45% of the beads in a box are blue. if there are 36 blue beads in the box, how many beads are there altogether ?
Answers
There are 80 beads altogether
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x2 – x – 2 = 0
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If m∠ABC = 72°, what is m∠DAB?
Answers
Value of ∠DAB is 108°
Intersection of Parallel lines:
Given that;
∠ABC = 72°
Find:
Value of ∠DAB
Computation:
We know that Line AD is parallel to line CB
So,
∠ABC + ∠DAB = 180°
72° + ∠DAB = 180°
∠DAB = 108°
Find out more information about 'Parallel line'
Answer: m∠DAB=72
Step-by-step explanation:
Since we have given that
∠ABC = 72°
Since the lines AD and BC are parallel to each other,
As we know that when the two parallel lines cut by a transversal then the corresponding angles will be formed.
And the corresponding angles will be equal.
So, m∠ABC =m∠DAB=72°
Hence, m∠DAB=72°
Answers
Using scale conversion in mathematics, we set up a proportion based on the blueprint scale of 3/4 in equals 5 ft. Solving this proportion, we find the actual length of the gym is 80 feet.
In mathematics, this problem is about scale conversion.
The blueprint scale in this case is 3/4 in equals 5 ft.
To find out the actual length of the gym, we need to set up a proportion and solve for the missing value.
We know that 3/4 inches represents 5 feet on the actual gym.
According to the blueprint, the length of the gym is 12 inches.
First, let's set up the proportion: 3/4 in: 5 ft = 12 in: x ft.
Now we can cross multiply and solve for 'x'. (3/4) * x = 12 * 5, which simplifies to (3x/4) = 60.
Multiply both sides by 4 to isolate 'x': 3x = 240.
Finally, divide both sides by 3, we get x = 80.
Therefore, the actual length of the gym is 80 feet.
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Answers
If two marbles are drawn at random, the probability that they are both blue is 1/4
The formula for calculating the probability is given as:
Probability = Expected outcome/Total outcome
- Given that a bag contains 2 red, 4 yellow, and 6 blue marbles
- Total outcome = 2 + 4 + 6 = 12 marbles
Since we are to find a probability of picking 2 blue balls
Pr(2 blue balls) = 6/12 * 6/12
Pr(2 blue balls) = 1/2 * 1/2
Pr(2 blue balls) = 1/4
Hence if two marbles are drawn at random, the probability that they are both blue is 1/4
Learn more here: brainly.com/question/22664861
When picking the first one the probability to pick the right one is
When we pick the second one there are 11 marbles and only 5 blue so the probabilty is
We need to pick 2 blues one after another so we multiply probabilities
Answers
data set : 20 numbers
variance : 36
Find the standard deviation from the mean.
If the variance is already provided, we simply find the square root of the variance to get the standard deviation.
Standard deviation = √36 = 6
The standard deviation of the data from the mean is √variance, which is: 6.
What is Standard Deviation?
The standard deviation can be gotten by finding the square root of the variance of the data. That is, Standard deviation = √variance.
Given the following:
Variance = 36
Standard deviation = √36
Standard deviation from the mean = 6
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