Ask question

Ask question

All categories

13 days ago

6

an apple Orchard sells apples in bags of 10. the orchard sold a total of 2,430 apples one day. how many bags of apples was this

?

2 answers:

zzz [9K]13 days ago

7 0

243. A division problem

tester [8.8K]13 days ago

3 0

Okapplessold=applesperbag times bagssoldapplessold=2430applesperbag=10bagssold=b2430=10bdivide both sides by 10243=bbags were sold

You might be interested in

Identify an expression that is equivalent to 0.3(12y)

PIT_PIT [9117]

The result is 3.6y. By multiplying 0.3 by 12, we arrive at 3.6, and we include the variable y.

3 0

7 days ago

WNAE, an all-news AM station, finds that the distribution of the lengths of time listeners are tuned to the station follows the

Inessa [9000]

Answer:

a) $P(X>20)=P(\frac{X-\mu}{\sigma}>\frac{20-\mu}{\sigma})=P(Z>\frac{20-15}{3.5})=P(z>1.43)$

The probability can be determined using the complement rule, with the standard normal distribution, an excel sheet, or a calculator.

$P(z>1.43)=1-P(z$

b) $P(X$

This probability can also be calculated using the normal standard distribution, an excel sheet, or a calculator.

$P(z$

c) $P($

For this one, the probability can likewise be derived from the standard normal distribution, excel, or a calculator, with specific adjustments:

$P(-1.43$

Step-by-step explanation:

Previous concepts

Normal distribution refers to a symmetric probability distribution centered around the mean, indicating that occurrences near the mean are more common than those far from it.

The Z-score is a statistic that represents a value's relationship to the average of a set of values, expressed in terms of how many standard deviations it is away from the mean.

Part a

Let X denote the random variable representing the lengths within a population, and for our case, the distribution for X is as follows:

$X \sim N(15,3.5)$

Where $\mu=15$ and $\sigma=3.5$

We seek the probability:

$P(X>20)$

The most effective way to solve this is by leveraging the normal distribution and the corresponding Z-score:

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

By applying this formula, we can find the probability:

$P(X>20)=P(\frac{X-\mu}{\sigma}>\frac{20-\mu}{\sigma})=P(Z>\frac{20-15}{3.5})=P(z>1.43)$

Again, this probability can be obtained either using the complement rule, the standard normal distribution, or a calculator.

$P(z>1.43)=1-P(z$

Part b

$P(X$

This probability can also be computed using either the normal standard distribution, an excel sheet, or a calculator.

$P(z$

Part c

$P($

In this case, the probability can similarly be acquired with the help of the standard normal distribution, an excel sheet, or a calculator, with particular adjustments:

$P(-1.43$

5 0

21 day ago

Carmen has $30 in store bucks and a 25% discount coupon for a local department store. What maximum dollar amount can Carmen purc

lawyer [9240]

Answer:

$110.

Step-by-step explanation:

Let x represent the cost of the item that Carmen bought from the department store.

Carmen possesses $30 in store bucks along with a 25% discount coupon for a local department store. Our goal is to determine the maximum cost for Carmen's purchase such that after applying her store bucks and discount, her total remains at or below $60 before sales tax.

Since the $30 in store bucks is deducted prior to applying the 25% discount, we need to find x such that x - 30 minus 25% of (x - 30) must be less than or equal to 60. This can be set up as an equation:

$x-30-((x-30)\times\frac{25}{100})\leq 60$

$x-30-((x-30)\times 0.25)\leq 60$

$x-30-(0.25x-7.5)\leq 60$

$x-30-0.25x+7.5\leq 60$

$0.75x-22.5\leq 60$

$0.75x-22.5+22.5\leq 60+22.5$

$0.75x\leq 82.5$

$\frac{0.75x}{0.75}\leq \frac{82.5}{0.75}$

$x\leq 110$

Thus, Carmen's purchases should total no more than $110 before sales tax.

3 0

28 days ago

Read 2 more answers

The following six students – Andy, Betty, Chris, Frank, Mark and Mary are standing in line outside of a classroom: Chris, the la

Svet_ta [9500]

Response:

(C) Fourth

Detailed reasoning:

We will create a list based on the given constraints.

Chris is last in the order, positioned right after Andy.

Frank holds the first position in line and is one spot ahead of Betty.

Mark stands in between Betty and Mary.

Frank
Betty
Mark
Mary
Andy
Chris

6 0

1 month ago

The team first experiments with changing the position of the curved pit. In the computer program, the vertex begins on the origi

Zina [9171]

This explanation follows: The query lacks completeness; please refer to the complete question in the provided attachment. The curve described is represented by the quadratic equation, y = x². If the curve moves downwards by 2 units, the equation for the new curve becomes y = x² - 2. Shifting the curve 2 units to the left results in the equation y = (x + 2)². Conversely, moving the curve 2 units to the right transforms it to y = (x - 2)². Lastly, if shifted upwards by 2 units, the equation will be y = x² + 2.

6 0

5 days ago