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3 years ago

The equation of a line is 4x−3y=−24 .

Mathematics

1 answer:

Ludmilka [50]3 years ago

8 0

Answer:

x = - 6

Step-by-step explanation:

The x-intercept is when y =0, you are looking for a point (x, 0)

So you replace y = 0 in the equation

4x - 3y = - 24

4x - 3(0) = - 24

4x = - 24

x = - 6

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What is the answer to the equation: 6/4=15/x ?

Nat2105 [25]

To be able to find the value of X, we have to cross multiply the two fractions then solve the equation.
As so,

6/4 = 15/x

Cross Multiply:

6 x X = 6x
4 x 15 = 60

We cross multiplied, now we can set up the equation:

6x = 60

Simplify: (Get X by itself)

Divide 6 on each side

6 / 6x = 60 / 6
x = 60 / 6
x = 10

Now we have the total of X! To check our answer, we can substitute X for 10 in the original equation.
As so:

6/4 = 15/10

6/4 = 1.5
15/10 = 1.5

Correct! Our answer is X = 10!

Hope I could help you out! If my math is incorrect, or I provided an answer you were not looking for, please let me know and I will be sure to assist you further! However, if my math was well, and correctly, explained, please consider marking my answer as <em>Brainliest!</em> :)

Have a good one!
God Bless.

7 0

3 years ago

HURRICANES A category 3 hurricane reaches speeds up to 20.88 kilometers per hour. The distance from Cuba to Key West is 145 kilo

White raven [17]

Let us assume that the time taken by the category 3 hurricane to travel from Cuba to Key West = X minutes
Speed of the category 3 hurricane is given as 20.88 km/hr
So the category 3 hurricane can travel 20.88 km in 1 hour.
The distance between Cuba and Key West = 145 km
Then
20.88 km is travelled by the category 3 hurricane in = 60 minutes
145 km from Cuba to Key west is travelled by the category 3 hurricane in = X minutes
So,
X = [(145 * 60)/20.88] minutes
= 416.66 minutes
= 17 hours and 36 minutes
Time taken by the category 3 hurricane to reach Key West from Cuba is 17 hours and 36 minutes.

8 0

3 years ago

Super Salad Dressing is made with 8 mL of oil for every 3 mL of vinegar. Which mixtures will taste the same as Super Salad Dress

sesenic [268]

Answer: The Answers Are: A, C, E

Step-by-step explanation: Find the Equivalent Ratios! :)

8 0

4 years ago

What is 15%of8700 please give the right answer

posledela

15% becomes 0.15
multiply it by 8700
0.15x8700=1305

7 0

2 years ago

Read 2 more answers

The amount people pay for cable service varies quite a bit but the mean monthly fee is $142 and the standard deviation is $29. t

zhuklara [117]

Answer:

a) By the Central Limit Theorem, the mean is $142 and the standard deviation is $0.7488.

b) By the Central Limit Theorem, approximately normal.

c) 0.0901 = 9.01% probability that the average cable service paid by the sample of cable service customers will exceed $143

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:

$Z = \frac{X - \mu}{\sigma}$

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 $s = \frac{\sigma}{\sqrt{n}}$ .

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

The mean monthly fee is $142 and the standard deviation is $29.

This means that $\mu = 142, \sigma = 29$

Part a: what are the mean an standard deviation of the sample distribution of x hat show your work and justify your reasoning.

Sample of 1500(larger than 30).

By the Central Limit Theorem

The mean is $142

The standard deviation is $s = \frac{29}{\sqrt{1500}} = 0.7488$

Part b: what is the shape of the sampling distribution of x hat justify your answer.

By the Central Limit Theorem, approximately normal.

Part C: what is the probability that the average cable service paid by the sample of cable service customers will exceed $143?

This is 1 subtracted by the pvalue of Z when X = 143. So

$Z = \frac{X - \mu}{\sigma}$

By the Central Limit Theorem

$Z = \frac{X - \mu}{s}$

$Z = \frac{143 - 142}{0.7488}$

$Z = 1.34$

$Z = 1.34$ has a pvalue of 0.9099

1 - 0.9099 = 0.0901

0.0901 = 9.01% probability that the average cable service paid by the sample of cable service customers will exceed $143

4 0

3 years ago