Answer:
Rate of the boat in still water 73 mi/hr
Rate of the current 18 mi/hr
Step-by-step explanation:
Calculation to determine the rate of the boat in still water and the rate of the current
Let B represent the speed of the boat in still water.
Let S represent the speed of the stream
Speed upstream = B-S.
Speed downstream = B+S.
Using the equation for distance
Distance=Rate * Time
Upstream
(B-S)7 = 385
(B+S)5= 455
Simplify first:
B-S=385/7
B-S = 55
B+S=455/5
B+S = 91
Solve by elimination. Add the two equations.
2B=55+91
2B = 146
B=146/2
B = 73 mi/hr
Substitute this into either equation and solve for S.
B+S = 91
73+S = 91
S=91-73
S = 18 mi/hr
Therefore the rate of the boat in still water is 73 mi/hr and the rate of the current is 18 mi/hr
Pls pls pls pls help pls
Answer:
only 5
Step-by-step explanation:
What is the sum? Complete the equation.
8+(-18) =
help plsss fast plsplspsls
Suppose that you are looking for a student at your college who lives within five miles ofyou. You know that 55 percent of the 25,000 students do live within five miles of you. Yourandomly contact students from the college until one says he or she lives within five miles ofyou. What is the probability that you need to contact four people
Answer:
The probability that I need to contact four people is 9.11%.
Step-by-step explanation:
Since I am looking for a student at my college who lives within five miles of me, and I know that 55 percent of the 25,000 students do live within five miles of me, and I randomly contact students from the college until one says he or she lives within five miles of me, to determine what is the probability that I need to contact four people, the following calculation must be performed:
0.45 x 0.45 x 0.45 = X
0.2025 x 0.45 = X
0.091125 = X
Therefore, the probability that I need to contact four people is 9.11%.
In the map below, Side P Q is parallel to Side S T.
Triangle P Q R. Side P Q is 48 kilometers and side P R is 36 kilometers. Triangle S R T. Side R T is 81 kilometers.
What is the distance between S and T? If necessary, round to the nearest tenth.
21.3 km
60.8 km
108 km
117 km
answer C.
Answer:
C.
Step-by-step explanation:
Select Parameter or Statistic to classify each statement.
1.) 85% of those surveyed were in favor of bike lanes.
Parameter or Statistic
2.) Each member of the soccer team has an average of 2 jerseys.
Parameter or Statistic
3.) Of the 100 swim teams surveyed across America, 23 practice 10 hours a week.
Parameter or Statistic
4.) The golf team's average score is 79.
Parameter or Statistic
Answer:
1) Statistic
2) Parameter
3) Statistic
4) Parameter.
Step-by-step explanation:
Parameter: is a number that describes the whole population.
Statistic: is a number that describes a sample.
The difference is:
50% of the cats are nice (parameter, because talks about all the cats)
out of 100 cats surveyed, 39 are nice (statistic, because talks about a sample of 100 cats)
Then:
1) 85% of those surveyed were in favor of bike lanes.
This only refers to the surveyed people, so this only refers to a sample (and not the population that this sample represents) then this is a statistic statement.
2) Each member of the soccer team has an average of 2 jerseys.
In this case, we are talking about the whole population (the soccer team) then this is a parameter
3) Of the 100 swim teams surveyed across America, 23 practice 10 hours a week.
Here the information is about the sample (only 100 swim teams). So here the correct option is statistic.
4) The golf team's average score is 79
Here the information is about the average score for the entire golf team, so this information is about all the population in the golf team, then in this case the correct option is parameter.
Answer:
Statistic
Parameter
Statistic
Parameter
Step-by-step explanation:
i took the test :)
Element X is a radioactive isotope such that every 6 years, its mass decreases by a half. Given that the initial mass of a sample of
Element X is 46 grams, write a function to model the mass of the element.
expand : log3(x^3/81y^2)
Answer:
Use rules of logarithms to expand.
2
log
3
(
x
)
−
4
−
4
log
3
(
y
)
Step-by-step explanation:
Can anyone PLEASE help me with this!?
Solve the system of equations and choose the correct answer from the list of options.
d + e = 12
−d + e = −8
Label the ordered pair as (d, e). (4 points)
(0, 0)
(2, 10)
(10, 2)
(12, 0)
9514 1404 393
Answer:
(c) (10, 2)
Step-by-step explanation:
Adding the two equations, we have ...
(d +e) +(-d +e) = (12) +(-8)
2e = 4
e = 2 . . . . . . matches choice C
(d, e) = (10, 2)
Answer:
The ordered pair as (d, e) is (10, 2).Step-by-step explanation:
Given that:
d + e = 12 ______(i) - d + e = - 8 ______(ii)To Label:
The ordered pair as (d, e).Adding equation (i) and (ii).
⟶ d + e + (- d + e) = 12 + (- 8)
⟶ d + e + - d + e = 12 - 8
Cancelling d.
⟶ 2e = 4
⟶ 2e = 2 × 2
Cancelling 2.
⟶ e = 2
In equation (i)
⟶ d + e = 12
Putting the value of e.
⟶ d + 2 = 12
⟶ d = 12 - 2
⟶ d = 10
Hence,
The ordered pair as (d, e) = (10, 2)A theater sold 465 tickets for the morning show and 576 tickets for the evening show. The theater makes $16 for each ticket sold. How much money did the theater make selling tickets for the morning show? ANSWE QUICKKK
Find the length of side x in simplest radical form with a rational denominator.
Answer:
8
Step-by-step explanation:
sin Θ = opp / hyp
Θ = 60
opp = 4
hyp = x
sin 60 = 4 / x sin 60 = 0.5 or 1/2
1/2 = 4 / x
x/2 = 4
x = 8
Manesh is putting new tile on a kitchen counter. Each sheet of tile will cover 1.5 ft squared. How many sheets of tile will Manesh need to cover the whole counter?
Answer:
I will try my best to help
Step-by-step explanation:
A psychologist would like to examine the effect of fatigue on mental alertness. An attention test is prepared which requires subjects to sit in front of a blank TV screen and press a response button each time a dot appears on the screen. A total of 110 dots are presented during a 90-minute period, and the reach subject. Two groups of subjects are selected. The first group (n 5) is tested after they have been kept awake for 24 hours. The second group (n-10) is tested in the morning after a full night's sleep. The data for these two samples are as follows:
Awake 24 hours rested
x=35 X=24
ss=120 ss =360
On the basis of these data, can psychologist conclude that fatigue significantly increases errors on an attention task? Test with α-05 and report effect size.
Answer:
The calculated value of t= 0.1908 does not lie in the critical region t= 1.77 Therefore we accept our null hypothesis that fatigue does not significantly increase errors on an attention task at 0.05 significance level
Step-by-step explanation:
We formulate null and alternate hypotheses are
H0 : u1 < u2 against Ha: u1 ≥ u 2
Where u1 is the group tested after they were awake for 24 hours.
The Significance level alpha is chosen to be ∝ = 0.05
The critical region t ≥ t (0.05, 13) = 1.77
Degrees of freedom is calculated df = υ= n1+n2- 2= 5+10-2= 13
Here the difference between the sample means is x`1- x`2= 35-24= 11
The pooled estimate for the common variance σ² is
Sp² = 1/n1+n2 -2 [ ∑ (x1i - x1`)² + ∑ (x2j - x`2)²]
= 1/13 [ 120²+360²]
Sp = 105.25
The test statistic is
t = (x`1- x` ) /. Sp √1/n1 + 1/n2
t= 11/ 105.25 √1/5+ 1/10
t= 11/57.65
t= 0.1908
The calculated value of t= 0.1908 does not lie in the critical region t= 1.77 Therefore we accept our null hypothesis that fatigue does not significantly increase errors on an attention task at 0.05 significance level
Customary American Units of Weight
1 pound = 16 ounces
1 ton = 2,000 pounds or 32,000 ounces
Convert:
130 ounces = pounds ounces
Answer:
1
Step-by-step explanation:
A beach volleyball court is 9 meters wide and 17 meters long. The rope used for the boundary line costs $4.00 per meter. How much would it cost to buy a new boundary line for the court?
Erin uses a spinner divided into four equal sections to decide which drink she’ll have with her lunch. The sections represent water, milk, lemonade, and tea. If she spins the spinner three days in a row, what is the probability that she drinks lemonade one day, tea one day, and water one day? Complete the steps below to find the sample space and solve the problem. PART A - Create a list of all the possible outcomes for three days of drink selections. Use the abbreviations W, M, T, and L to represent water, milk, tea, and lemonade. PART B - Based on the list you created in part A, how many possible outcomes are there? PART C - What is the probability that Erin drinks lemonade one day, tea one day, and water one day? PART D - What is the probability that Erin drinks water two days and lemonade one day?
Answer:
Part A
W W W M W W T W W L W W
W W M M W M T W M L W M
W W T M W T T W T L W T
W W L M W L T W L L W L
W M W M M W T M W L M W
W M M M M M T M M L M M
W M T M M T T M T L M T
W M L M M L T M L L M L
W T W M T W T T W L T W
W T M M T M T T M L T M
W T T M T T T T T L T T
W T L M T L T T L L T L
W L W M L W T L W L L W
W L M M L M T L M L L M
W L T M L T T L T L L T
W L L M L L T L L L L L
Part B
There are 64 possible outcomes. The sample size is 64.
Part C
To find the probability that Erin drinks lemonade one day, tea one day, and water one day, consider all the cases in which L, T, and W occur one time. Because the order doesn't matter in this scenario, these six outcomes from the list represent the desired event: W T L, T W L, T L W, W L T, L W T, and L T W.
The size of the sample space is 64. So, the probability that Erin drinks lemonade one day, tea one day, and water one day is 3/32.
Part D
To find the probability that Erin drinks water on two days and lemonade one day, we consider all the cases in which two Ws and one L occur. Because the order doesn't matter in this scenario, these three outcomes from the list represent the event: W W L, W L W, and L W W.
The size of the sample space is 64. So, the probability that Erin drinks water two days and lemonade one day is 3/64
Step-by-step explanation:
Three less than two times a number is 55. What is the number?
Answer:26
Step-by-step explanation:
Four students used a stopwatch to see how fast they could run around the perimeter of the playground they recorded their times in the chart below
Answer:
C : Duane
Step-by-step explanation:
Your welcome
Find the amount of wood trim needed to frame a circular window with a diameter of 1.75 ft. Use 3.14 for n.
Answer:
2.40 ft I believe
Step-by-step explanation:
divide diameter by two
put 3.14 time diameter divided by two and square it
some please help asap !!
Answer:
The answer should be 0.66
Ms. Wilson's class is choosing a fiction book to read together. The students voted for their
favorite type of fiction book.
Favorite type of fiction book
Type Frequency
Fantasy
6
Mystery
3
Realistic
7
Historical
2.
Adventure
7
Historical fiction received the fewest votes. What percent of students voted for historical
fiction?
%
Answer:
[tex]\%H = 8\%[/tex]
Step-by-step explanation:
Given
See attachment for table
Required
The percentage of historical
From the table, we have:
[tex]Historical = 2[/tex]
and
[tex]Total = 6+3+7+2+7[/tex]
[tex]Total = 25[/tex]
So, the percentage of historical is:
[tex]\%H = \frac{Historical}{Total} * 100\%[/tex]
This gives:
[tex]\%H = \frac{2}{25} * 100\%[/tex]
[tex]\%H = \frac{200\%}{25}[/tex]
[tex]\%H = 8\%[/tex]
Answer:
8%
Step-by-step explanation:
PLS help ASAP DUE IN 20 MINUTES I CANT FIGURE IT OUT
Answer:
x=8
Step-by-step explanation:
if you multiply 6 by 8 and subtracted by 3 it will equal 45
A researcher is testing a claim that the mean wing span of bald eagles mean wing span is 22ft. He takes a simple random sample of 40 bald eagles and gets a sample mean of 24.6ft and a sample
standard deviation of 3.5ft. Find the test statistic, t=
The County Fair features rides, exhibitions, and games of chance. Luca decides to play Wheel of Letters. To play the game, contestants spin a wheel with 26 equal sections, lettered A through Z. If the pointer lands on any letter in the phrase “COUNTY FAIR,” the contestant wins a prize.
Part B:
Of the first 52 contestants, exactly 12 contestants win the game. How does the actual number of winners compare to the expected number of winners? What needs to happen for the experimental probability to approach the theoretical probability? Explain.
Answer:
woow
Step-by-step explanation:
Answer:
Step-by-step explanation:
cheese
Your friend finds the volume of the rectangular prism. Is your friend correct? Explain your reasoning
Answer:
YES, my friend is correct.
Step-by-step explanation:
Formula for the volume of the rectangular prism = Length*Width*Height
Length = 7 mm
Width = 4 mm
Height = 2 mm
Plug in the values
Volume = 7*4*2
Volume = 28*2
= 56 mm³
Therefore, my friend is correct.
Slove for the value of a
Answer:
a = 11
Step-by-step explanation:
9a + 6 + 75 = 180
9a + 81 = 180
9a = 99
a = 11
Q
angles.
(2x+38)°
+
(x-10
р
R
Please help me solve this
Answer:
x=38
Step-by-step explanation:
First, know that the sum of the angles in a triangle is 180.
Then, add the angles. 2x+38+x+x-10.
Make them equal to 180.
2x+38+x+x-10=180
Simplify.
4x+28=180
Subtract 28 from 180.
4x=152
Divide 4 from 152 to make x alone.
x=38
There you go!
Please mark brainliest!
Which statement is true?
Group of answer choices
An equilateral triangle is never an acute triangle.
An isosceles triangle is sometimes a scalene triangle.
An acute triangle is always an equilateral triangle.
A equilateral triangle is always an isosceles triangle.
Answer:
An equilateral is always an isosceles triangle.
Step-by-step explanation:
The court has two stone hoops. each is 15 feet high on the wall. A player is 6 feet away from a hoop. what's the diagonal distance from his feet to the hoop.
Answer:
17 feet
Step-by-step explanation:
a² + b² = c²
a² + 6² = 15²
a² + 36 = 225
a² = 189
a = 17