Data collected on the discharge of the Colorado River and the speed are given in the table:


Discharge (ft3) Speed
1.3 2.3
2.2 0.99
5.8 3.5
11 5
12 16
14 22
16 27
21 14
49 33
51 35


What is the value of the correlation coefficient and its interpretation?
0.76; There is a strong, positive association between discharge and speed.
0.87; There is a strong, positive association between discharge and speed.
−0.76; There is a strong, negative association between discharge and speed.
−0.87; There is a strong, negative association between discharge and speed.

Answer:

a) 0.0287 = 2.87% probability that three non-defective components in a batch of seven components.

b) 0.0336 = 3.36% probability that 8 non-defective components are drawn before the first defective component is chosen.

Step-by-step explanation:

A sequence of Bernoulli trials composes the binomial distribution.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

And p is the probability of X happening.

The probability that a selected component is non-defective is 0.8

This means that [tex]p = 0.8[/tex]

a) Three non-defective components in a batch of seven components.

This is P(X = 3) when n = 7. So

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 3) = C_{7,3}.(0.8)^{3}.(0.2)^{4} = 0.0287[/tex]

0.0287 = 2.87% probability that three non-defective components in a batch of seven components.

b) 8 non-defective components are drawn before the first defective component is chosen.

Now the order is important, so the we just multiply the probabilities.

8 non-defective, each with probability 0.8, and then a defective, with probability 0.2. So

[tex]p = (0.8)^8*0.2 = 0.0336[/tex]

0.0336 = 3.36% probability that 8 non-defective components are drawn before the first defective component is chosen.

Answer:

[tex]3(x - 6) - 8x = - 2 + 5(2x + 1) \\ 3x - 18 - 8x + 2 - 10x - 5 = 0 \\ = > - 15x - 21 = 0 = > - 15x = 21 = > x = - \frac{7}{5} [/tex]

Answer:

MNO no se estoy en 6th y no se pero esta es mi respuesta espero y me la saco bien

The  sequence of transformations T(–2, 4) ry-axis ry-axis T(2, –4) can be used to map triangle MNO onto M"N"O".

Statistics is the discipline that concerns the collection, organization, analysis, interpretation, and presentation of data.

The given sequence of transformations is:

T(–2, 4) - translation by (-2, 4)

ry-axis - reflection across the y-axis

ry-axis - reflection across the y-axis

T(2, –4) - translation by (2, -4)

We can check whether this sequence of transformations maps triangle MNO onto M"N"O" by applying each transformation to the coordinates of triangle MNO in order:

T(–2, 4) maps M(5,-4) to M'(3,0), N(3,-2) to N'(1,2), and O(1,-3) to O'(-1,1).

ry-axis reflects M'(-3,0) to M"(-3,0), N'(1,2) to N"(-1,2), and O'(-1,1) to O"(1,1).

ry-axis reflects M"(-3,0) back to M"(-3,0), N"(-1,2) back to N"(-1,2), and O"(1,1) back to O"(1,1).

T(2, –4) maps M"(-3,0) to M'(-1,-4), N"(-1,2) to N"(1,-2), and O"(1,1) to O"(3,-3).

The resulting coordinates M'(-1,-4), N'(1,-2), and O'(3,-3) are the coordinates of triangle M"N"O".

Therefore, the given sequence of transformations T(–2, 4) ry-axis ry-axis T(2, –4) can be used to map triangle MNO onto M"N"O".

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Answer:

x = 24

Step-by-step explanation:

3X +5 +2x-4 +2x +11 = 180

7x +12 = 180

7x = 180 - 12

7x = 168

7x/7 = 168/7

x =24

Answer:

The angles are adjacent and x=100

Answer:

Choice C

Step-by-step explanation:

You find the ratio, so every if 4 McDonalds is $28 thats 4:28

You find the unit rate 1:x

divide each side by 4 and the unit rate is 7. Graph c shows cordinate (1,7)

Answer:

x + y = 7 an equation to represe.

Answer: 3/4 + 7/12 - (-4) = 3/4 + 7/12 + 4 (two minuses make a plus)

3/4 + 7/12 + 4/1 = 9/12 + 7/12 + 48/12           (4 = 4/1 or 4 divided by 1)  

(to add the fractions the denominators need to be the same. Multiply both the denominator and numerator by the same number)

(9+7+48)/12 = 64/12 = 5 and 1/3 or 16/3

We can also get this answer by leaving the 4 as a whole number:

9/12 + 7/12 +4 = 16/12 + 4 = 1 and 1/3 + 4 = 5 and 1/3

If you put the sum in a calclator you also get 5 and 1/3.

Hope this helps :)

Answer:

$9.24

Step-by-step explanation:

1.68÷2=0.84

1.68×5+0.84=9.24

Answer:

-16/3 = -5.3333333333

Step-by-step explanation:

Answer:A

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

8/50 = 4/25

give the sinplest fraction answer

Answer:

Box-4 → (+)

Step-by-step explanation:

To find the value in the 4th box, we will expand the given logarithmic expression.

log₄x⁵y³ = log₄x⁵ + log₄y³

             = 5log₄x + 3log₄y

Therefore, each box will have the values as,

Box-1 → 5

Box-2 → log₄

Box-3 → x

Box-4 → (+)

Box-5 → 3

Box-6 → log₄

Box-7 → y

There is the (+) sign in Box-4.

Answer:

0.7880

Step-by-step explanation:

0.7883

Hope it helps!

Answer:

length = 8 ft

width = 5 ft

Step-by-step explanation:

width = w

length = w + 3

Area of rectangular garden = 40 square feet

length  *width = 40

(w + 3) *w = 40

w*w + 3*w = 40

w² + 3w = 40

w² + 3w - 40 = 0

w² + 8w - 5w - 8*5 = 0

w(w + 8) - 5 (w +8) =0

(w + 8) (w - 5) = 0

w - 5 = 0       {Ignore w + 8 =0, as measurement will not be in -ve}

w = 5 ft

l = 5 + 3

l = 8 ft

Answer:

3/12

Step-by-step explanation:

Answer:

2/6

Step-by-step explanation:

it is equal to 1/3. The others are equal to 1/4 and 1/24 so 1/3 is the largest

Bing + us = Bingus. That's all

Answer:

it's very hard lol

Bing+us

=Bingus

Step-by-step explanation:

oh my gawd... hope it's ryt

thanks lol

Answer: I'm assuming that there were multiple choices provided for this question.. but just to help you, when a number is within the absolute value, it changes any number to a positive:

|-2.6| = 2.6

So any number higher than that work for this question :-)

Answer:

I don't know if your ask which nomial it is but its a trinomial if that's what your asking

Answer:

6) 9 3/5

7) 1/50

8) 28/45

Step-by-step explanation:

6) 8÷5/6=8x6/5=48/5=9 3/5

7) 1/5÷10=1/50

8) 7/5÷9/4=7/5x4/9=28/45

Answer:

The point estimate for the true difference between the population means is of -2.62 years.

The 95% confidence interval for the difference between the true mean ages for cars owned by students and faculty is between -3.4 years and -1.84 years.

Step-by-step explanation:

Before building the confidence interval, we need to understand the central limit theorem, and subtraction between normal variables.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean [tex]\mu = p[/tex] and standard deviation [tex]s = \sqrt{\frac{p(1-p)}{n}}[/tex]

Subtraction of normal variables:

When we subtract normal variables, the mean is the subtraction of the mean, while the standard deviation is the square root of the sum of variances.

A sample of 138 cars owned by students had an average age of 5.13 years. The population standard deviation for cars owned by students is 3.45 years.

This means that:

[tex]\mu_{s} = 5.13, \sigma_{s} = 3.45, n = 138, s_s = \frac{3.45}{\sqrt{138}} = 0.2937[/tex]

A sample of 111 cars owned by faculty had an average age of 7.75 years.  The population standard deviation for cars owned by faculty is 2.08 years.

This means that [tex]\mu_{f} = 7.75, \sigma_{f} = 2.08, n = 111, s_f = \frac{2.08}{\sqrt{111}} = 0.2658[/tex]

Difference between the true mean ages for cars owned by students and faculty.

s - f

Mean:

[tex]\mu = \mu_s - \mu_f = 5.13 - 7.75 = -2.62[/tex]

This is the point estimate for the true difference between the population means.

Standard deviation:

[tex]s = \sqrt{s_s^2+s_f^2} = \sqrt{0.2937^2+0.2658^2} = 0.3961[/tex]

Confidence interval:

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 Ztable as such z has a pvalue 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 = zs = 1.96*0.3961 = 0.78[/tex]

The lower end of the interval is the sample mean subtracted by M. So it is -2.62 - 0.78 = -3.4

The upper end of the interval is the sample mean added to M. So it is -2.62 + 0.78 = -1.84

The 95% confidence interval for the difference between the true mean ages for cars owned by students and faculty is between -3.4 years and -1.84 years.

The area of a circle is pi times the radius squared (A = π r²).

Answer:

by now you should have the answer right?

Step-by-step explanation:

Answer:

80°C

Step-by-step explanation:

you will say :

(176-33) x 5/9 = 70

Answer:

I don't know thats hard um well yeah

Answer:

1. x = 14

2. c = 12

3. d = 4

4. w = 8

5. z = 54

6. d = 20

7. n = 26.4

8. k = 15

Step-by-step explanation:

Answer:

I got you rn

Step-by-step explanation:

its 42 because opposite angles are congruent

Answer:

Step-by-step explanation:

z = 53 + 39     {Exterior angle property of triangle}

z = 92°