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stich3 [128]
2 years ago
8

Please help me! Determine the area

Mathematics
1 answer:
Ghella [55]2 years ago
7 0

9514 1404 393

Answer:

  31.41 ft²

Step-by-step explanation:

Heron's formula is useful when you have the three side lengths.

  A = √(s(s -a)(s -b)(s -c)) . . . . sides are a, b, c and s = (a+b+c)/2

Using the given side lengths, we have ...

  s = (8 +8.4 +13.5)/2 = 29.9/2 = 14.95

  A = √(14.95(14.95 -8)(14.95 -8.4)(14.95 -13.5)) = √(14.95×6.95×6.55×1.45)

  A = √986.81399375 ≈ 31.41 . . . . square feet

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The director of a state agency believes that the average starting salary for clerical employees in the state is less than ​$35 c
MrRissso [65]

Answer:

There is not enough evidence to conclude that  average starting salary for clerical employees in the state is less than ​$35,000 per year.

Step-by-step explanation:

We are given the following in the question:

Population mean, μ = 35,000 dollars per year

Sample mean, \bar{x} = 34,700 dollars per year

Sample size, n = 100

Alpha, α = 0.10

Population standard deviation, σ = 3,500 dollars per year

First, we design the null and the alternate hypothesis

H_{0}: \mu = 35,000\text{ dollars per year}\\H_A: \mu < 35,000\text{ dollars per year}

We use one-tailed z test to perform this hypothesis.

Formula:

z_{stat} = \displaystyle\frac{\bar{x} - \mu}{\frac{\sigma}{\sqrt{n}} }

Putting all the values, we have

z_{stat} = \displaystyle\frac{34700 - 35000}{\frac{3500}{\sqrt{100}} } = -0.8571

Now, z_{critical} \text{ at 0.10 level of significance } = -1.28

Since,  

z_{stat} > z_{critical}

We fail to reject the null hypothesis and accept the null hypothesis.

Thus, there is not enough evidence to conclude that  average starting salary for clerical employees in the state is less than ​$35,000 per year.

3 0
3 years ago
On a coordinate plane, a dashed straight line has a negative slope and goes through (0, 2) and (4, 0). Everything below and to t
yanalaym [24]

Answer:

Option C.

Step-by-step explanation:

A dashed straight line has a negative slope and goes through (0, 2) and (4, 0).

The given inequality is

y

We need find the point which is a solution to the given linear inequality.

Check the given inequality for point (2, 3).

3

3    

This statement is false. Option 1 is incorrect.

Check the given inequality for point (2, 1).

1

1

This statement is false. Option 2 is incorrect.

Check the given inequality for point (3, -2).

-2

-2

This statement is false. Option 3 is correct.

Check the given inequality for point (-1,3).

3

3

This statement is false. Option 4 is incorrect.

Therefore, the correct option is C.

4 0
3 years ago
How do i solve this slope of a line from a graph?​
iren2701 [21]

Answer:

Find two good points and do rise over run. or you can do the x1 y1 thing

Step-by-step explanation:

3 0
3 years ago
How do you solve (2x-7)(5x+3)=0
sammy [17]

Step-by-step explanation:

First I do it as separate equations 2x-7=0 and 5x+3=0. In this equation you get two answers so you first answer 2x-7=0

2x-7=0

    +7   +7

2x=7

/2   /2

x=7/2

Then do 5x+3=0

                     -3  -3

                5x=-3

                    /5 /5

                x=  -3/5

Then you can check by putting them back in.

7 0
3 years ago
A container holds a combination of nickels and quarters. There are 156 coins in all, and their total value is $21.60. The system
Tatiana [17]
X+y=156
<span>0.05x+0.25y=21.6

-1/4*/ x+y=156
1/20x+1/4y=216/10

-1/4x-1/4y=156*-1/4=-39

</span>1/20x+1/4y=216/10
<span>+--------------------------
-4/20x=-17,4

x=87

</span>x+y=156
<span>
87+y=156    y=69

this question answer is </span><span>87 nickels and 69 quarters</span><span>

</span>
3 0
3 years ago
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