All categories

2 years ago

All angles in the diagram are measured to the nearest degree.

Mathematics

1 answer:

DochEvi [55]2 years ago

6 0

Answer:

lower bound is 110.503 and upper bound is 112.500

Step-by-step explanation:

Given 3 angles around a point we are to find the fourth angle.

The three angles are 59. 108 and 81.

They are rounded off to the nearest degrees.

As per this given, fourth angle = 360-(59+108+81) = 112 degrees

Since angles were rounded off, the extreme chances are

58.5, 107.5, and 80.5 rounded off to 59, 108, and 81 from left side.

Right side maximum is 59.499, 108.499, 81.499 (taken upto 3 decimals) rounded to 59, 108, 81

In the first case, fourth angle would be 112.50 and in the second case, the fourth angle would be 110.503 degrees

Thus lower bound is 110.503 and upper bound is 112.500

You might be interested in

Rahzel wants to determine how much gasoline he and his wife use in a month.He calculated that he used 78 1/3 gallons of gas last

attashe74 [19]

52. Rahzel wants to determine how much gasoline they had every month => He used 78 1/3 gallons of gas monthly => his wife used 41 3/8 gallons of gas last month How much is to total of gas that they both used. First let’s convert this fraction to decimal => 78 1/3 = 78.33 => 41 3/8 = 41.38 Now, let’s start adding. => 78.33 + 41.38 = 119.71 this is already rounded to the nearest hundredths.

7 0

2 years ago

A hair salon in Cambridge, Massachusetts, reports that on seven randomly selected weekdays, the number of customers who visited

morpeh [17]

Answer:

a: 28 < µ < 34

Step-by-step explanation:

We need the mean, var, and standard deviation for the data set. See first attached photo for calculations for these...

We get a mean of 222/7 = 31.7143

and a sample standard deviation of: 4.3079

We can now construct our confidence interval. See the second attached photo for the construction steps.

They want a 90% confidence interval. Our sample size is 7, so since n < 30, we will use a t-score. Look up the value under the 10% area in 2 tails column, and degree of freedom is 6 (degree of freedom is always 1 less than sample size for confidence intervals when n < 30)

The t-value is: 1.943

We rounded down to the nearest person in the interval because we don't want to over estimate. It said 28.55, so more than 28 but not quite 29, so if we use 29 as the lower limit, we could over estimate. It's better to use 28 and underestimate a little when considering customer flow.

5 0

2 years ago

11. In a certain town the ratio of the number of cars to that of taxis is 15:4. If

Bess [88]

Answer: 645 cars

Step-by-step explanation:

Divide 172 by 4 to find the multiple which is 43 so if 4 was multiplied by 43 to get 172 taxis you must multiply 15 by 43 which gives 645

4 0

2 years ago

Read 2 more answers

Tyrone’s hourly wage is $18 and his net pay is 72% of his earnings. Tyrone spends about $1,800 on his monthly expenses. If Tyron

scoray [572]

18 x 40 = 720 per week.....720 x 4 = 2880 per month earnings

net pay = 0.72(2880) = 2073.60 <=== cash inflow.

how much he spends per month is his cash outflow.

3 0

2 years ago

Read 2 more answers

Mr. James has cylindrical beakers that measure 4 inches in diameter and are 9 inches high. What is the volume contained within t

kirill115 [55]

The equation to find the volume of a cylinder is V = pi•r^2•h.
The radius is half of the diameter. Since Mr. James' beakers have a diameter of 4, their radius would be 2. 2 squared is 4.
Their height is 9 inches.
V = 3.14•4•9
V = 3.14•36
V = 113.04
The answer is C, or 113.04 cubic inches.

5 0

2 years ago

Read 2 more answers