The answer:
<span>the two triangles are similar
in addition, the line UV is parallel to line BC, so we can use the theorem of Thales for proving the following ratios:
AV /AC = AU/ AB= UV/ BC
372/589=20x +80 / AB = 444 / 703
</span>so we get (372/589) AB - 80 = 20x, and x = ( (372/589) AB - 80 ) / 20
exact value of x depends on the value of AB
Answer:
Yes. The data provide enough evidence to support the claim that the mean weight of one-year-old boys is greater than 25 pounds.
P-value=P(t>2.84)=0.0024
Step-by-step explanation:
Hypothesis test on the population mean.
The claim is that the mean weight of one-year-old boys is greater than 25 pounds.
Then, the null and alternative hypothesis are:

The significance level is α=0.05.
The sample size is n=354. The sample mean is 25.8 pounds and the sample standard deviation is 5.3 pounds. As the population standard deviation is estimated from the sample standard deviation, we will use a t-statistic.
The degrees of freedom are:

The t-statistic is:

For a right tailed test and 353 degrees of freedom, the P-value is:

As the P-value is smaller than the significance level, the effect is significant and the null hypothesis is rejected.
There is enough evidence to support the claim that the mean weight of one-year-old boys is greater than 25 pounds.
Answer:
option-B
Step-by-step explanation:
we know that
Sum rule of logarithm:

which is same as
the log of a product (ab) is equal to the addition of log a nad log b
Subtraction rule of logarithm:

which is same as
the log of the quotient of a and b is equal to the log of a minus the log of b
Exponent rule of logarithm:

which is same as
the log of the quantity a raised to b is equal to the product of b and the log of a
so,
option-B is not correct
<u>Answer:</u>
0.0005 oz
<u>Step-by-step explanation:</u>
Usually, the greatest number that is allowed for approximation, assuming that the number itself is obtained by approximation, is the greatest possible error of it.
It is normally half the place value of the last digit in a number.
Like here we have
oz which is equal to
oz. The last digit is 5 which is at the thousandth place (0.001) so the greatest possible error for this would be its half.
= 0.0005 oz
Answer:
10
Step-by-step explanation:
39.8/4=9.95, rounds to 10