A scientist studying water quality measures the lead level in parts per billion (ppb) at each of 49 randomly chosen locations along a water line. Suppose that the lead levels across all the locations on this line are strongly skewed to the right with a mean of 17 ppb and a standard deviation of 14 ppb. Assume that the measurements in the sample are independent. What is the probability that the mean lead level from the sample of 49 measurements T is less than 15 ppb? Choose 1 answer: A) Plæ <15) = 0.02 B) Plū<15) – 0.16 C) Plē <15) 0.30 D) Plö < 15) – 0.44 E) We cannot calculate this probability because the sampling distribution is not normal.

Answer:

Step-by-step explanation:

This is a test of 2 independent groups. The population standard deviations are not known. Let μ1 be the mean compression strength from the extra carbonation of strawberry drink and μ2 be the mean compression strength from the extra carbonation of cola.

The random variable is μ1 - μ2 = difference in the mean compression strength from the extra carbonation of strawberry drink and the mean compression strength from the extra carbonation of cola.

We would set up the hypothesis.

The null hypothesis is

H0 : μ1 = μ2 H0 : μ1 - μ2 = 0

The alternative hypothesis is

H1 : μ1 < μ2 H1 : μ1 - μ2 < 0

This is a left tailed test.

Since sample standard deviation is known, we would determine the test statistic by using the t test. The formula is

(x1 - x2)/√(s1²/n1 + s2²/n2)

From the information given,

x1 = 530

x2 = 553

s1 = 23

s2 = 16

n1 = 10

n2 = 10

t = (530 - 533)/√(23²/10 + 16²/10)

t = - 2.6

The formula for determining the degree of freedom is

df = [s1²/n1 + s2²/n2]²/(1/n1 - 1)(s1²/n1)² + (1/n2 - 1)(s2²/n2)²

df = [23²/10 + 16²/10]²/[(1/10 - 1)(23²/10)² + (1/10 - 1)(16²/10)²] = 6162.25/383.752

df = 16

We would determine the probability value from the t test calculator. It becomes

p value = 0.0097

Since alpha, 0.05 > than the p value, 0.0097, then we would reject the null hypothesis. Therefore, at 5% significance level, the data suggests that the extra carbonation of cola results in a higher average compression strength.

Answer:

a.

Probability of Diet Cola = 19/28

Probability of Lemonade = 4/28

Probability of Root Beer = 5/28

b. Theoretical Probability

Step-by-step explanation:

Given

Diet Cola = 19

Lemonade = 4

Root Beer = 5

Required

Probability the her next drink will be

- Diet Cola

- Lemonade

- Root beer

To calculate the probability of each of the above, first we need to calculate the total number of drinks she's had

Total = Diet Cola + Lemonade + Root Beer

Total = 19 + 4 + 5

Total = 28

The probability that her next drink can be any of the above can then be calculated.

This is calculated by dividing each outcome by the total; as follows;

Probability of Diet Cola = 19/28

Probability of Lemonade = 4/28

Probability of Root Beer = 5/28

This type of probability is referred to as theoretical probability because it makes predictions base on previous occurrence of events.

Answer:

v = 18

Step-by-step explanation:

3v-9=45

Add 9 to each side

3v-9+9=45+9

3v = 54

Divide each side by 3

3v/3 = 54/3

v =18

Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

In order for a line to have no y-intercept, it must be parallel to the y-axis. Its equation will be of the form ...

  x = constant.

If the x-intercept is (3, 0), then we must have constant = 3.

__

In order for a line to have no x-intercept, it must be parallel to the x-axis. Its equation will be of the form ...

  y = constant.

If the y-intercept is (0, -4), then we must have constant = -4.

__

The equation of line m is x = 3.

The equation of line n is y = -4.

Step-by-step explanation:

V∝I

V=kI

36=k*8

k=36/8

k=4.5

a. V=4.5I

b. V=4.5*14

V= 63

c. 27=4.5I

I=27/4.5

I= 6

Answer:

g(-9) = 1

Step-by-step explanation:

g(-9) is the value of the function at x = -9

Go over the x = -9 and go up until you hit the blue line

Read the value of y

g(-9) = 1

Answer:

7098

Step-by-step explanation:

For this we need to identify the area of the garden entirely and subtract the area of the parallelogram getting our land of grass.

1) 65*110=7150

2) 13*4=52

3) 7150-52=7098

Answer:

[tex]k=\frac{-cp+4r}{p}[/tex]

Step-by-step explanation:

[tex]r=p/4(c+k)[/tex]

[tex]\frac{r}{p/4} =c+k[/tex]

[tex]\frac{r}{p/4} -c=k[/tex]

[tex]-cp+4r=kp[/tex]

[tex]\frac{-cp+4r}{p} =k[/tex]

Answer:

Step-by-step explanation:

1. 90

2. 42,49

3. 2860

4. 13cm

5. 16-5=11

6. Sector

7. 1 whole no. 1 divided by 5

8. 7 and 4

9. 3/9

10.57.8

11. 19:20pm

12.

Answer:

B and C.

Step-by-step explanation:

just divide going all the way down starting from the number 4th spot. and if you get the same number each time, its exponential

Answer:

35

Step-by-step explanation:

30+20=50

50-15=35

(Brainliest helps)

Answer:

Answer on imagine math ;)

Step-by-step explanation:

√(7^2) + (9^2)

=√(49) + (81)

=√(130)

=11.401754251

Answer:

Range = {5, 8, 11}

Step-by-step explanation:

On the function f(x) = 3x + 2

For the first domain, when x = 1, f(x) = 3(1) + 2 = 3 + 2 = 5

For the second, when x = 2, f(x) = 3(2) + 2 = 6 + 2 = 8

For the third domain, when x = 3, f(x) = 3(3) + 2 = 9 + 2 = 11

Answer:

Annual net salary = $22,584

Step-by-step explanation:

Given:

Monthly wage = $2,350

Withheld paycheck = $468

Find:

Annual net salary = ?

Computation:

Total net salary = Monthly wage - Withheld paycheck

Total net salary = $2,350 - $468

Total net salary = $1,882

Annual net salary = Total net salary × 12

Annual net salary = $1,882 × 12

Annual net salary = $22,584

Answer:

$70.00 +/- $4.43

= ( $65.57, $74.43)

Therefore at 95% confidence interval (a,b) = ( $65.57, $74.43)

Step-by-step explanation:

Confidence interval can be defined as a range of values so defined that there is a specified probability that the value of a parameter lies within it.

The confidence interval of a statistical data can be written as.

x+/-zr/√n

Given that;

Sample Mean x = $70.00

Standard deviation r = $17.50

Number of samples n = 60

Confidence interval = 95%

z(at 95% confidence) = 1.96

Substituting the values we have;

$70.00+/-1.96($17.50/√60)

$70.00+/-1.96($2.259240285287)

$70.00+/-$4.428110959163

$70.00+/-$4.43

= ( $65.57, $74.43)

Therefore at 95% confidence interval (a,b) = ( $65.57, $74.43)

Answer:

I'm assuming that the range means the smallest number to largest number which will be 10 to 54

Step-by-step explanation:

Let x represent 1st number, y represent 2nd number and z represent 3rd number

rest of the working is in the picture attached. hope you understand it!

An outside angle is equal to the sum of the two opposite inside angles.

122 = x + 24

X = 122 - 24

X = 98 degrees

The right answer is of option C

Please see the attached picture for full solution

Hope it helps

Good luck on your assignment

Answer:

[tex] = 2 {x}^{3} - 11 {x}^{2} + 16x - 3 \\ [/tex]

Step-by-step explanation:

[tex](x - 3)(2 {x}^{2} - 5x + 1) \\ x(2 {x}^{2} - 5x + 1) - 3(2 {x}^{2} - 5x + 1) \\ 2 {x}^{3} - 5 {x}^{2} + x - 6 {x}^{2} + 15x - 3 \\ = 2 {x}^{3} - 11 {x}^{2} + 16x - 3[/tex]

hope this helps

brainliest appreciated

good luck! have a nice day!

Answer:

state A = 32 votes, state B = 53 votes

Step-by-step explanation:

Let the number of electoral votes for state A be a and state B be b

a  = b - 21

a + b = 85

Substituting a for b - 21 in the second equation

2b - 21 = 85

2b = 106

b = 53

Plugging b back in

85 - 53 = 32

the one that has 65 and 54, 3rd one

Answer:

Triangle three(bottom left corner)

Step-by-step explanation:

We know one angle must be 61, as it is given. The other angle can be found by subtracting 126 from 180.

So 180-126 = 54

So the two angles we are looking for are 61 and 54.

However none of the triangles have that those numbers, so we must find the third side. Using that the sum of the angles must be 180,

180-61-54 = 65

So the third angles must be 65

So now we look for the triangle that has 2 of the following: 65, 54, 61

Triangle 3 fits this.

What's the question asking? 12a+15(18)?

Answer:

the answer is 3

Step-by-step explanation:

Answer:

166.67 in³

Step-by-step explanation:

If the top of the pyramid is at half of the height of 10 cm tall cube, the height of the pyramid (h) is 5 inches.

Assuming that the base of the pyramid is the same as the base of the cube, the volume of the square pyramid is given by:

[tex]V=\frac{1}{3}*B*h[/tex]

Where B is the area of the square base:

[tex]V=\frac{1}{3}*(10*10)*5\\ V=166.67\ in^3[/tex]

The volume of the square pyramid inside the cube is 166.67 in³.

Answer:I believe it's C

Step-by-step explanation:

Answer:

A) Silvie is incorrect; the sum of a rational number and an irrational number is always irrational

Step-by-step explanation:

The concept of adding rational and irrational numbers states that the result will always be irrational.

Take for instance the addition of 4.5 and 3.142857

4.5 is a rational number because it can easily be expressed in fractions while 3.142857 is irrational because it can't be expressed as a simple fraction.

The addition of these two numbers gives 7.642857

7.642857 is an irrational number.

Similarly, any sum of two numbers (rational and irrational) will always result in irrational number.

Hence, Silvie is incorrect.

Answer:

A.

Step-by-step explanation:

Silvie is incorrect; the sum of a rational number and an irrational number is always irrational

Answer:

Step-by-step explanation:

Hello!

The variable of interest is

X: pulse rate of a female adult. (beats/min)

Mean X[bar]= 74.0 beats/min

Standard deviation S= 12.5 beats/min

The lowest pulse rate is 36 beats/min

a)

The difference between the lowest pulse rate and the mean pulse for females is: 36 - 74= -38 beats/min

b)

To calculate how many standard deviations a value of the variable is from the mean, you have to subtract the mean from it and divide by the standard deviation:

(X-X[bar])/S= (36-74)/12.5= -3.04

The minimum pulse for female adults is -3.04 standard deviations away from the mean.

c)

The z score for 36 beats/min is -3.04

Considering the region of acceptance (-2; 2), the calculated value is below its lower limit, so you can conclude that the pulse rate 36 beats/min is significantly low.

I hope this helps!

Answer:

(3,2)

Step-by-step explanation:

The solution of lines on a coordinate plane is its intersection point. In this case its (3,2)

Answer: B

Step-by-step explanation:

To find the answer, you add the two equations together

Answer:

A. x - 3

Step-by-step explanation:

Set it up like this:

(3x - 2) - (2x + 1)

Combine like terms:

3x - 2 - 2x - 1

3x - 2x = x

-2 - 1 = -3

Put it together:

x - 3

Answer:

[tex] y =mx +b[/tex]

Where m is the slope and b the intercept.

Using the information given the variable cost 5.5 per hour represent the slope and the fixed cost 10 represent the value of b and then our model would be given by:

[tex] y =5.5 x+ 10[/tex]

Wher y is the total cost and x the hours rented

Step-by-step explanation:

For this case we want to model the situation with a general equation given by:

[tex] y =mx +b[/tex]

Where m is the slope and b the intercept.

Using the information given the variable cost 5.5 per hour represent the slope and the fixed cost 10 represent the value of b and then our model would be given by:

[tex] y =5.5 x+ 10[/tex]

Wher y is the total cost and x the hours rented