if 2 were banded that means 18 out of 20 were not banded
18 divided by 20 = 0.9
so 90% were not banded
List the sample space in the experiment "roll two dice - a red die and a white die." (hint: use a table)
What does the y intercept represent in distance vs time squared?
1.Parallelogram ACFD is split in two parts so that ABED and FEBC are congruent isosceles trapezoids. What are the measures of all the angles of trapezoid FEBC if angle D is 48°?
I know that Angle C is 48 degrees
I know that Angle F is 132 degrees
What is < CBE equal to and why?
What is < FEB equal to and why?
Suppose Q and R are independent events. Find P(Q and R) if P(Q) = 0.27 and P(R) = 0.03.
Answer:
Value of [tex]P(Q \cap R)[/tex] is, 0.0081
Step-by-step explanation:
For an independent events A and B is given by:
[tex]P(A \cap B) =P(A) \cdot P(B)[/tex]
As per the statement:
Suppose Q and R are independent events.
P(Q) = 0.27 and P(R) = 0.03.
We have to find [tex]P(Q \cap R)[/tex]
By definition we have;
[tex]P(Q \cap R) =P(Q) \cdot P(R)[/tex]
Substitute the given values we have;
[tex]P(Q \cap R) =0.27 \cdot 0.03[/tex]
⇒[tex]P(Q \cap R)=0.0081[/tex]
therefore, the value of [tex]P(Q \cap R)[/tex] is, 0.0081
A rectangle is divided into 8 equal parts. Two parts are shaded. Which fraction is equivalent to the shaded area of the rectangle?
given : 100cm= 1 m .01 = 1cm
Final answer:
The equation 100 cm = 1 m is used to create a conversion factor that allows for conversion between centimeters and meters. This conversion factor is essential when measuring lengths and is part of the metric system, which also includes units like kilometers, millimeters, micrometers, and nanometers.
Explanation:
Understanding Conversion Factors
When considering the statement that 100 cm is equivalent to 1 m, we can create a conversion factor to help us switch from one unit of measurement to another. A conversion factor is a ratio of equivalent measurements used to convert a quantity from one unit to another. In this case, 100 cm/1 m is our conversion factor, and it is equal to 1 because both numerator and denominator represent the same length but in different units.
If we were to divide both sides of the equation by 1 meter, we would get 1 m/1 m on one side and 100 cm/1 m on the other, simplifying to just 1 because any fraction with the same number in the numerator and denominator equals 1. Hence, utilizing this conversion factor allows any given number in meters to be converted into centimeters, and vice versa, without changing the measure's value.
Furthermore, knowing other unit conversions like 1 meter equals 0.001 kilometers, 1.094 yards, or 39.37 inches can be very useful in different contexts. Similarly, we can break down meters into smaller units such as centimeters, millimeters, micrometers, and nanometers, with each having its place in the metric system.
select the function that represents a geometric sequence?
Answer:
The correct option is A.
Step-by-step explanation:
A geometric sequence is defined as
[tex]A(n)=ar^{n-1}[/tex]
Where, a is the first term of the sequence, r is the common ratio and n is number of term. So, n can not be negative or zero.
In option A, the given sequence is
[tex]A(n)=P(1+i)^{n-1}[/tex]
Where, n is positive integers.
Here the first term is P and (1+i) is the common ratio. So, this sequence is geometric sequence.
Therefore the correct option is A.
Answer:
A is correct just took the test
Step-by-step explanation:
how many 1/4 cup servings of oatmeal are in 3/5 of a cup of oatmeal?
What is the value of the underlined digit 5,678.321
The value of the underlined digit is 600.
What is the place value strategy?The place value strategies are defined as math strategies that use to assist you in resolving your elementary math problems, use your places values, such as tens and hundreds. It is possible to employ enlarged notation or compensation. Using regrouping techniques, you can make the problem easier by compensating for addition.
We must determine the values of each integer in order to calculate the value of the underlined digit (6) in the equation.
In 5,678.321, the first digit, 5, is 1,000 in the thousands of places.
The second digit, 6, is in the hundreds (100) place.
So the value is 600.
Hence, the value of the underlined digit is 600.
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Your question is incomplete, probably the complete question is:
What is the value of the underlined digit 5,678.321, the underlined digit (6)
Fuaad solved an absolute value inequality and expressed the solution as -12
how many pairs of feet are needed to have at least 76, toes
The packaging lists a model airplane’s length as 10.5 in. It also gives the scale as 1:83. What is the length of the actual airplane to the nearest foot?
a.87ft
b.104ft
c.127ft
d.73ft
what is the quotient a-3/7÷3-a/21
The quotient of the expression [tex]\(\frac{a-3}{7} \div \frac{3-a}{21}\)[/tex] is -3.
To find the quotient of the expression [tex]\(\frac{a-3}{7} \div \frac{3-a}{21}\)[/tex], we follow the rules of division for fractions, which involves multiplying the first fraction by the reciprocal of the second fraction.
The expression can be rewritten as:
[tex]\[\frac{a-3}{7} \times \frac{21}{3-a}\][/tex]
Now, we can simplify the expression by canceling out common factors. Notice that [tex]\(a-3\)[/tex] and [tex]\(3-a\)[/tex] are negatives of each other, and [tex]\(7\)[/tex] is a factor of [tex]\(21\)[/tex].
First, we can cancel [tex]\(a-3\)[/tex] with [tex]\(3-a\)[/tex], keeping in mind that a negative sign will be introduced since [tex]\(a-3 = -(3-a)\)[/tex]:
[tex]\[\frac{-1}{7} \times \frac{21}{-1}\][/tex]
Next, we simplify [tex]\(21\)[/tex] divided by [tex]\(7\)[/tex], which is [tex]\(3\)[/tex]:
[tex]\[-1 \times 3\] = -3[/tex]
find the next three terms in the geometric sequence: 400, 200, 100, 50
The next three terms in the geometric sequence are 25, 12.5 and 6.25.
The given geometric sequence is 400, 200, 100, and 50.
We need to find the next three terms in the geometric sequence.
What is the geometric sequence?A geometric sequence is a special type of sequence. It is a sequence in which every term (except the first term) is multiplied by a constant number to get its next term. i.e., To get the next term in the geometric sequence, we have to multiply with a fixed term (known as the common ratio), and to find the preceding term in the sequence, we just have to divide the term by the same common ratio.
In the given geometric sequence the common ratio is 1/2.
5th term=50/2=25
6th term=25/2=12.5
7th term=12.5/2=6.25
Therefore, the next three terms in the geometric sequence are 25, 12.5 and 6.25.
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Find the value of x so that the function has the given value.
j(x)=−4/5x+7; j(x)=−5
what is five divided by 2835
The amount left when you subtract last month's payment from last month's balance on a credit card statement is the
A. APR.
B. unpaid balance.
C new balance.
D. minimum payment.
The percentage charged each month on purchases charged to the credit card account is called the
A. periodic rate
B. new balance
C. unpaid balance
D. minimum payment
Answer:
Question 1)
Option: B
( unpaid balance)
Question 2)
Option: D
( Minimum payment )
Step-by-step explanation:
Question 1)
UNPAID BALANCE:
unpaid balance is the remaining balance of a loan, cash advance or credit that has not been paid.
Hence, The amount left when you subtract last month's payment from last month's balance on a credit card statement is the:
unpaid balance.
Question 2)
Minimum payments are typically calculated as percentage of your outstanding balance plus any fees that have been added to your balance.
Hence, The percentage charged each month on purchases charged to the credit card account is called the:
Minimum payment.
Determine which numbers could not be used to represent the probability of an event. select all that apply.
a. minus−1.5, because probability values cannot be less than 0.
b. 0.0002, because probability values must be rounded to two decimal places.
c. startfraction 64 over 25 endfraction 64 25, because probability values cannot be greater than 1.
d. 33.3%, this is because probability values cannot be greater than 1.
e. startfraction 320 over 1058 endfraction 320 1058, because probability values cannot be in fraction form. f. 0, because probability values must be greater than 0.
stacey has 18 bracelets after she organizes the bracelets by color she has 3 equal groups how many bracelets are in each group
Sasha donated 9/100 of her class’s entire can collection for the food drive. What decimal is equivalent to 9/100?
If there were to be 9 boys and 6 girls at a party and the host wanted each to be given the same number of candies that could be bought in packages containing 12 candies, what is the fewest number of packages that could be bought? I got 36. But i'm not sure.
Using the least common factor of 15 and 12, it is found that the fewest number of packages that could be bought is of 5.
How to find the least common factor of two amounts?To find the lcm(least common multiple), we factor the numbers by prime factors, and then multiply these factors.
In this problem, packages of 12 candies will be used to give candies for 9 + 6 = 15 people, hence the least number of candies is lcm(12,15).
Then:
12 - 15|2
6 - 15|2
3 - 15|3
1 - 5|5
1 - 1
Hence lcm(12,15) = 2 x 2 x 3 x 5 = 60.
Since 60 candies are needed, and each package has 12 candies, the number of packages is given by:
n = 60/12 = 5.
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there are 24 students in science class. mr james will give each pair of students 3 magnets . so far ,mr James has given 9 pairs of students their magnets . how many magnets doses mr james need sp that each pair of students has exactly 3 magnes?
24/2 = 12 pairs of students
if he gave 9 pairs of students magnets there are 12-9 = 3 pairs left
3 magnets per pair
3*3 = 9 more magnets are needed
Answer:
the answer is d
Step-by-step explanation:
A sea lion dove from the water's surface at sea level to an altitude of −216.12 meters in 2.4 minutes. What is the average change in the sea lion's altitude per minute? Enter the your answer in the box as a decimal.
Two similar right triangles have areas of 6 square inches and 150 square inches. The length of the hypotenuse of the smaller triangle is 5 inches. What is the sum of the lengths of the legs of the larger triangle?
To solve for the sum of the lengths of the legs of the larger triangle, we need to know the sum of the legs of the smaller triangle and multiply it by the scaling factor, which is 5. However, we can't find this sum with the given information because we don't have individual leg lengths of the smaller triangle.
Explanation:To find the sum of the lengths of the legs of the larger triangle, we first need to establish the scale factor between the two similar triangles based on their areas. The area of a triangle scales with the square of the length of its sides. Given that one triangle has an area of 6 square inches and the other has an area of 150 square inches, the scale factor in area is given by the square root of the ratio of the larger area to the smaller area, which is √(150/6), which simplifies to 5. Therefore, if the hypotenuse of the smaller triangle is 5 inches, the hypotenuse of the larger triangle will be 5 times larger, that is 5 * 5 = 25 inches.
Given that the triangles are similar, all corresponding lengths scale by the factor of 5. If we denote the length of the legs of the smaller triangle as a and b, and the legs of the larger triangle as A and B, then A = 5a and B = 5b. Although we don't know the exact lengths of a and b, we can use the Pythagorean Theorem which states that the square of the hypotenuse (c) is equal to the sum of the squares of the two legs (a and b). For the smaller triangle, we have c² = a² + b². But since we only know c (which is 5 inches for the smaller triangle), we cannot directly find the individual lengths of a and b.
Since the question asks for the sum of the legs of the larger triangle (A+B), we only need to find the sum of the legs of the smaller triangle (a+b) and scale it up by the same factor. If a and b were known, we would do (a+b)*5 to get the sum for the larger triangle. However, without those individual lengths, we cannot find the sum based on the given information. To solve this problem, additional information about the lengths of the legs of the smaller triangle would be needed.
A sign in an elevator says the elevator can lift up to 450 kg. John has 10 boxes that weigh 13.75 kg each, and a number of additional boxes that weigh 15.5 kgs each. If he puts the 10 boxes on the elevator, how many of the additional boxes can be lifted in the same load?
A student is calculating how many additional boxes can be added to an elevator that already has 10 boxes of a certain weight. By using the weight capacity of the elevator and the weights of the boxes, the student determines the number of extra boxes that can be accommodated in the elevator's load.
To solve this problem, we need to first calculate the total weight of the 10 boxes:
Weight of 10 boxes = 10 boxes x 13.75 kg/box = 137.5 kgSubtract this weight from the maximum capacity of the elevator: 450 kg - 137.5 kg = 312.5 kgDivide the remaining weight by the weight of each additional box to find out how many more boxes can be lifted: 312.5 kg ÷ 15.5 kg/box ≈ 20 boxesTable tennis the path of a table-tennis ball after being hit and hitting the surface of the table can be modeled by the function h=-4.9t(t-0.42) where h is the height in meters above the table and t is the time in seconds. how long does it take the ball to hit the table?
How many integers between 100 and 999 have all distinct digits (i.e., no two digits the same)?
Final answer:
To determine how many integers between 100 and 999 have distinct digits, we calculate the possibilities for each position, giving us 9 options for the first digit, 9 for the second, and 8 for the third, resulting in a total of 648 integers.
Explanation:
The question is about finding the number of integers between 100 and 999 with distinct digits. To find this, we calculate the possibilities for each digit separately. The first digit can be anything from 1 to 9 (excluding 0 because the number cannot be less than 100), so there are 9 possibilities for the first digit. For the second digit, since it cannot be the same as the first, there are 9 possibilities (0 can now be included). Finally, for the third digit, we subtract the choices we've already used, so there are 8 possible digits left.
Calculating the total, we multiply the possibilities for each digit: 9 (first digit) × 9 (second digit) × 8 (third digit) = 648. Therefore, there are 648 integers between 100 and 999 that have all distinct digits.
Alexandra has 78 emails in her inbox. She deletes 47 emails. How many emails are left in her inbox? Draw jumps and label the number line to show your thinking. —————————————78
This problem can be solved directly by subtraction.
We are given that there are initially 78 emails in her inbox.
We take out or delete 47 emails therefore we subtract 47 from 78, hence:
78 – 47 = 31
So there are 31 emails left in her inbox.
A train leaves Los Angeles at 2 p.m. heading north at 50 mph. If the next train leaves three hours later and also heads north at 60 mph, at what time will the second train catch up with the first?
The Second train will catch up with the first train after 15 hours which is 8a.m the following morning.
First train :
Departure time = 2 pm
Speed = 50 mph
Second train :
Departure time = 2 pm + 3 hours = 5 pm
Speed = 60 mph
Distance = speed × time
Distance already covered by first train before the departure of the second = 50 mph × 3 hpird = 150 miles
The number of hours needed for second train to catch up will be h;
(60 × h) = (50 × h) + 150
60h = 50h + 150
60h - 50h = 150
10h = 150
h = 150/ 10
h = 15
Second train will catch up after 15 hours :
Hence, time will be : (5pm + 15 hours) = 8 a.m the following morning.
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Answer: 8:00 am
Step-by-step explanation:
(5pm + 15 hours) = 8 a.m the following morning.
60h = 50h + 150
60h - 50h = 150
10h = 150
h = 150/ 10
h = 15
How are the variables on the graph related?
Answer choices:
A. As speed decreases, height stays constant.
B. As speed decreases, height increases.
C. As speed increases, height decreases.
D. As speed increases, height increases.
The graph demonstrates a uniform relationship between speed and height, indicating that as speed increases, height also increases. Therefore, the correct answer is:
D. As speed increases, height increases.
The Graph indicates a uniform relationship between speed and height. To interpret this in the context of the answer choices:
D. As speed increases, height increases.
This is the most appropriate choice based on the information provided. In a uniform relationship, as speed increases, the corresponding height also increases. Therefore, Option D accurately captures the relationship depicted on the graph.