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3 years ago

PLS HELP ASAP :DDDDDDDDDDDDDDDDDDD

Mathematics

1 answer:

gulaghasi [49]3 years ago

6 0

Pythagoras in HBC : $HC=\sqrt{HB^2-BC^2}=\sqrt{20^2-12^2}=16in$

Pythagoras in HDC : $HD=\sqrt{HC^2-CD^2}=\sqrt{16^2-14^2}\approx\boxed{7.7 in}$

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42x^2 + 32 - 18 =6062

Elenna [48]

Okay, we start with 42x^2 + 32 - 18 = 6062. To solve single-variable equations like this one, we want to isolate the x by moving all of the other numbers to the other side of the equation. We need to first subtract 32 and 18, and that equals 14. Now our problem looks like this, 42x^2 + 14 = 6062. Since 14 is the only other number on the left side, we subtract four from both sides! This gives us 42x^2 + 14 - 14 = 6062 - 14, so 42x^2 = 6062. Now to find x, we want to just have one x on the left side instead of 42, so we divide the equation by 42 to find that 42x^2/42 = 6048/42, so x = 12

4 0

3 years ago

In a recent contest, the mean score was 210 and the standard deviation was 25. a) Find the z-score of John who scored 190 b) Fin

denpristay [2]

Answer:

a) $Z = -0.8$

b) $Z = 2.4$

c) Mary's score was 241.25.

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. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this problem, we have that:

$\mu = 210, \sigma = 25$

a) Find the z-score of John who scored 190

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

$Z = \frac{190 - 210}{25}$

$Z = -0.8$

b) Find the z-score of Bill who scored 270

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

$Z = \frac{270 - 210}{25}$

$Z = 2.4$

c) If Mary had a score of 1.25, what was Mary’s score?

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

$1.25 = \frac{X - 210}{25}$

$X - 210 = 25*1.25$

$X = 241.25$

Mary's score was 241.25.

3 0

3 years ago

Read 2 more answers

Scott has a rope 8 metres long. He says, “I need 9 pieces each 0.89 metres long.’’ Will Scott have enough ribbon?

Lelechka [254]

Answer:

Step-by-step explanation:

How did it go from "rope" to "ribbon", therefore, the statement is incorrect. This is a man-made equation that clearly has a mistake. If it was to say, "Will Scott have enough rope?" then the answer will be "YES"

7 0

3 years ago

Y=1/2×-16 y=-2/3×+12 what is value of x ?

larisa86 [58]

Answer:

Is equal 54

Step-by-step explanation:

6 0

3 years ago

Point c partitions line segment AB in the ratio 1:3. What is the y-coordinate of c.

Veseljchak [2.6K]

The y-coordinate of c is -4 if the Point c partitions line segment AB in the ratio of 1:3.

<h3>What is a straight line?</h3>

A straight line is a combination of endless points joined on both sides of the point.

We have two points:

A(-4, -7), and B(12, 5)

Let's assume A(x1, y1) and B(x2, y2)

The ratio is 1:3 = m:n

Let's assume the y-coordinate is a

From the section formula:

$\rm a = \dfrac{my_2+ny_1}{m+n}$

$\rm a = \dfrac{1\times5+3\times(-7)}{1+3}$

a = -4

Thus, the y-coordinate of c is -4 if the Point c partitions line segment AB in the ratio of 1:3.

Learn more about the straight line here:

brainly.com/question/3493733

#SPJ1

8 0

1 year ago