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2 years ago

13

The amount of jen's monthly phone bill is normally distributed with a mean of $65 and a standard deviation of 11. what percentag

e of her phone bills are between 32 and 98

1 answer:

stepan [7]2 years ago

4 0

It would be 99%. If you draw the normal distribution curve and plot the mean and standard deviation, it might help you visually.

:)

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What is the multiplicative inverse of 5 in z11, z12, and z13? you can do a trial-and-error search using a calculator or a pc?

grin007 [14]

A multiplicative inverse of an integer a is an integer x such that the product ax is congruent to 1 with respect to the modulus m.

1. $Z_{11}=\{\overline{0},\overline{1},\overline{2},\overline{3},\overline{4},\overline{5},\overline{6},\overline{7},\overline{8},\overline{9},\overline{10}\}.$

Check:

$5\cdot 0=\overline{0};$
$5\cdot 1=\overline{5};$
$5\cdot 2=\overline{10};$
$5\cdot 3=15=\overline{4};$
$5\cdot 4=20=\overline{9};$
$5\cdot 5=25=\overline{3};$
$5\cdot 6=30=\overline{8};$
$5\cdot 7=35=\overline{2};$
$5\cdot 8=40=\overline{7};$
$5\cdot 9=45=\overline{1};$
$5\cdot 10=50=\overline{6}.$

The multiplicative inverse of 5 in $Z_{11}$ is 9.

2. $Z_{12}=\{\overline{0},\overline{1},\overline{2},\overline{3},\overline{4},\overline{5},\overline{6},\overline{7},\overline{8},\overline{9},\overline{10},\overline{11}\}.$

Check:

$5\cdot 0=\overline{0};$
$5\cdot 1=\overline{5};$
$5\cdot 2=\overline{10};$
$5\cdot 3=15=\overline{3};$
$5\cdot 4=20=\overline{8};$
$5\cdot 5=25=\overline{1};$
$5\cdot 6=30=\overline{6};$
$5\cdot 7=35=\overline{11};$
$5\cdot 8=40=\overline{4};$
$5\cdot 9=45=\overline{9};$
$5\cdot 10=50=\overline{2};$
$5\cdot 11=55=\overline{7}.$

The multiplicative inverse of 5 in $Z_{12}$ is 5.

3. $Z_{13}=\{\overline{0},\overline{1},\overline{2},\overline{3},\overline{4},\overline{5},\overline{6},\overline{7},\overline{8},\overline{9},\overline{10},\overline{11},\overline{12}\}.$

Check:

$5\cdot 0=\overline{0};$
$5\cdot 1=\overline{5};$
$5\cdot 2=\overline{10};$
$5\cdot 3=15=\overline{2};$
$5\cdot 4=20=\overline{7};$
$5\cdot 5=25=\overline{12};$
$5\cdot 6=30=\overline{4};$
$5\cdot 7=35=\overline{9};$
$5\cdot 8=40=\overline{1};$
$5\cdot 9=45=\overline{6};$
$5\cdot 10=50=\overline{11};$
$5\cdot 11=55=\overline{3};$
$5\cdot 12=60=\overline{8}.$

The multiplicative inverse of 5 in $Z_{13}$ is 8.

8 0

2 years ago

Samuel walks in the Labor Day parade. He walks 3 1/4 miles along the parade route and 2 5/6 miles home. How many miles does Samu

Afina-wow [57]

Find a common denominator which is 12

1*3=3 4*3=12 so 3 3/12

then 5*2=10 6*2=12 so 2 10/12

2 10/12+3 3/12= 5 13/12

13/12= 1 1/12 plus 5= 6 1/12

so your answer would be 6 1/12

3 0

2 years ago

Read 2 more answers

Ramón and Merissa are driving to New York City after college. The first 300 miles they spend $12.50 on gas.

Ganezh [65]

Answer:

Step-by-step explanation:

$77

4 0

2 years ago

Help help help help help

Ugo [173]

Answer:

I'm pretty sure it's c but I'm not sure

8 0

2 years ago

11−.5y=3+6x<br><br> The .5 is actually a fraction 1/2

maria [59]

Answer:

-12x+16=y

Step-by-step explanation:

Subtract 3 from 11: 8-0.5y=6x

Move 0.5y to the right side: 8=6x+0.5y

Move 6x to the left side: -6x+8=0.5y

Divide both sides by 0.5: -12x+16=y

4 0

2 years ago