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2 years ago

Is 52L greater than 5,200mL?

Mathematics

2 answers:

choli [55]2 years ago

6 0

1L = 1,000mL

therfore

52L = 52 × 1,000mL = 52,000 mL

52L = 52,000mL !!!!

Vesnalui [34]2 years ago

5 0

5200mL → 520 cL → 52dL → 5.2L

Example:

If

1L ------ 1000mL
x -------- 5200mL

1000x = 5200
 $x = \frac{5200}{1000}$
x = 5,2

Therefore:
52L > 5200mL or 5.2L (True)

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Electricity bills: According to a government energy agency, the mean monthly household electricity bill in the United States in

GuDViN [60]

Answer:

18.67% of bills are greater than $131

Step-by-step explanation:

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this problem, we have that:

$\mu = 109.72, \sigma = 24$

What proportion of bills are greater than $131

This proportion is 1 subtracted by the pvalue of Z when X = 131. So

$Z = \frac{X - \mu}{\sigma}$

$Z = \frac{131 - 109.72}{24}$

$Z = 0.89$

$Z = 0.89$ has a pvalue of 0.8133

1 - 0.8133 = 0.1867

18.67% of bills are greater than $131

7 0

1 year ago

Mark is making a decoration for a rally, using a string of triangular strips. Each strip is an isosceles triangle when flattened

jeyben [28]

Solution:

Consider the Given Isosceles Triangle

Considering the Possibilities

Case 1. When two equal angles are of 70°

Let the third angle be x.

Keeping in mind , that sum of Interior angles of Triangle is 180°.

70° + 70° + x= 180°

140° +x= 180°

x= 180°- 140°

x= 40°

Case 2:

When an angle measures 70°, and two equal angles measure x°.

Keeping the same property of triangle in mind, that is sum of interior angles of triangle is 180°.

70° + x° + x° = 180°

⇒ 70° + 2 x° = 180°

⇒ 2 x° = 180° - 70°

⇒ 2 x° = 110°

Dividing both sides by 2, we get

x= 55°

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1 year ago

Garret makes a ramp for his skateboard in the shape of a right triangle with a hypotenuse of 2 ft, and a leg of 1 ft. He wants t

N76 [4]

A.
Explanation.........

3 0

1 year ago

Gianna is going to throw a ball from the top floor of her middle school. When she throws the ball from 32feet above the ground,

Jlenok [28]

Answer:

There are two times for the ball to reach a height of 64 feet:

1 second after thrown ⇒ the ball moves upward

2 seconds after thrown ⇒ the ball moves downward

Step-by-step explanation:

* Lets explain the function to solve the problem

- h(t) models the height of the ball above the ground as a function

of the time t

- h(t) = -16t² + 48t + 32

- Where h(t) is the height of the ball from the ground after t seconds

- The ball is thrown upward with initial velocity 48 feet/second

- The ball is thrown from height 32 feet above the ground

- The acceleration of the gravity is -32 feet/sec²

- To find the time when the height of the ball is above the ground

by 64 feet substitute h by 64

∵ h(t) = -16t² + 48t + 32

∵ h = 64

∴ 64 = -16t² + 48t + 32 ⇒ subtract 64 from both sides

∴ 0 = -16t² + 48t - 32 ⇒ multiply the both sides by -1

∴ 16t² - 48t + 32 = 0 ⇒ divide both sides by 16 because all terms have

16 as a common factor

∴ t² - 3t + 2 = 0 ⇒ factorize it

∴ (t - 2)(t - 1) = 0

- Equate each bracket by zero to find t

∴ t - 2 = 0 ⇒ add 2 to both sides

∴ t = 2

- OR

∴ t - 1 = 0 ⇒ add 1 to both sides

∴ t = 1

- That means the ball will be at height 64 feet after 1 second when it

moves up and again at height 64 feet after 2 seconds when it

moves down

* There are two times for the ball to reach a height of 64 feet

1 second after thrown ⇒ the ball moves upward

2 seconds after thrown ⇒ the ball moves downward

3 0

2 years ago

600 can be written as 2a x b x cd where a,b,c and d are all prime numbers find the values of a, b, c and d

mihalych1998 [28]

The prime factorisation of 600 is given by

$600 = 2 \times 2 \times 2 \times 3 \times 5 \times 5 = 2^3 \times 3 \times 5^2$

Therefore, a = 3, b = 3, c = 5 and d = 2.

4 0

2 years ago