You flip 15 fair coins once. What is the probability of getting at least 12 heads?

Identify the type of sampling bias guaranteed to occur in each of the sampling schemes, based on the information provided. Some

melisa1 [442]

Answer:

1. i Sampling bias and

ii. Question order bias

2. Non response Bias

3.i. sampling bias

ii.question order bias

4. i. response bias

ii.sampling bias

Step-by-step explanation:

we have basically four types of bias in a research which are;

1. Sampling bias

2. Response bias

3. Non response bias

4. Question order bias

8 0

3 years ago

Identify the factors of x2 − 4x − 21. (x − 7)(x 3) (x 7)(x − 3) (x 21)(x − 1) (x − 21)(x 1)

Tanzania [10]

The factors of the quadratic expression x² - 4x - 21 is (x - 7)(x + 3), making the first option the right choice.

A quadratic expression is of the form ax² + bx + c, which can be factorized using the mid-term factorization method, where b is shown as the sum or difference of two such numbers, whose product is equal to the product of a and c.

In the question, we are asked to factorize the quadratic expression, x² - 4x - 21.

In the given expression, a = 1, b = -4, and c = -21.

Thus, ac = -21.

The numbers having a product 21 are:

1*21 = 21,

3*7 = 21.

Since, 3 - 7 = -4 (That is b), we break b into 3 and -7.

Thus, the expression can now be shown as:

x² - 4x - 21

= x² + (3 - 7)x - 21

= x² + 3x - 7x - 21

= x(x + 3) - 7(x + 3) {By taking common}

= (x - 7)(x + 3) {By taking common}.

Thus, the factors of the quadratic expression x² - 4x - 21 is (x - 7)(x + 3), making the first option the right choice.

Learn more about factorizing a quadratic expression at

brainly.com/question/52959

#SPJ1

5 0

1 year ago

What is the y intercept of y= -3x

tatuchka [14]

Answer:

(0,0)

Step-by-step explanation:

y= -3x

The y intercept is the y value when x =0

Let x =0

y = -3(0)

y = 0

(0,0)

3 0

3 years ago

Read 2 more answers

Quadrilateral KMPT is dilated by a scale factor of 3/4 to create K'M'P'T'. The perimeter of quadrilateral KMPT is x units. What

777dan777 [17]

Answer:

B) $\frac{3}{4}$ x units

Step-by-step explanation:

Let quadrilateral KMPT be a rectangle with dimensions 12 units by 8 units. Then its perimeter would be equal to:

Perimeter of a rectangle = 2 (l + b)

where: l is the length = 12 units and b is the breadth = 8 units. So that:

Perimeter of KMPT = 2 (12 + 8)

= 40 units

Dilating KMPT by a scale factor of $\frac{3}{4}$ would create K'M'P'T' of dimensions; $\frac{3}{4}$ × 12 units by $\frac{3}{4}$ × 8 units. Thus, the dimensions of K'M'P'T' would be 9 units by 6 units.

Perimeter of K'M'P'T' = 2 (l + b)

= 2(9 + 6)

= 30 units

Comparing the perimeters of KMPT and K'M'P'T', the perimeter of K'M'P'T' would be $\frac{3}{4}$ × perimeter of KMPT.

Therefore, if the perimeter of KMPT is x units, then;

perimeter of K'M'P'T' = $\frac{3}{4}$ * x units

= $\frac{3}{4}$ x units

6 0

3 years ago

Martin would like to start training to run a marathon. The first week he runs a total of 15 miles. He would like to run 0.3 more

anygoal [31]

Answer: 15.3 miles

Step-by-step explanation:

From the question, we are informed that Martin would like to start training to run a marathon and that first week he runs a total of 15 miles.

We are further told that he would like to run 0.3 more miles each week than the week before. There, the number of miles that Martin will run the second week will be:

= 15 miles + 0.3 miles

= 15.3 miles

3 0

3 years ago