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2 years ago

9

Name the types of special quadrilaterals that will appear when you join two congruent equilateral triangles. (Hint: Make a sketc

h to help you answer. Remember that if you flip one of the two triangles, you may find different quadrilaterals.)

1 answer:

NikAS [45]2 years ago

5 0

The equilateral triangles will form a rhombus.

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The diagram shows the length and width of a laptop, and the length of a larger version of the same brand of a smaller laptop.

Snowcat [4.5K]

Answer:

11.04 in taylor brown

Step-by-step explanation:

3 0

2 years ago

In studies for a medication, 3 percent of patients gained weight as a side effect. Suppose 643 patients are randomly selected.

timofeeve [1]

Part a)

It was given that 3% of patients gained weight as a side effect.

This means

$p = 0.03$

$q = 1 - 0.03 = 0.97$

The mean is

$\mu = np$

$\mu = 643 \times 0.03 = 19.29$

The standard deviation is

$\sigma = \sqrt{npq}$

$\sigma = \sqrt{643 \times 0.03 \times 0.97}$

$\sigma =4.33$

We want to find the probability that exactly 24 patients will gain weight as side effect.

P(X=24)

We apply the Continuity Correction Factor(CCF)

P(24-0.5<X<24+0.5)=P(23.5<X<24.5)

We convert to z-scores.

$P(23.5 \: < \: X \: < \: 24.5) = P( \frac{23.5 - 19.29}{4.33} \: < \: z \: < \: \frac{24.5 - 19.29}{4.33} ) \\ = P( 0.97\: < \: z \: < \: 1.20) \\ = 0.051$

Part b) We want to find the probability that 24 or fewer patients will gain weight as a side effect.

P(X≤24)

We apply the continuity correction factor to get;

P(X<24+0.5)=P(X<24.5)

We convert to z-scores to get:

$P(X \: < \: 24.5) = P(z \: < \: \frac{24.5 - 19.29}{4.33} ) \\ = P(z \: < \: 1.20) \\ = 0.8849$

Part c)

We want to find the probability that

11 or more patients will gain weight as a side effect.

P(X≥11)

Apply correction factor to get:

P(X>11-0.5)=P(X>10.5)

We convert to z-scores:

$P(X \: > \: 10.5) = P(z \: > \: \frac{10.5 - 19.29}{4.33} ) \\ = P(z \: > \: - 2.03)$

$= 0.9788$

Part d)

We want to find the probability that:

between 24 and 28, inclusive, will gain weight as a side effect.

P(24≤X≤28)=

P(23.5≤X≤28.5)

Convert to z-scores:

$P(23.5 \: < \: X \: < \: 28.5) = P( \frac{23.5 - 19.29}{4.33} \: < \: z \: < \: \frac{28.5 - 19.29}{4.33} ) \\ = P( 0.97\: < \: z \: < \: 2.13) \\ = 0.1494$

3 0

3 years ago

Please solve it <br>help!!

Mashcka [7]

Its upsidedown, witch one do you need help with?

4 0

2 years ago

At what time since leaving their flowers do Bee 1 and Bee 2 have the same distance remaining?

GrogVix [38]

By reading the given graph with the two linear functions, we want to see at which time do the two bees have the same distance remaining. We will see that the correct option is B, 6 minutes.

So, in the graph, we have distance remaining on the vertical axis and time on the horizontal axis.

We also have two lines, each one describing the distance of each bee as a function of time.

We want to see at which time do the two bees have the same distance remaining, thus, we need to see when the lines intersect (this means that for the same time, the two bees have the same distance remaining).

In the graph, we can see that the intersection happens at the time of 6 minutes, thus the correct option is B; 6 minutes.

If you want to learn more about linear function's graphs, you can read:

brainly.com/question/4025726

6 0

2 years ago

Write the following proportion using colons. 7 is to 21 as 3 is to 9.

eduard

This is how proportion is written 7:21=3:9. The colons are sign of division so it can be shown in the terms of fraction as 7/21=3/9 or 1/3=1/3

8 0

2 years ago