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Dahasolnce [82]

4 years ago

8

The state of Tennessee looks like a parallelogram. The northern border of Tennessee measures 442 miles, and the distance between

the northern and southern borders is 115 miles. Find the area of the state of Tennessee.

1 answer:

nalin [4]4 years ago

3 0

Area of a parallelogram = base * height
<span>Base = 442 miles , height = 115 miles answer = 442 * 115 mile^2 =50830 mile^2</span>

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A woman received 5 per cent interest on a loan of $300 for 1 year. How much interest did she receive? $5 $15 $30 $150 none of th

choli [55]

Answer:

15$

Step-by-step explanation:

this is because if you use our formula of I= prt

we can substitute our varibles for our equation

I= 300 x 0.05 x 1

we turn 5 in 0.05 to represent out rate, due to this our rate would have to be Simplified into a percent then a decimal

after this if we now proceed through our equation we will get

I = 300 x 0.05 x 1

I = 15

6 0

3 years ago

Assume that when adults with smartphones are randomly selected, 46% use them in meetings or classes. If 9 adult smartphone use

valina [46]

Answer:

0.18173219.

Step-by-step explanation:

We have been asked to find what will be the probability that at least 6 of 9 adults use their smartphones in meetings or classes.

We will find our answer using Bernoulli's trails.

$_{r}^{n}\textrm{c}\cdot p^{r}\cdot (1-p)^{n-r}$

First of all we will find the probabilities when r is 6, 7,8 and 9 then we will add them all.

When r=6,

$_{6}^{9}\textrm{c}\cdot 0.46^{6}\cdot (1-0.46)^{9-6}$

$\frac{9!}{6!3!} *0.46^{6} *0.54^{3}$

$\frac{9*8*7*6!}{6!*3*2*1} *0.009474296896*0.157464$

$84*0.009474296896*0.157464=0.12532$

Similarly we will find Probabilities when r=7, 8 and 9.

When r=7

$_{7}^{9}\textrm{c}\cdot 0.46^{7}\cdot (1-0.46)^{9-7}$

$\frac{9!}{7!2!} *0.46^{7} *0.54^{2}$

$\frac{9*8*7!}{7!*2*1} *0.00435817657216*0.2916$

$36*0.00435817657216*0.2916=0.04575039$

When r=8

$_{8}^{9}\textrm{c}\cdot 0.46^{8}\cdot (1-0.46)^{9-8}$

$\frac{9!}{8!1!} *0.46^{8} *0.54$

$\frac{9*8!}{8!*1!} *0.00200476*0.54$

$9 *0.00200476*0.54=0.0097431336$

When r=9,

$_{9}^{9}\textrm{c}\cdot 0.46^{9}\cdot (1-0.46)^{9-9}$

$\frac{9!}{9!0!} *0.46^{9} *1$

$1 *0.00092219*1=0.00092219$

Now let us add all the probabilities to get the final answer.

$0.12532+0.04575+0.00974+0.00092219=0.18173219$

Therefore, probability that at least 6 of 9 adults use their smartphones in meetings or classes is 0.18173219.

6 0

4 years ago

Read 2 more answers

a map distance of 5 inches represents 200 miles of actual distance. suppose the distance between two cities on the map is 7 inch

Eva8 [605]

Set up a proportion:

5/200 = 7/x

Cross multiply:

200 * 7 = 5 * x

1400 = 5x

Divide 5 to both sides:

x = 280

3 0

3 years ago

Multiply (2x + 8)(4x + 7)

Anuta_ua [19.1K]

Hey! (2x + 8)(4x + 7) = 2x(4x + 7) + 8(4x + 7) = 8x^2 + 14x + 32x + 56 =
8x^2 + 46x + 56 <==
Hope this helps! :)

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3 years ago

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What is the cost of 5 pounds of bananas if 2 pounds cost $1.16

serious [3.7K]

The answer is $2.90

Hope that helps

7 0

3 years ago

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