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3 years ago

Solve the inequality. Graph the solution. d+12<19

Mathematics

2 answers:

Alenkasestr [34]3 years ago

5 0

Answer:

Move all terms not containing d

to the right side of the inequality.

Inequality Form:

d<7

Step-by-step explanation:

Sorry no graph

PilotLPTM [1.2K]3 years ago

4 0

Answer:

d < 7

Step-by-step explanation:

d + 12 < 19

1. Subtract 12 from both sides

d + 12 - 12 < 19 - 12

d < 7

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Two dice are rolled simultaneously and the difference of the numbers are

zavuch27 [327]

Answer:

Step-by-step explanation:

you can draw a table that has 7 rows and 7 columns, put the 6 numbers and their difference( 1-1=0, 1-2= -1, 1-3= -2,...)

- 1 2 3 4 5 6

1 0 1 2 3 4 5

2 -1 0 1 2 3 4

3 -2 -1 0 1 2 3

4 -3 -2 -1 0 1 2

5 -4 -3 -2 -1 0 1

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3 years ago

Making handcrafted pottery usually takes two major steps:wheel throwing and firing. The time of wheel throwing and thetime of fi

levacccp [35]

Answer:

a) $P(R$

And we can find this probability using the normal standard table or excel and we got:

$P(z$

b) $P(R>110)=P(\frac{R-\mu}{\sigma}>\frac{110-\mu}{\sigma})=P(Z>\frac{110-100}{3.606})=P(Z>2.774)$

And we can find this probability using the complement rule and the normal standard table or excel and we got:

$P(z>2.774)=1-P(Z$

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".

Part a

Let X the random variable that represent the time for the step 1 and Y the time for the step 2, we define the random variable R= X+Y for the total time and the distribution for R assuming independence between X and Y is:

$R \sim N(40+60 = 100,\sqrt{2^2 +3^2}= 3.606 s)$