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ki77a [65]
2 years ago
14

atex-formula">
Mathematics
2 answers:
seraphim [82]2 years ago
6 0

\huge\text{$x=\boxed{6}$}

We can solve for the variable x by isolating it on one side of the equals sign.

Start by adding 4 to both sides to cancel out the -4 on the left side of the equation.

\begin{aligned}3x-4+4&=14+4\\3x&=18\end{aligned}

Now divide both sides of the equation by 3 since 3x is the same as 3*x and we want to isolate x, keeping in mind that anything multiplied by 1 is itself.

\begin{aligned}3x&=18\\3*x&=18\\3*x\div3&=18\div3\\x*3\div3&=18\div3\\x*1&=6\\x&=\boxed{6}\end{aligned}

Digiron [165]2 years ago
3 0

\text {Hello! Let's Solve this Problem!}

\text {\underline {The First Step is to Add 4}}

\text {3x-4+4=14+4}

\text {3x=18}

\text {\underline {The Final Step is to Divide 3}}

\text {3x/3=18/3}

\text {Your Answer Would Be:}

\Huge\boxed {x=6}

\text {Best of Luck!}

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With a little care, you can find the median and the quartiles from the histogram. what are these numbers? you can also find the
coldgirl [10]

Complete Question

The histogram from this question is shown on the first uploaded image

Answer:

The first quartile is  1st Q = 19^{th} girl (subject ) = 1 \serving\ of\ fruit\ per\ day

The median is   Median  = 38 ^{th} \ girl (subject) =  2 \serving\ of\ fruit\ per\ day

The third quartile  is 3rd Q =  56^{th} \  girl (subject) = 4 \serving\ of\ fruit\ per\ day  

The  mean is  \= x = 2.62

Step-by-step explanation:

From the question we are told that

   The total  number of girls is n =  74

Generally the median is mathematically represented as

       Median  =  \frac{\frac{n}{2}  +[ \frac{n}{2} + 1]  }{2}

So

          Median  =  \frac{\frac{74}{2}  +[ \frac{74}{2} + 1]  }{2}

=>         Median  =  \frac{37  +38 }{2}

=>         Median  =37.5 \  girl    

From the histogram 37.5 \approx 38^{th} \ girl fall under 2 fruits per day

Generally the first quartile is mathematically represented as

      1st \ Q =  \frac{\frac{n}{4} + [\frac{n}{4} + 1]  }{2}

=>    1st \ Q =  \frac{\frac{74}{4} + [\frac{74}{4} + 1]  }{2}

=>     1st \ Q = 19 \  girl

From the histogram 19^{th}girl fall under 1 fruit per day

 Generally the third quartile is mathematically represented as

     3rd\  Q =  \frac{\frac{n}{2}  + n }{2}

=>    3rd\  Q =  \frac{\frac{74}{2}  + 74 }{2}

=>    3rd\  Q =  55.5

From the histogram 55.5 \approx 56^{th} \ girl fall under 4 fruits per day

Generally from the histogram table the frequency  [number of subjects (girls) ]  and the servings of fruit per day can be represented as

                                                                                                               Total

x(servings per day )        0     1     2     3     4     5    6     7      8    

f (number of subjects )   15    11   15     11    8     5    3     3      3    \sum f  =  74

xf                                       0    11    30   33   32  25   18   21     24    \sum xf =  194

Generally the mean is mathematically represented as

      \= x = \frac{1}{ \sum f}  * [\sum xf]

=>     \= x = \frac{1}{ 74}  *194

=>      \= x = 2.62

4 0
3 years ago
What is the trigonometric derivative of Y=2sinx-tanx
Alchen [17]
\bf y=2sin(x)-tan(x)\implies \cfrac{dy}{dx}=2cos(x)-sec^2(x)
7 0
3 years ago
Please help on this one question
Nonamiya [84]

Answer:

9ab+3a

Step-by-step explanation:

2a*3b=6ab

2a*1=2a

a*3b=3ab

a*1=a

adding everything together=6ab+2a+3ab+a=9ab+3a

3 0
3 years ago
Read 2 more answers
In the figure below, segment AC is congruent to segment AB:
stepladder [879]

Answer: A. "Segment AD bisects angle CAB." is the right answer.

Step-by-step explanation:

Given : In ΔABC ,AC≅AB.

⇒∠ACB=∠CBA....(1) (∵ angles opposite to equal sides of a triangle are equal )

Now in ΔACD and ΔABD

AD=AD (common)....(2)

Here we need one more statement to prove the triangles congruent that is only statement (A) fits in it.

If AD bisects ∠CAB then ∠CAD=∠BAD..(3)

Now again Now in ΔACD and ΔABD

∠ACB=∠CBA [from (1)]

AD=AD [common]

∠CAD=∠BAD [from (3)]

So by ASA congruency criteria ΔADC≅ΔABD.

7 0
3 years ago
The number of music CDs that Carl has in his collection is four less than triple the number of music CDs that Toni has in her co
grigory [225]
Ok, simple.
Carl has 4 less than triple the amount Toni has.
Toni has x amount of CDs.
Carl has 3x - 4 amount of CDs.

Hope this helps!
6 0
3 years ago
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