lute
data.
Andrea's math test scores
were 76, 88, 82, 94, and 88.
Find the mean.
Answer:
85.6
Step-by-step explanation:
you just add the numbers which is 428 and divide that by 5 which is 85.6
Answer:
85.6
Step-by-step explanation:
To find the mean, add up all the scores then divide by the number of tests
(76+ 88+ 82+ 94+88)/5
428/5
85.6
A car was purchased new in 2019 for $32,650. In 2020 the car is $23,834.50. Find the rate of depreciation for that one year?
Answer:
Rate of depreciation = 27%
Step-by-step explanation:
Given:
Purchase price = $32,650
Rate in 2020 = $23,834.50
Find:
Rate of depreciation
Computation:
Depreciation = Purchase price - Rate in 2020
Depreciation = $32,650 - 23,834.50
Depreciation = $8,815.5
Rate of depreciation = [8,815.5 / 32650] 100
Rate of depreciation = 27%
I need help with this
Answer:
rational
Step-by-step explanation:
ans
a) Rational
Hope this helps you...
Which property would be used first to make the following problem easier to work? 2/3 x (3/2 x 5) associative property of multiplication multiplicative property o commutative property of multiplication distributive property
Answer:
5
can be done by multiplication multiplicative property
Step-by-step explanation:
2/3 * (3/2 * 5)
1st = 2/3 * 3/2 * 5
2nd = 2 * 3 * 5
3 * 2
3rd = 3 * 5
3
therefore
the answer = 5
Answer:
[tex]\Large \boxed{\mathrm{associative \ property \ of \ multiplication}}[/tex]
[tex]\rule[225]{225}{2}[/tex]
Step-by-step explanation:
The associative property of multiplication can be use to make the problem easier to solve.
In associative property of multiplication, when we multiply a bunch of numbers, we can group the numbers in any combination.
[tex]a \times (b \times c) = (a \times b) \times c[/tex]
[tex]\rule[225]{225}{2}[/tex]
Bob has burn 300 calories in the past hour he didn't goes home and he's a candy bar that is 300 calories true or false is it an additive inverse?
stem (hundred thousands) Leaf (ten thousands)
0 667778999
1 02447778889999
2 0011234445667889
3 00011227
The stem-and-leaf plot above shows house sale prices over the last week in Tacoma. What was the most expensive house sold? Give your answer in dollars
The largest stem is 3, found in the bottom row. This represents 300 thousand or 300,000.
The largest leaf in the bottom row is 7 and that represents
7*(10 thousand) = 70 thousand = 70,000
Adding the stem and leaf values gets us
300,000 + 70,000 = 370,000
The most expensive home sold was $370,000Insert <, >, or = in the appropriate space to make a true statement.
1-3 _-4
1-311
-4
Answer:
>
Step-by-step explanation:
1 - 3 ?? -4
-2 ?? -4
The appropriate symbol for this ?? relation is >.
1 -3 > -4
Use the multiplication rule to find the probability that the first four guesses are wrong and the fifth is correct. That is, find
Complete question is;
Multiple-choice questions each have 5 possible answers, one of which is correct. Assume that you guess the answers to 5 such questions.
Use the multiplication rule to find the probability that the first four guesses are wrong and the fifth is correct. That is, find P(WWWWC), where C denotes a correct answer and W denotes a wrong answer.
P(WWWWC) =
Answer:
P(WWWWC) = 0.0819
Step-by-step explanation:
We are told that each question has 5 possible answers and only 1 is correct. Thus, the probability of getting the right answer in any question is =
(number of correct choices)/(total number of choices) = 1/5
Meanwhile,since only 1 of the possible answers is correct, then there will be 4 incorrect answers. Thus, the probability of choosing the wrong answer would be;
(number of incorrect choices)/(total number of choices) = 4/5
Now, we want to find the probability of getting the 1st 4 guesses wrong and the 5th one correct. To do this we will simply multiply the probabilities of each individual event by each other.
Thus;
P(WWWWC) = (4/5) × (4/5) × (4/5) × (4/5) × (1/5) = 256/3125 ≈ 0.0819
P(WWWWC) = 0.0819
Which statements are true based on the diagram
Answer:
Can you show the diagram please?
which value of x makes this equation true -5(x - 20) = 35
Answer:
x=13
Step-by-step explanation:
Divide both sides by -5 then solve the equation for x
3 points] Write the equation of the line passing through (-1, 4) and (2,-2) in lope – intercept form.
Answer:
y = - 2x + 2
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Calculate m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (- 1, 4) and (x₂, y₂ ) = (2, - 2)
m = [tex]\frac{-2-4}{2+1}[/tex] = [tex]\frac{-6}{3}[/tex] = - 2 , thus
y = - 2x + c ← is the partial equation
To find c substitute either of the 2 points into the partial equation
Using (2, - 2 ), then
- 2 = - 4 + c ⇒ c = - 2 + 4 = 2
y = - 2x + 2 ← equation of line
Jasmine wants to use her savings of $1,128 to buy video games and movies. The total price of the movies she bought was $72. The video games cost $43 each. Choose the inequality that would be used to solve for the maximum number of video games Jasmine can buy with her savings. 43 + 72x ≤ 1,128 43 + 72x ≥ 1,128 43x + 72 ≥ 1,128 43x + 72 ≤ 1,128
Answer:
I would believe it is the final answer by the way it's put! hope this helps :)
The correct inequality is 43x + 72 ≤ 1,128.
Given,
Jasmine wants to use her savings of $1,128 to buy video games and movies.
The total price of the movies she bought was $72.
The video games cost $43 each.
We need to choose the inequality that would be used to solve the maximum number of video games Jasmine can buy with her savings.
What are the types of inequality?We have,
< - less than
> - greater than
≤ - less than and equal
≥ - greater than and equal
Find the total cost of the movies.
= $72
Find the cost of each video game.
= $43
Find the savings Jasmine has.
= $1,128
The amount Jasmine can use to buy movies and video games is $1,228.
So, we can use less than or equal to $1,228 to buy movies and video games.
i.e ≤ $1,128
We have,
Cost of movie = $72
Cost of each video game = $43
We can write the inequality as:
$72 + $43x ≤ $1,128
Where x is the number of video games.
Thus the correct inequality is 43x + 72 ≤ 1,128.
Learn more about the writing system of inequality for buying two items with a total of 80 items here:
https://brainly.com/question/20317626
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Find the midpoint on segment AB; A (0, 6), B (4, 2)
Answer:
2,4
Explanation:
Because a midpoint is the middle of the line
Answer:
[tex]mAB=(2,4)[/tex]
Step-by-step explanation:
Step 1: Use the midpoint formula to solve
[tex]mAB=(\frac{x1 +x2}{2},\frac{y1+y2}{2} )[/tex]
[tex]mAB=(\frac{0+4}{2},\frac{6+2}{2} )[/tex]
[tex]mAB=(\frac{4}{2},\frac{8}{2} )[/tex]
[tex]mAB=(2,4)[/tex]
Therefore the midpoint on the line segment AB is (2,4)
A jar has 2 red marbles, 3 blue marbles, and 5 green marbles. Draw two marbles at random, without replacement. What is the chance that one will be red and the other blue, in any order?
Answer:
1/15
Step-by-step explanation:
Total no. of balls = 2+3+5 = 10
No. of red ball =2
Probability of 1st being red = 2/10 =1/5
Probability of 2nd being blue = 3/9 =1/3
Therefore, chance that one will be red and the other blue, in any order
= 1/5×1/3 = 1/15
The grade received on a certain teacher's 100-point test varies in direct proportion to the amount of time a student spends preparing for the test. If a student receives 72 points on a test for which she spent 3 hours preparing, what score would she receive on the next test if she spent 4 hours preparing?
Answer:
She would receive 96 points
Step-by-step explanation:
The grade (Y) received on a certain teacher's 100-point test varies in direct proportion to the amount of time(t) a student spends preparing for the test.
Mathematically
Y= kt
Where k is constant of proportionality
If y= 72 and t= 3
72=k3
72/3= k
24= k
So
Y= 24t
If t= 4
Y= kt
Y= 24(4)
Y= 96
Y = 96 points
She would receive 96 points
Q2. The probability that an individual who attended the fair and completed the entry form will win a prize is:
Question:
At a local county fair, the officials would like to give a prize to 100 selected people at random from those attending the fair. As of the closing day, 12500 people have attended the fair and completed their entry form. The probability that an individual who attended the fair and completed the entry form will win a prize is:
Answer:
[tex]Probability = \frac{1}{125}[/tex]
Step-by-step explanation:
Given
Population = 12,500
Selection = 100
Required
Determine the probability that the selected person will win a prize
To do this, we simply divide the number of those that needs to be selected by the total population;
i.e.
[tex]Probability = \frac{Selection}{Population}[/tex]
[tex]Probability = \frac{100}{12500}[/tex]
Divide the numerator and denominator by 100
[tex]Probability = \frac{1}{125}[/tex]
Hence, the required probability is ;
[tex]Probability = \frac{1}{125}[/tex]
You intend to conduct an ANOVA with 7 groups in which each group will have the same number of subjects: n=6n=6. (This is referred to as a "balanced" single-factor ANOVA.)
1. What are the degrees of freedom for the numerator?
d.f.(treatment) =
2. What are the degrees of freedom for the denominator?
d.f.(error) =
Answer:
d.f.(treatment) = 6
d.f.(error) = 35
Step-by-step explanation:
In the question we have
k = 7
r= 6
n= rk= 42
1. The degrees of freedom for the numerator is calculated as under
d.f.(treatment) = k-1= 7-1= 6
Where k gives the number of columns
2. The degrees of freedom for the denominator is calculated as under
d.f.(error) = k (r-1)= n-k= 42-7=35
where k gives the number of columns and r gives the number of rows.
This is for one way ANOVA as asked above.
Estimate then find the quotient 2,800÷25
Answer:
112
Step-by-step explanation:
What does it mean to multiply a number by -1?
Answer:
Multiplying a number by -1 means the sign on the number is made opposite. If the number was positive, it becomes negative. If the number was negative, it becomes positive.
edmentum answer!!
In a group of 58 learners at Nakambuda C.S, 34 learners have chosen the field of Agriculture. What fraction of learners will be doing Agriculture?
learners of Agriculture: 34/58
semplify it
divide by 2
34 > 17
58 > 29
they are prime numbers, so can't be semplify anymore
17/29 will do Agriculture
in percentage we have a proportion:
17 : 29 = x : 100
x = (17 * 100) / 29 = 1700 / 29 ≅ 48,62
Which of the following must describe a irrational number? A. a number with a repeating or terminating decimal expansion B. a number with a nonterminating decimal expansion C. a decimal with a nonrepeating decimal expansion D. a number with a nonrepeating and nonterminating decimal expansion
Answer:
D.
Step-by-step explanation:
A irrational number can be defined as those numbers which are real but can NOT be expressed in simple fractions. The term 'irrational' means 'a number which can not be expressed in ratio of two integers', 'no ratio.'
When a irrational number is expressed in decimal, the numbers keep on expanding without repeating andd without terminating, which means it keeps on expanding infinitely.
For example, π (pi) is an irrational number. When it is expressed in decimals it keeps on expanding non-repeatedly and unendingly.
Another example of an irrational number is √2.
Thus the correct statement that defines irrational number is option D.
Answer:
D. a number with a nonrepeating and nonterminating decimal expansion
Step-by-step explanation:
How do I Simplify i^54
Answer:
[tex]i^{54}=-1[/tex]
Step-by-step explanation:
First, recall the 4 basic imaginary exponents:
[tex]i^1=i \text{, }i^2=-1\text{, }i^3=-1\text{ and } i^4=1[/tex]
So, we want to find:
[tex]i^{54}[/tex]
This is the same as:
[tex]=i^{52}\cdot i^2[/tex]
52 is 4 times 13. Thus:
[tex]=(i^4)^{13}\cdot i^2[/tex]
Since we know that i to the fourth is 1:
[tex]=(1)^{13}\cdot i^2[/tex]
Simplify:
[tex]=i^2[/tex]
And this equals:
[tex]=-1[/tex]
So:
[tex]i^{54}=-1[/tex]
determine whether the given vectors are orthogonal parallel or neither. (a) u=<-9,9,3>, v=<12,-12,-4>
Answer:
parallel
Step-by-step explanation:
u = <-9,9,3>
v = <12,-12,-4>
test if the given vectors are orthogonal ( dot product = 0 )
we have to find the dot product of the vectors to determine is it will be = 0
u*v = (-9)*(12) + (9)*(-12) + (3)*(-4) = -108 -108 -12= -228 ≠ 0
hence the given vectors is not orthogonal
next check if the vectors are linearly dependent
(-9/12 ) = - 3/4
(9/-12) = - 3/4
( 3/-4 ) = - 3/4
since they are linearly dependent then they are parallel
What is the value of x in a & b?
Answer:
a. x = 9
b. x = 3.6
Step-by-step explanation:
a. By Basic proportionality theorem:
AB/BD = AC/CE
4/4 = x/9
1 = x/9
9 = x
x = 9
b.
[tex] In \: \triangle ABC \: \& \: \triangle EDF\\
\angle B \cong \angle D....(given) \\
\angle C \cong \angle F.....(given) \\
\therefore \triangle ABC \: \sim \: \triangle EDF.. (AA\: POSTULATE) \\
\therefore \frac{AB}{ED} = \frac{BC}{DF} ...(csst) \\
\therefore \frac{2}{5} = \frac{x}{9}\\
\therefore x = \frac{2\times 9}{5} \\
\therefore x = \frac{18}{5} \\
\huge \red{\boxed {\therefore x = 3.6}} \\[/tex]
Two types of flares are tested and their burning times are recorded. The summary statistics are given below: n = 35 n = 40 = 19.4 min = 15.1 min s = 1.4 min s = 0.8 min Construct a 95% confidence interval for the differences between the mean burning time of the brand X flare and the mean burning time of the brand Y flare.
a. 3.2 min < ?X - ?Y < 5.4 min
b. 3.6 min < ?X - ?Y < 5.0 min
c. 3.8 min < ?X - ?Y < 4.8 min
d. 3.5 min < ?X - ?Y < 5.1 min
Answer:
C. 3.8 min < ?X - ?Y < 4.8 min
Step-by-step explanation:
Let both flares be X and Y
For X
n1 = 35
Bar x1 =19.4
D1 = 1.4
For Y
n2 = 40
Bar X2= 15.1
S2 = 0.8
√(x1²/n1) + (x2²/n2)
=√ (1.4²/35)+(0.8²+40)
= 0.2683
Critical value, t = 2.032
We now have to calculate margin of error
0.2683x2.032
= 0.545 this is approximately equal to 0.5
Bar x1 - bar X2
= 19.4 - 15.1
= 4.3
At 95% confidence level
4.3+-0.5
4.3+0.5= 4.8
4.3-0.5 = 3.8
Therefore the answer is 3.8min<X-Y<4.8min
What is h(x) = –3x2 – 6x + 5 written in vertex form?
Answer:
y= 3(x-1)^2+2
Step-by-step explanation:
The vertex form for h(x)= -3x^2-6x+5 is y= 3(x-1)^2+2.
HOPE THIS HELPED!
HAVE A GREAT DAY!
The equation of the parabola h(x) = –3x² – 6x + 5 in the vertex form can be written as y = -3(x-1)²+8.
What is a quadratic equation?A quadratic equation is an equation whose leading coefficient is of second degree also the equation has only one unknown while it has 3 unknown numbers. It is written in the form of ax²+bx+c.
The vertex form of a quadratic equation is given as y = a(x-h)² + k, where h and k are the x and y coordinates of the vertex of the parabola.
Given the equation of the parabola, h(x) = –3x² – 6x + 5. Comparing the given equation with the general quadratic equation, the value of the variables a, b, and c can be written as shown.
ax² + bx + c
–3x² – 6x + 5
Therefore, the value of a, b, and c is -3, -6, and 5.
Now, substitute the values in the equation of the vertex of a parabola, now, the value of the h and k coordinates can be written as,
h = -b/(2a) = -(-6)/(2 × -3) = -1
k = c - b²/(4a) = 5 - [(-6)²/ (4× -3)] = 8
Hence, the equation of the parabola h(x) = –3x² – 6x + 5 in the vertex form can be written as y = -3(x-1)²+8.
Learn more about Quadratic Equations:
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Our hearts beat approximately 70 times per minute. Express in scientific notation how many times the heart beats over a lifetime of 73 years (ignore leap years). Round the decimal factor in your scientific notation answer to two decimal places.
Answer:
2.69 x [tex]10^{9}[/tex]
Step-by-step explanation:
We are given the heart's speed - 70 bpm
We count the number of minutes in 73 years :
1 year = 365 days1 day = 24 hours1 hour = 60 minutes73 x 365 x 24 x 60 = 38,368,800 minutesWe multiply the heart's bpm with 73 years worth of minutes
38,368,800 x 70 = 2,685,816,000
Write the number in scientific notation = 2.68581 x [tex]10^{9}[/tex] ≈ 2.69 x [tex]10^{9}[/tex]
The number of times a heart will beat in 73 years is required.
The heart will beat [tex]1.6\times 10^{11}\ \text{times}[/tex] in a lifetime.
AlgebraThe number of times heart beats per minute is 70.
Number of years in a lifetime is 73 years
Ignoring leap year a year has 365 days.
So minutes in a leap year is
[tex]365\times 24\times 60\times 60[/tex]
Minutes in a lifetime of 73 years
[tex]73\times 365\times 24\times 60\times 60[/tex]
The product of beats per minute and the minutes in a lifetime will given the required heart beats
[tex]70\times 73\times 365\times 24\times 60\times 60=1.6\times 10^{11}\ \text{beats}[/tex]
Learn more about algebra:
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Nine times the sum of a number and 8 is equal to 7.
Answer:
Verbal expression =9(x+8) =7
Step-by-step explanation:
Let the unknown number be x
[tex]9(x+8) =7\\[/tex]
Further solution ;
[tex]9\left(x+8\right)=7\\\\\mathrm{Divide\:both\:sides\:by\:}9\\\frac{9\left(x+8\right)}{9}=\frac{7}{9}\\\\Simplify\\x+8=\frac{7}{9}\\\\\mathrm{Subtract\:}8\mathrm{\:from\:both\:sides}\\x+8-8=\frac{7}{9}-8\\\\Simplify\\x=-\frac{65}{9}[/tex]
a bee has mass of 0.02 kg
Your question is not complete
24 points! need asap
Answer:
a. DC
b. B
c. ED
Ray CD is the same as ray DC.
A ray with the endpoint A would be ray BA. The starting point would be point B and ending point would be A.
The opposite ray to ray EC is ray ED. The two rays are opposite to each other.