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3 years ago

Which ordered pair(s) are solutions to the function f(x) = 6x-4

Mathematics

2 answers:

kozerog [31]3 years ago

7 0

Answer:

(Look at comments)

Georgia [21]3 years ago

4 0

Answer:

jnkj

Step-by-step explanation:

You might be interested in

How much lighter is 345 g than 1,1 kg

NemiM [27]

Answer:

755 gram lighter

Step-by-step explanation:

Convert 1.1kg into gram by multiplying it with 1000

1.1 x 1000= 1100 and we take this amount and subtract it with 345g

1100-345= 755g

3 0

3 years ago

30.

aleksley [76]

Answer:

The smallest possible perimeter of the triangle, rounded to the nearest tenth is 72.4 in

Step-by-step explanation:

The Triangle Inequality Theorem states that the sum of any 2 sides of a triangle must be greater than the measure of the third side

Let

x ------> the length of the remaining side

Applying the triangle inequality theorem

1) x+x > 30

2x > 30

x > 15 in

The perimeter is equal to

P=30+2x

<em>Verify each case</em>

1) For P=41.0 in

substitute in the formula of perimeter and solve for x

41.0=30+2x

2x=41.0-30

x=5.5 in

Is not a solution because the value of x must be greater than 15 inches

2) For P=51.2 in

substitute in the formula of perimeter and solve for x

51.2=30+2x

2x=51.2-30

x=10.6 in

Is not a solution because the value of x must be greater than 15 inches

3) For P=72.4 in

substitute in the formula of perimeter and solve for x

72.4=30+2x

2x=72.4-30

x=21.2 in

Could be a solution because the value of x is greater than 15 inches

4) For P=81.2 in

substitute in the formula of perimeter and solve for x

81.2=30+2x

2x=81.2-30

x=25.6 in

Could be a solution because the value of x is greater than 15 inches

therefore

The smallest possible perimeter of the triangle, rounded to the nearest tenth is 72.4 in

5 0

3 years ago

Read 2 more answers

The Science Club went on a two-day field trip. The first day the members paid $40 for transportation plus $19 per ticket to the

adelina 88 [10]

Answer:

y(total cost)=35n+125

Step-by-step explanation:

First day: 19n+40

Second day: 16x+85

Total: 35n+125

3 0

3 years ago

The weight of an adult swan is normally distributed with a mean of 26 pounds and a standard deviation of 7.2 pounds. A farmer ra

Snezhnost [94]

Let $X$ denote the random variable for the weight of a swan. Then each swan in the sample of 36 selected by the farmer can be assigned a weight denoted by $X_1,\ldots,X_{36}$ , each independently and identically distributed with distribution $X_i\sim\mathcal N(26,7.2)$ .

You want to find

$\mathbb P(X_1+\cdots+X_{36}>1000)=\mathbb P\left(\displaystyle\sum_{i=1}^{36}X_i>1000\right)$

Note that the left side is 36 times the average of the weights of the swans in the sample, i.e. the probability above is equivalent to

$\mathbb P\left(36\displaystyle\sum_{i=1}^{36}\frac{X_i}{36}>1000\right)=\mathbb P\left(\overline X>\dfrac{1000}{36}\right)$

Recall that if $X\sim\mathcal N(\mu,\sigma)$ , then the sampling distribution $\overline X=\displaystyle\sum_{i=1}^n\frac{X_i}n\sim\mathcal N\left(\mu,\dfrac\sigma{\sqrt n}\right)$ with $n$ being the size of the sample.

Transforming to the standard normal distribution, you have

$Z=\dfrac{\overline X-\mu_{\overline X}}{\sigma_{\overline X}}=\sqrt n\dfrac{\overline X-\mu}{\sigma}$

so that in this case,

$Z=6\dfrac{\overline X-26}{7.2}$

and the probability is equivalent to

$\mathbb P\left(\overline X>\dfrac{1000}{36}\right)=\mathbb P\left(6\dfrac{\overline X-26}{7.2}>6\dfrac{\frac{1000}{36}-26}{7.2}\right)$
$=\mathbb P(Z>1.481)\approx0.0693$

5 0

3 years ago

Write and solve an equation to answer the question, "39.2 is what percent p of 112?" An equation is __ =p⋅ __. The solution is p

andrey2020 [161]

39.2 = 112x

x = 0.35 = 35%

5 0

3 years ago

Read 2 more answers