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2 years ago

What is the additive inverse of -10? Explain how you know. (Will name brainiest)

Mathematics

2 answers:

Gekata [30.6K]2 years ago

8 0

Answer:

Step-by-step explanation:

The additive inverse of - 10 is 10.

Additive inverse are basically the opposites of the number so all you need to do is switch the signs. In this case, you have to switch -10 to its opposite, which is 10.

To check -10 + 10 = 0.

igomit [66]2 years ago

7 0

Answer:

The answer would be positive 10 this is because the additive inverse is the same number but different sign which yours is a negative sI it is positive 10.

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A juggler tosses a bowling pin in the air with an initial velocity of 18 ft per second. It leaves his hand when it is five feet

Natali5045456 [20]

Complete Question

A juggler tosses a bowling pin in the air with an initial velocity of 18 ft per second. It leaves his hand when it is five feet from the ground and he catches it when it is four feet from the ground,How long is the ball in the air?

Answer:

$t\approx 0.1s$

Step-by-step explanation:

From the question we are told that

Initial velocity $V_0= 18 ft/s$

Initial Height $h_1=5feet$

Final Height $h_2=4feet$

Generally the Newtons equation for motion is mathematically given by

$V^2 = U^2 + 2as$

Where

$s=h_2-h_1\\s=4-5\\s=-1ft$

And

$a=g=>9.81\\a=32.2ft/s^2$

Therefore

$V^2 = (18)^2 + 2(-32.2)(-1)$

$V^2 = 388.4$

$V =19.70786645\\V=19.71ft/s$

Generally the equation for Time is mathematically Given as

$t=\frac{V-U}{a}$

$t=\frac{19.71-18}{32.2}$

$t=0.05310559006$

$t\approx 0.1s$

Therefore the time spent on air by the ball is

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2 years ago

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DedPeter [7]

I don’t know but I think 5 feet

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2 years ago

The proportion of U.S. births that result in a birth defect is approximately 1/33 according to the Centers for Disease Control a

Dafna11 [192]

Answer:

Probability that at least 490 do not result in birth defects = 0.1076

Step-by-step explanation:

Given - The proportion of U.S. births that result in a birth defect is approximately 1/33 according to the Centers for Disease Control and Prevention (CDC). A local hospital randomly selects five births and lets the random variable X count the number not resulting in a defect. Assume the births are independent.

To find - If 500 births were observed rather than only 5, what is the approximate probability that at least 490 do not result in birth defects

Proof -

Given that,

P(birth that result in a birth defect) = 1/33

P(birth that not result in a birth defect) = 1 - 1/33 = 32/33

Now,

Given that, n = 500

X = Number of birth that does not result in birth defects

Now,

P(X ≥ 490) = $\sum\limits^{500}_{x=490} {^{500} C_{x} } (\frac{32}{33} )^{x} (\frac{1}{33} )^{500-x}$

= ${^{500} C_{490} } (\frac{32}{33} )^{490} (\frac{1}{33} )^{500-490}$ + .......+ ${^{500} C_{500} } (\frac{32}{33} )^{500} (\frac{1}{33} )^{500-500}$

= 0.04541 + ......+0.0000002079

= 0.1076

⇒Probability that at least 490 do not result in birth defects = 0.1076

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2 years ago