If BCD ~ GEF, find BD

Elias likes to read during his summer breaks. The table below shows the number of pages in each book he read last summer and the

user100 [1]

Answer:

A.The modes differ by 40 and the ranges differ by 40.

Step-by-step explanation:

The mode of a data set is the value that occurs most often.

For the data from last summer, the value 190 is in the list twice, while all other values are only in once. This means 190 is the mode.

For the data from this summer, the value 150 is in the list twice, while all other values are only in once. This means 150 is the mode. This also means the difference in modes is 190-150 = 40.

The range is the difference between the maximum and minimum values in a data set. For last summer's data, the maximum is 220 and the minimum is 140; this gives us 220-140 = 80 for the range.

For this summer's data, the maximum is 190 and the minimum is 150; this gives us 190-150 = 40 for the range. This means the difference in ranges is 80-40 = 40.

7 0

1 year ago

Read 2 more answers

What can be concluded about the graphed polygon? mc013-1.jpg The polygon is a rectangle. Adjacent sides of the polygon are perpe

Usimov [2.4K]

From the given graph, the image is a trapezoid.
Therefore,
The first option, "the polygon is a rectangle" is incorrect.
The second option "Adjacent sides of the polygon are perpendicular." cannot be true as well because trapezoid has one the adjacent sides which is not perpendicular.
Third option" Opposite sides of the polygon are parallel", this can't be true as well because only two sides are parallel.
Fourth option " The slope of side c is 0.", this is true because line c is a horizontal line with zero rise and maximum run. Therefore,
Slope = 0 ÷ 9
 = 0

5 0

2 years ago

Read 2 more answers

A shoe factory produces 1.81 × 104 pairs of shoes each month. Estimate how many pairs of shoes the factory will produce if it ma

quester [9]

Answer:

2*10 ^6 shoes in 10 years

Step-by-step explanation:

1.81 × 10^4 pairs of shoes each month

1.2 × 10^2 months in 10 years

Multiply these together to determine the number of shoes in 10 years

1.81 × 10^4 * 1.2 × 10^2

We want to estimate so 1.81 is approximately 2 and 1.2 is approximately 1

2 × 10^4 * 1 × 10^2

Multiply the numbers

2*1 = 2

Add the exponent

10 ^ ( 4+2)

10 ^6

Put this back together

2*10 ^6

4 0

2 years ago

Read 2 more answers

The highest recorded temperature during the month of July for a given year in Death Valley, California has an approximately norm

S_A_V [24]

Answer:

$P(X$

And we can find this probability using excel or the normal standard tabe and we got:

$P(z$

Step-by-step explanation:

Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".

Solution to the problem

Let X the random variable that represent the temperatures of a population, and for this case we know the distribution for X is given by:

$X \sim N(123.8,3.1)$

Where $\mu=123.8$ and $\sigma=3.1$

We are interested on this probability

$P(X$

And the best way to solve this problem is using the normal standard distribution and the z score given by:

$z=\frac{x-\mu}{\sigma}$

If we apply this formula to our probability we got this:

$P(X$

And we can find this probability using excel or the normal standard tabe and we got:

$P(z$

6 0

2 years ago

Three highways connect city A with city B. Two highways connect city B with city C.

QveST [7]

(a) The probability that there is no open route from A to B is (0.2)^3 = 0.008.
Therefore the probability that at least one route is open from A to B is given by: 1 - 0.008 = 0.992.
The probability that there is no open route from B to C is (0.2)^2 = 0.04.
Therefore the probability that at least one route is open from B to C is given by:
1 - 0.04 = 0.96.
The probability that at least one route is open from A to C is:
$0.992\times0.96=0.9523$

(b)
α The probability that at least one route is open from A to B would become 0.9984. The probability in (a) will become: $0.9984\times0.96=0.95846$

β The probability that at least one route is open from B to C would become 0.992. The probability in (a) will become:
$0.992\times0.992=0.9841$

Gamma: The probability that a highway between A and C will not be blocked in rush hour is 0.8. We need to find the probability that there is at least one route open from A to C using either a route A to B to C, or the route A to C direct. This is found by using the formula:
$P(A\cup B)=P(A)+P(B)-P(A\cap B)$
$0.9523+0.8-(0.9523\times0.8)=0.99$
Therefore building a highway direct from A to C gives the highest probability that there is at least one route open from A to C.

4 0

2 years ago