Ask question

Ask question

All categories

1 year ago

5

Valery spent 1/5 of her money buying 8 pencils and 2 markers. Each marker cost twice as much as each pencil. She used 58 of her

remaining money buying more markers. How many markers did Valery buy in all?

1 answer:

vovangra [49]1 year ago

4 0

1/10 and his Valero in all is 2862

You might be interested in

A random variable x follows a normal distribution with mean d and standard deviation o=2. It is known that x is less than 5 abou

Vaselesa [24]

Answer:

The mean of this distribution is approximately 3.96.

Step-by-step explanation:

Here's how to solve this problem using a normal distribution table.

Let $z$ be the

$\displaystyle z = \frac{x - \mu}{\sigma}$ .

In this question, $x = 5$ and $\sigma = 2$ . The equation becomes

$\displaystyle z = \frac{5 - \mu}{2}$ .

To solve for $\mu$ , the mean of this distribution, the only thing that needs to be found is the value of $z$ . Since

The problem stated that $P(X \le 5) = 69.85\% = 0.6985$ . Hence, $P(Z \le z) = 0.6985$ .

The problem is that the normal distribution tables list only the value of $P(0 \le Z \le z)$ for $z \ge 0$ . To estimate $z$ from $P(Z \le z) = 0.6985$ , it would be necessary to find the appropriate

Since $P(Z \le z) = 0.6985$ and is greater than $P(Z \le 0) = 0.50$ , $z > 0$ . As a result, $P(Z \le z)$ can be written as the sum of $P(Z < 0)$ and $P(0 \le Z \le z)$ . Besides, $P(Z < 0) = P(Z \le 0) = 0.50$ . As a result:

$\begin{aligned}&P(Z \le z)\\ &= P(Z < 0) + P(0 \le Z \le z) \\ &= 0.50 + P(0 \le Z \le z)\end{aligned}$ .

Therefore:

$\begin{aligned}&P(0 \le Z \le z) \\ &= P(Z \le z) - 0.50 \\&= 0.6985 - 0.50 \\&=0.1985 \end{aligned}$ .

Lookup $0.1985$ on a normal distribution table. The corresponding $z$ -score is $0.52$ . (In other words, $P(0 \le Z \le 0.52) = 0.1985$ .)

Given that

$z = 0.52$ ,
$x =5$ , and
$\sigma = 2$ ,

Solve the equation $\displaystyle z = \frac{x - \mu}{\sigma}$ for the mean, $\mu$ :

$\displaystyle 0.52 = \frac{5 - \mu}{2}$ .

$\mu = 5 - 2 \times 0.52 = 3.96$ .

3 0

2 years ago

Use right triangle DCB to find the trig values for angle D. sinD = cosD = tanD =

Sever21 [200]

Sin D=35/37
cos D=12/37
tan D= 35/12
Use SOHCAHTOA

4 0

1 year ago

Read 2 more answers

How many solutions does the nonlinear system of equations graphed below have?

k0ka [10]

Answer:

B) 2

Step-by-step explanation:

There are 2 points of intersection

3 0

2 years ago

Read 2 more answers

Find the coordinates of the midpoint of a segment with the given endpoints W(-12, -7), T(-8, -4)

jasenka [17]

Finding the midpoint coordinates of any segment really boils down to finding the midpoints of each individual coordinate.

The x-coordinates of the two points are -12 and -8 - the number halfway between those two is -10, so that'll be the midpoint's x-coordinate. The y-coordinates are -7 and -4 - -5.5 is halfway between these two, so the y-coordinate will be 5.5.

Putting the two together, the midpoint of the segment WT has the coordinates (-10, -5.5).

4 0

2 years ago

Read 2 more answers

Marcus pours 12 ounces of cranberry juice into a punch bowl. He uses a container to add sprakling water to the bowl one ounce at

melomori [17]

Answer: There is 20 ounces of liquid in the bowl after adding 8 containers of sparkling water.

Step-by-step explanation:

Since we have given that

Number of ounces of cranberry juice into a punch bowl = 12 ounces

According to question, he uses a container to add sparkling water to the bowl one ounce at a time.

Let the amount of sparkling water added to the bowl be 'x'

Let the total number of ounces of liquid Marcus will have be 'y'.

So, our equation becomes,

$y=12+x$

Here, we have asked after adding 8 containers of sparkling water .

So, now, our equation becomes,

$y=12+x\\\\y=12+8\\\\y=20\ ounces$

Hence, there is 20 ounces of liquid in the bowl after adding 8 containers of sparkling water.

6 0

1 year ago