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2 years ago

13

The long division below shows the first term of the quotient. Which polynomial should be subtracted from the dividend first? x +

2 StartLongDivisionSymbol x cubed + 3 x squared + x EndLongDivisionSymbol to get a quotient of x squared

1 answer:

pychu [463]2 years ago

6 0

Answer:

9x² - 6x

Step-by-step explanation:

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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

2 years ago

Read 2 more answers

17 - 2n = 9 what’s the answer ?

BlackZzzverrR [31]

Step 1: Simplify both sides of the equation.

17−2n=9

17+−2n=9

−2n+17=9

Step 2: Subtract 17 from both sides.

−2n+17−17=9−17

−2n=−8

Step 3: Divide both sides by -2.

−2n−2=−8−2

n=4

8 0

2 years ago

g Programs submitted by programs in a computer science course are examined for syntax errors and logic errors. Suppose 36% of al

Llana [10]

Answer:

The answer is below

Step-by-step explanation:

Let S denote syntax errors and L denote logic errors.

Given that P(S) = 36% = 0.36, P(L) = 47% = 0.47, P(S ∪ L) = 56% = 0.56

a) The probability a program contains both error types = P(S ∩ L)

The probability that the programs contains only syntax error = P(S ∩ L') = P(S ∪ L) - P(L) = 56% - 47% = 9%

The probability that the programs contains only logic error = P(S' ∩ L) = P(S ∪ L) - P(S) = 56% - 36% = 20%

P(S ∩ L) = P(S ∪ L) - [P(S ∩ L') + P(S' ∩ L)] =56% - (9% + 20%) = 56% - 29% = 27%

b) Probability a program contains neither error type= P(S ∪ L)' = 1 - P(S ∪ L) = 1 - 0.56 = 0.44

c) The probability a program has logic errors, but not syntax errors = P(S' ∩ L) = P(S ∪ L) - P(S) = 56% - 36% = 20%

d) The probability a program either has no syntax errors or has no logic errors = P(S ∪ L)' = 1 - P(S ∪ L) = 1 - 0.56 = 0.44

6 0

2 years ago

Read 2 more answers

If M is the set of all square of integers that are less than 100 and N is the set of all positive odd numbers that are under 15,

ollegr [7]

A set is simply the group of numbers.

<em>The set of M and N are: </em> $M = \{1,4,9,16,25,36,49,64,81\}$ <em> and </em> $N= \{1,3,5,7,9,11,13\}$ <em>.</em>
<em>The set of M n N is: </em> $M\ n\ N = \{1,9\}$ <em>.</em>
<em>The set of M u N is: </em> $M\ u\ N = \{1,3,4,5,7,9,11,13,16,25,36,49,64,81\}$ <em />

<u>(a) The set of M and N</u>

Given that:

M = squares of integers less than 100

N = Positive odd numbers less than 15

So, we have:

$M = \{1,4,9,16,25,36,49,64,81\}$

$N= \{1,3,5,7,9,11,13\}$

<u>(b) M n N and M u N</u>

M n N is the set of common elements between sets M and N.

So, we have:

$M\ n\ N = \{1,9\}$

M u N is the set of all elements in sets M and N.

So, we have:

$M\ u\ N = \{1,3,4,5,7,9,11,13,16,25,36,49,64,81\}$

Read more about sets at:

brainly.com/question/2332158

8 0

2 years ago

Each coach has 50 seats and there are 1030 supporters. How many coaches are needed to take all the supporters?

alisha [4.7K]

The answer would be to divide 1030 by 50 and you would get 21 coaches not 20 because 50x20=1000 and there are 30 remainder. Therefor, you would need that extra coach with some seats left to spare. so your answer is 21 coaches

6 0

3 years ago