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2 years ago

Using the picture below, which of the following algebraic expressions could be shown by the picture?

Mathematics

1 answer:

Alex787 [66]2 years ago

3 0

Answer:

Step-by-step explanation:

Possibly F also, if that is a multiplication dot in between

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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:

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

Where $\mu=65.5$ and $\sigma=2.6$

We are interested on this probability

$P(R$

And the best way to solve this problem is using the normal standard distribution and the z score given by:

$z=\frac{R-\mu}{\sigma}$

If we apply this formula to our probability we got this:

$P(R$

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

$P(z$

Part 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:

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

8 0

3 years ago

Read 2 more answers

= table shows a hot air balloon's height h, in feet, during a descent at various times t, in seconds.

denpristay [2]

Answer:

A. Slope is -12 feet per second

B. Yes, it is constant.

<u>Skills needed: Linear Equations, Substitution and Division</u>

Step-by-step explanation:

1) Solving Part A (we need to find the slope):

The slope is $\frac{y_2-y_1}{x_2-x_1}$ --> $y_1$ , $y_2$ , $x_1$ , and $x_2$ are all values from the table. We know that the left column is the x-values, and the right column is the y-values as that is the conventional way of depicting them.

2) Using the y-values of 1150 and 1090, and their corresponding x-values (5 and 10 respectively), we can get the slope:

- $\frac{y_2-y_1}{x_2-x_1}$ ==> $\frac{1090-1150}{10-5}$ ==> $1090-1150=-60, 10-5=5$ ==> $\frac{-60}{5}$

$\frac{-60}{5} =-12$ , so the slope is -12.

==================================================================

1) Part B (analysis)

We can see that no matter what 2 y-values and their corresponding x values we use, the slope always is the same. This means that the rate of change is constant.

8 0

2 years ago

If a new soccer ball is labeled $22, what would the new price be if the sign above it says "68% off"? Round your answer to the n

Rom4ik [11]

7.04
.68 x 22 = 14.96
14.96 - 22 = $7.04

4 0

3 years ago

Which equation is equivalent

yawa3891 [41]

The equation that is equivalent is -2+(-7).

7 0

3 years ago

Suppose y varies directly as x and y=21 when x=7. which is an equation relating x and y

astra-53 [7]

Y varies directly as x: y=kx, k is a constant.
when x=7, y=21, so we know k=3
therefore, the equation is y=3x

8 0

3 years ago