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vesna_86 [32]
1 year ago
5

Margie’s company manufactures pens. An empty box costs $0.12. Each pen costs $0.15. One full box holds 8 pens. Calculate the cos

t of manufacturing 100 boxes of pens.
Mathematics
1 answer:
chubhunter [2.5K]1 year ago
6 0

Answer:

soo u go 0.12*100

0.15*100

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A prescription calls for the following: Sodium citrate 5 g Tartar Emetic 0.015 g Cherry syrup ad 120 mL Using a balance with a s
ella [17]

Answer:

measure the volume of cherry syrup solution with Tartar Emetic = 22.5 mL

Hence, the correct quantity of tartar emetic to fill the prescription will be obtained

Step-by-step explanation:

Given:

Mass of Sodium citrate = 5 g

Mass of Tartar Emetic = 0.015 g = 15 mg

Volume of Cherry syrup ad 120 mL = 120 mL

sensitivity = 4 mg

Error = 5%

Now,

The smallest weight that can be measured = \frac{\textup{Sensitivity}}{\textup{Error}}\times100

or

The smallest weight that can be measured =  \frac{\textup{4}}{\textup{5}}\times100  = 80 mg

Now,

80 mg is dissolved in 120 mL of Cherry syrup according to prescription

( Thus,

1 mg is dissolved in \frac{120}{80}\ mL  of Cherry syrup according to prescription )

so to measure 15 mg of Tartar Emetic, measure the volume of cherry syrup

=   15\times\frac{120}{80}\ mL

= 22.5 mL

Hence, the correct quantity of tartar emetic to fill the prescription will be obtained

8 0
2 years ago
100/225 square feet of your bakery will be used as your storefront, where customers come visit. The rest kill be used for storag
Lelu [443]
The answer is 5/9. I showed a bit more work on the other post
7 0
2 years ago
Given: ΔABC, AC = BC, AB = 3 CD⊥ AB, CD = 3 Find: AC
viva [34]

Answer:

3\sqrt{5}/2

Step-by-step explanation:

As given, AC = BC, its an isosceles triangle.

Now, CD is perpendicular to AB, therefore AD = DB = 0.5AB = 3/2

Now take triangle ACD,

using Pythagoras theorem,

AC = \sqrt{AD^{2} + CD^{2}   }

AC = 3\sqrt{5}/2

:-)

4 0
2 years ago
Read 2 more answers
In a survey of men aged 20-29 in a certain country, the mean height is 73.4 inches with a standard deviation of 2.7 inches. Find
satela [25.4K]

Answer:

The minimum height in the top 15% of heights is 76.2 inches.

Step-by-step explanation:

Problems of normally distributed samples are solved using 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.

In this problem, we have that:

\mu = 73.4, \sigma = 2.7

Find the minimum height in the top 15% of heights.

This is the value of X when Z has a pvalue of 0.85. So it is X when Z = 1.04.

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

1.04 = \frac{X - 73.4}{2.7}

X - 73.4 = 1.04*2.7

X = 76.2

The minimum height in the top 15% of heights is 76.2 inches.

3 0
2 years ago
you accidentally dropped a coin from the top of 10 stairs. what is the probability that it will land on the 4th step facing up
Roman55 [17]

Answer:

Step-by-step explanation:

1/10 * 1/4 = 1/14

1/2 because there is a 50/50% chance its either heads or tails

3 0
2 years ago
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