1. What is the value of x in the equation 4x

Robert can walk 5/8 mile in 1/2. What was his average speed in miles per hour

ExtremeBDS [4]

Answer:

The answer is 1.23 miles per hour

7 0

2 years ago

Peanuts are $2 a pound and raisins are $4 a pound. Julian bought a 7 pound mixture of peanuts and raisins for $20. How many poun

Elena-2011 [213]

Answer:

there was 3 pounds of raisins and 4 pounds peanuts.

Step-by-step explanation:

4 times 3 =12 and 2 times 4 = 8. 3+4=7 so 7 pounds. 12+8=20 so $20.

4 0

2 years ago

In this unit, you worked with geometric proofs. A proof is a logical sequence of justified conclusions that lead from a hypothes

alisha [4.7K]

Mathematical proofs are important because they help to explain concepts. They also serve as concrete validation for a mathematical result or statement.

In geometry, an incorrect conclusion within a proof might lead to wrong estimations of size, length, and other spatial properties.

Algebra, topology, arithmetics, calculus, and statistics are some other branches of mathematics. In statistics, an incorrect conclusion within a proof might lead to the wrong interpretation of bulky data. Statistical properties like the mean, median, and mode can be misinterpreted.

Businesses that rely on statistics for production and forecasting might be affected.

<h3>What is a Mathematical proof?</h3>

A proof in mathematics is a number of conclusions that lead to the justification of a final statement.

Having incorrect mathematical proofs can be dangerous because it will cause the misinterpretation of concepts and the obtaining of wrong results.

Learn more about mathematical proofs here:

brainly.com/question/2139749

8 0

2 years ago

Some parts of California are particularly earthquake-prone. Suppose that in one metropolitan area, 33% of all homeowners are ins

Lina20 [59]

Answer:

(a) The probability mass function of X is:

$P(X=x)={4\choose x}\ (0.33)^{x}\ (1-0.33)^{4-x};\ x=0,1,2,3...$

(b) The most likely value for X is 1.32.

(c) The probability that at least two of the four selected have earthquake insurance is 0.4015.

Step-by-step explanation:

The random variable X is defined as the number among the four homeowners who have earthquake insurance.

The probability that a homeowner has earthquake insurance is, p = 0.33.

The random sample of homeowners selected is, n = 4.

The event of a homeowner having an earthquake insurance is independent of the other three homeowners.

(a)

All the statements above clearly indicate that the random variable X follows a Binomial distribution with parameters n = 4 and p = 0.33.

The probability mass function of X is:

$P(X=x)={4\choose x}\ (0.33)^{x}\ (1-0.33)^{4-x};\ x=0,1,2,3...$

(b)

The most likely value of a random variable is the expected value.

The expected value of a Binomial random variable is:

$E(X)=np$

Compute the expected value of X as follows:

$E(X)=np$

$=4\times 0.33\\=1.32$

Thus, the most likely value for X is 1.32.

(c)

Compute the probability that at least two of the four selected have earthquake insurance as follows:

P (X ≥ 2) = 1 - P (X < 2)

= 1 - P (X = 0) - P (X = 1)

$=1-{4\choose 0}\ (0.33)^{0}\ (1-0.33)^{4-0}-{4\choose 1}\ (0.33)^{1}\ (1-0.33)^{4-1}\\\\=1-0.20151121-0.39700716\\\\=0.40148163\\\\\approx 0.4015$

Thus, the probability that at least two of the four selected have earthquake insurance is 0.4015.

3 0

2 years ago

PLZ help solve !!!!!!!

Ivahew [28]

37 I think I’m not sure just saying a random number don’t trust me I just needed the points

4 0

2 years ago

1. What is the value of x in the equation 4x – 2(x + 3) = 8? (LT 1a)