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Archy [21]
2 years ago
9

Two numbers 60 and n have LCM of 420. If n is a multiple of 6 less than 90,find the possible value of n

Mathematics
1 answer:
Ber [7]2 years ago
3 0
Lcm of 60 and n = 420
Stated: n <90 and a multiple of 6

420/60 = 7 thus n must be a multiple of 7
Therefore n =42 or 84
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I NEED THIS ANSWERED ASAP PLEASE HELP!!! select the correct answer for points
krek1111 [17]

Answer:

C. 120°

Step-by-step explanation:

length of arc = 4π cm

r = 6 cm

central angle = s/r

=> central angle = 4π/6

=> central angle = 2π/3 radians

In degrees,

central angle = (2π/3)(180/π) = 120°

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5 0
2 years ago
On a coordinate plane, a line goes through (negative 3, negative 3) and (negative 1, 5).
slega [8]

Answer:

y=20

x=4

Step-by-step explanation:

Since you can plug the first 2 coordinates into the slope equation (\frac{y_{2}-y_{1}}{x_{2} -x_{1} }) you will get 4 for the slope so for the equation for the parallel line you would get y=4x+4 and since the x=4 you could plug that in and you would get y=20 and x=4

5 0
3 years ago
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2.5/6 = h/9 h=? What does this mean
omeli [17]

Answer:

h = 3.75

Step-by-step explanation:

Step 1: Write equation

2.5/6 = h/9

Step 2: Solve for <em>h</em>

  1. Cross multiply: 22.5 = 6h
  2. Divide both sides by 6: 3.75 = h
  3. Rewrite: h = 3.75

Step 3: Check

<em>Plug in h to verify it's a solution.</em>

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0.416667 = 0.416667

5 0
3 years ago
Read 2 more answers
How much is 44000. times 10?
maxonik [38]
When multiplying by multiples of 10, move the decimal place one place over to the right. 44,000 becomes 440,000.
5 0
2 years ago
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A manufacturer of banana chips would like to know whether its bag filling machine works correctly at the 436.0 gram setting. It
Vilka [71]

Answer:

We conclude that the machine is under filling the bags.

Step-by-step explanation:

We are given the following in the question:

Population mean, μ = 436.0 gram

Sample mean, \bar{x} = 429.0 grams

Sample size, n = 40

Alpha, α = 0.05

Population standard deviation, σ = 23.0 grams

First, we design the null and the alternate hypothesis

H_{0}: \mu = 436.0\text{ grams}\\H_A: \mu < 436.0\text{ grams}

We use one-tailed(left) z test to perform this hypothesis.

Formula:

z_{stat} = \displaystyle\frac{\bar{x} - \mu}{\frac{\sigma}{\sqrt{n}} }

Putting all the values, we have

z_{stat} = \displaystyle\frac{429 - 436}{\frac{23}{\sqrt{40}} } = -1.92

Now, z_{critical} \text{ at 0.05 level of significance } = -1.64

Since,  

z_{stat} < z_{critical}

We reject the null hypothesis and accept the alternate hypothesis. Thus, we conclude that the machine is under filling the bags.

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3 years ago
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