Lilly was working on a report on Italian and Spanish scientists. She decided to find a 96 percent confidence interval for the difference in mean age at the time of significant scientific discoveries for Italian versus Spanish scientists. She found the ages at the time of science discovery of all the members of both groups and found the 96 percent confidence interval based on a t-distribution using a calculator. The procedure she used is not appropriate in this context because
The entire population is measured in both cases, so the actual difference in means can be computed and a confidence interval should not be used.
The sample sizes for the two groups are not equal.
Age at the time of science discovery occurs at different intervals in the two countries, so the distribution of ages cannot be the same.
Age at the time of science discovery is likely to be skewed rather than bell shaped, so the assumptions for using this confidence interval formula are not valid.
Age at the time of science discovery is likely to have a few large outliers, so the assumption for using this confidence interval formula is not valid.
A t statistic was used to conduct a test of the null hypothesis H0: µ = 11 against the alternative Ha: µ ? 11, with a p-value equal to 0.042. A two-sided confidence interval for µ is to be considered. Of the following, which is the largest level of confidence for which the confidence interval will NOT contain 11?
A. A 90% confidence level
B. A 92% confidence level
C. A 96% confidence level
D. A 97% confidence level
E. A 98% confidence level

Answer:

The probability that Delta car batteries last between three and four years

P(36≤X≤48) = 0.5188

The percentage of that Delta car batteries last between three and four years

P(3≤X≤4) = 52%

Step-by-step explanation:

Step(i):-

Given that the sample size n =12 -volt car batteries

Let  'X' be a Random variable in a normal distribution

Given that mean of the normal distribution = 45 months

Given that the Standard deviation of the normal distribution = 8months

Step(ii):-

Let  X₁ = 3 years = 12 × 3 = 36 months

[tex]Z_{1} = \frac{x_{1} -mean}{S.D} = \frac{36-45}{8} = -1.125[/tex]

Let X₂ = 4 years  = 12 × 4 = 48 months

[tex]Z_{2} = \frac{x_{2} -mean}{S.D} = \frac{48-45}{8} = 0.375[/tex]

Step(iii):-

The probability that Delta car batteries last between three and four years

P(36≤X≤48) = P(-1.125≤Z≤0.375)

                   = P(Z≤0.375) - P(Z≤-1.125)

                   = 0.5 +A(0.375) - (0.5-A(1.125)

                   = 0.5 + 0.1480 - (0.5 -0.3708)

                  = 0.1480 + 0.3708

                 = 0.5188

Final answer:-

The probability that Delta car batteries last between three and four years

P(36≤X≤48) = 0.5188

The percentage of that Delta car batteries last between three and four years

P(3≤X≤4) = 52%

Answer:

I would say B

Step-by-step explanation:

sorry if the answer was wrong i am bad at math

9514 1404 393

Answer:

  (x -4)² +(y -2)² = 20

Step-by-step explanation:

The circle is the circumcircle of triangle OAB. Then OA will be a diameter if angle OBA is a right angle. We can check that by looking at the slopes of AB and BA.

  B-O = (6, 6)-(0, 0) = (6, 6)   ⇒   slope = Δy/Δx = 6/6 = 1

  A-B = (8, 4) -(6, 6) = (2, -2)   ⇒   slope = -2/2 = -1

These slopes have a product of -1, so OB ⊥ BA. The hypotenuse (OA) of ΔOBA is the diameter of the circle.

Then the midpoint of the hypotenuse is the center of the circle.

  C = (O +A)/2 = ((0, 0) +(8, 4))/2 = (4, 2)

The equation is ...

  (x -h)² +(y -k)² = r² . . . . . circle with center (h, k) and radius r

The radius is the distance from O to C, so is ...

  r² = 4² +2² = 20

and the equation of the circle is ...

  (x -4)² +(y -2)² = 20 . . . . equation of the circle

Answer:

83

Step-by-step explanation: st had this question

Length of a text can be measured with ruler. Therefore, option C is the correct answer.

Everything around us has a measurement value, from the amount of sugar you put in a cake to the size of a football field. Each thing is measured differently based on its length, weight, volume, or duration. With these measurements, the idea of "Metric System" is introduced.

A ruler, sometimes called a rule, line gauge, or scale, is a device used in geometry and technical drawing, as well as the engineering and construction industries, to measure distances or draw straight lines.

Length of a text can be measured with ruler.

Therefore, option C is the correct answer.

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Answer:

C

Step-by-step explanation:

Answer:

See attachment for plot

Step-by-step explanation:

The attachment has enough information to solve for only question (4).

Solving (4), we have:

[tex]W = (-1,-1)[/tex]

[tex]X = (4,1)[/tex]

[tex]Y = (4,5)[/tex]

[tex]Z =(1,7)[/tex]

Required

Reflect over the x-axis

When a point (x,y) is reflected over the x-axis, the resulting point is (x,-y)

i.e.

[tex](x,y) => (x,-y)[/tex]

So, we have:

[tex]W = (-1,-1)[/tex] ==> [tex]W' =(-1,1)[/tex]

[tex]X = (4,1)[/tex] ==>[tex]X' = (4,-1)[/tex]

[tex]Y = (4,5)[/tex] ==> [tex]Y' =(4,-5)[/tex]

[tex]Z =(1,7)[/tex] ==> [tex]Z' = (1,-7)[/tex]

So, we plot on a grid, the following points:

[tex]W' =(-1,1)[/tex]

[tex]X' = (4,-1)[/tex]

[tex]Y' =(4,-5)[/tex]

[tex]Z' = (1,-7)[/tex]

See attachment for plot

Answer:

Try B

Step-by-step explanation:

Answer:

1 goes to 2

2 goes to 4

3-goes to 1

and 4 goes to 3

Step-by-step explanation:

Answer:

28.26 in

Step-by-step explanation:

Radius = (1/2) diameter

Radius = (1/2)(9)

Radius = 4.5 in

Circumference = 2πr

Circumference = 2(3.14)(4.5)

Circumference = 28.26 in

Answer:

6 inches

Step-by-step explanation:

If 3 blocks equals 2 inches, then we must first find out how many times 3 can fit into 9. We do this by dividing 9 by 3 to get 3. To get your final answer just multiply 2 by 3 and you will get 6 inchs. I hope this helped :0

Answer: 18 + 6a + 6b

Step-by-step explanation:

Answer:

15.1666666667

Step-by-step explanation:

Step-by-step explanation:

ln((sin(x))^3)'

Chen Lu

= (((sin(x))^3)' / (sin(x))^3

Chen Lu

=(3sin²(x)cos(x)/ (sin(x))^3

= 3cos(x)/sin(x)

=3cot(x)

Answer:

x = 1

Step-by-step explanation:

4x - 5/5 = 3

4x - 1 = 3

add 1 to each side of the equation:

4x = 4

divide both sides by 4:

x = 1

Answer:

4x=3+5/5

Step-by-step explanation:

like term

4x=8/5

20x/20=8/20

x=2/5

Answer:

10075302

Indian System -

1,00,75,302

One crore seventy-five thousand three hundred and two.

International System -

10,075,302

Ten million seventy five thousand three hundred and two.

Smallest Number -

10002357.

Answer:

Select a card from a set of cards with the letters A through D, then spin this once.

Spin this and roll an 8-sided number cube with the digits 1 to 8.

Answer:the first one opn and qps

Step-by-step explanation:

Answer:

f(x)= 2 ³√x+4

Step-by-step explanation:

Thats the answer

The equation of the function is f(x) = 2∛x -4.

In mathematics, a function is an expression, rule, or law that establishes the relationship between an independent variable and a dependent variable. In mathematics, functions exist everywhere, and they are crucial for constructing physical links in the sciences.

We will take two points from the graph substitute in each function.

So, the points are (0, -4) and (1, -2).

1. f(x) = ∛x -4

For x= 0

f(x) = ∛0 -4 = -4

and, For x= 1

f(x) = ∛1 -4 = 1 -4 = -3  (False)

2. f(x) = 2∛x -4

For x= 0

f(x) = 2∛0 -4 = -4

and, For x= 1

f(x) = 2∛1 -4 = 2 -4 = -2 (True)

3. f(x) = 2∛x +4

For x= 0

f(x) = 2∛0+4 = 4

and, For x= 1

f(x) = 2∛1 +4 = 2+4 = 6 (False)

4. f(x) = ∛x +4

For x= 0

f(x) = ∛0 +4 = 4

and, For x= 1

f(x) = ∛1 +4 = 1 +4 = 5 (False)

Thus, the required function is f(x) = 2∛x -4.

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Answer:

113

Step-by-step explanation:

Answer:

(9-8i)(-6,-15i) = -174 + 183 i

Step-by-step explanation:

Explanation:-

Given that  the complex numbers

                           (9-8i)(-6,-15i)

multiply           ( 9-8i ) ( -6 -15i)

               =  -54 - 9(-15 i) + 48 i +  120(i)²

               =   -54 + 135 i + 48 i - 120

              =    -174 + 183i

Final answer:-

(9-8i)(-6,-15i) = -174 + 183 i

Step-by-step explanation:

Given that,

Half of Robert's piece of wire is equal to of Maria's wire i.e.

[tex]\dfrac{R}{2}=M[/tex] ....(1)

Total length of the wires = 10 feet

ATQ,

[tex]R+M=10[/tex] ....(2)

Use equation (1) in (2).

[tex]R+\dfrac{R}{2}=10\\\\\dfrac{3R}{2}=10\\\\R=\dfrac{20}{3}\\\\R=6.67\ ft[/tex]

So,

[tex]M=\dfrac{6.67}{2}\\\\M=3.33\ ft[/tex]

Hence, this is the required solution.

Answer:

=0.1428571428751

I hope it's helps you

Answer:

-77.625

Step-by-step explanation:

How to find

To evaluate an algebraic expression means to find the value of the expression when the variable is replaced by a given number. To evaluate an expression, we substitute the given number for the variable in the expression and then simplify the expression using the order of operations. Therefore, the value of the expression 6 3/4 (- 11.5) is -77.625.

Answer:

X = 5.9 (in degree mode)

Step-by-step explanation:

Do the following:

12(tan26) = X

Plugging this into a calculator, you will get:

X = 5.9 (in degree mode)

Answer:

Step-by-step explanation:

I think it could be D

Sorry if not correct