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Amanda [17]
2 years ago
8

An international cake competition attracted 50 bakers from around the world. The graph below shows the relationship between the

amount of sugar in the cakes (in grams per 100 grams of cake) and the scores the cakes received.
What is the best description of this relationship?

Choose 1 answer:

A

Positive linear association

B

Negative linear association

C

Nonlinear association

D

No association
Mathematics
1 answer:
stepladder [879]2 years ago
4 0

C . Nonlinear Association

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Two production lines produce the same parts per week of which 100 are defective. Line 2 produces 2,000 parts per week of which 1
Vikentia [17]

Answer:

(a) 0.0833 or 8.33%

(b) 0.40 or 40%

Step-by-step explanation:

Parts line one (n1) = 1,000 parts

Defects line one (d1) = 100 parts

Parts line two (n2) = 2,000 parts

Defects line two (d2) = 150 parts

Total number of parts (n) = 3,000 parts

a. Probability of a randomly selected part being defective:

P(d) = \frac{d_1+d_2}{n_1+n_2}=\frac{100+150}{1,000+2,000}\\P(d) =0.0833=8.33\%

The probability is 0.0833 or 8.33%

b. Probability of a part being produced by line one, given that it is defective:

P(1|d)=\frac{P(1\cap d)}{P(1\cap d)+P(2\cap d)}\\P(1|d)=\frac{\frac{100}{3,000} }{\frac{100}{3,000}+\frac{150}{3,000}}\\P(1|d)=0.4 = 40\%

The probability is 0.40 or 40%.

5 0
1 year ago
it takes max 1.8 hours to walk home from work at a rate of 3.5km/h. how long would it take max to cover the same distance walkin
NikAS [45]

Time taken by Max to cover the same distance walking at 4.2 km/h is 1.5 hours

<h3><u>Solution:</u></h3>

Given it takes Max 1.8 hours to walk home from work at a rate of 3.5km/h

We have to find time taken by Max to cover the same distance walking at 4.2 km/h

<em><u>The relation between speed and time is given as:</u></em>

speed = \frac{distance}{time}

<em><u>CASE 1:</u></em>

It takes Max 1.8 hours to walk home from work at a rate of 3.5km/h

Let us first find the distance covered

Time taken = 1.8 hours and speed = 3.5 km/hr

3.5 = \frac{distance}{1.8}\\\\distance = 3.5 \times 1.8 = 6.3

Hence distance covered is 6.3 km

<em><u>Now we have to find the time taken to cover same 6.3 km walking at 4.2 km\hr</u></em>

4.2 = \frac{6.3}{time taken}\\\\time taken = \frac{6.3}{4.2} = 1.5

So time taken by Max to cover the same distance walking at 4.2 km/h is 1.5 hours

3 0
1 year ago
At the beginning of the summer Matt swim 12 laps. At the end of the summer he could swim 15 laps. What is the percent increase i
aleksandr82 [10.1K]
Percent change = (new number - old number)/(old number) * 100
A positive percent change is a percent increase.
A negative percent change is a percent decrease.

In this problem, we have:
The new number is 15 laps.
The old number is 12 laps.


percent change = (15 - 12)/(12) * 100

percent change = 3/12 * 100

percent change = 25

Since the percent change is positive, +25, it is a percent increase.

Answer: The percent increase is 25%

8 0
2 years ago
An employment agency requires applicants average at least 70% on a battery of four job skills tests. If an applicant scored 70%,
brilliants [131]

Answer:

atleast 52

Step-by-step explanation:

Given that an employment agency requires applicants average at least 70% on a battery of four job skills tests.

An applicant scored 70%, 77%, and 81% on the first three exams,

Since weightages are not given we can assume all exams have equal weights

Let x be the score on the 4th test

Then total of all 4 exams = 70+77+81+x\\= 228+x

Average should exceed 70%

i.e.\bar X \geq 70\\Total\geq 70(4) =280

Comparing the two totals we have

228+x\geq 280\\x\geq 280-228 = 52

Hemust  score on the fourth test a score atleast 52 to maintain a 70% or better average.

3 0
1 year ago
Consider 7 x 10 ^ 3 write a pattern to find the value of the expression
Lelechka [254]
7 x 10^1 = 70
7 x 10^2 = 700
7 x 10^3 = 7000
3 0
1 year ago
Read 2 more answers
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