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3 years ago

PLEASE HELP GIVING BRAINLY

Mathematics

1 answer:

EastWind [94]3 years ago

4 0

Answer:

D.) 2:40

Step-by-step explanation:

36/9 = 4constant rate

From 10 am to 1 pm is 4 hours so 4*4 = 16 gal

16+9 = 25 gal

25 + 4+4= 33 gal

we only need 3 more gallons so it would be 2:40.

HOPE THIS HELPED :)

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"Find the sum of the first 50 term in this sequence 4, 7, 10, 13, ...". How do i do this without writing them all out, and how d

melisa1 [442]

First term ,a=4 , common difference =4-7=-3, n =50
sum of first 50terms= (50/2)[2×4+(50-1)(-3)]
=25×[8+49]×-3
=25×57×-3
=25× -171
= -42925
derivation of the formula for the sum of n terms
Progression, S
S=a1+a2+a3+a4+...+an

S=a1+(a1+d)+(a1+2d)+(a1+3d)+...+[a1+(n−1)d] → Equation (1)

S=an+an−1+an−2+an−3+...+a1

S=an+(an−d)+(an−2d)+(an−3d)+...+[an−(n−1)d] → Equation (2)

Add Equations (1) and (2)
2S=(a1+an)+(a1+an)+(a1+an)+(a1+an)+...+(a1+an)

2S=n(a1+an)
S=n/2(a1+an)

Substitute an = a1 + (n - 1)d to the above equation, we have
S=n/2{a1+[a1+(n−1)d]}
S=n/2[2a1+(n−1)d]

5 0

3 years ago

The Westwood Warriors basketball team wants to score more points. To get better at scoring points the team is trying to improve

Makovka662 [10]

Answer:

It is better for the warriors to use man-to-man defense.

Step-by-step explanation:

The complete question is: The Westwood Warriors basketball team wants to score more points. To get better at scoring points the team is trying to improve its offensive strategies. Some opponents primarily use a zone defense, while others primarily use a man-to-man defense. When the Warriors play against teams that use a zone defense they score an average of 67 points per game with a standard deviation of 8 points per game. When they play against teams that use a man-to-man defense they score an average of 62 points per game with a standard deviation of 5 points per game.

Since the Warriors started using their improved offensive strategies they have played two games with the following results.

Against the McNeil Mavericks

Maverick defense: zone

Warrior points: 77

Against the Round Rock Dragons

Dragon defense: man-to-man

Warrior points: 71

What is the Z-score of these values?

We are given that when the Warriors play against teams that use a zone defense they score an average of 67 points per game with a standard deviation of 8 points per game. When they play against teams that use a man-to-man defense they score an average of 62 points per game with a standard deviation of 5 points per game.

We have to find the z-scores.

Finding the z-score for the zone defense;

Let X = points score by warriors when they use zone defense

The z-score probability distribution for the normal distribution is given by;

Z = $\frac{X-\mu}{\sigma}$ ~ N(0,1)

where, $\mu$ = mean score = 67 points

$\sigma$ = standard deviation = 8 points

It is stated that the Warriors scored 77 points when they used zone defense, so;

z-score for 77 = $\frac{X-\mu}{\sigma}$

= $\frac{77-67}{8}$ = 1.25

Finding the z-score for the zone defense;

Let X = points score by warriors when they use man-to-man defense

The z-score probability distribution for the normal distribution is given by;

Z = $\frac{X-\mu}{\sigma}$ ~ N(0,1)

where, $\mu$ = mean score = 62 points

$\sigma$ = standard deviation = 5 points

It is stated that the Warriors scored 71 points when they used man-to-man defense, so;

z-score for 71 = $\frac{X-\mu}{\sigma}$

= $\frac{71-62}{5}$ = 1.8

So, it is better for the warriors to use man-to-man defense.

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3 years ago

A right triangle has a hypotenuse length of 13 units. One leg has a length of 12 units. Which equation can be used to determine

viktelen [127]

a = √(13² - 12²) units

<h3>Further explanation</h3>

Given:

A right triangle has a hypotenuse length of 13 units.
One leg has a length of 12 units

Question:

Which equation can be used to determine the length of the other leg?

The Process:

We will solve a problem regarding right triangles. In the process, there is a relationship between the Pythagorean Theorem with Exponent and Square Root.

Let us find out the equation to determine the length of the other leg. Let the length of the leg as "a".

The Phytagorean Theorem:

$\boxed{ \ (leg)^2 + (leg)^2 = (hypotenuse)^2 \ }$

$\boxed{ \ a^2 + 12^2 = 13^2 \ }$

Subtract by 12² on both sides.

$\boxed{ \ a^2 = 13^2 - 12^2 \ }$

To take the square root on both sides.

So here's the equation that can be used to determine the length of the other leg: $\boxed{\boxed{ \ a = \sqrt{13^2 - 12^2} \ }}$

- - - - - - - - - -

Notes

If we continue working on the above, the results will be as follows:

$\boxed{ \ a = \sqrt{13^2 - 12^2} \ }$

$\boxed{ \ a = \sqrt{169 - 144} \ }$

$\boxed{ \ a = \sqrt{25} \ }$

Hence the length of the other leg equal to a = 5 cm.

Of course, we agree with the use of the right intuition, which is to remember Pythagorean Triples, i.e., $\boxed{ \ 5-12-13 \ }.$ This method is very convenient when working on multiple-choice tests in a limited amount of time.

<h3>Learn more</h3>

What are the lengths of the legs of the triangle? brainly.com/question/13027296
Find out the measures of the two angles in a right triangle brainly.com/question/4302397
A word problem of a quadratic equation brainly.com/question/11805547

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4 years ago

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leonid [27]

Answer:

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Step-by-step explanation:

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