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serious [3.7K]
3 years ago
7

Easy points ^^

Mathematics
1 answer:
Shkiper50 [21]3 years ago
5 0

Step-by-step explanation:

x = Alice's money

y = Mio's money

z = Grace's money

x + y + z = sum

there are originality 5+4+3 = 12 parts of the money shared between them.

x = 5/12 sum

y = 4/12 sum

z = 3/12 sum

after the money transfer we are only having 4+3+2 = 9 parts of the same money distributed.

so, we are dealing with 1/9 parts.

let's bring everything to 1/36 to be able to truly compare things.

therefore

x = 15/36 sum

y = 12/36 sum

z = 9/36 sum

15/36 sum + 10 = 16/36 sum

because 4/9 = 16/36

10 = 1/36 sum

sum = 10×36 = £360

so, together they have £360.

and they had before the £10 transfer £150, £120, £90.

after the £10 transfer they had £160, £120, £80.

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A group of engineers developed a new design for a steel cable. They need to estimate the amount of weight the cable can hold. Th
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Answer:

At   90% confidence interval, the estimate of the mean breaking weight is (770.45, 778.15)

Step-by-step explanation:

Given that:

sample size n =43

sample mean x = 774.3

standard deviation = 15.4

confidence interval = 90%

At C.I of  90% , the level of significance ∝ = 1 - C.I

the level of significance ∝ = 1 - 0.90

the level of significance ∝ = 0.10

The critical  value for z at this level of significance is z_{\alpha/2} = z_{0.10/2}

z_{0.05} = 1.64

The margin of error can be computed as follows:

Margin of error = \mathtt{z_{\alpha/2}  \times \dfrac{\sigma}{\sqrt{n}}}

Margin of error =  \mathtt{1.64 \times \dfrac{15.4}{\sqrt{43}}}

Margin of error = \mathtt{1.64 \times \dfrac{15.4}{6.5574}}

Margin of error  = \mathtt{1.64 \times2.3485}

Margin of error = 3.8515

The mean breaking weight  for the 90% confidence interval is = \mathtt{\overline x  \pm E < \mu }

=  \mathtt{\overline x  - E < \mu < \overline x + E}

= ( 774.3 - 3.8515  < μ < 774.3 + 3.8515 )

= (770.4485, 778.1515)

\simeq (770.45, 778.15)

4 0
3 years ago
4x + 6 = -x +1<br>what's x?​
Setler [38]

Answer:

x=-1

Step-by-step explanation:

8 0
3 years ago
What is the distance of Line Segment AB, when A(7, 3) and B(7, -7)?
Svetach [21]

Answer:

10 units

Step-by-step explanation:

7-7=0

3-(-7)=10

6 0
3 years ago
Assume a test for a disease has a probability 0.05 of incorrectly identifying an individual as infected (False Positive), and a
Nana76 [90]

Answer:

0.00002 = 0.002% probability of actually having the disease

Step-by-step explanation:

Conditional Probability

We use the conditional probability formula to solve this question. It is

P(B|A) = \frac{P(A \cap B)}{P(A)}

In which

P(B|A) is the probability of event B happening, given that A happened.

P(A \cap B) is the probability of both A and B happening.

P(A) is the probability of A happening.

In this question:

Event A: Positive test

Event B: Having the disease

Probability of having a positive test:

0.05 of 1 - 0.000001(false positive)

0.99 of 0.000001 positive. So

P(A) = 0.05*(1 - 0.000001) + 0.99*0.000001 = 0.05000094

Probability of a positive test and having the disease:

0.99 of 0.000001. So

P(A \cap B) = 0.99*0.000001 = 9.9 \times 10^{-7}

What is the probability of actually having the disease

P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{9.9 \times 10^{-7}}{0.05000094} = 0.00002

0.00002 = 0.002% probability of actually having the disease

6 0
3 years ago
The dot plot shows how many hours this week students in the band practiced their instruments. A dot plot titled Hours of Band Pr
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Answer: 13

Step-by-step explanation:

7 0
3 years ago
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