tex] [square root both sides]
[tex]a\sqrt{2} =7\sqrt{2}[/tex] [divide both sides by root 2]
[tex]a=7[/tex]
Now, we know that a leg is length 7, which is B.
Who can do 20 assignments in math for me rn needs to b finish in 5 hours?
u need to finish 4 assignments in 1 hour
arctanx=arccos(-5/13)
i know that there is no solution but i need to know how to get there
help me solve the trig equation for x!!
If φ = arccos(-5/13), then cos(φ) = -5/13. Since this is negative, you know φ is an angle that terminates either the second or third quadrant.
arctan(x) has a range of -π/2 < arctan(x) < π/2, which is to say that arctan(x) is an angle that terminates in either the first or fourth quadrant.
These quadrants don't overlap, so there is no solution to the equation.
All of the following statements are true, except for which?
A. LIZM
B. FG = JK
C. ZJE ZF
D. LMHG
except for letter a. LIZM
if the area is 1 then what is the side length of a square?
Answer:
1
Step-by-step explanation:
Since we are taking the area of a square, you can take the square root of its area to find the side lengths.
√1 = 1
Geometry homework I need help pls pls pls
Answer:
vertex of 4 is 2
Step-by-step explanation:
cuh cuh uchuch uch uch uch
If angle C is 120
degrees, what is the
measure of angle D?
Answer:
If angle C is supplementary to angle D, then angle D is 60 degrees.
If angle C is corresponding, vertical, alternate interior, or alternate exterior to angle D, then angle D is 120 degrees.
Please help I don’t understand math
Answer:
x = 12
Step-by-step explanation:
The sum of the two smaller angles is 140
80+5x = 140
Subtract 80 from each side
80+5x-80 =140-80
5x = 60
Divide each side by 5
5x/5 = 60/5
x = 12
What is the quadratic regression equation that fits these data?
Number of seconds Helght (In feet)
0
12
1
14
2
15
3
14
4
10
5
6
O A. y=-1.94x2 + 0.62x+ 9.62
B. y = -3.69x2 + 2.08x+8.07
O C. y = 15.68(0.88)
O D. y=-0.89x2 + 3.24x+11.93
SUBMIT
Answer:
Step-by-step explanation:
The answer is D. Use the Stat and then Edit button on your TI calculator to edit the values in L1 and L2 tables. In L1 enter 0, 1, 2, 3, 4, 5 and then arrow over and enter the y values into L2 the same way. Enter the number 12, then hit enter; enter the number 14, hit enter; enter the number 15 and then hit enter, etc. Do the same for the values that are going into L1.
When that is done, hit the Stat button again and arrow down to QuadReg and hit enter. Depending upon your calculator, you may have to arrow down to "calculate" or the calculator may display the equation immediately after hitting QuadReg. Again, it all depends upon your calculator.
The required correct quadratic regression equation that fits the given data is y = -0.89x² + 3.24x+11.93. Option D is correct.
What is the equation?The equation is the relationship between variables and represented as y = ax + b is an example of a polynomial equation.
Here,
To find the quadratic regression equation, we need to use a calculator or software that can perform a quadratic regression analysis. Using such a tool, we obtain the following equation:
y = -0.89x² + 3.24x+11.93
This equation fits the data points (0, 12), (1, 14), (2, 15), (3, 14), (4, 10), and (5, 6) with a high degree of accuracy.
The equation is in the form of a quadratic function, which has a parabolic shape when graphed. The coefficient of the x² term (-0.89) indicates that the parabola is downward-facing, while the other coefficients determine the exact shape and position of the parabola.
Option A is incorrect because its equation does not fit the data points accurately. Option B is also incorrect because it is not a quadratic equation, and option C is incorrect because its equation also does not fit the data points accurately.
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