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3 years ago

What does m equal in 6m 3=2m-4/2

Mathematics

1 answer:

AysviL [449]3 years ago

7 0

Hello there.

<span>What does m equal in 6m 3=2m-4/2

</span>−<span>0.851383</span>

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What is the value of x in the equation below?

olchik [2.2K]

X = 4. First you divide by 6 on both sides to get rid of the parentheses, then add 8 to both sides and get x alone on the left.

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3 years ago

Help! <br> The sum of 6 consecutive even numbers is 126<br> what is the answer?

dybincka [34]

6 consecutive even numbers
First x
Second x+2
Third x+4
Fourth x+6
Fifth x+8
Sixth x+10

126=x+x+2+x+4+x+6+x+8+x+10
126=6x+30
Subtract 30 from both sides
96=6x
Divide both sides by 6
x=16

Fourth x+6=16+6=22

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4 years ago

The standard IQ test is designed so that the mean is 100100 and the standard deviation is 1515 for the population of all adults.

Natalija [7]

Answer:

The sample size should be approximately 151.

Step-by-step explanation:

We are given the following in the question:

Population mean, μ = 100

Population standard deviation, σ = 15

We have to evaluate the sample size, n.

Alpha, α = 0.10

Confidence interval:

$\mu \pm z_{critical}\frac{\sigma}{\sqrt{n}}$

Putting the values, we get,

$z_{critical}\text{ at}~\alpha_{0.10} = \pm 1.64$

$100 \pm 1.64(\frac{15}{\sqrt{n}} ) = (98,102)$

$100 \pm 1.64(\displaystyle\frac{15}{\sqrt{n}} ) = (98,102)\\\\1.64(\frac{15}{\sqrt{n}} ) = 2\\\\n = 151.29 \approx 151$

Thus, the sample size should be approximately 151.

6 0

3 years ago

Let x represent the amount of frozen yogurt (in hundreds of gallons) sold by the G&T restaurant on any day during the summer

musickatia [10]

Answer:

a) The probability of selling less than 100 gallons (x≤1) is P=0.16.

b) The mean number of gallons is M=80 gallons.

Step-by-step explanation:

The probability of selling x, in hundred of gallons, on any day during the summer is y(x)=0.32x, in a range for x from [0;2.5].

The probability of selling less than 100 gallons (x≤1) is then:

$P(x\leq1)=\int_0^{100}0.32x\cdot dx\\\\P(x\leq1)=0.16(x_b^2-x_a^2)\\\\P(x\leq1)=0.16(1^2-0^2)=0.16$

The mean number of gallons can be calculated as:

$M=\int_0^{2.5}(y(x)/x)\cdot dx=\int_0^{2.5}(0.32)\cdot dx\\\\M=0.32(x_b-x_a)=0.32(2.5-0)=0.32*2.5=0.8$

3 0

3 years ago

Mark and Heather Starr are celebrating their 25th anniversary by having a reception at a local reception hall. They have budgete

valkas [14]

Answer:

<h2> 62 persons</h2>

Step-by-step explanation:

Step one:

given data

total budget=$2500

we are told that the hall charges $60 for cleanup, the amount is a fix charge

and per person is $39

let the number of persons be x

The model for the situation is described by y=mx+c

Step two:

2500=39x+60

solve for x

2500-60=39x

2440=39x

divide both sides by 39 we have

x=2440/39

x=62.56

The greatest number of people that they may invite and still stay within their budget. is 62

4 0

3 years ago