Cullen is 10 years younger than Ada. The product of their ages 2 years ago was 39.

A credit card contains 16 digits between 0 and 9. However, only 100 million numbers are valid. If a number is entered randomly,

PIT_PIT [12445]

Answer:

$P(valid) = 1 * 10^{-8}$

Step-by-step explanation:

First, we need to calculate how many potential credit card numbers can be created using the digits 0 through 9.

We aim to create a number that consists of 16 digits from a total of 10 digits, therefore:

$N = 10^{16}$

The total count of possible numbers formed is $10^{16}$ . However, only 100 million of these are valid ( $100 * 10^6 = 10^8$ ). Let n represent the valid number of combinations.

This leads us to the probability of selecting a valid number:

P(valid) = n / N

$P(valid) = 10^{8} / 10^{16}\\\\P(valid) = 1 * 10^{-8}$

8 0

3 months ago

Michael went to the grocery store and bought bottles of soda and bottles of juice. Each bottle of soda has 40 grams of sugar and

AnnZ [12381]

40x+20y=300
x= number of soda bottles
y= number of juice bottles

By solving this equation, determining x & y will reveal the amount of each type of bottle!

I hope this information is beneficial!

~ Penny

8 0

2 months ago

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A high school theater club has 40 students, of whom 6 are left-handed. Two students from the club will be selected at random, on

babunello [11817]

Response:

$1.92\%$

Detailed explanation:

Probability for an event is calculated as the ratio of the size of the event space compared to that of the sample space.

The sample space encompasses all possible outcomes.

Event space represents the number of favorable outcomes for the event in question.

Thus

Let

x ------> size of event space

y ----- → size of sample space

so

$P=\frac{x}{y}$

Calculate the probability of the first student being left-handed

we have

$x=6$

$y=40$

substituting values

$P=\frac{6}{40}$

Simplify

$P=\frac{3}{20}$

Calculate the probability of the second student being left-handed

we have

$x=6-1=5$

$y=40-1=39$

substituting values

$P=\frac{5}{39}$

Calculate the probability that both selected students will be left-handed

Multiply the probabilities together.

$P=\frac{3}{20}(\frac{5}{39})=\frac{15}{780}$

Convert to percentage

Multiply by 100

$\frac{15}{780}(100)=1.92\%$

4 0

2 months ago

Isaac is purchasing two pairs of shoes—one pair for $37.00 and the second pair for $42.00. The state sales tax applied to Isaac’

tester [12383]

Respuesta:

El total de la factura de Isaac es $84.53

Explicación detallada:

$37.00 + $42.00 = $79.00 < b (factura)

b + t (impuesto sobre ventas) = c (costo total)

(7%/100 = 0.07)

(0.07 * 79 = 5.53)

(t = $5.53)

$79.00 + $5.53 = $84.53

¡Buena suerte!

6 0

2 months ago

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The graph of f(x) = x2 is translated to form g(x) = (x – 5)2 + 1. On a coordinate plane, a parabola, labeled f of x, opens up. I

AnnZ [12381]

Answer:

The correct option is:

On the coordinate plane, there is a parabola that opens upwards, passing through the points (2, 10), having its vertex at (5, 1), and intersecting (8, 10).

Step-by-step explanation:

Initially, we must understand the translation rules

1) {f(x) + a} signifies f(x) moved up by (a) units

2) {f(x) – a} means f(x) moved down by (a) units

3) {f(x + a)} represents f(x) moved left by (a) units.

4) {f(x – a)} indicates f(x) moved right by (a) units.

Given information:

f(x) = x²

g(x) = (x-5)² + 1

By comparing the transformation from f(x) to g(x) with the translation rules

It can be concluded that g(x) represents f(x) through a translation of 5 units to the right and 1 unit upwards (rules 1 and 4)

Refer to the attached image, which illustrates the graphs of both f(x) and g(x)

As depicted, g(x) intersects (2, 10), has a vertex at (5, 1), and crosses through (8, 10)

3 0

2 months ago

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