If z = 3cis30°, z3 in rectangular form is _____ +____

Assume that when adults with smartphones are randomly selected, 46% use them in meetings or classes. If 9 adult smartphone use

valina [46]

Answer:

0.18173219.

Step-by-step explanation:

We have been asked to find what will be the probability that at least 6 of 9 adults use their smartphones in meetings or classes.

We will find our answer using Bernoulli's trails.

$_{r}^{n}\textrm{c}\cdot p^{r}\cdot (1-p)^{n-r}$

First of all we will find the probabilities when r is 6, 7,8 and 9 then we will add them all.

When r=6,

$_{6}^{9}\textrm{c}\cdot 0.46^{6}\cdot (1-0.46)^{9-6}$

$\frac{9!}{6!3!} *0.46^{6} *0.54^{3}$

$\frac{9*8*7*6!}{6!*3*2*1} *0.009474296896*0.157464$

$84*0.009474296896*0.157464=0.12532$

Similarly we will find Probabilities when r=7, 8 and 9.

When r=7

$_{7}^{9}\textrm{c}\cdot 0.46^{7}\cdot (1-0.46)^{9-7}$

$\frac{9!}{7!2!} *0.46^{7} *0.54^{2}$

$\frac{9*8*7!}{7!*2*1} *0.00435817657216*0.2916$

$36*0.00435817657216*0.2916=0.04575039$

When r=8

$_{8}^{9}\textrm{c}\cdot 0.46^{8}\cdot (1-0.46)^{9-8}$

$\frac{9!}{8!1!} *0.46^{8} *0.54$

$\frac{9*8!}{8!*1!} *0.00200476*0.54$

$9 *0.00200476*0.54=0.0097431336$

When r=9,

$_{9}^{9}\textrm{c}\cdot 0.46^{9}\cdot (1-0.46)^{9-9}$

$\frac{9!}{9!0!} *0.46^{9} *1$

$1 *0.00092219*1=0.00092219$

Now let us add all the probabilities to get the final answer.

$0.12532+0.04575+0.00974+0.00092219=0.18173219$

Therefore, probability that at least 6 of 9 adults use their smartphones in meetings or classes is 0.18173219.

6 0

4 years ago

Read 2 more answers

What is the difference? 14x over 17 minus 3x over 17 (14x/17 - 3x/17)

Gre4nikov [31]

14x-3x= 11x and the 17 stays the same, so the answer is 11x/17 or answer B.

7 0

3 years ago

Tyreek Hill is the fastest player in the NFL, running a 40 yar dash in 2.4 seconds. Using the rate, 38 yards for every 4 seconds

kirill115 [55]

Answer:

He can run 112 yards in 12 seconds

Step-by-step explanation:

Here, we want to know the number of yards he can run in 12 seconds

From the question, we are told that his running rate is 38 yards in 4 seconds

So the number of yards he can run in 12 seconds will be;

38 * 12/4

= 38 * 3 = 114 yards

8 0

3 years ago

The adult height of a man is about 1.19 times his height at age 12. Miguel is 1.5 m tall at 12 years of age. What would his pred

jarptica [38.1K]

Answer: 3.285?

I just multiplied 1.5 and 1.19, then added the product and his height at the age of 12 so, therefore i got 3.285 as a answer

6 0

3 years ago

Tony uses 1/8 cup mozzarella cheese for every 16 square inches of pizza. How much mozzarella will he use for a circular pizza wi

Vlada [557]

Answer: ~2.45 cups, or A

Step-by-step explanation:

First, find the area of the circle. Area formula is $A = \pi r^{2}$ , but instead of the radius, we have the diameter. Halve the diameter to get the radius of 10 inches.

A = pi * 100

So the pizza has an area of around ~314.15 square inches.

Divide this number by 16 square inches to find how many 1/8 cups Tony uses.

314.15/16 = ~19.63 1/8 cups.

You can then divide 19.63 by 8 to receive how many cups he uses.

7 0

3 years ago

If z = 3cis30°, z3 in rectangular form is _____ +_____ i.

If z = 3cis30°, z3 in rectangular form is _ +_ i.