Translate this phrase into an algebraic expression.

If a bank charges $1.50 for each ATM transaction linked to a checking account, which of these equations can be used to solve for

abruzzese [7]

B.) $1.50x=$19.50

hope that i helped

6 0

3 years ago

Read 2 more answers

Joses ACT score had a z-score of .75.what was his ACT score? mean score=21.1 sd=5.2

Zielflug [23.3K]

Answer:

$X \sim N(21.1,5.2)$

Where $\mu=21.1$ and $\sigma=5.2$

And the z score is given by:

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

And since z = 0.75 we can replace like this:

$0.75 = \frac{x- 21.1}{5.2}$

And if we solve for x we got:

$x = 21.1 +0.75*5.2 = 25$

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".

Solution to the problem

Let X the random variable that represent the ACT scores of a population, and for this case we know the distribution for X is given by:

$X \sim N(21.1,5.2)$

Where $\mu=21.1$ and $\sigma=5.2$

And the z score is given by:

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

And since z = 0.75 we can replace like this:

$0.75 = \frac{x- 21.1}{5.2}$

And if we solve for x we got:

$x = 21.1 +0.75*5.2 = 25$

6 0

3 years ago

If M is the centroid of triangle GHI, HL=45, JI=63, and KG=60, find the missing measures

AysviL [449]

Answer:

Part a) $ML=15\ units$

Part b) $HM=30\ units$

Part c) $JM=21\ units$

Part d) $MI=42\ units$

Part e) $GM=40\ units$

Part f) $MK=20\ units$

Step-by-step explanation:

see the attached figure to better understand the problem

we know that

A centroid of a triangle is the point where the three medians of the triangle meet. A median of a triangle is a line segment from one vertex to the mid point on the opposite side of the triangle.

The centroid is located two thirds of the distance from any vertex of the triangle

Part a) Find ML

we have

$HL=45\ units$