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FromTheMoon [43]
1 year ago
14

3 Find mLABC. A (50-x) ✓ B 80° (2x + 40)° D

Mathematics
1 answer:
Gnoma [55]1 year ago
4 0

Answer:

∠ ABC = 40°

Step-by-step explanation:

the 3 angles lie on a straight line ABE and sum to 180° , that is

50 - x + 80 + 2x + 40 = 180

x + 170 = 180 ( subtract 170 from both sides )

x = 10

Then

∠ ABC = 50 - x = 50 - 10 = 40°

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Find the measure of indicated unknown angle
RSB [31]

Answer:

60

Step-by-step explanation:

90÷2=45

45+75+m=180(sum of triangle)

120+m =180

m=180-120

m=60

4 0
3 years ago
A large bag of individual candy packs is opened. The amount of candy is counted and marked on the dot plot below. Which of the s
-Dominant- [34]

Answer:

Mean is simply defined as the average of the given set of numbers. The mean is considered as one of the measures of central tendencies in statistics. The mean is said to be an arithmetic mean. It is the ratio of the sum of the observation to the total number of observations.

Candy comes in large bags of 75 candies, a 1 pound bag, and large bags with multiple fun-size packs.

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Step-by-step explanation:

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4 0
2 years ago
A teacher found that the mean number of pets, the students in her 5th grade class own, is 3 with a margin of error of 2.5. Const
Phoenix [80]
The margin of error is defined as
E=z^{*} \frac{\sigma}{ \sqrt{n} }
where
σ = population standard deviation
n = sample size
z* =  aconstant that depends on the confidence level. 
        At the 95% confidence level, z* = 1.96.

The confidence interval is calculated as
(μ - E, μ + E)

Given:
μ = 3, the mean number of pets,
E = 2.5, margin of error at the 95% confidence level.
Therefore the 95% confidence interval is
(3 - 2.5, 3 +2.5) = (0.5, 5.5)
Because we can only count whole numbers of pets, the confidence interval is (0, 5).

Answer:
At the 95% confidence level, the 5th graders own between 0  and 5 pets.  

7 0
4 years ago
#1) a normal distribution has a mean of 101 and a standard deviation of 4.2. what is the z-score of 105?
nika2105 [10]

Step-by-step explanation:

z = (specific score - mean) / standard deviation

in our case

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as z-tables usually round the z-scores to hundredths.

5 0
2 years ago
Mr. W is having a yard sale, where he is selling iPad chargers and wireless keyboards. At the
photoshop1234 [79]

Answer: the system of inequalities are

x + y ≤ 14

18x + 38y = 342

Step-by-step explanation:

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Let y represent the number of keyboards sold.

At the end of the day, he knows he sold a maximum of 14 items. This is expressed as

x + y ≤ 14

If he

charged $18 for each iPad charger (x) and $38 for each keyboard (y) and earned a total of $342, the expression would be

18x + 38y = 342

3 0
3 years ago
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