The list shows the number of stories in the 11 tallest buildings

One card from a deck of cards Is selected, it's is replaced, and another card is chosen. What is the probability that the first

Elis [28]

Answer:

1/ 8

Step-by-step explanation:

Given that:

Number of red cards in deck = 26

Number of diamonds in deck = 13

Number of cards in deck = 52

Recall :

Probability = required outcome / Total possible outcomes

Probability of choosing a red :

P(red) = 26 / 52 = 1/2

With replacement :

Probability of diamond :

P(diamond) = 13 / 52 = 1/4

Hence,

Probability of first card red, then second card diamond equals

P(red) * P(diamond)

1/2 * 1/4

= 1/8

6 0

2 years ago

The size of the left upper chamber of the heart is one measure of cardiovascular health. When the upper left chamber is enlarged

Temka [501]

Answer:

a) 0.283 or 28.3%

b) 0.130 or 13%

c) 0.4 or 40%

d) 30.6 mm

Step-by-step explanation:

z-score of a single left atrial diameter value of healthy children can be calculated as:

z= $\frac{X-M}{s}$ where

X is the left atrial diameter value we are looking for its z-score

M is the mean left atrial diameter of healthy children (26.7 mm)

s is the standard deviation (4.7 mm)

Then

a) proportion of healthy children who have left atrial diameters less than 24 mm

=P(z<z*) where z* is the z-score of 24 mm

z*= $\frac{24-26.7}{4.7}$ ≈ −0.574

And P(z<−0.574)=0.283

b) proportion of healthy children who have left atrial diameters greater than 32 mm

= P(z>z*) = 1-P(z<z*) where z* is the z-score of 32 mm

z*= $\frac{32-26.7}{4.7}$ ≈ 1.128

1-P(z<1.128)=0.8703=0.130

c) proportion of healthy children have left atrial diameters between 25 and 30 mm

=P(z(25)<z<z(30)) where z(25), z(30) are the z-scores of 25 and 30 mm

z(30)= $\frac{30-26.7}{4.7}$ ≈ 0.702

z(25)= $\frac{25-26.7}{4.7}$ ≈ −0.362

P(z<0.702)=0.7587

P(z<−0.362)=0.3587

Then P(z(25)<z<z(30)) =0.7587 - 0.3587 =0.4

d) to find the value for which only about 20% have a larger left atrial diameter, we assume

P(z>z*)=0.2 or 20% where z* is the z-score of the value we are looking for.

Then P(z<z*)=0.8 and z*=0.84. That is

0.84= $\frac{X-26.7}{4.7}$ solving this equation for X we get X=30.648

5 0

3 years ago

Determine if AB¯¯¯¯¯¯¯¯ and CD¯¯¯¯¯¯¯¯ are parallel, perpendicular, or neither. Given: A (−1, 3), B (0, 5), C (2, 1), D (6, −1)

dolphi86 [110]

Answer:

perpendicular

Step-by-step explanation:

To determine if AB and CD are parallel, perpendicular, or neither, we need to get the slope of AB and CD first

Given A (−1, 3), B (0, 5),

Slope Mab = 5-3/0-(-1)

Mab = 2/1

Mab = 2

Slope of AB is 2

Given C (2, 1), D (6, −1)

Slope Mcd = -1-1/6-2

Mcd = -2/4

Mcd = -1/2

Slope of CD is -1/2

Take their product

Mab * Mcd = 2 * -1/2

Mab * Mcd = -1

Since the product of their slope is -1, hence AB and CD are perpendicular

5 0

2 years ago

Carlos saves aluminum cans to sell to the recycling center. He recently recycled 43 pounds of cans and received $23.65. How many

qwelly [4]

Answer:

$354

Step-by-step explanation:

first we need to find out how much 1 lb of can is then we can multiply that by 200 to get the answer.

so I divided 43 by 23.65 and got 1.81818181

i'll round that to $1.82 so that equals 1 lb of a can

multiply that by 200

the answer is $354

4 0

2 years ago

Find the quotient:<br> -35x3-10x<br> 5x

miv72 [106K]

The quotient if the equation is x3

5 0

2 years ago

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