A wildlife biologist examines frogs for a genetic trait that is linked to sensitivity to an industrial toxin in the environment. Suppose exposure to the toxin tends to increase the prevalence of the genetic trait in the population of frogs. Previous research has established that this trait is usually found in about 2/10 of all frogs in a `clean' environment. Suppose a location is suspected of contamination. A sample of 10 frogs are collected, then examined for the genetic trait. We are asked to interpret the data collected and determine whether there is evidence suggesting contamination. What is the fewest number of frogs in the sample with the trait (number of successes) for which we can conclude the area is contaminated?
Answer:
3
Step-by-step explanation:
Usually, when there is contamination the smallest amount can have huge ramifications in the data collected. In this scenario, if in a "clean" environment the trait is found in 2/10 frogs then anything above this number should be considered contaminated. This is because data above this ratio would be considered uncommon or rare and this unique occurrence can be most likely tied to the only new factor which would be the contamination. Therefore the minimum number of frogs with this trait in the sample would be 3.
Estimate 65 to the nesrst tenth then locate 65 on a number line
Answer:
70
Step-by-step explanation:
ok so first of all you have to see if the next number is 5 you can borrow and then draw on number line between 65 and 70 that there is your answer 70
xanthe ran one quarter of a kilometer. She took a 5 minute rets, then ran another ten eighths of a kilometer. How many kilometers did she run in total.
Answer:
1 1/2 kilometers
Step-by-step explanation:
She ran 1/4 of a kilometer and then ran another 10/8 kilometer.
The 5 minute rest is to throw people off, so ignore it.
10/8 can simplify to 5/4 kilometers, so you can add that to the first quarter of a kilometer she already traveled.
5/4 plus 1/4 equals 6/4.
6/4 can be simplified to 3/2 which is equal to one and one half.
1 1/2
Hope this helps!
(3g2−g)+(3g2−8g+4) find the sum
Answer: 6g2−9g+4
Step-by-step explanation: 3g2+−g+3g2+−8g+4
=(3g2+3g2)+(−g+−8g)+(4)
=6g2+−9g+4
The steps below show the work of a student used to calculate the number of yards in 804.5 meters.
(1 mile = 1,609 meters)
(1 mile = 1,760 yards)
Step 1: 1,609 meters is being multiplied by conversion factor 1 mile over 804.5 meters equals 2 miles
Step 2: 2 miles is being multiplied by conversion factor 1760 yards over 1 mile equals 3,520 yards
Step 3: 3,520 yards
(1 mile = 1,609 meters)
(1 mile = 1,760 yards)
How can the error in the student's work be corrected? NEEDS SUBMITTING TODAY PLZ HELP ASAP
Answer:
see below
Step-by-step explanation:
804.5 meters. to yards
Step 1:
(1 mile = 1,609 meters)
(1 mile = 1,760 yards)
1,609 meters is being multiplied by conversion factor 1 mile over 804.5 meters equals 2 miles
1,609 meter x 1 mile = 2 miles
804.5 meters
Step 2:
(1 mile = 1,609 meters)
(1 mile = 1,760 yards)
2 miles is being multiplied by conversion factor 1760 yards over 1 mile equals 3,520 yards
2 miles x 1,760 yards = 3,520 yards
1 mile
no need of step 3. the conversion below should be on step 2.
to convert miles into yards.
(1 mile = 1,609 meters)
(1 mile = 1,760 yards)
Answer:
how do ppl do this lol...
Step-by-step explanation:
-2 = 3у – 18 — 5y
Solve for y
What is the most simplified expression for 4 c squared d + 3 d c minus 2 (d c squared + c d) + 6 c squared d squared?
A. 2 c squared d + d c + 6 c squared d squared
B. 2 c squared d + 5 d c + 6 c squared d squared
C. 3 c squared d + 3 d c + 6 c squared d squared + c d
D. 3 c squared d + 2 d c + 6 c squared d squared minus 2 cd
Answer:
A
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
Can you help me fill the graph please?
Answer:
8=6 2/5
50=40
100=80
Step-by-step explanation:
8x4/5=6 2/5
4x10=40 so 5x10=50 (I got this from the second row)
5x20=100 so 4x20=80 (also from second row)
[tex]simplify:\sqrt6r^{6}[/tex]
5. If mZWXZ = (5x + 3)", mZZXY = (8x - 4)", and
ZWXY is a right angle, find each measure.
W
Х
z
Y
mZWXZ =
mZZXY =
Answer:
m∠WXZ = 38°
m∠ZXY = 52°
Step-by-step explanation:
In the question
∠WXZ and ∠ZXY are two adjacent angles and formed together ∠WXYThat means the measure of ∠WXY equal the sum of measures of ∠WXZ and ∠ZXY∵ ∠WXY is a right angle
→ That means its measure is 90°
∴ m∠WXY = 90°
∵ m∠WXZ + m∠ZXY = m∠WXY
∵ m∠WXZ = (5x + 3)°
∵ m∠ZXY = (8x - 4)°
∵ m∠WXY = 90°
→ Substitute their values in the equation above
∴ (5x + 3) + (8x - 4) = 90
→ Add the like terms in the left side
∵ (5x + 8x) + (3 - 4) = 90
∴ 13x + (-1) = 90
∴ 13x - 1 = 90
→ Add 1 to both sides
∴ 13x - 1 + 1 = 90 + 1
∴ 13x = 91
→ Divide both sides by 13
∴ [tex]\frac{13x}{13}=\frac{91}{13}[/tex]
∴ x = 7
→ To find the measure of each angle substitute x by 7 in their measures
∵ m∠WXZ = 5x + 3
∴ m∠WXZ = 5(7) + 3
∴ m∠WXZ = 35 + 3
∴ m∠WXZ = 38°
∵ m∠ZXY = 8x - 4
∴ m∠ZXY = 8(7) - 4
∴ m∠ZXY = 56 - 4
∴ m∠ZXY = 52°
You’re starting a lemonade stand in front of your house. You’ve already obtained a permit from City Hall in order to do so. For your stand, your neighbor agrees to let you use his nice large table for $5 per day (this cost is known as fixed cost because it will not change whether you sell one cup or 100 cups of lemonade). Your parents give you full access to the fridge’s filtered water but require you to take care of the cost of the other ingredients and expenses that go into making your final product. After a day or two of starting your business, you determine that the cost of paper cups, sugar and fresh lemon juice is $0.32 per cup (this cost is known as variable cost because it changes according to the number of cups you sell).
Answer:
Ok. Interesting.
Step-by-step explanation:
I think you forgot the question.
Brainliest appreciated!
Can you help me solve this
Step-by-step explanation:
What is the solution to the system of equations?
6x – 9y = 16
2x – 3y = 7
A) (5, 1)
B) (2, -1)
C) (3,
2
9
)
D) no solution
Answer:
no solution
Step-by-step explanation:
[1] 6x - 9y = 16
[2] 2x - 3y = 7
// Solve equation [2] for the variable x
[2] 2x = 3y + 7
[2] x = 3y/2 + 7/2
// Plug this in for variable x in equation [1]
[1] 6•(3y/2+7/2) - 9y = 16
[1] 0 = -5 => NO solution
No solution
Solve the absolute value equation 4 − |x| = 1
Answer :SOLVING EQUATIONS CONTAINING ABSOLUTE VALUE(S)
Step 1: Isolate the absolute value expression.
Step2: Set the quantity inside the absolute value notation equal to + and - the quantity on the other side of the equation.
Step 3: Solve for the unknown in both equations.
Step 4: Check your answer analytically or graphically.
Step-by-step explanation:
Answer:
x can equal 5 or -5 since absolute value changes everything into a positive number.
Step-by-step explanation:
if the school is havinng a pizza party they have 6,847 each kid will have 3 slices of the pizza how many slices of pizza the school need to order so each kid can have 3 slices help pls i got class at 8:30
34 × (-38) + (-38) × 66 find using suitable properties
Answer:
Step-by-step explanation:
-1292 + (-2508)
= - 3800
Consider the enlargement of the parallelogram. A smaller parallelogram with side lengths of one-third foot and x feet. A larger parallelogram with side lengths 8 feet and 6 feet. Set up a proportion to solve for the missing measure of the original parallelogram. Which side of the original parallelogram corresponds to the 6 ft side of the enlarged parallelogram? What is the second step in solving the proportion? What is the value of the missing measure?
Answer:
Enlargement rate is 24
Step-by-step explanation:
Divide 8 by one third to get the enlargement rate. I hope this helps:)
Answer:
Which side of the original parallelogram corresponds to the 6 ft side of the enlarged parallelogram? ITS IS x ft
What is the second step in solving the proportion? IT IS cross multiply
What is the value of the missing measure? IT IS 1/4
Step-by-step explanation:
i got this right
How to Solve this??! 6x-2=x+13
Answer:
x=3
Step-by-step explanation:
We are given the equation, 6x-2=x+13.
1. 6x=x+15
2. 5x=15
3. x=3
Hope this helps! Good luck on your assignment!
Answer: x=3
Step-by-step explanation:
6x-2=x+13
First get both x’s on one side
We are going to subtract x from both sides
5x-2=13
Now we want to get 5x alone
We are going to add 2 to both sides
5x=15
Now we want to get x alone
We are going to divide by 5
x=3
Can someone please help, ty!!
Answer:
(-1,0)
Step-by-step explanation:
Answer:
(-1, 0)
Step-by-step explanation:
The x-axis is the horizontal line in bold. It's basically asking what points in the form (x,y) are touching said line.
So we use our eyes and determine that the line intercepts the x-axis at -1 because that vertical bold line is the y-axis and it determines that the left side of the graph is negative and the right side is positive.
Since it is an x-intercpet, when the y-value is 0 the y-term in
(x,y) is 0
and the x-term would be the -1
The length of a rectangle is 4 less than three times the width. The area of the rectangle is given by the formula A = l × w. Which of the following equations could be used to find the area?
Question 19 options:
A)
A = 4w2 – 3w
B)
A = w2 – 4w
C)
A = 3w2 – 4w
D)
A = 3w2 – w
Answer:
C) A = [tex]3w^{2} - 4w[/tex]
Step-by-step explanation:
First, read through what the question is asking.
Now, read it again, but slowly and take in everything it is saying (Don't read into it too slowly, or else you will over-complicate the problem and get frustrated - told from experience :) )
Alright, 4 less than 3 times the width. So, lets rearrange this and give width a variable (w).
So, the length is equal to:
l = 3w - 4
and the width is equal to:
w = w
The area of a rectangle is A = l * w
Let's plug in the values.
A = (3w - 4) * w
Now, simplify:
A = [tex]3w^{2} - 4w[/tex]
A = [tex]3w^{2} - 4w[/tex] is your final answer.
I hope this helps!
plz help me with this problem I'm pretty confused.
Answer:
m∠1 = 40°
Step-by-step explanation:
Measures of angle 1 and angle 2 are examples alternate exterior angles. Alternate exterior angles are basically a pair of angles that are outside the parallel lines and are on opposite sides of the transversal. In other words, alternate exterior angles are congruent to each other.
Since we are given that measure of angle 2 is 40°. Measure of angle 1 has to be 40° because both angle 1 and angle 2 are alternate exterior angles.
What is the largest three-digit number divisible by 24 and 54?
Answer:
The largest three-digit number divisible by 24 and 54 is:
864Step-by-step explanation:
To identify the largest number what I did was dividing 999 (the largest whole three-digit number of all) in the first number given (24):
[tex]\frac{999}{24}=41.625[/tex]With this number, you know that you must multiply 24 by a number like 41 or less until you find a number that can be divisible by 54 and obtain a whole number, so:
24*41= 984/54= 18.22 (how the number obtained is not a whole number, this is not the correct).24*40= 960/54= 17.77 (this is not).24*39= 936/54= 17.33 (this is not).24*38= 912/54= 16.88 (this is not).24*37=888/54= 16.44 (this is not).24*36= 864/54= 16 (This is the correct).Now, you have identified that the number 864, you can prove it by dividing this in 24 and 54:
[tex]\frac{864}{24}=36[/tex][tex]\frac{864}{54}= 16[/tex]
What’s the domain of (2x-9)/(3-x)
Answer:
The domain in interval notation would be (−∞,3)∪(3,∞) In set builder notation it would be {x|x≠3}
A rectangle has a side length of 2 5/8 feet and 3 1/5 feet. Find the perimeter of the rectangle.
Answer: 2
Step-by-step explanation: ( l + w )
3. A savings account is started with an initial deposit of $3000. The account earns 9% interest compounded annually.
(a) Write an equation to represent the amount of money in the account as a function of time in years.
(b) Find the amount of time it takes for the account balance to reach 1 million. Show your work.
Note: 1 million is a 1 with 6 zeros. Note2: you must use log functions to solve.
Answer:
See below
Step-by-step explanation:
GivenDeposit = $3000Interest rate = 9% compoundedNumber of years = tNumber of compounds = 1 per year Solution(a) the equation
f(t) = 3000*(1.09)^t(b) If f(t) = 1000000
1000000 = 3000*(1.09)^t(1.09)^t = 1000000/3000(1.09)^t = 333.3333log (1.09)^t = log 333.3333t log 1.09 = 2.52290.03742t = 2.5229t = 2.5229/0.03742t = 67.4 ≈ 68 yearsWhat is (-i)^6 ?
A. 1
B.-1
C. -i
D. i
Answer:
I think it's D I'm probably wrong
Answer:
B. -1
Step-by-step explanation:
Michelle has some dimes and quarters. If she has 22 coins worth a total of $2.80, how many of each type of coin does she have?
Answer:
she has 4 quarters and 18 dimes
Answer:
16 dimes and 8 quarters
Step-by-step explanation:
.25x8=2
.05x16=.8
$2+$.8=$2.80
From house to his job as a janitor, you can walk in a straight line. In the afternoon he has to stop twice on his way home. His first stop is at the bodega to get something to eat. The bodega is exactly halfway between his house and the school. The second stop will be at OWL Barbershop for his haircut. The OWL Barbershop location partitions the way from Wilfred’s house and job in the ratio 3:1. The coordinates of his house are H (-3, -4) and his job coordinates are J(5, 0). Please use B to represent the Bodega and O to represent OWL Barbershop.
Answer:
The coordinates of Bodega is B(1,-2)
The coordinates of OWL Barbershop is O(3,-1)
Step-by-step explanation:
Coordinates of House H = (-3,-4)
Coordinates of Job J= (5,0)
His first stop is at the bodega to get something to eat. The bodega is exactly halfway between his house and the school.
Let B to represent the Bodega
Now to find coordinates of Bodega we will use use mid point formula since bodega is exactly halfway between his house and the school.
[tex]x=\frac{x_1+x_2}{2} , y = \frac{y_1+y_2}{2}\\(x_1,y_1)=(-3,-4)\\(x_2,y_2)=(5,0)\\x=\frac{-3+5}{2} , y = \frac{-4+0}{2}\\x=1, y = -2[/tex]
So, The coordinates of Bodega is B(1,-2)
Now we are given that The OWL Barbershop location partitions the way from Wilfred’s house and job in the ratio 3:1.
Le O to represent OWL Barbershop.
We will use section formula
[tex]x=\frac{mx_2+nx_1}{m+n} , y =\frac{my_2+ny_1}{m+n}\\(x_1,y_1)=(-3,-4)\\(x_2,y_2)=(5,0)\\m:n=3:1\\x=\frac{3(5)+1(-3)}{3+1} , y =\frac{3(0)+1(-4)}{3+1}\\x=3,y=-1[/tex]
So, The coordinates of OWL Barbershop is O(3,-1)
Compare the annual salary of a police/detective and an EMT (emergency medical technician). Based on the annual salaries, how much more will a police detective earn than an EMT over a thirty year period?
Answer:
its B) $538,080.00
On Monday, Allison’s bank account showed $0. She made 5 transactions that were all the same amount between Monday and Friday. If her bank account showed -$120 on Friday, what was the amount of each transaction?
Answer: $24
Step-by-step explanation: if you divide $120 by 5 then you get $24