18.5 x -21.1534 i need help

Can the same radius or diameter have more than one way to be named explain

Dennis_Churaev [7]

Answer:

No, you could write the formula different but not change it

Step-by-step explanation:

6 0

3 years ago

Read 2 more answers

Solve: -rt - 80 > 30 for r. show your work!

vaieri [72.5K]

<h2>Steps:</h2>

So to solve for a variable, we must isolate it onto 1 side of the inequality. In this case, we must isolate r. Firstly, add 80 to both sides of the inequality:

$-rt>110$

Next, divide both sides by t:

$-r>\frac{110}{t}$

Next, multiply both sides by -1. Since we are multiplying by a <em>negative</em> number, flip the inequality symbol as well:

$r$

<h2>Answer:</h2>

<u>In short, your final answer is $r$ </u>

7 0

3 years ago

Find the value of y in the right triangle below.<br><br> A. 40<br> B. 90<br> C. 30<br> D. 50

zhannawk [14.2K]

Answer:

A. 50

Step-by-step explanation:

Sum of interior angles of a triangle is always =180 °

Since this is a right triangle, therefore we know that one angle of the triangle measures 90°

Therefor sum of other two angles has to be = $180\°-90\°=90\°$

One angle measures = 40°

Therefore the missing angle $y=90\°-40\°=50\°$

$y=50\°$

5 0

4 years ago

Mary has gone into a department store with two coupons. One coupon is good for 20% off of the total not including tax. The other

lys-0071 [83]

Answer:

The value of g(f(100)) is 65.

Step-by-step explanation:

It is given that one coupon is good for 20% off of the total not including tax. The other coupon will take $15 off of her pre-tax total.

The given functions are

$f(x)=0.8x$

$g(x)=x-15$

where, f(x) calculates the total after the 20% off coupon and g(x) calculates the total after the $15 dollar off coupon.

We need to find the value of g(f(100)).

$g(f(x))=g[0.8(x)]$ $(\because f(x)=0.8x)$

Substitute x=100 in the above function.

$g(f(100))=g[0.8(100)]$

$g(f(100))=g(80)$

Substitute x=80 in function g(x) to find the value of g(f(100)).

$g(f(100))=80-15$ $(\because g(x)=x-15)$

$g(f(100))=65$

Therefore, the value of g(f(100)) is 65.

g(f(x)) represents the value goods after applying both coupons consecutively.

Therefore, g(f(100)) represents the value of $100 goods after applying both coupons consecutive is 65.

6 0

3 years ago

Information from a sample of 157 restaurant bills collected at the First Crush bistro is available in RestaurantTips. Two interv

wolverine [178]

Answer:

a) The 99% confidence interval is interval B: 3.35 to 4.35

The 90% confidence interval is interval A: 3.55 to 4.15.

b) Check Explanation.

Step-by-step explanation:

Confidence Interval for the population mean is basically an interval of range of values where the true population mean can be found with a certain level of confidence.

Mathematically,

Confidence Interval = (Sample mean) ± (Margin of error)

Margin of Error is the width of the confidence interval about the mean.

It is given mathematically as,

Margin of Error = (Critical value) × (standard Error of the mean)

Critical value is obtained from either the t-distribution or the z-distribution tables. It depends on sample size and for smaller sample sizes, whether there is information provided for the population mean and standard deviation.

But whether z-distribution or t-distribution, the critical value increases as the confidence level increases.

Hence, the critical value for the 99% confidence level will be higher than the critical value for the 90% confidence level.

And since all the other parameters that determine the confidence interval and it's width (sample mean and the standard error of the mean) are the same for the 90% and the 99% confidence interval, the larger critical value for the 99% confidence interval means that it has the bigger width.

Hence, of the two intervals given,

Interval A: 3.55 to 4.15

Interval B: 3.35 to 4.35

The larger interval, (3.35, 4.35) is the 99% confidence interval and the smaller interval, (3.55, 4.15) is the 90% confidence interval.

b) The data required for this second part isn't available, but the answer for the confidence interval can be obtained using the steps I have given above and below.

Like I have given above,

Confidence Interval = (Sample mean) ± (Margin of error)

Margin of Error = (Critical value) × (standard Error of the mean)

The sample mean and the standard error of the mean are obtained from the sample data (which is missing).

Sample mean = (Σx)/N

x = each variable

N = number of variables = 20

Standard error of the mean = σₓ = (σ/√n)

σ = standard deviation (obtained from the sample data)

90% critical value for sample size of 20 = 1.73

99% critical value for sample size of 20 = 2.86

Hope this Helps!!!

4 0

4 years ago