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Molodets [167]
3 years ago
12

Explain what the equation 3x = 6 means without using the word equal.

Mathematics
1 answer:
Alexandra [31]3 years ago
7 0

Step-by-step explanation:

1. 3 multiplied by x is the same value of 6

2. since 3x is on the left side we have to divide the equation by 3 on both sides which doesn't change the value of x, but it helps us get the value for x. so when you divide the equation by 3 the answer for x=6/2 which 2 divided by 6=3

Hope that helps :)

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Suppose that 80% of all registered California voters favor banning the release of information from exit polls in presidential el
natulia [17]

Answer:

a. Mean = 20

Sd = 4

b. Probability of X = 20 = 0.1960

Step-by-step explanation:

we have

n = 25

p = 80% = 0.8

mean = np

= 0.8 * 25

= 20

standard deviation = √np(1-p)

= √25*0.8(1-0.8)

=√4

= 2

probability that exactly 20 favours ban

it follows a binomial distribution

= 25C20 × 0.8²⁰ × 0.2⁵

= 53130 × 0.01153 × 0.00032

= 0.1960

Probability of X = 20 = 0.1960

6 0
2 years ago
Priya has picked 1 1/2 cups of raspberries which is enough for 3/4 of the cake how many cups does she need for the whole cake
Zina [86]

Answer:

So Priya need  2 cups of raspberries for the whole cake.

Step-by-step explanation:

Given data;

1\frac{1}{2}=\frac{3}{2} cups of raspberries which is enough for \frac{3}{4} of the cake.

For making \frac{3}{4} of the cake need \frac{3}{2} cups of raspberries.

For making 1 cake need \frac{\frac{3}{2}}{\frac{3}{4}} cups of raspberries.

For making 1 cake need \frac{3}{2} \times \frac{4}{3}=2 cups of raspberries.

∴ Priya need  2 cups of raspberries for the whole cake.

3 0
2 years ago
Which point of concurrency is NOT always inside a triangle? Check all that apply. A. circumcenter B. incenter C. orthocenter D.
timama [110]

Answer:

Option A. is correct

Step-by-step explanation:

The circumcenter is a point of intersection of all the perpendicular bisectors of a triangle.

The incenter is a point of intersection of all the angle bisectors of a triangle.

The orthocenter is a point of intersection of all the altitudes of a triangle.

The centroid is a point of intersection of all the medians of a triangle.

The incenter, orthocenter, and centroid always lie inside a triangle.

However, a circumcenter does not always lie inside a triangle.

In an acute-angled triangle, the circumcenter may lie inside or outside the triangle.

So,

Option A. is correct

8 0
2 years ago
What number must we multiply by -2/3 to get a product of 3/4?
kap26 [50]

Answer:

5/4

Step-by-step explanation:

hope this helps ;)

5 0
3 years ago
What is the sum of a 12-term arithmetic sequence where the last term is 13 and the common difference is -10?
Y_Kistochka [10]
\bf n^{th}\textit{ term of an arithmetic sequence}\\\\
a_n=a_1+(n-1)d\qquad 
\begin{cases}
n=n^{th}\ term\\
a_1=\textit{first term's value}\\
d=\textit{common difference}\\
----------\\
n=12\\
d=-10\\
a_{12}=13
\end{cases}
\\\\\\
a_{12}=a_1+(12-1)d\implies 13=a_1+(12-1)(-10)
\\\\\\
13=a_1-110\implies \boxed{123=a_1}

\bf \\\\
-------------------------------\\\\
\textit{sum of a finite arithmetic sequence}\\\\
S_n=\cfrac{n}{2}(a_1+a_n)\qquad 
\begin{cases}
n=n^{th}\ term\\
a_1=\textit{first term's value}\\
a_n=\textit{value of the }n^{th}\ term\\
------------\\
n=12\\
a_1=123\\
a_{12}=13
\end{cases}
\\\\\\
S_{12}=\cfrac{12}{2}(a_1+a_{12})\implies S_{12}=\cfrac{12}{2}(123+13)

and surely you know how much that is.
6 0
3 years ago
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