Answer:
174
Step-by-step explanation:
Given
132, 145, 97, 112, 128, 82
Required
Estimate amount of students in an art class
This is calculated by obtaining the mean of the given data
[tex]Mean = \frac{\sum x}{n}[/tex]
Where n is the number of observations
So; n = 6
[tex]Mean = \frac{132+ 145+ 97+ 112+ 128+ 82}{6}[/tex]
[tex]Mean = \frac{696}{6}[/tex]
[tex]Mean = 174.0[/tex]
Hence, the estimated number of students is 174
rewrite (y x 6) x 5 using the associative property.
Answer:
y * ( 6*5)
Step-by-step explanation:
(y x 6) x 5
We can change the order of multiplication by changing where the parentheses are placed using the associative property
y * ( 6*5)
Answer:
The answer will be Y*(6*5)
Step-by-step explanation:
this is the answer because while doing the associative property you switch the parenthesis to the different numbers or the other side in this case were 6 and 5
If a 15% discount is applied to a 15,000,000 car, what will its price be.
Answer:
$12,750,000
Step-by-step explanation:
15,000,000 x 0.15 = 2,250,000
15,000,000 - 2,250,000 = 12,750,000
Answer:
12750000Step-by-step explanation:
[tex]15\% \: discount \:on \: 15,000,000\\\\= \frac{15}{100} \times 15,000,000\\\\\\= \frac{225000000}{100}\\ \\= 2250000\\\\15 000 000 - 225 0000= 12750000[/tex]
the base of a rectangle is three times as long as the height. of the perimeter is 64, what is the area of the rectangle
Answer: 192
Step-by-step explanation:
Use algebra
x + 3x + x + 3x = 64 (perimeter)
Combine Like Terms
8x = 64
x = 8
8 + 24 + 8 + 24 = 64
24/8 = 3
What is the sum of the three solutions (find the values for x, y, and z, then add the answers)? 2x + 3y − z = 5 x − 3y + 2z = −6 3x + y − 4z = −8 Show All Work !!
Answer:
x + y + z = 4
Step-by-step explanation:
Give equations are,
2x + 3y - z = 5 --------(1)
x - 3y + 2z = -6 --------(2)
3x + y - 4z = -8 --------(3)
By adding equations (1) and (2),
(2x + 3y - z) + (x - 3y + 2z) = 5 - 6
3x + z = -1 -------(4)
By multiplying equation (3) by 3, then by adding to equation (2)
(9x + 3y - 12z) + (x - 3y + 2z) = -24 - 6
10x - 10z = -30
x - z = -3 --------- (5)
By adding equation (4) and (5),
(3x + z) + (x - z) = -1 - 3
4x = -4
x = -1
From equation (5),
-1 - z = -3
z = 2
From equation (1),
2(-1) + 3y - 2 = 5
-2 + 3y - 2 = 5
3y = 5 + 4
y = 3
Therefore, x + y + z = -1 + 3 + 2
x + y + z = 4
( 2x - 9) x ( x + 5 )
[tex]2x \times x + 2x \times 5 - 9 \times x - 9 \times 5[/tex]
[tex] {2x }^{2} + 10x - 9x - 45 [/tex]
[tex] {2x}^{2} + x - 45 [/tex]
●✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎❀✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎●
Hi my lil bunny!
❧⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯☙
[tex]\boxed{x=14}[/tex]
Reorder the terms:
[tex]-9 + 2x = 5 + x[/tex]
Solving
[tex]-9 + 2x = 5 + x[/tex]
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-1x' to each side of the equation.
[tex]-9 + 2x + -1x = 5 + x + -1x[/tex]
Combine like terms: [tex]2x + -1x = 1x[/tex]
[tex]-9 + 1x = 5 + x + -1x[/tex]
Combine like terms: [tex]x + -1x = 0[/tex]
[tex]-9 + 1x = 5 + 0\\-9 + 1x = 5[/tex]
Add '9' to each side of the equation.
[tex]-9 + 9 + 1x = 5 + 9[/tex]
Combine like terms: [tex]-9 + 9 = 0[/tex]
[tex]0 + 1x = 5 + 9\\1x = 5 + 9[/tex]
Combine like terms: [tex]5 + 9 = 14[/tex]
[tex]1x = 14[/tex]
Divide each side by '[tex]1[/tex]'.
[tex]x = 14[/tex]
Simplifying
[tex]x = 14[/tex]
❧⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯☙
●✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎❀✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎●
Have a great day/night!
❀*May*❀
Gavin is selling water bottles at a baseball game to help raise money for new uniforms.
Before the game, he buys 48 water bottles for a total of $18.50. At the game, he sells all of
the bottles for $1.25 each. How much profit does Gavin make?
The profit made by Gavin at the end of the game is $0.87 per bottle.
How to calculate profit?The profit can be calculated by taking the difference of selling price and the cost price.
Given that,
The number of bottles bought for $18.50 is 48 and sold for $1.25 each.
Then, the cost for one bottle is 18.50/48 = $0.38.
As per the question the profit made can be calculated as the difference of selling price and cost price as,
Profit = Selling price - Cost Price
= 1.25 - 0.38
= $0.87
Hence, the profit earned by Gavin is given as $0.87 for each bottle.
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Number of minutes 1 2 3 4 5 6 7 8 9 10
Number of trainees 2 3 5 10 15 30 25 15 10 5
1.) use the data to draw a bar chart
Answer: please find the attached file for the graph.
Step-by-step explanation:
Number of minutes 1 2 3 4 5 6 7 8 9 10Number of trainees 2 3 5 10 15 30 25 15 10 5
Given that data set above, the time in minutes will be on the x axis while the number of trainees will be in the y axis.
In bar chart, the bars will not touch each other.
Please find the attached file for the solution and figure
A function of random variables used to estimate a parameter of a distribution is a/an _____.
A. unbiased estimator
B. statistic
C. predictor
D. sample value
Answer:
A. unbiased estimator.
Step-by-step explanation:
In Statistics, an estimator is a statistical value which is used to estimate a parameter. Parameters are the determinants of the probability distribution. Therefore, to determine a normal distribution we would use the parameters, mean and variance of the population.
A function of random variables used to estimate a parameter of a distribution is an unbiased estimator.
An unbiased estimator is one in which the difference between the estimator and the population parameter grows smaller as the sample size grows larger. This simply means that, an unbiased estimator captures the true population value of the parameter on average, this is because the mean of its sampling distribution is the truth.
Also, we know that the bias of an estimator (b) that estimates a parameter (p) is given by; [tex]E(b) - p[/tex]
Hence, an unbiased estimator is an estimator that has an expected value that is equal to the parameter i.e the value of its bias is equal to zero (0).
Generally, in statistical analysis, sample mean is an unbiased estimator of the population mean while the sample variance is an unbiased estimator of the population variance.
Answer: B statistic
Step-by-step explanation:
it just is trust me
Which equation does NOT graph a line? A) y = 5 B) y = -3x3 C) y = 2/3 x D) y = −8x That 3 in b is an exponent btw
Answer:b
Step-by-step explanation:
Rocket science
A rectangular sheet of steel is being cut so that the length is four times the width the perimeter of the sheet must be less than 100 inches . Which inequality can be used to find all possible lengths,l.of the steel sheet
Answer:
w>10
length = 40
Step-by-step explanation:
Let
Width=w
Length=4w
Perimeter is less than 100 inches
Perimeter of a rectangle= 2( Length + width)
100 < 2(4w+w)
100 < 8w+2w
100 < 10w
w > 10
Length =4w
=4 × 10
=40 inches
Answer:
5/2l <100
Step-by-step explanation:
PLATO
The graph of g(x) is a translation of the function f(x)=x^2. The vertex of g(x) dislocated five units above and seven units to the right of the vertex of f(x). which equation represents g(x)
[tex]f(x)[/tex] passes through origin, i.e. $(0,0)$
if you move 5 units up, it should pass through $(0,5)$
so you'll add 5 to $y$ i.e. $y+5=x^2$ this satisfies $(0,5)$
and to move right, it should pass through $(7,0)$ so you'll subtract $7$ from $x$ i.e. $y=(x-7)^2$
now combine both translations
$g(x)=(x-7)^2-5=x^2-14x+45$
What is the recursive definition for 25,20,15,10?
Answer:
aₙ = 30 - 5n
Step-by-step explanation:
25,20,15,10, ...
We see from the given series that it is AP with:
First term = 25Common difference = -5 and it is decreasing seriesThen formula is:
aₙ= a₁ + (n-1)daₙ= 25 + (n-1)(-5) aₙ= 25 - 5n + 5aₙ = 30 - 5nFor which of the following compound inequalities is there no solution?
A. 3m - 12 > 30 and -6m >= 24
B. -6m >= 12 and m + 5 -18
C. -5m < 20 and 6m > -18
D. -4m - 10 <= -22 and 6m - 8 >= 22
>= is greater than or equal to
<= is less than or equal to
Answer:
A
Step-by-step explanation:
[tex]3m - 12 > 30 \text{ and } -6m\geq 24[/tex]
[tex]\boxed{3m - 12 > 30 \wedge -6m\geq 24}[/tex]
[tex]m>14 \wedge m\leq -4[/tex]
There's no solution. It is the first one already. There is no number that is both greater than 14 and less than or equal to -4. That is no solution because there's no [tex]m[/tex] that satisfy the compound inequality.
Note: the signal change because we divided by negative number.
Answer:
3m - 12 > 30 and -6m >= 24
Step-by-step explanation:
A. 3m - 12 > 30 and -6m >= 24
3m > 42 and m < = -4
m > 14 and m < = -4
This has no solution
B. -6m >= 12 and m + 5 -18
cannot solve since missing inequality
C. -5m < 20 and 6m > -18
m > -4 and m > -3
solution m > -3
D. -4m - 10 <= -22 and 6m - 8 >= 22
-4m < = -12 and 6m > = 30
m > = 3 and m > =5
m > = 5
A car travels 120m along a straight road that is inclined at 8° to the horizontal. Calculate the vertical distance through which the car rises. (Sin8°=0.1392)
The vertical distance through which the car rises is 16.7 m
What is right triangle?"It is a triangle whose one of the angle is 90°."
What is sine of angle?In right triangle, for angle 'x',
sin(x) = (opposite side of angle x)/hypotenuse
For given example,
Consider the following figure for given situation.
A car travels 120 m along AC.
ΔABC is right triangle with hypotenuse AC.
∠C = 8°
Consider sine of angle C,
[tex]\Rightarrow sin(C)=\frac{AB}{AC}\\\\\Rightarrow sin(8^{\circ})=\frac{AB}{120}\\\\ \Rightarrow 0.1392=\frac{AB}{120}\\\\ \Rightarrow AB = 0.1392\times 120\\\\\Rightarrow AB = 16.70~ m[/tex]
Therefore, the vertical distance through which the car rises is 16.7 m
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how do you find the area of an open cylinder... what is the Formula?? please help
Answer:
Cylinder has a formula
π×r²×h
so of it is open
π×r²×h - π×r²
Answer:
pls give brainiest
Step-by-step explanation:
A=2πr×h(r+h)
What is the value of x?
7
7 square root 2
14
14 square root 2
Answer:
14
Step-by-step explanation:
Using the sine ratio in the right triangle and the exact value
sin45° = [tex]\frac{1}{\sqrt{2} }[/tex] , thus
sin45° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{7\sqrt{2} }{x}[/tex] = [tex]\frac{1}{\sqrt{2} }[/tex] ( cross- multiply )
x = 7[tex]\sqrt{2}[/tex] × [tex]\sqrt{2}[/tex] = 7 × 2 = 14
Answer:
x = 14i hope it helps :)Step-by-step explanation:
[tex]Hypotenuse = x \\Opposite = 7\sqrt{2} \\\alpha = 45\\\\\Using \: SOHCAHTOA\\Sin \alpha = \frac{Opposite}{Hypotenuse}\\ \\Sin 45 = \frac{7\sqrt{2} }{x} \\\\\frac{\sqrt{2} }{2} = \frac{7\sqrt{2} }{x} \\\\\sqrt{2x} = 14\sqrt{2} \\\\\frac{\sqrt{2x} }{2} = \frac{14\sqrt{2} }{2} \\x = 14[/tex]
El siguiente diagrama A, B, C, D, E, F denotan islas, y las líneas de unión son puentes. El hombre empieza en A y camina de isla en isla. El hombre no puede cruzar el mismo puente dos veces. Hallar el número de maneras que puede hacer su recorrido antes de almorzar.
A-B-C-D
E-F
A esta conectado a B, B a C y C a D. B está conectado a E, C esta conectado a F y hay una linea que conecta E y C
Answer:
hey good
Step-by-step explanation:
find the missing part of the proportion 12/x = 3/7 x= _
Answer:
x = 28
Step-by-step explanation:
12/x = 3/7
Using cross products
3x = 12*7
3x = 84
Divide by 3
x = 28
Please answer this question now
Answer:
V = 60 m³
Step-by-step explanation:
Volume of Triangular Pyramid: V = 1/3bh
Area of Triangle: A = 1/2bh
b = area of bottom triangle (base)
h = height of triangular pyramid
Step 1: Find area of base triangle
A = 1/2(8)(5)
A = 4(5)
A = 20
Step 2: Plug in known variables into volume formula
V = 1/3(20)(9)
V = 1/3(180)
V = 60
A baby weighs 100 ounces. Find the baby's weight in pounds and ounces.
Work Shown:
1 pound = 16 ounces
100/16 = 6.25
100 ounces = 6.25 pounds
100 ounces = 6 pounds + 0.25 pounds
-------
1 pound = 16 ounces
0.25*1 pound = 0.25*16 ounces
0.25 pounds = 4 ounces
------
100 ounces = 6 pounds + 0.25 pounds
100 ounces = 6 pounds + 4 ounces
100 ounces = 6 pounds, 4 ounces
If a is an arbitrary nonzero constant, what happens to a/b as b approaches 0
It depends on how b approaches 0
If b is positive and gets closer to zero, then we say b is approaching 0 from the right, or from the positive side. Let's say a = 1. The equation a/b turns into 1/b. Looking at a table of values, 1/b will steadily increase without bound as positive b values get closer to 0.
On the other side, if b is negative and gets closer to zero, then 1/b will be negative and those negative values will decrease without bound. So 1/b approaches negative infinity if we approach 0 on the left (or negative) side.
The graph of y = 1/x shows this. See the diagram below. Note the vertical asymptote at x = 0. The portion to the right of it has the curve go upward to positive infinity as x approaches 0. The curve to the left goes down to negative infinity as x approaches 0.
Please answer this question now
Answer:
m∠C = 102°
Step-by-step explanation:
The above diagram is a cyclic quadrilateral
Step 1
First we find m∠B
The sum of opposite angles in a cyclic quadrilateral is equal to 180°
m∠D + m∠B = 180°
m∠B = 180° - m∠D
m∠B = 180° - 80°
m∠B = 100°
Step 2
Since we have found m∠B
We can proceed to find the Angle outside to circle
m∠CDA = 2 × m∠B
m∠CDA = 2 × 100°
m∠CDA = 200°
m∠CDA = m∠CD + m∠DA
m∠DA = m∠CDA - m∠CD
m∠DA = 200° - 116°
m∠DA = 84°
Step 3
Find m∠DAB
m∠DAB = m∠DA + m∠AB
m∠DAB = 84° + 120°
m∠DAB = 204°
Step 4
Find m∠C
It you look at the cyclic quadrilateral properly,
m∠DAB is Opposite m∠C
Hence
m∠C = 1/2 × m∠DAB
m∠C = 1/2 × 204
m∠C = 102°
Therefore ,m∠C = 102°
find the roots of the following equation X + 1 whole square minus x square equal to 2
Answer:
x = 1/2
Step-by-step explanation:
Let's represent this in a mathematical way,
(x+1)^2 - x^2 = 2
Ok now we expand,
x^2 + 2x + 1 -x^2 = 2
rearrange,
x^2 - x^2 + 2x + 1 = 2
subtract,
2x + 1 = 2
subtract 1 from both sides,
2x + 1 - 1 = 2 - 1
2x = 1
Now divide 2 from both sides and get your answer,
x = 1/2
Answer:
[tex](x + 1) { }^{2} - x {}^{2} = 2[/tex]
[tex]x {}^{2} + 2x + 1 - x {}^{2} = 2[/tex]
[tex]2x + 1 = 2[/tex]
[tex]x = 1 \div 2[/tex]
Work out the mean for the data set below: 3, 5, 4, 3, 5, 6 Give your answer as a fraction. answer
Answer:
4 1/3
Step-by-step explanation:
3 + 5 + 4 + 3 + 5 + 6 = 26
26/6 = 4 2/6 (4 1/3)
Answer:
13/3
Step-by-step explanation:
To find the mean, add up all the numbers and divide by the number of terms
( 3+5+4+3+5+6) /6
26/6
Divide top and bottom by 2 to simplify the fraction
13/3
Pens cost 15 pence each.
Rulers cost 20 pence each.
A school buys 150 pens and 90 rulers.
The total cost is reduced by 1/5
How much does the school pay?
Answer:
The amount the school pays is £32.40
Step-by-step explanation:
The cost of each pen = 15 pence
The cost of each ruler = 20 pence
The number of pens bought by the school = 150
The number of rulers bought by the school = 90
The cost reduction (discount) on the items bought = 1/5
Therefore, we have;
The total cost of the pens bought by the school = 150 × 15 = 2250 = £22.50
The total cost of the rulers bought by the school = 90 × 20 = 1800 = £18.00
The total cost of the writing materials (rulers and pens) bought by the school = £22.50 + £18.00 = £40.50
The discount = 1/5 total cost reduction = 1/5×£40.50 = $8.10
The amount the school pays = The total cost of the writing materials - The discount
The amount the school pays = £40.50 - $8.10 = £32.40
The amount the school pays = £32.40.
Matilda has 16 3/4 hours to finish 3 consulting projects. How much time may she spend on each project, if she plans to spend the same amount of time each?
A. 5 6/7
B. 5 3/7
C. 5 9/11
D. 5 7/12
Answer: D
Step-by-step explanation:
To find how much time she need on each project divide the time by 3 because there are 3 projects and to get to 1 project you will need to divide by 3.
16 3/4 = 67/4
[tex]\frac{67}{4}[/tex] ÷ [tex]\frac{3}{1}[/tex] = [tex]\frac{67}{12}[/tex] = 5 7/12
Answer:
Step-by-step explanation:
A car advertisement claims that a certain car can accelerate from rest to 70 km/hr in 7 seconds find the car acceleration
Answer:
acceleration [tex]\approx 2.78\,\,\frac{m}{s^2}[/tex]
Step-by-step explanation:
The acceleration is the change in velocity per unit of time.
Therefore to have this rate in appropriate units that can combine, we re-write the change from 0 to 70 km/h in meters per second using:
[tex]70 \frac{km}{h} = \frac{70000}{3600} \frac{m}{s}[/tex]
so in this case the acceleration becomes:
[tex]accel=\frac{change\,\,vel}{change\,\,time} =\frac{70000m}{3600\,*7\,s^2} \approx 2.78\,\,\frac{m}{s^2}[/tex]
BRAINLIEST, 5 STARS AND THANKS IF ANSWERED BOTH CORRECTLY. 1. What is the 8th term of the following geometric sequence? -8, 24, -72, 216.. A. 52, 488 B. 5,832 C. 17,496 D. -17,496 ---------- 2. What is the 6th term of the following geometric sequence? 2, -14, 98, -686... A. 33,614 B. -33,614 C. 235,298 D. -235,298
Answer:
C; B
Step-by-step explanation:
The direct/explicit formula for a geometric sequence is the following:
[tex]a_n=a(r)^{n-1}[/tex]
Where aₙ represents the term n, a represents the initial value, and r represents the common ratio.
Therefore, to find the nth term, we just need to find the initial value and the common ratio.
1)
-8, 24, -72, 216...
The common ratio is the ratio between each consecutive term. Do two to confirm that they are indeed the same. Thus:
[tex]r=24/-8=-3\\r=-72/24\stackrel{\checkmark}{=}-3[/tex]
So, the common ratio is -3. And the initial value is -8. Thus, putting them into our equation:
[tex]a_n=-8(-3)^{n-1}[/tex]
Thus, the eighth term will be:
[tex]a_8=-8(-3)^{8-1}\\a_8=-8(-3)^7\\a_8=17496[/tex]
C
2)
Again, find the common ratio.
2, -14, 98, -686...
[tex]-14/2=-7\\98/-14\stackrel{\checkmark}{=}-7[/tex]
The common ratio is -7. The initial value is 2. Thus:
[tex]a_n=2(-7)^{n-1}[/tex]
And the sixth term will be:
[tex]a_6=2(-7)^{6-1}\\a_6=2(-7)^5\\a_6=-33614[/tex]
B
For what value(s) of k will the function y=6x^2-8x+k have: a) one zero b) two zeros c) no zeros *this is not multiple choice*
Answer:
Step-by-step explanation:
Hello, please consider the following.
[tex]6x^2-8x+k=0\\\\\text{We compute the discriminant.}\\\\\Delta = b^2-4ac=8^2-4*6*k=8*8-8*3*k=8*(8-3k)[/tex]
And the we know that if the discriminant is
***** [tex]\Delta[/tex] < 0, meaning 8-3k<0, meaning
[tex]\boxed{k>\dfrac{8}{3}}[/tex]
then, there is no real solution.
***** [tex]\Delta = 0[/tex], meaning
[tex]\boxed{k=\dfrac{8}{3}}[/tex]
There is 1 solution.
***** [tex]\Delta[/tex] > 0, meaning
[tex]\boxed{k<\dfrac{8}{3}}[/tex]
There are 2 solutions.
Thank you
PS: To give more details...
[tex]8-3k=0\\\\\text{Add 3k}\\\\8=3k\\\\\text{Divide by 3}\\\\k=\dfrac{8}{3}[/tex]
Find the value of x in each case:
Answer:
x = 36
Step-by-step explanation:
To obtain the value of x, we must first obtain the value of y and z as shown in the attached photo.
i. Determination of y
2x + y = 180 (angle on a straight line)
Rearrange
y = 180 – 2x
ii. Determination of z.
z + 4x = 180 (angle on a straight line)
Rearrange
z = 180 – 4x
iii. Determination of x
x + y + z = 180 (sum of angles in a triangle)
But:
y = 180 – 2x
z = 180 – 4x
Therefore,
x + y + z = 180
x + 180 – 2x + 180 – 4x = 180
Collect like terms
x – 2x – 4x = 180 – 180 –180
– 5x = – 180
Divide both side by – 5
x = – 180 / – 5
x = 36
Therefore, the value of x is 36.
