7x-49=y<br><br> Solve for x?

When Nayeli goes bowling, her scores are normally

Ber [7]

Using the normal distribution, it is found that she scores less than 128 in 28.1% of her games.

<h3>Normal Probability Distribution</h3>

The z-score of a measure X of a normally distributed variable with mean $\mu$ and standard deviation $\sigma$ is given by:

$Z = \frac{X - \mu}{\sigma}$

The z-score measures how many standard deviations the measure is above or below the mean.

Looking at the z-score table, the p-value associated with this z-score is found, which is the percentile of X.

In this problem, the mean and the standard deviation are given, respectively, by $\mu = 135, \sigma = 12$ .

The proportion of games in which she scores less than 128 is the <u>p-value of Z when X = 128</u>, hence:

$Z = \frac{X - \mu}{\sigma}$

$Z = \frac{128 - 135}{12}$

Z = -0.58

Z = -0.58 has a p-value of 0.281.

She scores less than 128 in 28.1% of her games.

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3 0

2 years ago

Adam saved 35% of the of the 400 dollar he needs to save to buy a bike. How much money has Adam saved so far?

ipn [44]

First write the relationship in words: "What number is 35% of 400?"

Then write an equation to represent this relationship: $x = 35\% \times 400$ or, written another way $x = 0.35\times400$

And then solve:
$x=0.35\times400=140$

Then answer the question: "Adam has saved $140."

8 0

3 years ago

Suppose you have a triangle with only 1 median drawn. Without constructing its other 2 medians, explain how you can locate the c

djyliett [7]

9514 1404 393

Answer:

trisect the median. The centroid is 1/3 its length from the side.

Step-by-step explanation:

The centroid divides each median into parts with a ratio of 2:1. If you trisect the median, the centroid will be 1 unit from the side and 2 units from the vertex.

8 0

3 years ago

A producer will supply 30 items at a price of $15 per item. For every $9 increase in price per item, 595 more items will be prov

KatRina [158]

From the information given about the producer, the linear supply function will be p = 94.17x + 1382.55.

<h3>How to solve the linear supply function</h3>

The equation of the linear supply is given as mx + c.

From the information given, the equation will be:

30 = (15 × m) + c

30 = 15m + c

Also, the second equation will be:

595 = (21 × m) + c

595 = 21m + c

Subtract equation i from ii.

(595 - 30) = 21m - 15m

565 = 6m

m = 565/6 = 94.17

Therefore, we will put the value of m into the equation. This will be:

30 = 15m + c

30 = (15 × 94.17) + c

30 = 1412.55 + c

c = 1412.55 - 30

c = 1382.55

Therefore, the equation will be p = 94.17x + 1382.55.

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3 0

2 years ago

Marge drive 290 miles in five hours. Three hours were on the interstate, then the remainder of the trip was on a road that cause

vivado [14]

Marge drove by 66 miles per hour on the interstate

Step-by-step explanation:

Marge drive 290 miles in five hours, her trip has two stages

She drove 3 hours on the interstate
The remainder of the trip was on a road that caused her to reduce her speed by 20 mph

We need to find how fast Marge drove on the interstate

Assume that she drove by speed x miles per hour on interstate

∵ Distance = speed × time

∵ Her speed on the interstate is x mph

∵ The time of interstate is 3 hours

∴ The distance of interstate = x × 3 = 3x miles

∵ The time of the total trip is 5 hours

∵ She spent 3 hours on the interstate

∴ The time of the remainder of the trip = 5 - 3 = 2 hours

∵ She reduced her speed 20 mph for the remainder of the trip

∴ Her speed on the remainder of the trip = x - 20 mph

∴ The remainder distance = (x - 20) × 2

∴ The remainder distance = 2x - 40 miles

∵ The total distance of the trip is 290 miles

- Equate the sum of the two distances above by 290

∴ 3x + 2x - 40 = 290

- Add the like terms in the left hand side

∴ 5x - 40 = 290

- Add 40 to both sides

∴ 5x = 330

- Divide both sides by 5

∴ x = 66

Marge drove by 66 miles per hour on the interstate

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7 0

4 years ago

7x-49=y Solve for x?