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2 years ago

Assume that the readings at freezing on a batch of thermometers are normally distributed with a mean of 0°C

Mathematics

1 answer:

Tanya [424]2 years ago

8 0

Answer:

Use z = (x - μ)/σ or x = zσ + μ

Given: μ = 0 oC, σ = 1.00 oC

94% = .9400 on a z-table falls half-way between z = 1.55 and z = 1.56 --> z = 1.555

x = 1.555(1.00 oC) + 0 oC = 1.555 oC

P94 = 1.555 oC

Step-by-step explanation:

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To get from his house to the lecture hall at school, Lin walked west 651 feet. After class, he walked northeast 910 feet to the

Ahat [919]

The general direction that Lin walked from the gym to his house is; B: Lin walked southwest, creating an obtuse triangle.

<h3>How to interpret distance bearing?</h3>

We are given;

Distance between the lecture hall and gym = 910 feet.

Distance between the gym and Lin apostrophe's house = 615 feet.

Distance between the lecture hall and Lin apostrophe's house = 651 feet.

Now, since this 3 distances form a triangle and the 3 distances are unequal, then we can call it an obtuse triangle since he walked west and then walked northwest.

Now, since he walked back to his house from the gym, we can say that he walked southwest if we picture the bearing of his first two directions.

Read more about Distance Bearing at; brainly.com/question/22719608

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4 0

2 years ago

Find the length of an arc made by a 180-degree central angle in a circle with a 10ft radius

mixas84 [53]

Answer:

the length of an arc = 10π ft.

Step-by-step explanation:

The length of an arc with angle Θ and radius r will be equal r * Θ

note the angle must be in radian

Given: Θ = 180° = π and radius = r = 10 ft.

So, the length of the arc = π * 10 = 10π ft.

8 0

3 years ago

If five numbers are selected at random from the set {1,2,3,...,20}, what is the probability that their minimum is larger than 5?

Zanzabum

Answer:

the probability that their minimum is larger than 5 is 0.2373

Step-by-step explanation:

For calculate the probability we need to make a división between the total ways to selected the 5 numbers and the ways to select the five numbers in which every number is larger than 5.

So the number of possibilities to select 5 numbers from 20 is:

20 * 20 * 20 * 20 * 20

First number 2nd number 3rd number 4th number 5th number

Taking into account that a number can be chosen more than once, and the order in which you select the numbers matters, for every position we have 20 options so, there are $20^{5}$ ways to select 5 numbers.

Then the number of possibilities in which their minimum number is larger than 5 is calculate as:

15 * 15 * 15 * 15 * 15

First number 2nd number 3rd number 4th number 5th number

This time for every option we can choose number from 6 to 20, so we have 15 numbers for every option and the total ways that satisfy the condition are $15^{5}$

So the probability P can be calculate as:

$P=\frac{15^{5} }{20^{5} } \\P=0.2373$

Then the probability that their minimum is larger than 5 is 0.2373

7 0

3 years ago

The length of a rectangle is 4 in longer than its width.

bija089 [108]

The area of the rectangle that has a perimeter of 44 in is calculated as: 117 in².

<h3>What is the Area and Perimeter of a Rectangle?</h3>

Area = length × width

Perimeter = 2(length + width).

Given the following:

Width = w in.
Length = w + 4 in
Perimeter of the rectangle = 44 in.

Therefore:

2(w + 4 + w) = 44

Solve for w

2(2w + 4) = 44

4w + 8 = 44

4w = 44 - 8

4w = 36

w = 9

Width of the rectangle = w = 9 in.

Length = w + 4 = 9 + 4 = 13 in.

Area of the rectangle = 13 × 9 = 117 in².

Learn more about the area of rectangle on:

brainly.com/question/2607596

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5 0

11 months ago

Two classes have a total of 50 students. One of the classes has 6 more students than the other. How many students are in the lar

Ivahew [28]

Let's say 'x' to number of the students in the smaller class. Since the larger one is 6 more than the smaller one, its number would be 'x+6'. So their sum is equal to

$x+x+6=2x+6$ and we know total is 50 so:
$2x+6=50\\ 2x=50-6\\ 2x=44\\ x=\frac { 44 }{ 2 } \\ x=22$

x is 22 so the larger number 'x+6' is equal to : $x+6=22+6=28$

4 0

3 years ago

Read 2 more answers