All categories

4 years ago

Quadrilateral ABCD is inscribed in this circle. What is the measure of angle c?

Mathematics

1 answer:

prisoha [69]4 years ago

4 0

3x+x+20 = 180
4x = 180-20
4x = 160
x = 40

×+20+3x+2x+38+C=360
40+20+3×40+2×40+38+C=360
40+20+120+80+38+C=360
298+C=360
C=360-298
C =62°

You might be interested in

What percent of 768 is 292

lions [1.4K]

Answer:

Step 1: Percentage Formula = Number1/Number2 x 100

Step 2: plugin the 292 and 768 to the percentage formula and we get 292/768 x 100 = 38.02%

Step-by-step explanation:

8 0

3 years ago

When a fisherman catches a fish, the probability that it is a young one is 0.23 . All young fishes are returned to the water. On

max2010maxim [7]

Answer:

The value is $P(X = 3) = 0.0725$

Step-by-step explanation:

From the question we are told that

The probability catching a young fish is q = 0.23

The number of fish that was caught is n = 5

Generally the probability of catching a adult fish is mathematically represented as

$p = 1 -q$

=> $p = 1 - 0.23$

=> $p = 0.77$

Generally for a fish to be edible it must be an adult fish.

Generally the distribution of the number of fish the fisher man caught follows a binomial distribution

i.e

$X \~ \ \ \ B(n , p)$

and the probability distribution function for binomial distribution is

$P(X = x) = ^{n}C_x * p^x * (1- p)^{n-x}$

Here C stands for combination hence we are going to be making use of the combination function in our calculators

$P(X = 3) = \ ^5C_3 *(0.77)^{3} * (0.23)^{5- 3 }$

=> $P(X = 3) = 3 * 0.45653 * 0.0529$

=> $P(X = 3) = 0.0725$

4 0

3 years ago

128 gallons X 12 months

Flura [38]

Answer:

1536 gallons . month

Step-by-step explanation:

4 0

3 years ago

Read 2 more answers

Your class is selling boxes of flowers as a fundraiser. The profit p depends on the amount x that your class charges for each bo

Korvikt [17]

Answer:

$ 22.6

Step-by-step explanation:

Given that

Price charged for each box of seeds = x

Profit gained from from selling boxes of seeds = p

The equation of profit is modeled as

P(x) = 0.5x² + 36x - 179

As per given information if the fundraisers make a profit of $379 then find the minimum price charged for each box of seed.

Now our above equation becomes

379 = -0.5x² + 36x - 179

Simplifying

379+179 = -0.5x² + 36x

558 = -0.5x² + 36x

0.5x² - 36x + 558 =0

multipying both sides of equation by 2

2(0.5x² - 36x + 558) = 2x0

x² - 72x +1116 = 0

Using quadratic formula we get the following factors

x= 49.4 or x= 22.60

As we can the smalles value is 22.6

So, they can charge 22.6 dollar for each bag of seeds in order to get profit of 379 dollars.

NOTE.- just substitute values and resolve

5 0

4 years ago

Construct a 95% confidence interval for the population mean, μ. Assume the population has a normal distribution. A random sample

GuDViN [60]

Answer: $(628.48,\ 661.52)$

Step-by-step explanation:

Given : Sample size : $n=16$ , which is a small sample (, 30) so we use t-test.

Sample mean : $\overline{x}=645 \text{ hours}$

Standard deviation : $\sigma = 31 \text{ hours}$

Significance level : $\alpha=1-0.95=0.05$

Critical value : $t_{n-1,\alpha/2}=2.131$

The confidence interval for population mean is given by :-

$\overline{x}\pm t_{n-1,\alpha/2}\dfrac{\sigma}{\sqrt{n}}\\\\=645\pm(2.131)\dfrac{31}{\sqrt{16}}\\\\\approx645\pm16.52\\\\=(645-16.52,\ 645+16.52)\\\\=(628.48,\ 661.52)$

Hence, a 95% confidence interval for the population mean $\mu$ = $(628.48,\ 661.52)$

6 0

3 years ago