For the sample standard deviation(s) for situations involving means, explain whether it affects the width of a confidence interval, the center of a confidence interval, neither, or both.

Step-by-step explanation:

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this is the link for explanation copy and paste it to see

Answer:

Step-by-step explanation:

4-3(6)-1

= 4 - 18 - 1

= 4 - 19

= -15 (Ans)

Answer:

C. No. The number of trials is not fixed.

Step-by-step explanation:

Binomial probability distribution

Probability of exactly x successes on n repeated trials, with p probability.

It is needed that:

In each trial, the probability of a success is the same, that is, the trials are independent.

A fixed number of trials.

The game is played until one of the contestants guesses it correctly.

This means that there is not a fixed number of trials, and thus, the binomial probability distribution cannot be used to solve this question, and the correct answer is given by option c.

Answer:

Step-by-step explanation:

Answer:.

75(b - 4) = 450

Step-by-step explanation:

Given that :

Total amount to spend on books = 450

Total number of books = b

Cost per book = 75

Number of free books = 4

Hence, the number of books sabah will have to pay for will be :

Total Number of books - number of free books

b - 4

Cost of books purchased will be ;

Cost per book * number of books ;

75 * (b - 4)

Total cost = 450

Hence, we have ;

75(b - 4) = 450

Answer:

look at pic

Step-by-step explanation:

Answer:

your answer is 12

I've answered it before and got it right

Answer:

Hello! answer: 3

Step-by-step explanation:

Perfect circles are 360 degrees

120 × 3 = 360 therefore the answer would be 3 Hope that helps!

Answer:

b

Step-by-step explanation:

Answer:

21x^3-32x^2+9x+2

Step-by-step explanation:

(3x²- 5x + 2)(7x + 1)

Distribute

7x* (3x²- 5x + 2) + 1 *(3x²- 5x + 2)

21 x^3 -35x^2 +14x + (3x²- 5x + 2)

Combine like terms

21x^3-32x^2+9x+2

Answer:

D. 21x³- 32x²+ 9x + 2

Step-by-step explanation:

( 3 x²- 5 x + 2 ) ( 7 x + 1 )

Using distributive property

7 x ( 3 x²- 5 x + 2 ) + 1 ( 3 x²- 5 x + 2 )

multiply,

21 x ³ - 35 x² + 14 x + 3 x² - 5 x + 2

arranging like terms together

21 x³ - 35 x² + 3 x² + 14 x - 5 x + 2

21 x ³ - 32 x² + 9 x + 2

9514 1404 393

Answer:

  90° CCW

Step-by-step explanation:

The slope of BA is -1/3. The slope of BA' is 3, so the slopes are opposite reciprocals of one another. These segments are perpendicular, meaning the angle between them is 90°.

Point A' has been rotated 90° CCW about point B.

Answer:

(2/1) indicates that the question can give a maximum ... To make chocolate for bars and candies, cocoa powder, cocoa butter and sugar ... if it contains 70 % cocoa? ... The figure shows 5 squares, each with the same area. ... a) How many grams of dark chocolate does she need if she wants to make ... makes 8 small harts.

Step-by-step explanation:

Answer:

Look below

Step-by-step explanation:

1: 19

2: 34

3: 63

4: 8

5: 52

6: 81

7: 4

8: 39

9: 18

Hope this helped :)

Answer:

39.279 grams

Step-by-step explanation:

Answer:

A) 4

Step-by-step explanation:

Area of a triangle formula:

A = 0.5bh

Given:

b = 4

h = 2

Work:

A = 0.5bh

A = 0.5(4)(2)

A = 2(2)

A = 4

Answer:

the answer is 10

Step-by-step explanation:

Answer:

54 cm^2

Step-by-step explanation:

side ( a ) = 3 cm

Formula : -

Surface area ( cube ) = 6a^2

Surface area ( cube )

= 6 x ( 3 )^2

= 6 x 9

= 54 cm^2

Answer:

54cm^2

Step-by-step explanation:

There are 6 sides in a cube. One of the sides should have the area of 9, because it's a cube and 3 * 3 is 9.

Considering that one side is [tex]9cm^{2}[/tex], the surface area should be 9 * 6, which is 54.

The surface area is 54cm^2.

Answer:

411

Step-by-step explanation:

Answer: the required principal value is $7,719.30

Step-by-step explanation:

Given: Formula to calculate interest : I= Prt, P=principal value, r = rate of interest, t = time.

I = $11,000

r= 9.5% = 0.095

t= 15 years

Substitute in formula, we get

[tex]11000=(P)\times (0.095)\times(15)\\\\\Righatrrow\ P=\dfrac{11000}{0.095\times15}\approx\$7719.30[/tex]

Hence, the required principal value is $7,719.30

Answer:

77

Step-by-step explanation:

Each girl would have to sell at least 77 boxes of cookies to get over 1,000.

1000 boxes divided by 13 girls is 76.9230... but round up to 77.

Check answer by multiplying 13 by 77 and you get 1,001.

:) ur welcome

Answer:

Step-by-step explanation:

Let each cell x boxes, then the sum is:

Answer:

a. 2

Step-by-step explanation:

Central Limit Theorem

The Central Limit Theorem establishes 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]

Standard deviation is known to be 14.

This means that [tex]\sigma = 14[/tex]

Sample of 49

This means that [tex]n = 49[/tex]

The standard error of the mean is

[tex]s = \frac{\sigma}{\sqrt{n}} = \frac{14}{\sqrt{49}} = \frac{14}{7} = 2[/tex]

So the correct answer is given by option a.

Answer:

Yes, 3 quarts is more than 3 pints

Step-by-step explanation:

2 pints make up 1 quart

Answer:

2a : f(-2) = 15

2b : f(2x) = 8x² - 2x + 5

2c : f(x-1) = 2x² - 5x + 8

3a : x > 1/3

3b : x <> {2,3}

4 : 6x

Step-by-step explanation:

2a.

2×(-2)² - (-2) + 5 = 2×4 + 2 + 5 = 15

2b.

2×(2x)² - 2x + 5 = 2×4x² - 2x + 5 = 8x² - 2x + 5

2c.

2×(x-1)² - (x-1) + 5 = 2×(x² - 2x + 1) - x + 1 + 5 =

= 2x² - 4x + 2 - x + 1 + 5 = 2x² - 5x + 8

3a.

the square root is not defined for negative values, which would happen for any x < 1/3. and for x=1/3 the expression would be a division by 0, which is also undefined.

so, all that is left is x>1/3.

3b.

we must avoid a division by 0. everything else is well defined.

so, when is that expression x² - 5x + 6 = 0 ?

solution for a quadratic equation is

x = (-b ± sqrt(b² - 4ac))/2a

a = 1

b = -5

c = 6

x = (5 ± sqrt(25 - 24))/2 = (5 ± sqrt(1))/2 = (5 ± 1)/2

x1 = (5+1)/2 = 6/2 = 3

x2 = (5-1)/2 = 4/2 = 2

so, these values must be avoided for x. everything else is valid.

4.

(f(x+h) - f(x))/h

for h going to 0.

f(x) = 3x² - 5

f(x+h) = 3×(x+h)² - 5

f(x+h) - f(x) = 3×(x² + 2hx + h²) -5 - 3x² + 5 =

= 3x² + 6hx + 3h² - 3x² = 6hx + 3h²

=>

(f(x+h) - f(x))/h = (6hx + 3h²)/h = 6x + 3h = for h 0 = 6x

Solution :

Faulty electrical connects = P(A) = 0.80

Mechanical defects = P(B) = 0.92

Mechanical defects are related to loose keys = P(C/B) = 0.27

Improper assembly = P(D/B) = 0.73

Defective wires  = P(E/A) = 0.35

Improper connections = P(F/A) = 0.13

Poorly welded wires = P(G/A) = 0.52

Now, the probability due to loose keys = 0.27 x 0.92 = 0.2484

Improperly connected = 0.13 x 0.80 = 0.1040

Poorly welded wires = 0.52 x 0.80 = 0.4160

So, the probability that a failure is due to improperly connected or poorly welded wires = 0.1040 + 0.4160

                       = 0.5200

Answer:

C.  Median

Step-by-step explanation:

Median - a segment drawn from the vertex of a triangle to the midpoint of the opposite side.

Answer: Median

the answer is negative 3

Answer:

The answer is C. on EDG

Step-by-step explanation:

Answer:

Step-by-step explanation:

6)   Statement                      Reasons

      ∠W = ∠Q                      Given

      WX = QX                      Given

     ∠1 = ∠2                          Vertically opposite angles

    ΔPXW ≅ ΔMXQ             A S A  congruent  (Angle side Angle)

7)    ∠1 = ∠4                          Given

     FH = HF                         Reflexive property

     ∠2  = ∠3                        Given

   ΔFGH ≅ ΔHEF               A S A  congruent  (Angle side Angle)

Answer:

a) 48.4%

b) 51.6%

c) 12.3%

d) i) 93.0%  ii) 3.0%

Step-by-step explanation:

a)

P(fp) = probability of false positive result

P(fp) = 0.07

P(fp = 0) = (1 - 0.07)¹⁰

P(fp = 0) = 0.4839... ⇒ 48.4%

b)

P(fp = 1) = 1 - 0.4839...

P(fp = 1) = 0.516... ⇒ 51.6%

c)

P(fp = 2) = 10C2(0.07)²(0.93)⁸

P(fp = 2) = 0.123... ⇒ 12.3%

d)

P(fn) = probability of false negative

P(b) = probability a randomly selected woman has breast cancer  

P(fn) = 0.03

P(b) = 0.0003

If she has a positive test, it is either a true positive, meaning she actually has breast cancer, or a false positive, meaning she doesn't;

If P(fp) = 0.07, then the probability of a true positive is 0.93 or 93%

ii)

If she has a negative test, a true negative means she doesn't have breast cancer, and a false negative means she does have breast cancer;

The probability of a false negative is 0.03 or 3%

(I'm not entirely sure about part d, but I've answered as I've understood it according to my logic, they seem to be somewhat trick questions unless I've incorrectly understood the questions)

Answer:

A parabola

Step-by-step explanation:

It's a quadratic equation so the graph will be a parabola.

The solutions are -2 and -7

Answer:

Step-by-step explanation:

25+125+(-5x)=180 degree (sum of the interior angles of a triangle is 180 degree)

150-5x=180

-5x=180-150

x=30/-5

x=-6

Answer:

9) both of them are in cups measurements, plus they are both ingredients you can use to bake something.

10) both are fruits, both are a similar size.

11) both are animals, though the "41 animals" isn't specified to which animal they are.

12) both are blocks

13) both are cars, both have colors

14) both are types of people with different types of hair colors

Answer:

y = -1

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Step-by-step explanation:

Step 1: Define

Identify

-4(y - 2) = 12

Step 2: Solve for y

Answer:

-4y+8=12

-4y=12-8

-4y=4

y=-1

Answer:

34º

Step-by-step explanation:

The sum of the angles in a triangle is 180º

m∠Q = 180 - 90 - 56

m∠Q = 34º