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3 years ago

What is five fourths of a right angle

Mathematics

2 answers:

Vesna [10]3 years ago

6 0

112.5 degrees. 90 degrees * (5/4) = 112.5 degrees

frozen [14]3 years ago

4 0

Right angle is 90 degrees

$\frac{5}{4} \times 90 = 5 \times 22.5 = \boxed{112.5}$

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Experts have predicted that approximately 1 in 12 tractor-trailer units will be involved in an accident this year. One reason fo

Yuliya22 [10]

Answer:

1. 564 tractor trailers

2. (0.2919, 0.4339)

3. It should be noted that there is 90% confidence that the true population proportion lies between 0.2919 and 0.4339.

Step-by-step explanation:

Proportion= P = 0.8333333333333 (1/12)

Margin error= 0.06/2 = 0.03

Confidence level= 99

Significance level = α= (100 - 99)%= 1%= 0.01

α/2 = 0.01/2 = 0.0005

Sample size= n

= p(1 - p) (Z*/E)

=0.8333333333333 x (2.576/0.03)^2

=563.15

Approximately

=564

2) Sample size n= 124

Sample number of event x =45

Sample proportion = p= x/n

=45/124

= 0.3629

Standard error =√p(1 - p) /n

√(0.3629× (1 - 0.3629)/ 124

= 0.0432

Confidence level= 90

Significance level α= (100-90)% =0.01

Critical value Z* = 1.645

Margin of error = Z×Standard error= 1.645 × 0.0432= 0.07103

Lower limit = p- margin error= 0.3629 - 0.07103= 0.2919

Upper limit = p+margin error= 0.3629 + 0.07103= 0.4339

The answer is (0.2919, 0.4339)

3) It should be noted that there is 90% confidence that the true population proportion lies between 0.2919 and 0.4339.

5 0

4 years ago

What is 1/6+1/2 in its simplest form?

Salsk061 [2.6K]

1/2. 1/6
1/2×3=3/6
3/6+1/6=4/6
4/6=2/3

2/3

6 0

4 years ago

Read 2 more answers

Raina drove to the mountains last weekend. There was heavy traffic on the way there, and the trip took 6 hours. When Raina drove

Nostrana [21]

Answer: Raina's distance from the mountains is 176 miles

Step-by-step explanation:

Let x represent her average rate on the trip to the mountains.

If her average rate was 22 miles per hour faster on the trip home, it means that her average rate on the trip home is (x + 22) mph

Distance = speed × time

There was heavy traffic on the way there, and the trip took 6 hours. This means that the distance on her way to the mountain is 6x

When Raina drove home, there was no traffic and the trip only took 4 hours. This means that the distance on her way to home is

4(x + 22)

Since the distance covered is the same, then

6x = 4(x + 22) = 4x + 88

6x - 4x = 88

2x = 88

x = 88/2

x = 44

Raina's distance from the mountains is

6 × 44 = 176 miles

6 0

3 years ago

What are the domain and range of the piecewise function below? HELP ASAP

Vesna [10]

The domain is the set of all point where you can evaluate the function.

As you can see, the first piece is defined from -infinity to 2 (included).

The second piece is defined from 2 to 6 (excluded).

The third piece is defined from 6 (excluded) to +infinity.

So, the domain of the function is composed by all the real numbers which are not 6:

$(-\infty,6)\cup(6,\infty) = \mathbb{R}\setminus\{6\} = \{x \in \mathbb{R}\ :\ x\neq 6\}$

As for the range, it is the set of all values taken by the function. We can see that the first piece spans the y axis from 0 to infinity.

The second piece is constantly equal to 2, so it adds nothing.

The third piece spans the y axis from -2 to -infinity, so the range is

$(-\infty,-2)\cup[0,\infty) = \mathbb{R}\setminus [2,0) = \{x \in \mathbb{R}\ :\ x\geq 0\ \lor\ x$

3 0

4 years ago

Read 2 more answers

The kids have loved their time at the zoo, but it is time to go home.

Ksenya-84 [330]

If this is with remainders then it is 39 with a remainder of 3, and if this is with decimals then it is 39.6

8 0

3 years ago