Determine the length of a circumference whose diameter is 14 cm.

For the triangle shown below, complete the following table.

dem82 [27]

Answer:

Step-by-step explanation:

In the given triangle

With reference angle A

perpendicular (P) = 3

hypotenuse (h) = 5

So sin A = p/h = 3/5

and

With reference angle C

perpendicular (p)= 4

hypotenuse (h) = 5

Sin C = p/h = 4/5

hope it helps :)

3 0

3 years ago

Suppose you were given a 95% confidence interval for the difference in two population means. What could you conclude about the p

Savatey [412]

Answer:

(a) The population means are not same.

(b) The population means are same.

Step-by-step explanation:

The hypothesis to test whether there is a significant difference between two population means is:

H₀: There is no difference between the two population means, i.e. μ₁ - μ₂ = 0.

Hₐ: There is no difference between the two population means, i.e. μ₁ - μ₂ ≠ 0.

The decision rule based on confidence interval for the difference between two population means is:

If the confidence interval consists the null value of the difference, i.e. 0 then the null hypothesis will be accepted or else it will be rejected.

(a)

It is provided that the confidence interval for the difference between two population means does not contains 0.

Since the null value of the difference is not contained in the interval, it can be concluded that the null hypothesis will be rejected.

Thus, the population means are not same.

(b)

It is provided that the confidence interval for the difference between two population means does contains 0.

Since the null value of the difference is contained in the interval, it can be concluded that the null hypothesis will not be rejected.

Thus, the population means are same.

6 0

3 years ago

Read 2 more answers

A total of 60% of the customers of a fast food chain order a hamburger, French fries, and a drink. If a random sample of 15 cash

Ne4ueva [31]

Answer:

C. 0.403

Step-by-step explanation:

Binomial distribution has two parameter n and p. Here, n=15 and p=0.60.

We have to find the probability of 10 or more will show that the hamburger, French fries and a drink were ordered. P(X≥10)=?

The binomial probability distribution function for random variable X is

$P(X=x)=nCxp^{x} q^{n-x}$

where q=1-p=1-0.6=0.4,n=15 and p=0.6.

P(X≥10)=P(X=10)+P(X=11)+P(X=12)+P(X=13)+P(X=14)+P(X=15)

$P(X=10)=15C10(0.6^{10})( 0.4^{5})$ =0.185938

$P(X=11)=15C11(0.6^{11}) (0.4^{4})$ =0.126776

$P(X=12)=15C12(0.6^{12}) (0.4^{3})$ =0.063388

$P(X=13)=15C13(0.6^{13}) (0.4^{2})$ =0.021942

$P(X=14)=15C14(0.6^{14}) (0.4^{1})$ =0.004702

$P(X=15)=15C15(0.6^{15}) (0.4^{0})$ =0.000470

P(X≥10)= 0.185938 +0.126776 +0.063388 +0.021942 +0.004702 +0.000470

P(X≥10)=0.403216

So, the probability of 10 or more will show that the hamburger, French fries and a drink were ordered is 0.403.

8 0

3 years ago

Solve the following system of equations Y=5x+4 Y=x2+3x-4

tia_tia [17]

Answer: the following system of equations has 2 solutions

x1=4

X2=-2

Step-by-step explanation:

5*x+4=x²+3*x-4

x²-2*x-8=0

x12=(2+/-√4+4*1*8)/2

x12=(2+/-√36)/2

x1=(2+6)/2=4

x2=(2-6)/2=-2

6 0

4 years ago

Find the length of PQ. Round to the nearest hundredth.

Art [367]

Angle R is the reference angle as its the only given angle (other than the 90 degree angle).

Opposite angle R is segment PQ
PR is the hypotenuse

Use the sine rule to find that...
sin(angle) = opposite/hypotenuse
sin(R) = PQ/PR
sin(19) = PQ/11
11*sin(19) = PQ
PQ = 11*sin(19)
PQ = 3.58124969902872 <<-- use a calculator (degree mode)
PQ = 3.58

Answer: 3.58

6 0

3 years ago