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Debora [2.8K]
3 years ago
6

Find the value of 5(a-4b) when a =-7 and b=1/4

Mathematics
1 answer:
tatiyna3 years ago
3 0

Answer:

- 40

Step-by-step explanation:

5(a - 4b) \\  = 5 \bigg(- 7 - 4 \times \frac{1}{4} \bigg ) \\ = 5 \bigg(- 7 - 1 \bigg ) \\  = 5 \times ( - 8) \\  =  - 40

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The price of a watch was increased by 20% to £144. What was the price before the increase?
hammer [34]

Answer:

120 pounds

Step-by-step explanation:

Since the new cost is 144 pounds and this is 20% more,  this is 120% of the original price. Remember 100+20 = 120. To find the original price set up a proportion with these values:

\frac{144}{x}=\frac{120}{100}

Solve for the original price by cross multiplying numerator with denominator.

x(120) = 144(100)

120x = 14400

x= 120 pounds


6 0
3 years ago
Find the percentage area of moss in a lawn if 3 out of 24 squares contained moss
Luba_88 [7]

3 out of 24 = \frac{3}{24} = \frac{1}{8} = 0.125   = 12.5%

7 0
3 years ago
Read 2 more answers
How to solve function operations
Mama L [17]
" Given f (x) = 3x + 2 and g(x) = 4 – 5x, find (f + g)(x), (f – g)(x), (f × g)(x), and (f / g)(x).1. = [3x + 2] + [4 – 5x] = 3x + 2 + 4 – 5x. = 3x – 5x + 2 + 4. = –2x + 6. (f – g)(x) 2. = f (x) – g(x)= [3x + 2] – [4 – 5x] = 3x + 2 – 4 + 5x. = 3x + 5x + 2 – 4. = 8x– 2. 3. ...= (3x + 2)(4 – 5x) = 12x + 8 – 15x2 – 10x. = –15x2 + 2x + 8. " - Google
3 0
3 years ago
Quality control studies for Speedy Jet Computer Printers show the lifetime of the printer follows a normal distribution with mea
Anika [276]

Answer:

About 3 years Speedy Jet printers be guaranteed.

Step-by-step explanation:

Given : Quality control studies for Speedy Jet Computer Printers show the lifetime of the printer follows a normal distribution with

mean \mu = 4 and standard deviation  \sigma = 0.78

If the company wishes to replace no more than 10% of the printers.

To find : How long should Speedy Jet printers be guaranteed ?

Solution :

Using Z- table,  

Z value corresponding to 10% or 0.10 = -1.28.

Applying z-score formula,

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

The value of x is given by,

x=(z\times \sigma)+\mu

Substitute the values,

x=(-1.28\times 0.78)+4

x=-0.9984+4

x=3.0016

So, approx 3 years.

Therefore, About 3 years Speedy Jet printers be guaranteed.

8 0
3 years ago
A bottling plant produces bottles of 500 ml at the production rate of 10,000 bottles per hour. An inspector randomly picks up 10
galben [10]

Answer:

e.none of these

Step-by-step explanation:

Computations For CC for Fraction defective

Sample No  d  p=d/100

1                    0       0

2                    0      0

3                    2     0.02

4                     1     0.01

5                     0      0

6                     1      0.01

7                     2      0.02

8                     0        0

                 Total   0.06

\overline{p} =\frac{1}{k}\sum p=\frac{0.06}{8} =0.0075

\overline{q} =1- 0.0075= 0.9925

3 sigma control limits for p chart are given by:

\overline{p} \pm 3\sqrt{\overline{p}\overline{q}/n}\Rightarrow 0.0075\pm 3\sqrt{\frac{0.0075*0.9925}{100}}

= 0.0075\pm0.0259\Rightarrow ( 0.0334,0 )

hence option e is correct

6 0
3 years ago
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