Answer:
The mean of the measurements is 91.17.
Step-by-step explanation:
The mean is the sum of all measurements divided by the number of measurements.
For this problem, we have that:
The sum of all 100 measurements was 9117.0.
So, the sum of all measurements is 9117.
The number of measurements is 100.
So:
![M = \frac{9117}{100} = 91.17](https://tex.z-dn.net/?f=M%20%3D%20%5Cfrac%7B9117%7D%7B100%7D%20%3D%2091.17)
The mean of the measurements is 91.17.
A
It is simply because they mean the same
Mark brainliest please
Answer: d = -16 .
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Explanation:
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Given: 0.2 (d − 6) = 0.3d + 5 − 3 + 0.1 d ; Solve for "d" ;
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→ Note the distributive property of multiplication:
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a (b + c) = ab + ac ;
a (b − c) = ab − ac ;
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As such, we can expand the left-hand side of the question:
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→ 0.2 (d − 6) = (0.2 *d) − (0.2 *6) = 0.2 d − 1.2;
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And rewrite the entire equation:
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→ 0.2 d − 1.2 = 0.3d + 5 − 3 + 0.1 d ;
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→ Let us multiply the ENTIRE equation (both sides) by "10"; to get rid of the decimals:
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→ 10 * {0.2 d − 1.2 = 0.3d + 5 − 3 + 0.1 d} ;
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→ 2d − 12 = 3d + 50 − 30 + 1d ;
→ Combine the "like terms", +3d , +1d ; to get 4d; on the 'right-hand side' of the equation ; and rewrite:
→ 2d − 12 = 4d + 50 − 30 ;
→ Now add "12"; and subtract "2d" from EACH SIDE of the equation;
→ 2d − 12 + 12 − 2d= 4d + 50 − 30 + 12 − 2d ;
→ 0 = 2d + 32 ; ↔ 2d + 32 = 0 ;
→ Subtract "32" from each side of the equation:
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→ 2d + 32 − 32 = 0 − 32 ;
→ 2d = - 32
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→ Now, divide EACH side of the equation by "2" ; to isolate "d" on ONE side of the equation; and to solve for "d" ;
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→ 2d / 2 = - 32 / 2 ;
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→ d = - 16 ; which is our answer.
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Let us check our answer by plugging this value for "d" in the original equation to see if the equation holds true when "d = -16" ;
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→ 0.2 (d − 6) = 0.3d + 5 − 3 + 0.1 d ;
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→ Let us start with the "left-hand side".
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→ 0.2 (d − 6) ; ↔ 0.2*(-16 − 6) ; ↔ 0.2*(-22) = -4.4.
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When "d" = -16 in the right-hand side of the equation,
is the result, "-4.4" ???
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→ 0.3d + 5 − 3 + 0.1 d = ? -4.4 ???
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→ (0.3 * -16) + 5 − 3 + (0.1 * -16) =? -4.4???
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→ (-4.8) + 5 − 3 + (-1.6) = ? -4.4????
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→ (-4.8) + 5 − 3 − (1.6) = ? -4.4????
→ -4.4 =? -4.4??? Yes!!!
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Step-by-step explanation:
4+7+3=14
dime+ nickel= 11
probability is 11/14
Answer:
a) 13/25
b) 12/15
Step-by-step explanation:
a) Since it is with replacement, the chance of them being both the same colour will be
P(both red) + P(both black) = (6/15*6/15) + (9/15*9/15)
= 13/25
b) If they are both different colours, then we will be working out
P(both colours) = (6/15*9/15)*2 = 12/25 (Its *2 because the other way of pulling both colours is 9/15*6/15 which is the same but flipped)
Another way of working this question out is
P(1-All red or all blue) which from above we know that All red or all blue is 13/25 so
P(1-All red or all blue) = 1 - 13/25 = 12/25