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3 years ago

What is the distributive property to writ 8(x + 1)

Mathematics

2 answers:

lesya692 [45]3 years ago

6 0

Answer:

It would be 8*x=8x+8 because 8*1=8

Step-by-step explanation:

you multiply 8 by the numbers inside the parentheses.

posledela3 years ago

4 0

Answer:

8x + 8

Step-by-step explanation:

you have to distribute the 8 to everything inside the parentheses

8 times x

8 times 1

8x + 8

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[PLEASE ANSWER] Precalculus Question (has 2 parts)

artcher [175]

Part I

$\bf \begin{array}{l|lllllll}
x&2&\boxed{4}&6&8&\boxed{10}&12&14\\\\
y&1&\boxed{6}&11&16&\boxed{21}&26&31
\end{array}\implies 
\begin{array}{llll}
(4,6)\\\\
(10,21)
\end{array}\\\\
-------------------------------\\\\$

$\bf \begin{array}{lllll}
&x_1&y_1&x_2&y_2\\
% (a,b)
&({{ 4}}\quad ,&{{ 6}})\quad 
% (c,d)
&({{ 10}}\quad ,&{{ 21}})
\end{array}
\\\\\\
% slope = m
slope = {{ m}}= \cfrac{rise}{run} \implies 
\cfrac{{{ y_2}}-{{ y_1}}}{{{ x_2}}-{{ x_1}}}\implies \cfrac{21-6}{10-4}$

part II

$\bf y-{{ y_1}}={{ m}}(x-{{ x_1}})\qquad 
\begin{array}{llll}
\textit{plug in the values for }
\begin{cases}
y_1=6\\
x_1=4\\
m=\boxed{?}
\end{cases}\\
\end{array}\\
\left. \qquad \right. \uparrow\\
\textit{point-slope form}$

now, the form above is the point-slope form, and that'd be the equation, you can leave it like so, or you can solve for "y", and put it in slope-intercept, same equation though.

3 0

3 years ago

A textile fiber manufacturer is investigating a new drapery yarn, which the company claims has a mean thread elongation of 12 ki

shepuryov [24]

Answer

given,

mean = 12 Kg

standard deviation = 0.5 Kg

assume the observed statistic is = 11.1

now, $\bar{X}=11.1 , \mu = 12 , \sigma = 0.5$

assuming the number of sample = 4

n = 4

Hypothesis test:

H₀ : μ≥ 12

Ha : μ < 12

now,

significant level α = 0.05

$z* = \dfrac{\bar{X}-\mu}{\dfrac{\sigma}{\sqrt{n}}}$

$z* = \dfrac{11.1-12}{\dfrac{0.5}{\sqrt{4}}}$

z* = -3.60

Test statistics, Z* = -3.60

P-value

P(Z<-3.60) = 0.002 (from z- table)

P- value = 0.002

now,

reject the value of H₀ when P-value < α

0.002 < 0.05

since, it is less P-value < α , we have to reject the null hypothesis

5 0

4 years ago

n Ms. Ayala's class, 45% of the students regularly play video games. If 18 students regularly play video games, how many student

BigorU [14]

Answer:

40 students

Explanation:

So its 45% out of 100%. multiply 18 by 100% and divide it by 45 and you get 40

6 0

3 years ago

Find the equation of a line that is parallel to the line -3x+2y=10 and goes through the point (0,7).

Delvig [45]

Answer:

3x -2y = -14

Step-by-step explanation:

The parallel line will have a new constant that can be found by substituting the given point for x and y.

-3x +2y = -3(0) +2(7) = 14

An equation for the parallel line is ...

-3x +2y = 14

In standard form, the leading coefficient is positive, so the standard form equation is ...

3x -2y = -14

6 0

3 years ago

When a fish is selected at random from a tank, the probability that it has a green tail is 0.36, the probability that it has red

Katarina [22]

Answer: 0.26

Step-by-step explanation:

As per given , we have

P(green tail) = 0.36

P(red fins) = 0.59

P(both a green tail and red fins ) = 0.21

Now, P(Neither red fin nor green tail )= 1 - P(either red fin or green tail )

<em>[P(neither A nor B)= 1- P(either A or B)]</em>

= 1-(P(green tail) +P(red fins)+P(both a green tail and red fins ))

= 1- (0.36+0.59-0.21)

= 1-(0.74)

= 0.26

Hence, the probability that the selected fish will not have a red fin or a green tail = 0.26

6 0

3 years ago