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Lubov Fominskaja [6]
3 years ago
9

There are 3 ¼ packages of pencils on the desk. One full package weighs 1 ½ pounds. How much do all the containers weigh?

Mathematics
1 answer:
zimovet [89]3 years ago
5 0

<u>Answer and Explanation</u>

4\ \frac{3}{4} or \frac{19}{4} = 4.75

__________________________________________________________

<em>We can prove this is correct by adding and multiplying some of the fractions.</em>

<em></em>\frac{1}{2}\cdot\frac{2}{2} = \frac{2}{4}

<em>There.</em>

__________________________________________________________

<em>Now, we will add the fractions.</em>

\frac{1}{4}+\frac{2}{4} = \frac{3}{4}

3+1 = 4

4+\frac{3}{4} = 4\ \frac{3}{4}

__________________________________________________________

<em>So, the answer is  </em>4\ \frac{3}{4}.

__________________________________________________________

<em>Hope this helps! <3</em>

__________________________________________________________

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Sara's goal is to exercise a mean of 45 minutes per day for one week. For the first 6 days of the week, she exercised 35, 40, 37
Diano4ka-milaya [45]

Answer:

65

Step-by-step explanation:

35+40+27+42+45+50=249      249+65=315     315/7=45

5 0
2 years ago
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Calibrating a scale:
lana66690 [7]

Answer:

We conclude that the calibration point is set too high.

Step-by-step explanation:

We are given the following in the question:

Population mean, μ =  1000 grams

Sample mean, \bar{x} =  1001.1 grams

Sample size, n = 50

Alpha, α = 0.05

Population standard deviation, σ = 2.8 grams

First, we design the null and the alternate hypothesis

H_{0}: \mu = 1000\text{ grams}\\H_A: \mu > 1000\text{ grams}

We use One-tailed(right) z test to perform this hypothesis.

Formula:

z_{stat} = \displaystyle\frac{\bar{x} - \mu}{\frac{\sigma}{\sqrt{n}} }

Putting all the values, we have

z_{stat} = \displaystyle\frac{ 1001.1 - 1000}{\frac{2.8}{\sqrt{50}} } = 2.778

Now, z_{critical} \text{ at 0.01 level of significance } = 2.326

Since,  

z_{stat} > z_{critical}

We reject the null hypothesis and accept the alternate hypothesis. We accept the alternate hypothesis. We conclude that the calibration point is set too high.

6 0
3 years ago
A chef planning for a large banquet thinks that 2 out of every 5 dinner guests will order his soup appetizer.He expects 800 gues
Goryan [66]

320 cups of soup

Step-by-step explanation:

2:5 is a part to whole ratio.

2/5=x/800

so we cross multiply to get:

5x=1600

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6 0
3 years ago
A triangle was dilated by a scale factor of 2. If cos a° = three fifths and segment FD measures 6 units, how long is segment DE?
kiruha [24]

Answer:

10 units

Step-by-step explanation:

Given that:

Cos a = 3 /5

From trigonometry ;

Cos θ = Adjacent / hypotenus

Side Adjacent angle a = 3 = FD

Hypotenus = 5 = DE

3 / 5 = FD / DE

FD = 6 units

3/5 = 6/DE

DE * 3/5 = 6

DE = 6 ÷ 3/5

DE = 6 * 5 /3

DE = 30 /3

DE = 10 units

6 0
2 years ago
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