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2 years ago

Find the inverse of the function y = 3x + 5 Find the inverse of the function y=3x+5

Mathematics

1 answer:

Viktor [21]2 years ago

4 0

Answer:

First Inverse function= f^-1(x)=x/3-5/3

Second Inverse function=f^-1(x)=x/3-5/3

Step-by-step explanation:

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According to AccuData Media Research, 36% of televisions within the Chicago city limits are tuned to "Eyewitness News" at 5:00 p

umka21 [38]

Answer:

a) Mean: 900

Standard deviation: 24

b) Very unusual

c) Unusual

Step-by-step explanation:

We have a population proportion p=0.36 and we are taking a sample of size n=2500. This can be modeled as binomial sampling.

For this sampling distribution, we have a mean and STD that can be calculated as:

$\mu_s=n\cdot p=2500\cdot0.36=900\\\\\sigma_s=\sqrt{n\cdot p(1-p)}=\sqrt{2500*0.36*0.64)}=\sqrt{576}=24$

b) A value of 840 is a very unusual as is more than 2 standard deviations from the expected value of 900 (more exactly, at 2.5 standard deviations). Approximately 2% of the values are below 2 standars deviations from the mean.

Having 840 or less televisions tuned to "Eyewitness News" would have a probability of P=0.00621.

c) A value of 945 would be also unusual, but not as unusual as 840, as is between 1 and 2 standard deviation from the expected value.

Having 945 or more televisions tuned to "Eyewitness News" would have a probability of P=0.0304.

5 0

3 years ago

PLEASE HELP, YOU WILL GET BRAINLIEST

Rom4ik [11]

The answer is (x, y)→(x + 7, y − 7)

5 0

3 years ago

Read 2 more answers

If a laptop originally costs $800, the balance due after the 10% discount and $150 gift card is applied is $.

timama [110]

If a laptop originally costs $800 at purchase, and is then discounted by 10%, the remainder would be $720, given that 10% of $800 is $80. Therefore, once then applying the credit card to reduce it another $150, the final price of the laptop would come out to $570 once the deductions are considered.

4 0

3 years ago

Read 2 more answers

The accompanying summary data on total cholesterol level (mmol/l) was obtained from a sample of Asian postmenopausal women who w

dimulka [17.4K]

Answer:

99% CI:

$-4.637\leq\mu_v-\mu_o\leq 3.737$

Step-by-step explanation:

We have to calculate a 99%CI for the difference of means for the vegan and the omnivore.

First, we have to estimate the standard deviation

$s_{Md}=\sqrt{\frac{2MSE}{n_h}}$

The MSE can be calculated as

$MSE=\frac{(SSE_1+SSE_2)}{df} =\frac{(n_1s_1)^2+(n_2*s_2)^2}{n_1+n_2-2}\\\\MSE=\frac{(85*1.05)^2+(96*1.20)^2}{85+96-2}=\frac{7965.56+13272.04}{179} =118.65$

The weighted sample size nh can be calculated as

$n_h=\frac{2}{1/n_1+1/n_2}=\frac{2}{1/85+1/96}=\frac{2}{0.0222} =90.16$

The standard deviation then becomes

$s_{Md}=\sqrt{\frac{2MSE}{n_h}}=\sqrt{\frac{2*118.65}{90.16}}=\sqrt{2.632} =1.623$

The z-value for a 99% confidence interval is z=2.58.

The difference between means is

$\Delta M=M_v-M_o=5.10-5.55=-0.45$

Then the confidence interval can be constructed as

$\Delta M-z*s_{Md}\leq\mu_v-\mu_o\leq \Delta M+z*s_{Md}\\\\ -0.45-2.58*1.623\leq\mu_v-\mu_o\leq -0.450+2.58*1.623\\\\-0.450-4.187\leq\mu_v-\mu_o\leq-0.450+4.187\\\\-4.637\leq\mu_v-\mu_o\leq 3.737$

8 0

3 years ago

Ramiro brought home ten pounds of rice to add to the 24 ounces of rice he had in the pantry. Let x represent the amount of rice

lianna [129]

16 ounces in a pound.
24 oz= 1.5 ibs.
Added to 10 ibs.
Now has 11.5 ibs.

R(x)= 11.5 - x

3 0

3 years ago

Read 2 more answers

Find the inverse of the function y = 3x + 5 Find the inverse of the function y=3x+5​

Find the inverse of the function y = 3x + 5 Find the inverse of the function y=3x+5