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2 years ago

12

Which numbers have a digit in the ones place that is 1/10 the value of the digit in the tens place, select all that apply

1 answer:

QveST [7]2 years ago

8 0

Answer:

9077, 1055, and 3,222

Step-by-step explanation:

You might be interested in

Consider a binomial experiment with 15 trials and probability 0.35 of success on a single trial.

DedPeter [7]

Answer:

a

$P(X = 10 ) = 0.0096$

b

$P(X = 10 ) = 0.0085$

c

Option A is correct

Step-by-step explanation:

From the question we are told that

The sample size is n = 15

The probability of success is $p = 0.35$

The number of success we are considering is r = 10

Now the probability of failure is mathematically evaluated as

$q = 1- p$

substituting value

$q = 1- 0.35$

$q = 0.65$

Now using the binomial distribution to find the probability of exactly 10 successes we have that

$P(X = r ) = [\left n } \atop {r}} \right. ] * p^r * q^{n- r}$

substituting values

$P(X = 10 ) = [\left 15 } \atop {10}} \right. ] * p^{10}* q^{15- 10}$

Where $[\left 15 } \atop {10}} \right. ]$ mean 15 combination 10 which is evaluated with a calculator to obtain

$[\left 15 } \atop {10}} \right. ] = 3003$

So

$P(X = 10 ) = 3003 * 0.35 ^{10}* 0.65^{15- 10}$

$P(X = 10 ) = 0.0096$

Now using the normal distribution to approximate the probability of exactly 10 successes, we have that

$P(X = r ) = P( r < X < r )$

Applying continuity correction

$P(X = r ) = P( r -0.5 < X < r +0.5)$

substituting values

$P(X = 10) = P( 10-0.5 < X < 10+0.5)$

$P(X = 10 ) = P( 9.5 < X < 10.5)$

Standardizing

$P(X = r ) = P( \frac{9.5 - \mu }{\sigma } < \frac{X - \mu }{\sigma } < \frac{10.5 - \mu}{\sigma } )$

The where $\mu$ is the mean which is mathematically represented as

$\mu = n * p$

substituting values

$\mu = 15 * 0.35$

$\mu = 5.25$

The standard deviation is evaluated as

$\sigma = \sqrt{n * p * q }$

substituting values

$\sigma = \sqrt{15 * 0.35 * 0.65 }$

$\sigma = 1.8473$

Thus

$P(X = 10 ) = P( \frac{9.5 - 5.25 }{1.8473 } < \frac{X - 5.25 }{1.8473 } < \frac{10.5 - 5.25}{1.8473 } )$

$P(X = 10 ) = P( 2.30 < Z < 2.842 )$

$P(X = 10 ) = P(Z < 2.842 ) - P(Z < 2.30 )$

From the normal distribution table we obtain the $P(Z < 2.841)$ as

$P(Z < 2.841) = 0.99775$

And the $P(Z < 2.30)$

$P(Z < 2.30) = 0.98928$

There value can also be obtained from a probability of z calculator at (Calculator dot net website)

So

$P(X = 10) = 0.99775 - 0.98928$

$P(X = 10 ) = 0.0085$

Looking at the calculated values for question a and b we see that the values are fairly different.

8 0

3 years ago

Solve by looking for the X

Kryger [21]

Answer:

It is a

Hope this helps you

3 0

2 years ago

In a certain chemical, the ratio of zinc to copper is 3 to 13. A jar of the chemical contains 286 grams of copper. How many gra

iren2701 [21]

Answer:

The jar of chermical contains 66g of Zinc.

Step-by-step explanation:

The ratio of Zinc to Copper is 3 : 13

A jar of the chemical contains 286g of copper.

Let the mass of the Zinc be xg.

$\frac{13}{3}$ = $\frac{286}{x}$

x = $\frac{3 × 286}{13}$ = 66g

So the jar of chemical contains 66g of Zinc.

8 0

3 years ago

What do you need to do first to solve this equation ? -6x +4= -20

Savatey [412]

Answer:

subtract 4 from both sides

6 0

3 years ago

Use the distributive property to write the following expressions in expanded form. e ( f + g )

NemiM [27]

Answer:

ef + eg

Step-by-step explanation:

Distributive Property: a(b +c) = (a*b) + (a*c)

e(f +g) = e*f + e*g

= ef + eg

4 0

2 years ago