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2 years ago

A person has a bag of coins.

Mathematics

2 answers:

lbvjy [14]2 years ago

8 0

Answer:

$15.6

Step-by-step explanation:

First, let's assume that x is the total money in the bag of coins.

1. x = total money

4/13 of the coins are pennies, so 4/13 of x equals to the number of pennies.

4/13(x) = P (pennies)

What is left that is not pennies is 9/13(x). And out of these, 1/4 are nickels. Which means:

1/4(9/13[x]) = N (nickels)

If 1/4 of the remaining are nickels, then 3/4 are dimes. So:

3/4(9/13[x]) = $8.10 (dimes' value)

After calculating the one with the value:

27/52(x) = $8.10

27x = $8.10 times 52

x = ($8.10 times 52)/27

x = 52 x $0.3

x = $15.6

Ans. The value of the bag of coins is $15.6

Y_Kistochka [10]2 years ago

5 0

The answer is $15.06

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Let X denote the number of flaws along a 100-m reel of magnetic tape (an integer-valued variable). Suppose Zdenote the number of

Lemur [1.5K]

Answer:

a) $P(20 \leq X \leq 30) = P(20-0.5 \leq X \leq 30+0.5)$

$P(19.5 \leq X \leq 30.5) = P(\frac{19.5-25}{5} \leq Z \leq \frac{30.5 -25}{5})=P(-1.1 \leq Z \leq 1.1)$

And we can find this probability like this:

$P(-1.1 \leq Z \leq 1.1)= P(Z\leq 1.1) -P(Z\leq -1.1) = 0.864-0.136= 0.728$

b) $P(X \leq 30)= P(X$

And using the z score we got:

$P(X$

c) $P(X$

And if we use the continuity correction we got:

$P(X$

Step-by-step explanation:

Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".

Continuity correction means that we need to add and subtract 0.5 before standardizing the value specified.

Part a

Let X the random variable that represent the variable of interest of a population, and for this case we know the distribution for X is given by:

$X \sim N(25,5)$

Where $\mu=25$ and $\sigma=5$

Part a

For this case we want to find this probability:

$P(20 \leq X \leq 30) = P(20-0.5 \leq X \leq 30+0.5)$

And if we use the z score given by:

$z =\frac{x-\mu}{\sigma}$

We got this:

$P(19.5 \leq X \leq 30.5) = P(\frac{19.5-25}{5} \leq Z \leq \frac{30.5 -25}{5})=P(-1.1 \leq Z \leq 1.1)$

And we can find this probability like this:

$P(-1.1 \leq Z \leq 1.1)= P(Z\leq 1.1) -P(Z\leq -1.1) = 0.864-0.136= 0.728$

Part b

For this case we want this probability:

$P(X \leq 30)$

And if we use the continuity correction we got:

$P(X \leq 30)= P(X$

And using the z score we got:

$P(X$

Part c

For this case we want this probability:

$P(X$

And if we use the continuity correction we got:

$P(X$

3 0

3 years ago

Contains the point (-1, 2) and is parallel to x – 2y = -3

ivanzaharov [21]

Answer:

see explanation

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Rearrange x - 2y = - 3 into this form

Subtract x from both sides

- 2y = - x - 3 ( divide all terms by - 2 )

y = $\frac{1}{2}$ x + $\frac{3}{2}$ ← in slope- intercept form

with m = $\frac{1}{2}$

• Parallel lines have equal slopes, thus

y = $\frac{1}{2}$ x + c ← is the partial equation

To find c substitute (- 1, 2) into the partial equation

2 = - $\frac{1}{2}$ + c ⇒ c = 2 + $\frac{1}{2}$ = $\frac{5}{2}$

y = $\frac{1}{2}$ x + $\frac{5}{2}$ ← in slope- intercept form

Multiply through by 2

2y = x + 5 ( subtract 2y from both sides )

0 = x - 2y + 5 ( subtract 5 from both sides )

- 5 = x - 2y, thus

x - 2y = - 5 ← in standard form

4 0

3 years ago

Can someone help me and explain how to do it.

skelet666 [1.2K]

Answer:

uhhhhhhh you have to figure out what x is then choose wether it is the other variable a dependent variable, and explanatory variable, or a response variable

Step-by-step explanation:

easy as that

4 0

3 years ago

Inverse of f(x) = 3 + 2 In x?

JulsSmile [24]

This is the inverse of f(x)= -3 - (-2)

4 0

3 years ago

Mhanifa please help this is due soon

kvv77 [185]

Answer:

Use Pythagorean theorem:

a² + b² = c²

3² + 7² = 9 + 49 = 58
(√57)² = 57
58 ≠ 57
No

11² + 2² = 121 + 4 = 125
(5√5)² = 25*5 = 125
125 = 125
Yes

3 0

2 years ago