5y+ 9< 24 what is the inequality?

Answers

Answer 1
Answer:

Answer:

y<3

Step-by-step explanation:

Let's solve your inequality step-by-step.

5y+9<24

Step 1: Subtract 9 from both sides.

5y+9−9<24−9

5y<15

Step 2: Divide both sides by 5.

5y/5 < 15/5

y<3


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HELLPP Determine the constant of proportionality in the situation below.Five bags of candy cost $15.75

Answers

Answer:

3.15

Step-by-step explanation:

15.75 divided by 5 gets you 3.15

An oil company fills 1/12 of a tank in 1/3 hour. At this rate, which expression can be used to determine how long will it take for the tank to fill completely? a. 1/12 x 3 hours
b. 1/3 x 12 hours
c. 1/3 x 1/12 hour
d. 3 x 12 hours

Answers

Selection B is appropriate.

_____
It takes 12 times as long to fill the whole tank as it does to fill 1/12 of the tank.
.. 12 * (1/3 hour) = (1/3)*12 hour

Answer: b . (1)/(3)*12 hours

Step-by-step explanation:

Given : A oil company fills (1)/(12) of a tank in (1)/(3) hour.

i.e. Time taken to fill (1)/(12) of a tank=  (1)/(3) hour.

By using the Unitary method, we multiply 12 on bith the sides of the above expression we get

Time taken to fill (1)/(12)*12  tank=  (1)/(3)*12 hour.

⇒ Time taken to fill 1 tank=  (1)/(3)*12=4 hour.

Hence, it will take (1)/(3)*12 hours or 4 hours for the tank to fill completely.

Thus , the correct answer is b . (1)/(3)*12 hours

Suppose 41%41% of American singers are Grammy award winners. If a random sample of size 860860 is selected, what is the probability that the proportion of Grammy award winners will differ from the singers proportion by less than 5%5%?

Answers

Answer:

99.72% probability that the proportion of Grammy award winners will differ from the singers proportion by less than 5%.

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal probability distribution

When the distribution is normal, we use the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

Z = (X - \mu)/(\sigma)

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean \mu and standard deviation \sigma, the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean \mu and standard deviation s = (\sigma)/(√(n)).

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean \mu = p and standard deviation s = \sqrt{(p(1-p))/(n)}

In this question:

n = 860, p = 0.41

So

\mu = 0.41, s = \sqrt{(0.41*0.59)/(860)} = 0.0168

What is the probability that the proportion of Grammy award winners will differ from the singers proportion by less than 5%?

This is the pvalue of Z when X = 0.41 + 0.05 = 0.46 subtracted by the pvalue of Z when X = 0.41 - 0.05 = 0.36. So

X = 0.46

Z = (X - \mu)/(\sigma)

By the Central Limit Theorem

Z = (X - \mu)/(s)

Z = (0.46 - 0.41)/(0.0168)

Z = 2.98

Z = 2.98 has a pvalue of 0.9986

X = 0.36

Z = (X - \mu)/(s)

Z = (0.36 - 0.41)/(0.0168)

Z = -2.98

Z = -2.98 has a pvalue of 0.0014

0.9986 - 0.0014 = 0.9972

99.72% probability that the proportion of Grammy award winners will differ from the singers proportion by less than 5%.

[Calc1] Help with 2 questions?

(B) What is the least squares regression line

(C) According to the model in (b), for every increase of $1000 in income, the ulcer rate (per 100 population) will go down by _________ points.

Answers

Answer:

B) y = -9.98×10⁻⁵ x + 13.95

C) 0.1

Step-by-step explanation:

Using Excel, the least squares regression line, rounded to two decimal places, is y = -9.98×10⁻⁵ x + 13.95.

The slope is -9.98×10⁻⁵, so if x increases by 1000, then y changes by -9.98×10⁻² = -0.0998.  Rounded to one decimal place, the ulcer rate per 100 population will go down by 0.1 points.

Where does f(x) = 3x2 – 11x - 4 intersect the x-axis?0).
The negative x-intercept is at
The positive x-intercept is at
0).

Answers

Answer:

( -1/3 , 0 )

( 4 , 0 )

If an artist has 14 pounds of clay and she uses 5 1/4 pounds. How many pounds of clay will she have left?

Answers

Answer: She will have 1.75 pounds of clay left

Step-by-step explanation: you need to divide 51/4 and it is 12.75 and then you subtract 14-12.75 and get = 1.25

Answer:

She will have 8 and 3/4 | 8.75

Step-by-step explanation:

First you subtract the whole numbers,

14 - 5 = 9

Then because you have no fraction you take a whole number and split it into 4/4 or = 1 whole

4/4 - 1/4 = 3/4

She will have 8 and 3/4 or 8.75