Answer: 125
Step-by-step explanation:
25% of 100 = 25
25 + 100
125
A team of biologists captured and tagged 65 deer in a forest. Two weeks later, the
biologists captured a sample of 30 deer from the same forest and found that 5 of
them were tagged. Which proportion could be used to estimate the number of deer in
the forest?
Answer:
1/6x= 65
Step-by-step explanation:
so we can assume that 5/10= 1/6 of the deer were tagged
lets call the total number of dear x
so 1/6x= 65
x= 380
The proportion that can be used to estimate the number of deer in the forest is 5/30 = 65/390
To estimate the number of deer in the forest, we can set up a proportion using the tagged deer in the sample as a representative of the entire population.
Let's denote the number of deer in the forest as 'x'.
We know that 65 deer were tagged out of the total population. In the sample of 30 deer, 5 were tagged.
Therefore, we can set up the following proportion:
Tagged deer in sample / Total deer in sample = Tagged deer in population / Total deer in population
5 / 30 = 65 / x
Now we can cross-multiply to solve for x:
5x = 65 * 30
5x = 1950
Dividing both sides by 5:
x = 1950 / 5
x = 390
Therefore, the proportion that can be used to estimate the number of deer in the forest is 5/30 = 65/390
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A store manager buys binoculars for $45 each. He marks up the cost by 40% to get the store price. Then the store has a sale and the store price is reduced by 10%. What is the sale price of the binoculars?
Answer:
$56.70
Step-by-step explanation:
The cost plus markup is found by multiplying $45 by 1.40: $63.
With the 10% price reduction, the sale price is 0.90($63) = $56.70.
Regarding 1.40: the '1' results in the full price to the manager plus the '0.40' markup.
Angle A and B are supplementary. If m∠A = 143°, find m∠B.
What is the least common multiple of the two denominators
6/8 , 4/32
Choose the graph of the linear equation 24x + 64y = 384!
?
pls answer fast
Answer: A the first one
Solve the proportion. 2x/5 = 9/15
x = 3/2
Getting x on one side of the equation:
(2/5)x = 9/15
x = (9/15)(5/2)
x = 9/6
x = 3/2
A triangle has two equal sides.
a)
What is the special name for this type of triangle?
I
Answer:
isosceles triangle
Step-by-step explanation:
this is confusing, i need help
Answer:
Step-by-step explanation:
2. SV ║TU
3. SV ≅TU
7. corresponding sides of congruent Δ are congruent
8. quadrilaterals that have one set of opposite sides ║ and ≅ are parallelograms
PLEASE HELP ASAP!!!!! i will give brainliest
Answer:
Step-by-step explanation:
you are pretty much just factoring throughout.you can also plug in numbersor use the quadratic equationI'll be using the quadratic equation
Help! Plz tap on photo I will give u 10 points
Hannah went shopping for a new phone. The listed price of the phone was $48, but
the price with tax came to $50.40. Find the percent sales tax.
Answer:
5%
Step-by-step explanation:
50.40 - 48 = 2.4.
The sales total sales tax was $2.40.
2.4 is 5% of the original $48 that was the listed price of the phone.
Proportions in Similar Triangles find the value of x
Answer:
x=6
Step-by-step explanation:
Find the measure of angle ABD.
Answer:
ABD=23
Step-by-step explanation:
9x-22=6x-7
3x= 15
x=5 but wait thats only what X is so
9(5)-22
45-22
ABD=23
there are 18 black socks and 12 Navy socks in your drawer the room is dark and you cannot turn on the light what is the least number of socks that you have to take out of the drawer to be certain that you have a pair of the same color
Answer:
3/5
Step-by-step explanation:
To have the best chance of pulling a pair with the same color you should try to get a pair of black socks. There is a 3/5 chance of pulling a black sock so this means for every 5 socks you pull you get 3 black socks or 2 navy socks. Either way you will get a pair of socks with the same color. (Double check to make sure I'm correct)
The least number of socks that you have to take out of the drawer to be certain that you have a pair of the same color is 5 and the color is black and this can be determined by using the given data.
Given :
There are 18 black socks and 12 Navy socks in your drawer the room is dark and you cannot turn on the light.
The following steps can be used in order to determine the least number of socks that you have to take out of the drawer:
Step 1 - According to the given data, the total number of black socks is 18 and the total number of Navy socks is 12.
Step 2 - The probability that the socks come out is black socks is given below:
[tex]\rm P_b = \dfrac{18}{12+18}[/tex]
[tex]\rm P_b = \dfrac{18}{30}=\dfrac{3}{5}[/tex]
Step 3 - The probability that the socks come out is navy socks is given below:
[tex]\rm P_n = \dfrac{12}{12+18}[/tex]
[tex]\rm P_n=\dfrac{12}{30}=\dfrac{2}{5}[/tex]
Step 4 - Compare both the probability.
[tex]\rm P_b>P_n[/tex]
So, the least number of socks that you have to take out of the drawer to be certain that you have a pair of the same color is 5 and the color is black.
For more information, refer to the link given below:
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Hunter cut his pizza into 10 slices.he ate 4 slices of the pizza.what fraction is equivalent to the amount of pizza he ate
Answer:
4/10=2/5
Step-by-step explanation:
because
Cooper measured the lengths of 10 buttons to the nearest centimeter.The lengths of the buttons were 4,6,4,3,5,6,5,4,3, and 6 centimeters
5t + 17 = 4( t +3 )
1/2x + 1/3x =10
1/4x + 2/5x = 39
please can someone help me with these problems i will give brainliest for the person who gives me the answers and work to go with it
Answer:
1. T = -5 2. X = 12 3. X = 60
Step-by-step explanation:
5t + 17 = 4(t + 3)
1. Distribute 4
5t + 17 = 4t + 12
2. Isolate the variable
t + 17 = 12
t = -5
1/2x + 1/3x = 10
1. Remove fractions by multiplying the equation by 6
3x + 2x = 60
2. Combine like terms
5x = 60
3. Divide by coefficient
x = 12
1/4x + 2/5x = 39
1. Remove fractions by multiplying by 20
5x + 8x = 780
2. Combine like terms
13x = 780
3. Divide by coefficient
x = 60
F(x) =3x-10 when x=3
when x = 3,
y = -1
F(x) = 3(3) - 10 = 9 - 10 = -1
HELP ASAPPP PLSSS WILL GIVE BRAINLIEST!
Answer:
Example 1 35 example 2 is 320 and example 3 is 56 example 4 is 160
Step-by-step explanation:
Answer:
again sorry I do not know but I think it d because it not the same as the rest.
Draw a picture of the base and label the dimensions 140 17ft 4t Shape of the base Formula for area Perimeter of the base (P)= Area of the base (B) = height of the prism (h)=
Answer:sorry but i can't help you i got work okay.
Step-by-step explanation:
During a test drive, a self-driving car travels a distance of 50 miles in 80 minutes. How many miles will the car travel after 160 minutes?
Answer:
100
Step-by-step explanation:
80*2=160
so 50*2=100
In ΔGHI, h = 10 cm, ∠G=152° and ∠H=7°. Find the area of ΔGHI, to the nearest square centimeter.
Answer:
Step-by-step explanation:
I = 180-152-7 = 21°
Law of Sines:
g = h·sinG/sinH ≅ 38.5 cm
i = h·sinI/sinH = 29.4 cm
Use Heron's Formula to calculate the area from the lengths of the sides.
semi-perimeter s = (g+h+i)/2 ≅ 39.0 cm
area = [tex]\sqrt{s(s-g)(s-h)(s-i)}[/tex]≅ 69 cm²
2.945 to the nearest hundredth
Answer:
2.95
Step-by-step explanation:
2.945 would round up to 2.95 because when a number is followed by 5 it rounds up.
Help plz:)))I’ll mark u Brainliest
Answer:
x=20
Step-by-step explanation:
hope this helps
Answer:
X=20
Step-by-step explanation:
enjoy! (Hope u got it right)
BRAINLIEST WILL BE GIVEN!! The budget for a school dance is $370.00. Decorations and refreshments cost $165.00. The band charges a fee of $100.00 plus an additional $35.00 per hours. What is the maximum number of hours the school can have the band play at the dance?
Answer:
3 hours
Step-by-step explanation:
Answer:
3 hours
Step-by-step explanation:
370-165=205
205-100=105
105/35=3
A tank containing 1140.8 gallons can be emptied in 92 minutes. How many gallons is that per minute?
Answer:
Divide the volume of the tank (10,000 gallons) by the filling rate of 250 gallons/minute and you will Hours = hr x min x 3785 ml x 55 gal = 208175 = 115.6 hrs.
Step-by-step explanation:
hope it helps
Which explains why a caterpillar might look like a dangerous snake? *
(10 Points)
O A. The caterpillar and the snake have the same DNA.
B. The caterpillar and the snake have the same predators.
O C. An anti-predator adaptation has evolved in the caterpillar.
D. A behavioral adaptation has evolved in the caterpillar.
Answer:
C - An anti-predator adaptation has evolved in the caterpillar.
Step-by-step explanation:
An anti-predator adaptation has evolved in the caterpillar. By caterpillar might look like a dangerous snake.
What is adaptation?The term adaption refers to that, In biology, there are three related definitions of adaptation. First, natural selection, a dynamic evolutionary process, adapts.
The organisms to their environments, improving their evolutionary fitness. Second, it is a state that the populace has attained throughout that process.
Both predator and prey species use a variety of camouflage strategies to survive, including adopting the appearance of fearsome or unappealing creatures.
Therefore, The right option (C) is correct.
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A system that crosses at point (3, 4) will have:
A. one solution.
B. two solutions.
C. no solution.
D. an infinite number of solutions.
Step-by-step explanation:
A) one solution
Find the greatest common factor 27x2y2, 45x2
Answer:
I love algebra anyways
The ans is in the picture with the steps how i got it
(hope this helps can i plz have brainlist :D hehe)
Step-by-step explanation:
1. 8.3 is equal to _____ tenths ______ hundredths
2. 28 is equal to ______ hundredths _______tenths.
Answer:
8.3 is equal to eight tenths 3 hundredths
28 is equal to 28 tenths.
