Answer:
21/72 = 0.2917 = 29.17% probability that a 6 is rolled both times
Step-by-step explanation:
Two have faces numbered 1,2,3,4,5, and 6
So for these two, each with 1/4 probability of being chosen, the probability of rolling two six is given by:
(1/6)^2 = 1/36
So
[tex]p_A = 2 \times \frac{1}{4} \times \frac{1}{36} = \frac{1}{72}[/tex]
One has faces numbered 2,2,4,4, 6 and 6;
The probability of rolling 2 faces six with this dice is:
(2/6)^2 = 4/36
This dice has 1/4 probability of being chosen. So
[tex]p_B = \frac{1}{4} \times \frac{4}{36} = \frac{1}{36}[/tex]
One has all six faces numbered 6.
The probabilityu of rolling two six is given by:
(6/6)^2 = 1^2 = 1
This dice has 1/4 probability of being chosen. So
[tex]p_C = \frac{1}{4} \times 1 = \frac{1}{4}[/tex]
Calculate the probability that a 6 is rolled both times
[tex]p = p_A + p_B + p_C = \frac{1}{72} + \frac{1}{36} + \frac{1}{4} = \frac{1 + 2 + 18}{72} = \frac{21}{72}[/tex]
21/72 = 0.2917 = 29.17% probability that a 6 is rolled both times
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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Another teacher decides to average the height of all 15-year-old male students in his classes throughout the day. By the end of the day, he measured the height of 57 boys and calculated an average of 68.1 inches. The known mean height for 15-year-old boys is 67 inches, with a standard deviation of 3.19 inches. What is the percentile rank for this sample? (enter a number only, rounded to the nearest 2 decimal places)
Answer: 0.47
Step-by-step explanation:
0.47% = 0.0047 in decimal form. Percent means 'per 57'. So, 67Inches means 0.47 per 100 or simply 0.47/100. If you divide 0.47 by 100, you'll get 0.0047 (a decimal number).
The perimeter of a rectangle is 50 centimeters. If the width of the rectangle is 9 centimeters
less than the length, find the dimensions of the rectangle.
Yes
Answer:
Length = 17 cm
Width = 8 cm
Step-by-step explanation:
Let the length be x cm
Therefore, Width = (x - 9) cm
Perimeter of rectangle = 2(l +w)
50 = 2[x + (x - 9)]
50/2 = 2x - 9
25 = 2x - 9
25+ 9 = 2x
2x = 34
x = 34/2
x = 17 cm
x - 9 = 17 - 9 = 8 cm
Therefore,
Length = 17 cm
Width = 8 cm
Thus, the dimensions of the rectangle are 17 cm and 8 cm.
−6y=4,3x-18y=43x−18y=4 has no solution. Change one constant or coefficient to make a new system with an infinite number of solutions.
Answer: the anwer is =46.76
Step-by-step explanation:
Put these fractions in order from greatest to least.
8/9 8/11 8/10 8/12
Answer:
8/9, 8/10, 8/11, 8/12
Step-by-step explanation:
If you convert the fractions to percents, 8/9 would be 88%, 8/10 would be 80%, 8/11 would be 72%, and 8/12 would be 66%. Since its greatest to least, you would use the original fractions, but these percents would help you get the correct answer.
Tara made 9 identical bags using 2 yards of fabric. How much fabric did Tara use for each bag?
Answer she used 4.5 for each bag.
Step-by-step explanation:
Answer:
2/9 or
0.2222222222222222222222222222222222222222222222222222222222222222... decimal
Step-by-step explanation:
Here are the ingredients needed to make 8 pancakes
250ml milk
140 g flour
5 g butter
a) Simon makes 4 pancakes.
Answer: To make 4 pancakes, Simon will need 125 ml milk, 70 grams flour, and 2.5 grams of butter.
Step-by-step explanation:
If that is the recipe to make 8 pancakes, and Simon has 4 pancakes, then Simon needs to cut the recipe in half. So we can multiply each ingredient by 1/2.
250 x 1/2 = 125.
140 x 1/2 = 70.
5 x 1/2 = 2.5
In conclusion, to make 4 pancakes, Simon will need 125 ml milk, 70 grams of flour, and 2.5 grams of butter.
Check Your Understanding- Question 3 of 5
A baseball has a radius of about 1.44 inches. What is its approximate volume?
A. 100 in
B. 123 in
C. 8.7 in 3
D. 12.5 in 3
HINT
SUBMIT
Answer:
D: 12.51 is the correct answer
Answer:
[tex]V=12.5\,\,in^3[/tex] (answer D)
Step-by-step explanation:
Recall that the volume (V) of a sphere in temrs of its radius (R) is given by the formula:
[tex]V=\frac{4}{3} \pi R^3[/tex]
Therefore, in our case we have:
[tex]V=\frac{4}{3} \pi 1.44^3=12.5\,\,in^3[/tex]
Please help me with this. I give brainliest and give ratings. Don't answer just to take my points or your getting reported
Answer:
by 3/4ftmrs torrer is shorter than her husband
6 1/4-5 1/2=25/4-11/2=3/4ft
help pls :)
how many real and complex roots does the graph have?
a. 2 real and 2 complex
b. 2 real and 4 complex
c. 4 real
b. 2 real
a or d dont read this heiejebdyueneidyebjwow isi ehbr
One gallon is approximately 3.79 liters. Write a direct variation equation that relates 2 gallons to y liters.
370
Answer:
2 gallons x 3.79 = 7.58 liters
Step-by-step explanation:
1 gallon = 3.79 liters
so
2 gallons x 3.79 liters = 7.58 liters
2 x 3.79 = y liters
The population of a certain species of insect is given by a differentiable function P, where P(t) is the number of insects in the population, in millions, at time t, where t is measured in days. When the environmental conditions are right, the population increases with respect to time at a rate that is directly proportional to the population. Starting August 15, the conditions were favorable and the population began increasing. On August 20, five days later, there were an estimated 10 million insects and the population was increasing at a rate of 2 million insects per day. Which of the following is a differential equation that models this situation?
a. P=2(t−5)+10
b. dP/dt=2/5t
c. dP/dt=1/5P
d. dP/dt=5P
Answer:
c. dP/dt = (1/5)P
Step-by-step explanation:
Given that the rate of change of population with respect to time dP/dt is directly proportional to the population, P, we have
dP/dt ∝ P
dP/dt = kP
Given that dP/dt = 2 million insects per day and P = 10 million insects after 5 days, So,
2 = k × 10
k = 2/10
k = 1/5
So, dP/dt = kP
dP/dt = (1/5)P
The option C is correct
DifferentiationThe rate of change of a function with respect to the given variable.
How to get the option?The rate of change of population with respect to time is directly proportional to the population P. We have
[tex]\dfrac{\mathrm{d} P}{\mathrm{d} t} \propto P\\\\\dfrac{\mathrm{d} P}{\mathrm{d} t} = kP[/tex]
[tex]\dfrac{\mathrm{d} P}{\mathrm{d} t}[/tex] is 2 million insects per day and P = 10 million insects after 5 days. So
[tex]\begin{aligned} \dfrac{\mathrm{d} P}{\mathrm{d} t} &= kP\\2 &= 10k\\k &= \dfrac{1}{5} \\\end{aligned}[/tex]
Then
[tex]\dfrac{\mathrm{d} P}{\mathrm{d} t} = kP\\\\ \dfrac{\mathrm{d} P}{\mathrm{d} t} = \dfrac{1}{5} P[/tex]
Thus, option C is correct.
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65 POINTS!!! ANSWER ASAP PLEASE!
Computer keyboards have many different types of keys. A key may have a number, letter, or symbol (like a question mark) on it. On the keyboard shown, what percent of the keys do NOT have numbers on them?
A.
40%
B.
25%
C.
75%
D.
10%
Answer:
abt 75%
Step-by-step explanation:
A class is collecting data on the number of pets each student has. The class is divided into 4 groups. Which table shows the group of students with the greatest mean number of pets?
Answer:
The group of students on the top right those students have a mean of 2.6
Step-by-step explanation:
The mean is adding up all the different numbers of pets for each kid and dividing it by the number of kids so 13 the number of pets and 5 the number of different students
A spinner numbered 1 to 8 is spun and a six-sided die is rolled. What is the probability of getting a multiple of 4 on the spinner and a multiple of 4 on the die?
Answer:
1/24
Step-by-step explanation:
P(4,8 and 4) = 2/8 x 1/6 = 1/24
Round 342.296269789 to 2 decimal places.
Answer:
342.29
Step-by-step explanation:
You take away the other decimal places.
The round-up to 2 decimal places of 342.296269789 will be 342.30.
How do round any digit?To round up or down of tens place then we need to look at the unit place if it is less than 5 then we need to round down and if it is greater than 5 then we need to round up of tens digit.
In order to round to a hundred, we need to look at the tens digit if it is less than 5 then we round down and if it is 5 or greater than 5 then we will round up.
For example round of 346 will, be350 and round of 344 will be 340
Given the digit,
342.296269789
Now,
The 3rd decimal digit is 6 which is greater than 5
So,
2nd digit will round up since it is 9 so it will round as 10 and gives 1 to the first decimal place.
So,
342.296269789 ⇒ 342.30.
Hence "The round-up to 2 decimal places of 342.296269789 will be 342.30".
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how do I graph y=(x-2)-4
What is the area and circumference of the circle?
9514 1404 393
Answer:
area: 36π ≈ 113.1 . . . . square unitscircumference: 12π ≈ 37.7 . . . . unitsStep-by-step explanation:
The area formula is ...
A = πr^2
A = π(6^2) = 36π ≈ 113.1 . . . . square units
__
The circumference formula is ...
C = πd
C = π(12) = 12π ≈ 37.7 . . . . units
Darius deposits $600 into a simple interest savings account. After a year, the account balance will be $615. What is the interest rate?
Write the equation AND solve.
Answer:
savings account. After a year, the account balance will be $615. What is the interest rate?
Write the equation AND solve.
Step-by-step explanation:
savings account. After a year, the account balance will be $615. What is the interest rate?
Write the equation AND solve.
Write 4% as a
fraction in lowest terms.
Answer:
1/25
Step-by-step explanation:
Ratio 7/11 two other ways
Answer:
Isn't it 7:11 and 7 to 11
Step-by-step explanation:
I need help with this problem
Can someone help me with this?
What is the volume of the figure? Enter the answer in the box.
: 5 times the difference of x and 4.
Answer:
i think -6 but idek
Step-by-step explanation:
Amanda and her brother, Brian, are making chocolate milk. Amanda mixes 1 ounce of chocolate syrup and 6 ounces of milk in her cup. Brian mixes 2 ounces of chocolate syrup and 10 ounces of milk in his cup. Whose milk is more chocolaty?
Answer:
Brian
Step-by-step explanation:
just did an ixl
You buy dinner at a restaurant. Your bill is $17.50. The tax is 9%. You leave a 20% tip. How much did you pay total?
Answer:
22.57
Step-by-step explanation:
17.50 + (17.50 x 0.2) + (17.50 x 0.09) = 22.575
what is the total number of yards lost or gained
What are two ways to say the time 3.7 minutes out loud? points)
Answer:
1.) three-point seven minutes
2.) three and seven-tenths minutes
Step-by-step explanation:
I hope I helped!!!
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