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4 years ago

9

I want to be a teacher some day and i know this question----------What is -15 -(-8)=? remember a negitive plus a negitive equals

a positive ;) *i will upvote*

1 answer:

irina [24]4 years ago

8 0

Answer is -7 because -15+8=-7

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A cupcake requires 35 grams of sugar and 50 grams of flour, and a muffin requires 30 grams of sugar and 65

TEA [102]

The inequality that represents the condition based on the number of grams of sugar is 35C + 30M ≥ 460

The inequality that represents the condition based on the number of grams of flour is 50C + 65M ≤ 970

<u>Solution:</u>

Given, a cupcake requires 35 grams of sugar and 50 grams of flour, and a muffin requires 30 grams of sugar and 65 grams of flour.

Shawna needs to use up at least 460 grams of sugar to make cupcakes and muffins, and she wants to use at most 970 grams of flour.

Let C denote the number of cupcakes she makes and M the number of muffins she makes.

Now, let us write an inequality that represents the condition based on the number of grams of sugar.

Total sugar used ≥ 460 grams.

Sugar used for cupcakes + sugar used for muffins ≥ 460 grams

Number of cupcakes x sugar used for 1 cupcake + number of muffins x sugar for 1 muffin ≥ 460

C $\times$ 35 + M $\times$ 30 ≥ 460

35C + 30M ≥ 460

Now let us write an inequality that represents the condition based on the number of grams of flour.

Total flour used ≤ 970 grams.

Flour used for cupcakes + flour used for muffins ≤ 970 grams

Number of cupcakes x flour used for 1 cupcake + number of muffins x flour for 1 muffin ≤ 970

C $\times$ 50 + M $\times$ 65 ≤ 970.

50C + 65M ≤ 970

Hence, the inequalities are 35C + 30M ≥ 460 and 50C + 65M ≤ 970.

4 0

3 years ago

Add gift box in the shape of a triangular prism has a volume of 140 in.³, that a base height of 10 inches, and a height of 4 inc

fenix001 [56]

140=10*4*x
140=40*x
7/2 = x

3.5 inches

5 0

3 years ago

a) A large hotel in Miami has 900 rooms (all rooms are equivalent). During Christmas, the hotel is usually fully booked. However

Olegator [25]

Answer:

14.69% probability that this happens

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal probability distribution

When the distribution is normal, we use the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore of a measure X is given by:

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

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean $\mu$ and standard deviation $\sigma$ , the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean $\mu$ and standard deviation $s = \frac{\sigma}{\sqrt{n}}$ .

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean $\mu = p$ and standard deviation $s = \sqrt{\frac{p(1-p)}{n}}$

1000 people were given assurance of a room.

This means that $n = 1000$

Let us assume that each customer cancels their reservation with a probability of 0.1.

So 0.9 probability that they still keep their booking, which means that $p = 0.9$

Probability more than 900 still keeps their booking:

$n = 1000, p = 0.9$

So

$\mu = 0.9, s = \sqrt{\frac{0.9*0.1}{1000}} = 0.0095$

901/1000 = 0.91

So this is 1 subtracted by the pvalue of Z when X = 0.91.

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

By the Central Limit Theorem

$Z = \frac{0.91 - 0.9}{0.0095}$

$Z = 1.05$

$Z = 1.05$ has a pvalue of 0.8531

1 - 0.8531 = 0.1469

14.69% probability that this happens

3 0

3 years ago

Please help me now help me nowww please

topjm [15]

Answer:

A. 1
B. 3
C. 2
D. 5
E. 4
F. 6

7 0

2 years ago

John can type 45 words per min (45/min) he has to type a report for Mrs. Ramey that must be 2700 words. How many hours will it t

Sav [38]

Answer:

It will take 1 hour to type the report.

Step-by-step explanation:

The time that will take to John to type the report is:

$\frac{1 min}{45 w}*2700 w = 60 min$

Since we have 60 minutes in 1 hour, the time in hours is:

$\frac{1 h}{60 min}*60min = 1 h$

Therefore, it will take 1 hour to type the report.

I hope it helps you!

5 0

3 years ago