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Nitella [24]
3 years ago
12

Gina wants to ride the waves at flagship pier in gavelston so she rents a surfboard for 5 dollars per hour plus an initial or be

gginning payment of 20 dollars for how many hours can gina rent a surf borad if she has 90 dollars
Mathematics
2 answers:
LuckyWell [14K]3 years ago
7 0
90-20 leaves 70 for surfing. since surfing is 5 per hour, 70/5=14 hours she can surf.
MaRussiya [10]3 years ago
3 0
To solve this, we’ll use an equation!
20 (basic cost) + 5x ($5 per hour) = <$90.

We want the cost to stay under or at $90!

Let’s first begin by simplifying it. We can get rid of the 20 in the equation by subtracting it from both sides, so we’re just left with 5x = 70. Now, it’s a simple matter of division!

Divide 70 by 5 to simplify even more and you’ll discover that you’re left with x = 14. This means that Gina can hang out there for 14 hours before running out of money!
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Read the following excerpts from the New York Times (December 17, 1996) article Chance of Heart Attack Increases for Those Who S
nataly862011 [7]

Answer:

1. B

2. A

3. A

4. A

Step-by-step explanation:

Hello!

The study claimed that subjects who suffer depression are more likely to have a heart attack than those who are not depressed.

1551 persons were interviewed as part of the experiment and classified according to their answers in two groups "suffered depression" and "didn't suffer depression"

Afterward, the researchers looked up the medical history of all 1551 subjects and recorded how many of them had heard issues.

1.

An observational study is one where the researcher only determines the variables he wants to study without controlling or influencing any factor of the population of interest. Because there is no interference from the researchers, there is a high risk that confounding factors may affect the conclusions of it. These studies are usually precursors to experimental tests, it allows the researcher to have an idea of the association between the two variables but you cannot establish causal relationships from them.

This is an example of an observational study, the researcher merely recorded the variables of interest without interfering with any aspects that may influence them. (For example diet or exercise habits of the subjects)

2. and 3.

The objective of the study is to determine if "depression" causes "disposition to heart attacks"

The explanatory variable is "depression status of the subject" since it is what is suspected to influence over the heart condition of said subject and "heart attack status" is the response variable.

4.

Of the 1551 subjects originally studied, 444 were classified as depressed, of these 27 had heard attacks. You can calculate the "proportion of subjects that suffered depression and had heart attacks" as:

p': 27/444= 0.06 ⇒ 6%

Since this value was obtained from the sample, it is an estimation of the population parameter, also called statistic.

I hope it helps!

4 0
2 years ago
What is the distance between points (4,7) and (-3,6) using the Pythagorean theorem
uysha [10]
A² + b² = c². 
Make a triangle with the points on a grid. 
One leg is 7 units and the other is 1 unit.
7² is 49 and 1² is 1. 
49 + 1 = 50 
√50 ≈ 7.071. 
Hope this helps!
6 0
3 years ago
An n × n matrix B has characteristic polynomial p(λ) = −λ(λ − 3) 3 (λ − 2) 2 (λ + 1). Which of the following statements is false
asambeis [7]

Answer:

Only d) is false.

Step-by-step explanation:

Let p=p(\lambda)=\lambda(\lambda-3)^3 (\lambda-2)^2 (\lambda+1) be the characteristic polynomial of B.

a) We use the rank-nullity theorem. First, note that 0 is an eigenvalue of algebraic multiplicity 1. The null space of B is equal to the eigenspace generated by 0. The dimension of this space is the geometric multiplicity of 0, which can't exceed the algebraic multiplicity. Then Nul(B)≤1. It can't happen that Nul(B)=0, because eigenspaces have positive dimension, therfore Nul(B)=1 and by the rank-nullity theorem, rank(B)=7-nul(B)=6 (B has size 7, see part e)

b) Remember that p(\lambda)=\det(B-\lambda I). 0 is a root of p, so we have that p(0)=\det(B-0 I)=\det B=0.

c) The matrix T must be a nxn matrix so that the product BTB is well defined. Therefore det(T) is defined and by part c) we have that det(BTB)=det(B)det(T)det(B)=0.

d) det(B)=0 by part c) so B is not invertible.

e) The degree of the characteristic polynomial p is equal to the size of the matrix B. Summing the multiplicities of each root, p has degree 7, therefore the size of B is n=7.      

8 0
3 years ago
Help meee I’ll give 10 pts and brainliest!!!
crimeas [40]

Step-by-step explanation:

i) \overline{AB} = \sqrt{(x_A - x_B)^2 + (y_A - y_B)^2}

\:\:\:\:\:\:\:=\sqrt{(2)^2 + (12)^2} = 12.3

ii) m = \dfrac{y_A - y_B}{x_A - x_B} = \dfrac{-12}{2} = -6

iii) (\overline{x},\:\overline{y}) = \left(\dfrac{x_A + x_B}{2},\:\dfrac{y_A + y_B}{2}\right)

\:\:\:\:\:\:\:=(3,\:-2)

7 0
3 years ago
I need your Help, please!<br> THX:)
USPshnik [31]
450 miles
1 in. Per 60 miles
460/60 = 7.5 inches
7 0
2 years ago
Read 2 more answers
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