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2 years ago

Solve the equation 4x^2 + 24x + 13 = 2x^2+ 6x to the nearest tenth.

Mathematics

1 answer:

Licemer1 [7]2 years ago

6 0

Answer:

-0.8 and -8.2

Step-by-step explanation:

To solve a quadratic you first need to have one side of the equation equal to zero (because x-intercepts are when y is zero).

4x^2 + 24x + 13 = 2x^2 + 6x

2x^2 + 18x + 13 = 0

Then you can use the quadratic formula to solve for x. You will then come to

-18 ± sqrt(220) / 4

This will simplify out (rounding to the nearest tenth) to -0.8 and -8.2

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A die is thrown. What is the probability of getting 6? (a) 0 b 1/6 c 1/2 d 1

Firdavs [7]

Answer:

1/6

Step-by-step explanation:

There are 6 sides on a die, labeled 1,2,3,4,5,6

P(6) = number of 6's / total numbers

= 1/6

8 0

3 years ago

Solve the following equation: 2/3 - 1/x = 13/15

Brilliant_brown [7]

Answer:

x=−5

Step-by-step explanation:

Steps:

Step 1 to 4 : Simplify

Steps 5: Calculating the Least Common Multiple

Steps 6: Calculating Multipliers

The correct answer for this question is x=−5

Answer: x=−5

Hope this helps.

6 0

3 years ago

Read 2 more answers

H/5 = 5.1 What is H?

inysia [295]

This basically says all the steps ! If you have any questions just tell me :)

5 0

3 years ago

Read 2 more answers

Crawling Crayfish!

boyakko [2]

Answer: Crayfish, 25 s

Step-by-step explanation:

Given

The length of race is 60 cm

Flicker gets a 10 cm head-start

Cray fish covers 6 cm in 5 s i.e. its speed is

$\Rightarrow \dfrac{6}{5}=1.2\ cm/s$

Flicker covers 4 cm in 5 s, its speed is

$\Rightarrow \dfrac{4}{5}=0.8\ cm/s$

Time taken by Cray fish to cover the race is

$\Rightarrow t_1=\dfrac{60}{1.2}\\\\\Rightarrow t_1=50\ s$

Time taken by flicker to cover race with 10 cm head start

$\Rightarrow t_2=\dfrac{60-10}{0.8}\\\\\Rightarrow t_2=62.5\ s$

Time taken by crayfish is less. Hence, crayfish wins the race

When they both covers the same distance, they tied momentarily i.e.

$\Rightarrow 1.2t=10+0.8t\\\Rightarrow 0.4t=10\\\\\Rightarrow t=\dfrac{10}{0.4}\\\\\Rightarrow t=25\ s$

After 25 s, they tied the race.

5 0

2 years ago

it is known that the population proton of utha residnet that are members of the church of jesus christ 0l6 suppose a random samp

Lady_Fox [76]

Answer:

0.0838 = 8.38% probability of obtaining a sample proportion less than 0.5.

Step-by-step explanation:

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

Normal Probability Distribution

Problems of normal distributions can be solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the z-score 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 p-value, we get the probability that the value of the measure is greater than X.

Central Limit Theorem

The Central Limit Theorem establishes 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.

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 $s = \sqrt{\frac{p(1-p)}{n}}$