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const2013 [10]
3 years ago
10

A delivery person uses a service elevator to bring boxes of books up to an office. The delivery person weighs 160 lb and each bo

x of books weighs 40 lb. The maximum capacity of the elevator is 670 lb. How many boxes of books can the delivery person bring up at one​ time?
Mathematics
2 answers:
bearhunter [10]3 years ago
8 0

Answer:

Step-by-step explanation:

So if the delivery person weights 160 lbs than we’re going to subtract 670-160=510 next we divide 40 into 510 which is 12.75. Which means that he can bring 12 boxes.

tatyana61 [14]3 years ago
7 0

Answer:

12

Step-by-step explanation:

max cap 670lb- delivery person 160lb  weight left 510lb

weight 510lb/each box 40lb number of boxes 12.75lb

each box 40lb times number of boxes 12lb  480lb+160lb 640lb

so your still have 30 lb before max weight of elevator

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The formula F=9/5C+32 converts temperatures from Celsius C to Fahrenheit F. A. Solve the formula for C b. The boiling point of w
liraira [26]

Answer:

(a) \therefore C=\frac59(F-32)

(b)The boiling point of water in Celsius scale is 100°C.

(c)The setting in Celsius scale is 26.7°C.

Step-by-step explanation:

Given that,the formula is

F=\frac95 C+32......(1)

(a)

Given that,

F=\frac95 C+32

\Rightarrow F-32=\frac95 C+32-32     [ subtracting 32  from both sides]

\Rightarrow F-32=\frac95 C

\Rightarrow \frac95 C=F-32

\Rightarrow C=\frac59(F-32) ......(2)         [Multiplying \frac59  ]

\therefore C=\frac59(F-32)

(b)

Given that, the boiling point of water is 212°F.

Putting F=212 in equation (2)

\therefore C=\frac59(212-32)

\Rightarrow C=\frac59\times 180

\Rightarrow C=5\times 20

\Rightarrow C=100

The boiling point of water is 100°C.

(c)

Given that, a house thermostat is set at 80 degree.

Putting F=80 in equation (2)

\therefore C=\frac59(80-32)

\Rightarrow C=\frac59\times 48

\Rightarrow C\approx26.7

The setting in Celsius scale is 26.7°C.

7 0
3 years ago
Please help!!! help me solve this please please please
blagie [28]
C) they are parallel

as the slopes must be equal due to the fact they are both perpendicular to line n ( for a perpendicular line you flip the slope and change the sign , so both of them being perpendicular to n the slopes must be equal)


They cant interest at all since they are perpendicular and they may not be the same line
3 0
3 years ago
Parker offers to pay for 5 of his friends to play laser tag, but 3 of them don’t want to play. Parker offers to pay for 5 of his
gtnhenbr [62]

Answer: B

Step-by-step explanation:

First, you have to find how many friends are playing. This can be found in the equation 5-3. Now you multiply by six to find the cost. If you chose C, that would be incorrect, because the () you would mltilply first (30) and then subtract 3 (27). You can also think of it as finding the cost of how much all of them want to play by using the distributive property, leaving you with 30 - 18, and subtract from there to get 12.

6 0
3 years ago
Calculate the next three terms of the following sequence.
Ira Lisetskai [31]
A is the correct answer
7 0
3 years ago
Read 2 more answers
"An ordinance requiring that a smoke detector be installed in all previously constructed houses has been in effect in a particul
Galina-37 [17]

Answer:

a) Probability that the claim is rejected when the actual value of p is 0.8 = P(X ≤ 15) = 0.0173

b) Probability of not rejecting the claim when p = 0.7, P(X > 15) = 0.8106

when p = 0.6, P(X > 15) = 0.4246

c) Check Explanation

The error probabilities are evidently lower when 15 is replaced with 14 in the calculations.

Step-by-step explanation:

p is the true proportion of houses with smoke detectors and p = 0.80

The claim that 80% of houses have smoke detectors is rejected if in a sample of 25 houses, not more than 15 houses have smoke detectors.

If X is the number of homes with detectors among the 25 sampled

a) Probability that the claim is rejected when the actual value of p is 0.8 = P(X ≤ 15)

This is a binomial distribution problem

A binomial experiment is one in which the probability of success doesn't change with every run or number of trials (probability that each house has a detector is 0.80)

It usually consists of a number of runs/trials with only two possible outcomes, a success or a failure (we are sampling 25 houses with each of them either having or not having a detector)

The outcome of each trial/run of a binomial experiment is independent of one another.

Binomial distribution function is represented by

P(X = x) = ⁿCₓ pˣ qⁿ⁻ˣ

n = total number of sample spaces = 25 houses sampled

x = Number of successes required = less than or equal to 15

p = probability of success = probability that a house has smoke detectors = 0.80

q = probability of failure = probability that a house does NOT have smoke detectors = 1 - p = 1 - 0.80 = 0.20

P(X ≤ 15) = Sum of probabilities from P(X = 0) to P(X = 15) = 0.01733186954 = 0.01733

b) Probability of not rejecting the claim when p= 0.7 when p= 0.6

For us not to reject the claim, we need more than 15 houses with detectors, hence, th is probability = P(X > 15), but p = 0.7 and 0.6 respectively for this question.

n = total number of sample spaces = 25 houses sampled

x = Number of successes required = more than 15

p = probability that a house has smoke detectors = 0.70, then 0.60

q = probability of failure = probability that a house does NOT have smoke detectors = 1 - p = 1 - 0.70 = 0.30

And 1 - 0.60 = 0.40

P(X > 15) = sum of probabilities from P(X = 15) to P(X = 25)

When p = 0.70, P(X > 15) = 0.8105639765 = 0.8106

When p = 0.60, P(X > 15) = 0.42461701767 = 0.4246

c) How do the "error probabilities" of parts (a) and (b) change if the value 15 in the decision rule is replaced by 14.

The error probabilities include the probability of the claim being false.

When X = 15

(Error probability when p = 0.80) = 0.0173

when p = 0.70, error probability = P(X ≤ 15) = 1 - P(X > 15) = 1 - 0.8106 = 0.1894

when p = 0.60, error probability = 1 - 0.4246 = 0.5754

When X = 14

(Error probability when p = 0.80) = P(X ≤ 14) = 0.00555

when p = 0.70, error probability = P(X ≤ 14) = 0.0978

when p = 0.60, error probability = P(X ≤ 14) = 0.4142

The error probabilities are evidently lower when 15 is replaced with 14 in the calculations.

Hope this Helps!!!

6 0
3 years ago
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