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Ksju [112]
3 years ago
6

Three boxes of cereal weigh 379.4 grams, 424.25 grams and 379.37 grams.What is the difference between the lightest and the heavi

est box?
(A) 44.15 grams

(B) 44.85 grams

(C) 44.88 grams

(D) 45.12 grams


Cambria chose (D) as the correct answers.How did she get that answer?
Mathematics
1 answer:
Alisiya [41]3 years ago
6 0
You subtract the heaviest amount which is 424.25 grams in this case from the smallest, 379.37 grams.Your answer should be C.
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According to Harper's Index, 40% of all federal inmates are serving time for drug dealing. A random sample of 20 federal inmates
loris [4]

Answer:

(a) P(X≥10) = 0.245

(b) P(X≤5) = 0.125

(c) The expected number of inmates who are serving time for drug dealing is 8.

Step-by-step explanation:

We will use the binomial distribution to solve this problem. Let X be the number of federal inmates who are serving time for drug dealing. We will use the binomial probability formula:

P(X=x) = ⁿCₓ pˣ qⁿ⁻ˣ

where n = total number of federal inmates

           x = no. of federal inmates who serve time for drug dealing

           p = probability that a federal inmate is serving time for drug dealing

           q = probability that a federal inmate is not serving time for drug dealing

(a) P(X≥10) = 1 - P(X<10)

                 = 1 - [P(X=0) + P(X=1) + P(X=2) + P(X=3) + P(X=4) + P(X=5) + P(X=6) + P(X=7) + P(X=8) + P(X=9)]

                = 1 - [²⁰C₀(0.4)⁰(0.6)²⁰⁻⁰ + ²⁰C₁(0.4)¹(0.6)²⁰⁻¹ + ²⁰C₂(0.4)²(0.6)²⁰⁻² + ²⁰C₃(0.4)³(0.6)²⁰⁻³ + ²⁰C₄(0.4)⁴(0.6)²⁰⁻⁴ + ²⁰C₅(0.4)⁵(0.6)²⁰⁻⁵ + ²⁰C₆(0.4)⁶(0.6)²⁰⁻⁶ + ²⁰C₇(0.4)⁷(0.6)²⁰⁻⁷ + ²⁰C₈(0.4)⁸(0.6)²⁰⁻⁸ + ²⁰C₉(0.4)⁹(0.6)²⁰⁻⁹

                 = 1 - (0.000036 + 0.00048 + 0.00308 + 0.0123 + 0.0349 + 0.0746 + 0.1244 + 0.1658 + 0.1797 + 0.1597)

                 = 1 - 0.7549

P(X≥10) = 0.245

(b) P(X≤5) = P(X=0) + P(X=1) + P(X=2) + P(X=3) + P(X=4) + P(X=5)

since we have calculated these values in the previous part, we will simply plug them in here and then add them up.

P(X≤5) = 0.000036 + 0.00048 + 0.00308 + 0.0123 + 0.0349 + 0.0746

P(X≤5) = 0.125

(c) For a binomial distribution, the expected value can be calculated as:

μ = np

  = (20)(0.4)

μ = 8

The expected number of inmates who are serving time for drug dealing is 8.

7 0
3 years ago
What is the solution to the system of equations?
sineoko [7]

Answer:

A solution to a system of equations is a set of values for the variable that satisfy all the equations simultaneously. In order to solve a system of equations, one must find all the sets of values of the variables that constitutes solutions of the system.

Step-by-step explanation:

3 0
4 years ago
Read 2 more answers
Ellie wrote each letter of the word BLANKET on cards, as shown below, and placed them in a bag. She drew one card at random from
umka2103 [35]
2/7 chances that you will draw a vowel both times
3 0
4 years ago
Which is a factor of 144 − 49x2? 12 - 7x2 72 – 7x2 12 – 7x 72 + 7x
Elena-2011 [213]

For this case we have the following expression:

144 - 49x ^ 2

We can rewrite the expression by factoring

Rewriting the expression we have:

- (7x-12) (7x + 12)

Then, using the distributive property for the negative sign we have:

(12-7x) (7x + 12)

Thus, we have that one of the factors of the given expression is:

12-7x

Answer:

A factor of the given expression is:

12-7x

option 3

3 0
3 years ago
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The monthly rent on an 80-square-meter apartment in Monte Carlo is 1150 euros. The monthly rent on a 500-square-foot apartment i
Lubov Fominskaja [6]

Answer:

The apartment in Monte Carlo is less expensive

Step-by-step explanation:

Given:

Rent in 80-square-meter apartment in Monte Carlo = 1150 euros.

rent on a 500-square-foot apartment in Santa Fe  =  $800.

To Find:

Which apartment is less expensive =?

Solution:

Price per area in Monte Carlo

Cost per square meter in Monte Carlo

=>\frac{\text{Total rent}}{\text{total area}}

=>\frac{1150}{80}

=>14.375 euros per square meter

Converting to euros per square meter to dollars per square foot

1 Euro per square meter=  0.102355924 U.S. dollars per square foot

14.375 euros per square meter = 0.102355924 x 14.375 = 1.471 U.S. dollars per square foot------------------------(1)

Price per area Santa Fe, New Mexico

=>\frac{\text{Total rent}}{\text{total area}}

=>\frac{800}{500}

=> 1.6 dollars per square foot-------------------------(2)

From (1) and (2)

1.471 < 1.6

Apartment in Monte Carlo is less expensive than Apartment in Santa Fe, New Mexico

3 0
3 years ago
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