Step-by-step explanation:
Pen colors given = Red and green
Ratio;
Green pen : Total pen
4 : 11
Solution:
1. what fraction of heathers pens are green;
Fraction = [tex]\frac{green pen}{total pen}[/tex] = [tex]\frac{4}{11}[/tex]
2. Ratio of green pens to red pens:
let the multiples = x
Green pen Red pen Total pen
4x ? 11x
Red pen = 11x - 4x = 7x
Ratio of green pen to red pen:
4 : 7
3. heather has 56 red pens. how many green pens does she have
Number of red pen = 56;
Number of green pens = ?
Since the ratio is;
4 : 7
Number of green pen = [tex]\frac{56 x 4}{7}[/tex] = 32
How many hundredths are in one tenth how many thousandths are in one hundredth
Answer:
10 hundredths
Step-by-step explanation:
One-tenth equals 0.1 and one-hundredth equals 0.01, which means that hundredth equals 10 hundredths.
What is the probability of scoring a total of 6
Find the distance from G(-3, -1) to the line whose equation is y = 4
The distance from G(-3, -1) to the line whose equation is y = 4 is; d = 5
How to find the Distance of a Line?
We are given the coordinate of point G as G(-3, -1).
We want to find the distance between that coordinate and the line y = 4.
Comparing the line with the equation Ax + By + C = 0 gives;
B = 1 and C = -4
Now, Equation for distance between line and coordinate axes points is;
d = |Ax + By + C|/√(A² + B²)
Thus;
d = |0(-3) + 1(-1) - 4|/√(0² + 1²)
d = |-5|
Since absolute value, then d = 5.
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A cylinder has a height of 20 inches and a diameter of 18 inches.
Find the surface area in terms of straight pi
Answer:
1639.91
Step-by-step explanation:
to work out surface area of a cylinder u do
A=2πrh+2πr2
hope this helps :)
i cant find the answer to 2 1/4 times 1/6?.. can someone help a kid out
Answer:
0.375 or 3/8
Step-by-step explanation:
calculator :)
frst to answer this gets brainliest!!!!
1. 641 divided by 43
2. 4684 divided by 27
3. 6455 divided by 64
Answer:
1. 14.91
2. 173.48
3.100.86
Step-by-step explanation:
all the answers are rounded to the nearest hundredth place, i believe.
Oxygen makes up about 20% of the volume of air. Which of these expresses the amount of air made up of oxygen?
PLZ I GIVE BRAILIEST
Answer:
Step-by-step explanation:
in decimal it is 20.00, in fraction it is 1/5.
What decimal is equivalent to StartFraction 8 over 100 EndFraction
Answer:
8/100 is equivalent to 0.08
If necessary, combine like terms. (5x+1)(5x-1)
Answer:2 5x^2-1
Step-by-step explanation:
HELP ME !I don’t know exactly how to do this
Answer:
x + 5
Step-by-step explanation:
Since she works x hours babysitting and 5 hours tutoring the equation should be x + 5
I am so sorry if I am wrong!!
A scanner can scan 20 pages and 120 seconds. How many pages can scan in 4 minutes?
Answer:
40 pages
Step-by-step explanation:
120 or 2 min x 2 = 4
20 x 2 = 40
Sorry I couldn't explain more, but I hope this helps!
Answer:
40 pages
Step-by-step explanation:
convert 4 mins -> 240 secs
then cross multiply 20/120 and x/240 (x represents the pages scanned)
u then get 120x=4800
simplify(divide)-> x=40
9(9r + 3s - 9)
Evaluate this
Look at this particle model, what state of matter does it represent? *
Answer:
Solid
Step-by-step explanation:
All of the particles are closely pressed to gather and they are not freely moving around, instead, they are just vibrating. This is what happens in solids, the particles are so close together that objects cannot move through them.
Marking Braniest!!! What is 100÷4÷4÷4
Answer:
1.5625
Step-by-step explanation:
100 divided by 4 is 25. 25 divided by 4 is 6.25 and 6.25 divided by 4 is 1.5625
Answer:
1.5625
This is what I think is the answer
help please !!!!!!!!!!!!!
Answer:
f(4)= -10
If g(x) =2, then x=0
Step-by-step explanation:
what divide by -1/2 equals -7/3
600 students are studying in a private
school, the average monthly fee of a
student is Rs. 1200. How much amount for
tax does the school pay to the government
as education service tax at the rate of 1% in
a year? *
Answer:
600 ×1200=720,000
720,000×12=8,640,000
8,640,000×1%=8,640,000÷100%=86,400
86,400 per year
What are reasons A, B, and C in the proof?
Prove: (4 · 3)l + (2 · 4)l = 20l
Statements Reasons
(4 · 3)l + (2 · 4)l = (4 · 3)l + (4 · 2)l A. _________________
= 4(3l + 2l) B. _________________
= 4(5l) Addition
= (4 · 5)l C. _________________
= 20l Multiplication
Answer:
A. Commutative property
B. Associative and distributive properties.
C. Associative property.
Step-by-step explanation:
We proceed to present which reason are utilized by supporting procedure:
1) [tex](4\cdot 3) \cdot i +(2\cdot 4)\cdot i[/tex] Given
2) [tex](4\cdot 3)\cdot i +(4\cdot 2)\cdot i[/tex] A. Commutative property
3) [tex]4\cdot (3\cdot i+2\cdot i)[/tex] B. Associative and distributive properties.
4) [tex]4\cdot (5\cdot i)[/tex] Addition.
5) [tex](4\cdot 5)\cdot i[/tex] C. Associative property.
6) [tex]20\cdot i[/tex] Multiplication/Result.
what is the place value of the 6 in 976.14
Answer:
represents the one value
Step-by-step explanation:
Ones place
someone help me on 2 and 3 plssssss
Answer:
<MSDBEF
Step-by-step explanation:
vqswdhbjfknhbdncdsujhc,f,jfd.sjbdvkjzsfnvb;krjbsv
5|7+4x|-7=48
Please help
Answer: 1.2
Step-by-step explanation:
first multiply 5 by 7 to get 35, and 5 by 4x to get 20x. Then add negative 7 to 35 and we have 28 subtract 28 from both sides getting 20x=20, so x is 1
A high definition radio station charges $200 per year in addition to $50 per month for
the first 3 months to receive its broadcast.
Answer:
4
Step-by-step explanation:
How do you do this question?
Answer:
B
Step-by-step explanation:
This is a ratio of polynomials. As n approaches infinity, an approaches 4n / n⁸ = 4 / n⁷, which is a convergent p-series.
Using Limit Comparison Test:
an = (2 + 4n) / (1 + n²)⁴
bn = 4 / n⁷
lim(n→∞) an / bn = 1
The limit is greater than 0, and bn converges, so an also converges.
What is the interquartile range (IQR) of the salaries?
25
35
70
100
Answer:
First you order the data from least to greatest
then find the mean
next you Calculate the median of both the lower and upper half of the data
The IQR is the difference between the upper and lower medians.
Step-by-step explanation:
The endpoints of EF¯¯¯¯¯ are located at E (−3, 2) and F (3, 8). Point D divides EF¯¯¯¯¯ such that ED : DF is equal to 1 : 3. For each box, select the values in the dropdown that make the statement true. The x-coordinate of point D is and the y-coordinate of point D is
Answer:
[tex]D(x,y) = (-1.5,3.5)[/tex]
Step-by-step explanation:
Given
[tex]E = (-3,2)[/tex]
[tex]F = (3,8)[/tex]
[tex]ED: DF = 1 : 3[/tex]
Required
Determine the coordinates of D
This is calculated as thus:
[tex]D(x,y) = (\frac{mx_2 + nx_1}{m+n},\frac{my_2 + ny_1}{m+n})[/tex]
Where:
[tex](x_1,y_1) = (-3,2)[/tex]
[tex](x_2,y_2) = (3,8)[/tex]
[tex]m:n = 1:3[/tex]
[tex]D(x,y) = (\frac{mx_2 + nx_1}{m+n},\frac{my_2 + ny_1}{m+n})[/tex]
[tex]D(x,y) = (\frac{1 * 3 + 3 *-3}{1+3},\frac{1 * 8 + 3 * 2}{1+3})[/tex]
[tex]D(x,y) = (\frac{-6}{4},\frac{14}{4})[/tex]
[tex]D(x,y) = (-1.5,3.5)[/tex]
Find the slope of the line y=4x+2
Answer:
M=4
Step-by-step explanation:
I hope this helps!
A pharmaceutical sales representative gets paid $50,000 annually plus
3.5% commission on total sales. This year he sold $420,000 in
pharmaceuticals. What are his annual total earnings?
100% = $420,000
3.5% = 3.5/100 × 420,000
= $ 14,700
Commission he earned = $14,700
Annual total earnings= $50,000 + $14,700
= $ 64,700
Answer:
14,500
Step-by-step explanation:
What value of x is in the solution set of 8x -6 > 12 + 2x?
-1
0
3
5
Answer:
x:5
Step-by-step explanation:
The value of 'x' in the solution set is 5 Option D
How to determine the value of xFrom the equation
8x -6 > 12 + 2x
Collect like terms
8x - 2x > 12 + 6
6 x > 18
Make 'x' subject of formula
x > 18/6
x > 3
If x is greater than 3, then x is 5
Therefore, the value of 'x' in the solution set is 5. Option D
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Write an equation in slope-intercept form for the line that has a slope of -1 that passes through (-4,3).
Answer:
[tex]\huge\boxed{y=-x-1}[/tex]
Step-by-step explanation:
The slope-intercept form of an equation of a line:
[tex]y=mx+b[/tex]
[tex]m[/tex] - slope
[tex]b[/tex] - y-intercept
The point-slope form of an equation of a line:
[tex]y-y_1=m(x-x_1)[/tex]
[tex](x_1;\ y_1)[/tex] - point on a line
========================================
We have
[tex]m=-1;\ (-4;\ 3)\to x_1=-4;\ y_1=3[/tex]
substitute
[tex]y-3=-1(x-(-4))\\\\y-3=-(x+4)\\\\y-3=-x-4\qquad|\text{add 3 to both sides}\\\\y-3+3=-x-4+3\\\\y=-x-1[/tex]
Lee is a teacher at a local high school who wanted to assess whether or not dogs physically resemble their owners enough for people to be able to correctly match a dog to their owner better than if just guessing. Lee, who is also a dog owner, showed pictures of two dogs to her class of 16 students. One photo was of the teacher's dog (Yoda) and the other photo was of a dog the teacher had never met. The students were asked to guess which dog was actually the teacher's. If dogs do not physically resemble their owners, the students would get a correct match with probability 0.50. It turned out that 14 of the 16 students correctly picked out the teacher's dog.
Does it appear that the population proportion of people who can correctly match a dog to their owner (out of two options) is better than just guessing?
Answer:
The decision rule is
Reject the null hypothesis
The conclusion is
There is sufficient evidence to conclude that the population proportion of people who can correctly match a dog to their owner (out of two options) is better than just guessing
Step-by-step explanation:
From the question we are told that
The sample size is n = 16
The population proportion = 0.5
The number that of students that picked out the teachers dog is k = 14
Generally the sample proportion is mathematically represented as
[tex]\^ p =\frac{k}{n}[/tex]
=> [tex]\^ p =\frac{14}{16}[/tex]
=> [tex]\^ p = 0.875 [/tex]
The null hypothesis is [tex]H_o : p = 0.5[/tex]
The null hypothesis is [tex]H_o : p > 0.5[/tex]
Generally the test statistics is mathematically represented as
[tex]z = \frac{\^ p - p }{\sqrt{ \frac{p(1- p )}{n} } }[/tex]
[tex]z = \frac{0.875 - 0.50 }{\sqrt{ \frac{0.50 (1- 0.50 )}{16} } }[/tex]
[tex]z = 3[/tex]
Generally the p-value is mathematically represented as
[tex]p-value = P(Z > 3)[/tex]
From the z table the probability of Z>3 is mathematically represented as
[tex]P(Z > 3) = 0.0013499[/tex]
So
[tex]p-value = 0.0013499 [/tex]
Let assume the level of significance is [tex]\alpha = 0. 05[/tex]
Generally from the value obtained we see that [tex]p-value < \alpha[/tex] Hence
The decision rule is
Reject the null hypothesis
The conclusion is
There is sufficient evidence to conclude that the population proportion of people who can correctly match a dog to their owner (out of two options) is better than just guessing