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4 years ago

Write an equation in point slope form of the line through point J(4,1) with slope -4

Mathematics

1 answer:

lara [203]4 years ago

3 0

Answer:

y - 1 = -4(x - 4)

Step-by-step explanation:

The point-slope form looks like y-k = m(x-h), where (h,k) is a point on the line and m is the slope.

Here, y - 1 = -4(x - 4). This is in point-slope form.

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Select all the equations that represent functions where the range decreases as the domain increases.

taurus [48]

A, C, and E.
you can check them by putting into y=mx+b form. if m is negative then as domain increases range decreases.

3 0

3 years ago

US consumers are increasingly using debit cards as a substitute for cash and checks. From a sample of 100 consumers, the average

scoray [572]

Answer:

A. Margin of error = 128.79

B. The 99% confidence interval for the population mean is (7661.21, 7918.79).

Step-by-step explanation:

We have to calculate a 99% confidence interval for the mean.

The population standard deviation is know and is σ=500.

The sample mean is M=7790.

The sample size is N=100.

As σ is known, the standard error of the mean (σM) is calculated as:

$\sigma_M=\dfrac{\sigma}{\sqrt{N}}=\dfrac{500}{\sqrt{100}}=\dfrac{500}{10}=50$

The z-value for a 99% confidence interval is z=2.576.

The margin of error (MOE) can be calculated as:

$MOE=z\cdot \sigma_M=2.576 \cdot 50=128.79$

Then, the lower and upper bounds of the confidence interval are:

$LL=M-t \cdot s_M = 7790-128.79=7661.21\\\\UL=M+t \cdot s_M = 7790+128.79=7918.79$

The 99% confidence interval for the population mean is (7661.21, 7918.79).

8 0

3 years ago

7 is what percentage of 14? 50% 25% 10% 75%

Doss [256]

7 is 50% of 14 because 2 times 7=14 and 50 times 2=100

3 0

3 years ago

Read 2 more answers

Find the length of section A & D in the diagram below (PLEASE ANSWER QUICKLY:) )

Dmitrij [34]

Answer:

30.47

Step-by-step explanation:

Use the Pythagorian theorym

5 0

4 years ago

69. Suppose that you currently have one credit card with a balance of $10,000 at an annual rate of 24.00% interest. You have sto

BaLLatris [955]

Answer:

$i = 1,8087 %$

$r = 1.018$

Step-by-step explanation:

For an effective annual rate j you have that the monthly interest rate can be related to it as:

$(1+i)^{12} = 1+j$

Solving for i:

$i=\sqrt[12]{1+j} -1$

replacing j = 24% => i = 1,8087 %

So growth rate r would be:

$r = 1 + i = 1.018$

6 0

4 years ago