Answer:
6 ≤ b.
(6).
Step-by-step explanation:
So, we are given in the question that the amount that Myra wants to say is $500 at the end of her summer vacation and she has saved up to $350. Thus, it remain ($500 - $350 = $150) for completion.
Also, "She can earn $25 cutting a lawn in her neighborhood."
Therefore, the total amount of money she wants to save = a = 500. Then,
Total amount of money, a = 350 + 25b.
500 = 350 + 25b.
=> 500 ≤ 350 + 25b.
Note that the ' =' sign has changed to '≤' sign since she wants that amount(at least). Also, the question specified that she used inequality.
Hence, the amount remaining for it to complete is $150. Therefore;
150 ≤ 25b.
6 ≤ b.
Thus, Myra will have to mow at least 6 lawns
Answer:
6
Step-by-step explanation:
Took the quiz on edge!
At hockey practice., Lars has the puck in front of the net, as shown. He is exactly 8 m away from the middle of the net, which is 2 m wide. Within what angle must Lars fire his shot in order to get it in the net, to nearest degree?
Answer:
14.25°
Step-by-step explanation:
distance from middle of the net = 8 m
width of the net = 2 m
this is a case of a triangle with height 8 m, and base 2 m. We are required to find the angle facing the base.
We can get this angle by splitting the triangle into two right angle triangles with base of 1 m, and then solve for the angle facing the base.
We use the trigonometric function; tan∅ = opp/adj
opp is the side facing the angle = 1 m
adj is the height of the triangle (usually, it is the side besides the opposite side and the longest side; the hypothenus)
adj = 8 m
tan∅ = [tex]\frac{1}{8}[/tex] = 0.125
∅ = [tex]tan^{-1}[/tex] 0.125 = 7.125°
Angle within which Lars must fire his shot = 2 x ∅
= 2 x 7.125° = 14.25°
Which of the following is the solution to 3x - 1>=12
Answer:
The solution to [tex]3x\:-\:1\ge 12[/tex] is [tex]x\ge \frac{13}{3}[/tex].
Step-by-step explanation:
An inequality is a mathematical relationship between two expressions and is represented using one of the following symbols: inequalities involving "<", "≠" or ">" are referred to as "strict inequalities", while inequalities involving "≤" or "≥" are not.
Solving an inequality means finding all of its solutions. A solution of an inequality is a number which when substituted for the variable makes the inequality a true statement.
To find the solution to [tex]3x\:-\:1\ge 12[/tex]
[tex]\mathrm{Add\:}1\mathrm{\:to\:both\:sides}\\\\3x-1+1\ge \:12+1\\\\\mathrm{Simplify}\\\\3x\ge \:13\\\\\mathrm{Divide\:both\:sides\:by\:}3\\\\\frac{3x}{3}\ge \frac{13}{3}\\\\\mathrm{Simplify}\\\\x\ge \frac{13}{3}[/tex]
Find the missing side length. Show all of your work. *
If you roll two fair dice how many different ways can you obtain a different number on each side
Answer:
30
Step-by-step explanation:
You can have any number on the first die, and any number besides the first one on the second. 6*5=30
At a fundraiser, a school group charges $8 for tickets for a "grab bag." You choose one bill at random from a bag that contains 38 $1 bills, 20 $5 bills, 7 $10 bills, 5 $20 bills, and 1 $100 bill. Is it likely that you will win enough to pay for your ticket?
It is that you will win enough to pay for your ticket because the probability of winning enough to pay for your ticket as a simplified fraction is
Answer:
a. It is not likely that a winning ticket will be selected
b. The probability of winning enough to pay for the ticket expressed as a simplified fraction is 13/71
Step-by-step explanation:
To answer this question, there are some important notes to know.
1. The selection is only once
2. To win, you have to select a note which has a greater value than $8
Now, the total number of notes that we have = 38 + 20 + 7 + 5 + 1 = 71
The number of bills present that are greater than $8 are; 7 $10 bills , 5 $20 bills and 1 $100 bill
This makes a total of 7 + 5 + 1 = 13
Thus, the probability of selecting a bill which would pay for the charges is 13/71
Now, the probability of not selecting is 1- probability of selecting = 1-13/71 = 58/71
Since the probability of not selecting is greater than the probability of selecting, it means that it is not likely that a winning ticket will be selected
The Thrill amusement park charges an entry fee of $40 and an additional $5 per ride, x. The Splash water park charges an entry fee of $60 and an additional $3 per ride, x Based on this information, which system of equations could be used to determine the solution where the cost per ride of the two amusement parks, y, is the same?
Answer:
40+5x=y
60+3x=y
Step-by-step explanation:
The first park is 40+5x
The second park is 60+3x
Now set them both equal to y
Four interior angles of a pentagon measure 88°, 118, 132, and 100°. What is the measure of the fifth interior angle?
82
92
102
112
Answer:
fifth angle = 102°
Step-by-step explanation:
A pentagon is a polygon that have 5 sides. A pentagon can be divided into 3 triangles .And the sum of angle in a triangle is 180°. Therefore the sum of interior angle in a pentagon will be 180 × 3 = 540°. The sum of interior angles of a pentagon = 540°.
The general rule for calculating sum of the interior angles of a polygon is
sum of interior angle = (n−2) × 180°
where
n = number of sides
n = 5 since we are dealing with a pentagon.
sum of interior angle of a pentagon = 540°
The fifth angle can be computed when you subtract the sum of the 4 angles from 540°.
fifth angle = 540 - (88 + 118 + 132 + 100)
fifth angle = 540 - 438
fifth angle = 102°
Answer:
its C on edg
Step-by-step explanation:
1. In an AP, the ratio of the 2nd term to the 7th term is 1/3. If the 5th term is
11, what is the 15th term?
Answer:
T15 = 31
Step-by-step explanation:
Its in the picture
I hope it helps :)
Who knows the answer to the picture?
Step-by-step explanation:
The way i like to remember it is that the exponent inside of the radical will be the numerator of the fraction and the index of the radical will be the denominator so the answer is 2^(-5/3).
In microbiology, colony-forming units (CFUs) are used to measure the number of microorganisms present in a sample. To determine the number of CFUs, the sample is prepared, spread uniformly on an agar plate, and then incubated at some suitable temperature. Suppose that the number of CFUs that appear after incubation follows a Poisson distribution with μ = 15.
(a) If the area of the agar plate is 75 square centimeters (cm2), what is the probability of observing fewer than 4 CFUs in a 25 cm2 area of the plate? (Round your answer to four decimal places.)
(b) If you were to count the total number of CFUs in 5 plates, what is the probability you would observe more than 95 CFUs? Use the Poisson distribution to obtain this probability. (Round your answer to four decimal places.)
(c) Repeat the probability calculation in part (b) but now use the normal approximation. (Round your answer to four decimal )
(d) Find the difference between this value and your answer in part (b). (Round your answer to four decimal places.)
Answer:
(a) 0.2650
(b) 0.0111
(c) 0.0105
(d) 0.0006
Step-by-step explanation:
Given that:
In microbiology, colony-forming units (CFUs) are used to measure the number of microorganisms present in a sample.
Suppose that the number of CFUs that appear after incubation follows a Poisson distribution with mean μ = 15. &;
If the area of the agar plate is 75cm²;
what is the probability of observing fewer than 4 CFUs in a 25 cm² area of the plate.
We can determine the mean number of CFUs that appear on a 25cm² area of the plate as follows;
75cm²/25cm² = 3
Since;
mean μ = 15
mean number of CFUs that appear on a 25cm² = 15/3 = 5 CFUs
Thus ; the probability of observing fewer than 4 CFUs in a 25 cm² area of the plate is estimated as:
= P(X < 4)
Using the EXCEL FUNCTION ( = poisson.dist(3, 5, TRUE) )
we have ;
P(X < 4) = 0.2650
b) If you were to count the total number of CFUs in 5 plates, what is the probability you would observe more than 95 CFUs?
Given that the total number of CFUs = 5 plates; then the mean number of CFUs in 5 plates = 15×5 = 75 CFUs
The probability is therefore = P( X > 95 )
= 1 - P(X ≤ 95)
= 1 - poisson.dist(95,75,TRUE) ( by using the excel function)
= 0.0111
c) Repeat the probability calculation in part (b) but now use the normal approximation.
Let assume that the mean and the variance of the poisson distribution are equal
Then;
[tex]X \sim N (\mu = 75 , \sigma^2 = 75)[/tex]
We are to repeated the probability calculation in part (b) from above;
So:
P( X > 95 )
use the normal approximation
From standard normal variable table:
P(Z > 2.3094)
Using normal table
P(Z > 2.3094) = 0.0105
(d) Find the difference between this value and your answer in part (b).
So;
the difference between the value in part c and part b is;
= 0.0111 - 0.0105
[tex]= 6*10^{-4}[/tex]
= 0.0006 to four decimal places
if 36-k=4+k what is the value of K?
36 - k = 4 + k
36 - 4 = k + k
32 = 2k
32/2 = k
16 = k
Steps:
Step 1: Simplify both sides of the equation
36−k=4+k
36+−k=4+k
−k+36=k+4
Step 2: Subtract k from both sides
−k+36−k=k+4−k
−2k+36=4
Step 3: Subtract 36 from both sides
−2k+36−36=4−36
−2k=−32
Step 4: Divide both sides by -2
−2k/−2 = −32/−2
Description:
Since we are trying to find the value of K, we need to simplify both sides of the equation. After that your answer will come as −k+36=k+4. Now the second step is to subtract k from both sides, your equation will come as −2k+36=4. Thirdly we need to subtract 36 from both sides, your equation will come as −2k=−32. Now you need to divide both sides by -2. After you do that, you will get your answer which is k=16.
Answer: k=16
Please mark brainliest
Hope this helps.
What’s the correct answer for this?
Answer:
what is this it is not understand able
Answer:
11
Step-by-step explanation:
<TKF = 90° ( BECAUSE OF THE BISECTOR)
BUT
<TKF = 5(x+7)
So
5(x+7) = 90
5x+35 = 90
5x = 90-35
5x = 55
Dividing by 5(both sides)
x = 11
What is the solution to the equation below?
Answer:
A
Step-by-step explanation:
2/3x=1-5
2/3x=-4
x=-4/2/3
x=-6
The volume of a cube is 343 cubic feet. What is the side length of the cube
A. 12 feet
B. 23 feet
C. 7 feet
D. 2 feet
Steps:
Shape: Cube
Solved for side length of the cube
Volume: 343 cubic feet
Formula: a=V⅓
Description:
Using the formula for the volume of the cube a=V⅓. We are going to calculate the side length of the cube. Your answer will be 7 feet. Meaning the correct answer for this question is C.
Answer: a≈7ft
Please mark brainliest
Hope this helps.
A map has a scale of 3cm 7km if two cities was 8 cm on the nearest tenth of a kilometer
Answer:
18.7 km
Step-by-step explanation:
3 cm >>> 7 km
1 cm >>> 7/3 km
8 cm >>> 8*7/3 km= 18.7 km
Answer:
18.7
Step-by-step explanation:
A company makes two types of biscuits: Jumbo and Regular. The oven can cook at most 400 biscuits per day. Each jumbo biscuit requires 2 oz of flour, each regular biscuit requires 1 oz of flour, and there is 600 oz of flour available. The income from each jumbo biscuit is $0.08 and from each regular biscuit is $0.11. How many of each size biscuit should be made to maximize income? What is the maximum income?
Answer:
$ 44
Step-by-step explanation:
If we analyze the statement well, we can observe something very crucial to solve it, the jumbo biscuits require 2 oz of flour and give a profit of $ 0.08, the Regular one that only requires 1 oz of flour leaves a profit of $ 0.11, which means that requiring a smaller quantity of flour leaves a greater profit, so in terms of profit it is not profitable to make Jumbo, only Regular.
Therefore, since you can make 400 biscuits, they would all be regular since there are 600 oz of flour available, it is enough to make 400, therefore the maximum profit would be:
$ 0.11 * 400 = 44
The maximum possible profit is $ 44
Each side of a square piece of confetti is 12 millimeters long. What is the piece of confetti's perimeter?
Answer:
P=48 millimeters
Step-by-step explanation:
p=4l
p=4 x 12
p=48 mm
A 6lb weight is attached to a spring suspended from a ceiling. The weight stretches the spring 4 inches. The external force is f(t)=27sin(4t)-3cos(4t). The medium offers a resistance of 3dy/dt (ft/sec). Find the equation of the motion.
Answer:
displacement x = - 0.046sin4t +0.006cos4t
Step-by-step explanation:
The model of the equation of motion is a forced motion equation and to determine the displacement of the weight as a function of time; we have:
the weight balances of the elastic force in the spring to be expressed by the relation:
mg = kx
where;
x=4 in (i.e 1/3 ft )
mass m = 6lb
let make k the subject; then:
k = mg/x = 6×32/(1/3) = 576
assuming x to be the displacement form equilibrium;
Then;
[tex]F = 27sin 4t-3cos4t +k(x+1/3) - mg -3v[/tex]
(since F(t)=27sin 4t-3cos4t somehow faces downwards, mg=downwards and k(x+1/3)= upwards and medium resistance 3v = upwards)
SO;
[tex]d2x/dt2 = 27sin 4t-3cos4t +kx - 3dx/dt[/tex]
[tex]d2x/dt2 +3dx/dt - 576x = 27sin 4t-3cos4t[/tex]
Assuming : [tex]x = asin4t + bcos4t[/tex]
[tex]dx/dt = 4acos4t - 4bsin4t[/tex]
[tex]d2x/dt2 = -16asin4t - 14bcos4t[/tex]
replacing these values in the above equation
[tex]= -16asin4t - 14bcos4t + 12acos4t - 12bsin4t -576asin4t-576bcos4t = 27sin 4t-3cos4t[/tex]
[tex]= sin4t (-592a-12b) + cos4t(12a -590b) = 27sin 4t-3cos4t[/tex]
equating sin and cos terms
a = - 0.046 ; b = 0.006
displacement x = - 0.046sin4t +0.006cos4t
Find the value of a in the equation below
2sin(1÷4a+20)=√3
Step-by-step explanation:
[tex]sin(1 \div 4a + 20) = \sqrt{3} \div 2 \\ sin(1 \div 4a + 20) =sin 60[/tex]
1÷4a+20=60
1÷4a=4
a=1/160
How do I write the formula?
Answer:
1/5x = h(x)
Step-by-step explanation:
6x+y = 4x+ 11y
Subtract y from each side
6x+y -y = 4x+ 11y-y
6x = 4x+10y
Subtract 4x from each side
6x-4x = 4x+10y-4x
2x = 10y
Divide each side by 10
2x/10 = 10y/10
1/5x = y
1/5x = h(x)
can someone help me?
Answer: 26
Step-by-step explanation:
32-6 = 26
If f(x)= 5x + 40, what is f(x) when x = -5?
Answer:
f(x) = 15
Step-by-step explanation:
"If f(x)= 5x + 40, what is f(x) when x = -5?"
Substitute x for -5:
f(x) = 5x + 40
f(x) = 5(-5) + 40
f(x) = -25 + 40
f(x) = 15
Select the correct answer.
The numbers of pages in the books in a library follow a normal distribution. If the mean number of pages is 180 and the standard deviation is 30
pages, what can you conclude?
What’s the correct answer for this?
Answer:
B:
Step-by-step explanation:
IN THE ATTACHED FILE
Round 4/7 to the nearest tenth.
Answer:
0.6
Step-by-step explanation:
4/7 can be considered a suspended division problem. To find the answer, 4 must be divided by 7. This yields the result 0.57142, which can be rounded to 0.6.
Find the distance between the points (6,-4) and (-3,-4) .
The right answer is 9 units.
please see the attached picture for full solution
Hope it helps
Good luck on your assignment:)
A rectangular swimming pool is 17 meters long, 13 1/2 meters wide, and 2 1/2 meters deep. What is its volume?
Answer: 573.75 meters^3
Step-by-step explanation:
Volume = Length x width x height
Volume = 17 x 13.5 x 2.5
Brian is finishing a meal at his favorite restaurant. The check shows that the cost of the food is $42. He adds a 15% tip to the amount on the check. What is the total amount Brian paid? Write your answer up to two decimal places
Answer:
48.30
Step-by-step explanation:
First determine the tip
42 *15%
42 *.15 =6.30
Add this to the amount of the tip
42 + 6.30 =48.30
The total amount is 48.30
Answer:
Step-by-step explanation:
$48.30
On your second day of measuring living trees you find a tree with a diameter of 24 inches! Should you predict the volume of this tree? Why or why not? Group of answer choices Yes! Extrapolation is fine. Don't worry about it. No! That would be extrapolation, and extrapolation is bad. (Notice in the plot that we only collected date for diameters between 8 and 22 inches).
Answer:
Yes! Extrapolation is fine. Don't worry about it.
Step-by-step explanation:
Because the data we have ranges from 8 to 22 inches, an extrapolation should be made, which is the process of estimating beyond the original observation interval, the value of the variable based on its relationship to another variable. It is similar to interpolation, which produces estimates between known observations, unlike this, extrapolation is subject to greater uncertainty and a higher risk of producing insignificant results, but because the value is 24 inches, it is not too far away. of the upper limit which is 22, the error should not be very big, therefore the answer is: Yes! Extrapolation is fine. Don't worry about it.
While traveling to Europe, Phelan exchanged 250 US dollars for euros. He spent 150 euros on his trip. After returning to the
United States he converts his money back to US dollars. How much of the original 250 US dollars does Phelan now have?
Round to the nearest cent.
1 European euro = 1.3687 US dollars
44.70 US dollars
73.06 US dollars
136.87 US dollars
140.41 US dollars
Answer:
44.70 USD
Step-by-step explanation:
250÷1.3687
=182.655074158
182.655074158-150
=32.655074158
32.655074158×1.3687
=44.6950000001
The 44.70 US dollars Phelan now has if Phelan exchanged 250 US dollars for euros option (A) is correct.
What is unit conversion?It is defined as the conversion from one quantity unit to another quantity unit followed by the process of division, and multiplication by a conversion factor.
It is given that:
While traveling to Europe, Phelan exchanged 250 US dollars for euros. He spent 150 euros on his trip.
After returning to the United States he converts his money back to US dollars. H
Let x be the total original 250 US dollars Phelan now have:
The value of x can be found as follows:
x = (250/1.3687 - 150)x1.3687
After simplification:
x = 44.69 ≈ 44.70 US dollars
Thus, the 44.70 US dollars Phelan now has if Phelan exchanged 250 US dollars for euros option (A) is correct.
Learn more about the unit conversion here:
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