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3 years ago

Determine whether a triangle with the given side lengths is a right triangle. PHOTO ABOVE

Mathematics

1 answer:

Nadya [2.5K]3 years ago

5 0

1: right triangle, 2: right triangle, 3: not a right triangle, 4:not a right triangle.

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Find the prime factorization of the number. Write the result using exponents <br><br> 1. 245

icang [17]

245=5•7•7=5•7^2
Where 5,7,7 are the prime factors

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3 years ago

Write the equation of a line in slope-intercept form that has a slope of -0.5 and passes through the point (-5, 1.5)

baherus [9]

Y = -1/5x + 0.5
The y intercept is 0.5

3 0

3 years ago

For what value of a do the lines 5x–2y=3 and x+y=a intersect at a point on the y-axis?

inna [77]

Answer:

a = -3/2

Step-by-step explanation:

You can set x=0 and solve for y to find the y-intercept in each case.

first equation: y-intercept = -3/2

second equation: y-intercept = a

To make these equal, we must have ...

a = -3/2

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3 years ago

If a procedure meets all of the conditions of a binomial distribution except the number of trials is not fixed, then the geomet

morpeh [17]

Answer:

The probability is 0.0428

Step-by-step explanation:

First, let's remember that the binomial distribution is given by the formula:

$P(X=k) =\left[\begin{array}{ccc}n\\k\end{array}\right] p^{k}(1-p)^{n-k}$ where k is the number of successes in n trials and p is the probability of success.

However, the problem tells us that when there isn't a number of trials fixed, we can use the geometric distribution and the formula for getting the first success on the xth trial becomes:

$P(X=x) = p(1-p)^{x-1}\\$

The problem asks us to find the probability of the first success on the 4th trial (given that the first subject to be a universal blood donor will be the fourth person selected)

Using this formula with the parameters given, we have:

p = 0.05

x = 4

Substituting these parameters in the formula and solving it, we get:

$P(X=4) = 0.05(1-0.05)^{4-1}\\P(X=4) = 0.05 (0.95)^{3}\\P(X=4) = 0.05(.8573)\\P(X=4) = 0.0428$

Therefore, the probability that the first subject to be a universal blood donor is the fourth person selected is 0.0428 or 4.28%

7 0

3 years ago

Eleanor scores 680 on the mathematics part of the SAT. The distribution of SAT math scores in recent years has been Normal with

Katen [24]

Answer:

Elanor's standardized score is 1.19
Gerald's standardized score is 0.72
Elanor has higher score

Step-by-step explanation:

To compare Elanor's and Gerald's math scores, we need to standardize them and calculate their z-scores.

z score can be calculated using the formula

z= $\frac{X-M}{s}$ where

X is the student's score

M is the mean score of the exam

s is the standard deviation of the exam

Elanor's standardized score is:

z(e) = $\frac{680-554}{106}$ ≈ 1.19

Gerald's standardized score is:

z(g)= $\frac{27-24.7}{3.2}$ ≈ 0.72

Since z(e) > z(g), Elanor has higher score

6 0

3 years ago