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valentinak56 [21]
3 years ago
13

80% of what # is 32 games

Mathematics
1 answer:
Alexxx [7]3 years ago
5 0
80% of 40 is 32 games

Convert your percentage into a decimal: 
\frac{80}{100} = 0.8

Divide 32 by the decimal:
32 \div 0.8 = 40
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A random sample of 500 people is taken. 260 of them rent (as oppose to own) their residence. Compute a 95% confidence interval f
kirill [66]

Answer: A 95% confidence interval for the true proportion (p) will be (0.4762136, 0.5637864).

Step-by-step explanation:

Let p = True proportion of people rent their residence.

Given: n= 500

People rent their residence = 260

p=\dfrac{260}{500}=0.52

z-value for 95% confidence level = 1.96

A 95% confidence interval for the true proportion will be :

p\pm z^*\sqrt{\dfrac{p(1-p)}{n}}

0.52\pm (1.96)\sqrt{\dfrac{0.52(1-0.52)}{500}}\\\\=0.52\pm(1.96\sqrt{\dfrac{0.2496}{500}})\\\\=0.52\pm 1.96\sqrt{0.0004992}\\\\=0.52\pm (1.96)(0.02234)\\\\=0.52\pm0.0437864\\\\=(0.52-0.0437864,\ 0.52+0.0437864)\\\\=(0.4762136,\ 0.5637864)

A 95% confidence interval for the true proportion (p) will be (0.4762136, 0.5637864).

6 0
3 years ago
Find the equation (in terms of x ) of the line through the points (-5,-1) and (3,-4)
Nataly [62]

9514 1404 393

Answer:

  y = -3/8x -23/8

Step-by-step explanation:

The slope is found using the slope formula:

  m = (y2 -y1)/(x2 -x1)

  m = (-4 -(-1))/(3 -(-5)) = -3/8

Then the point-slope equation of the line is ...

  y -k = m(x -h) . . . . line with slope m through point (h, k)

For m = -3/8 and (h, k) = (-5, -1), the line is ...

  y +1 = -3/8(x +5)

In slope-intercept form, this is ...

  y = -3/8x -23/8

4 0
3 years ago
How many combinations of pennies (1 cent), nickels (5 cents) and/or dimes (10 cents) are there with a total value of 25 cents?
Dmitriy789 [7]
Hello ,
there are 12 combinations

 num           x             y             z
 1             0             1             2
 2             0             3             1
 3             0             5             0
 4             5             0             2
 5             5             2             1
 6             5             4             0
 7             10            1             1
 8             10            3             0
 9             15            0             1
 10            15            2             0
 11            20            1             0
 12            25            0             0

 



DIM x AS INTEGER, y AS INTEGER, z AS INTEGER, k AS INTEGER
'OPEN "c:\nosdevoirs\monnaie.sol" FOR OUTPUT AS #1
k = 0
FOR x = 0 TO 25
    FOR y = 0 TO 5
        FOR z = 0 TO 3
            IF x + 5 * y + 10 * z = 25 THEN
                k = k + 1
                PRINT k, x, y, z
'                PRINT #1, k, x, y, z

            END IF
        NEXT z
    NEXT y
NEXT x
'CLOSE #1
END


7 0
3 years ago
Which point of intersection is the solution to the system that of equations y= 2/5x-1/2 and y=-1/3x+2/3
Mrrafil [7]

Answer:

x = 35/22

y = 3/22

Step-by-step explanation:

y= 2/5x-1/2 ................(1)

y=-1/3x+2/3 ...............(2)

10*(1)

10y = 4x -5 ...................(1A)

3*(2)

3y = -x +2  ....................(2A)

To find intersection, solve for y & x

4(2A) + (1A)

12y+10y = -4x+4x +8-5

22y = 3

y = 3/22

Substitute in (1)

3/22 = 2/5x -1/2

multiply by 110

15 = 44x - 55

70 = 44x

x = 70/44 = 35/22

5 0
3 years ago
A force vector M points 3 N in the x-direction and 4 N in the y-direction. What is Vector M’s magnitude?
julsineya [31]

Answer:

5 N.

Step-by-step explanation:

Given that,

A force vector M points 3 N in the x-direction and 4 N in the y-direction.

We need to find the magnitude of vector M. The magnitude of the vector when they are perpendicular to each other is given by :

M=\sqrt{3^2+4^2} \\\\M=5\ N

So, the required magnitude of M is 5 N.

8 0
3 years ago
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