3. What is the value of x​

Answer:

{$3.60; $3.68}

Step-by-step explanation:

The confidence interval for a sample of size 'n', with mean price 'X' and standard deviation 's' is determined by:

[tex]X\pm z*\frac{s}{\sqrt n}[/tex]

The z-score for a 95% confidence interval is 1.96.

Applying the given data, the lower and upper bounds of the confidence interval are:

[tex]3.64\pm 1.96*\frac{0.0835}{\sqrt 20} \\L=\$3.60\\U=\$3.68[/tex]

The confidence interval for the mean price received by farmers for corn sold in January is:

CI : {$3.60; $3.68}

Answer:

a) 135 seconds

b) 3.71 standard deviations below the mean

c) Z = -3.71

d) Unusual

Step-by-step explanation:

Z-score:

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this question:

[tex]\mu = 245, \sigma = 36.4[/tex]

a. What is the difference between a duration time of 110 sec and the mean?

Duration of 110 seconds.

Mean of 245

245 - 110 = 135 seconds

b. How many standard deviations is that (the difference found in part (a))?

This is |Z|

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{110 - 245}{36.4}[/tex]

[tex]Z = -3.71[/tex]

[tex]|Z| = 3.71[/tex]

3.71 standard deviations below the mean

c. Convert the duration time of 110 sec to a z score

From b, Z = -3.71

d. If we consider "usual" duration times to be those that convert to z scores between -2 and 2, is a duration time of 110 sec usual or unusual?

Z is not in the interval of -2 and 2, so a duration time of 110 sec is unusual

i think it is ur required ans..

Answer:

$420 U.S. dollars = $570.25 Canadian dollars

1 U.S. dollar = 1.36 Canadian dollars

Therefore, to find the answer you would multiply $420 by 1.36.

There are 6 total cards. There is one 5 and one 7

You have a 1/6 probability of picking each number.

The probability of picking the 5 then the 7 would be 1/6 x 1/6 = 1/36

Answer:

m = 0.5

Step-by-step explanation:

m = (y2 - y1) / (x2 - x1)

= (0.25 - 0) / (0.5 - 0)

= 0.25/0.5

= 0.5

Answer:

dy/dx at x=6 is 0.334

Step-by-step explanation:

The center difference method requires that the values of the function are given in equal intervals which is the case, and allows one to find the value for x = 6 using those of the function for x = 5.5 and for x = 6.5 as follows:

[tex]\frac{dy}{dx} =\frac{3.7436-3.4096}{6.5-5.5} =0.334[/tex]

Answer:

y= 5x

Step-by-step explanation:

15x - 3y =0

3y= 15x

y= 5x - slope- intercept form

Answer:

a

Step-by-step explanation:

y=5x

Answer:

12/22

24/44

Step-by-step explanation:

To simply find fractions that are equivalent, just multiply both top-bottom with any same number and you will find a non-simplified version of your fraction (which are equal to it).

Answer:

  $3577.20

Step-by-step explanation:

You can save 11% of your income each month, so in 12 months, you can save ...

  12×0.11×$2710 = $3577.20

Answer:

42 m

Step-by-step explanation:

First, find <S

<S = 180 - (41+113) [ sum of angles in a triangle)

<S = 180 - 154 = 26°

Next is to find length of ST, using the law of sines: a/sin A = b/sinc B = c/sin C

Let a = RT = 28m

A = <S = 26°

b = ST

B = <R = 41°

Thus, we have:

28/sin(26°) = b/sin(41°)

Cross multiply

28*sin(41°) = b*sin(26°)

28*0.6561 = b*0.4384

18.3708 = b*0.4384

Divide both sides by 0.4384 to make b the subject of formula

18.3708/0.4384 = b

41.9041971 = b

b ≈ 42m (rounded to nearest meter)

Length of ST to nearest meter = 42 meters

Answer:

Discriminant=8

Step-by-step explanation:

-x²+4x-2=0

here a=-1,b=4 and c=-2

Discriminant=b²-4ac

Discriminant=(4)²-4(-1)(-2)

Discriminant=16-8

Discriminant=8

i hope this will help you :)

Answer:

  x = 17.349

Step-by-step explanation:

The right-most x-intercept is 17.349, where the curve continues upward to the right.

Answer:

B. Yes, because it passes the vertical line test.

Step-by-step explanation:

The is a function.  It has a one to one correspondence

It will pass the vertical line test

Answer:

Rebekah, the height of a hemisphere is its radius. The volume of a sphere is 4/3 π r3. So the volume of a hemisphere is half of that: V = (2 / 3) π r3.

Answer:

V = (2 / 3) π r3.

Step-by-step explanation:

1/2 x 4/3 x π r3 = 2/3π r3

Answer:

$30 is the price of the original pair of sneakers.

Step-by-step explanation:

You wanna cross multiply so you put :

18. 60

_ = _

x. 100

You multiply 18 the cost of the sneakers by 100 and then divide the product (1800) by 60 and you get $30.

MARK ME AS BRAINLIEST!

Answer:

-2/5

Step-by-step explanation:

The slope of two parallel lines will be the same.

Here, our equation is 5y + 2x = 12. Let's find the slope by isolating y:

5y + 2x = 12

5y = -2x + 12

y = (-2/5)x + 12/5

So, the slope is -2/5.

Thus, the slope of the line parallel to the given one will be -2/5.

~ an aesthetics lover

Answer:

-2/5

Step-by-step explanation:

5y+2x=12

Solve for y

Subtract 2x

5y = -2x+12

Divide by 5

5y/5 = -2/5 x +12/5

y = -2/5x +12/5

The slope is -2/5

Parallel lines have the same slope

Answer:

A)No

B)NO

C)Yes

D)Yes

Step-by-step explanation:

A) 4 is not on the exterior of the line so it can not be an alternate exterior angle

B) 6 is not on the exterior of the line so it can not be an alternate exterior angle

C) they are both on the exterior and are on different sides of the line that is going through the two parallel lines

D they are also both on the exterior and are on different sides of the line that is going through the two parallel lines

Hope this helps :)

Answer:

-2 is greater than -2 1/2

Step-by-step explanation:

All the other questions are false and only answer a is correct because -2 is closer to 0 than -2 1/2.

Answer:

Step-by-step explanation:

B is wrong. This is because when you look on the number like you can see that the option for 1.5 is greater than one is false. This is because 1.5 is ahead of the 1 on the number line.

C is wrong. This is because the number 1 is greater than -1.5. The number one is ahead of the number -1.5.

D is wrong. D is wrong because when a smaller number is negative then it is bigger than a larger number that is negative. So -1.5 is smaller than -0.5.

So the answer is A. -2 is greater than -2.5. It can be proved because of the rule written that a smaller number is negative then it is bigger than a larger number that is negative. So -2.5 is smaller than -2. And the reciprocal is true. -2 is larger than -2.5.

Hope this helped,

Kavitha

Answer:

7/ (3a-1)

Step-by-step explanation:

3a^2 -13a +4        28+7a

------------------ * --------------------

9a^2 -6a+1         a^2 -16

Factor

(3a-1)(a-4)           7(4+a)

------------------ * --------------------

(3a-1) (3a-1)        (a-4)(a+4)

Cancel like terms

1                    7

------------------ * --------------------

(3a-1)                  1

Leaving

7/ (3a-1)

Answer:

The radioactive decay constant or  k = ln (.5) / Half-Life

Half-Life =  -.693147 / .00012

Half-Life = -5,776.225  years

We'll call beginning amount as 100%

Ending Amount = Beginning Amount / 2^n (where n = # of half-lives)

n = 4,050 / 5,776.225 = 0.7011499725

Ending Amount = 100% / 2^0.7011499725

Ending Amount = 100% / 1.625800202

Ending Amount = 61.5081729452%

Ending Amount = 61.5 % (rounded)

Step-by-step explanation:

Answer:

false.

I think .???

a null hypothesis doesn't matter regardless

Answer:

d

Step-by-step explanation:

Answer:

total area = 39.6 square units

Step-by-step explanation:

determine the inside angle

360 / 5 = 72°

half of the triangle = 36°

given:

adj = 3.3

Ф = 36°

length of the opp of a small triangle is = adj. tan Ф

opp = 3.3 * tan 36 = 2.4

area of a triangle = 1/2 b * h   x  2 tringles

area =( 1/2 * 2.4 * 3.3  ) * 2

area = 7.92  multiplied by 5 equal shapes

total area = 7.92 * 5

total area = 39.6 square units

hope this helps

Answer:

(D)Jaleel's method is correct because 2(x-2)=2x-4.

Step-by-step explanation:

Jaleel and Lisa are simplifying the expression 2(x-2)+2 as shown.

[tex]J$aleel's Method: \left\{\begin{array}{ccc}2 (x -2) + 2 \\= 2 x - 4 + 2 \\= 2 x - 2\end{array}\right[/tex]

[tex]L$isa's Method: \left\{\begin{array}{ccc}2 (x-2) + 2 \\= 2 x -2 + 2 \\= 2 x\end{array}\right[/tex]

We can see that Jaleel's method is correct because:

2(x-2)=2x-4.

When you expand, you must multiply the term outside by all the terms inside the bracket.

The correct option is D.

Answer:

Jaleel is correct because 2 (x minus 2) equals 2 x minus 4.

D is correct

Step-by-step explanation:

i just took the quiz.

Answer:

5249 years

Step-by-step explanation:

Half-Life of Carbon-14 is approximately 5730 years.

When we want to determine the age of a fossil using carbon dating, we use the formula:

[tex]t=\dfrac{\ln(N/N_0)}{-0.693} \cdot t_{1/2}[/tex]

Where:

In this case:

N(t)=100

[tex]N_o=53\\t_{1/2}\approx 5730$ years[/tex]

Therefore, the age of the mummy

[tex]t=\dfrac{\ln(53/100)}{-0.693} \cdot 5730\\=5249.43$ years\\t \approx 5249$ years[/tex]

Answer:

the answer is 6349 :)

Step-by-step explanation:

Someone put the correct answer in the comments so I figured I would put it here so you wouldn't miss it :) (It is correct I have tested it)

Answer:

The correct answer would be C

Step-by-step explanation:

please mark brainliest

The choice which best compares the volume of the cylinders is; Choice B; The volume of cylinder B is the same as that of cylinder A.

From geometry, It can be concluded that the volume of a solid shape is the product of its cross sectional area and the height over which the area spans. On this note, since the volume of a cylinder is dependent on the radius and height of the cylinder, both cylinders have equal volumes.

Read more on cylinders;

https://brainly.com/question/9554871

#SPJ2

Answer:

Step-by-step explanation:

The angle next to 90 degrees is also 90 degrees and it's supplementary

the angle next to 133 degrees is 47 degrees and it's also supplementary

p + 90 + 47 = 180

p + 137 = 180

p = 43 degrees

the solution is d

Answer:

8, 8, 13

Step-by-step explanation:

The three numbers 8, 8, 13 have a range of 5.

13 - 8 = 5

The mode is 8, the repeated number.

Answer:

need pls

Step-by-step explanation:

Answer:

The probability that the mean of my sample will be between 24 and 25 cm

P(24 ≤X⁻≤25) = 0.4772

Step-by-step explanation:

Step(i):-

Given mean of the Population  'μ'= 25c.m

Given standard deviation of the Population 'σ' = 8c.m

Given sample size 'n' = 256

Let X₁ = 24

[tex]Z_{1} = \frac{x_{1}-mean }{\frac{S.D}{\sqrt{n} } } = \frac{24-25}{\frac{8}{\sqrt{256} } } = -2[/tex]

Let X₂ = 25

[tex]Z_{2} = \frac{x_{2}-mean }{\frac{S.D}{\sqrt{n} } } = \frac{25-25}{\frac{8}{\sqrt{256} } } = 0[/tex]

Step(ii):-

The probability that the mean of my sample will be between 24 and 25 cm

P(24 ≤X⁻≤25) = P(-2≤ Z ≤0)

                     = P( Z≤0) - P(Z≤-2)

                     = 0.5 + A(0) - (0.5- A(-2))

                     = A(0) + A(2)        ( ∵A(-2) =A(2)

                     = 0.000+ 0.4772

                     = 0.4772

Final answer:-

The probability that the mean of my sample will be between 24 and 25 cm

P(24 ≤X⁻≤25) = 0.4772