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erik [133]
3 years ago
11

SOMEONE PLEASE HELP ME ON QUESTIONS 17-19 I NEED ASAP

Mathematics
1 answer:
Lana71 [14]3 years ago
8 0

Answer:

17. 10x+24 OR 108   18. 72   19. 8.4

Step-by-step explanation:

(10x+24)+72=180

10x+96=180

10x=84

x=8.4

10x+24

10(8.4)+24

84+24

108

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1. Given the following diagram. (a) Name the minor arc __________ Name the major arc ___________ (b) If the minor arc is 112°, w
Dmitriy789 [7]

Answer:

a) XY , XVY

b) 248°

c) UV , UY

d) 6√5 = 13.42

Step-by-step explanation:

a) The minor arc is XY

   The major arc is XVY

b) ∵ The measure of the minor arc is 112°

    ∵ The measure of the circle is 360°

    ∴ The measure of the rest arc = 360 - 112 = 248°

c) UV is the tangent to the circle

   UY is the secant to the circle

d) ∵ UV is a tangent to the circle at V

    ∵ UY is a secant to the circle

    ∴ (UV)² = (UX) × (UY)

    ∵ UX = 9 and XY = 11 ⇒ ∴ UY = 11 + 9 = 20

     ∴ (UV)² = 9 × 20 = 180

      ∴ UV = √180 = 6√5 = 13.42

6 0
3 years ago
Which equation has a constant of proportionality equal to 2?
NemiM [27]

Answer:

A

Step-by-step explanation:

The equation y=kx describes the proportional relationship between variables x and y. In this equation, k is the coefficient of proportionality.

Consider all options:

A. For the equation

y=\dfrac{10}{5}x,

the coefficient of proportionality is

k=\dfrac{10}{5}=2

B. For the equation

y=\dfrac{2}{2}x,

the coefficient of proportionality is

k=\dfrac{2}{2}=1

C. For the equation

y=\dfrac{2}{4}x,

the coefficient of proportionality is

k=\dfrac{2}{4}=\dfrac{1}{2}

D. For the equation

y=\dfrac{22}{22}x,

the coefficient of proportionality is

k=\dfrac{22}{22}=1

5 0
3 years ago
What is BC?<br><br><br>Enter your answer in the box.
miss Akunina [59]

Answer:

BC = 25

Step-by-step explanation:

I'm gonna assume that the triangle is an isosceles triangles, so sorry if this doesn't help!

4x + 1 = 2x + 23

2x + 1 = 23

2x = 22

x = 11

3(11) - 8

33 - 8

= 25

5 0
2 years ago
Assume that females have pulse rates that are normally distributed with a mean of mu equals 73.0μ=73.0 beats per minute and a st
SVETLANKA909090 [29]

Answer:

a) 0.59483

b) 0.88493

c) Option D is correct.

Since the original population has a normal​ distribution, the distribution of sample means is a normal distribution for any sample size.

Step-by-step explanation:

This is a normal distribution problem with

μ = mean = 73 beats per minute

σ = standard deviation = 12.5 beats per minute

The probability that a female's pulse rate is less than 76 beats per minute. P(x < 76)

To do this, we first normalize/standardize the 76 beats per minute

The standardized score for any value is the value minus the mean then divided by the standard deviation.

z = (x - μ)/σ = (76 - 73)/12.5 = 0.24

To determine the probability that a female's pulse rate is less than 76 beats per minute. P(x < 76) = P(z < 0.24)

We'll use data from the normal probability table for these probabilities

P(x < 76) = P(z < 0.24) = 0.59483

b) If 25 adult females are randomly​ selected, the probability that they have pulse rates with a mean less than 76 beats per minute.

This is still a normal distribution problem

The mean of the sample = The population mean

μₓ = μ = 73 beats per minute

But the standard deviation of the sample is related to the standard deviation of the population through the relation

σₓ = σ/√n

where n = Sample size = 25

σₓ = 12.5/√25

σₓ = 2.5

we then normalize/standardize the 76 beats per minute

z = (x - μ)/σ = (76 - 73)/2.5 = 1.20

To determine the probability that the mean of 25 female's pulse rate is less than 76 beats per minute. P(x < 76) = P(z < 1.20)

We'll use data from the normal probability table for these probabilities

P(x < 76) = P(z < 1.20) = 0.88493

c) The problem was to find the probability thay the sample mean is less than a value.

For a normal distribution, the distribution of sample mean too, is normal. It is as simple as that.

4 0
3 years ago
If your travel to another country and the speed limit sign says 55 km/h (which is 55 kilometers per hour). What is the speed lim
Alik [6]
34.175 miles

Why?…I actually just searched it up

7 0
3 years ago
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