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GenaCL600 [577]
2 years ago
6

In a triangle the length of two sides are 1.9m and 0.7m. What is the length of the third side, if you know that it should be a w

hole number?
Mathematics
1 answer:
monitta2 years ago
6 0

Answer:

their sum: 2.8m

their difference: 1.2m

the third side's length should be smaller than their sum, larger than their difference

it could be: 1.3-1.4-1.5-1.6-1.7-1.8-1.9-2-2.1-2.2-2.3-2.4-2.5-2.6-2.7 but since it has to be a whole number, 2m is the only eligible answer.

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Gordon​ Miller's job shop has four work​ areas, A,​ B, C, and D. Distances in feet between centers of the work areas​ are: A B C
andreev551 [17]

Answer: $600,600

Step-by-step explanation:

Total handling cost :

Workpiece moved * cost * distance

Work area A :

-, (5 × 22 × 900), (9 × 22 × 900), (7 × 22 × 500)

-, 99000, 178200, 77000

Work area B:

-, -, (6 × 22 × 500), (8 × 22 × 200)

-, -, 66000, 35200

Work area C:

-, -, -, (11 × 22 × 600)

-,-,-, 145200

Work area D:

-, -, -, -

Total weekly handling cost :

(99000 + 178200 + 77000 + 66000 + 35200 + 145200)

= $600,600

Kindly check attached picture for more explanation

4 0
2 years ago
In a survey, a group of students were asked to name their favorite elective class. There were 15 students who chose “other." How
lyudmila [28]

Answer:

50 % of them participated

7 0
2 years ago
A child who is trick-or-treating chooses a lollipop at random from a bowl of lollipops with mean weight 1.5 oz and standard devi
son4ous [18]

Answer:

The expected combined weight of the child's lollipop and two chocolate bars is 5.5 oz.

Step-by-step explanation:

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.

Addition of normal variables:

The mean is the sum of the means.

Find the expected combined weight of the child's lollipop and two chocolate bars.

Child lollipop: Mean 1.5 oz

Chocolate bars: Mean 2 oz

One lollipop and 2 bars combined

The mean will be 1.5 + 2*2 = 5.5 oz

The expected combined weight of the child's lollipop and two chocolate bars is 5.5 oz.

3 0
2 years ago
The terms of the binomial expansion are written below using the patterns. (m + 2)4 = (1)(m4)(20) + (4)(m3)(21) + (6)(m2)(22) + (
lorasvet [3.4K]

Answer:

(m + 2)^4 = m^4+ 8 m^3 + 24 m^2 + 32 m + 16

Step-by-step explanation:

(m + 2)^4 = (1)(m^4)(2^0) + (4)(m^3)(2^1) + (6)(m^2)(2^2) + (4)(m^1)(2^3) + (1)(m^0)(2^4)

2^0 is 1 also m^0 is 1

2^2= 4, 2^3= 8 , 2^4= 16

(m + 2)^4 = (1)(m^4)(1)+ (4)(m^3)(2) + (6)(m^2)(4) + (4)(m^1)(8) + (1)(1)(16)

(m + 2)^4 = m^4+ 8 m^3 + 24 m^2 + 32 m + 16


4 0
2 years ago
At your​ school, 20​% of the class are marketing majors. You are randomly assigned to two partners in your statistics class. ​a)
Digiron [165]

Answer:

a) 20%

b) 80%

c) There is 4% probability that both will be marketing majors.

d) There is a 36% probability that at least one will be a marketing​ major.

Step-by-step explanation:

At your​ school, 20​% of the class are marketing majors.

This means that for each student, there is a 20% that he is a marketing major and an 80% chance that he is not a marketing major.

a) What is the probability that the first partner will be a marketing​ major?

The probabilities for each student are independent, so it is 20%.

​b) What is the probability that the first partner​ won't be a marketing​ major?

80%

c) What is the probability that both will be marketing​ majors?

For each one, it is 20%. So:

P = 0.2*0.2 = 0.04

There is 4% probability that both will be marketing majors.

​d) What is the probability that at least one will be a marketing​ major?

That is one of them or both. For both, we found in c) that it is 4%.

For one of them, there are two cases. Either the first partner is and the second is not, or the other way. So, the probability that at least one will be a marketing major is

P = 0.04 + 2*0.2*0.8 = 0.36

There is a 36% probability that at least one will be a marketing​ major.

5 0
2 years ago
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