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VARVARA [1.3K]
2 years ago
7

Suppose that 40 batteries are shipped to an auto parts store, and that 4 of those are defective. A fleet manager then buys 8 of

the batteries from the store. In how many ways can at least 3 defective batteries be included in the purchase?
Mathematics
1 answer:
Assoli18 [71]2 years ago
7 0
From the given above, we will include the case in which 3 and all 4 defectives are included in the purchase. 

For 3:
                       (36C5) x (4C3) = 1507968
For 4:
                       (36C4) x (4C4) = 58905
Adding these numbers will give us an answer of 1566873.

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The table represents the equation y = 2 – 4x. A 2-column table with 5 rows. The first column is labeled x with entries negative
kherson [118]

The missing value for x=-1 is y=6

Explanation:

It is given that the equation for the table is y=2-4x

The table has 2 column with 5 rows.

Thus, we have,

x       y

-2      10

-1       ---

0        2

1        -2

2       -6

We need to determine the value of y when x=-1

The value of y can be determined by substituting x=-1 in the equation y=2-4x

Thus, we have,

y=2-4(-1)

Multiplying the term within the bracket, we have,

y=2+4

Adding the terms, we have,

y=6

Thus, the value of y when x=-1 is 6.

Hence, the missing value for x=-1 is y=6

7 0
2 years ago
Read 2 more answers
In a golf tournament, Sam played 4 rounds and was within 2 strokes of par for all 4 rounds of the tournament. If par is 72 on th
In-s [12.5K]

Given:

|x-4(72)|=2

To find:

The highest and lowest scores Sam could have made in the tournament.

Solution:

We have,

|x-4(72)|=2

|x-288|=2

It can be written as

x-288=\pm 2

Add 288 on both sides.

x=288\pm 2

x=288-2 and x=288+2

x=286 and x=290

Therefore, the highest and lowest scores Sam could have made in the tournament are 290 and 286 respectively.

8 0
2 years ago
Corinne and Aretha are having a 26-mile race. Corinne gave Aretha a head start by letting her begin 3.5 miles in front of the st
Ronch [10]
From the table, the speed of Corinne is given by

speed=slope= \frac{2.5-1.25}{20-10} = \frac{1.25}{10} =0.125 \ miles / minute

From the graph, the speed of Aretha is given by

speed=slope= \frac{5.5-4.5}{20-10} = \frac{1}{10} =0.1 \ miles / minute

The distance from the starting point of Corinne at any time t is given by D = 0.125t while the distance from the starting point of Aretha at any time t is given by D = 3.5 + 0.1t

Let t be the number of minutes after the start of the race when Corinne catchs Aretha, then

0.125t = 3.5 + 0.1t
0.025t = 3.5
t = 3.5 / 0.025 = 140

Therefore, the number of <span>minutes after the start of the race that Corinne will catch Aretha</span> is 140 minutes.
6 0
2 years ago
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The radar on a ship picks up two shipwrecks, A and B, 2.5 miles beneath the surface. The distance between the shipwrecks is 0.6
polet [3.4K]
We have
tan 12.5 = 60 / adj rearrange as
adj = 60 / tan 12.5 = about 270.64 m
3 0
2 years ago
Ivan found the change in a scale factor. His work is shown below. What error did Ivan make?
Tresset [83]
Scale factor is:
factor = (new length) / (old length)
Ivan correctly inserted numbers and correctly divided these two numbers by 5.

There is no error in the shown picture.
5 0
2 years ago
Read 2 more answers
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