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photoshop1234 [79]
3 years ago
8

Donna's TV screen is 20 inches long. If the diagonal measures 25 inches, how long is the width of Donna's TV?

Mathematics
1 answer:
lawyer [7]3 years ago
7 0
25^2 - 20^2 = A^2
225 = A^2
The sq root of 225 = 15
The width of Donna’s TV is 15 inches.
Hope this helps!
I would appreciate it if I got brainliest! Thanks! =D
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An investing group has $50,000 to invest. They put the money in an account that has an annual interest rate of 6%, compounded mo
natka813 [3]

Answer:

Use the formula for compound interest to determine the amount of money in each ... An investing group has $50,000 to invest. They put the money in an account that compounds interest ... How much money will the group have at the end of 10 years? 20. Interest is compounded quarterly at Money Bank at a rate of 5.5%.

I don't know if this helps

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4 0
3 years ago
this spinner below is divided into 10 equal sections. what is the probability of spinning it and landing on a number that is div
enyata [817]
20% because there are 10 numbers and 2 of them are a multiple of 5. :)
5 0
3 years ago
Read 2 more answers
For a statistics class project, a college student randomly samples 75 men who exercise at a gym regularly and 68 women who exerc
raketka [301]

Answer:

iii. The data do not provide sufficient evidence to conclude that the mean number of minutes exercised per week is larger for men than for women at this gym

Step-by-step explanation:

1) The hypotheses are

H0: u1 ≤ u2 against the claim Ha: u1 > u2

The men spend less or equal time than the women  at the gym each week

vs

the men  spend greater time  than the women at the gym each week

2) The test statistic is

t= (x1`- x2`) / √ s1²/n1+ s2²/n2

t= 65.7- 64.8/√(13.9)²/75 + (9.6)²/68

t= 0.9/√2.57613 +1.35529

t=0.4539

and the degrees of freedom is

3) υ = [s₁²/n1 + s₂²/n2]²/ (s₁²/n1 )²/ n1-1 + (s₂²/n2)²/n2-1

=[(13.9)²/75 + (9.6)²/68]²/ [(13.9)²/75 ]² /74 + [ (9.6)²/68]²/67

= 139

The degrees of freedom is always rounded in this calculation

4) The Critical region is [1.656, ∞]

5) t-score is outside of the critical region, so there is not enough evidence to reject H₀.

iii. The data do not provide sufficient evidence to conclude that the mean number of minutes exercised per week is larger for men than for women at this gym

4 0
2 years ago
The points A(3, 4), B(3, -2), C(-5, -2), and D(-5, 4) form rectangle ABCD. Which point is halfway between A and B?
Dmitriy789 [7]
 Answer:  " (3,1)  is the point that is halfway between <em>A</em> and <em>B</em>. " 
__________________________________________________
Explanation:
__________________________________________________
We know that there is a "straight line segment" along the y-axis between
 "point A"  and "point B" ;  since, we are given that: 
___________________________________________
 1)  Points A, B, C, and D form a rectangle;  AND:
 
 2) We are given the coordinates for each of the 4 (FOUR points); AND:
 
 3) The coordinates of  "Point A" (3,4)  and "Point B" (3, -2) ; have the same "x-coordinate" value.
________________________________________________
  We are asked to find the point that is "half-way" between A and B.
________________________________________________
  We know that the x-coordinate of this "half-way" point is three.

We can look at the "y-coordinates" of BOTH "Point A" and "Point B".
___________________________
which are "4" and "-2",  respectively.

Now, let us determine the MAGNITUDE of the number of points along the "y-axis" between "y = 4" and y = -2 . 

The answer is:  "6" ;  since, from y = -2 to 0 , there are 2 points, or 2 "units" from y = -2 to y = 0 ;  then, from y = 0 to y = 4, there are 4 points, or 4 "units".

Adding these together,  2 + 4 = 6 units.
______________________________________________
So, the "half-way" point would be 1/2  of  6 units, or 3 units.
__________________________________________________
So, from y = -2 to y = 4 ;  we could count 3 units between these points, along the "y-axis".   Note, we could count "2" units from  "y = -2"  to "y = 0". 
Then we could count one more unit, for a total of 3 units;  from y = 0 to y = 1;  and that would be the answer (y-coordinate of the point).
______________________________________________
Alternately, or to check this answer, we could determine the "halfway" point along the "y-axis" from "y = 4" to "y = -2" ; by counting 3 units along the "y-axis" ; starting starting with "y = 4" ; note:  4 - 3 = 1 ; which is the "y-coordinate" of our answer; that is: "y = 1" ;  and the same y-coordinate we have from the previous (aforementioned) method above.
______________________________________________
We know the "x-coordinate" is "3" ; so the answer:
_________________________________________________
   " (3,1)  is the point that is halfway between <em>A</em> and<em> B </em>." 
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8 0
3 years ago
Multiply or divide as indicated. Leave your answer with no factors in the denominator. p⁻⁴q⁵r⁶/p⁻³qr⁻²
KIM [24]

Answer: \frac{q^4r^8}{p}

Step-by-step explanation:

By the Negative exponent rule, we know that:

a^{-1}=\frac{1}{a}

By the Quotient of powers property, we know that:

\frac{a^m}{a^n}=a^{(m-n)

And by the Product of powers property, we know that:

(a^m)(a^n)=a^{(m+n)}

Applying this properties, we get:

\frac{p^{-4}q^5r^6}{p^{-3}qr^{-2}}=\frac{p^3q^5r^6r^2}{p^4q}=\frac{q^4r^8}{p}

5 0
2 years ago
Read 2 more answers
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