I need help please and thank you in advance

Answer:

The 90% confidence interval is  [tex] 2.47<\mu < 2.59 [/tex]

Step-by-step explanation:

From the question we are told that

   The sample size is  n =  6

   The sample mean is  [tex]\= x = 2.53 \ mm[/tex]

   The standard deviation is  [tex]\sigma  =  0.090\ mm[/tex]

Given that the confidence level is 90% then the level of significance is  

        [tex]\alpha =  (100 - 90)\%[/tex]

=>     [tex]\alpha =  0.10 [/tex]

Generally from the normal distribution table the critical value  of  [tex]\frac{\alpha }{2}[/tex] is  

   [tex]Z_{\frac{\alpha }{2} } =  1.645 [/tex]

Generally the margin of error is mathematically represented as  

      [tex]E =1.645 *  \frac{0.090 }{\sqrt{6} }[/tex]

=>   [tex]E = 0.060 [/tex]

Generally 90% confidence interval is mathematically represented as  

      [tex]\= x -E <  \mu <  \=x  +E[/tex]

      [tex]2.53  -0.060 <\mu < 2.53  + 0.060[/tex]

=>   [tex] 2.47<\mu < 2.59 [/tex]

Answer: 360

Step-by-step explanation:

310 + 50 = 360

Answer:

1710

Step-by-step explanation:

310 x 3 = 930

260 x 3 = 780

930 + 780 = 1710

Answer:

[tex]Average = 10[/tex]

Step-by-step explanation:

Given

[tex]First\ Three = 14[/tex] --- Average

[tex]Next\ Seven= 4[/tex] --- Average

Required

Determine the overall average

Represent the sum of the first three with x.

So:

[tex]\frac{x}{3} = 14[/tex]

Solve for x

[tex]x = 14 * 3[/tex]

[tex]x = 42[/tex]

Represent the sum of the next seven with y.

So:

[tex]\frac{y}{7} = 4[/tex]

Solve for y

[tex]y = 4 * 7[/tex]

[tex]y = 28[/tex]

The overall average is calculated as thus:

[tex]Average = \frac{x + y}{7}[/tex]

[tex]Average = \frac{42 + 28}{7}[/tex]

[tex]Average = \frac{70}{7}[/tex]

[tex]Average = 10[/tex]

Answer:

2

Step-by-step explanation:

If 5 friends are sharing the berries, how many pounds of berries does each friend receive? Is the answer to 3/4 divided by 2/5 greater than or less than 1.

Answer:

True

12+7>9(2-3)-8

19> (-9)-8

19>-17

Step-by-step explanation:

Answer:

12+7=19 and 9(2-3)-8=-17

Step-by-step explanation:

Complete Question

Because of the relatively high interest rates, most consumers attempt to pay off their credit card bills promptly. However, this is not always possible. An analysis of the amount of interest paid monthly by a bank's Visa cardholders reveals that the amount is normally distributed with a mean of 25 dollars and a standard deviation of 8 dollars. (Round all decimals to at least 3 places.) (a) What proportion of the bank's Visa cardholders pay more than 28 dollars in interest

Answer:

0.354

Step-by-step explanation:

We solve for z score in this question.

The formula is given as:

z = (x-μ)/σ, where

x is the raw score = $28

μ is the population mean = $25

σ is the population standard deviation = $8

z= 28 - 25/8

z = 0.375

P-value from Z-Table:

P(x<28) = 0.64617

P(x>28) = 1 - P(x<28)

= 1 - 0.64617

= 0.35383

Approximately to 3 decimal places = 0.354

The proportion of the bank's Visa cardholders pay more than 28 dollars in interest is 0.354.

Answer:The mixed number 2 3/7 can be converted to the improper fraction 17/7. The easiest way to do this is to multiply the denominator of the fraction (7 in...

Step-by-step explanation:

Answer:

x = 2/3

Step-by-step explanation:

To find x-intercept/zero, subtract y = 0

0 = 3x + 2

Move variable to the left-hand side and change its sign

-3 = 2

Divide both ides of the equation by - 3

x = - 2/3

Solution

x = - 2/3

Alternate form

x = - 0.6

Answer:

Step-by-step explanation:

the answer is 130.. because its a corresponding angles

that means corresponding angles are equal

Answer:

lol do you need help with anything

Step-by-step explanation:

the answer is k=4.6. hope this helps

Answer:

12-7=5

Step-by-step explanation: if you u need a equation for how much he has there u go

Answer:

you could do 27+x=30

Step-by-step explanation:

Answer:

1/4w + 3 the answer has to be 20 characters long so ignore this

Answer:

Step-by-step explanation:

Given

Required

Determine the distance for w weeks

This will be calculated using the following Arithmetic progression formula

Where

Substitute these values

Open Bracket

Collect Like Terms

Take LCM

Answer:

42

Step-by-step explanation:

Answer:

$42

Step-by-step explanation:

$10 * 3 canoes = $30

$4 * 3 hours = $12

30 + 12 = $42

Answer:

Step-by-step explanation:

Given

RS=9y+2, ST=2y+6, and RT= 52

The addition postulate is true for the number line.

RS+ST = RT

Substitute

9y+2+(2y+6) = 52

9y+2y+8 = 52

11y = 52-8

11y = 44

y = 44/11

y = 4

Find RS

RS = 9y+2

RS = 9(4)+2

RS = 36+2

RS = 38

Find ST:

ST = 2y+6

ST = 2(4)+6

ST = 8+6

ST = 14

Hence y = 4, RS = 38 and ST = 14

Answer:

B. Plant cell

Step-by-step explanation:

Prokaryotic cells do not contain an enclosed nucleus or chloroplast

Red blood cells do not contain chloroplast

Animal cells do not contain chloroplast

Answer:

 [tex]\mu_{x} = 0.8[/tex]

   [tex]\sigma  =  0.095  [/tex]  

  The shape of this sampling distribution is approximately normal

Step-by-step explanation:

From the question we are told that

  The population proportion is [tex]p = 0.8[/tex]

  The sample size is  n = 100

Generally the expected value of this sampling distribution is mathematically represented as

          [tex]\mu_{x} = p = 0.8[/tex]

Generally the standard deviation of this sampling distribution is mathematically represented as

    [tex]\sigma  =  \sqrt{ \frac{p(1- p )}{n } } [/tex]

=>  [tex]\sigma  =  \sqrt{ \frac{0.8 (1- 0.8 )}{100 } } [/tex]    

=>  [tex]\sigma  =  0.095  [/tex]      

Generally given that the sample is  large (i.e  n  >  30 ) and the standard deviation is finite then the shape of this sampling distribution is approximately normal

Answer:

16

Step-by-step explanation:

25x10⁶ = 2.5x10⁷=25000000

#Learn more

-34/51 in standard form​

brainly.in/question/12244412

1.333...percent

Hope it helps

Answer:

greater than

Step-by-step explanation:

1.994 is closer to 2 than 1.493 so it is greater!

Answer:

The coordinates of endpoint S are [tex]S(x,y) = (8,-18)[/tex].

Step-by-step explanation:

Let [tex]T(x, y) = (0, 6)[/tex] and [tex]M(x,y) = (4,-6)[/tex], which is the midpoint of line segment ST. From Linear Algebra we get that midpoint is the following vector sum of endpoints S and T. That is:

[tex]M(x,y) = \frac{1}{2}\cdot S(x,y) + \frac{1}{2}\cdot T(x,y)[/tex] (Eq. 1)

Now clear S in the previous expression:

[tex]S(x,y) = 2\cdot M(x,y) - T(x,y)[/tex] (Eq. 1b)

Then, the coordinates of point S are:

[tex]S(x,y) = 2\cdot (4,-6) - (0,6)[/tex]

[tex]S(x,y) = (8, -18)[/tex]

The coordinates of endpoint S are [tex]S(x,y) = (8,-18)[/tex].

hello,

y-coordinate is found by computing f(0)=c

so this is the point (0,c)

the vertex is found for x = -b/(2a)

[tex]f(\dfrac{-b}{2a})=\dfrac{ab^2}{4a^2}-\dfrac{b^2}{2a}+c\\\\=\dfrac{b^2-2b^2+4ac}{4a}\\\\=-\dfrac{b^2-4ac}{4a}[/tex]

So this is the point ( -2(2a), -(b^2-4ac)/(4a) )

thanks

The vertex of the parabolic graph is, [tex]\rm\left ( -4a, \dfrac{-b^2+4ac}{4a} \right ) \\\\[/tex]

Given that,

[tex]\rm f(x) = ax^{2} +bx+c[/tex]

We have to determine,

The y-coordinate of the vertex of the parabolic graph?

According to the equation,

The vertex of a parabola is the point at which the parabola passes through its axis of symmetry.

In case the coefficient of the x² term is positive, and then the vertex will be located at the lowest point on the graph, the point at the base of the “U”-shape.

On the contrary, if the coefficient of the x² term is negative, the vertex will be located at the highest point on the graph, at the top of the “U”-shape.

Therefore,

The vertex of the parabola of the given quadratic equation,

[tex]\rm f(x) = ax^{2} +bx+c[/tex]

The co-ordinate is founded when x = 0,

[tex]\rm f(x) = ax^{2} +bx+c\\\\\rm f(0) = a(0)^{2} +b(0)+c\\\\\rm f(0) = c[/tex]

Then, The vertex is found at point (0, c) at x = -b\2a,

[tex]\rm f \left (\dfrac{-b}{2a }\right) = a\left (\dfrac{-b}{2a }\right) ^2 + b \left (\dfrac{-b}{2a }\right) +c\\\\f \left (\dfrac{-b}{2a }\right) = a \left (\dfrac{b^2}{4a^2 }\right)- \left (\dfrac{b^2}{2a }\right) +c\\\\f \left (\dfrac{-b}{2a }\right) = \left (\dfrac{b^2}{4a }\right)- \left (\dfrac{b^2}{2a }\right) +c\\\\f \left (\dfrac{-b}{2a }\right) = \dfrac{b^2-2b^2+4ac}{4a}\\\\f \left (\dfrac{-b}{2a }\right) = \dfrac{-b^2+4ac}{4a}\\\\[/tex]

Hence, The vertex of the parabolic graph is, [tex]\rm\left ( -4a, \dfrac{-b^2+4ac}{4a} \right ) \\\\[/tex].

For more details refer to the link given below.

https://brainly.com/question/1254213

Answer:

ok in this case will represent the height with a the bells with b and the hypotenuse with c so it will be c squared is equals to a squared plus b squared 12 squared + 5 squared is equals to c squared 12 square is 144 while 5 squared is 25 when added it is 169 so csquared is equals to 169 to get c we find √ 169 source is equals to 13

Answer: 1 feet = 12 inches

1 cubic feet = 12^3 = 1728 cubic inches

15 cubic feet = (15)(1728) = 25,920 cubic inches

Answer:

A) s = $40 (in thousands of dollars)

B) point of diminishing returns is at;

(20, 2000) in thousands of dollars

Step-by-step explanation:

We are given the profit function as;

P = −0.1s³ + 6s² + 400

A) To maximize the profit, we need to find the first derivative and equate it to zero.

Thus;

dP/ds = -0.3s² + 12s

At dP/ds = 0, we have;

-0.3s² + 12s = 0

0.3s² = 12s

0.3s = 12

s = 12/0.3

s = $40 (in thousands of dollars)

B) To find the point of diminishing returns, we need to find the 2nd derivative of the given profit function and equate to zero.

Thus;

d²P/ds² = -0.6s + 12

At d²P/ds² = 0, we have;

-0.6s + 12 = 0

0.6s = 12

s = 12/0.6

s = 20

At s = 20,

P = −0.1(20)³ + 6(20)² + 400

P = -800 + 2400 + 400

P = 2000

Thus; point of diminishing returns is at;

(20, 2000) in thousands of dollars

Answer:

0.8152 ≤ p ≤ 0.8608

579

Step-by-step explanation:

Given the following :

Samples size n = 1000

Deaths within 10 years, p = 838

α = 95%

Construction a two way confidence interval:

p ± Zα/2 * √p(1-p) / n

point estimate p = 838/n = 838/1000 = 0.838

Z0.05/2 = Z0.025 = 1.96

0.838 - 1.96√0.838(1-0.838) / 1000

0.838 - 1.96*0.0116514 = 0.8152

0.838 + 1.96√0.838(1-0.838) / 1000

0.838 + 1.96*0.0116514 = 0.8608

0.8152 ≤ p ≤ 0.8608

b) Using the point estimate of p obtained from the preliminary sample, what sample size is needed to be 95% confident that the error in estimating the true value of p is less than 0.03

Error (E) = 0.03

To find the samome size, use the relation:

n = (Zα/2 / E)² * p(1-p)

n = (1.96/0.03)² * 0.838(1-0.838)

n = (1.96/0.03)² * 0.838 * 0.162

n = 4268.4444 * 0.838 * 0.162

n = 579.46

n = 579