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DerKrebs [107]
2 years ago
6

A delivery truck is transporting boxes of two sizes: large and small. The large boxes weigh 22 kilograms each, and the small box

es weigh 10 kilograms each.
There are 125 boxes in all. If the truck is carrying a total of 1970 kilograms in boxes, how many of each type of box is it carrying?

Mathematics
1 answer:
ella [17]2 years ago
3 0

Answer:

50 large 87 small

Step-by-step explanation:

Coffee, Tea, Oreo

Yum Yum

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Using the triangle pictured, find the measure of side AB. Round your answer to the nearest tenth. A) 1.6 B) 2.2 C) 2.7 D) 3.3
Yuki888 [10]

Answer:

Option B (AB = 2.2 units).

Step-by-step explanation:

The diagram shows that there are two sides given and one angle is given. Therefore, the sine rule must be used to solve the question. The sine rule can be written as:

sin ABC / AC = sin BAC / BC.

Plugging ABC=72 degrees, AC=2.5, and BC=2.1 in the sine rule gives:

sin 72 / 2.5 = sin BAC / 2.1.

Cross multiplying gives:

sin BAC = (2.1*sin 72)/2.5.

sin BAC = 0.79888747368.

Taking sin inverse on both sides gives:

BAC = arcsin (0.79888747368) = 53.0239949 degrees.

To find AB, first, the angle ACB is required. To find that angle, use the triangular law of angles. All the three angles sum up to 180 degrees. Therefore ACB = 180 - 72 - 53.0239949 = 54.9760051  degrees.

Now applying the Sine Rule to find AB:

sin ACB / AB = sin ABC / AC.

sin (54.9760051) / AB = sin 72 / 2.5.

AB = (2.5*sin (54.9760051))/sin (72) = 2.2 (to the nearest tenth).

Therefore, AB = 2.2 units, i.e. Option B!!!

6 0
3 years ago
A media company wants to track the results of its new marketing plan, so the video production manager recorded the number of vie
Alisiya [41]

Answer:

f(x)=5120(1.25)^{x}

Step-by-step explanation:

As per the given question

As we know that

f(x) and x are related by following equation

f(x)=a( {b})^{x}

where

b is the common ratio

Now first we have to compute the value for b which are as follows

\frac{6400}{5120}= 1.25

\frac{8000}{6400}= 1.25

Like if we take the ratio by this method than it comes 1.25

Therefore the common ratio, b = 1.25

So,

a = 5,120

Hence, the equation which model the relationship between the number of weeks and the number of viewers is

f(x)=5120(1.25)^{x}

8 0
3 years ago
Read 2 more answers
Find the volume of a right circular cone that has a height of 11.1 cm and a base with a diameter of 17.2 cm. Round your answer t
vovangra [49]

Answer:

2577.8\text{ cm}^3

Step-by-step explanation:

GIVEN: A right circular cone that has a height of 11.1 cm and a base with a diameter of 17.2 cm.

TO FIND: Volume of cone.

SOLUTION:

radius of cone =\frac{\text{diameter}}{2}=\frac{17.2}{2}=8.6\text{ cm}

height of cone =11.1\text{ cm}

Volume of cone =\frac{1}{3}\pi r^2h

putting values we get

Volume of cone =\frac{1}{3}\times3.14\times8.6\times8.6\times11.1

                           =2577.8\text{ cm}^3

Hence the volume of cone is 2577.8\text{ cm}^3

3 0
3 years ago
A pharmaceutical company receives large shipments of aspirin tablets. The acceptance sampling plan is to randomly select and tes
Pavel [41]

Answer:

0.818

Step-by-step explanation:

Since the shipment has a ton of aspirin tablets, we can assume that we pick 13 of them <em>with</em> <em>reposition, </em>because the probability shoudn't change dramatically from the probability of picking without reposition if we do so.

We call D the amount of defective tablets. If we assume that we pick the tablets with reposition, then we obtain that D is a random variable of Binomial distribution with parameters 13 and 0.6 (the probability of picking a defective tablet).

We want D to be at most one. To calculate the probability of that event we add up the probability of D being equal to 0 and the probability of D being equal to one. Since D is binomial, we have

  • P(D = 0) = (1-0.06)^{13} = 0.447
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We conclude that

P(D \leq 1) = P(D = 0) + P(D = 1) = 0.447+0.371 = 0.818

Hence, the shipment will be accepted with probability 0.818

<em>I hope this helps you!</em>

6 0
3 years ago
Help me please!! I forgot how to do it!
LuckyWell [14K]

Answer:

i think the answer is 79

Step-by-step explanation:

im not really sure,

3 0
3 years ago
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