AAAAAAAAAAAAAAAA HELP PLEASE HELP

Mario drew an isosceles triangle and named it triangle PQR. Mario measured the perimeter and found that it was 21 inches. If the

pishuonlain [190]

Answer:

A and C

Step-by-step explanation:

Since it is isosceles two sides should be equal and we already know the perimeter is 21in.

5+5+11=21in

5+8+8=21in

3 0

3 years ago

Read 2 more answers

"6. A brand name has a 40% recognition rate. Assume the owner of the brand wants to verify that rate by beginning with a small s

statuscvo [17]

Answer:

(a) The probability that exactly 5 of the 6 consumers recognize the brand name is 0.0369.

(b) The probability that all of the selected consumers recognize the brand name is 0.0041.

(c) The probability that at least 5 of the selected consumers recognize the brand name is 0.041.

(d) The events of 5 customers recognizing the brand name is unusual.

Step-by-step explanation:

Let X = number of consumer's who recognize the brand.

The probability of the random variable X is, P (X) = p = 0.40.

A random sample of size, n = 6 consumers are selected.

The random variable X follows a Binomial distribution with parameters n and p.

The probability mass function of X is:

$P(X=x)={n\choose x}p^{x}(1-p)^{n-x};\ x=0,1,2,3...$

(a)

Compute the value of P (X = 5) as follows:

$P(X=5)={6\choose 5}0.40^{5}(1-0.40)^{6-5}\\=6\times0.01024\times0.60\\=0.036864\\\approx0.0369$

Thus, the probability that exactly 5 of the 6 consumers recognize the brand name is 0.0369.

(b)

Compute the value of P (X = 6) as follows:

$P(X=6)={6\choose 6}0.40^{6}(1-0.40)^{6-6}\\=1\times 0.004096\times1\\=0.004096\\\approx0.0041$

Thus, the probability that all of the selected consumers recognize the brand name is 0.0041.

(c)

Compute the value of P (X ≥ 5) as follows:

P (X ≥ 5) = P (X = 5) + P (X = 6)

= 0.0369 + 0.0041

= 0.041

Thus, the probability that at least 5 of the selected consumers recognize the brand name is 0.041.

(d)

An event is considered unusual if the probability of its occurrence is less than 0.05.

The probability of 5 customers recognizing the brand name is 0.0369.

This probability value is less than 0.05.

Thus, the events of 5 customers recognizing the brand name is unusual.

8 0

4 years ago

the surface area of a sphere is 1,017.36 square inches.what is the volume of the sphere? use 3.14 for pi

emmasim [6.3K]

Answer:

Area = 254.34 inches ³

Step-by-step explanation:

The formula to find the surface area of a sphere is:

$SA = 4\pi r^{2}$

To find the volume of the sphere, we first need to figure out the radius ( $r$ ) of the sphere. We can accomplish this by reversing the formula that was used to find the surface area. $(1017.36 in^{2})$

$SA = 4\pi r^{2}$

$1017.36 = 4\pi r^{2}$

Divide both sides by pi ( $3.14$ ).

$1017.36 = 4\pi r^{2}$

$324 = 4 r^{2}$

Divide both sides by 4.

$324 = 4 r^{2}$

$81 = r^{2}\\$

Find the square root of both sides.

$81 = r^{2}\\$

$\sqrt{81} = r$

radius = 9

Insert the value of the radius into the formula for finding the volume of a sphere. $(A=\pi r^{2})$

$(A=\pi r^{2})$

$A=\pi (9)^{2}$

$A=\pi (81)$

$A = 254.34$

Area = 254.34 inches ³

~Hope this helps!~

4 0

3 years ago

Solve the equation for x.

aliina [53]

Answer:

X is equal to 7

Step-by-step explanation:

Open parenthesis.

3/4x +63/4=21/2

take common denominator

3/4x=42/4-63/4

Solve

3/4x=-21/4

3x=21

x=7

7 0

3 years ago

PLEASE HELP!!!!! What values complete each statement? Enter your answers in the boxes. (16‾‾‾√)2 = _ in simplest form. By the Po

mario62 [17]

We are given expression: $(\sqrt{16})^2$ .

Square root in exponent form is power $\frac{1}{2}$ .

Therefore, $\sqrt{16} = 16^{1/2}$ .

Now, replacing square root of 16 by $16^{1/2}$ in original expression we are given, we get

$(\sqrt{16})^2 = (16^{1/2})^2 = (16)^2/2 = 16$ .

Therefore,

<h3> $(\sqrt{16})^2$ = 16 in simplest form. By the Power of Power rule, $(16^{1/2})^2=16^{2/2}$ . So, $16^{1/2}$ must equal $\sqrt{16}$ in radical form.</h3>

8 0

4 years ago