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Sergeeva-Olga [200]

3 years ago

9

6th grade math please help!

2 answers:

Vinil7 [7]3 years ago

8 0

Answer:

A

Step-by-step explanation:

lara31 [8.8K]3 years ago

5 0

Answer:

A represents the position of -2.2

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Find the mean, median, and mode of each set of values.

Mademuasel [1]

Put the values in order of least to greatest, and then eliminate numbers from each end until you’re left with one.
79, 82, 87, 91, 93, 97, 97, 98, 99, 101, 102
Median - Middle number, 97
Mode - Number that appears most often, 97
Mean - Add all numbers and then divide the total by the number of values in the data set, 93.3

8 0

4 years ago

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At the same rate how many miles did she bike in the next 15 minutes explain

ivann1987 [24]

distance = speed * time

d = constant rate * 1/4 miles/hour

4 0

3 years ago

Suppose a random variable x is best described by a uniform probability distribution with range 22 to 55. Find the value of a tha

const2013 [10]

Answer:

(a) The value of <em>a</em> is 53.35.

(b) The value of <em>a</em> is 38.17.

(c) The value of <em>a</em> is 26.95.

(d) The value of <em>a</em> is 25.63.

(e) The value of <em>a</em> is 12.06.

Step-by-step explanation:

The probability density function of <em>X</em> is:

$f_{X}(x)=\frac{1}{55-22}=\frac{1}{33}$

Here, 22 < X < 55.

(a)

Compute the value of <em>a</em> as follows:

$P(X\leq a)=\int\limits^{a}_{22} {\frac{1}{33}} \, dx \\\\0.95=\frac{1}{33}\cdot \int\limits^{a}_{22} {1} \, dx \\\\0.95\times 33=[x]^{a}_{22}\\\\31.35=a-22\\\\a=31.35+22\\\\a=53.35$

Thus, the value of <em>a</em> is 53.35.

(b)

Compute the value of <em>a</em> as follows:

$P(X< a)=\int\limits^{a}_{22} {\frac{1}{33}} \, dx \\\\0.95=\frac{1}{33}\cdot \int\limits^{a}_{22} {1} \, dx \\\\0.49\times 33=[x]^{a}_{22}\\\\16.17=a-22\\\\a=16.17+22\\\\a=38.17$

Thus, the value of <em>a</em> is 38.17.

(c)

Compute the value of <em>a</em> as follows:

$P(X\geq a)=\int\limits^{55}_{a} {\frac{1}{33}} \, dx \\\\0.85=\frac{1}{33}\cdot \int\limits^{55}_{a} {1} \, dx \\\\0.85\times 33=[x]^{55}_{a}\\\\28.05=55-a\\\\a=55-28.05\\\\a=26.95$

Thus, the value of <em>a</em> is 26.95.

(d)

Compute the value of <em>a</em> as follows:

$P(X\geq a)=\int\limits^{55}_{a} {\frac{1}{33}} \, dx \\\\0.89=\frac{1}{33}\cdot \int\limits^{55}_{a} {1} \, dx \\\\0.89\times 33=[x]^{55}_{a}\\\\29.37=55-a\\\\a=55-29.37\\\\a=25.63$

Thus, the value of <em>a</em> is 25.63.

(e)

Compute the value of <em>a</em> as follows:

$P(1.83\leq X\leq a)=\int\limits^{a}_{1.83} {\frac{1}{33}} \, dx \\\\0.31=\frac{1}{33}\cdot \int\limits^{a}_{1.83} {1} \, dx \\\\0.31\times 33=[x]^{a}_{1.83}\\\\10.23=a-1.83\\\\a=10.23+1.83\\\\a=12.06$

Thus, the value of <em>a</em> is 12.06.

7 0

3 years ago

The base of a triangle is one third as long as its height. if the area of the triangle is 6 square meters, how long is its base

KIM [24]

The answer is:  " 2 m" .
________________________________________
Explanation:
_________________________________________
The formula for the area, "A" , of a TRIANGLE is:
_________________________________________
A = (1/2) * b * h ; or, write as: " A = (b * h) / 2 " ;
_________________________________________
in which: A = area of triangle;
b = length of base;
h = [perpendicular] height .
_________________________________________
We are given: "b = 1/3 h = h/3" ;
"A = 6 m²: "

We are asked to solve for "b" ;

So: "A = ( b * h) / 2 " ;

→ Re-arrange the equation to isolate "b" on one side of the equation ;

→ "A = ( b * h) / 2 " ; ;

Multiply EACH SIDE of the equation by "2" ;
→ 2 * A = { ( b * h) / 2 } * 2 " ;

to get:

→ 2A = b * h ;

↔ b * h = 2A ;

NOTE: Calculate "2A" ; as follows: " 2A = 2* 6 m² = 12 m² " ;

→ b * h = 12 m² ;

Note: "b = h/3 " ;

So rewrite:

→ "b * h = 12 m² ;

as: (h/3) * h = 12 m² ;

→    $\frac{h}{3}$ * $\frac{h}{1}$ = 12 m² ;

→ $\frac{(h*h)}{(3*1)} = \frac{h^2}{3} =$ = 12 ;

→ Now, we can solve for "h" ; {and then, solve for "b" }..
___________________________________________________
We have: \frac{h^2}{3} = [/tex] = 12
______________________________________________________
  → h² = 12 * 3 ;

→ h² = 36 ;

Now, take the positive square root of EACH SIDE of the equation;
to isolate "h" on one side of the equation; & to solve for "h" ;

  → +√(h²) = +√36 ;

  → h = 6 m ;

Now, we can solve for "b" ;

b = h / 3 = 6 m / 3 = 2 m .

→ b = 2 m .
________________________________________

The answer is: " 2 m" .
________________________________________
Let us check our answer:
________________________________________
A = (b * h) / 2 ;

→ 6 m² = ? (2 m * 6 m) / 2 ?? ;

  → 6 m² = ? (12 m²) / 2 ?? Yes!
________________________________________

3 0

4 years ago

Trisha invited 12 friends to her party. Eight of her friends are girls. What is 8 12 in simplest form?

goblinko [34]

Answer:

2/3

Step-by-step explanation:

4 goes into 8 twice and 4 goes into 12 three times therefore it would be 2/3

7 0

3 years ago

Read 2 more answers