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2 years ago

Give two different decimals that round to 5.24 when rounding to the nearest hundredths.

Mathematics

1 answer:

KIM [24]2 years ago

4 0

ANSWER

5.2387 and 5.2437

EXPLANATION

To round a decimal to the nearest hundredth means we should round to two decimal places.

To round to two decimal places we consider the third decimal place.

When we round 5.2387 to the nearest hundredth, we obtain 5.24 because the third decimal place is greater than or equal to 5 so we round up.

When we round 5.2437 to the nearest hundredth, we get 5.24 because the third decimal place less than 5 so we round off.

In fact there are infinitely many decimals that will round to 5.24 when rounding to the nearest hundredth.

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Maria will spin the arrow on the spinner 2 times. What is the probability that the arrow will stop on the same letter twice? 19

gavmur [86]

Suppose the spinner lands on a. There's a 1/3 chance that it'll land on a the second time.
Suppose the spinner lands on b. There's a 1/3 chance that it'll land on b the second time.
Suppose the spinner lands on c. There's a 1/3 chance that it'll land on c the second time.

We've covered all possibilities for the first spin, and they're all equal, so their average is 1/3.

The probability that it'll land on the same letter twice is 33.3%.

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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

CAN SOMEONE PLEASE HELP ME RIGHT NOW.

exis [7]

Answer:

m∠SRV = 48°

Step-by-step explanation:

In the parallelogram attached,

m∠TUV = 78°

m∠TVU = 54°

By applying the property of the angles of a triangle in ΔTVU,

m∠TUV + m∠TVU + m∠UTV = 180°

78° + 54° + m∠UTV = 180°

m∠UTV = 180° - 132°

= 48°

Sides RS and TU are the parallel sides of the parallelogram and diagonal TR is a transverse.

Therefore, ∠UTV ≅ ∠SRV [Alternate interior angles]

m∠UTV = m∠SRV = 48°

6 0

2 years ago

A glass bottle filled with oil weighs 590 grams. After Sophia uses 200 milliliters of oil, the bottle weighs 400 grams. The weig

iris [78.8K]

Answer: The answer is $M=590-\dfrac{19}{20}V.$

Step-by-step explanation: Given that a glass bottle is filled with oil weighs 590 grams. After that, Sophia uses 200 millilitres of oil and then the bottle weighs 400 grams.

Therefore, the weight of the oil that Sophia uses = 590 - 400 = 190 grams.

That is, 190 grams = 200 millilitres, so

$1~\textup{ ml}=\dfrac{190}{200}~\textup{grams},\\\\\textup{V ml}=\dfrac{19}{20}\textup{V}~\textup{grams}.$

So, the relation between the weight 'M' of the bottle of oil, in grams, is a function of 'V', the volume of oil Sophia used is given by

$\textup{M}=590-\dfrac{19}{20}\textup{V}.$

7 0

2 years ago

An ice cream shop chose 25 customers at random and asked each to name a favorite flavor. The results are summarized in the pie c

Artemon [7]

Answer: 6 customers

Step-by-step explanation:

From the pie chart,

Given;

Cookies and creams = 24%

Mint chocolate chips = 28%

Straw berry = 20%

Vanilla = 12

Butterscotch = 16

No of customers = 25

Solution

How many of the 25 customers named cookies and cream

= 25 x 24/100

= 25 x 0.24

= 6 customers

6 customers named cookies and cream

3 0

2 years ago

Read 2 more answers