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2 years ago

13

a cookie factory uses 1/6 pf a barrel pf oatmeal in each batch of cookies, the factory used 1 1/3 barrels of oatmeal yesterday.

how many batches of cookies did the factory make?

1 answer:

miv72 [106K]2 years ago

8 0

Answer:

5 batches

Step-by-step explanation:

1/6 oatmeal can make 1 batch, so 5/6 makes 5 batches

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A line passes through the point (4, –2) and has a slope of One-half.

dalvyx [7]

Answer:

-6

Step-by-step explanation:

6 0

2 years ago

Please Explain/Show Your Work, for each part of the question! Thank You!

mina [271]

Answer:

1. The graph represents a proportional relationship

2. 70,000 miles

Step-by-step explanation:

1. The graph represents a proportional relationship since the graph line is straight and begins at the origin.

2. Plot 5.5 hours on the graph and it'll give you 70,000 miles

3 0

3 years ago

According to the National Bridge Inspection Standard (NBIS), public bridges over 20 feet in length must be inspected and rated e

slamgirl [31]

Answer:

1.80% probability that in a random sample of 12 major Denver bridges, at least 4 will have an inspection rating of 4 or below in 2020.

Step-by-step explanation:

For each bridge, there are only two possible outcomes. Either it has rating of 4 or below, or it does not. The probability of a bridge being rated 4 or below is independent from other bridges. So we use the binomial probability distribution to solve this problem.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

In which $C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

And p is the probability of X happening.

For the year 2020, the engineers forecast that 9% of all major Denver bridges will have ratings of 4 or below.

This means that $p = 0.09$

Use the forecast to find the probability that in a random sample of 12 major Denver bridges, at least 4 will have an inspection rating of 4 or below in 2020.

Either less than 4 have a rating of 4 or below, or at least 4 does. The sum of the probabilities of these events is 1.

So

$P(X < 4) + P(X \geq 4) = 1$

We want $P(X \geq 4)$

So

$P(X \geq 4) = 1 - P(X < 4)$

In which

$P(X < 4) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3)$

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$P(X = 0) = C_{12,0}.(0.09)^{0}.(0.91)^{12} = 0.3225$

$P(X = 1) = C_{12,1}.(0.09)^{1}.(0.91)^{11} = 0.3827$

$P(X = 2) = C_{12,2}.(0.09)^{2}.(0.91)^{10} = 0.2082$

$P(X = 3) = C_{12,3}.(0.09)^{3}.(0.91)^{9} = 0.0686$

$P(X < 4) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) = 0.3225 + 0.3827 + 0.2082 + 0.0686 = 0.982$

Finally

$P(X \geq 4) = 1 - P(X < 4) = 1 - 0.982 = 0.0180$

1.80% probability that in a random sample of 12 major Denver bridges, at least 4 will have an inspection rating of 4 or below in 2020.

6 0

3 years ago

What is 340 pages; 20 percent decrease

mote1985 [20]

First you turn the % in to decimal .20
then you multiply .20 by 340=68.00
then you subtract 340.00-68.00=272.00
the final answer is 272.00 pages
:)

5 0

3 years ago

Read 2 more answers

sattari [20]

Answer:

well the answer is 7 rides

Step-by-step explanation:

25 - 4

=21

21÷3

=7

(p.s working might not be in the right format but its right)

6 0

3 years ago