Rewrite the following polynomial in standard form. 1−2x−5x^4 +8x^3

A study of immunizations among school‑age children in California found that some areas had rates of unvaccinated school‑age chil

Rom4ik [11]

Answer:

Probability that none of the 20 children in such a classroom would be unvaccinated is 0.055.

Step-by-step explanation:

We are given that a classroom of 20 children in one such area where 13.5% of children are unvaccinated.

If there are no siblings in the classroom, we are willing to consider the vaccination status of the 2020 unrelated children to be independent.

The above situation can be represented through binomial distribution;

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

where, n = number of trials (samples) taken = 20 children

r = number of success = none of the 20 children

p = probability of success which in our case is probability that

children are unvaccinated, i.e; p = 13.5%

Let X = Number of children that are unvaccinated

So, X ~ Binom(n = 20, p = 0.135)

Now, Probability that none of the 20 children in such a classroom would be unvaccinated is given by = P(X = 0)

P(X = 0) = $\binom{20}{0} \times 0.135^{0} \times (1-0.135)^{20-0}$

= $1\times 1 \times 0.865^{20}$

= 0.055

Hence, the probability that none of the 20 children in such a classroom would be unvaccinated is 0.055.

8 0

3 years ago

Find the measure of Q, the smallest angle in the triangle whose sides have lengths 4-5, and 6. Round the measure to the nearest

kakasveta [241]

Given:

Given that PQR is a triangle.

The measures of the sides of the triangle are 4,5 and 6.

We need to determine the measure of ∠Q.

Measure of ∠Q:

The measure of ∠Q can be determined using the law of cosines formula.

Thus, we have;

$\cos (Q)=\frac{p^{2}+r^{2}-q^{2}}{2 p r}$

Substituting p = 6, q = 4, r = 5, we get;

$\cos (Q)=\frac{6^{2}+5^{2}-4^{2}}{2 (6)(5)}$

Simplifying, we get;

$\cos (Q)=\frac{36+25-16}{2 (30)}$

$\cos (Q)=\frac{45}{60}$

Dividing, we get;

$\cos (Q)=0.75$

$Q=cos^{-1}(0.75)$

$Q=41^{\circ}$

Thus, the measure of ∠Q is 41°

Hence, Option b is the correct answer.

4 0

3 years ago

What is the area of a parallelogram with the base of 4.5 mm and a height of 6.7 mm

nikdorinn [45]

It’s your mom jk it’s 12mm

7 0

2 years ago

Perform the indicated operation 7+9+(4) 20 20 O12 O-12

Ivahew [28]

The answer would be 20.

How?

7 + 9 = 16

16 + 4 = 20

7 0

3 years ago

Add -8 + (-1)= -7 -9 9 7

sergejj [24]

Answer:

-9

hope it helped and stay safe

6 0

3 years ago