(a + y)2 + 2y if a = 5 and y = -3.

Keith is a drummer who purchases his drumsticks online. When practicing with the newest pair, he notices they feel heavier than

Marina86 [1]

Answer: 0.0174

Step-by-step explanation:

Given : $\mu=1.85\ \ ; \sigma=0.18$

Let x be the random variable that represents the weight of the drumsticks.

We assume that the weight of the drumsticks is normally distributed.

Now, the z-score for x=2.23 , $\because z=\dfrac{x-\mu}{\sigma}$

$\Rightarrow\ z=\dfrac{2.23-1.85}{0.18}\approx2.11\ \ \$

Using z-value table , we have

P-value =P(x≥2.23)=P(z≥2.11)=1-P(z<2.11)=1-0.9825708

=0.0174292≈0.0174 [Rounded nearest 4 decimal places]

Hence, the probability of the stick's weight being 2.23 oz or greater = 0.0174

6 0

4 years ago

Solve the percentage problems. b Find the number if 6% of it is 20% of 6

Fed [463]

Answer:

the number is 20

Step-by-step explanation:

6% of x = 20% of 6

0.06x=0.20*6

0.06x=1.20

x=1.20/0.06

x=20

3 0

3 years ago

Which of the following tables shows the correct steps to transform x2 + 10x + 24 = 0 into the form (x − p)2 = q?

kkurt [141]

The correct steps to transform x² + 10x + 24 = 0 into the form (x − p)² = q is

d.

Step 1: x² + 10x + 24 + 1 = 0 + 1

Step 2: x² + 10x + 25 = 1

Step 3: (x + 5)² = 1

To transform x² + 10x + 24 = 0 into the form (x − p)² = q where [p and q are integers], we perform the following steps of transformation.

<h3>What is transformation?</h3>

This is process of converting one expression to the other by performing some mathematical operations.

<h3>How to transform x² + 10x + 24 = 0 into the form (x − p)² = q </h3>

x² + 10x + 24 = 0

We add 1 to both sides.So,

Step 1: x² + 10x + 24 + 1 = 0 + 1

Thus, we have

Step 2: x² + 10x + 25 = 1

Since the left-hand-side x² + 10x + 25 = (x + 5)²

So, we have

x² + 10x + 25 = 1

Step 3: (x + 5)² = 1

So, the correct steps to transform x² + 10x + 24 = 0 into the form (x − p)² = q is

d.

Step 1: x² + 10x + 24 + 1 = 0 + 1

Step 2: x² + 10x + 25 = 1

Step 3: (x + 5)² = 1

Learn more about transformation here:

brainly.com/question/27224339

3 0

2 years ago

Maria figure that the bowling balls on a rack weighed a total of 240 lb how many 16 pound bowling balls weigh a total of 240 lbs

Naddik [55]

240 = 16x is about an equation but you can make it more complicated by adding unneeded parts for example 240 = 16x - 81 + ((15x) + 15) - (x^2 / 2) - 45 - 1.5.

7 0

4 years ago

Tina works for a medical technology company in sales. She travels to doctors' offices and offers them a suite of software relate

sesenic [268]

Answer: b. 1.94

Step-by-step explanation:

For binomial distribution model , the formula to find standard deviation is given by :-

$\sigma=\sqrt{np(1-p)}$

Given : The portability that the offices she visits will eventually purchase her product: p=0.25

The number of offices she visited = 20

We assume that the binomial is an appropriate model for the number of offices that make a purchase.

Then, to find the distance of the possible number of sales Tina could observe from the overall mean number of sales we find standard deviation.

$\sigma=\sqrt{np(1-p)}\\\\=\sqrt{20(0.25)(0.75)}\\\\=\sqrt{3.75}=1.9364916731\approx1.94$

Hence, the correct answer is option (b).

5 0

3 years ago