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3 years ago

13

Triangle question find the value

1 answer:

swat323 years ago

5 0

Answer:

55°

Step-by-step explanation:

total angle of a triangle is 180°

we are given 2 angles

85+40+ x = 180

180-125 = 55° (x)

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Suppose an investment account is opened with an initial deposit of $11,000 earning 7.2% interest. Round all answers to the neare

Bingel [31]

Answer:$800 to the nearest dollar

Step-by-step explanation:

To find this

7.2/100×$11000

=$792

To the nearest dollar

$800

8 0

3 years ago

Helppp me plsssssssss<br><br>

Oliga [24]

Answer:

The class 35 - 40 has maximum frequency. So, it is the modal class.

From the given data,

$\sf \:\:\:\:\:\:\:\:\:\:x_{k}=35$
$\sf \:\:\:\:\:\:\:\:\:\:f_{k}=50$
$\sf \:\:\:\:\:\:\:\:\:\:f_{k-1}=34$
$\sf \:\:\:\:\:\:\:\:\:\:f_{k+1}=42$
$\sf \:\:\:\:\:\:\:\:\:\:h=5$

${\bf \:\: {By\:using\:the\: formula}} \\ \\$

$\:\dag\:{\small{\underline{\boxed{\sf {Mode,\:M_{o} =\sf\red{x_k + {\bigg(h \times \: \dfrac{ ( f_k - f_{k-1})}{ (2f_k - f_{k - 1} - f_{k +1})}\bigg)}}}}}}} \\ \\$

$\sf \:\:\:\:\:\:\:\:\:= 35+ {\bigg(5 \times \dfrac{(50 - 34)}{ ( 2 \times 50 - 34 - 42)}\bigg)} \\ \\$

$\sf \:\:\:\:\:\:\:\:\:\:\:\:\:\:\:= 35 +{\bigg(5 \times \dfrac{16}{24}\bigg)} \\ \\$

$\sf \:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:= {\bigg(35+\dfrac{10}{3}\bigg)} \\ \\$

$\sf \:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:(35 + 3.33) =.38.33 \\ \\$

$\:\:\sf {Hence,}\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\ \large{\underline{\mathcal{\gray{ mode\:=\:38.33}}}} \\ \\$

${\large{\frak{\pmb{\underline{Additional\: information }}}}}$

MODE

Most precisely, mode is that value of the variable at which the concentration of the data is maximum.

MODAL CLASS

In a frequency distribution the class having maximum frequency is called the modal class.

${\bf{\underline{Formula\:for\: calculating\:mode:}}} \\$

${\underline{\boxed{\sf {Mode,\:M_{o} =\sf\red{x_k + {\bigg(h \times \: \dfrac{ ( f_k - f_{k-1})}{ (2f_k - f_{k - 1} - f_{k +1})}\bigg)}}}}}} \\ \\$

Where,

$\sf \small\pink{ \bigstar} \: x_{k}= lower\:limit\:of\:the\:modal\:class\:interval.$

$\small \blue{ \bigstar}$ $\sf \: f_{k}=frequency\:of\:the\:modal\:class$

$\sf \small\orange{ \bigstar}\: f_{k-1}=frequency\:of\:the\:class\: preceding\:the\;modal\:class$

$\sf \small\green{ \bigstar}\: f_{k+1}=frequency\:of\:the\:class\: succeeding\:the\;modal\:class$

$\small \purple{ \bigstar}$ $\sf \: h= width \:of\:the\:class\:interval$

7 0

3 years ago

X+4 is the same as 4+x

babunello [35]

Yes it is the same , just written differently

3 0

3 years ago

Read 2 more answers

A bag contains five red marbles, four blue marbles, and four yellow marbles. You randomly pick a marble. What is the probability

Vikentia [17]

n(s)= 5+4+4=13

n(e)= red + blue

=5+4

=9

so, p(e) = n(e)/n(s)

p(e)= 9/13

=0.69

it's your answer

it will help.

7 0

3 years ago

Use long division to find the quotient Q(x) and the remainder R(x) when P(x) is divided by d(x) and express P(x) in the for

lilavasa [31]

Answer:

$P(x)=(x+9)(x^2-7x+52)+3$

Step-by-step explanation:

We are given that

$P(x)=x^3+2x^2-11x+471$

$d(x)=x+9$

We have to find the value of Q(x) and Remainder R(x).

Quotient, $Q(x)=x^2-7x+52$

Remainder, $R(x)=3$

We know that

$Dividend=Divisor\times Quotient+Remainder$

$P(x)=(x+9)(x^2-7x+52)+3$

4 0

3 years ago