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1 year ago

1. Between finishing their dinner and going to bed, Zac and Lucy had 4 hours.

Mathematics

1 answer:

Leviafan [203]1 year ago

3 0

Answer:

Ok, I can see only a) to c)

a) Lucy spent the most time reading.

b) 20 minutes.

c) 22 minutes.

Step-by-step explanation:

Reason for b):

First convert hours to minutes.

1 hour = 60 minutes

4 hours = ?

4 × 60 = 240 minutes.

Homework is 30°

Total in the pie chart is 360° so:

30/360 × 240 mins = 20 mins

Answer is Zac spent 20 minutes to do his homework.

Reason for c):

Watching TV:

Zac: 135°

Lucy: 102°

Zac:

135/360 × 240 minutes = 90 minutes

Lucy:

102/360 × 240 minutes = 68 minutes

To find how many minutes Zac spent watching TV than Lucy:

90 minutes - 68 minutes = 22 minutes.

Do you understand, Kiara 12004?

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Of 560 samples of seafood purchased from various kinds of food stores in different regions of a country and genetically compared

frutty [35]

Answer:

a) (0.5256,0.5944)

c) Criticism is invalid

Step-by-step explanation:

We are given the following in the question:

Sample size, n = 560

Proportion of mislabeled = 56%

$\hat{p} = 0.56$

a) 90% Confidence interval:

$\hat{p}\pm z_{stat}\sqrt{\dfrac{\hat{p}(1-\hat{p})}{n}}$

$z_{critical}\text{ at}~\alpha_{0.05} = \pm 1.64$

Putting the values, we get:

$0.56\pm 1.64(\sqrt{\dfrac{0.56(1-0.56)}{560}}) = 0.56\pm 0.0344\\\\=(0.5256,0.5944)$

b) Interpretation of confidence interval:

We are 90% confident that the true proportion of all seafood in the country that is mislabeled or misidentified is between 0.5256 and 0.5944 that is 52.56% and 59.44%.

c) Validity of criticism

Conditions for validity:

$np > 10\\n(1-p)>10$

Verification:

$560\times 0.56 = 313.6>10\\560(1-0.56) = 246.4>10$

Both the conditions are satisfied. This, the criticism is invalid.

8 0

2 years ago

What is the greatest common factor GCF of 30,66. 84

Anon25 [30]

Answer:

Step-by-step explanation:

Factorize of the above numbers :

30 = 2 • 3 • 5

66 = 2 • 3 • 11

84 = 22 • 3 • 7

Build a prime factors table

Number of times each prime factor

appears in the factorization of :

Prime

Factor Number

30 Number

66 Number

84 G.C.F

(min)

2 1 1 2 1

3 1 1 1 1

5 1 0 0 0

7 0 0 1 0

11 0 1 0 0

GCF = 2 • 3

Greatest Common Factor is :

8 0

2 years ago

HELP!!!

NikAS [45]

Answer:

I believe it’s the 3rd one.

Explanation:

It’s the only graph where it looks like (2.5,5) was graphed.

7 0

1 year ago

Read 2 more answers

Geometry: Line QS bisects angle PQR. Solve for x and find the measure of angle PQR.

Kazeer [188]

It is given in the question that,

Line QS bisects angle PQR. Solve for x and find the measure of angle PQR.

And

$m \angle PQS = 2x+1
\\
m \angle RQS = 4x-15$

Since QS bisects angle PQR, therefore

$m \angle PQS = m \angle RQS$

Substituting the values, we will get

$2x+1=4x-15
\\
1+15 = 4x-2x
\\
2x = 16
\\
x = 8$

6 0

1 year ago

Read 2 more answers

According to New Jersey Transit, the 8:00 a.M. Weekday train from Princeton to New York City has a 90% chance of arriving on tim

ser-zykov [4K]

Digit numbers.

Let the numbers 00 to 89 represent that the train is on time.

Let the numbers between 90 and 99 represent that the train is late.

Randomly select 6 numbers, with repetition allowed.

Count the number of times the train is late.

Repeat this simulation multiple times.

You will most likely obtain a result of between 0 and 2 times that the train is late.

6 0

1 year ago