Answer:
One
Step-by-step explanation:
7x+3x= - 46
10x= - 46
x= - 4.6
one answer
Mae has $189 in her account. A $7 fee is charged each month the balance is below $750.She withdraw $315. If she makes no deposits or withdraws for the next x months express her balance algebraically
Answer:
$189 - $315 - $7x
Step-by-step explanation:
Given the following :
Amount in Mae's account = $189
Each month balance is below $750;
Amount charged = $7
She withdrew $315 from her account and makes no deposit or withdrawal for the next x months
Her balance :
Initial amount = $189
Withdrawal made = $315
Amount charged when balance falls below $750 = fee * number of months = 7 * x = 7x
Hence, her balance after x months will be :
$189 - $315 - $7x
The balance of Mae expressed algebraically will be 189 - 315 - 7x.
The following can be deduced from the question:
Amount in Mae's account = $189Each month balance is below $750Amount charged = $7Therefore, the amount that is left in her account balance will be:
= 189 - 315 - (7 × x)
= 189 - 315 - 7x
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3.2.31
The weight of an organ in adult males has a bell-shaped distribution with a mean of 320 grams and a standard deviation of 20 grams. Us
(a) About 68% of organs will be between what weights?
(b) What percentage of organs weighs between 280 grams and 360 grams?
(c) What percentage of organs weighs less than 280 grams or more than 360 grams?
(d) What percentage of organs weighs between 300 grams and 360 grams?
This question is incomplete
Complete Question
The weight of an organ in adult males has a bell shaped distribution with a mean of 320 grams and a standard deviation of 20 grams. Use the empirical rule to determine the following. A.) About 68% of organs will be between what weights? B.) what percentage of organs weighs between 280 grams and 360 grams? C.) what percentage of organs weighs less than 280 grams or more than 360 grams? D.) what percentage of organs weighs between 300 grams and 360 grams?
Answer:
A.) About 68% of organs will be between what weights?
Therefore, 68% of the organs will weigh between 300 and 340 grams.
B.) what percentage of organs weighs between 280 grams and 360 grams?
95%
C.) what percentage of organs weighs less than 280 grams or more than 360 grams?
5%
D.) what percentage of organs weighs between 300 grams and 360 grams?
81.5%
Step-by-step explanation:
Empirical formula states that:
68% of data falls within 1 standard deviation from the mean - that means between μ - σ and μ + σ .
95% of data falls within 2 standard deviations from the mean - between μ – 2σ and μ + 2σ .
Where:
μ = Population mean
σ = Population standard deviation
From the above question, we have the following information
Mean weight = 320 grams
Standard deviation = 20 grams
a) About 68% of organs weight between:
To solve for this, we would use the empirical rule:
68% of the data values lie within 1 standard deviation of the mean
Hence, 68% of the data values lie in the range:
Mean - 1 standard deviation to Mean + 1 Standard Deviation.
Mean - 1 Standard Deviation
μ - σ
= 320grams - 20grams = 300 grams
Mean + 1 Standard Deviation
μ + σ
= 320grams + 20grams = 340 grams
Therefore, 68% of the organs will weigh between 300 and 340 grams.
B.) what percentage of organs weighs between 280 grams and 360 grams?
Mean weight = 320 grams
Standard deviation = 20 grams
Hence,
x - mean = 280 grams - 320 grams = -40 grams
x - mean = 360 grams - 320 grams = 40 grams
Note that both differences = 2 × standard deviation
Hence, from the empirical formula above,
95% of data falls within 2 standard deviations from the mean - between μ – 2σ and μ + 2σ applies
Therefore, 95% of the organs fall between 280 grams and 320 grams
C.) what percentage of organs weighs less than 280 grams or more than 360 grams?
Mean weight = 320 grams
Standard deviation = 20 grams
Hence,
x - mean = 280 grams - 320 grams = -40 grams
x - mean = 360 grams - 320 grams = 40 grams
So, from the empirical formula above,
95% of data falls within 2 standard deviations from the mean - between μ – 2σ and μ + 2σ applies
Therefore, 95% of the organs fall between 280 grams and 320 grams
It is important to note that finding the percentage of data that weighs less than or more than the given range of values, the formula is given as:
Percentage of Value outside( less than or more than) the range = 100% - Percentage of values within the range
100% - 95%
= 5%
Therefore, the percentage of organs weighs less than 280 grams or more than 360 grams is 5%
D.) what percentage of organs weighs between 300 grams and 360 grams?
Mean weight = 320 grams
Standard deviation = 20 grams
Hence,
x - mean = 300 grams - 320 grams = -20 grams
20 grams = 1 × standard deviation
For 300 grams, the empirical formula that states that:
68% of data falls within 1 standard deviation from the mean - that means between μ - σ and μ + σ applies.
It is important to note that the percentage of values below the mean and above the mean must be the same.
But since this is a bell shaped distribution, the percentage of data between 300 and 320 grams = 68%/2
= 34%
x - mean = 360 grams - 320 grams = 40 grams
40 = 2 × standard deviation
For 360 grams , the empirical formula that states that,
95% of data falls within 2 standard deviations from the mean - between μ – 2σ and μ + 2σ applies
It is important to note that the percentage of values below the mean and above the mean must be the same.
Since this is a bell shaped distribution, the percentage between 320 and 360grams = 95%/2
= 47.5%
Therefore, the percentage of organs that weighs between 300 grams - 360 grams = 34% + 47.5%
= 81.5%
How did the function move from the f(x)=|x| to f(x)=|x+2|
Answer:
Step-by-step explanation:
It shifted to the left 2 units
help please!!! AHAHSBHSBDR
Answer:
a = 8/29 thus: Step 1 is wrong!
Step-by-step explanation:
Solve for a:
8 - a/2 = 3 (4 - 5 a)
Hint: | Put the fractions in 8 - a/2 over a common denominator.
Put each term in 8 - a/2 over the common denominator 2: 8 - a/2 = 16/2 - a/2:
16/2 - a/2 = 3 (4 - 5 a)
Hint: | Combine 16/2 - a/2 into a single fraction.
16/2 - a/2 = (16 - a)/2:
(16 - a)/2 = 3 (4 - 5 a)
Hint: | Make (16 - a)/2 = 3 (4 - 5 a) simpler by multiplying both sides by a constant.
Multiply both sides by 2:
(2 (16 - a))/2 = 2×3 (4 - 5 a)
Hint: | Cancel common terms in the numerator and denominator of (2 (16 - a))/2.
(2 (16 - a))/2 = 2/2×(16 - a) = 16 - a:
16 - a = 2×3 (4 - 5 a)
Hint: | Multiply 2 and 3 together.
2×3 = 6:
16 - a = 6 (4 - 5 a)
Hint: | Write the linear polynomial on the left hand side in standard form.
Expand out terms of the right hand side:
16 - a = 24 - 30 a
Hint: | Move terms with a to the left hand side.
Add 30 a to both sides:
30 a - a + 16 = (30 a - 30 a) + 24
Hint: | Look for the difference of two identical terms.
30 a - 30 a = 0:
30 a - a + 16 = 24
Hint: | Group like terms in 30 a - a + 16.
Grouping like terms, 30 a - a + 16 = (-a + 30 a) + 16:
(-a + 30 a) + 16 = 24
Hint: | Combine like terms in 30 a - a.
30 a - a = 29 a:
29 a + 16 = 24
Hint: | Isolate terms with a to the left hand side.
Subtract 16 from both sides:
29 a + (16 - 16) = 24 - 16
Hint: | Look for the difference of two identical terms.
16 - 16 = 0:
29 a = 24 - 16
Hint: | Evaluate 24 - 16.
24 - 16 = 8:
29 a = 8
Hint: | Divide both sides by a constant to simplify the equation.
Divide both sides of 29 a = 8 by 29:
(29 a)/29 = 8/29
Hint: | Any nonzero number divided by itself is one.
29/29 = 1:
Answer: a = 8/29
Which of the following explains the relationship between angles a and b? Lines JK and JM intersect at point J, creating four angles identified as angle B, angle D, angle C, and angle a clockwise from the top right. Adjacent angles, corresponding notes, Complementary angles or vertival angles
The answer is Adjacent angles.
Answer:
The answer is A: Adjacent angles.
Step-by-step explanation:
I know this cause I'm taking the test.
A rectangular swimming pool measures 50 meters in length and 25 meters in width. Using a scale of 1 centimeter represents 5 meters.
What is the width of your scale drawing if the length is 10cm?
Answer:
Width is 5 cm
Step-by-step explanation:
Since we know that the width is 25 meters, and the scale we are using is 5 meters = 1 cm, we can divide 25 by 5 to find the scaled measurement.
25/5 = 5cm
I hope this helps!
-TheBusinessMan
8 is added to the square of a number.
Answer:
x^2+8
Step-by-step explanation:
Type the correct answer in each box. Use numerals instead of words. If necessary, use / for the fraction bar(s). Points A and B are the endpoints of an arc of a circle. Chords are drawn from the two endpoints to a third point, C, on the circle. Given m AB =64° and ABC=73° , mACB=.......° and mAC=....°
Inscribed angles are formed when two chords have 1 common endpoint. The measure of [tex]\angle ACB[/tex] and [tex]\overset{\huge\frown}{AC}[/tex] are:
[tex]\angle ACB = 32^o[/tex]
[tex]\overset{\huge\frown}{AC} = 146^o[/tex]
Given that:
[tex]\overset{\huge\frown}{AB} = 64^o[/tex]
[tex]\angle ABC = 73^o[/tex]
See attachment
First, we calculate [tex]\angle ACB[/tex] using:
[tex]\angle ACB = \frac{1}{2} \times \overset{\huge\frown}{AB}[/tex] ----- An inscribed angle is half the arc it intercepts
So, we have:
[tex]\angle ACB = \frac{1}{2} \times 64^o[/tex]
[tex]\angle ACB = 32^o[/tex]
Using the same theorem, we calculate [tex]\overset{\huge\frown}{AC}[/tex] as follows:
[tex]\angle ABC = \frac{1}{2} \times \overset{\huge\frown}{AC}[/tex]
So, we have:
[tex]73^o = \frac{1}{2} \times \overset{\huge\frown}{AC}[/tex]
Multiply both sides by 2
[tex]2 \times 73^o = 2 \times \frac{1}{2} \times \overset{\huge\frown}{AC}[/tex]
[tex]2 \times 73^o =\overset{\huge\frown}{AC}[/tex]
[tex]146^o =\overset{\huge\frown}{AC}[/tex]
Hence:
[tex]\overset{\huge\frown}{AC} = 146^o[/tex]
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Answer:
your correct answers are 32 and 146
Step-by-step explanation:
to get 32, divide 64 by 1/2
To get 146, multiply 73 by 2
Hope I helped, got it right on test:)
Graph y = 3/5 x - 4.
Then, translate it up 5 units.
Write the equation of the resulting line.
Answer:
y=3/5x + 1
Step-by-step explanation:
It says to translate UP 5 units, meaning the constant of -4 is the one being affected. The translation of 5 units is +5 on the graph, so -4+5=1. Everything else should be the same if i'm correct so y=3/5x + 1 is the answer
india experienced a golden age under the gupta empire. which statement describes this period?
Consider the figure above. Starting with the shape in the upper left, identify the figure that has been: -Translated only. -Rotated and translated. -Reflected about the x-axis.
Answers:
Figure a has been translated only (translated 9 units to the right)
Figure b has been reflected over the x axis
Figure c has been rotated and translated
=======================================
Explanation:
Pick on a point like (-7,4) and note how it moves 9 units to the right to get to (2,4). All points on the upper left figure follow this same translation rule. This rules in figure a.
Figure b is a result of reflecting over the x axis. The rule used is [tex](x,y) \to (x,-y)[/tex]. The x coordinate stays the same while the y coordinate flips from positive to negative. So for example, (-7,4) flips to (-7,-4)
Figure c is a combination of rotating and translating the original figure. It looks like a 90 counterclockwise rotation has been applied followed by a translation. The actual translation and rotation rules used will depend on how you define the center of rotation.
The figure which is rotated and translated correctly about the x-axis is figure a.
What is graph?The graph of a function f is that the set of ordered pairs, where\f(x)=y. within the common case where x and f(x) are real numbers, these pairs are Cartesian coordinates of points in two-dimensional space and thus form a subset of this plane.
How to form graph of function?We have been given four graphs of a function and first function has coordinates (-5,7) (-2,6) (-7,4) (-4,1) and that we must identify correct reflected graph.
The coordinates of a pure reflected graph are going to be (4,7) (2,4) (5,1) (7,6) which are the coordinates of figure a which is in first quadrant.
Hence the proper reflected graph of function having coordinates (-5,7) (-2,6) (-7,4) (-4,1) is that the graph of coordinates (4,7) (2,4) (5,1) (7,6).
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The contagent of 180/3,180/4,180/6 is
Answer:
easy
Step-by-step explanation:
1+2=92
PLEASE HELP!! I worked it out and haven’t found the right answer
Answer:
option B is correct. Once have a look to this solution that I have answered
En el colegio de Pedro 8/25 de los cursos corresponden a la enseñanza media y el resto a basica. ¿Que numero representan los cursos de enseñanza básica?
Answer:
17
Step-by-step explanation:
Hay dos cursos que se ofrecen en la escuela y se representan como fracciones.
Cursos corresponden a la enseñanza media = 8/25
Cursos de enseñanza básica =?
Sea el número total de cursos = 1
Cursos de enseñanza básica = 1 - 8/25
= 17/25
Dado que ambos cursos están en forma de fracciones, podemos convertirlos en razones
Relación de cursos corresponden a la enseñanza media a cursos de enseñanza básica
= 8:17
Donde el número total de cursos ofrecidos = 8 + 17 = 25
Por lo tanto, el número que representa los cursos de enseñanza básica = 17.
PT=4x+3 and TQ=8x-9 Find the value of PT
Step-by-step explanation:
4x+3+8x-9+y=180
A salesman gets a basic wage of £160 per week plus a commision of 30% of the sales he makes that week. In one week his total wage was £640 Work out the value of the sales he made that week.
Answer:
£1600.
Step-by-step explanation:
The commission he earns in the week = 640 - 160 = £480.
This 480 is 30 percent or 0.30 of the value of his sales, so
the value of his sales = 480 / 0.30
= £1600.
Please help me solve 2z+4a=6
Step-by-step explanation:
z = 3-2a
a = 3/2 - 0.5z
...........................
Answer: I dont know which to slove for so im going to put both :)
Step-by-step explanation:
SOLVING FOR Z:
Subtract 4 a from both sides of the equation.
2 z = 6 − 4 a
Divide each term by 2
and simplify. z = 3 − 2 a
SOLVING FOR A:
Subtract a from both sides of the equation
2z=6-4a
Divide each term by 2 then simplify
z=3-2a
What is 25 times 0.3?
Answer:
8.3
Step-by-step explanation:
25÷3=8.3333333
I rounded it to this.
Answer: 7.5
25 * 0.3 is also 25 of 0.3, 0.3 of 25 so by multiplying you get 7.5
. Find the distance between (−4,−1) and (−2,−3).
Answer:
2.83 units
(results are in decimal form, rounded to the nearest 100th)
1. Find mZU
S
70°
T23.x-5
R110°
14x
C. 110°
A. 70°
B. 90°
D. 1300
Write an equation in slope-intercept form for the line parallel to y= 9x+2 that passes through the point (-2,8). Show your work. Thank you :)
Answer: y=9x + 26
Step-by-step explanation:
Notice that for two lines to be parallel they must have the same slopes but different y intercept.
So the equation y =9x + 2 has a slope of 9 and y-intercept of 2 so using the points we can determine the y intercept of the line parallel to it to find the.
Using the slope intercept form formula which is y = mx + b we can plot in the slope and the given coordinates to solve for b.
The coordinate is (-2,8) which the y value is 8 and the x value is -2
so 8 = 9(-2) +b solve for b
8 = -18 + b
+18 +18
b = 26
The y intercept is 26 so the equation will be y=9x + 26
Lille has a bag of chips to share with her friends. The bag contains 89 chips, and lille wants to share with 6 people including herself. She plans to give the leftovers to her sister. How many chips will her sister get?
======================================
Explanation:
Use your calculator to find that 89/6 = 14.8333 approximately
The whole part 14 means each of the six people get 14 chips
That means 6*14 = 84 chips have been eaten so far, leaving 89-84 = 5 chips left over for her sister.
----------
In other words,
89/6 = 14 remainder 5
which can be found through long division as shown below
Find the distance of the following points.
3. (0,2) (4, -1)
Hey there! I'm happy to help!
To find the distance between two points, you find the difference between the x values, square that, find the difference between the y values, square that, add the two numbers you got, and then find the square root.
We find the difference of the x values.
0-4=-4
Square it.
-4²=16
We find the difference between the y values.
2--1
2+1=3
And we square that.
3²=9
We add the two numbers we got.
16+9=25
And we find the square root.
√25=5
The distance between these points is 5. Now you can find the distance between any two points! Have a wonderful day! :D
Which equation has a solution of k = 6.5?
A. -3k = 19.5
B. -1 + k = 7.5
C. -7k = -45.5
D. -2 + k = -8.5
Answer: 7.5
Step-by-step explanation:
A rock climber averages 8 feet per minute. How many feet does the climber climb in 1 hour and 15 minutes?
Answer:
600 feet.
Step-by-step explanation:
1 hour and 15 minutes is equal to 75 minutes.
Therefore,
8 times 75 equals 600 feet.
How is y=x related to y=x-4
Please help I really need it
Step-by-step explanation:
They both have the same gradient of 1. (Their slope is 1)
Find the coordinates of the midpoint of a segment with the given
endpoints.
Answer:
Step-by-step explanation:
(7+4)/2 = 11/2 = 5.5
(1-1)/2 = 0/2 = 0
(5.5, 0)
answer is C
Answer:
C-(5.5,0)
Step-by-step explanation:
(x1+x2/2, y1-y2/2)
7+4/2, 1-1/2
11/2, 0/2
(5.5, 0)
Really hope this helps ;)
if AE=4 how long is the corresponding distance in the second figure?
Seeting up a porportion gives us,
[tex]\frac{15}{6}= \frac{x}{4}[/tex]
60=6x
10=x
HL=10
What is the value of y in the equation 3(3y - 15) = 0? (1 point)
Answer:
y = 5
Step-by-step explanation:
What is the solution to this equation?
2x + 2 = 10
O A. x= 4
O B. x = 16
O c. x = 24
O D. x = 6
Answer:
A. x= 4
Step-by-step explanation:
[tex]2x + 2 = 10[/tex]
Collect like terms and simplify
[tex]2x =10-2\\2x =8[/tex]
Divide both sides of the equation by 2
[tex]\frac{2x}{2} = \frac{8}{2} \\\\x = 4[/tex]