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3 years ago

What is 1.53 to the nearest tenth

Mathematics

2 answers:

Marat540 [252]3 years ago

7 0

1.53 rounded to the nearest tenth is 1.5

Natali [406]3 years ago

5 0

Answer:

1.50

Step-by-step explanation:

The tenths place is the number to the exact right of the decimal, in this case it would be the 5. To round, you need to look to the number to the right of it, in this case it would be the 3.

There's this rule, there's also a rhyme, but I can't remember it atm, anyways it's 5 or higher you round up, 4 or lower you round down. So because it's a 3 you round down, which bascially means it stays the same.

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Write the integral in one variable to find the volume of the solid obtained by rotating the first-quadrant region bounded by y =

Dovator [93]

Answer:

V = π ∫₀² (y² − 8y + 6√(2y)) dy

V = π ∫₀² (6x − 5x² + x³) dx

Step-by-step explanation:

y₁ = 0.5x²

y₂ = x

First, find the intersections of the curves.

0.5x² = x

x² = 2x

x² − 2x = 0

x (x − 2) = 0

x = 0 or x = 2

So the points of intersection are (0, 0) and (2, 2).

When we revolve this region about the line x = 3, we get a hollow shape that looks like an upside-down funnel, or a volcano.

One option is to use washer method to find the volume, by cutting a thin horizontal slice of thickness dy, inner radius 3−x₁ = 3−√(2y), and outer radius of 3−x₂ = 3−y.

V = ∫₀² π [(3−y)² − (3−√(2y))²] dy

V = ∫₀² π (9 − 6y + y² − 9 + 6√(2y) − 2y) dy

V = π ∫₀² (y² − 8y + 6√(2y)) dy

Another option is to use shell method to find the volume, by cutting a thin vertical slice of thickness dx, radius 3−x, and height y₂−y₁ = x−0.5x².

V = ∫₀² 2π (3 − x) (x − 0.5x²) dx

V = ∫₀² 2π (3x − 1.5x² − x² + 0.5x³) dx

V = ∫₀² 2π (3x − 2.5x² + 0.5x³) dx

V = π ∫₀² (6x − 5x² + x³) dx

The second option is arguably easier to evaluate, but either one will get you the same answer (V = 8π/3).

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3 years ago

Use the figure to find the measures of the numbered angles

tresset_1 [31]

1. 112 degrees
2. 68 degrees

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2 years ago

In a class, 64 offers mathematics while 94 offers chemistry , How many will offer the both course?

Leokris [45]

Answer:

Step-by-step explanation:

94-64=30 will offer the same course because the chemistry offers ocerride the mathematics offers

7 0

3 years ago

Solve the system of equations. y = 2x + 4 y = x2 + x - 2

miss Akunina [59]

Answer:

x=6 y=16

Step-by-step explanation:

I will use elimination

y=2x+4

y=2x+x-2

*3 y=2x+4 3y=6x+12

*2 y=3x-2 2y=6x-4

3y=6x+12

- 2y=6x. -4

y=16

16=2x+ 4

-4 -4

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/2 /2

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7 0

3 years ago

A student has a 30% chance of receiving chocolate ice cream for dessert at lunch. A statistics class designs a simulation to app

Nadusha1986 [10]

The count of the sections the class should label as "Chocolate Ice Cream" is 3.

<h3>How to calculate the probability of an event?</h3>

Suppose that there are finite elementary events in the sample space of the considered experiment, and all are equally likely.

Then, suppose we want to find the probability of an event E.

Then, its probability is given as

$P(E) = \dfrac{\text{Number of favorable cases}}{\text{Number of total cases}} = \dfrac{n(E)}{n(S)}$

where favorable cases are those elementary events who belong to E, and total cases are the size of the sample space.

For the considered case, it is given that:

Probability of an student getting Chocolate Ice Cream for dessert at lunch = 30% = 0.3

The count of the sections the class should label as "Chocolate Ice Cream" should be such that spinner getting "Chocolate Ice Cream" as option should have the probability as 0.3

Let the count of the sections the class should label as "Chocolate Ice Cream" be $x$

Then, as there are in total 10 sections in the spinner, and all sections are assumingly equally probable, thus, if the event E is:

E = event of getting "Chocolate Ice Cream" in the spinner ,

then as n(E) = $x$ (as there are $x$ sections with label "Chocolate Ice Cream")

and n(S) = total count of sections (size of sample space) = 10

Thus, we get probability of event E as:

$P(E) = \dfrac{n(E)}{n(S)} = \dfrac{x}{10}$

This needs to be equal to 0.3, thus,

$0.3 = \dfrac{x}{10}\\x = 3$

Thus, the count of the sections the class should label as "Chocolate Ice Cream" is 3.

Learn more about probability here:

brainly.com/question/1210781

3 0

2 years ago

Read 2 more answers