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2 years ago

What is 3.149 rounded to the nearest hundredth

Mathematics

2 answers:

Korvikt [17]2 years ago

7 0

3.149 Rounded to the Nearest hundred is 3.15 because the the 9 is the big number and it would make it 3.15

kati45 [8]2 years ago

6 0

Answer:

3.15

Step-by-step explanation:

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Write g(x) = 40x + 4x2 in vertex form. Write the function in standard form. Factor a out of the first two terms. Form a perfect

Aliun [14]

G(x)=4x^2+40x
g(x)=4(x^2+10x)
g(x)=4(x^2+10x+25)-4(25)
g(x)=4(x+5)^2-100

the missing numbers that should be filled in the blanks are:
4, 5, 100

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2 years ago

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Given: BC bisects DBE. Prove: ABD is congruent to ABE

Arada [10]

Answer:

See below

Step-by-step explanation:

BC bisects <DBE and if AC is a straight line then you have that:

<ABD + <DBC = 180 (straight angle because of line AC)

<ABE + <CBE = 180 ( straight angle because of line AC)

Because BC bisects <DBE => < DBC = <CBE

So <ABD and <ABE must be the same to both sum 180 when added < DBC

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2 years ago

Tracie rides the bus home from school each day. The graph represents her distance from home relative to the number of minutes si

natali 33 [55]

Answer:

1. Tracie's bus travels towards her home at an average speed of $\frac{1}{2}$ miles per minute.

Step-by-step explanation:

From the graph, we see that,

X-axis represents the time (in minutes) and the Y-axis represents the distance from home (in miles).

Also, the graph of the function is decreasing by 1 miles for every 2 minutes.

That is, the distance from home is decreasing as the time increases.

That is, the bus is getting closer to the home.

Further, as the distance is decreasing by 1 mile for every 2 minutes.

Thus, the rate of decrease is $\frac{1}{2}$ miles per minute.

As we know, $Speed=\frac{Distance}{Time}$

<em>So, the slope represents the speed of the bus travelling towards home.</em>

That is, 'Tracie's bus travels towards her home at an average speed of $\frac{1}{2}$ miles per minute'.

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2 years ago

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Compare the decimals by using the symbol < or >. a. 0.531 _____ 0.456 b. 0.63 _____ 0.47 c. 0.267 _____ 0.539 d. 0.07 ____

rodikova [14]

Answer:

0.531 > 0.456

0.63 > 0.47

0.267 < 0.539

0.07 < 0.7

Step-by-step explanation:

a. 0.531 _____ 0.456

compare the numbers from left to right

5 is greater than 4 so 0.531 greater than 0.456

0.531 > 0.456

b. 0.63 _____ 0.47

6 is greater than 4. 0.63 > 0.47

c. 0.267 _____ 0.539

2 is less than 5 . so 0.267 less than 0.539

0.267 < 0.539

d. 0.07 _____ 0.7

0 is less than 7

0.07 < 0.7

6 0

2 years ago

A hole is drilled in a sheet-metal component, and then a shaft is inserted through the hole. The shaft clearance is equal to dif

VashaNatasha [74]

Answer:

(A)

$P(X \geq 0.8) = \int\limits_{0.8}^{\infty} f(x) \, dx = \int\limits_{0.8}^{1} 1.25(1-x^4) \, dx = 0.08192$

(B)

Then the cumulative function would be

$CF(x) = 1.25x - 0.25x^5$ if 0<x<1

0 otherwise.

Step-by-step explanation:

(A)

We are looking for the probability that the random variable X is greater than 0.8.

$P(X \geq 0.8) = \int\limits_{0.8}^{\infty} f(x) \, dx = \int\limits_{0.8}^{1} 1.25(1-x^4) \, dx = 0.08192$

(B)

For any $x$ you are looking for the probability $P(X \geq x)$ which is

$P(X \geq x) = \int\limits_{-\infty}^{x} 1.25(1-t^4) dt = \int\limits_{0}^{x} 1.25(1-t^4) dt = 1.25x - 0.25x^2$

Then the cumulative function would be

$CF(x) = 1.25x - 0.25x^5$ if 0<x<1

0 otherwise.

5 0

2 years ago