Answer:
(a) 36 routes
(b) 6 routes
Step-by-step explanation:
Given
[tex]North\ Point \to Boulder\ Creek = 3[/tex]
[tex]Boulder\ Creek \to Beaver\ Dam = 4[/tex]
[tex]Beaver\ Dam \to Star\ Lake= 4[/tex]
[tex]Boulder\ Creek\to Star\ Lake= 2[/tex]
Solving (a): From [tex]North\ Point[/tex] to [tex]Star\ Lake[/tex] through [tex]Beaver\ Dam[/tex]
To do this, we consider the following routes;
[tex]North\ Point \to Boulder\ Creek \to Beaver\ Dam \to Star\ Lake[/tex]
Taking a pair of routes, we have:
[tex]North\ Point \to Boulder\ Creek = 3[/tex]
[tex]Boulder\ Creek \to Beaver\ Dam = 4[/tex]
[tex]Beaver\ Dam \to Star\ Lake= 4[/tex]
By multiplication route, we have:
[tex]Routes = 3 * 4 * 3[/tex]
[tex]Routes = 36[/tex]
(b) From [tex]North\ Point[/tex] to [tex]Star\ Lake[/tex] bypass [tex]Beaver\ Dam[/tex]?
To do this, we consider the following routes
[tex]North\ Point \to Boulder\ Creek \to Star\ Lake[/tex]
Taking a pair of routes, we have:
[tex]North\ Point \to Boulder\ Creek = 3[/tex]
[tex]Boulder\ Creek\to Star\ Lake= 2[/tex]
By multiplication rule, we have:
[tex]Routes = 3 * 2[/tex]
[tex]Routes = 6[/tex]
Find the volume of a cone that has radius = 2 1/2 and height = 5.
98.1
26.2.
32.7
65.4
Answer:
98.1 is your anwser I know this kinds of stuff
Step-by-step explanation:
v=22/7×r^2×h/3
=22/7×21/2×5/3
=33/5
=11cm^3
This trapezoid-based right pyramid has a volume of 48 m3 what is the area?
Answer:
18m^3
Step-by-step explanation:
Khan Academy, It shows how to do the steps
Bob wants to fix the window on his house, but can’t quite reach it he gets a ladder to access the window, which is 15 feet from the ground, and he places the ladder 8 feet from the house. How long does the ladder have to be if it reaches the window exactly?
Using the following conversions between the metric and U.S. systems, convert the measurement.
Round your answer to 6 decimal places as needed.
1 meter = 3.28 feet
1 Liter = 0.26 gallons
1 kilogram = 2.20 pounds
12.892 dam = [answer] in miles
Answer:
It's 23.131 KL
Please help!
Thank you ☺️
Answer:
I think it's,1,7,7 that will not make a triangle
hope this help
Will give brainlst!!
Have a amazing day :)
Pls help
Answer:
Sorted Data Set: 2, 10, 12, 13, 14, 15, 17, 18, 18, 20, 21
Mean (Average) 14.545454545455
Median 15
Range 19
Mode 18, appeared 2 times
Geometric Mean 12.803503609558
Largest 21
Smallest 2
Sum 160
Count 11
First Quartile Q1 = 12
Second Quartile Q2 = 15
Third Quartile Q3 = 18
Interquartile Range IQR = 6
Factor out the GCF of the three terms, then complete the factorization of x4 + 7x + 10x^2
connie poured 200 milliliters of juice into a glass from a juice carton. She then poured 225 milliliters into a second glass. What is the final change in the volume of the carton?
Answer:
425 ml
Step-by-step explanation:
200+225= 425 ml
Review graph I and graph II.
On a coordinate plane, a parabola labeled Graph 2 opens down. It goes through (negative 2, 0), has a vertex at (negative 2, 7), goes through open circle (negative 4, 5), and goes through (negative 6, 0).
On a coordinate plane, a parabola labeled Graph 1 opens down. It goes through (negative 2, 0), has a vertex at (negative 2, 7), goes through open circle (negative 4, 5), and goes through (negative 6, 0). An open circle is at (negative 4, 8).
Which statement compares the limit as x approaches –4 for the two graphs?
In both graph I and graph II, the limit is 5.
In both graph I and graph II, the limit does not exist.
In graph I, the limit does not exist, but in graph II, the limit is 5.
In graph I, the limit is 8, but in graph II, the limit does not exist.
Answer:
A - in both graph I and graph II, the limit is 5
Step-by-step explanation:
:)
Answer:
A - in both graph I and graph II, the limit is 5
Step-by-step explanation:
the guy above me lol
Yumiko Yoshida wants to pay his $1,058.90 annual premium monthly. What is his monthly payment?
a shopkeeper bought 2 watches for rs 400. he sold them to gain 5% one and loss 5% on other. calculate his final gain or loss percent. if the selling price of both watches is same.
In an aquarium 2/5 of the fish or surgeonfish. Of these, 3/4 are yellow tangs. what fraction of all fish in the aquarium or yellow tangs
Answer:
3/10 of the aquarium are yellow tangs.
Step-by-step explanation:
Given that in an aquarium 2/5 of the fish or surgeonfish and of these, 3/4 are yellow tangs, to determine what fraction of all fish in the aquarium are yellow tangs the following calculation must be performed:
2/5 = 0.40
0.40 x 3/4 = X
1.20 / 4 = X
0.30 = X
0.30 = 3/10
Therefore 3/10 of the aquarium are yellow tangs.
The Diagram below shows rectangle PLUM find the area of PLUM if entering answer as a decimal, round your final answer to the nearest hundredth. Please Help!
Answer:
75 Units
Step-by-step explanation:
i got this on khan :)
Find the solution of the system of equations shown on the graph.
Answer:
(7,9)
Step-by-step explanation:
equations of lines are:
y = x + 2
y = 3x - 12
x + 2 = 3x - 12
-2x = -14
x = 7
y = 7 + 2
y = 9
The Virginia Department of Environmental Quality (VDEQ) uses probabilistic monitoring to regulate the water quality of streams in the Commonwealth of Virginia. Of the 85 Eastern Virginia Sites (group 1), 24 do not meet minimum requirements. Of the 80 units sampled in Western Virginia Sites (group 2), 17 do not meet minimum requirements. Assume the data can be treated as independent simple random samples. To determine whether the proportions of streams that fail to meet minimum requirements in the two areas are equal or not, test the following hypotheses.
a) State the null and alternative hypotheses in order to determine whether the proportions of streams that fail to meet minimum requirements in the two areas are equal or not .
(b) Calculate the value of the test statistic z.
(c) Determine the P-value associated with this observed value of z and draw the conclusion about the hypotheses using alpha=0.05.
Step-by-step explanation:
a) Hn: p1=p2, Ha: p1≠p2
b)
Given:
p1=24/85=0.2824
p2=17/80=0.2125
p=(24+17)/(85+80)=41/165=0.2485
n1=85
n2=80
Z=(p1-p2)/[p(1-p)(1/n1+1/n2)
Z=(0.2824-0.2125)/[0.2485(1-0.2485)(1/85+1/80)
Z=1.0384
c) Since our p-value would be 0.29834, this is higher than our significance level of a=0.05, so we fail to reject the null hypothesis and conclude that there is sufficient evidence to prove that the two proportions are equal.
a) The null hypothesis is given by Hn: p1=p2, Ha: p1≠p2
What is null hypothesis?The hypothesis that there is no significant difference between specified populations, any observed difference being due to sampling or experimental error.
Given that:
p1=24/85=0.2824
p2=17/80=0.2125
p=(24+17)/(85+80)=41/165=0.2485
n1=85
n2=80
Z=(p1-p2)/[p(1-p)(1/n1+1/n2)
Z=(0.2824-0.2125)/[0.2485(1-0.2485)(1/85+1/80)
Z=1.0384
c) Since our p-value would be 0.29834, this is higher than our significance level of a=0.05, so we fail to reject the null hypothesis and conclude that there is sufficient evidence to prove that the two proportions are equal.
To know more about Null hypothesis follow
https://brainly.com/question/15980493
#SPJ2
WILL GIVE BRANLIEST.
Which of the following statements are true?
Select 4 correct answers
1. All of the coordinate pairs in Quadrant 1 are positive.
2. All of the coordinate pairs in Quadrant 3 are negative.
3 All of the coordinate pairs in Quadrant 2 are positive.
4 Everything to the left of zero on the x axis is negative, everything below zero on the y axis is negative.
5The x axis is positive in quadrants 1 & 3
6 The y axis is negative in Quadrants 3 & Quadrant 4.
Answer:
1. True
2. True
3. False
4. True
5. False
6. True
7. Jesus.
Rachel received $650 for her birthday. She purchased a surfboard for $477 and some additional accessories without spending more than the money she received.
She wrote the inequality 477 + x < 650.
Is the inequality correct?
Answer:
No, because the inequality symbol should be less than or equal to 650
How many odd numbers are in 10 to 50?
Answer:
20
Step-by-step explanation:
11,13,15,17,19,21,23,25,27,29,31,33,35,37,39,41,43,45,47,49
I Bought 10 apples three days ago. 3 of them were rotten, I ate 2 and gave 5 away. How many apples do I have left?
I'll give you 30 points if you get this right. CHOOSE WISELY :)
Answer: 0
Step-by-step explanation: if you gave 5 away your left with 5 if 3 were rotten your left with 2 but you ate 2 meaning you have no apples left.
I need the answer I don’t know what it is so can anybody help.
Answer:
4√3
Step-by-step explanation:
The left triangle is a 30°-60°-90° triangle.
30-60-90 triangles have special side proportions that you should memorize, because you will definitely use it in the future. Please see the attached image.
You can get x by taking 8 and dividing it by 2 to get 4, then multiplying it by √3 to get 4√3.
Really stumped on these 2 problems anybody know anything? "Find the circumference of each circle. Round to the nearest tenth. Use 3.14 or 22/7 for π"
Answer:
1. 15.7 in
2. 153.9 cm
Step-by-step explanation:
The circumference of a circle is found by the formula:
C = 2 * pi * r, where r represents the radius.
For the first circle, we substitute in 3.14 for pi and the given radius:
C = 2 * 3.14 * 2.5
C = 15.7 in
However, for the second circle, the diameter is given instead of the radius.
As the radius is just half of the diameter, we can find that it is 24.5 cm.
Substituting the values in, we get:
C = 2 * 3.14 * 24.5
C = 153.86 cm
Rounding to the nearest tenth gives us:
153.9 cm
Make sure to use the correct units for each question.
What is the measure of m?
m=6
this is because m=n=6 since the triangle is an equilateral triangle
hope it helps:)))
Answer:
m=6 hope this helps. byer
what is the answer to 50.25 times x
Taylor has a set of 13 cards, labeled 1 through 13. If she chooses a card at random, what is the probability that the number on it is a prime number?
Answer:
B. 6/13
Step-by-step explanation:
No of sample space, n(s) = 13
Prime numbers
= ( 2 , 3 , 5 , 7 , 11, 13 )
No of favourable cases, n (e) = 6
Now
Probability that the number on it is a prime number is
P(E) = n(e) / n(s)
= 6/13
Hope it will help :)❤
What is the angle of elevation of the sun when a 44 ft mast casts a 13ft shadow?
Answer:
here
Step-by-step explanation:
Let the angle of elevation be \thetaθ
\begin{gathered} \therefore \tan \: \theta = \frac{height \: of \: mast}{height \: of \: shadow} \\ \\ \therefore \tan \: \theta = \frac{44}{14} \\ \\ \therefore \tan \: \theta = 3.14285714 \\ \\ \therefore \: \theta = {\tan}^{ - 1} (3.14285714) \\ \therefore \: \theta = 72.349875765 \degree \\ \\ \huge \red{ \boxed{\therefore \:\theta = 72.35 \degree}}\end{gathered}
∴tanθ=
heightofshadow
heightofmast
∴tanθ=
14
44
∴tanθ=3.14285714
∴θ=tan
−1
(3.14285714)
∴θ=72.349875765°
∴θ=72.35°
Hence, angle of elevation of the sun is 72.35°.
HELP ME PLEASEEEEEEEEE
Answer:
1.7 pounds
Step-by-step explanation:
7.9 - 6.2= 1.7
which numbers are between 3 1/3 and 8 7/10
there are numbers 2 and 9
Cody is purchasing sports equiptment for $161.37. In Colorado, the sales tax is 2.9%. What is the total cost, including tax, on his purchase?
Answer:
$166.04
Step-by-step explanation:
take the price and add the percentage.
Answer:
166.05
Step-by-step explanation:
161.37x1.029
A physiologist believes he has discovered a new steroid hormone that can control the blood glucose in mammals. In an experiment he injects laboratory rats with a small amount of this steroid hormone and, after a suitable waiting period measures the blood glucose level of the rats. In his twelve experimental rats he obtains the following levels of blood glucose {35,36,37,33,34,35,33,35,37,36,34,35}. From previous studies of thousands of normal, un-manipulated rats he knows that the mean (mu) blood glucose level in this species of rat (his laboratory population) is 31 and that the standard deviation is 4.12. Evaluate the hypothesis that this new steroid hormone affects blood glucose levels. Use an alpha-level of 0.01 for this analysis.
Required:
a. What is the appropriate test?
b. State the null hypothesis.
c. State the alternative hypothesis.
d. Find the critical value.
e. Calculate the obtained statistic.
Answer:
1.) One sample t test
2.) New steroid does not decrease blood glucose level in rats ; H0 : μ = 31
3.) New steroid does blood glucose level in rats ; H1 : μ ≠ 31
4.) 2.718
5.) 3.36
Step-by-step explanation:
We only have one sample; hence, we use an independent sample t test.
Given the sample data :
X : 35,36,37,33,34,35,33,35,37,36,34,35
Using calculator;
Sample mean, Xbar = 35
Null hypothesis ;supports that the mean glucose level of species equals ; H0 : μ = 31
The alternative hypothesis ; H1 negates the null hypothesis and aligns with the sample mean ; 35 > 31 ;
H1 : μ > 31
The critical value can be obtained from the T-distribution table ;
α = 0.01 ; degree of freedom, df = n - 1 = 12 - 1 = 11
Tcritical value = 2.718
Tstatistic : (xbar - μ) ÷ (s/√n)
Tstatistic = (35 - 31) ÷ (4.12/√12)
Tstatistic = 3.36
Tstatistic is more extreme Than the critical value
Factor completely 21x3 + 35x2 + 9x + 15.
Answer:
= ( 3 x + 5 ) ( 7 x² + 3 )
Step-by-step explanation: