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andrew11 [14]
3 years ago
15

g The average work week in Los Angeles was 40.1 hours in the first quarter of 2019. It is believed that the pandemic has led to

a reduction in the average work week. To test the validity of this belief, the hypotheses are
Mathematics
1 answer:
Gemiola [76]3 years ago
6 0

Answer:

b. Hо : μ ≥ 40.1; Ha : μ > 40.1

Step-by-step explanation:

Note: The complete options to the question is attached as picture below

The alternative hypothesis is focusing on <em>"the recession has led to a reduction in the average work week".</em>

<em>S</em>o, it will be less than the past average. i.e, 40.1.. so, we will use a less than (<) sign to write the alternative hypothesis.

<u>The hypotheses are as below:</u>

Hо : μ ≥ 40.1 (Null hypothesis)

Ha : μ > 40.1 (Alternative hypothesis)

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A metalworker has a metal alloy that is 15​% copper and another alloy that is 60​% copper. How many kilograms of each alloy shou
coldgirl [10]

18 kg of 15% copper and 72 kg of 60% copper should be combined by the metalworker to create 90 kg of 51% copper alloy.

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

Let x = kg of 15% copper alloy

Let y = kg of 60% copper alloy

Since we need to create 90 kg of alloy we know:

x + y = 90

51% of 90 kg = 45.9 kg of copper

So we're interested in creating 45.9 kg of copper

We need some amount of 15% copper and some amount of 60% copper to create 45.9 kg of copper:

0.15x + 0.60y = 45.9

but

x + y = 90

x= 90 - y

substituting that value in for x

0.15(90 - y) + 0.60y = 45.9

13.5 - 0.15y + 0.60y = 45.9

0.45y = 32.4

y = 72

Substituting this y value to solve for x gives:

x + y = 90

x= 90-72

x=18

Therefore, in order to create 90kg of 51% alloy, we'd need 18 kg of 15% copper and 72 kg of 60% copper.

6 0
2 years ago
Point K is on line segment JL. Given JK = 2x – 2, KL
Scorpion4ik [409]

Answer:

KL = 10

Step-by-step explanation:

JK + KL = JL

2x – 2 + x – 9 =  2x + 8

Combine like terms

3x -11 = 2x+8

Subtract 2x from each side

3x-2x -11 = 2x+8-2x

x-11 = 8

Add 11 to each side

x-11+11 = 8+11

x = 19

KL = x – 9

     = 19-9

     = 10

8 0
3 years ago
Catarina is buying supplies for a party. She plans to spend at least $100 on food and at least $50 on party favors. She can spen
harkovskaia [24]

Answer:

food \geq 100

favors \geq 50

total \leq 250

3 0
3 years ago
Find the sum of the first 8 terms in the sequence 2 8 32 128
Zigmanuir [339]

the sequence is in multiples of 4 (2*4=8, 8*4=32, 32*4=128)

so 128*4=512, 512*4=2048, 2048*4=8192 & 8192*4=32768

2+8+32+128+512+2048+8192+32768=43690 

4 0
2 years ago
A sinusoidal carrier wave has an amplitude of 5 volts, a frequency of 1MHz, and zero phase angle. Select the correct carrier wav
Vedmedyk [2.9K]

Answer:

The correct answer is b.

Step-by-step explanation:

The wave equation is given generally as:

c(x, t) = Acos(kx - wt)

Where A = amplitude

k = wave number

w = angular frequency.

x = horizontal distance moves by the wave.

t = time

The options show to us that the wave depends only on t and not (x, t).

Hence, the wave equation becomes:

c(t) = Acos(wt)

Given that:

A = 5 V

f = 1 * 10⁶ Hz

Angular Frequency, w, is given as:

w = 2πf

w = 2 * π * 1 * 10⁶ Hz

w = 2π(1 * 10⁶)

The wave equation becomes:

c(t) = 5cos(2*π*1*10⁶)

The correct answer is b.

6 0
3 years ago
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