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FrozenT [24]
3 years ago
14

A bicycle store installs about 400 tires per day. Tires are installed Monday through Friday for 8 hours per day. The owner of th

e store estimates the number of properly installed tires per week using the process below. In the first hour of work on Monday, 49 out of 50 tires were properly installed. So, there were about 8(49) = 392 properly installed tires on Monday. Considering 5 working days per week, 5(392) = 1,960 is the number of tires properly installed in one week. Which best explains the validity of the results?
Mathematics
2 answers:
dalvyx [7]3 years ago
6 0
Dividing the number of tires that should be installed per day which  is 400 by the number of working hours which is 8 will give us 50 tires per hour. Assuming that the same mistake will take toll on the workers such that they will have 1 tire mistakenly installed in an hour, they will have 8 erroneous tires in a day. Multiplying this by 5 to make the answer per week will give 40. Out of the 400 x 5  = 2000 tires. The answer would be 2000 - 40 which is equal to 1940. The assumption must be valid. 
Pavel [41]3 years ago
6 0

Answer:

A. The results are likely invalid because it is unlikely that the tires installed in one hour on Monday will represent the entire population of tires.

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Sketch the curve with the given vector equation. Indicate with an arrow the direction in which t increases. r(t) = 4 cos(t)i + 4
slega [8]

Answer:

The equation to this question is "x^2+y^2=16"

Step-by-step explanation:

Given value:

\to  r(t) = 4 \cos (t)i + 4 sin(t)j + k\\where \\\\\to x(t)= 4 \cos t\\\to y(t) = 4 \sin t\\\to z(t)=1\\

\to x^2+y^2= 16 \cos^2 t +16 \sin^2 t\\\\\to x^2+y^2= 16 (\cos^2 t +\sin^2 t)\\\\\therefore (\cos^2 t +\sin^2 t =1)\\\\\to x^2+y^2= 16 (1)\\\\\to x^2+y^2= 16\\\\\to z=1

 So, the curve r(t) = 4 \cos (t)i + 4 sin(t)j + k is basically a circle, which is defined in the attachment file.

7 0
3 years ago
Mags has 2 1/4 pints of milk in her refrigerator. She lukes to have 1/4 with her oatmeal in the morning.How many bowls of oatmea
Yuliya22 [10]
9; in the two pints there are eight 1/4 pints, and the extra 1/4 makes nine 1/4 pints.
6 0
3 years ago
Read 2 more answers
Expand and simplify (y-3)³​
Tanya [424]

Answer:

Expanded: (y-3)(y-3)(y-3)

Simplified:  y^{3}-9y^{2}+27y-27

Step-by-step explanation:

Expanded: (y-3)(y-3)(y-3)

Simplified:

y^{2} -3y-3y+9(y-3)\\y^{2} -6y+9(y-3)

y^{3} -3y^{2}-6y^{2}  +18y+9y-27

y^{3}-9y^{2} +27y-27

5 0
3 years ago
Kira's chocolate bar is
erik [133]
The egation is 58/0.79=73
the cocoa ways 73% of the grams and 73% of 58 is 42 so the cocoa weighs 42 grams in total

6 0
3 years ago
Ten young adults living in California rated the taste of a newly developed sushi pizza topped with tuna, rice, and kelp on a sca
timurjin [86]

Answer: For California: μ = 33.1; σ² = 1120.50; Range = 32;

For Iowa: μ = 24.5; σ² = 32.73; Range = 19

Step-by-step explanation:

Mean is the average of a population or a sample. It is defined as

μ = ∑x / n, where

x is each number of the set;

n is the total individuals in the sample.

Calculating the <u>Mean</u> for sample of taste of pizza in <u>California</u>:

μ₁ = \frac{34+39+40+46+33+31+34+14+15+45}{10} = 33.1

Calculating the <u>Mean</u> for the sample in Iowa:

μ₂ = \frac{28+25+35+16+25+29+24+26+17+20}{10} = 24.5

Variance measures how far the number in the set is from the mean. Its formula is

σ² = (∑x-μ)² / n -1

which means to find the variance, you have to get the difference between the number and the mean, square the result, add all of them and then divide by (n-1) individuals.

The <u>Variance</u> for the sample in <u>California</u> is

σ² = \frac{(34 - 33.1)^{2}+(39-33.1)^{2}+(40-33.1)^{2}+(46-33.1)^{2}+(33-33.1)^{2}+(34-33.1)^{2}+(14-33.1)^{2}+(15-33.1)^{2}+(45-33.1)^{2}}{9}σ² = 120.50

The <u>Variance</u> for the sample in <u>Iowa</u> is

σ² = 32.73

Range is the difference between the highest and the lowest number of the set: range = highest - lowest

For the sample in <u>California</u>, the <u>Range</u> is

range = 46 - 14 = 32

For the sample in Iowa:

range = 35 - 16 = 19

For California:

  • Mean = 33.1;
  • Variance = 120.50;
  • Range = 32;

For Iowa:

  • Mean = 24.5;
  • Variance = 32.73;
  • Range = 19;

<u />

6 0
3 years ago
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