Answer:
-23 to 28 and 30, 32, 36
Step-by-step explanation:
These numbers can be made:
{-23, -22, -21, -20, -19, -18, -17, -16, -15, -14, -13, -12, -11, -10, -9, -8, -7, -6, -5, -4, -3, -2, -1, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 30, 32, 36}
For example,
36 = (1+2)(3)(4)-23 = 1 -(2)(3)(4)2(x + 14) = 42 can someone please help me with a step by step explanation
Answer:
Nah bro I gotchu! 2x+28=42
2x=42-28
2x=14
x=7
:)
Step-by-step explanation:
The Marine Corps is ordering hats for all the new recruits for the entire next year. Since they do not know the exact hat sizes they will use statistics to calculate the necessary numbers. This is the data from a sample of the previous recruits: 7.2, 6.8, 6, 6.9, 7.8, 6.2, 6.4, 7.2, 7.4, 6.8, 6.7, 6, 6.4, 7, 7, 7.6, 7.6, 6, 6.8, 6.4 a. Display the data in a line plot and stem-and-leaf plot. (These plots don’t need to be pretty; just make sure I can make sense of your plots.) Describe what the plots tell you about the data. b. Find the mean, median, mode, and range. c. Is it appropriate to use a normal distribution to model this data? d. Suppose that the Marine Corps does know that the heights of new recruits are approximately normally distributed with a mean of 70.5 inches and a standard deviation of 1.5 inches. Use the mean and standard deviation to fit the new recruit heights to a normal distribution and estimate the following percentages. d1. What percent of new recruits would be taller than 72 inches? d2. What percent of new recruits would be shorter than 67.5 inches? d3. What percent of new recruits would be between 69 and 72 inches? d4. Between what two heights would capture 95% of new recruits?? By using statistics are the numbers changed to whole numbers?
Answer:
60-|||
61-
62-||
62
64-|||
65
66
67-|
68-|||
69-|
70-||
71
72-||
73
74-||
75
76-||
77
78-|
This is a stem and leaf plot.
mean is 138.2/20=6.91
median of 20 is half way between 10th and 11th or an ordered plot. The 10th and the 11th are both 6.8, so that is the median.
6.4 and 6.8 are modes, but they are so minimal I would say there isn't a clear mode.
The range is 1.8, the largest-the smallest
This is not a normal distribution.
z=(x-mean) sd
a.(72-70.5)/1.5=1 so z>1 is the probability or 0.1587.
b.shorter than 67.5 inches is (67.5-70.5)/1.5 or z < = -2, and probability is 0.0228.
c.Between 69 and 72 inches is +/- 1 sd or 0.6826.
95% is 1.96 sd s on either side or +/- 1.96*1.5=+/- 2.94 interval on either side of 70.5
(67.56, 73.44)units in inches
Step-by-step explanation:
Anybody get this? Thanks in advanced
Answer:
x = 6 and y = 2
Step-by-step explanation:
2x + 3y = 18 .......... Eqn 1
3x - 3y = 12 ........... Eqn 2
Add both Equations to eliminate y
we have
2x + 3x + 3y - 3y = 18 + 12
5x = 30
Divide both sides by 5
5x / 5 = 30/5
x = 6
Substitute x = 6 into any of the Equations
Using equation 1
we have
2(6) + 3y = 18
3y = 18 - 12
3y = 6
Divide both sides by 3
That's
3y/3 = 6/3
y = 2
Therefore x = 6 and y = 2
Hope this helps
A rectangular prism made of wood has a length of 10 centimeters, a width of 8 centimeters, and a height of 12 centimeters. A rectangular hole
with a length of 2 centimeters and a width of 3 centimeters is cut through the prism as shown. What is the volume of the resulting figure?
3 cm
2 cm
12 cm
8 cm
10 cm
Answer: its B 888 cm
Step-by-step explanation: hope this helps let me know if wrong ill fix it
Find equations for the tangent lines and the normal lines to the hyperbola for the given value of x. (The normal line at a point is perpendicular to the tangent line at the point.)
Answer:
P (7, 28)
Step-by-step explanation:
Carlos mixed 3 1⁄2 cups of red paint with 4 1⁄2 cups of yellow paint to make an orange paint. How many cups of red paint and how many cups of yellow paint will Carlos need to make 12 cups of the same shade of orange paint? Solve in at least three different ways.
Answer:
The answer is " red cups is "5.25""
Step-by-step explanation:
Given:
red paint= [tex]3\frac{1}{2}= \frac{7}{2} =3.5[/tex]
yellow paint= [tex]4\frac{1}{2}= \frac{9}{2} =4.5[/tex]
total cups=12
i) The Ratio of red and yellow is= 3.5 : 4.5
If the red cups are= [tex]\frac{3.5}{8}[/tex]
number of red cups:
[tex]\to \frac{3.5}{8}\times 12\\\\\to \frac{3.5}{2}\times 3\\\\\to 3.5\times 1.5\\\\\to 5.25[/tex]
ii)
[tex]\to 3.5x+4.5x=12......(a)\\\\\to 8x=12\\\to x=\frac{12}{8}\\\\\to x=\frac{3}{2}\\\\[/tex]
put the value of x in equation (a):
[tex]\to 3.5 \times \frac{3}{2}+4.5\times \frac{3}{2}=12\\\\\to 35 \times \frac{3}{20}+45\times \frac{3}{20}=12\\\\\to 5.25+6.75=12[/tex]
iii)
if [tex]\frac{4.5}{8} \times 12= 6.75[/tex] yellow cups used in making orange paint
so, red paint +yellow paint = total cups
let, red paint cups =x
⇒x+6.75=12
⇒x=12-6.75
⇒x=5.25
The value of red cups is 5.25.
Heather is writing a quadratic function that represents a parabola that touches but does not cross the x-axis at x = –6. Which function could Heather be writing? f(x) = x2 + 36x + 12 f(x) = x2 – 36x – 12 f(x) = –x2 + 12x + 36 f(x) = –x2 – 12x – 36
Answer:
f(x) = –x^2 – 12x – 36
Step-by-step explanation:
The parent function, x^2, touches the x-axis at x=0. Translating it 6 units left replaces x with x-(-6) = x+6, so the function is ...
f(x) = (x+6)^2 = x^2 +12x +36
Reflecting the graph across the x-axis doesn't change the x-intercept, so Heather could be writing ...
f(x) = -x^2 -12x -36
It's D.
I have to have at least 20 characters.
Which best describes the relationship between the line that passes through the points (-9, 2) and (-5, 4) and the line that passes through the points (-3, 4) and (1, 6)?
Answer:
Parallel!
Step-by-step explanation:
If you put these points on a graph and connect the dots to be two lines, they are perfectly side to side :)
In a marketplace, a box of peaches can be purchased for $78.95 per box. One box contains 50 peaches. How much would you have to pay to buy 9 peaches?
(Hint: Convert 9 peaches into dollars.)
Round your answer to the nearest hundredth. Do not type the units ($) in the space below.
Answer:
The cost of 9 peaches will be 9/50 th of the price of 50 peaches. Therefore, the answer is 9/50 * 78.95 ≈ $14.21.
Answer:
14.21
Step-by-step explanation:
To find the cost of 9 peaches, you would need to find the cost of one peach. To do this, you would need to divide 78.95 by 50. This comes out to 1.579 per peach. To find the cost of nine peaches, you would multiply this number by 9 to get 14.211. We are not done yet since you have to round to the nearest hundredth. When rounded, you get 14.21.
Hence,
the cost of nine peaches is 14.21 dollars.
Hope this helps!!! PLZ MARK BRAINLIEST!!!
5. Which of the following is an equivalent form of the parabola y = x - 4x - 12 that displays
the x-intercepts?
A) y + 12 = x² - 4x
B) y = (x - 2)2 - 16
C) y=(x-6) (x + 2)
D) y = x (x – 4) - 12
Answer:
Your answer is B. Tell me if you need graphics)
it would be C
My best assumption here is you misplaced x^2 in this function. Mostly what is done with the answer C is the function is being FACTORED, and broken down into its simplest form.
One movie ticket costs $7, and one small bag of popcorn costs $3. Write two equivalent expressions for the total cost of four movie tickets and four bags of popcorn. Then find the cost. a. 4($7 + $3), 4($7) + 4($3); $40 c. $4(7 + $3), $4(7) + $4($3); $12 b. 4($7 x $3), 4($7) x 4($3); $84 d. $4($7), $4($3); $28
Answer:
Option A
Step-by-step explanation:
=> 1 ticket = $7
=> 1 bag = $3
Expression # 1:
=> 4($7+$3)
Expression # 2:
=> 4($7)+4($3)
Solving it:
=> $28+$12
=> $40
Answer:
4(7+3)=28+12=40, 4(3)+4(7)
Answer: A and C
Step-by-step explanation:
A line through the points (2, -9) and (j, 17) is parallel to the line 2x + 3y = 21. What is the value of j?
Answer:
j = -37
Step-by-step explanation:
First find the slope of 2x + 3y = 21
Solve for y
Subtract 2x from each side
2x-2x + 3y =-2x+ 21
3y = -2x+21
Divide by 3
3y/3 = -2x /3 + 21/3
y = -2/3 x +7
This is in slope intercept form y = mx+b where m is the slope and b is the y intercept
m = -2/3
The slope of parallel lines are equal
Using the two points
m = (y2-y1)/(x2-x1)
-2/3 = (17 - -9)/(j-2)
-2/3 = (17 +9)/(j-2)
Using cross products
-2(j-2) = 3 ( 17+9)
-2j +4 = 26*3
-2j +4 = 78
Subtract 4 each side
-2j = 78-4
-2j = 74
Divide by -2
-2j/-2 = 74/-2
j = -37
A bag contains 75 marbles:35 are blue and 25 of these blue marbles are swirled. The rest of them are red, and 30 of the red ones are swirled. The marbles that are not swirled are clear. What is the probability of drawing? (a) A blue marble (b) A blue swirled marble (c) A red clear marble.
Answer:
a) 35/75
b)25/75
c)10/75
Step-by-step explanation:
Want Brainliest? Get this correct Which of the following is the quotient of the rational expressions shown below? Make sure your answer is in reduced form.
Answer:
B.
Step-by-step explanation:
First, notice that we can cancel out an x in the second term. Thus:
[tex]\displaystyle \frac{3x^2}{x^2+x} =\frac{3x^2}{x(x+1)} =\frac{3x}{x+1}[/tex]
As with the last question, change the sign to multiplication and "flip" the second term:
[tex]\displaystyle \frac{2x-1}{x+1}\cdot \frac{x+1}{3x}[/tex]
Multiply straight across:
[tex]\displaystyle =\frac{(2x-1)(x+1)}{(x+1)(3x)}[/tex]
We can cancel the (x + 1) term:
[tex]\displaystyle =\frac{2x-1}{3x}[/tex]
This cannot be simplified further. Hence, our answer is B.
Answer:
It is B)
Step-by-step explanation:
Ap3x Approved
A bread recipe calls for 2 1/2 cups of whole wheat flour 2/3 cups of rice flour 2 1/4 cups of white flour how many total cups of flour are needed write your answer as a simplified mixed number
Answer:
5 5/12
Step-by-step explanation:
you find the common denominator which is 12
2 6/12
8/12
2 3/12
now u add them all
hope this helps
Answer:
5 5/12 cups
Step-by-step explanation:
Find the area of the irregular figure. Round to the nearest hundredth.
Answer:
23.14
Step-by-step explanation:
Solve for the area of the figure by dividing it up into parts. You can divide into a half-circle and a triangle
Half-Circle
The diameter is 6. This means that the radius is 3. Use the formula for area of a circle. Divide the answer by two since you only have a half-circle.
A = πr²
A = π(3)²
A = 9π
A = 28.274
28.274/2 = 14.137
Triangle
The base is 3 and the height 6. Use the formula for area of a triangle.
A = 1/2bh
A = 1/2(6)(3)
A = 3(3)
A = 9
Add the two areas together.
14.137 + 9 = 23.137 ≈ 23.14
The area is 23.14.
Answer:
23 sq. unitsStep-by-step explanation:
The figure consists of a semi circle and a triangle
Area of the figure = Area of semi circle + Area of triangle
Area of semi circle is 1/2πr²
where r is the radius
radius = diameter/2
radius = 6/2 = 3
Area of semi circle is
1/2π(3)²
1/2×9π
14.14 sq. units
Area of a triangle is 1/2×b×h
h is the height
b is the base
h is 6
b is 3
Area of triangle is
1/2×3×6
9 sq. units
Area of figure is
14.14 + 9
= 23.14
Which is 23 sq. units to the nearest hundredth
Hope this helps you.
When five times a number is decreased by 8, the result is 7. What is the number?
The number is
Answer:
3
Step-by-step explanation:
5x - 8 = 7
5x = 7+8
5x = 15
x = 15 ÷ 5
x = 3
Which measurements could create more than one triangle?
2 of 4 QUESTION
A triangle with sides measuring 10 cm and 20 cm and an included angle
measuring 65°
A triangle with sides measuring 15 inches, 20 inches, and 25 inches
O A triangle with sides measuring 20 cm, 9 cm, and 10 cm
O A right triangle with acute angles measuring 45° and 45°
Answer: A right triangle with acute angles measuring 45° and 45°
Step-by-step explanation:
This question is related to the criteria of congruence for triangles.
The criteria are:
SSS (you know the 3 sides)
SAS (you know two sides, and the angle between those two sides)
ASA (you know two angles, and the side between those two angles)
AAS (you know two angles, and one side).
So for the given examples, the only one that does not reach any of those criteria is the last option, where we only have the angles:
45°, 45° and 90°.
This means that we can craft multiple triangles with this data:
this is a triangle rectangle where the length of the cathetus is the same, that is the only restriction.
For example we can have lengths:
1, 1 and √2
or 2, 2 and √(2^2 + 2^2) = √8
Answer:
A right triangle with acute angles measuring 45° and 45°
Step-by-step explanation:
How many solutions does the system have? { y = − 3 x + 9 3 y = − 9 x + 9 ⎩ ⎪ ⎪ ⎨ ⎪ ⎪ ⎧ y=−3x+9 3y=−9x+9
Answer:
no solutions
Step-by-step explanation:
y = − 3 x + 9
3 y = − 9 x + 9
Multiply the first equation by -3
-3(y )=-3( − 3 x + 9)
-3y = 9x -27
3 y = − 9 x + 9
-------------------------
0 = 0 -18
0 = -18
This is never true so there are no solutions
Answer:
for kahn academy -- b -- ( no solutions)
Step-by-step explanation:
2. A line passes through the point (0,4).
The gradient of this line is 2.
Write down the equation of this line
Answer:
[tex]\boxed{y = 2x+4}[/tex]
Step-by-step explanation:
Gradient = m = 2
Y-intercept = b = 4 (Because here x = 0 as in the point (0,4))
So, the equation becomes
=> [tex]y = mx+b[/tex]
=> [tex]y = 2x+4[/tex]
US consumers are increasingly using debit cards as a substitute for cash and checks. From a sample of 100 consumers, the average amount annually spent on debit cards is $7,790. Assume that this average was based on a sample of 100 consumers and that the population standard deviation is $500.
A. At 99% confidence, what is the margin of error?
B. Construct the 99% confidence interval for the population mean amount spent annually on a debit card.
Answer:
A. Margin of error = 128.79
B. The 99% confidence interval for the population mean is (7661.21, 7918.79).
Step-by-step explanation:
We have to calculate a 99% confidence interval for the mean.
The population standard deviation is know and is σ=500.
The sample mean is M=7790.
The sample size is N=100.
As σ is known, the standard error of the mean (σM) is calculated as:
[tex]\sigma_M=\dfrac{\sigma}{\sqrt{N}}=\dfrac{500}{\sqrt{100}}=\dfrac{500}{10}=50[/tex]
The z-value for a 99% confidence interval is z=2.576.
The margin of error (MOE) can be calculated as:
[tex]MOE=z\cdot \sigma_M=2.576 \cdot 50=128.79[/tex]
Then, the lower and upper bounds of the confidence interval are:
[tex]LL=M-t \cdot s_M = 7790-128.79=7661.21\\\\UL=M+t \cdot s_M = 7790+128.79=7918.79[/tex]
The 99% confidence interval for the population mean is (7661.21, 7918.79).
If a person invests $290 at 6% annual interest, find the approximate value of the investment at the end of 15 years.
Answer:
$261
Step-by-step explanation:
Simple equation to remember.
I = PRT
In this case, "I" means investment, "P" means principal, a fancy term for saying the starting money, "R" means rate in decimal form (just move the decimal two places to the left to convert the percent to decimal), and "T" means time, which is usually in years.
All you do is just plug in 290 as P, 0.06 as R, and 15 as the T, and then you multiply that all together to get.
However, this is only the simple investment equation, there are other equations such as the compound equation used for interest. I'm assuming you're only using the normal interest equation.
-73 + 28
Can anybody help me with this
Answer:
-45 is the answer
Step-by-step explanation:
PLZZ MARK BRAINLIEST
a patient receives 65 grams of medicine if its increased by 20% how many grams is that
Responda:
13 gramas
Explicação passo a passo:
65 + 20% = 13
The point (3, 6) is on the graph of y= 5f(2(x+3))-4 . Find the original point on the graph of y=f(x).
Answer:
(12, 2) is the original point on the graph of [tex]y=f(x)[/tex].
Step-by-step explanation:
Given:
[tex]y= 5f(2(x+3))-4[/tex] has a point (3, 6) on its graph.
To find:
Original point on graph [tex]y=f(x)[/tex] = ?.
Solution:
We are given that The point (3, 6) is on the graph of [tex]y= 5f(2(x+3))-4[/tex]
If we put x = 3 and y = 6 in [tex]y= 5f(2(x+3))-4[/tex], it will satisfy the equation.
Let us the put the values and observe:
[tex]6= 5f(2(3+3))-4\\\Rightarrow 6= 5f(2(6))-4\\\Rightarrow 6= 5f(12)-4\\\Rightarrow 6+4=5f(12)\\\Rightarrow 5f(12)= 6+4\\\Rightarrow 5f(12)= 10\\\Rightarrow f(12)= \dfrac{10}{5}\\\Rightarrow f(12)= 2\\OR\\\Rightarrow 2=f(12)[/tex]
Now, let us compare the above with the following:
[tex]y=f(x)[/tex]
we get y = 2 and x = 12
So, the original point on graph of [tex]y=f(x)[/tex] is (12, 2).
6. the price of an item with a 15% discount
The price of an item with a 15% discount would be 85% of the original price, so if the original price was x, the discounted price would be: [tex]\frac{85x}{100}[/tex]
hey guys please help me
Answer:
5/6
Step-by-step explanation:
The probability of the 10th roll will be 6 is 1 out 6 because there's only one side with 6 (we spouse the dice is not biased) so the probability of the roll not to be 6 is 5/6
What is LCM? And what is the formula for that?
Answer:
LCM stands for Least Common Multiple
To calculate LCM you need to divide the no.s given by smallest divisor going to the greatest until the no.s can be divided no more
The slope of the line passing through the points (7, 5) and (21, 15) is
Answer:
5/7
Step-by-step explanation:
We are given two points so we can find the slope by using
m = (y2-y1)/(x2-x1)
= (15-5)/(21-7)
=10/14
5/7
Write log√3x in expanded form.
Answer:
log (3) log (x)
--------- + ---------
2 2
Step-by-step explanation:
a. distribute to get → log (3) log (x)
--------- + ---------
2 2
Hope this helped! :)
log√(3x) can be written in the expanded form as [tex]\frac{1}{2}[/tex] [log (3) + log (x)].
What are Logarithms?A logarithm is simply the opposite function of the exponentiation.
It is the exponent to which a number or value is raised to get some other number.
That is, if c = aˣ, then we can write it as x =logₐ c.
We know that,
√a can be written as (a) ^(1/2).
Similarly,
log√(3x) = log (3x)^(1/2)
Now, we have a rule for logarithms that, log aᵇ = b log a.
So,
log√(3x) = log (3x)^(1/2)
= [tex]\frac{1}{2}[/tex] log (3x)
Using the multiplication rule of logarithms, log (ab) = log (a) + log(b),
= [tex]\frac{1}{2}[/tex] [log (3) + log (x)]
Hence the expanded form is [tex]\frac{1}{2}[/tex] [log (3) + log (x)].
Learn more about Logarithms here :
https://brainly.com/question/29291192
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