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Yakvenalex [24]
2 years ago
9

What is the area, in square meters, of the trapezoid below?

Mathematics
1 answer:
jeka57 [31]2 years ago
4 0

hi guys pls friend me i need freinds pls

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Combine like terms 7a - a+ 16 = ?
dexar [7]
6a+16

Explanation:
If there's just a variable, there's an understood 1 in front of it. So what that really says is:

7a-1a+16

So, you combine the a's. 7a minus 1a is 6a. Same as 7-1,but you have a variable stuck on the end of it.

6a+16

:^)
4 0
3 years ago
Read 2 more answers
A car can travel 374 kilometers on 34 liters of gasoline. How far can it travel on 35 liters?
vovangra [49]

Answer:

385 kilometers

Step-by-step explanation:

Divide 374 by 34 to get the unit price

Then multiply the unit price by 35

4 0
3 years ago
Engineers must consider the breadths of male heads when designing helmets. The company researchers have determined that the popu
tia_tia [17]

Answer:

The minimum head breadth that will fit the clientele is 4.4 inches.

The maximum head breadth that will fit the clientele is 7.8 inches.

Step-by-step explanation:

Let <em>X</em> = head breadths of men that is considered for the helmets.

The random variable <em>X</em> is normally distributed with mean, <em>μ</em> = 6.1 and standard deviation, <em>σ</em> = 1.

To compute the probability of a normal distribution we first need to convert the raw scores to <em>z</em>-scores using the formula:

z=\frac{x-\mu}{\sigma}

It is provided that the helmets will be designed to fit all men except those with head breadths that are in the smallest 4.3% or largest 4.3%.

Compute the minimum head breadth that will fit the clientele as follows:

P (X < x) = 0.043

⇒ P (Z < z) = 0.043

The value of <em>z</em> for this probability is:

<em>z</em> = -1.717

*Use a <em>z</em>-table.

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

z=\frac{x-\mu}{\sigma}\\-1.717=\frac{x-6.1}{1}\\x=6.1-(1.717\times 1)\\x=4.383\\x\approx4.4

Thus, the minimum head breadth that will fit the clientele is 4.4 inches.

Compute the maximum head breadth that will fit the clientele as follows:

P (X > x) = 0.043

⇒ P (Z > z) = 0.043

⇒ P (Z < z) = 1 - 0.043

⇒ P (Z < z) = 0.957

The value of <em>z</em> for this probability is:

<em>z</em> = 1.717

*Use a <em>z</em>-table.

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

z=\frac{x-\mu}{\sigma}\\1.717=\frac{x-6.1}{1}\\x=6.1+(1.717\times 1)\\x=7.817\\x\approx7.8

Thus, the maximum head breadth that will fit the clientele is 7.8 inches.

5 0
3 years ago
Solve the system of equations. <br><br> y=x+5 <br><br> y=-x+7
spin [16.1K]

Answer:

(1,6)

x = 1, y = 6

See attachment for the graph

Step-by-step explanation:

y=x+5  

y=-x+7

Using the elimination process

     y=x+5  

-     y=-x+7

----------------

     0=2x-2

     2=2x

      1=x

      x=1

Substitute x = 1

y = x + 5

y = 1 + 5

y = 6

4 0
3 years ago
Read 2 more answers
Right now the number 33 and 89 to estimate their sum
ozzi

<span> <span><span>Addition, you can have 89 + 33 = 122 </span>
<span>Commutative Property by moving: 33 + 89 = 122
<span>Associative Property by grouping: (3 + 30) + (80 + 9 ) = 122 </span>
<span>Distributive Property by allotting: 10 (8.9) + 33 = 113   </span>


</span></span> Other examples include:
Addition, you can have 33 +  = 113 </span>
<span>Commutative Property by moving: 107 + 6 = 113 </span>
<span>Associative Property by grouping: (3 + 3) + (100 + 7 ) = 113 </span>
<span>Distributive Property by allotting: 2 (3) + 107 = 113   </span>

<span>Multiplication, you can have 6 x 107 = 642 </span>
<span>Commutative Property by moving: 107 x 6 = 642 </span>
<span>Associative Property by grouping: (3 + 3) x (100 + 7 ) = 642 </span>
<span>Distributive Property by allotting: 2(3) x 107 = 642<span>
</span></span>

4 0
3 years ago
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