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Nata [24]
3 years ago
13

find the dimensions of a rectangle whose width is 5 miles less than its length and whose area is 66 square miles

Mathematics
1 answer:
Lyrx [107]3 years ago
4 0
A = l * w
66 = l * (l - 5)
66 = l^{2}-5l
0 = l^{2}-5l - 66

l = 11 or 6 check which works.

A = 11 * 6, which fits.

length = 11 miles
width = 5 miles
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Marsha Green makes $9.19 per hour. Find her social security tax at the rate of 7.65% for a 40-hour work week.
ira [324]

Answer:

$28.12

Step-by-step explanation:

$9.19 x 40 = $367.60 x 7.65% = $28.12

5 0
3 years ago
Can someone pls help i know this seems easy but its not for a none smart person like me
BabaBlast [244]

Answer:

1/2

Step-by-step explanation:

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3 0
3 years ago
Suppose that 12% of test scores for the unit 1 test were above 85 and 8% were below 70. Assuming a normal
Doss [256]

Answer:

Mean = 78.2

Standard deviation = 5.8

Step-by-step explanation:

Mathematically z-score;

= (x-mean)/SD

From the question;

12% of test scores were above 85

Thus;

P( x > 85) = 12%

P(x > 85) = 0.12

Now let’s get the z-score that has a probability of 0.12

This can be obtained from the standard normal distribution table and it is = 1.175

Thus;

1.175 = (85 - mean)/SD

let’s call the mean a and the SD b

1.175 = (85-a)/b

1.175b = 85 - a

a = 85 - 1.175b ••••••••(i)

Secondly 8% of scores were below 70

Let’s find the z-score corresponding to this proportion;

We use the standard normal distribution table as usual;

P( x < 70) = 0.08

z-score = -1.405

Thus;

-1.405 =( 70-a)/b

-1.405b = 70-a

a = 70 + 1.405b ••••••(ii)

Equate the two a

70 + 1.405b = 85 - 1.175b

85 -70 = 1.405b + 1.175b

15 = 2.58b

b = 15/2.58

b = 5.81

a = 70 + 1.405b

a = 70 + 1.405(5.81)

a = 78.16

So mean = 78.2 and Standard deviation is 5.8

4 0
3 years ago
Please help me with this math question
Volgvan
Ur answer is : h(d) = 2d + 3

because if u sub in the points in ur table, this equation works....with the number of months being d and the length of the hair being h(d)
8 0
3 years ago
I will give extra points please help
forsale [732]

Answer:

13

Step-by-step explanation:

b= 3

3x3= 9

9+4= 13

3x3+4=13

Hope this helps

7 0
3 years ago
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