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3 years ago

What is the value of x in units

Mathematics

2 answers:

nikdorinn [45]3 years ago

6 0

$\triangle RQT\ \text{and}\ \triangle SRT\ \text{are similar. Therefore the sides are in proportion.}\\\\\dfrac{RT}{TQ}=\dfrac{TS}{RT}\\\\\text{We have}\ RT=x,\ TQ=16,\ TS=9.\ \text{Substitute:}\\\\\dfrac{x}{16}=\dfrac{9}{x}\qquad\text{cross multiply}\\\\x^2=(9)(16)\\\\x^2=144\to x=\sqrt{144}\\\\\boxed{x=12}$

castortr0y [4]3 years ago

3 0

The value of x in units would be 8 I could be completely wrong though

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The length of human pregnancies from conception to birth varies according to a distribution that is approximately normal with me

iragen [17]

Answer:

a) 229 and 305 days

b) 229 days or less

c) 305 days or more

Step-by-step explanation:

The Empirical Rule(68-95-99.7 rule) states that, for a normally distributed random variable:

68% of the measures are within 1 standard deviation of the mean.

95% of the measures are within 2 standard deviation of the mean.

99.7% of the measures are within 3 standard deviations of the mean.

In this problem, we have that:

Mean = 267

Standard deviation = 19

(a) Between what values do the lengths of the middle 95% of all pregnancies fall?_____________and___________days

By the Empirical rule, 95% of all pregnancies fall within 2 standard deviations of the mean.

267 - 2*19 = 229 days

267 + 2*19 = 305 days

(b) How short are the shortest 2.5% of all pregnancies?______days or less

95% of all pregnancies fall within 2 standard deviations of the mean. The other 5% are more than 2 standard deviations from the mean. Since the distribution is symmetric, 2.5% is more than 2 standard deviations below the mean(shortest 2.5%) and 2.5% is more than 2 standard deviations above the mean(longest 2.5%). So

267 - 2*19 = 229 days

c) How long do the longest 2.5% of pregnancies last?________days or more

Explanation in b)

267 + 2*19 = 305 days

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3 years ago

Most people Just most people in the nine states use feet in miles to measure distance in there every day lives why do you scient

babunello [35]

The third answer should be the right one

8 0

3 years ago

Please write down your work on the loose leaf, take a CLEAR picture, and upload here. Thank you.

Zigmanuir [339]

Answer:

m(∠C) = 18°

Step-by-step explanation:

From the picture attached,

m(arc BD) = 20°

m(arc DE) = 104°

Measure of the angle between secant and the tangent drawn from a point outside the circle is half the difference of the measures of intercepted arcs.

m(∠C) = $\frac{1}{2}[\text{arc(EA)}-\text{arc(BD)}]$

Since, AB is a diameter,

m(arc BD) + m(arc DE) + m(arc EA) = 180°

20° + 104° + m(arc EA) = 180°

124° + m(arc EA) = 180°

m(arc EA) = 56°

Therefore, m(∠C) = $\frac{1}{2}(56^{\circ}-20^{\circ})$

m(∠C) = 18°

8 0

3 years ago

Which of these is greatest number that rounds to 9?

Sonja [21]

If anything is above 5 it will round up

3 0

3 years ago

Read 2 more answers

Solve the system (x-1)²+(y-2)²=2² and y=2x+2.

Likurg_2 [28]

Answer:

(x, y) = (-0.6, 0.8) or (1, 4)

Step-by-step explanation:

Use the second equation to substitute for y in the first.

(x -1)² +((2x +2) -2)² = 4

x -2x +1 + 4x² = 4 . . . . . . . eliminate parentheses

5x² -2x -3 = 0 . . . . . . . . . . subtract 4, collect terms

Now we can rearrange the middle term to ease factoring by grouping.

(5x² -5x) +(3x -3) = 0

5x(x -1) +3(x -1) = 0

(5x +3)(x -1) = 0

The values of x that make these factors zero are ...

x = -3/5, x = 1

The corresponding values of y are ...

y = 2(-3/5)+2 = 4/5 . . . . for x = -3/5

y = 2(1) +2 = 4 . . . . . . . . for x = 1

The solutions are: (x, y) = (-3/5, 4/5) or (1, 4).

___

A graphing calculator verifies these solutions.

3 0

3 years ago