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AURORKA [14]
2 years ago
15

The Westminster Widget Company has an old machine that can produce 50 widgets in five hours. Now they have purchased a

Mathematics
1 answer:
Norma-Jean [14]2 years ago
8 0

<u>Answer: </u>

If they worked together it would take 4 hours for the machines to produce 100 widgets

<u>Step-by-step explanation:</u>

w = widgets     hr = hour     ph = per hour

Old machine - 50w = 5hr = 10ph

New machine - 30w = 2hr = 15ph

Old machine - 20w = 2hr

New machine - 30w = 2hr

<h3>Together  - 50w = 2hr x 2 </h3><h3>              Final:  100w = 4hr</h3>

     I hope this helped!

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Given: ΔABC. If ∠B = 35°, a = 4.5 cm, and b = 6.0 cm, what is the measurement of ∠A to the nearest tenth of a degree?
soldier1979 [14.2K]
We know that

the law of sines established 
a/sin A=b/sin B--------sin A=[a*sin B]/b
a=4.5 cm
b=6 cm
B=35°
so
sin A=[4.5*sin 35°]/6-----> sin A=0.43018
A=arc sin(0.43018)-------> A=25.5°

the answer is the option
<span>C) 25.5° </span>


6 0
3 years ago
In the diagram, Segment AB is divided into equal parts. The coordinates of point A are (-3, 9), and the coordinates of point B a
lesya [120]

Point C is (-1.5, 8.5)

Point E is (1.5, 7.5)

Point H is (6, 6)

Each section is 1.5 x units higher and 0.5 y units lower than Point A so for each section you have add 1.5 to x and subtract 0.5 from y.

i.e.

Point A is (-3, 9). Point C is one section away, so to get point C you simply,

( (-3 + 1.5), (9 - 0.5) ) = (-1.5, 8.5)

6 0
3 years ago
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If a sequence is defined recursively by f(0)=2 and f(n+1)=-2f (n)+3 for n&gt; or equal to 0,what is f(2)?
ahrayia [7]
If you would like to know what is f(2), you can calculate this using the following steps:

f(0) = 2
f(n+1) = - 2 * f(n) + 3
f(1) = - 2 * f(0) + 3 = - 2 * 2 + 3 = - 4 + 3 = - 1
f(2) = - 2 * f(1) + 3 = - 2 * (-1) + 3 = 2 + 3 = 5

The correct result would be f(2) = <span>5.</span>
3 0
3 years ago
Blood pressure: High blood pressure has been identified as a risk factor for heart attacks and strokes. The proportion of U.S. a
telo118 [61]

Answer:

Yes it appropriate to use the normal approximation to find the probability that more than 43% of the people in the sample have high blood pressure

Step-by-step explanation:

From the question we are told that

The population proportion is  p=0.4

  The sample size is  n =  39

  The sample proportion is  \^ p = 0.43

Generally for normal approximation to be used

       np > 10

so np  =  39 * 0.4 =  15.6 > 10

   and n(1- p) >  10

so   n(1-p ) = 39(1-0.4) = 23.4 >10

Given that the both condition is meet it mean that  it appropriate to use the normal approximation to find the probability that more than 43% of the people in the sample have high blood pressure

6 0
3 years ago
Write the sum using summation notation, assuming the suggested pattern continues.
Anit [1.1K]

Answer:

\sum_{n=5}^{\infty}n^2

Step-by-step explanation:

The pattern given is:

25+36+49+64+...+n^2+...

The pattern can be written as

(5)^2+(6)^2+(7)^2+(8)^2+.....+n^2+....

The series is started with 5 and it continues up to infinity.

The summation notation for the given series is:

\sum_{n=5}^{\infty} n^2

n= 1 and goes up to infinity and the series is made up of taking square of n,

7 0
3 years ago
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