Ask question

Ask question

All categories

3 years ago

10

In a trapezoid with bases of lengths a and b, a line parallel to the bases is drawn through the intersection point of the diagon

als. Find the length of the segment that is cut from that line by the legs of the trapezoid.

1 answer:

mote1985 [20]3 years ago

3 0

if we name that part x, then we can say

1/x = 1/a + 1/b

You might be interested in

Please help idk thisssss

Alekssandra [29.7K]

ANSWER
$0.073 \% = 0.00073$

EXPLANATION

Recall that,

$\% = \frac{1}{100}$

That is why
$100\%$
is equivalent to
$1.$

This implies that,

$0.073\% = 0.073 \times \frac{1}{100}$

This is the same as,

$0.073\% = \frac{0.073}{100}$

When we are dividing by
$100$
we move the decimal point backwards two times.

This implies that,

$0.073\% = 0.00073$

6 0

3 years ago

Read 2 more answers

Two simple questions

frutty [35]

Oh i love these x=4,y=9

3 0

2 years ago

What is the slope of the line that contains the points (0,-8) and (4,1)?

eduard

The slope of the line is:(1-(-8))/4-0=9/4

7 0

2 years ago

The distribution of resistance for resistors of a certain type is known to be normal, with 10% of all resistors having a resista

baherus [9]

Answer:

The mean is 9.65 ohms and the standard deviation is 0.2742 ohms.

Step-by-step explanation:

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

10% of all resistors having a resistance exceeding 10.634 ohms

This means that when X = 10.634, Z has a pvalue of 1-0.1 = 0.9. So when X = 10.634, Z = 1.28.

$Z = \frac{X - \mu}{\sigma}$

$1.28 = \frac{10.634 - \mu}{\sigma}$

$10.634 - \mu = 1.28\sigma$

$\mu = 10.634 - 1.28\sigma$

5% having a resistance smaller than 9.7565 ohms.

This means that when X = 9.7565, Z has a pvalue of 0.05. So when X = 9.7565, Z = -1.96.

$Z = \frac{X - \mu}{\sigma}$

$-1.96 = \frac{9.7565 - \mu}{\sigma}$

$9.7565 - \mu = -1.96\sigma$

$\mu = 9.7565 + 1.96\sigma$

We also have that:

$\mu = 10.634 - 1.28\sigma$

So

$10.634 - 1.28\sigma = 9.7565 + 1.96\sigma$

$1.96\sigma + 1.28\sigma = 10.645 - 9.7565$

$3.24\sigma = 0.8885$

$\sigma = \frac{0.8885}{3.24}$

$\sigma = 0.2742$

The mean is

$\mu = 10.634 - 1.28\sigma = 10 - 1.28*0.2742 = 9.65$

The mean is 9.65 ohms and the standard deviation is 0.2742 ohms.

8 0

3 years ago

Suppose y varies directly as x, and Y=80 when x=16 . Which of the following statements is true?

liubo4ka [24]

The following answer is B because it shows that it has to multiply the x - axis by the slope (5) to make sure that it can be equat to the y - axis.

y = 5x
y =5(16)
y = 80

(x, y) = (16, 80)

5 0

3 years ago