Write each fraction as a decimal use bar notation if necessary -6/7

Consider the compound inequality x < 4 and x>a. If a=4 and the compounding word were "or" instead of "and",what would the

FinnZ [79.3K]

Answer:

We have:

x < 4 AND x > a.

if a = 4 and we use an "or" instead of the "and" we have:

x < 4 or x > 4.

This is:

"x is larger than 4 or smaller than 4."

Then the solution of this is all the real numbers except the value x = 4.

The set of solutions can be written as:

{xI x ∈ R \ [4]}

Where this reads:

"x belongs to the set of the reals minus the number 4".

Or we also could write it as:

x ∈ (-∞, 4) ∪ (4, ∞)

Where we have two open ends in the "4" side, so the value x = 4 does not belong to that set.

4 0

2 years ago

The stem and leaf plot shows the temperatures of patients who registered at a clinic one day. How many patients registered at th

Alex Ar [27]

Answer : 24

Explanation : As the attachment when referred for finding the number of patients registered. we have to just count the right integer part of the given plot.

As the plot describes the temperature of the patients on the left side and the number of times it was repeated.

So, the number of values is given by the number of leaves, one has to simply have to count the digits that are there on the right part of the plot

Which comes to the count of 24.

8 0

2 years ago

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Musa invest R1000 on a simple interest at a rate of 8% per annum for 3 years.How much money will be in his account by the end of

Serjik [45]

Answer:

Step-by-step explanation:

1000*(1+8:100)^3=1000*1 ,08^3=1000*1,259712=1259,712

8 0

2 years ago

Find the number of sides of a regular polygon in which the measure of an interior angle is three times the measure of an exterio

Serhud [2]

The sum of the interior angles of any polygon is given by (n-2)180°, where n is the number of sides.

Also sum of all the exterior angles of any polygon is 360°

Given (n-2)180° = 3(360°)

=> n-2 = 6

=> n = 8.

Hence the number of sides of a polygon is 8

6 0

2 years ago

Given gif and GHF, write three proportions involving geometric mean.<br>

almond37 [142]

Answer:

$\frac{z}{h}=\frac{h}{y}\\\\\frac{a}{x}=\frac{x}{z}\\\\\frac{a}{w}=\frac{w}{y}$

Step-by-step explanation:

For this exercise it is important to remember that a Right triangle is a triangle that has an angle that measures 90 degrees.

According to the Altitude Rule, given a Right triangle, if you draw an altitude from the vertex of the angle that measures 90 degrees (The right angle) to the hypotenuse, the measure of that altitude is the geometric mean between the measures of the two segments of the hypotenuse.

In this case, you can identify that the altitude that goes from the vertex of the right angle ( $\angle G=90\°$ ) to the hypotenuse of the triangle, is:

$GF=h$

Then, based on the Altitude Rule, you can set up the following proportion:

$\frac{z}{h}=\frac{h}{y}$

According to the Leg Rule, each leg is the mean proportional between the hypotenuse and the portion of the hypotenuse that is located directly below that leg of the triangle.

Knowing this, you can set up the following proportions:

$\frac{a}{x}=\frac{x}{z}\\\\\frac{a}{w}=\frac{w}{y}$

6 0

3 years ago

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