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2 years ago

You have 20 quarters. You find

Mathematics

1 answer:

Len [333]2 years ago

5 0

Answer:

40% of $5 (20 quarters) is $2 so theres $7 and half of 7 is 3.5 so you are left with $3.50

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If the null space of a 5 × 8 matrix A is 4-dimensional, what is the dimension of the column space of A? dim Col A-(Simplify your

Eva8 [605]

Answer: Dim Col A = 4.

Step-by-step explanation:

Since we have given that

Matrix A has 5 rows and 8 columns.

And Nul A = 4

It implies that the rank of A would be

Number of columns - Nul A = 8 - 4 =4

So, rank A = 4

so, it has dim Col A = 4 also.

But the four vector basis lie in R⁵.

Hence, Dim Col A = 4.

5 0

2 years ago

A civil engineer is analyzing the compressive strength of concrete. Compressive strength is normally distributed with σ = 31.62

AysviL [449]

Answer:

A sample size of at least 737 specimens is required.

Step-by-step explanation:

We have that to find our $\alpha$ level, that is the subtraction of 1 by the confidence interval divided by 2. So:

$\alpha = \frac{1-0.99}{2} = 0.005$

Now, we have to find z in the Ztable as such z has a pvalue of $1-\alpha$ .

So it is z with a pvalue of $1-0.005 = 0.995$ , so $z = 2.575$

Now, find the width M as such

$M = z*\frac{\sigma}{\sqrt{n}}$

In which $\sigma$ is the standard deviation of the population and n is the size of the sample.

In this problem, we have that:

$M = 3, \sigma = 31.62$

So:

$M = z*\frac{\sigma}{\sqrt{n}}$

$3 = 2.575*\frac{31.62}{\sqrt{n}}$

$3\sqrt{n} = 81.4215$

$\sqrt{n} = 27.1405$

$n = 736.60$

A sample size of at least 737 specimens is required.

6 0

3 years ago

PLEASE HELP ASAP SLOPES OF PARALLEL AND PERPENDICULAR LINES

Kamila [148]

1) Parallel lines have equal slopes.

We need to find the slope of the given line by solving for y.

5x - 15y = 30

-15y = -5x + 30

y = (1/3)x - 2

The slope of the given line is 1/3, so the slope of the parallel line is also 1/3.

2) Line 1 has slope 2/3.

Line 2 has slope 2/3.

3) Line 1 is a vertical line through x = 2. Line 2 is a horizontal line through y = -5. The lines are perpendicular.

4) The given line can is solved for y, so we can see its slope is -5/2. The slopes of perpendicular lines are negative reciprocals. The perpendicular line has slope 2/5. We have point (5, 0) which is (x1, y1) in the slope-point formula.

y - 0 = (2/5)(x - 5)

y = 2/5 x - 2

5) The given equation has slope -3. To find the negative reciprocal, write the slope as a fraction, flip it, and change the sign.

Slope of perpendicular line is 1/3.

3 0

2 years ago

Read 2 more answers

The faces of a regular octahedron are what type of polygon?

Zarrin [17]

Equilateral triangles.

7 0

3 years ago

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Given: lines a and b are parallel and line c is a transversal. prove: 2 is supplementary to 8 what is the missing reason in the

harina [27]

Answer:

The missing statement is Corresponding angles theorem

Step-by-step explanation:

In this question we are finding the reason for the statement ∠6 ≅ ∠2.

We will write the statements and then we'll give their reasons.

Statement Reason

1) a || b, is a transversal Given

2) ∠6 ≅ ∠2 Corresponding angles theorem

3) m∠6 = m∠2 def. of congruent

4) ∠6 is supp. to ∠8 def. of linear pair

5) ∠2 is supp. to ∠8 congruent supplements theorem

Corresponding Angles Theorem states: If two parallel lines are cut by a transversal, then the pairs of corresponding angles are congruent.

The angles in matching corners are called Corresponding Angles.We can further define it as corresponding angles are angles that are in the same relative position at an intersection of a transversal and at least two lines. If the two lines are parallel then the corresponding angles are congruent

Thus the missing statement is Corresponding Angles Theorem.

8 0

2 years ago

Read 2 more answers