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2 years ago

Calculate AC to 1 decimal place ?

Mathematics

1 answer:

AlladinOne [14]2 years ago

8 0

Step-by-step explanation:

first we need to find the length of CD, so that we can use Pythagoras to find AC.

to get CD we use again Pythagoras. there is a smaller right-angled triangle on top of the BCD rectangle.

so, AD = 11 = 4 + 7

7 = the vertical leg of the upper right-angled triangle.

the horizontal leg is congruent to CD and is

sqrt(16² - 7²) = sqrt(256 - 49) = sqrt(207).

AC² = sqrt(207)² + 11² = 207 + 121 = 328

AC = sqrt(328) = 18.11077028... cm ≈ 18.1 cm

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erica [24]

Answer:

$P(X>60)=P(\frac{X-\mu}{\sigma}>\frac{60-\mu}{\sigma})=P(Z>\frac{60-49}{16})=P(z>0.6875)$

And we can find the probability with the complement rule and the normal standard distirbution and we got:

$P(z>0.6875)=1-P(z$

Step-by-step explanation:

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

$X \sim N(49,16)$

Where $\mu=49$ and $\sigma=16$

We are interested on this probability

$P(X>60)$

And we can use the z score formula given by:

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

Using this formula we got:

$P(X>60)=P(\frac{X-\mu}{\sigma}>\frac{60-\mu}{\sigma})=P(Z>\frac{60-49}{16})=P(z>0.6875)$

And we can find the probability with the complement rule and the normal standard distirbution and we got:

$P(z>0.6875)=1-P(z$

5 0

3 years ago

It says write an equation of the line shown and the line goes through points 4,3 and 1,-3

RUDIKE [14]

Slope of the line;
slope= $\frac{change in y}{change in x}$
Slope= $\frac{3--3}{4-1}$
Slope,m = $\frac{6}{3} =2$
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y=2x+c
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3=2(4)+c
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3 years ago

Two integers will be randomly selected from the sets above, one integer from set A and one integer from set B. What is the proba

Fittoniya [83]

Question:

A = {2, 3, 4, 5}

B = {4, 5, 6, 7, 8}

Two integers will be randomly selected from the sets above, one integer from set A and one integer from set B. What is the probability that the sum of the two integers will equal 9?

A. 0.15

B. 0.20

C. 0.25

D. 0.30

E. 0.33

Answer:

Option B: 0.20 is the probability of the sum of the two integers.

Explanation:

The sample space for selecting 2 numbers is given by

$4\times 5 = 20$

We need to determine the probability that the sum of two integers will be equal to 9.

Hence, we need to add the two integers from the sets A and B such that their sum will be equal to 9.

Hence, the sets are $(2,7),(3,6),(4,5),(5,4)$

Thus, the total number of sets whose sum is equal to 9 = 4

The probability that the sum of the two integers will equal 9 is given by

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$P=0.20$

Thus, the probability that the sum of the two integers will equal 9 is 0.20

Hence, Option B is the correct answer.

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3 years ago

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Answer:

I think $21 or $7.88

Step-by-step explanation:

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3 years ago

If AB = 12, AC = 16, and ED = 5, find AE.

AleksAgata [21]

Answer:

AE =15

Step-by-step explanation:

BC=16-12 = 4

AE=x

12/4 = x/5

Cross multiplication

4x=60

x=15

4x3 = 12

5x3 =15

5 0

2 years ago