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3 years ago

5. While driving on the highway, Mason put his

Mathematics

1 answer:

labwork [276]3 years ago

8 0

Answer:

1.25 hours

Step-by-step explanation:

While driving on the highway, Mason put his car on cruise control at 68 miles per hour. Therefore it takes 1.25 hours to drive 85 miles.

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Samples of emissions from three suppliers are classified for conformance to air-quality specifications. The results from 100 sam

tigry1 [53]

Answer:

$P(A) = \frac{30}{100}$

$P(B) = \frac{77}{100}$

$P(A\ n\ B) = \frac{22}{100}$

$P(A\ u\ B) = \frac{85}{100}$

Step-by-step explanation:

Given

See attachment for proper format of table

$n = 100$ --- Sample

A = Supplier 1

B = Conforms to specification

Solving (a): P(A)

Here, we only consider data in sample 1 row.

In this row:

$Yes = 22$ and $No = 8$

So, we have:

$n(A) = Yes + No$

$n(A) = 22 + 8$

$n(A) = 30$

P(A) is then calculated as:

$P(A) = \frac{n(A)}{Sample}$

$P(A) = \frac{30}{100}$

Solving (b): P(B)

Here, we only consider data in the Yes column.

In this column:

$(1) = 22$ $(2) = 25$ and $(3) = 30$

So, we have:

$n(B) = (1) + (2) + (3)$

$n(B) = 22 + 25 + 30$

$n(B) = 77$

P(B) is then calculated as:

$P(B) = \frac{n(B)}{Sample}$

$P(B) = \frac{77}{100}$

Solving (c): P(A n B)

Here, we only consider the similar cell in the yes column and sample 1 row.

This cell is: [Supplier 1][Yes]

And it is represented with; n(A n B)

So, we have:

$n(A\ n\ B) = 22$

The probability is then calculated as:

$P(A\ n\ B) = \frac{n(A\ n\ B)}{Sample}$

$P(A\ n\ B) = \frac{22}{100}$

Solving (d): P(A u B)

This is calculated as:

$P(A\ u\ B) = P(A) + P(B) - P(A\ n\ B)$

This gives:

$P(A\ u\ B) = \frac{30}{100} + \frac{77}{100} - \frac{22}{100}$

Take LCM

$P(A\ u\ B) = \frac{30+77-22}{100}$

$P(A\ u\ B) = \frac{85}{100}$

8 0

3 years ago

1.8 = 2.1h - 5.7 - 4.6h h= __

Blababa [14]

Answer:

how are you doing

Step-by-step explanation:

7 0

2 years ago

State how many imaginary and real zeros the function has.

myrzilka [38]

Hello,
Degre 5==> even number of imaginary roots and odd number of reals.

Real roots must be a divisor of 7.
Using Excel, we find

 x P(x)
-7 0 
 -6 1369
 -5 1352
 -4 867
 -3 400
 -2 125
 -1 24
0 7
1 32
2 225
3 1000
4 3179
5 8112
6 17797
7 35000

So: one real root: 7 and 4 imaginary roots.

Answer B

7 0

3 years ago

1.44 /0.6 in long division

kow [346]

Answer:

The answer is 2.4

Step-by-step explanation:

because I division 1.44/0.6 its gave me 2.4

6 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

#SPJ1

5 0

1 year ago