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3 years ago

One coach wanted her team to swim

Mathematics

1 answer:

Anika [276]3 years ago

6 0

Answer:

800

Step-by-step explanation:

if a lap is to the end and back and the pool is 25 meters long then multiply 25 by 2 which equals 50 then times 50 by 16.

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Determine if the vectors v1 = (2, −1, 0, 3), v2 = (1, 2, 5, −1), v3 = (7, −1, 5, 8) are linearly independent vectors in R4 .

Verdich [7]

Answer with Step-by-step explanation:

We are given that three vectors

$v_1=(2,-1,0,3), v_2=(1,2,5,-1),v_3=(7,-1,5,8)$

We have to determine the given vectors are linearly independent in $R^4$ and write $v_1$ as linear combination of other two vectors if the vectors are dependent.

To find the linearly dependent we will use matrix.

$\left[\begin{array}{cccc}2&-1&0&3\\1&2&5&-1\\7&-1&5&8\end{array}\right]$

If m=Number of rows, n=Number of columns then,

Rank of matrix=min(m,n)

Rank of matrix=min(3,4)

Rank of matrix=3

Dimension of $R^4=4$

Rank $\neq dim$

Therefore, it is linearly dependent .

$v_1=(2,-1,0,3)=-\frac{1}{3}(1,2,5,-1)+\frac{1}{3}(7,-1,5,8)$

4 0

3 years ago

two movie theaters each surveyed 21 customers to determine their ages the table shows a summary of the results

Anon25 [30]

Answer:

narrower

SD is greater

8 0

3 years ago

-7+(-1)= what’s the answer?

Savatey [412]

Answer:

-8.

Step-by-step explanation:

-7+(-1).

The opposite of Addition is Subtraction.

Adding an Negative number to a Negative number gets you a Negative number

4 0

3 years ago

Read 2 more answers

What's 6 c ^ 2 + 2.5 D - D + 2C ^ 2 - 3D what is that simplified

adell [148]

I'm assuming that the lower case c and the upper case C are the same variables.

6C^2 + 2.5D - D + 2C^2 - 3D = 8C^2 - 1.5D

4 0

4 years ago

A public health researcher examines the medical records of a group of 937 men who died in 1999 and discovers that 210 of the men

Julli [10]

Answer:

The correct option is (B) 0.173.

Step-by-step explanation:

The law of total probability states that:

$P(A)=P(A\cap B)+P(A\cap B^{c})$

The conditional probability of an event A given that another event B has already occurred is:

$P(A|B)=\frac{P(A\cap B)}{P(B)}$

Then the probability of intersection of A and B is:

$P(A\cap B)=P(A|B)\cdot P(B)$

Denote the events as follows:

H = a man died from causes related to heart disease.

X = a man had at least one parent who suffered from heart disease

The information provided is:

$P(H)=\frac{210}{937}\\\\P(X)=\frac{312}{937}\\\\P(H|X)=\frac{102}{312}$

The probability that a man randomly selected from this group died of causes related to heart disease, given that neither of his parents suffered from heart disease is, $P(H|X^{c})$ .

Compute the value of $P(H|X^{c})$ as follows:

$P(H)=P(H|X)\cdot P(X)+P(H|X^{c})\cdot P(X^{c})$

$\frac{210}{937}=[\frac{102}{312}\cdot \frac{312}{937}]+[P(H|X^{c})\cdot (1-\frac{312}{937})]\\\\\frac{210}{937}-\frac{102}{937}=[P(H|X^{c})\cdot \frac{625}{937}]\\\\\frac{108}{937}=P(H|X^{c})\cdot \frac{625}{937}\\\\P(H|X^{c})=\frac{108}{937}\times \frac{937}{625}\\\\P(H|X^{c})=0.1728\\\\P(H|X^{c})\approx 0.173$

Thus, the probability that a man randomly selected from this group died of causes related to heart disease, given that neither of his parents suffered from heart disease is 0.173.

The correct option is (B).

4 0

3 years ago