The sum of three consecutive even integers is 486. find all three integers
160 and 162 and 164
Step-by-step explanation:
To find the three even integers, use the equation
x + (x + 2) + (x + 4) = 486
Then solve:
Add the common terms (the xs and numbers)
3x + 6 = 486
Subtract the 6 from both sides
3x = 480
Then divide
x = 160
So 160 + (160 + 2) + (160 + 4) = 486
160 + 162 + 164 = 486
So your three consecutive even integers are
What is the simplest value of 4⁰
Answer:
1
Step-by-step explanation:
There are 8 circles and 10 triangles. What is the simplest ratio of circles to total shapes?
The simplest ratio is 4:9
PLEASE HELP!!! ASAP
determine the number and type of solutions to the equation: x^2+7x=-11
a.) two real solutions
b.) one real solution
c.) two imaginary solutions
d.) one imaginary solution
Answer:
b i think because for it to be imaginary, im sure there has to be an i in the equation
Answer:
A) Two Real Solutions
Step-by-step explanation:
Correct on Big Ideas Math :)
Dawn is making an abstract painting with two triangles. the dimensions are 6 in by 10 in and 8 in by 10 in. what is the total area in square inches.
Anwser: First triangle area =0.5*8*10=40 in2. Secound triangle area =0.5*8*6=24 in2 Sum is 1st area + 2nd area, which is 64 in2.
Solve for x. what is the measure of each indicated angle? show your work
Answer:
Angle y is also 40 degrees. Angle x and y are vertical angles, thus they have the same angle measure.
Step-by-step explanation:
Answer:
x is equal to 7
the measure of both angles is 23°
Step-by-step explanation:
1. set both equations equal to each other
2. 4x - x is 3x
3. 16 + 5 is 21
4. 3x = 21
5. divide both sides by 3
6. x equals 7
3 days ago • Mathematics • High School
11. The senior class at Eastside High School is get
class T-shirts
printed. The silkscreening
company that makes the shirts charges $8.25 per shirt and a one-tin
fee of $38 to make the
silkscreen. If the senior class has budgeted $4,500.00 for the T-shirts
what is the greatest
number of shirts they can order?
Answer:
Greatest number of t-shirts that can be ordered is 540.
Step-by-step explanation:
Given that:
Cost of printing one shirt = $8.25
One time fee to make the silkscreen = $38
Budget for the t-shirts = $4500.00
Let,
x be the number of t-shirts
According to given statement;
8.25x + 38 ≤ 4500.00
8.25x ≤ 4500.00 - 38
8.25x ≤ 4462.00
Dividing both sides by 8.25
[tex]\frac{8.25x}{8.25}\leq \frac{4462.00}{8.25}\\x\leq 540.84[/tex]
Hence,
Greatest number of t-shirts that can be ordered is 540.
The box plot represents a data set. What is the range of the middle 50% of the data?
Answer:
7
explanation:
15 - 8 = 7
The range of the middle 50% of the data is 7.
We have a set of numbers plotted on a number line.
We have to find the range of middle 50% of the data.
What is interquartile range ?The interquartile range abbreviated as (IQR) is a measure of statistical dispersion, which is the spread of the data. The IQR is also called the mid-spread, middle 50% and fourth spread.
According to the question -
The Interquartile range is the difference of third quartile and first quartile.
From the given figure -
First quartile = Q[1] = 8
Third quartile = Q[3] = 15
Range of IQR = Q[3] - Q[1] = 15 - 8 = 7
Hence, the range of the middle 50% of the data is 7
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What is the perimeter
Answer:
-2x + 3
Step-by-step explanation:
Perimeter means to add all the sides of the triangle. Simply combine like terms:
(3x) + (2x - 5) + (-7x + 8)
(3x + 2x - 7x) + (-5 + 8)
(5x - 7x) + (8 - 5)
-2x + 3
-2x + 3 is your answer.
~
The distance from Salvador’s job to his house is three times greater than the distance from his house to the school. If his house is between his job and the school and the distance from his job to the school is 6 miles, how far is it from Salvador’s house to the school?
SHOW YOUR WORK pls and ty
Answer:
His school is 1.5 miles away :)
Step-by-step explanation:
6/4 = 1.5 miles
1.5 miles means his house is 1.5 miles from his school
Check the answer (1.5 times 3) = 4.5 miles so his job is 4.5 miles away.
4.5 + 1.5 = 6 miles
The distance between Salvador's house and his school is 1.5 miles
Let :
Distance from house to school = dTherefore;
Distance from job to house = 3dThen ;
Distance from job to school = 6 milesSince, house is in between job and school :
Distance from job to school = d + 3d 6 miles = 4d d = 6 ÷ 4 = 1.5 milesThe distance from house to school = d ; hence, distance between his house and school is 1.5 miles.
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solve the inequality -1/3h_<7
Answer:
The solution to the given inequality
[tex]h\geq \frac{-1}{21}[/tex]
Step-by-step explanation:
Given inequality
[tex]\frac{-1}{3h} \leq 7[/tex]
⇒ -1≤ 7× 3h
⇒ -1 ≤ 21 h
⇒ 21 h ≥ -1
⇒ [tex]h\geq \frac{-1}{21}[/tex]
A cabinet, 4 chairs, and 2 tables cost $825. The cabinet costs 3 times as much as a chair. The table costs $120 more than a chair. What is the cost of the cabinet? Please answer with work so I know how to do It next time.
let
x = the cost of the cabinet
y = the cost of a chair
z = the cost of a table
A cabinet, 4 chairs and 2 tables cost $825
x + 4y + 2z = 825
The cabinet costs 3 times as much as a chair
x = 3y
The table costs $120 more than a chair
z = 120 + y
by solving the system of equations
x + 4y + 2z = 825
x = 3y
z = 120 + y
we find
x = $195
Solve the systems of equations using substitution
Answer:
C
Step-by-step explanation:
[tex]y = 2x + 3 \\ y = 3x + 1 \\ 2x = y - 3 \\ x = 0.5y - 1.5 \\ y = 3(0.5y - 1.5) + 1 \\ y = 1.5y - 4.5 + 1 \\ y - 1.5y = - 3.5 \\ 0.5y = 3.5 \\ y = 7[/tex]
[tex]x = 0.5(7) - 1.5 \\ x = 3.5 - 1.5 \\ x = 2[/tex]
(2, 7)
HELP!!
Construct the graph of the direct proportion y=kx for k=1
3,3
Pretty simple.
1 x 3 = 3
The graph of the direct proportion y = kx for k=1 is shown in figure.
What is linear expression?A linear expression is an algebraic statement where each term is either a constant or a variable raised to the first power.
Given that;
The direct proportion is defined as,
⇒ y = kx
Now, The equation for k = 1 is,
⇒ y = kx
⇒ y = 1x
⇒ y = x
Clearly, It represent the straight line.
Hence, The graph of y = x is shown in figure.
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What is the area, in square yards, of
the rectangle shown below?
12 yd
15 yd
F 225 square yards
G 54 square yards
H 180 square yards
J27 square yards
Answer:
area of rectangle=length ×breadth
area of rectangle=12yd×15yd
area of rectangle=180yd²
A grocery supplier believes that in a dozen eggs, the mean number of broken eggs is 0.6 eggs with a standard deviation of 0.3 eggs. You buy 3 dozen eggs without checking them.A) what is the expected number of broken eggs?B) what is the standard deviation?
Answer:
(a) 1.8 eggs
(b) 0.52 eggs
Step-by-step explanation:
According to the problem, computation of the given data are as follows:
The mean number of broken eggs in a dozen E(X) = 0.6
Standard deviation SD(X) = 0.3
(a). For 3 dozen eggs, number of broken eggs can be calculated by using following formula,
E(X) for 3 dozen = 3 × 0.6
= 1.8 eggs
(b). Standard deviation for 3 dozen can be calculated as follows,
SD (X) = ×[tex]\sqrt{3* (0.3)^{2}[/tex]
= [tex]\sqrt{27}[/tex][tex]\sqrt{27}[/tex]
= 0.52 eggs
Last school year, the student body of a local university consisted of 30% freshmen, 24% sophomores, 26% juniors, and 20% seniors. A random sample of 300 students taken from this year's student body showed the following number of students in each class.
Freshmen 83
Sophomores 68
Juniors 85
Seniors 64
We are interested in determining whether there has been a significant change in the distribution of class between the last school year and this school year.
A) What is the expected number of freshmen?
B) What is the expected number of seniors?
C) What is the calculated value for the test statistic?
D) What is the p-value?
E) At 95% confidence, should the null hypothesis be rejected?
Answer:
1.66
Step-by-step explanation:
We need to conduct a chi square test
The statistic used to check this is given by the below
∑(n, 1) = [(O(i) - E(i)] / E(i)
From the question, we're told the observed value is
Freshmen
Sophomore
Junior
Senior.
After that, we then calculate the expected value.
Freshman
0.3 * 300 = $90
Sophomore
0.24 * 300 = $72
Statistics then finally gives us this
X² = (93 - 90²)/90 + (68 - 72)²/72 + (85 - 78)/78 + (64 -60)²/60
X² = 3² / 90 + 4² / 73 + 13² / 78 + 4² / 60
X² = 0.1 + 0.212 + 2.167 + 0.266 x+
X² = 2.745
X = √2.745
X = 1.66
Iman’s favorite colors are \blue{\text{blue}}bluestart color #6495ed, start text, b, l, u, e, end text, end color #6495ed and \pink{\text{pink}}pinkstart color #ff00af, start text, p, i, n, k, end text, end color #ff00af.
She has \blue{\text{1 blue shirt}}1 blue shirtstart color #6495ed, start text, 1, space, b, l, u, e, space, s, h, i, r, t, end text, end color #6495ed, \pink{\text{1 pink shirt}}1 pink shirtstart color #ff00af, start text, 1, space, p, i, n, k, space, s, h, i, r, t, end text, end color #ff00af, \blue{\text{1 blue hat}}1 blue hatstart color #6495ed, start text, 1, space, b, l, u, e, space, h, a, t, end text, end color #6495ed, \blue{\text{1 blue belt}}1 blue beltstart color #6495ed, start text, 1, space, b, l, u, e, space, b, e, l, t, end text, end color #6495ed, \blue{\text{1 blue pair of pants}}1 blue pair of pantsstart color #6495ed, start text, 1, space, b, l, u, e, space, p, a, i, r, space, o, f, space, p, a, n, t, s, end text, end color #6495ed, and \pink{\text{1 pink pair of pants}}1 pink pair of pantsstart color #ff00af, start text, 1, space, p, i, n, k, space, p, a, i, r, space, o, f, space, p, a, n, t, s, end text, end color #ff00af.
Iman selects one of these garments at random. Let AAA be the event that she selects a pink garment and BBB be the event that she chooses a shirt.
What is P(A\text{ or }B)P(A or B)P, left parenthesis, A, start text, space, o, r, space, end text, B, right parenthesis, the probability that the garment Iman chooses is pink or a shirt?
Answer:
1/2
Step-by-step explanation:
i got this from camellarosegarcia. thank you camellarosegarcia!!!
also got it right on Khan :)
The answer of probability that the garment Iman chooses is pink or a blue shirt is 1/2
What is Probability ?Probability means possibility.
It is a branch of mathematics that deals with the occurrence of a random event.
The value is expressed from zero to one.
The meaning of probability is basically the extent to which something is likely to happen.
Divide the number of events by the number of possible outcomes. This will give us the probability of a single event occurring.
In this case Iman has 2 choices pink or blue
So the probability that the garment Iman chooses is pink or a blue shirt
is 1/2 .
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Pleaseeeeee helppppppp
Select the correct answer from each drop-down menu.
Gilbert is training for a bike race. As part of his training, he does practice rides on portions of the actual race course. Gilbert's first practice ride
covers 5 miles of the course, and his second practice ride covers 9 miles of the course. Between these practice rides, he increase his average speed by 2 miles/hour .
The denominator of the function that models practice ride 2 represent the
A . Increase in Gilbert’s average biking speed
B. Distance Gilbert’s travels
C . Time it takes Gilbert’s to travel 5 miles
D . Biking speed for the second practice ride .
To find a function that models the total amount of time Gilbert spend doing practice rides on the race course
A . Add
B. Multiply
C . Divide
D . Subtract
The functions
Answer:
D . Biking speed for the second practice ride
Add
Step-by-step explanation:
Given :
First practice ride:
Distance = 5 miles
2nd practice ride :
Distance = 9 miles
Time models for each practice ride ;
First practice ride :
a(x) = 5 / x
x = speed
2nd practice ride :
b(x) = 9 / (x + 2)
Recall :
Time taken: distance / speed ; compacting with time taken equation of the 2nd practice ride :
Hence,
Speed of 2nd practice ride = x + 2
B.) To obtain a function for the total amount of time :
We take the sum of the first and second practice time : a(x) + b(x)
5/x + 9/(x+2)
Answer: For plato family
Biking speed for the second practice ride .
Add
Step-by-step explanation:
I just took the test
2.5% of what number is 14?
Answer: 560
Step-by-step explanation: 2.5 percent (calculated percentage %) of what number equals 14? Answer: 560.
The unknown number will be; 560.
How to find the percentage from the total value?Suppose the value of which a thing is expressed in percentage is "a'
Suppose the percent considered thing is of "a" is b%. Then the percent shows per 100 (since cent means 100).
a x b/100 = a x b%
WE need to find the 2.5% of unknown number is 14.
Let the unknown number be x
Then;
2.5% of x = 14.
Simplify;
2.5/100 × x = 14
0.0025 × x = 14
x = 14/0.0025
x = 560
Hence, the unknown number will be; 560.
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Simplify the expression: 355 – (3+4. 2)2
Answer:
340.6
Step-by-step explanation:
355 - 7.2 * 2 =
355 - 14.4 =
340.6
Simplify the following
3 27a3b9
1.1
X (2aºb)3
81512
Answer:
HI BYE 45 SO ME I THINK IT I DONT KNOW SO PEACE GOOD LUCK
Find the midsegment.
Answer:
14
20+8=28/2
your welcome
Factor completely 2x3 + 6x2 + 2x + 6
Answer:
2(x+3)(x2+1)
Step-by-step explanation:
Marcus rolled a number cube and recorded his results in the table. What is the experimental probability that the next roll is a five? Round your answer to the nearest whole percent.
Answer:
The probability is 13.33%
Step-by-step explanation:
Probability
The probability of an outcome is defined as the frequency of the number of times the outcome occurs (f) relative to the number of times that it could have occurred (n).
The formula to calculate the probability is:
[tex]\displaystyle P=\frac{f}{n}[/tex]
Marcus rolled a number cube and the results are recorded in a table where it can be noted that the number five rolled f=24 times. The total number of trials is n=30+45+30+28+24+23=180.
The probability that the next roll is a five is:
[tex]\displaystyle P=\frac{24}{180}[/tex]
Simplifying:
[tex]\displaystyle P=\frac{24}{180}[/tex]
[tex]\displaystyle P=\frac{2}{15}[/tex]
Dividing:
[tex]\displaystyle P=0.1333 = 13.33\%[/tex]
The probability is 13.33%
Lin wants to save 75$ for a trip to the city. If she has saved $37.50 so far, what percentage of her goal has she saved? What percentage remains?
Answer:
37.50÷75=0.5 so first you are dividing bcus u need to find what percentage she has saved.
Answer:
O.5 because u need to divide and give me brainlessly plz
Step-by-step explanation:
CS Algebra
Test Iten
Given the equations below, what is the product of x and y?
3
8(x - 2) = 2x + 8
ay+9 = -2(y + 1)
=
A 16
B 4
C4
0 c
D -16
Answer:
Hope this helps :)
Step-by-step explanation:
8(x - 2) = 2x + 8
y+9 = -2(y + 1)
value of x in 8(x - 2) = 2x + 8
x=4
substitue
y+9=−2(y+1)
value of y y+9=−2(y+1)
y= - 11/3 or 3.66...
x=4
y=4 (I rounded 3.66)
An individual is presented with three different glasses of cola, labeled C, D, and P. He is asked to taste all three and then list them in order of preference. Suppose the same cola has actually been put into all three glasses. What is the probability that C is ranked first and D is ranked last?
Answer and explanation:
Probability = number of favorable outcomes/ total number of outcomes
Since all glasses labelled C, D, and P are all same Cola
Probability that C is ranked first = 1/3
Probability that D is ranked last = 1/3
Find the indicated probabilities using the geometric distribution, Poisson distribution, or the binomial distribution. The mean number of births per minute in a given country in a recent year was about 6. Find the probability that the number of births in any given minute is exactly five. Round to four decimal places as needed.
Answer:
0.1606 = 16.06% probability that the number of births in any given minute is exactly five.
Step-by-step explanation:
In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by the following formula:
[tex]P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}[/tex]
In which
x is the number of sucesses
e = 2.71828 is the Euler number
[tex]\mu[/tex] is the mean in the given interval.
In this question:
We only have the mean during an interval, and this is why we use the Poisson distribution.
The mean number of births per minute in a given country in a recent year was about 6.
This means that [tex]\mu = 6[/tex]
Find the probability that the number of births in any given minute is exactly five.
This is P(X = 5). So
[tex]P(X = 5) = \frac{e^{-6}*6^{5}}{(5)!} = 0.1606[/tex]
0.1606 = 16.06% probability that the number of births in any given minute is exactly five.
*PLEASE HELP QUICK*
Felipe is driving at a constant speed. The distance travelled depends on time.
d= distance in miles
t= time in hours
what is the rate of change of felipes driving speed?
how far will felipe drive in 6hrs?
9514 1404 393
Answer:
0150 milesStep-by-step explanation:
The appropriate relation is ...
distance = speed · time
d = 25t
__
The rate of change of Felipe's driving speed* is zero, since his speed is given as constant.
Felipe will drive 150 mile in 6 hours, as found using the equation:
d = 25(6) = 150
_____
* The question posed here asks for rate of change of driving speed. Perhaps, you want rate of change of distance, which is driving speed: 25 miles per hour.