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3 years ago

9

What are the solutions to this equation?

1 answer:

AleksandrR [38]3 years ago

5 0

Answer: -1 , -11

Explanation:

$(p + 6)^2 = 25$

$p + 6 = \pm\sqrt{25}$

$p + 6 = \pm 5$

$p = \pm 5 - 6$

$p = \-1 \ or \p = -11$

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WILL MARK BRAINLIST

Deffense [45]

Answer:

slope= 0

y intercept= -27

Step-by-step explanation:

4y= -108

y= -27

slope= 0

y intercept= -27

since this line will always have -27 as its y value.

5 0

2 years ago

The one-time fling! Have you ever purchased an article of clothing (dress, sports jacket, etc.), worn the item once to a party,

Mama L [17]

Answer:

$(a)\ P(x = 0) = 0.2725$

$(b)\ P(x \ge 1) =0.7275$

$(c)\ P(x \le 2) = 0.8948$

Step-by-step explanation:

Given

$n = 8$ --- 8 friends

$p = 15\%$ --- proportion that one-time fling

This question is an illustration of binomial probability, and it is represented as:

$P(X = x) = ^nC_x* p^x * (1 - p)^{n-x}$

Solving (a): P(x = 0) --- None has done one time fling

$P(x = 0) = ^8C_0* (15\%)^0 * (1 - 15\%)^{8-0}$

$P(x = 0) = 1* 1 * (1 - 0.15)^{8}$

$P(x = 0) = 0.85^8$

$P(x = 0) = 0.2725$

Solving (b): $P(x \ge 1)$

To do this, we make use of compliment rule:

$P(x = 0) + P(x \ge 1) =1$

Rewrite as:

$P(x \ge 1) =1 - P(x = 0)$

$P(x \ge 1) =1 - 0.2725$

$P(x \ge 1) =0.7275$

Solving (c): $P(x\le 2)$ --- Not more than 2 has one time fling

This is calculated as:

$P(x\le 2) = P(x = 0) + P(x =1) + P(x = 2)$

We have:

$P(x = 0) = 0.2725$

$P(x = 1) = ^8C_1* (15\%)^1 * (1 - 15\%)^{8-1}$

$P(x = 1) = 8* (0.15) * (1 - 0.15)^7$

$P(x = 1) = 0.3847$

$P(x = 2) = ^8C_2* (15\%)^2 * (1 - 15\%)^{8-2}$

$P(x = 2) = 28* (0.15)^2 * (1-0.15)^6$

$P(x = 2) = 0.2376$

So:

$P(x\le 2) = P(x = 0) + P(x =1) + P(x = 2)$

$P(x \le 2) = 0.2725 + 0.3847 + 0.2376$

$P(x \le 2) = 0.8948$

4 0

3 years ago

How to do the monomials

Cerrena [4.2K]

<u>Given</u>:

The given monomial expression is $\frac{16 y^{8}}{4 y^{2}}$

We need to simplify the given monomial expression.

<u>Simplification:</u>

Let us simplify the given expression.

Dividing the numbers 16 and 4, we get;

$\frac{4 y^{8}}{y^{2}}$

Let us apply the exponent rule $\frac{x^{a}}{x^{b}}=x^{a-b}$ in the above expression.

Thus, we get;

$4 y^{8-2}$

Subtracting the numbers in the numerator of the above expression, we get;

$4 y^{6}$

Thus, the simplified expression is $4 y^{6}$

8 0

2 years ago

Mrs. gomes found that 40% of students at her high school take chemistry. she randomly surveys 12 students. what is the probabili

andrew-mc [135]

Answer:

0.213

Step-by-step explanation:

→ Convert into binomial information

x ~ B ( 12 , 0.4 )

→ Write down probability required

p ( x = 4 )

→ Evaluate

0.2128

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1 year ago

What’s 8 divided by 9

Licemer1 [7]

Answer:

0.88888888888

Step-by-step explanation:

3 0

2 years ago

Read 2 more answers