Answer:
-2
Step-by-step explanation:
the answer would be 23 because 46 and 2 are both common factors of 23.
Three students want to estimate the mean backpack weight of their schoolmates. To do this, they each randomly chose 8 schoolmates and weighed their backpacks. Then as per the given sample data,
(a) The sample means of the backpacks are: 6.375,6.375,6.625
(b) Range of sample means: 0.25
(c)The true statement is: The closer the range of the sample means is to 0, the less confident they can be in their estimate.
For the first sample, mean= 6.375
For the second sample, mean= 6.375
For the third sample, mean= 6.625
Range of sample means=Maximum Mean- Minimum Mean
= 6.625 - 6.375
= 0.25
The students will estimate the average backpack weight of their classmates using sample means, the true statement is:
The closer the range of the sample means is to 0, the more confident they can be in their estimate.
Learn more about range here:
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Answer:
The price of the computer is $1,152
Step-by-step explanation:
Let the price of the computer be $x
The first boy boy had 7/8 of this amount, the amount he has is thus 7/8 × $x = 7x/8
The second boy had 5/6 of what the first boy had. The amount of money he has is thus 5/6 × 7x/8 = 35x/48
Now, the addition of what they have is $696 more than what they need to pay. This amount is x+ 696
Mathematically, this can be represented as;
7x/8 + 35x/48 = x + 696
(42x + 35x)/48 = (x + 696)
77x/48 = (x + 696)
77x = 48(x + 696)
77x = 48x + 33408
77x - 48x = 33408
29x = 33, 408
x = 33,408/29
x = $1,152
Checking the <span>discontinuity at point -4
from the left f(-4) = 4
from the right f(-4) = (-4+2)² = (-2)² = 4
∴ The function is continues at -4
</span>
<span>Checking the <span>discontinuity at point -2
from the left f(-2) = </span></span><span><span>(-2+2)² = 0
</span>from the right f(-2) = -(1/2)*(-2)+1 = 2
∴ The function is jump discontinues at -2
</span>
<span>Checking the <span>discontinuity at point 4
from the left f(4) = </span></span><span><span>-(1/2)*4+1 = -1
</span>from the right f(4) = -1
but there no equality in the equation so,
</span><span>∴ The function is discontinues at 4
The correct choice is the second
point </span>discontinuity at x = 4 and jump <span>discontinuity at x = -2</span>
