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harkovskaia [24]
3 years ago
15

I need some help with this question. It says: expand and simplify 5(x + 7) + 3(x - 2)

Mathematics
1 answer:
Tanya [424]3 years ago
5 0

Answer:

8x+29

Step-by-step explanation:

open the brackets the collect like terms together

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Past records indicate that the probability of online retail orders that turn out to be fraudulent is 0.08. Suppose that, on a gi
Sunny_sXe [5.5K]

Answer:

The probability that there are 2 or more fraudulent online retail orders in the sample is 0.483.

Step-by-step explanation:

We can model this with a binomial random variable, with sample size n=20 and probability of success p=0.08.

The probability of k online retail orders that turn out to be fraudulent in the sample is:

P(x=k)=\dbinom{n}{k}p^k(1-p)^{n-k}=\dbinom{20}{k}\cdot0.08^k\cdot0.92^{20-k}

We have to calculate the probability that 2 or more online retail orders that turn out to be fraudulent. This can be calculated as:

P(x\geq2)=1-[P(x=0)+P(x=1)]\\\\\\P(x=0)=\dbinom{20}{0}\cdot0.08^{0}\cdot0.92^{20}=1\cdot1\cdot0.189=0.189\\\\\\P(x=1)=\dbinom{20}{1}\cdot0.08^{1}\cdot0.92^{19}=20\cdot0.08\cdot0.205=0.328\\\\\\\\P(x\geq2)=1-[0.189+0.328]\\\\P(x\geq2)=1-0.517=0.483

The probability that there are 2 or more fraudulent online retail orders in the sample is 0.483.

5 0
4 years ago
PLEASE HELP!!!!
Semmy [17]
You should put 4 as x, -3 as y and a as slope to make an equation :
- 3 =  a \times 4
then you can find the slope and the correct equation of the line :

the slope is :
- 3 = 4a \\ a =  \frac{ - 3}{4}
so the equation of the line will be
y =  \frac{ - 3}{4}  x
D is true
hope this helps
5 0
3 years ago
-5
Iteru [2.4K]

Answer:

a

Step-by-step explanation:

4 0
3 years ago
Can I have help I am stuck on this problem It would mean the world if u helped me and tysm!! =-)
Yuki888 [10]

Answer:

656.3844

Step-by-step explanation:

Area of squares = s^{2}

<em>s = measure of a side, all sides are the same. </em>

<em />25.62^{2}<em> use a calculator </em>

<em />

3 0
3 years ago
We would like to estimate the proportion of UF students who owns a scooter to within 1% of the truth, with 95% confidence. We do
professor190 [17]

Answer:

Option A) 9604

Step-by-step explanation:

We are given the following in the question:

Confidence level = 95%

Standard error = 1%

p = q = 0.5

Formula for sample size:

n = (z_{stat}\times \dfrac{p(1-p)}{\text{Standard error}})^2

z_{critical}\text{ at}~\alpha_{0.05} = 1.96

Putting values, we get,

n = (1.96\times \dfrac{0.5(1-0.5)}{0.01})^2 = 9604

Thus, the sample size must be

Option A) 9604

8 0
3 years ago
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