Answer: 3-6km
Step-by-step explanation:
1-6m ranges from the height of a child to about the length of a classroom.
2-6cm is about the length of your finger.
3-6km is a long distance. For example, a 5K is 5 kilometers.
Solve the equation
X/x+2 - 4/x-2=1
Answer: - 2/3 but in decimal form it is -0.6 repeating
Step-by-step explanation:
What are the dimensions of the following matrix
A loan of $7,000 for 4 acres of woodland is compounded somiannually at an annual rate of 8% for 3 years.
How much INTEREST is paid at the end of 3 years?
Answer:
$560
Step-by-step explanation:
The coordinates of 4 points are A(0,9), B(k + 1, k + 4), C(2k, k + 3) and
D(2k + 2, k + 6). Find the value(s) of k if
(a) the points A, B and C are collinear,
(b) AB is parallel to CD.
9514 1404 393
Answer:
(a) 2 or 3
(b) -13
Step-by-step explanation:
(a) A, B, and C are collinear if there is some constant 'c' such that ...
B - A = c(C - A)
This will give rise to two equations in 'c' and 'k'.
(k +1, k +4) -(0, 9) = c((2k, k+3) -(0, 9))
(k +1, k -5) = c(2k, k -6)
And the two equations are ...
k +1 = 2ck
k -5 = c(k -6)
From the first, we find ...
c = (k +1)/(2k)
From the second, we find ...
c = (k -5)/(k -6)
Equating these expressions for c gives ...
(k +1)/(2k) = (k -5)/(k -6)
(k +1)(k -6) = 2k(k -5) . . . . . . . multiply by 2k(k-6)
k^2 -5k -6 = 2k^2 -10k
0 = k^2 -5k +6 = (k -3)(k -2)
Solutions that make the factors zero are ...
k = 3 or k = 2
There are two values of k that make the points collinear: 2 and 3.
__
(b) AB is parallel to CD when the slopes of the lines between them are the same
slope of AB = (k+4 -9)/(k+1 -0) = (k -5)/(k +1)
slope of CD = ((k +6 -(k +3))/(2k +2 -2k) = 3/2
Equating these slopes and solving for k, we get ...
(k -5)/(k +1) = 3/2
2(k -5) = 3(k +1)
2k -10 = 3k +3
-13 = k
AB is parallel to CD when k = -13.
_____
The attached shows the collinear points on the red and blue lines. The points that make parallel lines are shown on the purple lines. (The purple circles correspond to points D for k=2 and 3, so are irrelevant.) Point D is not labeled with its coordinates, (-24, -7).
Hellppppppppp!!!!!!!!!!
Answer:
0= - 3
1= - 1
2= 1
That is the answer to the table
A firm is hired by a small town to estimate the proportion of large trucks that are carrying hazardous materials on the main highway through the town. Of 350 randomly selected trucks, 87 were carrying hazardous materials. Is there evidence at the 5% level that the proportion of large trucks carrying hazardous materials is less than 30%?
A. No, since the p-value of the one-sided test is less than 5%.
B. Yes, since the sample proportion is less than 30%
C. The sample size is too small to make a determination.
D. Yes, since the p-value of the one-sided test is less than 5%.
E. No, since the sample proportion is larger than 5%
Answer:
D. Yes, since the p-value of the one-sided test is less than 5%.
Step-by-step explanation:
Test if there is evidence that the proportion of large trucks carrying hazardous materials is less than 30%.
At the null hypothesis, we test that this proportion is of 30%, that is:
[tex]H_0: p = 0.3[/tex]
At the alternate hypothesis, we test if this proportion is less than 30%, that is:
[tex]H_1: p < 0.3[/tex]
The test statistic is:
[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
In which X is the sample mean, [tex]\mu[/tex] is the value tested at the null hypothesis, [tex]\sigma[/tex] is the standard deviation and n is the size of the sample.
0.3 is tested at the null hypothesis:
This means that [tex]\mu = 0.3, \sigma = \sqrt{0.3*0.7}[/tex]
Of 350 randomly selected trucks, 87 were carrying hazardous materials.
This means that [tex]n = 350, X = \frac{87}{350} = 0.2486[/tex]
Value of the test statistic:
[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
[tex]z = \frac{0.2486 - 0.3}{\frac{\sqrt{0.3*0.7}}{\sqrt{350}}}[/tex]
[tex]z = -2.1[/tex]
P-value of the test and decision:
The p-value of the test is the probability of finding a sample proportion below 0.2486, which is the p-value of z = -2.1.
Looking at the z-table, z = -2.1 has a p-value of 0.0179.
The p-value of the test is 0.0179 < 0.05, which means that there is evidence at the 5% level that the proportion of large trucks carrying hazardous materials is less than 30%. Thus, the correct answer is given by option D.
The state of Georgia's HOPE scholarship program guarantees fully paid tuition to Georgia public universities for Georgia high school seniors who have a B average in academic requirements as long as they maintain a B average in college. It was reported that 28.3% of a random sample of 137 students entering Ivan Allen College at Georgia Tech (Social Science and Humanities) with a HOPE scholarship lost the scholarship at the end of the first year because they had a GPA of less than 3.0. It was also reported that 22 of a random sample of 111 students entering the College of Computing with a B average had lost their HOPE scholarship by the end of the first year.
Required:
Is there evidence that the proportion who lose HOPE scholarships is different for the College of Computing than for the Ivan Allen College?
Answer:
We accept H₀ p₁ = p₂ : We don´t have evidence to support any difference between the proportions
Step-by-step explanation:
Information from Ivan Allen College;
Sample size n₁ = 137
The proportion of students failing
p₁ = 0,283 q₁ = 1 - p₁ q₁ = 1 - 0,283 q₁ = 0,717
Information from College of Computing:
Sample size n₂ = 111
x₂ ( number of students failing ) = 22
The proportion of students failing
p₂ = 0,1981 q₂ = 1 - 0,1981 q₂ = 0,8019
Hypothesis Test:
Null Hypothesis: H₀ p₁ = p₂
Alternative Hypothesis Hₐ p₁ ≠ p₂
Alternative Hypothesis indicates the test is a two-tail test
Choosing a significance level α = 0,05 ( Confidence Interval 95%)
we get from z table z(c) = 1,64
To obtain z(s)
z(s) = ( p₁ - p₂ ) / EED
EED = √(p₁*q₁)/n₁ + p₂*q₂)/n₂
EED = √ (0,283*0,717)/137 + ( 0,1981*0,8019)/111
EED = √ 0,00148 + 0,00143
EED = 0,054
And
z(s) = ( 0,283 - 0,1981 )/ 0,054
z(s) = 1,57
Comparing z(c) and z(s)
z(c) > z(s)
Then z(s) is in the acceptance region for H₀ : We accept H₀
Which best describes the solution for the system of linear equations graphed below?
-6 -5 -4 -3 -2 -1 0
1 2 3 4 5 6
- 2
A (0,5) only
B (1,0) only
C no solution
D infinitely many solutions
Answer:
D is correct Answer. Parallel line on graph means infinity many solutions.
Find the solution to the system of equations
Answer:
(-1, 1)
Step-by-step explanation:
Just look at where the two lines intersect and thats the soloution
If you place a 38-foot ladder against the top of a 32-foot building, how many feet will the bottom of the ladder be from the bottom of the building? Round to the nearest tenth of a foot.
Answer: 20.5
Step-by-step explanation:
The distance between the bottom of the ladder from the bottom of the building will be 20.5 feet.
What is a Pythagoras theorem?The Pythagoras theorem states that the sum of two squares equals the squared of the longest side.
The Pythagoras theorem formula is given as
H² = P² + B²
In the event that you place a 38-foot stepping stool against the highest point of a 32-foot building.
Let 'x' be the horizontal distance on the ground. Then the equation is given as,
38² = 32² + x²
Simplify the equation, then we have
1444 = 1024 + x²
x² = 420
x = 20.5 feet
The distance between the bottom of the ladder from the bottom of the building will be 20.5 feet.
More about the Pythagoras theorem link is given below.
https://brainly.com/question/343682
#SPJ2
If i had $3,000,000 And i wanted to buy a large screen tv that costs 123,000,000 how much money will i need to sve up to buy the tv?
Answer:
$120,000,000
Step-by-step explanation:
Just do $123 million - $3 million
a bag contains 2 white marbles and 7 purple marbles. 2 marbles are drawn at random.
Answer:
7/36
Step-by-step explanation:
Complete
A bag contains 2 white marbles and 7 purple marbles. Two marbles are drawn at random. One marble is drawn and not replaced. Then a second marble is drawn. What is the probability of selecting a purple marble and then a white marble?
Total outcome = 2 + 7 = 9marbles
Pr(picking purple) = number of purple/total outcome
Pr(picking red) = 7/9
Since the first marble is not replaced, the total outcome becomes 8 marbles
Pr(picking white) = 2/8 = 1/4
Probability of selecting a purple marble and then a white marble = 7/9 * 1/4 = 7/36
50 POINTS !!
PLEASE HELP AND EXPLAIN !! ILL GIVE BRAINLIEST TO THE RIGHT ANSWERS.
Answer:
Answer is 35 yd
Step-by-step explanation:
Which of the following choices is an equivalent expression for 12(r + t) - 6(r + t) + 4(r + t) - 2(r + t)
A
8(r - t)
B
8(r + t)
C
8r + 7t
Answer:
B 8(r + t)
Step-by-step explanation:
We must evaluate the equation in order to get the answer
12(r + t) - 6(r + t) + 4(r + t) - 2(r + t)
6(r + t) + 4(r + t) - 2(r + t)
10(r + t) - 2(r + t )
8(r + t)
The answer is B
Giving Brainly! It’s not 50 x 0.15... thank you :)
Answer:
30
Step-by-step explanation:
You made the same mistake as you did the last time
if you have 50 stocks paying you .15 4 times a year that means you get
50*.15*4= 30
Plsss help I’ll mark u brainliesttt
algebra two I need to show all work so please if you do help please help me with the work portion
Answer:
8.
[tex]\sqrt[3]{\frac{7x^3}{64y^4} } = \frac{(7x^3)^{\frac{1}{3}} }{(64y^4)^{\frac{1}{3} }} =\frac{7^{\frac{1}{3} }*x}{4^3^{\frac{1}{3} }y^4^{\frac{1}{3} }} =\frac{x}{4} \sqrt[3]{\frac{7}{y^4} }[/tex]
9.
[tex]\frac{4+\sqrt{6} }{3\sqrt{6} } =\frac{(4+\sqrt{6} )(\sqrt{6}) }{3\sqrt{6} \sqrt{6} } =\frac{4\sqrt{6}+6 }{3*6} =\frac{4\sqrt{6} +6}{18} =\frac{2\sqrt{6} +3}{9}[/tex]
10.
[tex]\frac{2 + 5\sqrt{2} }{2-\sqrt{2} }= \frac{(2 + 5\sqrt{2})(2+\sqrt{2}) }{(2-\sqrt{2})(2+\sqrt{2} ) } = \frac{4+ 2\sqrt{2} + 10\sqrt{2} +10 }{2^2 -\sqrt{2}^{2} } =\frac{14 + 12\sqrt{2} }{4-2} =\frac{14 + 12\sqrt{2} }{2} = 7 + 6\sqrt{2}[/tex]
What type of graph would have the title, "Monthly Company Profit for the Year?"
a. bar graph
b. line plot
c. line graph
d. pictograph
Answer:
b
Step-by-step explanation:
Answer:
a i think a
Step-by-step explanation:
All of the following represent five multiplied by four except _____.
5(4)
5^4
5 · 4
5 × 4
quickly help 1//////////////////////////////////
Answer:
1 [tex]\frac{2}{8}[/tex]
Step-by-step explanation:
The largest is 1 [tex]\frac{4}{8}[/tex], and the smallest is [tex]\frac{2}{8}[/tex]. 1 [tex]\frac{4}{8}[/tex] - [tex]\frac{2}{8}[/tex] = 1 [tex]\frac{2}{8}[/tex].
How many ways can a person choose 3 desserts from a desserts tray 8 desserts
In combinatorics, this question is a combination question, because combination deals with selection while permutations deal with arrangement.
[tex]nCr = \frac{n!}{(n - r)!r!} \\ [/tex]
Plugging in our values,
[tex]8C3 = \frac{8!}{(8 - 3)!3!} = \frac{8!}{5!3!} = \frac{8 \times 7 \times 6 \times 5!}{5!3!} = \frac{8 \times 7 \times 6}{3 \times 2} = 56 \\ [/tex]
That means 3 desserts from a tray of 8 desserts 56 times.
What type of function is present? y=-2x+1
O Linear Inequality
O Exponential
O Linear Equation
Cubic
Step-by-step explanation:
i think it's linear equation
The matching section of an exam has 3 questions and 7 possible answers. In how many different ways can a student answer the 3 questions, if none of the answer choices can be repeated?
O combination
O permutation
Answer:permutations
Step-by-step explanation:
Find the circumference and the area for this shape
Answer:
Hello!
Im using 3.14 for pi
circumference: 43.96
area: 153.86
Hope that helps!
Answer:
43.96km
Step-by-step explanation:
hope this helps, braniliest plzz
please answer this question
Answer: 12
Step-by-step explanation:
Find the equation of the line that passes through (3,1) and is parallel to
y
=
2
x
+
1
.
Leave your answer in the form
y
=
m
x
+
c
Answer:
b
Step-by-step explanation:
HELPPP PLSSS!!!!!!!!!! QUICK!!!!!!! ILL GIVE BRAINLEST
Answer:
76
Step-by-step explanation:
50 POINTS!
Only help if you know how to do the problem please.
Answer:
The position equation will be:
[tex]y(t)=2sin(\frac{2\pi}{3} t)[/tex]
Step-by-step explanation:
The general position equation of mass attached to a spring is given by:
[tex]y(t)=Asin(\omega t-\phi)[/tex]
Where:
A is the amplitude of the sinusoidal motion ω is the angular frequency (ω=2πf)∅ is the phase (zero in our case)We know that it takes 3 sec for the spring to complete one cycle. It means the period is T = 3 s.
Let's recall that T = 1/f where f is the frequency, so f = 1/3 Hz and hence ω=2π(1/3)=2π/3.
The amplitude is the distance from the origin to the crest. In our case, A = 4/2 in = 2 in, because the distance from the highest to the lowest is 4.
Therefore, the position equation will be:
[tex]y(t)=2sin(\frac{2\pi}{3} t)[/tex]
I hope it helps you!
Can someone help me please?
Answer:
4.5in, 8in
Step-by-step explanation:
So, what is radius?
Well, diameter is the distance from one side of a circle to the other.
Radius is half of diamater, or the distance from any side to the middle of the circle.
Problem #1:
In this case, the distance from side of the circle to the other side is 9.
Since this is side to side, it must be diameter. We know that radius is half of diameter, so radius is:
9/2
=
4.5
This is your radius.
Problem #2:
In this case, the distance from the one side to the other side of the circle is 16. Again, this is the diameter. So the radius will be half of 16:
16/2
=
8
So this is your radius.
Hope this helps!
Answer:
4.5 in. and 8 ft. respectively
Step-by-step explanation:
The diameter of a circle is the product of the radius and 2. So, the radius would be the quotient of the diameter and 2.
Pls help I’ll brainlest ASAP
Answer:
A) -1
Step-by-step explanation:
anything raised to the zero power is 1 but if there is a negative without parentheses around it then it becomes -1
ex, (-4)° = 1
Answer:
It would be -1.
Step-by-step explanation:
This is because any postive number to the power of 0 equals 1 but since there is a negative sign, it would become -1.