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Arada [10]
2 years ago
3

Gina is building a rectangular prism out of sugar cubes for her art class project. She started by dressing a diagram prism that

is 4 cubes high and 4 cubes long. How many cubes does she use to make the prism
Mathematics
1 answer:
grandymaker [24]2 years ago
7 0
That’s hard I really do not know about math
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Esmerelda rents a car from a company that rents cars by the hour. She has to pay an initial fee of $52, and then they charge her
Kisachek [45]

C

first set up an equation

$52+8n ≥ 144

bacause she can spend 144 or less

solve 144-52=92

92/8=11.5

6 0
2 years ago
On an algebra test, the highest grade was 42 points higher than the lowest grade. The sum of the two grades was 138. Find the lo
miv72 [106K]


you could use this equation to help you solve it;

x + (x + 42) = 138

the first step is to combine like terms;

2x = 138 -42

2x = 96

X = 96/2

X = 48

we already solved for x now substitute it in the equation I gave you.

48 + (48 + 42) = 138

48 + 90 = 138

hope it helped...if you have any concerns just let me know:) 

3 0
2 years ago
A Department of Transportation survey showed that 60% of U.S. residents over 65 years of age oppose use of cell phones in flight
Shalnov [3]

Answer:

a) P(X=12)=(25C12)(0.6)^{12} (1-0.6)^{25-12}=0.0760

b) P(X>17) = P(X=18) +....+P(X=25)

And we can use the following excel code: "=1-BINOM.DIST(17;25,0.6,TRUE)"

And we got:

P(X>17) = P(X=18) +....+P(X=25)= 0.154

c) P(X

And using the following excel code we got: "=BINOM.DIST(7,25,0.6,TRUE)"

And we got:

P(X

Step-by-step explanation:

Previous concepts

A Bernoulli trial is "a random experiment with exactly two possible outcomes, "success" and "failure", in which the probability of success is the same every time the experiment is conducted". And this experiment is a particular case of the binomial experiment.

The binomial distribution is a "DISCRETE probability distribution that summarizes the probability that a value will take one of two independent values under a given set of parameters. The assumptions for the binomial distribution are that there is only one outcome for each trial, each trial has the same probability of success, and each trial is mutually exclusive, or independent of each other".

The probability mass function for the Binomial distribution is given as:  

P(X)=(nCx)(p)^x (1-p)^{n-x}  

Where (nCx) means combinatory and it's given by this formula:  

nCx=\frac{n!}{(n-x)! x!}  

The complement rule is a theorem that provides a connection between the probability of an event and the probability of the complement of the event. Lat A the event of interest and A' the complement. The rule is defined by: P(A)+P(A') =1

Solution to the problem

Part a

P(X=12)=(25C12)(0.6)^{12} (1-0.6)^{25-12}=0.0760

Part b

For this case we want this probability:

P(X>17) = P(X=18) +....+P(X=25)

And we can use the following excel code: "=1-BINOM.DIST(17,25,0.6,TRUE)"

And we got:

P(X>17) = P(X=18) +....+P(X=25)= 0.154

Part c

For this case we want this probability:

P(X

And using the following excel code we got: "=BINOM.DIST(7,25,0.6,TRUE)"

And we got:

P(X

4 0
2 years ago
Which expression represents the distance between 4.7 and −11.2 on the number line? Drag and drop the correct expression into the
Lana71 [14]

Answer:

<h2>15.9</h2>

Step-by-step explanation:

\text{The formula of a distance between two points on a number line:}\\\\d=|a-b|\\\\\text{for}\ a\geq b:\ d=a-b\\=========================\\\\\text{We have}\ 4.7\ \text{and}\ -11.2.\ \text{Substitute:}\\\\d=4.7-(-11.2)=4.7+11.2=15.9

5 0
2 years ago
Sales tax in one state is 4%. What is the amount of tax on a $56.70 purchase?
NeTakaya

1) Convert 4% to decimal = .04

2) Multiply the purchase by that decimal

.04(56.70) = $2.27

C

5 0
2 years ago
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