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3 years ago

WILL GIVE BRAINLIEST AND 100 POINTS

Mathematics

1 answer:

ICE Princess25 [194]3 years ago

4 0

Answer:

a) The interval for those who want to go out earlier is between 43.008 and 46.592

b) The interval for those who want to go out later is between 47.9232 and 51.9168

Step-by-step explanation:

Given that:

Sample size (n) =128,

Margin of error (e) = ±4% =

a) The probability of those who wanted to get out earlier (p) = 35% = 0.35

The mean of the distribution (μ) = np = 128 * 0.35 = 44.8

The margin of error = ± 4% of 448 = 0.04 × 44.8 = ± 1.792

The interval = μ ± e = 44.8 ± 1.792 = (43.008, 46.592)

b) The probability of those who wanted to start school get out later (p) = 39% = 0.39

The mean of the distribution (μ) = np = 128 * 0.39 = 49.92

The margin of error = ± 4% of 448 = 0.04 × 49.92 = ± 1.9968

The interval = μ ± e = 44.8 ± 1.792 = (47.9232, 51.9168)

The way for those who want to go out earlier to win if the vote is counted is if those who do not have any opinion vote that they want to go earlier

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A person earns 23,000 one year and gets a 5% raise in salary. Calculate the new yearly salary using a percent greater than 100

Kazeer [188]

Answer:

24,150

Step-by-step explanation:

Given that :

Salary earned this year = 23,000

Percentage Raise in salary for the new year = 5%

The new yearly salary can be obtained thus ;

(100% + percentage raise in salary) * salary earned this year

(100% + 5%) * 23,000

105% * 23000

1.05 * 23000

24,150

4 0

3 years ago

A tropical storm has been moving at 15 miles per hour for the past two days. Bess recorded that the storm moved 135 miles yester

Allushta [10]

Answer:

Bess has been keeping track of the storm for 14 hours.

Step-by-step explanation:

The tropical storm has been moving at 15 miles per hour.

Bess recorded that the storm moved 135 miles yesterday and 75 miles today. Total distance covered by storm is

$135+75=210$

The relationship between distance speed and time is defined as

$speed=\frac{distance}{time}$

$15=\frac{210}{time}$

$time=\frac{210}{15}$

$time=14$

Therefore, Bess has been keeping track of the storm for 14 hours.

8 0

3 years ago

Secants L J and L M intersect and form an angle at point L. Solve for x.

german

Answer:

x = 14

Step-by-step explanation:

Assume your diagram is like the one below.

The intersecting secant angles theorem states, "When two secants intersect outside a circle, the measure of the angle formed is one-half the difference between the far and the near arcs."

For your diagram, that means

$\begin{array}{rcl}m\angle L &=&\dfrac{1}{2} \left(m \widehat {JM} - m\widehat {PQ}\right)\\\\(3x + 13)^{\circ}& = &\dfrac{1}{2} \left[(8x + 48)^{\circ} - (5x - 20)^{\circ}\right]\\\\3x + 13& = &\dfrac{1}{2}(8x + 48 - 5x + 20)\\\\3x + 13& = &\dfrac{1}{2}(3x + 68)\\\\6x + 26 & = & 3x + 68\\6x & = & 3x + 42\\3x & = & 42\\x & = & \mathbf{14}\\\end{array}$

Check:

$\begin{array}{rcl}(3\times14 + 13) & = &\dfrac{1}{2} \left[(8\times14 + 48)^{\circ} - (5\times14 - 20)^{\circ}\right]\\\\42 + 13& = &\dfrac{1}{2}(112 + 48 - 70 + 20)\\\\55& = &\dfrac{1}{2}(110)\\\\55 & = & 55\\\end{array}$

It checks.

6 0

3 years ago

Please answer quickly thanks :)))

soldi70 [24.7K]

From least to greatest: |6.99|,|-7.09|,|7.15|,|-7.18|,|-7.21|. This is becauase every value will be positive because of the absolute value

4 0

3 years ago

Read 2 more answers

Evaluate: 8 - 9+(-2)

Kobotan [32]

Evaluate : 8 - 9 + (-2)

8-9= -1 (because if you take away 9 from 8, you will end up with a negative number since there isn’t enough to take away.)

-1 + -2 = -3 (this is because when you are adding two negative numbers together, you will basically just add -1 and -2 as you would normally, then you would transfer the negative sign as well to make it -3)

Finally, your answer to this question is -3.

5 0

3 years ago