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3 years ago

10= 3(3) + b what is the slope and y-intercept

Mathematics

1 answer:

xeze [42]3 years ago

3 0

Answer:

slope: 3

y-intercept: 1

slope-intercept form equation: y = 3x + 1

Step-by-step explanation:

slope-intercept form is y = mx + b, where m = slope and b = y-intercept.

the equation you're given, 10 = 3(3) + b, is already in slope-intercept form and also already has the slope identified (it's 3!) so thankfully that's one less thing to solve for! :)

all you have to do now is solve for b.

first, multiply 3(3).

10 = 3(3) + b

10 = 9 + b

then subtract 9 from both sides of the equation. 9 and -9 cancel each other out, so the only thing you have to do for this step is subtract 9 from 10.

10 - 9 = b

1 = b <em>aka</em> b = 1

and now you have your b value!

so your slope is 3 and your y-intercept is 1.

i hope this helps! have a nice rest of your day <3

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The specification for the pull strength of a wire that connects an integrated circuit to its frame is 10 g or more. In a sample

Wittaler [7]

Answer:

The 95% confidence interval for the difference is (-0.1888, 0.0202).

Step-by-step explanation:

Difference between proportions:

The distribution of the difference between two proportions has mean of the difference between these proportions and standard deviation is the square root of the sum of the variances. So

In a sample of 86 units made with gold wire, 68 met the specification

This means that:

$pX = \frac{68}{86} = 0.7907$

$sX = \sqrt{\frac{0.7907*0.2093}{86}} = 0.0439$

In a sample of 120 units made with aluminum wire, 105 met the specification.

This means that:

$pY = \frac{105}{120} = 0.875$

$sY = \sqrt{\frac{0.875*0.125}{120}} = 0.0302$

Difference:

$p = pX - pY = 0.7907 - 0.875 = -0.0843$

$s = \sqrt{sX^2 + sY^2} = \sqrt{0.0439^2+0.0302^2} = 0.0533$

Confidence interval:

$p \pm zs$

In which z is the zscore that has a pvalue of $1 - \frac{\alpha}{2}$ , with $\alpha$ being 1 subtracted by the confidence level.

95% confidence level

So $\alpha = 0.05$ , z is the value of Z that has a pvalue of $1 - \frac{0.05}{2} = 0.975$ , so $Z = 1.96$ .

Lower bound of the interval:

$p - zs = -0.0843 - 1.96*0.0533 = -0.1888$

Upper bound of the interval:

$p + zs = -0.0843 + 1.96*0.0533 = 0.0202$

The 95% confidence interval for the difference is (-0.1888, 0.0202).

6 0

3 years ago

Solve for x. Each figure is a trapezoid

Bingel [31]

Pretty sure x is 4 in #9

FG is congruent to ED, and GD and FE are parallel, so that means
16x + 1 = 65

Subtract 1 on both sides you get

16x = 64

Divide by 16 on both sides

x = 4

4 0

3 years ago

What is the explicit rule for the following sequence -10 - 12 -14 -16

Oksana_A [137]

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