Answer:
w = 4 and l = 9 or
l = 4 and w = 9
Step-by-step explanation:
let l = length
let w = width
2l + 2w = 26
lw = 36
l = 36/w
2(36/w) + 2w = 26
72/w + 2w = 26
(72 + 2w²) ÷ w = 26
cross-multiply:
2w² + 72 = 26w
2w² - 26w + 72 = 0
factor:
2(w² - 13w + 36) = 0
2(w - 4)(w - 9) = 0
w = 4 and l = 9 or vice versa
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%.
Question 1 of 9 Write the slope-intercept inequality for the graph below. If necessary, use does anyone know the right answer i keep getting it wrong
Answer:
y >= 4/3 x + 4
Step-by-step explanation:
First, we find the equation of the line.
y = mx + b
The y-intercept is 4, so b = 4,and we have
y = mx + 4
Now we find the slope using 2 points.
slope = m = (0 - 4)/(-3 - 0) = -4/(-3) = 4/3
The equation of the line is
y = 4/3 x + 4
The line is solid, so we will use >= or <=, but not > or <.
The shading is "above" the line, so the correct sign is >=.
Answer: y >= 4/3 x + 4
help plsss fast plsplspsls
help with problem please..
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
Please help me. Image below.
Answer:
10 cubes
Step-by-step explanation:
2.5 × 1 × 2 = 5 cm³
5 ÷ 0.5
10 cubes
Answer:
10 cubes
Step-by-step explanation:
1 × 2 × 2.5 = 5cm^3
5 ×× .5 = 10
so 10 cubes would fit
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.
What number must you add to the polynomial below to complete the square?
x2 + 15x
Answer:
The number [tex]\frac{225}{4}[/tex] is added to the polynomial below to complete the square.
Step-by-step explanation:
Perfect square binomial:
A perfect square binomial is given by:
[tex](a + b)^2 = a^2 + 2ab + b^2[/tex]
In this question:
We have that:
[tex]a^2 + 2ab + b^2 = x^2 + 15x + ?[/tex]
Since [tex]a = x[/tex], we have that:
[tex]2ab = 15x[/tex]
[tex]2b = 15[/tex]
[tex]b = \frac{15}{2}[/tex]
Completing the square:
The term that completes the square is [tex]b^2[/tex]. So
[tex]b^2 = (\frac{15}{2})^2 = \frac{225}{4}[/tex]
The number [tex]\frac{225}{4}[/tex] is added to the polynomial below to complete the square.
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.
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 :)
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=
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:
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:
What is the sum? Complete the equation.
8+(-18) =
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:
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:
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
What are the missing vertex?
Answer:
1,5 I think
Step-by-step explanation:
hope this helps
Answer:
im not sure but i think its 1,5
What is the slope of the two points (-20,-4), (-12,-19)
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
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:
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:
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!
PLEASE HELP
On the graph below, Point A is located at the intersection of angle θ and the unit circle.
What are the exact coordinates of point A?
Use the on-screen keyboard to type the answer in the box below.
https://imgur.com/a/UwbnsCV
Answer:
1/2,
Step-by-step explanation: Please find the attached image of unit circle.
We have been given that the measure of angle t is 60 degrees. We are asked to find the x-coordinate of the point where the terminal side intersects the unit circle.
We know that x-coordinate on unit circle represents cosine and y-coordinate represents sine of a given angle.
We can see from our attachment that x-coordinate of the point at angle 60 degrees is , therefore, x-coordinate of the angle of 60 degrees, where the terminal side intersects the unit circle is .
some please help asap !!
Answer:
The answer should be 0.66
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
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
Can anyone PLEASE help me with this!?
Slove for the value of a
Answer:
a = 11
Step-by-step explanation:
9a + 6 + 75 = 180
9a + 81 = 180
9a = 99
a = 11
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)