Dividing both into this (15 x 32) below.
15=10+5
32=30+2 and both of the equations will give you the result of 4 partial products.
10x30=300
5x30=150
10x2=20
5x2=10
Suppose you scored an 80 on a measure where the mean is 65 and the standard deviation is 5. How many standard deviations from the mean is your score
Answer:
The score is 3 standard deviations from the mean
Step-by-step explanation:
To find this, we simply calculate the z-score
Mathematically;
z-score = (x-mean)/SD
In this question , x = 80
mean = 65
SD = 5
Thus;
z-score = (80-65)/5 = 15/5 = 3
Show that each conjecture is false by finding a counterexample.
1.For any integer n, n3 > 0.
2. Each angle in a right triangle has a different measure.
3.For many years in the U.S, each bank printed its own currency. The variety of different bills led to widespread counterfeiting. By the time of the Civil War, a significant fraction of the currency in circulation was counterfeit. If one soldier had 48 bills, 16 of which were counterfeit, and another soldier had 39 bills, 13 of which were counterfeit, make a conjecture about what fraction of bills were counterfeit at the time of the Civil War.
Answer:
1. [tex]n: n^3 > 0[/tex] is not true for negative integers
2. [tex]45\ and\ 45[/tex] show that all angles do not have different measure
3. [tex]Fraction = \frac{1}{3}[/tex]
Step-by-step explanation:
Solving (1):
[tex]n: n^3 > 0[/tex]
Take
[tex]n = -1[/tex]
[tex]-1^3 = -1[/tex]
[tex]n: n^3 > 0[/tex] is not true for negative integers
Solving (2):
The angles of a right angled triangle are:
[tex]45, 45\ and\ 90[/tex]
[tex]45\ and\ 45[/tex] show that all angles do not have different measure
Solving (3):
When
[tex]Bills = 48[/tex]
[tex]Counterfeit = 16[/tex]
The fraction is calculated as thus:
[tex]Fraction = \frac{Counterfeit}{Bills}[/tex]
[tex]Fraction = \frac{16}{48}[/tex]
[tex]Fraction = \frac{1}{3}[/tex]
Similarly, when
[tex]Bills = 39[/tex]
[tex]Counterfeit = 13[/tex]
[tex]Fraction = \frac{Counterfeit}{Bills}[/tex]
[tex]Fraction = \frac{13}{39}[/tex]
[tex]Fraction = \frac{1}{3}[/tex]
Question 3
20 pts
The Indians won 14 out their last 20 games. What percent of their games
did they win?
Answer:
They won 70% of their games.
Step-by-step explanation:
Convert your fraction to a percentage.
Divide 14 by 20, which gets you 0.70.
Then multiply it by 100, which gives you 70.
Now you have a fraction of 70/100.
That's how you get 70%
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Answer:b
Step-by-step explanation: first find the constant of proportionality (y=Kx) and substitute k for 10 because 30/3=10 and then your equation should look like y=10x now see the hours because the person travels 10 mph
- Austin is paid a salary of $350 weekly. What are his yearly earnings?
Answer:
average, he earns 16,800 dollars in 1 year
Step-by-step explanation:
he is paid 350 dollars a week
there are 4 weeks in a month and 12 months in 1 year.
350*4=1400
1,400*12 is 16,800.
Determine the convergence or divergence of the sequence with the given nth term. If the sequence converges, find its limit. (If the quantity diverges, enter DIVERGES.) an
The sequence converges to a limit of 1/2.
We have,
Let's simplify the nth term of the sequence:
an = (n^2 + 3n) / (2n^2 + 5)
Dividing both the numerator and denominator by n^2, we get:
an = (1 + 3/n) / (2 + 5/n^2)
As n approaches infinity, the terms 3/n and 5/n^2 both tend towards zero.
Therefore, we have:
an = (1 + 0) / (2 + 0) = 1 / 2
The nth term of the sequence simplifies to a constant value of 1/2 as n approaches infinity.
Since the nth term converges to a specific value (1/2), the sequence itself is convergent.
The limit of the sequence is 1/2.
Thus,
The sequence converges to a limit of 1/2.
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The complete question:
Determine the convergence or divergence of the sequence with the given nth term. If the sequence converges, find its limit. (If the sequence diverges, enter DIVERGES.)
Consider the sequence defined by the nth term an = (n^2 + 3n) / (2n^2 + 5).
At one gas station, gas costs $2.75 per gallon. Write an equation that relates the total cost, C , to the number of gallons of gas purchased, g.
Answer:
C = 2.75g
Step-by-step explanation:
The total cost of the gas purchased is the product of the price per gallon and the number of gallons.
Hope this helps. :)
what is the slope of the line shown below?
Answer:
A
Step-by-step explanation:
the answer is A because you can tell the line has a negative slope since its going from left to right rather than right to left and then you do rise/run so the rise=2 and the run=3 so the answer for slope would be -2/3
Answer:
-2/3
Step-by-step explanation:
First you need to find two exact points the use your formula. I used (0,1) and (-3,3).
y2-y1 / x2-x1
Or just use rise over run and count up 2 and across to the left 3 and also realize it's a negative slope going down from the left so your answer will be negative.
I hope I helped you. You can comment if you need anymore help.
The rectangle below has been enlarged by a scale of 3.5
Answer:
D: 588
Step-by-step explanation:
The rectangle below has been enlarged by a scale of 3.5
8 x 3.5 = 28
6 x 3.5 = 21
Follow the steps to find the value of x
1.Addition property of equality.
1/5(x)-2/3=4/3
1/5(x)-2/3+2/3=4/3+2/3
2.Multiplicative property if equality.
1/5(x)5/1=6/3(5/1)
The solution is x=
Answer:
its 10
Step-by-step explanation:
I got it right
Use the Pythagorean Theory and the following information to determine the length of the third side of a right triangle which has a hypotenuse of 30 and leg “a” equal 18
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Answer:
it is already an equation
Step-by-step explanation:
Answer:
Already and equation!
Step-by-step explanation:
Write 4.399 as a ratio of two integers. Enter your answer as a reduced improper fraction.
Answer:
Rewrite the decimal number as a fraction with 1 in the denominator
4.399=4.3991
Multiply to remove 3 decimal places. Here, you multiply top and bottom by 103 = 1000Rewrite the decimal number as a fraction with 1 in the denominator
4.399=4.3991
Multiply to remove 3 decimal places. Here, you multiply top and bottom by 103 = 10004.3991×10001000=43991000
Simplify the improper fraction,
=43991000
In conclusion,
4.399=43991000
We have that [tex]\frac{4399}{1000}[/tex] is the reduced improper fraction of [tex]4.399[/tex]
[tex]\frac{4399}{1000}[/tex]
From the Question we are told that
Write 4.399 as a ratio of two integers
Generally to reduce 4.399 to an improper fraction we have that
[tex]\frac{4399}{1000}=4.399[/tex]
Improper action representation of the given integer
We proceed to reducing the fraction .We see that the are no means to reduce the fraction
Therefore
[tex]\frac{4399}{1000}[/tex] is the reduced improper fraction of [tex]4.399[/tex]
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A scientist is measuring the temperature change in a chemical compound. The temperature dropped 11 degrees Fahrenheit per hour from the original temperature. After 4 hours, the temperature was 90 Degree Fahrenheit. Find the compound’s original temperature.
Answer:
4 * 11 = 44 --> 44+ 90 = 134
Step-by-step explanation:
Six times the sum of a number and eight is 18 find the number
Answer:
-5
Step-by-step explanation:
Find the number with the equation 6(x + 8) = 18
solve for x to get -5
Step-by-step explanation:
6*(x+8)=18
x+8=18/6=3
x=3-8=-5
prove
(-5+8)+(-5+8)+(-5+8)+(-5+8)+(-5+8)+(-5+8)=
3+3+3+3+3+3=18
Evaluate each expression if a=5, b= -8, and c= -9.
g. b-10
h. a-b
I. c-a
Answer:
g. -18, h. 13, I. -14
Step-by-step explanation:
g. b-10=-8-10=-18
h. a-b=5-(-8)=5+8=13
I. c-a=-9-5=-14
The approximate z-score that corresponds to a right tail area of 0.45 is?
Answer: 0.1257
Step-by-step explanation:
Let [tex]z_0[/tex] be the z-score that corresponds to a right tail area of 0.45.
We need to find [tex]z_0[/tex] such that [tex]P(z>z_0)=0.45[/tex]
From the z-score table, z-value corresponds for area of 0.45 is 0.1257.
That means [tex]z_0=0.1257[/tex]
Hence, the approximate z-score that corresponds to a right tail area of 0.45 is 0.1257 .
2+1x1000000000000000000
Answer:
30000000000000000.. ....
Review the graph.
On a coordinate plane, the y-axis is labeled imaginary and the x-axis is labeled real. Point z 1 is (4, negative 3) and point z 2 is (negative 3, 2).
Suppose z3 = z1 – z2.Which quadrant contains z3?
quadrant I
quadrant II
quadrant III
quadrant IV
The position of z3 is (d) quadrant IV
The given parameters are:
[tex]\mathbf{z_1 = (4,-3)}[/tex]
[tex]\mathbf{z_2 = (-3,2)}[/tex]
The expression for z3 is given as:
[tex]\mathbf{z_3 = z_1 -z_2}[/tex]
So, we have:
[tex]\mathbf{z_3 = (4,-3) - (-3,2)}[/tex]
This gives
[tex]\mathbf{z_3 = (4 + 3,-3 - 2)}[/tex]
[tex]\mathbf{z_3 = (7,-5)}[/tex]
When the x-coordinate is positive, and the y-coordinate is negative, the point is in the fourth quadrant.
Hence, the position of z3 is (d) quadrant IV
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What is the slope of line passing through (2, 7) and (4, - 6)?
Answer:
The slope is -13/2x + 20. In decimal form, -6.5x + 20
what is 10x9= what is the answer to my questions slows
Answer:
90.
Step-by-step explanation:
10, 9 times, means you're adding 10+10+10+10+10+10+10+10+10=90.
Name the slope and one point that is on the line
represented by the equation: y-6 = 9(x - 1)
A) m = -9 and point (-1,-6)
B) m = 9 and point (-1,-6)
C) m = 9 and point (1,6)
D) m = -9 and point (1,6)
Answer:
B
Step-by-step explanation:
the correct answer is b
Terminating vs. Repeating
Some rational number, such as 1/2, 3/8, and 2/5 have a finite
decimal (terminating decimal); while others, such as 1/3, have
infinite decimal representation (repeating decimal).
For which positive whole numbers, n, is the decimal
representation of 1/n finite? For which is it infinite? Describe
the pattern, if there is one.
Answer:
If the positive whole number is a multiple of 3, one divided by that number will always be a non-terminating decimal.
Is f^-1(x) = x/9 - 5/9 a function?
⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀_____________
⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀;; ∥ • Given:
⠀[tex]f-¹(x)=\frac{x}{9}-\frac{5}{9}[/tex].
⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀_____________
⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀;; ∥ • To find out:
⠀Is a function [tex]f-¹(x)=\frac{x}{9}-\frac{5}{9}[/tex] or not.
⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀_____________
⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀;; ∥ • Hello, ZoFlo2020!
⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀_____________
⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀;; ∥ • Answer (Response Explanation):
⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀_____________
⠀No, it is not. Such an example is not even possible to solve, to be honest. It doesn’t have a single solution to find at least an approximate part of its solution and answer.
⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀_____________
⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀;; ∥ • Sincerely, Your ElskerNorge! :)
⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀_____________
If the independent variable becomes very large what would be the expected change in the dependent variable
Answer: The independent variable is the variable the experimenter changes or controls and is assumed to have a direct effect on the dependent variable. ... The dependent variable is the variable being tested and measured in an experiment, and is 'dependent' on the independent variable.
Step-by-step explanation:
Graph the system of linear inequalities on the coordinate plane.
y [tex]\geq[/tex] 1/2x + 2 1/2
y< 1/5 x + 6
a. Shade the solution to the system of inequalities.
b. Pick a point and show your solution is correct.
Answer: Images of Graphs are listed below. I am unsure on how to conduct the second part. but there is the first part
Step-by-step explanation:
The cities A, B, and C, in respective order, lie approximately in a straight line. The distance from City A to City B is 100 miles. The distance from City A to City C is 110 miles. Find the distance from CIty B to City C. Distance= __________miles
Answer:
144.66
Step-by-step explanation:
So here we use the Pythagorean theorem assuming that city b to c is the longest distance so we do 100^2+110^2=22100 then the square root 22100 which is approximately 148.66
A carver begins work on the following block of granite that weighs 2700 g. What is the density of the granite? View attachment below... Thank you all so much!!!
Answer:
density = mass/ volume
density= 2700/500
= 25/5 cm 3
(cubic centimeters)
Density of given granite block is [tex]2.7 g/cm^{3}[/tex].
Here,
Weight of granite block is 2700 g.
Dimension of the block is 20 cm, 5 cm, 10 cm.
We have to find the value of density of granite.
What is density?
Density is the substance mass per unit of volume.
Now,
Mass of the block is 2700 g.
Volume of the block = l x b x h
= 20 x 5 x10
=1000
Volume of the block = [tex]1000 cm^{3}[/tex]
Density = mass / volume
⇒ Density = [tex]\frac{2700}{1000}[/tex]
= [tex]2.7[/tex]
Hence, Density of given granite block is [tex]2.7 g/cm^{3}[/tex].
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I need help with this
Answer: 7 - 10⁻²
Steps: 1.4 · 10² / 2 · 10³ = 7 - 10⁻²
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is 33 a prime or a composite number
Answer:
A composite number
Step-by-step explanation:
because it is possible to express it as a product of prime factors. In other words, 33 can be divided by 1, by itself and at least by 3 and 11. So, 33 is a 'composite number'.