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faltersainse [42]
3 years ago
8

Simplify completely the quantity x squared plus x minus 12 over quantity x squared minus x minus 20 divided by the quantity 3 x

squared minus 24 x
Mathematics
1 answer:
amm18123 years ago
4 0

Answer:

Answer: 4(x+1) over (x-5)

Step-by-step explanation:

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What is the next number in pattern from 2,9,28,65
galben [10]

Answer:

126

Step-by-step explanation:

2=1³+1

9=2³+1

28=3³+1

65=4³+1

=>5³+1=126

The rule is: n³+1

5 0
3 years ago
A newspaper published an article about a study in which researchers subjected laboratory gloves to stress. Among 215 vinyl​ glov
pickupchik [31]

Answer:

z=\frac{0.7-0.07}{\sqrt{0.385(1-0.385)(\frac{1}{215}+\frac{1}{215})}}=13.42  

p_v =P(Z>13.42)\approx 0  

So the p value is a very low value and using any significance level given \alpha=0.01 we se that p_v so we can conclude that we have enough evidence to reject the null hypothesis, and we can conclude that vinyl gloves have a greater virus leak rate than latex gloves at 1% of significance.

Step-by-step explanation:

Data given and notation  

n_{V}=215 sample of vinyl gloves selected

n_{L}=215 sample of latex gloves selected

p_{V}=0.7 represent the proportion of vynil gloves with leaked viruses

p_{L}=0.07 represent the proportion of latex gloves with leaked viruses

z would represent the statistic (variable of interest)  

p_v represent the value for the test (variable of interest)

Concepts and formulas to use  

We need to conduct a hypothesis in order to check if the vinyl gloves have a greater virus leak rate than latex gloves , the system of hypothesis would be:  

Null hypothesis:p_{V} \leq p_{L}  

Alternative hypothesis:p_{V} > \mu_{L}  

We need to apply a z test to compare proportions, and the statistic is given by:  

z=\frac{p_{V}-p_{L}}{\sqrt{\hat p (1-\hat p)(\frac{1}{n_{V}}+\frac{1}{n_{L}})}}   (1)

Where \hat p=\frac{X_{V}+X_{L}}{n_{V}+n_{L}}=\frac{0.7+0.07}{2}=0.385

Calculate the statistic

Replacing in formula (1) the values obtained we got this:  

z=\frac{0.7-0.07}{\sqrt{0.385(1-0.385)(\frac{1}{215}+\frac{1}{215})}}=13.42  

Statistical decision

Since is a one right tailed test the p value would be:  

p_v =P(Z>13.42)\approx 0  

So the p value is a very low value and using any significance level given \alpha=0.01 we se that p_v so we can conclude that we have enough evidence to reject the null hypothesis, and we can conclude that vinyl gloves have a greater virus leak rate than latex gloves at 1% of significance.

3 0
3 years ago
Read 2 more answers
What is the square root of 6​
mixas84 [53]
Square Root of 6: 2.449489742783178
Square Root of 6 in exponential form: (6)½ or (6)0.5
Square Root of 6 in radical form: √6
4 0
2 years ago
Question 7 il pont)<br> (2 +377)(2 – 377)
Elden [556K]

Answer:

142125

Step-by-step explanation:

Since we given two brackets to solve we will have to take the step by step procedure

So let's solve the question

(2+377)(2-377)

Let's start with the first bracket

(2+377)

It will give us 379

So let's solve the second bracket

(2-377)

It will give us -375

So back to the question

(379)(-375)

142125

So the final answer is 142125

3 0
3 years ago
If a Tyrannosaurus rex ate 3 dinosaurs each week, how many would he eat in 9 weeks?
Dafna11 [192]

Answer:

27

Step-by-step explanation:

3/1=x/9

cross multiply, or its just a ratio actually. 1:3 is equal to 9:27

8 0
3 years ago
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