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4 years ago

The table shows the height of different plants in inches.

Mathematics

1 answer:

Reika [66]4 years ago

8 0

Answer:

Step-by-step explanation:

10.25 - 5 dots

10.5 - 4 dots

10.75 - 3 dots

11 - 4 dots

11.25 - 2 dots

Add 10.25, 10.5, 10.75, 11, 11.25 on your horizontal axis. The number of dots is your vertical axis.

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Use a proportion to find 70% of 34.

Zarrin [17]

70% of 34 =

23.8

Hope this helps,

Davinia.

6 0

3 years ago

Read 2 more answers

Fill in the blanks to complete this proof of theorem 2-3.

Basile [38]

Answer:

Therefore.

angle 1 is congruent to angle 3 ...Proved

The proof with steps are below with Fill in the blanks

Step-by-step explanation:

Complementary Angles:

Two angles are Complementary when they add up to 90 degrees.

Example 40° and 50° are Complementary Angles.

If 'x' and 'y' are Complementary Angles the we have

$x+y=90\°$

Here,

Given:

angle 1 and angle 2 are complementary

angle 3 and angle 2 are complementary

To Prove:

angle 1 is congruent to angle 3

Proof:

Step 1:

angle 1 and angle 2 are complementary and angle 3 and angle 2 are complementary because it is Given.

Step 2:

By the definition of complementary angles,

m of angle 1 + m of angle 2 = _90°__ and m of angle 3 + m of angle 2 = _90°_.

Step 3:

Transitive Property of Equality.

Then m of angle 1 + m of angle 2 = m of angle 3 + m of angle 2 by the Transitive Property of Equality.

Step 4:

Subtract m of angle 2 from each side. By the Subtraction Property of Equality, you get

$m\angle 1 +m\angle 2-m\angle 2=m\angle 3+m\angle 2-m\angle 2$

$m\angle 1=m\angle 3$

m of angle 1 = _measure of angle_3_.

Step 5:

Angles with the same measure are _Congruent__,

Step 6:

so angle 1 is congruent to angle 3.

Therefore.

angle 1 is congruent to angle 3 ...Proved

6 0

3 years ago

Dave drives to work each morning at about the same time. His commute time is normally distributed with a mean of 35 minutes and

IgorLugansk [536]

Answer:

The percentage of time that his commute time is less than 44 minutes is equal to the area under the standard normal curve that lies to the left of 1.8.

Step-by-step explanation:

Problems of normally distributed samples can be 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, or the area of the normal curve to the left of Z. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X, or the area of the normal curve to the right of Z.

In this problem, we have that:

$\mu = 35, \sigma = 5$

Less than 44 minutes.

Area to the left of Z when X = 44. So

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

$Z = \frac{44 - 35}{5}$

$Z = 1.8$

So the answer is:

The percentage of time that his commute time is less than 44 minutes is equal to the area under the standard normal curve that lies to the left of 1.8.

7 0

3 years ago

The denominator of a fraction in the simplest form is greater than the numerator by 1. If 4 is added to the numerator, and 3 is

Fantom [35]

Answer:

Step-by-step explanation:

Let the original fraction is: x/ x-1

And we have that: