Answer:
-20677
Step-by-step explanation:
-23 . - 29 . -31
Find the mean median mode and range for the following data 77 60 59 70 89 95
Answer:
Mean = 75
Median = 73.5
Mode = 95
Range = 36
Step-by-step explanation:
Given:
77,60,59,70,89,95Sort:
59,60,70,77,89,95To find:
MeanMedianModeRangeMean:
[tex]\displaystyle \large{\dfrac{1}{n}\sum_{i =1}^n x_i = \dfrac{x_1+x_2+x_3+...+x_n}{n}}[/tex]
Sum of all data divides by amount.
[tex]\displaystyle \large{\dfrac{59+60+70+77+89+95}{6}=\dfrac{450}{6}}\\\\\displaystyle \large{\therefore mean=75}[/tex]
Therefore, mean = 75
Median:
If it’s exact middle then that’s the median. However, if two data or values happen to be in middle:
[tex]\displaystyle \large{\dfrac{x_1+x_2}{2}}[/tex]
From 59,60,70,77,89,95, since 70 and 77 are in middle:
[tex]\displaystyle \large{\dfrac{70+77}{2} = \dfrac{147}{2}}\\\displaystyle \large{\therefore median = 73.5}[/tex]
Therefore, median = 73.5
Mode:
The highest value or/and the highest amount of data. Mode can have more than one.
From sorted data, there are no repetitive data nor same data. Consider the highest value:
Therefore, mode = 95
Range:
[tex]\displaystyle \large{x_{max}-x_{min}}[/tex] or highest value - lowest value
Thus:
[tex]\displaystyle \large{95-59 = 36}[/tex]
Therefore, range = 36
Find the value of x
x =
Classify the triangle :
acute isosceles triangle
acute isosceles triangle
acute scalene triangle
acute scalene triangle
obtuse isosceles triangle
obtuse isosceles triangle
obtuse scalene triangle
obtuse scalene triangle
right isosceles triangle
right isosceles triangle
right scalene triangle
right scalene triangle
equiangular equilateral triangle
A sample of bacteria is growing at an hourly rate of 6% according to the continuous exponential growth function. The sample began with 15 bacteria. How many bacteria will be in the sample after 18 hours? Round your answer down to the nearest whole number
Answer:
16
Step-by-step explanation:
6 percent of 15= 0.9
0.9*18≈16
Find the functional values g (-3), g (0), and g (5) for the compound function.
g (x) = 7 if x ≤ 0
1 over x if x > 0
Answer:
[tex]g(-3)=7[/tex]
[tex]g(0)=7[/tex]
[tex]g(5)=\dfrac15[/tex]
Step-by-step explanation:
[tex]g(x) =\begin{cases}7 & \text{if } x \leq 0 \\ \\\dfrac{1}{x} & \text{if } x > 0\end{cases}[/tex]
This means:
when x is equal to zero or less than zero, g(x) will always be 7.when x is more than zero, g(x) is [tex]\frac{1}{x}[/tex][tex]\implies g(-3)=7[/tex]
[tex]\implies g(0)=7[/tex]
[tex]\implies g(5)=\dfrac15[/tex]
[tex]\sf\f(x)=\grey{\begin{cases}\rm 7\quad ,x\geqslant 0\\ \rm \dfrac{1}{x}\quad ,x>0\end{cases}}[/tex]
So
-3,0 ≤05>0Hence
g(-3)=g(0)=7g(5)=1/5Can someone give me the right answer for this please? I'm so confused
Answer:
JK = 18
Step-by-step explanation:
LK = x - 1
KJ = x + 11
LJ = LK + KJ = x - 1 + x + 11
-> LJ = 2x + 10
LM = 12
By tangent secant segment theorem:
[tex]LK \times LJ = JM^2 \\ \\ \implies \: (x - 1)(2x + 10) = {(12)}^{2} \\ \\ \implies \: x (2x + 10) - 1(2x + 10) = 144\\ \\ \implies \: 2x^{2} + 10x - 2x - 10 - 144 = 0\\ \\ \implies \: 2x^{2} + 8x - 154 = 0\\ \\ \implies \: 2(x^{2} + 4x - 77) = 0\\ \\ \implies \: x^{2} + 4x - 77 = 0\\ \\ \implies \: x^{2} + 11x - 7x- 77 = 0\\ \\ \implies \: x(x + 11) - 7(x + 11) = 0\\ \\ \implies \: (x + 11) (x - 7) = 0 \\ \\ \implies \: (x + 11) = 0 \: \: or \: \: (x - 7) = 0 \\ \\ \implies \: x = - 11 \: \: or \: \: x = 7 \\ \\ x \: can \: not \: be \: negative \\ \implies \: x \neq \: - 11 \\ \\ \implies \: x = 7 \\ \\ \implies \: JK = x + 11 = 7 + 11 \\ \\ \implies \: \huge \: { \orange{JK =18}}[/tex]
Hope it helps you in your learning process.
Have a great day ahead.
Consider a two-tailed test with a level of confidence of 99%. The p-value is determined to be 0.05; therefore, the null hypothesis ___________.
Answer:
fail to reject the null
Step-by-step explanation:
99% confidence is equivalent to .01
the p-value is > .01 so fail to reject the null
if it was < .01 you would reject the null
a 500g packet of beans costs £1,14 and a 125g packet of the same beans costs £0,28 so packet is better value for money? show how you decide.
[tex]\large{\underline{\underline{\pmb{\sf{\color{yellow}{Answer:}}}}}}[/tex]
To find :-
More valuable packet of beans
Given :-
500g packet of beans = £114
125g packet of beans = £28
Solution :-
We will find out value of 100g of beans of each packet, then we will compare the value, the less will be the value, the more valuable packet is it.
Packet 1
500g of beans = £114
100g of beans
[tex] = \frac{114}{500} \times 100 \\ = \frac{114}{5} \\ = 22.8[/tex]
The 100g beans of packet 1 will cost £22.8.
Packet 2
125 g of beans = £28
100g of beans
[tex] = \frac{28}{125} \times 100 \\ = \frac{28}{5} \times 4 \\ = 5.6 \times 4 \\ = 22.4[/tex]
The 100g beans of packet 2 will cost £22.4.
Result :-
The packet 2, 125g for £28 is more valuable than packet 1, 500g for £114.
Answer:
the 125 gm packet
Step-by-step explanation:
Find the unit rate of each
1.14 /500 g = .00228 per gram
.28/128 g = .0021875 per gram <=====this is the better value (costs less per gram)
nsurance company executives surveyed 200 young adults about their first motor vehicle. The results are shown in the two-way table. A 4-column table with 3 rows. Column 1 has entries 4, 6, 8. Column 2 is labeled car with entries 118, 16, 2. Column 3 is labeled truck with entries 6, 12, 6. Column 4 is labeled S U V with entries 18, 20, 2. The columns are titled motor vehicle and the rows are titled cylinders. A survey participant is randomly selected. Let E be the event that the participant’s first motor vehicle had eight cylinders and let T be the event that the participant’s first motor vehicle was a truck. What is the value of P(E or T)? 0.03 0.14 0.17 0.28
Answer:
B. 0.14
Step-by-step explanation:
Just add the values in the eight row and truck coloum and divide by 200.
need some help with the question in the image
cheers
Step-by-step explanation:
(58.29+7.26)÷5
= 59.7
159⅕ = -
root[(3.7+2.5)²+(4.2+3.1)²]
= root[(6.2)²+(7.3)²]
= root[38.44 + 53.29]
= root91.73
~ 10
HURRRYYY PLEASEE
determine the volume of the pyramids below
Step-by-step explanation:
Volume = 1/3 × (10×8) × 6
= 160 in³
Pls help
I don’t understand
Answer:
2916 square inches
Step-by-step explanation:
Surface area of rectangular prism:
Here, area of the top of the prism is not included.
l = 24 in ; b = 20 in ; h = 16 in
Surface area = lb + 2bh + 2lh
= 24 * 20 + 2*20*16 + 2*24 *16
= 480 + 640 + 768
= 1888 sqaure inches
Surface area of triangular prism:
length = 24 in ; a = b = 16 in ; base = 20 in and height = 13 in
[tex]\sf \text{Base area=$2*\dfrac{1}{2}*base *height = base *height$}[/tex]
= 20 * 13
= 260 square inches
Surface area = length*(a +b) + base area
= 24*(16+16) + 260
= 24 * 32 + 260
= 768 + 260
= 1028 square inches
Surface area of composite figure = 1888 + 1028
= 2916 square inches
WSP CAN SOMEONE ACTUALLY HELP N EXPLAIN IM LOST
Answer:
Option A
Step-by-step explanation:
Given expression:
3x² - 10x - 8Option A
⇒ (x - 4)(3x + 2)
⇒ (x × 3x) + (2 × x) + (-4 × 3x) + (-4 × 2)
⇒ (3x²) + (2x) + (-12x) + (-8)
⇒ 3x² + 2x - 12x - 8
⇒ 3x² - 10x - 8
3x² - 10x - 8 = 3x² - 10x - 8 (Yes!)
Option B
⇒ (3x - 4)(x - 2)
⇒ (3x × x) + (3x × -2) + (-4 × x) + (-4 × -2)
⇒ (3x²) + (-6x) + (-4x) + (8)
⇒ 3x² - 6x - 4x + (8)
⇒ 3x² - 10x + 8
3x² - 10x - 8 = 3x² - 10x + 8 (No!)
Option C
⇒ (3x - 4)(x + 2)
⇒ (3x × x) + (3x × 2) + (-4 × x) + (-4 × 2)
⇒ (3x²) + (6x) + (-4x) + (-8)
⇒ 3x² + 6x - 4x - 8
⇒ 3x² + 2x - 8
3x² - 10x - 8 = 3x² + 2x - 8 (No!)
Option D
⇒ (3x - 2)(x - 4)
⇒ (3x × x) + (3x × -4) + (-2 × x) + (-2 × -4)
⇒ (3x²) + (-12x) + (-2x) + (8)
⇒ 3x² - 12x - 2x + 8
⇒ 3x² - 14x + 8
3x² - 10x - 8 = 3x² - 14x + 8 (No!)
Since the expression of option A has the same value as the given expression, option A is correct.
Answer:
Hi! Let's find which expression is equivalent to [tex]3x^{2} - 10x - 8[/tex]. First, remember that expressions are equivalent when they have identical solutions or roots. That means we have to do three things:
- solve [tex]3x^{2} - 10x - 8[/tex]
- review the listed expressions
- determine which solution is equivalent to the solution of [tex]3x^{2} - 10x - 8[/tex]
First, let's solve [tex]3x^{2} - 10x - 8[/tex].
Use the sum-product pattern -
3x^2 - 10x - 8
3x^2 + 2x - 12x - 8
Common factor from the two pairs -
3x^2 + 2x - 12x - 8
x(3x + 2) - 4(3x + 2)
Rewrite in factored form -
x(3x + 2) - 4(3x + 2)
(x - 4)(3x + 2)
Now, let's review the listed expressions. We have:
A. (x - 4)(3x + 2)
B. (3x - 4)(x - 2)
C. (3x - 4)(x + 2)
D. (3x - 2)(x + 4)
We're looking for one of these expressions to be equivalent to the solution of [tex]3x^{2} - 10x - 8[/tex], which we know is (x - 4)(3x + 2). The first choice, A. (x - 4)(3x + 2), would be our answer!
I hope this helps you. Have a wonderful day and let me know if I can help you with anything else! =)
A quadrilateral is circumscribed about a circle. The sum of the lengths of its two opposite sides is 21 cm, and the radius of the circle is 5 cm. Find the area of the quadrilateral.
I will give 100 points
Answer:
105 cm²
Step-by-step explanation:
Properties of a quadrilateral circumscribed about a circle
Each side of the quadrilateral is a tangent to the circle.The sums of the measures of the opposite sides of the quadrilateral are equal. The area of the quadrilateral is half the product of its perimeter and the radius of the circle.Given:
Radius = 5 cmSum of the lengths of its two opposite sides = 21 cmTherefore, the sum of the other pair of opposites is also 21 cm.
So the perimeter = 21 + 21 = 42 cm
[tex]\implies \sf Area=\dfrac12\cdot42\cdot5=105\:cm^2[/tex]
Looking like trapezoid
area:-
1/2(sum of parallel sides)(Height)1/2(21+21)(5)1/2(42)(5)21(5)105cm²How wide is a 3 ft doorway in a 1/4 inch scale drawing?
Answer:
9 inches
Step-by-step explanation:
Convert from feet to inches by multiplying by 12:
3*12 = 36
Multiply by the scale factor of 1/4:
36*1/4 = 9
9 inches
a) What is the size of angle ABC?
b) Use your answer to part a) to work out
the size of reflex angle CBD.
Give your answers to the nearest degree.
60 70
90
50
150 140 130 120 110 100
A-
10 20 30
30 40
B
100 110 120 130 140 150
80 70 60 50 40 30
mga pangungg
·D
The measure of the angle ∠ABC is 110° and the measure of the reflex angle ∠CBD is 70°.
What is an angle?Angle is the space between the line or the surface that meets. And the angle is measured in degree. For complete 1 rotation, the angle is 360 degrees.
Linear angle - If the total of two angles is 180 degrees, they are said to be linear angles.
The measure of the angle ABC will be
∠ABC = 110°
The angle ∠ABC and ∠CBD are the linear angles. Then we have
∠ABC + ∠CBD = 180°
110° + ∠CBD = 180°
∠CBD = 70°
More about the angled link is given below.
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Shay walks to softball practice. She leaves her home and walks 6 blocks north. She then turns east and walks 4 more blocks to the field. How far is the softball field from Shay’s home? Pythagorean Theorem
Answer:
7
Step-by-step explanation:
(a squared) plus (b squared) equals (c squared)
(6 squared) plus (4 squared) equals (c squared)
36+16=c squared
c equals 7
Answer:
7.21 blks
Step-by-step explanation:
Pythag theorem
a^2 + b^2 = c^2
6^2 + 4^2 = c^2
52 = c^2
c = sqrt 52 = 7.21 blcks
A balloon containing 0.40 mol of a gas with a volume of 5.0 l was deflated to 1.0 l. which equation should you use to find the final number of moles of gas in the balloon after the deflation? v subscript 2 equals startfraction v subscript 1 n subscript 2 over n subscript 1 endfraction. n subscript 2 equals startfraction v subscript 2 n subscript 1 over v subscript 1 endfraction. n subscript 2 equals startfraction v subscript 1 n subscript 1 over v subscript 2 endfraction.
The equation he should you use to find the final number of moles of gas in the balloon after the deflation is n1/v1 = n2/v2
Molarity of a solutionThe molarity of a solution is the ratio of the mole of the substance to its volume
Since the mole "n" is directy proportional to the volume, hence;
n = kv
k = n/v
Hence the equation he should you use to find the final number of moles of gas in the balloon after the deflation is n1/v1 = n2/v2
Learn more on molarity here: https://brainly.com/question/14469428
Answer:
answer in picture
Step-by-step explanation:
It took a car 3 days to travel 3106 miles. What was this car's average speed, in miles per hour? (round to the nearest mile per hour)
Answer:
43 mph
Step-by-step explanation:
1 day = 24 hours
3 days = 3 × 24 hours = 72 hours
The car taveled 3106 miles in 72 hours.
average speed = distance/time
average speed = (3106 miles)/(72 hours)
average speed = 43 mph
Answer: 43 mph
Explanation:
3 days is 72 hours.
R=D/T
Divide 3106 by 72
= 43 (rounded)
In this box-and-whisker plot, what is the maximum value of the data?
OPTIONS :
53
56
60
68
Answer:
68
Step-by-step explanation:
As the date in the box plot ends at 68. it is the maximum value
Simplify this expression 9Y+z
Answer:Nothing further can be done with this topic. Please check the expression.
Step-by-step explanation:
Loren solved the equation 10 = startfraction 19 over 9 endfraction (149) b for b as part of her work to find the equation of a trend line that passes through the points (1, 130) and (10, 149). what error did loren make? she should have solved 10 = startfraction 9 over 19 endfraction (149) b for b. she should have solved 1 = startfraction 19 over 9 endfraction (130) b for b. she should have solved 149 = startfraction 19 over 9 endfraction (10) b for b. she should have solved 130 = startfraction 9 over 19 endfraction (1) b for b.
The error which Loren made was C. she should have solved 149 = startfraction 19 over 9 endfraction (10) b for b.
What is an Error?This refers to those miscalculations or misjudgments about a situation or a mathematical solution to give wrong values.
Hence, because Loren is solving an equation of 0 = startfraction 19 over 9 endfraction (149) b for b to find the equation of a trend line that passes through the points (1, 130) and (10, 149), the error she made was option C.
This means that using point (10,149) which takes the form (x,y) the equation will be: 149=19/9(10)+b
Read more about maths errors here:
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Answer:
C
Step-by-step explanation:
1. Select all equations that are parallel to the line 2x + 5y = 8.
A. y = x +4
B. y = -x +4
C.y-2= (x+1)
D.y-2=-(x+1)
E. 10x + 5y = 40
The line which is parallel to the line 2x + 5y =8 is [tex]y= -\frac{2}{5} x+4[/tex] .
The correct option is (B) [tex]y= -\frac{2}{5} x+4[/tex]
What is parallel line in linear equation in two variables?
If the lines are parallel, there is no solution for the pair of linear equations. If there is no solution of the given pair of linear equations, the equations are called inconsistent.
As we know the condition for two parallel line given by the equation
[tex]a_1 x+b_1y+c_1=0\\a_2x+b_2y+c_2= 0[/tex]
is:
[tex]\frac{a_1}{a_2} \; = \; \frac{b_1}{b_2}[/tex] ≠ [tex]\frac{c_1}{c_2}[/tex]
We have the given equation as 2x + 5y =8
the equation which is parallel to 2x + 5y= 8 be
B) [tex]y= -\frac{2}{5} x+4[/tex]
5y = -2x +20
2x+5y=20
So, it satisfies the condition [tex]\frac{a_1}{a_2} \; = \; \frac{b_1}{b_2}[/tex] ≠ [tex]\frac{c_1}{c_2}[/tex]
Rest of the equation aren't satisfying the condition [tex]\frac{a_1}{a_2} \; = \; \frac{b_1}{b_2}[/tex] ≠ [tex]\frac{c_1}{c_2}[/tex].
Hence the line parallel to 2x+ 5y =8 is [tex]y= -\frac{2}{5} x+4[/tex].
Learn more about the parallel line in linear equation here:
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(3.6 × 10-5) ÷ (1.8 × 103)
Give your answer in standard form.
I dont understand this question at all, please answer w/ explanation if you can
Answer:
The answer is C.
Step-by-step explanation:
3.844 X 10 w/ power of 5= 384400
2 X 10 w/ power of 3= 2000
2000 x 384400= 768800000
7.688 x 10 w/ power of 5 = 768800
Answer:
Jupiter to Sun = 7.688 * 10⁸km
Jupiter to Sun = 2 * 10³ times Earth to Moon
Substitute 3.844 * 10⁵km for Earth to Moon
Jupiter to Sun = 2 * 10³ * 3.844 * 10⁵km
Jupiter to Sun = 2 * 3.844 * 10³ * 10⁵km
Jupiter to Sun = 7.688 * 10³ * 10⁵km
Jupiter to Sun = 7.688 * 10⁸km
Therefore, the answer would be C. 7.688 * 10⁸km
3(8) - 15 /12x19-2x7 what is it
Answer:
-13.75
Step-by-step explanation:
what does (d+3) represent in 4.5(d+3)=45
Answer:
(d + 3) would be 10
Step-by-step explanation:
Step 1: Distribute
[tex]4.5(d + 3) = 45[/tex]
[tex](4.5 * d) + (4.5 * 3) = 45[/tex]
[tex]4.5d + 13.5 = 45[/tex]
Step 2: Subtract 13.5 from both sides
[tex]4.5d + 13.5 - 13.5 = 45 - 13.5[/tex]
[tex]4.5d = 31.5[/tex]
Step 3: Divide both sides by 4.5
[tex]\frac{4.5d}{4.5} = \frac{31.5}{4.5}[/tex]
[tex]d = 7[/tex]
Step 4: Determine what (d+3) is
[tex](d + 3)[/tex]
[tex](7 + 3)[/tex]
[tex]10[/tex]
Answer: (d + 3) would be 10
[tex]\huge\text{Hey there!}[/tex]
[tex]\large\boxed{\mathsf{4.5(d + 3) = 45}}\\\\\large\boxed{\mathsf{\rightarrow 4.5(d) + 4.5(3) = 45}}\\\\\large\boxed{\mathsf{\rightarrow 4.5d + 13.5 = 45}}\\\\\large\boxed{\textbf{SUBTRACT 13.5 to BOTH SIDES}}\\\\\large\boxed{\mathsf{4.5d + 13.5 - 13.5 = 45 - 13.5}}\\\\\large\boxed{\textbf{SIMPLIFY IT!}}\\\\\large\boxed{\mathsf{4.5d = 45 - 13.5}}\\\\\large\boxed{\mathsf{4.5d = 31.5}}\\\\\large\boxed{\textbf{DIVIDE 4.5 to BOTH SIDES}}\\\\\large\boxed{\mathsf{\dfrac{4.5d}{4.5}= \dfrac{31.5}{4.5}}}[/tex]
[tex]\large\boxed{\large\textbf{SIMPLIFY IT!}}\\\\\large\boxed{\mathsf{d = \dfrac{31.5}{4.5}}}\\\\\\\large\boxed{\mathsf{d = 7}}\\\\\\\huge\boxed{\textbf{Therefore, your answer is: \boxed{\mathsf{d = 7}}}}\huge\checkmark[/tex]
[tex]\mathsf{(d + 3)}\\\mathsf{= \bold{7} + 3}\\\mathsf{= 10}[/tex]
[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
A 12 foot ladder is resting against a wall. The base of the ladder is 2.8 feet from the base of the wall.How high up the wall will the ladder reach? Show all work and round to the nearest tenth.
Answer:
≈11.7 [ft].
Step-by-step explanation:
1) the ladder and the wall form the right triangle, where the length of the ladder (12 ft) is hypotenuse and the distance between the base of the latter and the base of the wall is the shortest side.
2) the longest side can be calculated according the Pythagoras theorem:
[tex]L=\sqrt{12^2-2.8^2}=\sqrt{136.16}=11.7[ft].[/tex]
Using technology, we found that Juan's investment account can be modeled by the function, c(x)=3x2-2x+10, in
thousands of dollars. What was Juan's initial investment?
O $5
o $10
o $5,000
$10,000
Answer:
$10
Step-by-step explanation:
"Initial" here means "beginning." That is, time = x = 0. If we let x = 0 here we get c(0) = 10, which is the desired answer. Juan's initial investment was $10.
Which of the following is a scalar quantity, and not a vector?
velocity
temperature
acceleration
displacement
Answer:
Which of the following is a scalar quantity, and not a vector?
Temperature
Step-by-step explanation:
Force: The interaction which after applying on a body changes or try to change the state of rest or state of motion is called force.
It is a vector quantity.
Temperature: The measurement of hotness is called temperature.
It is a scalar quantity.
Scalar quantities: The physical quantities which have only magnitude and no direction are
called scalar quantities or scalars.
Examples: Mass, volume, density, time, temperature, electric current, Luminious intensity, etc. Vector quantities: The physical quantities which have both magnitude and direction and obey
the laws of vector addition are called vector quantities or vectors.
please help me, thanks if you do
Answer:
Question 3:
f(3) = (3,-8) this is because -2*-2=4*-2=-8.
Questions 4:
D. (1,7)