Y varies inversely with x k = 4.5 What is the value of x when y is 9?

Marry used ¼ litres of cooking oil this week and left with ½ litres. How much cooking oil Marry has at the beginning of the week

Black_prince [1.1K]

Answer:

3/4

Step-by-step explanation:

5 0

3 years ago

Write the equation of the line that contains the given point and has the given slope.

mixer [17]

Y=mx+b m- slope b- y-intercept(where the line crosses the y axis)
31=.5(15)+b plug in your values
31=7.5+b simplify
23.5=b subtract 7.5 from both sides and your given b
y=.5x+23.5 plug everything into slope intercept form (y=mx+b)

6 0

3 years ago

Read 2 more answers

Thickness measurements of ancient prehistoric Native American pot shards discovered in a Hopi village are approximately normally

sasho [114]

Answer:

a) $P(X$

$P(z$

b) $P(X>7.0)=P(\frac{X-\mu}{\sigma}>\frac{7-\mu}{\sigma})=P(Z1.47)$

$P(z>1.47)=1-P(z$

c) $P(3$

$P(-0.882$

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 thickness of a population, and for this case we know the distribution for X is given by:

$X \sim N(4.5,1.7)$

Where $\mu=4.5$ and $\sigma=1.7$

We are interested on this probability

$P(X$

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

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

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

$P(X$

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

$P(z$

Part b

We are interested on this probability

$P(X>3.0)$

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

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

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

$P(X>7.0)=P(\frac{X-\mu}{\sigma}>\frac{7-\mu}{\sigma})=P(Z1.47)$

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

$P(z>1.47)=1-P(z$

Part c

$P(3$

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

$P(-0.882$

3 0

3 years ago

Translate the following verbal expression into an algebraic expression.

poizon [28]

Answer:

3 * (x + 7)

Step-by-step explanation:

Mark number as x

Then the sum of a number and seven is x + 7

Three times x + 7 can be written as

3 * (x + 7)

Parentheses mean that we first add x and 7 and then multiply their sum by 3

Alternatively you can write it as 3x + 21, since

3 * (x + 7) = 3 * x + 3 * 7 = 3x + 21

5 0

3 years ago

(3,-5),(3,-2),(3,5),(3,8) find the slope.

crimeas [40]

Answer:

0

Step-by-step explanation:

- Plot each point on the graph corextly using (x,y).

- The line should go verticle

- Since x doesnt change, there is no slope / the line will go up and down infinate

5 0

3 years ago