Which choice describes a question that could be answered by moving the decimal point 3 places to the right?

Mathematics

2 answers:

aniked [119]3 years ago

6 0

D. Multiplying 14.09 by 1000. It'll move the decimal point three places over. Making it 14090

Pavel [41]3 years ago

6 0

The answer is D. multiplying 14.09 by 1,000
hope it helps :-)!

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Because of a mistake in packaging, a case of 16 bottles of wine contained 9 of brand A and 7 of brand B, each without labels.

attashe74 [19]

Answer:

a) The probability that all five are brand A is 0.0288

b) The probability that exactly two bottles are brand A is 0.0288

c) The probability that none of the bottles is brand A is 0.0048

Step-by-step explanation:

We have 9 bottles of brand A and 7 bottles of brand B.

The total of bottles is 16.

a) The probability that all five bottles are brand A is given by:

$P(5A)=\frac{9}{16} \frac{8}{15}\frac{7}{14} \frac{6}{13} \frac{5}{12}=\frac{3}{104}=0.0288$

b) Since we have 9 bottles of brand A we calculate the probability of picking two brand A bottles and the we calculate the probability of picking 3 brand B bottles:

$P(2A3B)=\frac{9}{16} \frac{8}{15}\frac{7}{14} \frac{6}{13} \frac{5}{12}=\frac{3}{104}=0.0288$

c) The probability that none of the bottles is brand A is the same as picking 5 brand B bottles:

$P(5B)=\frac{7}{16} \frac{6}{15}\frac{5}{14} \frac{4}{13} \frac{3}{12}=\frac{1}{208}=0.0048$

7 0

3 years ago

A phone company charges $0.06 per minute for local calls and $0.15 per minute for international calls. When your bill comes, it

solmaris [256]

Let's assume two variables x and y which represent the local and international calls respectively.

x + y = 852 = total number of minutes which were consumed by the company (equation 1)
0.06*x+ 0.15 y =69.84 = total price which was charged for the phone calls (Equation 2)
from equation 1:-
x=852 -y (sub in equation 2)
0.06 (852 - y) + 0.15 y =69.84

51.12 -0.06 y +0.15 y =69.84 (subtracting both sides by 51.12)
0.09 y =18.74
y= 208 minutes = international minutes (sub in 1)
208+x=852 (By subtracting both sides by 208)
x = 852-208 = 644 minutes = local minutes

6 0

3 years ago

Suppose g(x)=f(x+2)-3

kap26 [50]

The transformations which map f(x) to g(x) according to the equation are; Translation of f(x) 2 units to the left and 3 units upwards.

<h3>Which translations maps f(x) to g(x)?</h3>

The equation given in the task content is as follows;

g(x)=f(x+2)-3

It therefore follows that the transformations which would produce function g(x) from f(x) involves a 2 units translation to the left and a 3 units translation upward.

Remarks:

The complete question requires that the transformations from f(x) to g(x) be identified.