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Neporo4naja [7]
3 years ago
14

Find the height of an isosceles triangle with two congruent sides of length

Mathematics
1 answer:
kherson [118]3 years ago
7 0

Answer:

119cm

Step-by-step explanation:

add 37 and 24 you get 61 and the size of a triangle no matter what is going to be 180 so then subtract 180 from 61 and get 119.

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How many real number solutions are there to the equation 0=-3x^2 + x -4
natta225 [31]
We have that
<span>the equation
y=-3x</span>²<span> + x -4
the </span><span>real number solutions are the points x intercept of the graph
are the points when y=0

using a graph tool
see the attached figure

</span><span>the graph has no point of intersection with the x axis
</span>therefore

the answer is
there are zero real numbers solutions

8 0
2 years ago
Suppose that grade point averages of undergraduate students at one university have a bell-shaped distribution with a mean of 2.5
masya89 [10]

Answer:

z= \frac{3.44-2.54}{0.45}=2

P(X>3.44) = P(Z>2) = 0.025

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 grade points avergae of a population, and for this case we know the following properties

Where \mu=2.54 and \sigma=0.45

The empirical rule, also referred to as the three-sigma rule or 68-95-99.7 rule, is a statistical rule which states that for a normal distribution, almost all data falls within three standard deviations (denoted by σ) of the mean (denoted by µ). Broken down, the empirical rule shows that 68% falls within the first standard deviation (µ ± σ), 95% within the first two standard deviations (µ ± 2σ), and 99.7% within the first three standard deviations (µ ± 3σ).

So we can find the z score for the value of X=3.44 in order to see how many deviations above or belowe we are from the mean like this:

z= \frac{3.44-2.54}{0.45}=2

So the value of 3.44 is 2 deviations above from the mean, so then we know that the percentage between two deviations from the mean is 95% and on each tail we need to have (100-95)/2 = 2.5% , because the distribution is symmetrical, so based on this we can conclude that:

P(X>3.44) = P(Z>2) = 0.025

5 0
3 years ago
Simplify the radical
mamaluj [8]

Answer:

9d^3

Step-by-step explanation:

~~~\sqrt{81 d^6}\\\\=\left(81 d^6 \right)^{\tfrac 12}\\\\=\left(81\right)^{\tfrac 12} \cdot \left(d^6 \right)^{\tfrac 12}\\\\=\left(9^2 \right)^{\tfrac 12} \cdot d^{\tfrac 62}\\\\=9d^3

4 0
1 year ago
A grasshopper covered a distance of 5 yards in 9 equal hops.How many yards did the grasshopper travel on each hop?
Luda [366]
5/9 = .55555555555 yards traveled per hop
15/9 = 1.6666667 feet per hop
5 0
3 years ago
Read 2 more answers
WILL GIVE BRAINLIEST graph -8=2x-y using the x and y intercepts (show your work pls)
Ahat [919]

Answer:

-8=2x-y get this into y=mx+b form to find the y-intercept

-y=-2x-8

y=2x+8

the y-intercept is 8 so it passes through (0,8)

to find the x-intercept, set y to equal zero

0=2x+8

-8=2x

x=-4

the x-intercept is -4 so it passes through (-4,0)

the slope is 2 based on the slope-intercept form

7 0
3 years ago
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