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3 years ago

7

What is the principal square root of 16

2 answers:

labwork [276]3 years ago

8 0

Your answer would be 4.

This is because the 'principal square root' means the positive square root of a certain number, and so √16 = 4 × 4, making 4 the answer. This has a certain term for it as √16 could equal -4 also (-4 × -4 = 16).

I hope this helps!

Vedmedyk [2.9K]3 years ago

3 0

The principal square root 4 and its negative -4

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Find the vertex of the function h(x) = x2 – 4x – 21

lakkis [162]

Answer: (2, -25)

Step-by-step explanation:

The x coordinate of the vertex is $x=-\frac{-4}{2(1)}=2$ .

When x=2, $h(2)=2^2 - 4(2)-21=-25$ .

So, the vertex is (2, -25).

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1 year ago

Solve for w. 7(-2w + 3) = 1 - 4w <br>what is the value of w?

blondinia [14]

Answer:

w=2

Step-by-step explanation:

-14w + 21 = 1 - 4w

-10w + 21 = 1

-10w = -20

w = -20/-10

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2 years ago

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How do you solve this equation?

Natasha2012 [34]

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$5 \sqrt{2}$

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Step-by-step explanation:

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2 years ago

In a study, 36% of adults questioned reported that their health was excellent. A researcher wishes to study the health of peop

steposvetlana [31]

Answer:

0.3907

Step-by-step explanation:

We are given that 36% of adults questioned reported that their health was excellent.

Probability of good health = 0.36

Among 11 adults randomly selected from this area, only 3 reported that their health was excellent.

Now we are supposed to find the probability that when 11 adults are randomly selected, 3 or fewer are in excellent health.

i.e. $P(x\leq 3)=P(x=1)+{P(x=2)+P(x=3)$

Formula : $P(x=r)=^nC_r p^r q ^ {n-r}$

p is the probability of success i.e. p = 0.36

q = probability of failure = 1- 0.36 = 0.64

n = 11

So, $P(x\leq 3)=P(x=1)+{P(x=2)+P(x=3)$

$P(x\leq 3)=^{11}C_1 (0.36)^1 (0.64)^{11-1}+^{11}C_2 (0.36)^2 (0.64)^{11-2}+^{11}C_3 (0.36)^3 (0.64)^{11-3}$

$P(x\leq 3)=\frac{11!}{1!(11-1)!} (0.36)^1 (0.64)^{11-1}+\frac{11!}{2!(11-2)!} (0.36)^2 (0.64)^{11-2}+\frac{11!}{3!(11-3)!} (0.36)^3 (0.64)^{11-3}$

$P(x\leq 3)=0.390748$

Hence the probability that when 11 adults are randomly selected, 3 or fewer are in excellent health is 0.3907

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3 years ago

What is the measure of

Helen [10]

Answer:

A = 37 degrees ; B = 82 degrees

Step-by-step explanation:

the angle A plus 143 must measure 180 degrees

angle A = 180 - 143 = 37 degrees

the sum of the inner angles of a triangle is 180 degrees

A + B + C = 180

37 + B + 61 = 180

B = 180 - 98 = 82 degrees

7 0

3 years ago

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