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3 years ago

Which function has a constant additive rate of change of -1/4?

Mathematics

1 answer:

Anastasy [175]3 years ago

5 0

Answer:

Explanation:

every 1 unit the line goes down, it shifts over 4 units to the right

thus, the slope equals ( -1 / 4 )

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How many nickels are there in seventeen dollars?

Hunter-Best [27]

20 nickels = 1 dollar

So, do 20 x 17.

20 x 17 = 340 nickels which is $17.

The answer is 340 nickels!

4 0

3 years ago

The fraction of defective integrated circuits produced in a photolithography process is being studied. A random sample of 300 ci

4vir4ik [10]

Answer:

(a) The confidence interval is: 0.0304 ≤ π ≤ 0.0830.

(b) Upper confidence bound = 0.0787

Step-by-step explanation:

(a) The confidence interval for p (proportion) can be calculated as

$p \pm z*\sigma_{p}$

$\sigma=\sqrt{\frac{\pi*(1-\pi)}{N} }\approx\sqrt{\frac{p(1-p)}{N} }$

NOTE: π is the proportion ot the population, but it is unknown. It can be estimated as p.

$p=17/300=0.0567\\\\\sigma=\sqrt{\frac{p(1-p)}{N} }=\sqrt{\frac{0.0567(1-0.0567)}{300} }=0.0134$

For a 95% two-sided confidence interval, z=±1.96, so

$\\LL = p-z*\sigma=0.0567 - (1.96)(0.0134) = 0.0304\\UL =p+z*\sigma= 0.0567 + (1.96)(0.0134) = 0.0830\\\\$

The confidence interval is: 0.0304 ≤ π ≤ 0.0830.

(b) The confidence interval now has only an upper limit, so z is now 1.64.

$UL =p+z*\sigma= 0.0567 + (1.64)(0.0134) = 0.0787$

The confidence interval is: -∞ ≤ π ≤ 0.0787.

5 0

3 years ago

If log3⁡⁡(4y−1)=log3⁡⁡(2y+7), what is the value of y?

Slav-nsk [51]

Knowing that there are two logs on both sides of the brackets, they cancel out.
This leaves:

4y-1=2y+7 (solve for y)
4y-2y=7-1
2y=6
y=3

Hope this helped :)

5 0

3 years ago

N his road trip, Leon stops to refuel and get some snacks. He has the following purchases:

tresset_1 [31]

Answer:

C. Paid $2.60 too much

Step-by-step explanation:

Gas 12 x 2.89 = 34.68

granola 2 x 1.59 = 3.18 x 1.075 = 3.4185

apple .89 x 1.075 = 0.95675

vitamin water 2 x 1.39 = 2.78 x 1.075 = 2.9885

34.68
3.4185
0.95675
+ 2.9885
---------------------
$42.04

$44.64
- $42.04
---------------------
$2.60

3 0

3 years ago

What is the slope that crosses through the point (-4,-5) and (6,8)

Angelina_Jolie [31]

Slope = $\frac{Y2 - Y1}{X2 - X1}$

$\frac{8 - (-5)}{6 - (-4)}$

Your final answer is: $\frac{13}{10}$

5 0

3 years ago

Which function has a constant additive rate of change of -1/4?​

Which function has a constant additive rate of change of -1/4?