Solve for x. Round to the nearest tenth of a degree, if necessary.

Answer:

1.)

H0 : p = 1/6

H1 : p > 1/6

2.)

Pvalue = 0.3029

3.)

No

Step-by-step explanation:

Probability of rolling 5 in a 6-sided die by chance :

Number of 5's = 1

Number of 6 = 6

p = 1/6

The Null hypothesis :

H0 : p = 1/6

Since Pedro thinks he'd roll more than just by chance ;

Alternative hypothesis :

H1 : p > 1/6

Given that :

n = 38 ` x = 5

Phat = x / n = 5 / 38

Teat statistic : (phat - p) / √p(1-p)/n

1-p = 1 - 1/6 = 5/6

phat - p = 5/38 - 1/6 = −0.035087

√p(1-p) /n = (1/6 * 5/6) / 30 = √0.0046296 = 0.0680

Test statistic = −0.035087 / √0.0046296 =

Test statistic = −0.515673

Using the Pvalue calculator :

Pvalue at 0.05 , 1 - tail = 0.3029

Pvalue = 0.3029

Hence, at α = 0.05

Pvalue > α ;

There is no evidence to support Pedro's claim

Answer:

.

Step-by-step explanation:

.

Answer:

Ok!

Step-by-step explanation:

Religion: the belief and worship in what is usually a god

Bones: pieces of hard whitish tissiue in a skeloton

Agriculture: the practice of farming

Artifacts: historical objects

Answer:

x² +x  -30

Step-by-step explanation:

A = length * width = (x+6)(x-5) = x² -5x+6x-30= x²+x -30

Answer:

90-30=60

Its 60 because its a right angle triangle

Answer:

The number of defective bulbs in the shipment should be around 15, give or take 4.

Step-by-step explanation:

For each bulb, there are only two possible outcomes. Either it is defective, or it is not. The probability of a bulb being defective is independent of any other bulb. This means that the binomial probability distribution is used to solve this question.

Binomial probability distribution

Probability of exactly x successes on n repeated trials, with p probability.

The expected value of the binomial distribution is:

[tex]E(X) = np[/tex]

The standard deviation of the binomial distribution is:

[tex]\sqrt{V(X)} = \sqrt{np(1-p)}[/tex]

Suppose the probability at a light bulb factory of a bulb being defective is 0.11

This means that [tex]p = 0.11[/tex]

Shipment of 133 bulbs:

This means that [tex]n = 133[/tex]

Mean and standard deviation:

[tex]E(X) = np = 133*0.11 = 14.63[/tex]

[tex]\sqrt{V(X)} = \sqrt{np(1-p)} = \sqrt{133*0.11*0.89} = 3.61[/tex]

Rounding to the nearest integers:

The number of defective bulbs in the shipment should be around 15, give or take 4.

210 - 30 = 180

180 ÷ 15 = 12

12 weeks

It would take her 12 weeks to pay for the DVD player.

Answer:

i need more informatiion

Step-by-step explanation:

Answer:

192 students

Step-by-step explanation:

60 randomly students surveyed

16 chose aquarium as their favorite field trip.

720 students in total.

[tex]\frac{16}{60}[/tex] = [tex]\frac{?}{720}[/tex] =

720 × 16 ÷ 60 =

192 students

Answer:

Arc AB = 8π

Step-by-step explanation:

Length of arc = central angle/360 × 2πr

Where,

Central angle = measure of arc AB = 144° (central angle theorem)

r = radius = 10

Length of arc AB = 144/360 × 2 × π × 10

= 8π

Answer:

It is B on edge

Step-by-step explanation:

Answer:

Step-by-step explanation:

Find the diagram attached

If W and X are the endpoints of a diameter on the circle, this means that arc WX is 180degres

Since the angle at the vertex is half the angle at the intercepted arcs.

<V = 1/2(arcWX)

4x+18 = 1/2*180

4x+18 = 90

4x = 90-18

4x = 72

x = 72/4

x = 18

Hence the value of x is 18

The required round of the time 97.5 is 98 seconds.

Given that,

Albert jumped 100 times in 97.5 seconds. To round off the time taken to the nearest second.​

The rounding of values is superseding a number with an inexact value that has a more ephemeral, more uncomplicated, or more direct representation.

In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication and division,

Here,
in 97.5 seconds 0.5 in the tenth place is close to 1,

So the round off the number will be 98 seconds,

Thus, the required round of the time 97.5 is 98 seconds.

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9514 1404 393

Answer:

  A.  0.949

Step-by-step explanation:

Use your favorite calculator or spreadsheet to compute the correlation coefficient.

  r ≈ 0.949

_____

Additional comment

The values of y generally increase as the values of x increase--with only one exception. This tells you the correlation coefficient is positive and fairly high. Of the two positive choices 0.901 and 0.949, the higher one is the better guess.

Answer:

Step-by-step explanation:

let the number be x %

according to the question the equation is

x% of 15=45

x/100*15=45

15x=45*100

x=4500/15

x=300

therefore x=300%

Answer:

An obtuse-angled triangle is a triangle in which one of the interior angles measures more than 90° degrees. In an obtuse triangle, if one angle measures more than 90°, then the sum of the remaining two angles is less than 90°.

Here, the triangle ABC is an obtuse triangle, as ∠A measures more than 90 degrees.

Answer:

3.33

Step-by-step explanation:

I just took the test! :D

The estimated margin of error, using standard deviation is 3.33.

The margin of error shows an estimated percentage, or that surrounds a guess related to the real value of the population. For example, a confidence interval that has a margin of error tells you that your findings will be within the real population value of the time.

Typically, the higher the standard deviation, the more dispersed the data is. Understanding standard deviation is an essential part of calculating the margin of error for your data. If you do not have the value for your sample data proportion.

Standard deviation describes variability within a single sample, while standard error describes variability across multiple samples of a population. Standard deviation is a descriptive statistic that can be calculated from sample data, while standard error is an inferential statistic that can only be estimated.

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Answer:

y = 0x + (-10) or y = 0x - 10

Step-by-step explanation:

y= 0x + b

-10= 0(3) + b

-10 = b

Which gives you the equation

y= 0x + (-10)

Answer:

B. 50

Step-by-step explanation:

180-80=100

100 divided by two equal angles is 50.

Step-by-step explanation:

30×5/18

25/3

=8.33 m/s

!!!!!!!!!

Answer:

I think the answer is 8.33 (rounded to 2 decimal points)

Answer:

let p be the population proportion of parents who had children in grades k-12 were satisfied with the quality of education the students receive.

Step-by-step explanation:

none of the above

Step-by-step explanation:

SSS - only two legs are defined so this doesn't apply

SAS - the two legs of one triangle are not proportional to the legs of the other triangle.

AA - only one angle is defined to be congruent to the other (the rule requires two)

Answer:

f(-2) =3

Step-by-step explanation:

f(x) = 9+3x

Let x=-2

f(-2) = 9+3(-2)

      = 9-6

      = 3

f ( -2 ) = 9 + 3( - 2 )

f ( -2 ) = 9 - 6

f ( -2 ) = 3

Answer:

336+76+48+38= 498

Step-by-step explanation:

add all those sides up because it is just the perimeter

Answer:

336+76+48+38= 498

Step-by-step explanation:

Answer:

Q1 z(s) is in the rejection region for H₀ ; we reject H₀. We can´t support the that means have no difference

Q2  CI 95 %  =  (  0,056 ;  0,164 )

Step-by-step explanation:

Sample information for people under 18

n₁  =  500

x₁ =  180

p₁  =  180/ 500    p₁  =  0,36    then  q₁  =  1 -  p₁     q₁ =  0,64

Sample information for people over 18

n₂  =  600

x₂  =  150

p₂  =  150 / 600   p₂ =  0,25   then   q₂  =  1 - p₂   q₂ =  1 - 0,25   q₂ = 0,75

Hypothesis Test

Null hypothesis                        H₀              p₁  =  p₂

Alternative Hypothesis           Hₐ              p₁  ≠  p₂

The alternative hypothesis indicates that the test is a two-tail test.

We will use the approximation to normal distribution of the binomial distribution according to the sizes of both samples.

Testin at CI =  95 %    significance level is  α = 5 %   α  =  0,05  and

α/ 2  =  0,025   z (c) for that α  is from z-table:

z(c) = 1,96

To calculate   z(s)

z(s)  =  ( p₁  -   p₂ ) / EED

EED = √(p₁*q₁)n₁  +  (p₂*q₂)/n₂

EED = √( 0,36*0.64)/500  +  (0,25*0,75)/600

EED = √0,00046  +  0,0003125

EED = 0,028

( p₁  -  p₂  )  =  0,36  -  0,25  = 0,11

Then

z(s)  =  0,11 / 0,028

z(s) = 3,93

Comparing  z(s) and  z (c)    z(s) > z(c)

z(s) is in the rejection region for H₀ ; we reject H₀. We can´t support the idea of equals means

Q2  CI  95 %   =  (  p₁  -  p₂  ) ±  z(c) * EED

CI 95%  =  ( 0,11   ±  1,96 * 0,028 )

CI 95%  = (  0,11  ±  0,054 )

CI 95 %  =  (  0,056 ;  0,164 )

Answer:

97 students must be randomly selected for IQ tests.

Step-by-step explanation:

We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:

[tex]\alpha = \frac{1 - 0.95}{2} = 0.025[/tex]

Now, we have to find z in the Z-table as such z has a p-value of [tex]1 - \alpha[/tex].

That is z with a pvalue of [tex]1 - 0.025 = 0.975[/tex], so Z = 1.96.

Now, find the margin of error M as such

[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]

In which [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample.

The Standard Deviation is 15.

This means that [tex]\sigma = 15[/tex]

How many statistics students must be randomly selected for IQ tests if we want 95% confidence that the sample mean is within 3 IQ points of the population mean?

This is n for which M = 3. So

[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]

[tex]3 = 1.96\frac{15}{\sqrt{n}}[/tex]

[tex]3\sqrt{n} = 1.96*15[/tex]

Simplifying both sides by 3

[tex]\sqrt{n} = 1.96*5[/tex]

[tex](\sqrt{n})^2 = (1.96*5)^2[/tex]

[tex]n = 96.04[/tex]

Rounding up(as with a sample size of 96 the margin of error will be slightly above 3):

97 students must be randomly selected for IQ tests.

4/15 !! hope it helps loll

Area is length x width

Area = 2/5 x 3/4

When multiplying fraction, multiply the numerators by each other and the denominators by each other:

Area = 2/5 x 3/4 = (2 x3)/(5 x 4) = 6/20

6/20 reduces to 3/10

Area = 3/10 square yards