Write an equation in slope-intercept form of the line with the given slope m and y-intercept

Your friend says that 14.5% is same as the fraction 29/200. explain whether your friend is correct or incorrect by comparing the

OlgaM077 [116]

14.5% = 0.145

Step-by-step explanation:

The term 'percent' (%) actually means per 100. So when you say 14.5% it means 14.5 per 100. So when you put that into an equation it actually means:

So when you solve it, 14.5% is actually 0.145 and not 14.5.

Your friend is then incorrect because:

14.5% ≠ 14.5

3 0

3 years ago

Read 2 more answers

3 geometry questions, 30 points!

polet [3.4K]

Answer:

A ) The value of x for the given circle with chords and center is 8.3

B) The circumference of circle with chords 1.2 cm and 0.5 cm is 4.082

Step-by-step explanation:

Given two figures :

For Figure first

A circle with center y , having two chords FM and NM

FM = 5 x

MN = 2 x + 25

Now from theorem of circle ,

Chords equidistant from center of circle are equal in length

I.e distance of chord MN from center y and distance of FM from center y are equal

So, FM = MN

Or, 5 x = 2 x + 25

Or, 5 x - 2 x = 25

Or, 3 x = 25

∴ x = $\frac{25}{3}$ = 8.33

For figure second

The length of two adjacent chords of circle is 1.2 cm and 0.5 cm

Let the center of circle = O

Length of chord AB = 1.2 cm

Length of chord BC = 0.5 cm

As both chords are at 90° to each other

So The Length of diameter of circle AC = $\sqrt{AB^{2}+BC^{2}}$

Or, The Length of diameter of circle AC = $\sqrt{1.2^{2}+0.5^{2}}$

Or, The Length of diameter of circle AC = $\sqrt{1.44+0.25}}$

Or, The Length of diameter of circle AC = $\sqrt{1.69}$

∴ The Length of diameter of circle AC = 1.3 cm

So, Circumference of circle = $\pi d$

Or, Circumference of circle = 3.14 × 1.3

∴ Circumference of circle = 4.082 cm

Hence,

A ) The value of x for the given circle with chords and center is 8.3

B) The circumference of circle with chords 1.2 cm and 0.5 cm is 4.082 Answer

8 0

3 years ago

Read 2 more answers

There are 84 jars of jelly on a shelf at the store. Of these, 21 are grape. What percent of the jars of jelly are grape?

Vladimir79 [104]

Answer:

25%

Step-by-step explanation:

Start by dividing 84 by 4 and you get 21. Then take 100 and divide that number by 4, and you get 25. There is your answer. The 21 jars of grape jelly are equal to 25% of the number 84. Hope this helps!

5 0

3 years ago

Out of a sample 650 high school students, 321 take the bus to school every day. construct a 99% confidence interval for the popu

gtnhenbr [62]

A 99% confidence interval for the population mean of high school students that take the bus to school every day is b) ci=(44.34%, 54.43%)

We need to find the 99% confidence interval for the population mean of high school students that take the bus to school everyday

A confidence interval is a range of estimates for an unknown parameter. The confidence interval is calculated at the specified confidence level; the most common is the 95% confidence level, but sometimes other levels are used, such as 90% or 99%.

The confidence interval of proportions is given by:

π ± z √(π (1-π) /n)

π is the sample proportion.

z is the critical value.

n is the sample size.

For 99% confidence interval the value of z is 2.58

π = 321/650

The confidence interval is given by

=321/650 ± 2.58 √( (321/650) × [ 1 - (321/650) ] ÷ 650)

= (0.493846 ± 0.050594)

=(0.4434 , 0.5443)

=(44.34 % , 54.43 %)

Hence a 99% confidence interval for the population mean of high school students that take the bus to school every day is ci=(44.34%, 54.43%)

Learn more about confidence interval:

brainly.com/question/28052710

# SPJ4

8 0

2 years ago

Find f(-2) for the function f (x) = 3x^2-2x+7

barxatty [35]

Answer:

23

Step-by-step explanation:

plug -2 in for x then solve

4 0

3 years ago

Write an equation in​ slope-intercept form of the line with the given slope m and​ y-intercept

Write an equation in slope-intercept form of the line with the given slope m and y-intercept