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Vadim26 [7]
3 years ago
12

Zachary inspects staplers at the factory. Last month. He inspected 3,000 staplers at random and found that 12 did not work prope

rly. The factory manufactures 15,000 staplers each month. Based on the sample, how many staplers could not be expected to work properly each month?
Mathematics
1 answer:
zmey [24]3 years ago
3 0
60 staplers are expected not to work
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Q2. A train travels at a constant speed of 45 m/s. a) Calculate the distance travelled by the train in:
alex41 [277]

Answer:

i) 1350 m

ii) 5400 m

Step-by-step explanation:

<u>Formula for Speed</u>

\boxed{\sf Speed=\dfrac{Distance}{Time}}

Rearrange the formula so that Distance is the subject:

\implies \sf Distance = Speed \times Time

<h3><u>Question (i)</u></h3>

Given:

  • Speed = 45 m/s (meters per second)
  • Time = 30 seconds

Substitute the given values into the formula for distance:

\implies \sf Distance = 45 \times 30 = 1350\:m

<h3><u>Question (ii)</u></h3>

Given:

  • Speed = 45 m/s (meters per second)
  • Time = 2 minutes

As the time is given in a different unit of time as the speed, we must first convert the time into seconds:

1 minute = 60 seconds

⇒ 2 minutes = 60 × 2 = 120 seconds

Therefore:

  • Speed = 45 m/s (meters per second)
  • Time = 120 seconds

Substitute the values into the formula for distance:

\implies \sf Distance = 45 \times 120 = 5400\:m

3 0
8 months ago
Read 2 more answers
How Important Is Regular Exercise? In a recent poll1 of 1000 American adults, the number saying that exercise is an important pa
Elza [17]

Answer:

Step-by-step explanation:

Given that in a recent poll 1 of 1000 American adults, the number saying that exercise is an important part of daily life was 753.

Sample proportion = \frac{753}{1000} =0.753

To find 90% confidence interval we must find std error of proportion first

As per central limit theorem, sample proportion will follow a normal distribution with mean = 0.753

Std error of proportion= \sqrt{0.753*0.247/1000} \\=0.01363

90% Z critical value = 1.645

Margin of error = 1.645*0.01363 = 0.0224

Confidence interval lower bound = 0.753-0.0224=0.731

Upper bound = 0.775

6 0
3 years ago
-2 (x-3) + 4 x - 6 need the answer soon
IrinaVladis [17]
There's only one step to solve this problem (that's if you're looking for it)0 - 2 (x - 3) + 4x - 6  \\  Answer: 2x 
Because, -2 + (4x) = 2x
3 0
3 years ago
At her last party, Miracle decorated with window stickers. For this party, she wants to use 4 times as many stickers. Write an e
mixas84 [53]

Answer:

s x 4 or 4s

s being the variable

6 0
2 years ago
Answer the following
serg [7]

Answer:

Step-by-step explanation:

61)4 + 5(p-1) = 34     {Distributive property}

    4 + 5p - 5 = 34   {Add like terms}

         5p - 1   = 34     {Add 1 to  both sides}

             5p  = 34+1

              5p = 35  {Divide both sides by 5)

                p  = 35/5

               p = 5

62)    Smaller angle = x

Larger angle = x +50

x + (x +50) = 180       {Supplementary angles}

 2x + 50   = 180  {Subtract 50 from both sides}

          2x  = 180 -50

            2x = 130

              x = 130/2

            x = 65

Smaller angle = 65

Larger angle = 65 + 50 = 115

63) ΔBAD , ΔBCD

BA ≅ BC

∠A ≅ ∠C

AD ≅ CD

ΔBAD ≅ΔBCD        {S A S congruent}

64) Selling price = ₹ 5500

Profit = 10%

Cost price = \frac{100}{100+profit}*SP\\\\= \frac{100}{100+10}*5500\\\\=\frac{100}{110}*5500\\\\=100*50\\\\=5000=

6 0
2 years ago
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