Answer:
The third one is correct, the others bend the truth as they can touch but not overlap. As the third one states 'They are organized in equal intervals.' this means they share an equal growth opportunity within their own column, their own height and nominated place within the histogram. The bars are of equal width and correspond to the equal class intervals. But on rare occasions like size classes they can be shown as a wider variant within their groups. Example would be showing a wider column say on classes at a school as the width and data being achieved forces a true event of variant sizes in education upon the base of the graph, this rarely applies to staff graphs as planning for schools is a wider data share than say offices using these types of graphs. Work development would use just data percentages along with the frequencies is one example so group size are stated in the reports to support more specific data in the graphs instead.
Step-by-step explanation:
To display numerical data that has been organized into equal intervals. The bars should touch the adjacent bars but not overlap. These intervals allow you to see the frequency distribution of the data, or how many pieces of data are in each interval.
Answer:
c
Step-by-step explanation:
Which line on the graph below has an undefined slope?
A. P
B. Q
C. R
D. S
Answer:
r
Step-by-step explanation:
got right on my test on edge
write the interval of points that are less than -4
The interval of points less than -4 is represented as (-∞, -4) in interval notation. This represents all the numbers to the left of -4 on the number line, not including -4.
Explanation:In Mathematics, when we refer to the interval of points that are less than a given number, we are discussing a range on a number line. For the question at hand, the interval of points that are less than -4 will consist of all numbers to the left of -4 (not including -4 itself). In interval notation, we typically express this as (-∞, -4). Here, the parenthesis ( as opposed to a bracket [ ) signifies that -4 is not included in our interval. Infinity ( ∞ ) is used to show that the range extends indefinitely.
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An exam consists of 4 true/false questions and 6 multiple-choice questions with a, b, c, d, and e as
options. How many different ways could the exam be completed if someone randomly answered the
questions?
Answer:
Step-by-step explanation:
To answer this problem, you break the answer into two parts, one part for the true/false section and another part for the multiple-choice section.
True/False
There are 2 ways to answer each of the 4 true/false questions, T or F.
The number of ways to answer the trur/false section is [tex]2\times2\times2\times2=2^4=16[/tex].
Multiple-Choice
There are 5 ways to answer each question so the number of ways to answer this section is
[tex]5\times5\times5\times5\times5=5^6=15625[/tex]
You can answer the T/F section in 16 ways and the M/C section in 15625 ways, so the entire exam can be answered in
[tex]16\times15625=250000[/tex] ways!
It's mind-boggling that only 1 of those ways gets a score of 100%!
4x-2 >-18
what is the answer?!
Hope this will help u....
Find the 4 numbers which have a mode of 12, a median of 14 and range of 10
Answer:12, 12, 16, 22
Step-by-step explanation:
1. The number that occurs most is the mode
2. The range is the difference between the highest number and the lowest number.
3. The median in this case is the mean of the two middle numbers
A possible set of 4 numbers that fulfil the conditions of having a mode of 12, a median of 14 and a range of 10 could be: 11, 12, 12, 21.
Explanation:In this problem, we need to find 4 numbers that meet the given statistical conditions - A mode of 12, a median of 14, and a range of 10. The mode is the most frequently occurring number. As there are only 4 numbers, for 12 to be the mode, it must appear at least twice. The median is the middle value when numbers are put in ascending order, so the middle numbers in our 4 number series must average to 14. Finally, the range is the difference between the largest and smallest numbers, which is stated as 10.
Using the above conditions, an example set could be: 11, 12, 12, and 21. Here, 12 is the mode (appears most frequently), 14 is the median (average of the two middle numbers 12 and 12) and 21-11 gives a range of 10.
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Find X (image attached)
Line NP is a tangent line, so angle N is 90 degrees.
Use the Pythagorean theorem to solve for x.
X = sqrt( 10^2 - 6^2)
X = sqrt(100-36)
X = sqrt(64)
X = 8
Enter the degree of the polynomial below.
5х^5 + 8х^2 + 2х - 3x^9 - 8x^4 - 4х^5
A. 9
B. 6
C. 8
D. 5
Answer:
choice A. 9 is the degree.
Step-by-step explanation:
5х^5 + 8х^2 + 2х - 3x^9 - 8x^4 - 4х^5
to find the degree of this polynomial, you must look for the highest number in the exponent.
Here it appears to be 9 in the -3x^9 term
Help what is the square root of 4
Answer:i think 2
Step-by-step explanation: 2*2=4
Answer:2
Step-by-step explanation:2x2=4
which equation represents a line parallel to the line whose equation is -2x+3y=-4 and passes through the point 1,3
Answer:
-2x+3y=7
or
2x-3y= -11
Step-by-step explanation:
-2x+3y= -4, which is Ax+By=C
A=-2 B=3 C=-4
m(slope)= -A/B
m= -(-2)/3
m= 2/3
y-y1= m (x-x1)
y-3= 2/3 (x-1)
Multiply by 3 cancels out the fraction
3y-9= 2 (x-1)
Distributive property
3y-9= 2x-2
-2x+3y-9= -2
From here it could go 2 ways:
1. -2x+3y= 7
or
2. 2x-3y+9= -2
so
2x-3y= -11
Hope this helps
Solve the equation log(x−7)=2
Answer:
x=107
Step-by-step explanation:
Hellpppppppppppppppp
Answer:
The sum of the interior angles of this polygon is (180°)(9 - 2) = 7(180°) = 1,260°.
Mrs. Smith wants to use an installment plan to buy a washing machine and dryer set priced at $1,500. The installment plan requires a down payment of 12%. How much will Mrs. Smith have to pay at the time of purchase (not including taxes)? A. $120 B. $150 C. $180 D. $1,200
Option C) Smith have to pay $180 at the time of purchase.
Step-by-step explanation:
Mrs. Smith wants to use an installment plan to buy a washing machine and dryer set priced at $1,500.
Therefore, the total cost = $1500The down payment for the installment plan is 12%.We need to find the payment amount at the time of purchase.
This can be calculated by finding the 12% of the total price $1500.
Smith have to pay at the time of purchase = 12% of 1500
⇒ (12/100) × 1500
⇒ 12 × 15
⇒ 180
Hence, option C) $180 is the amount need to be paid by the Smith at the time of purchase.
Mrs. Smith will have to pay $180 at the time of purchase, not including taxes. This matches option B.
To find the down payment Mrs. Smith has to pay at the time of purchase, we need to calculate 12% of the total price of the washing machine and dryer set.
The total price of the set is $1,500.
The down payment is 12% of this price.
To calculate the down payment, we multiply the total price by the down payment percentage:
Down payment = Total price x Down payment percentage
Down payment = $1,500 x 12%
First, we convert the percentage to a decimal by dividing by 100:
12% = 12 / 100 = 0.12
Now we can calculate the down payment:
Down payment = $1,500 x 0.12
Down payment = $180
Therefore, Mrs. Smith will have to pay $180 at the time of purchase, not including taxes. This matches option B.
7/2x+1/2x = 18+ 9/2x
Answer:
x=-36
Step-by-step explanation:
Add the 7/2x +1/2x to be 8/2x which means that it'll be 4x=18=9/2
then subtract 9/2x on both sides so itll be
[tex]4x=18+\frac{9}{2} x[/tex]
-9/2x -9/2x
[tex]-\frac{1}{2} x=18[/tex] because if you do 8/2-9/2 it's -1/2
then multiply the reciprocal to both sides so
[tex](\frac{2}{-1})(-\frac{1}{2}x)=(\frac{2}{-1})(18)[/tex]
which then cancels out -1/2 and makes it
x=-36
The perimeter of a rectangular field is 344 yards. If the width of the field is 79 yards, what is it’s length
Answer:
Im not to sure but 93
Step-by-step explanation:
if the width is 79, then 79 plus 79 is 158
and 344 minus 158 is 186
and 186 divided by two is 93
hope that helped :)
Answer:
93 yards
Step-by-step explanation:
When you have a rectanglular field, you can double the width, and then double the length, then add them together to get the perimeter.
If the perimeter is 344, and the width is 79, we can double it to find the value of 2 of the sides, because, if you are on a rectangular field, double the width, then you have to add it to the lengt doubled.
79+79=158
We can subtract 344 by 158 to get the doubled version of the length. After we find the doubled version of the length, we have to divide that by 2.
344-158=186
Now, like I said, we have to divide 186 by 2 to find how much the length is.
186/2=93
The length is 93 yards.
When the following quadratic equation is written in general form, what is the value of "c"?
-3/4x^2 + 2 = 0
Answer:
The value of c is -8
Step-by-step explanation:
Given
[tex]\frac{-3}{4} x^2 + 2 = 0[/tex]
Required
The value of c, when written in a general form.
The general form of a quadratic equation is written as ax² + bx + c = 0
To get the general form of [tex]\frac{-3}{4} x^2 + 2 = 0[/tex], we start by converting the fraction to whole number.
This is done by multiplying both sides of the equation by the denominator of the fraction (4)
Multiply through by 4; This gives us
[tex]4 * \frac{-3}{4} x^2 + 4 * 2 = 4 * 0[/tex]
[tex]-3x^2 + 8 = 0[/tex]
From the general form of a quadratic equation, ax² + bx + c = 0 , it'll be observed that a is positive and by comparison a = -3 (in [tex]-3x^2 + 8 = 0[/tex])
So, we have to convert -3 to a positive integer by multiplying both sides of the equation by -1. This gives
[tex]-1 * -3x^2 + -1 * 8 = -1 * 0[/tex]
[tex]3x^2 - 8 = 0[/tex]
Writing [tex]3x^2 - 8 = 0[/tex] in a more general form, we have
[tex]3x^2 + 0x - 8 = 0[/tex]
By comparing ax² + bx + c = 0 to [tex]3x^2 + 0x - 8 = 0[/tex]
a = 3
b = 0
c = -8
Hence, the value of c is -8
The value of "c" in the quadratic equation -3/4x^2 + 2 = 0, when written in the general form ax²+bx+c = 0, is 2.
The question asks, "When the following quadratic equation is written in general form, what is the value of "c"? -3/4x^2 + 2 = 0". In the general form, a quadratic equation is presented as ax²+bx+c = 0. To identify the value of c in this equation, we need to compare it to the general form. The given equation, -3/4x² + 2 = 0, already matches the general form where a = -3/4 and b = 0 (since there is no x term), leaving us with +2 as the constant term. Therefore, the value of c is 2.
The largest doll is 12 inches tall. The height of each of the other dolls is 710 the height of the next larger doll. Write an expression involving a power for the height of the smallest doll. Then evaluate the expression to find the height of the smallest doll to the nearest tenth of an inch.
The height of the smallest doll can be found using the expression
To the nearest tenth, the height of the smallest doll is
inches.
Answer:
Expression for smallest doll: 12(7/10)^3
Step-by-step explanation:
Since the largest doll is 12 inches, and we need to find the expression for the smallest one, we would multiply 12 and 7/10. Secondly, there are 4 dolls. We need to find the smallest doll's height, so it would be 7/10 times 7/10 times 7/10. Which could be simplified to (7/10)^3.
For the second question, just solve the expression and that is the height of the smallest doll.
[tex] \frac{12151}{3}\pi [/tex]
round to the neatest whole number
The two-way table displays the hair color of the sophomore (So), junior (Jr), and senior (Sr) classes at West Coast High School, represented by percents in the table. A 5-column table has 3 rows. The first column has entries Blonde, brown, total. The second column is labeled Sophomore with entries 10, 10, 20. The third column is labeled Junior with entries 30, 20, 50. The fourth column is labeled Senior with entries 20, 10, 30. The fifth column is labeled Total with entries 60, 40, 100. Let E be the event that the student is blond, and let F be the event that the student is a junior. Are events E and F independent? P(E|F) = % P(E) = % Events E and F are
Answer:
P(E|F)=60% P(E)=60% Events E and F are independent
Step-by-step explanation:
I took it and got it right
The events E (being blond) and F (being a junior) are not independent because P(E|F) = 30% does not equal P(E) = 60%.
Explanation:To determine whether the events E (being blond) and F (being a junior) are independent, we compare the probability of E given F, denoted as P(E|F), to the probability of E. If P(E|F) is equal to P(E), the two events are independent. Using the table, we first calculate P(E|F). Since 30% of juniors are blond, we have P(E|F) = 30%. Next, we determine P(E) by looking at the total percentage of students who are blond, which is 60%. Now, we compare P(E|F) with P(E).
If the events were independent, the probability of a student being blond should not change based on whether they are a junior. However, since P(E|F) = 30% which is different from P(E) = 60%, events E and F are not independent.
Amir and Marvin continue until they each flip a coin
200 times. How do you expect Amir's results and
Marvin's results to compare? How will their results
compare with expected results based on theoretical
probability?
We are told that each person flips a coin 200 times. We know that a coin has two options when heads or tails fall, therefore, the results between Amir and Marvin are compared with the number of heads and the number of tails that each one obtained.
The theoretical probability says that out of 200 times a coin is flipped by having 50% heads or tails come out, 100 must be heads and 100 must be tails, theoretically obviously speaking.
Therefore with these values it would be the comparison.
Answer:
3456
Step-by-step explanation:
$1.79. Coupon: 25 cents. What is the final price?
Answer: 1.54
Step-by-step explanation: all you have to do is subtract 1.79 and 25 and you will get 1.54
Answer $1.54
Step-by-step explanation:
You have to take your original amount and subtract your coupon from that
6.
(08.01)
The graph shows two lines, M and N.
A coordinate plane is shown with two lines graphs. Line M has a slope of 1 and passes through the y axis at negative 2. Line N has a slope of 1 and passes through the y axis at negative 2.
How many solutions are there for the pair of equations for lines M and N? Explain your answer. (5 points)
Answer:
infinite solutions, they overlap infinetely and go on infinitely, therefore they have infinite points of intersection.
Step-by-step explanation:
BRAINLIET PLZ
The number of solutions for the coincident lines is infinity many solutions.
What is the linear system?A Linear system is a system in which the degree of the variable in the equation is one. It may contain one, two, or more than two variables.
A coordinate plane is shown with two lines graphs.
Line M has a slope of 1 and passes through the y axis at negative 2.
Line N has a slope of 1 and passes through the y axis at negative 2.
It means that both lines are one over the other which is coincident.
Then the number of solutions for the coincident lines is infinity many solutions.
More about the linear system link is given below.
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a right rectangular prism has a base area of 20cm2 and a height of 9.2cm. what is the volume of the prism ??
The volume of the rectangular prism can be calculated by multiplying the base area (20cm2) with the height (9.2cm), giving a volume of 184cm3.
Explanation:The volume of a rectangular prism can be calculated as the product of its base area and its height. This is a formula that mathematically represents the process of 'filling' the three-dimensional shape with tiny cubes, each having a side length of 1 cm. In this case, the given base area of the rectangular prism is 20cm2, and the height is 9.2cm.
To find the volume, you multiply these two measurements together. So, 20cm2 * 9.2cm = 184cm3. Hence, the volume of the rectangular prism is 184cm3.
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Please help me idk what the answer is?!??
Answer:
w ≤ 13
Step-by-step explanation:
-2(w-4) ≥ -18
Divide both sides by -2:
w-4 ≤ -18/-2
Don't forget to turn the inequality around, because we divided by a negative number!! We had greater than, now we have less than.
w-4 ≤ 9
Add 4 to both sides:
w ≤ 13
Vicky works in retail. Her annual gross salary is $24,000. From this, she must pay 15% income tax. In addition, she must repay a loan at a rate of $120 per month. The loan amount is taken out of her post-tax pay (i.e. after the tax has been calculated). What is Vicky's take home pay per month?
Answer:
Vicky's take home pay per month will be $1,580
Step-by-step explanation:
Given that her salary per annual i.e salary for the year = $24,000
Therefore salary per month would be $24,000/12 = $2,000.
From this, she must pay 15% income tax.
i.e 15% of salary
15/100 * 2000
= 0.15*2000
= $300.
Salary after paying tax = $2,000 - $300= $1,700.
Since, she must repay a loan at a rate of $120 per month we will reduct the loan from her salary,
$1,700 - $120 = $1,580
Vicky's take home pay per month will be $1,580
Answer: Vicky's take home pay per month is $1,580
Step-by-step explanation: If Vicky's annual gross salary (salary before any deductions) is given as 24000, then her monthly gross salary is derived as;
Salary Per month = 24000/12
Salary per month = 2000
She must pay 15 percent income tax and this derived as follows;
Income tax = 2000 x 0.15
Income tax = 300
Therefore her salary after tax deduction is derived as follows;
Salary after tax = 2000 - 300
Salary after tax = 1700
However, she must repay a loan (after tax deduction) at a rate of 120 per month, which is now derived as follows;
Salary after loan repayment = 1700 - 120
Salary after loan repayment = 1580
Therefore the calculations show that her take home pay after all adjustments comes down to $1,580 per month.
A robot that makes _/8 of a boat per day will make 7 boats in 8 days
What is the center of the circle?
Answer:
C
Step-by-step explanation:
(3, -1)
Answer:
Your answer would be C
Step-by-step explanation:
Hope this helped!!!
Tell me if I am wrong
In account is gaining value at a rate of 4.9% per year that account held $150 and it's first year how much will be in the account after 10 years
Answer:
$242
Step-by-step explanation:
You will need to use the compound interest formula for this.
[tex]P(1+\frac{r}{n} )^{nt}[/tex]
P = initial balance
r = interest rate
n = number of times compounded annually
t = time
Your equation will look like this:
[tex]150(1+\frac{.049}{1} )^{10}[/tex] = $242
Your answer is: $242
(Express each ratio in lowest terms)
2/3 : 22/9
Answer:
3/11
Step-by-step explanation:
You have to divide the factors, so you would multiply 2 times 9 over 3 times 22. When you multiply them together you get 18 over 66. If you simplify that then you would get 3/11
A copy machine makes 19 copies in 3 minutes and 15 seconds. How many copies does it make per minute?
Answer:
6
Step-by-step explanation:
It makes 19 copies in 3 minues and 15 seconds
3 minutes and 15 seconds is 195 seconds
195 ÷ 19 = 10 approximately which means the machine makes 1 copy every 10 seconds and 6 copies per minute
Answer: 5.846 ~ 6copies
Step-by-step explanation:
A copy machine makes 19copies in 3minutes and 15secs
How many copies in per minute
I.e how many copies per minute
Looking at this,
Convert the 3mins 15secs all into mins
I.e convert the 15secs into mins
Remember that 60secs makes 1mins
So 15secs will make x
Cross multiply
15secs ×1= 60secs ×x
X= 15/60
X= 0.25mins
Add to the already 3mins
That makes
=3mins+0.25mins
=3.25mins
Now,
19copies done in 3.25mins
Let the unknown copies be h
19copies in 3.25mins
H copies in 1mins
Cross multiply
H×3.25mins=19×1mins
3.25H=19
H=19/3.25
H= 5.846copies
H=~6copies
So the copying machine makes approximately 6copies per minute
What is the sum of the zeros of the equation (m-4) (3m-2)=0 ? Enter your answer as a fraction.
Answer:
4 2/3
Step-by-step explanation:
(m-4) (3m-2)=0
Use the zero product property to find the zeros
m-4 = 0 3m-2 =0
m =4 3m =2
m = 2/3
We want the sum of the zero's
4+ 2/3
4 2/3
From the quadratic equation (m-4) (3m-2)=0, we find the zeros of this equation are m=4 and m=2/3. The sum of the zeros is 4 + 2/3 = 4 2/3 or 14/3.
Explanation:The subject of the question is related to the zeros of a quadratic equation. A zero of a function is also referred to as a root or solution of the equation, which is the value of m that makes the function equal to zero. This equation has the form of (m-4) (3m-2)=0. It has two zeros: m=4 from (m-4)=0 and m=2/3 from (3m-2)=0.
Since the question asks for the sum of the zeros, we need to add these two solutions together: 4 + 2/3 = 4 2/3 or 14/3, which is our final answer.
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