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3 years ago

How do i solve this equation of x-9=4.68

Mathematics

2 answers:

Naya [18.7K]3 years ago

8 0

Answer:

x = 13.68

Step-by-step explanation:

x - 9 = 4.68

Get the equation into the form Ax = b so that x is on its own.

x - 9 = 4.68

x = 4.68 + 9

x = 13.68

posledela3 years ago

3 0

Answer:

x-9=4.68

therefore

x=-4.68+9

x= 4.32

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I will be marking brainliest please help me with these questions.

krek1111 [17]

Answer/Step-by-step explanation:

1. To find the area of the shaded region, you'd find the area of the white rectangular shape, next, find the area of the whole triangular shape, then find the difference of their areas to get the area of the shaded region. Thus, the formula to use would be:

Area of shaded region = area of triangle - area of rectangle

Area of shaded region = ½*base*height - length*width

1. a. Volume of triangular prism = area of triangular base * height of prism

Volume of triangular prism = ½bh * H

Where,

b = 6 m

h = 4 m

H = 8 m

Substitute

Volume of prism = ½*6*4*8

Volume of prism = 96 m³

b. Volume of sphere = ⁴/3πr³

Where,

r = 9 cm

Substitute

Volume = ⁴/3*π*9³

Volume = ⁴/3*π*729

Volume ≈ 3,053.6 cm³ (nearest tenth)

2. Use Pythagorean theorem to find the height of the cone

radius of the cone (r) = ½(16) = 8 cm

Slant height (l) = 11 cm

height (h) = ?

Using Pythagorean theorem, we have:

h = √(l² - r²)

Substitute

h = √(11² - 8²)

h = √(57)

h ≈ 7.5 cm (nearest tenth)

b. Volume of the cone = ⅓πr²h

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7 0

3 years ago

Suppose that a recent article stated that the mean time spent in jail by a first-time convicted burglar is 2.5 years. A study wa

4vir4ik [10]

Using the z-distribution, it is found that since the test statistic is greater than the critical value, it can be concluded that the mean length of jail time has increased.

At the null hypothesis, it is tested if the mean length of jail time is still of 2.5 years, that is:

$H_0: \mu = 2.5$

At the alternative hypothesis, it is tested if it has increased, that is:

$H_1: \mu > 2.5$

We have the standard deviation for the population, thus, the z-distribution is used. The test statistic is given by:

$z = \frac{\overline{x} - \mu}{\frac{\sigma}{\sqrt{n}}}$

The parameters are:

$\overline{x}$ is the sample mean.
$\mu$ is the value tested at the null hypothesis.
$\sigma$ is the standard deviation of the sample.
n is the sample size.

For this problem, the values of the parameters are: $\overline{x} = 3, \mu = 2.5, \sigma = 1.5, n = 26$

Hence, the value of the test statistic is:

$z = \frac{\overline{x} - \mu}{\frac{\sigma}{\sqrt{n}}}$

$z = \frac{3 - 2.5}{\frac{1.5}{\sqrt{26}}}$

$z = 1.7$

The critical value for a right-tailed test, as we are testing if the mean is greater than a value, with a significance level of 0.05, is of $z^{\ast} = 1.645$

Since the test statistic is greater than the critical value, it can be concluded that the mean length of jail time has increased.

A similar problem is given at brainly.com/question/24166849

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2 years ago

Whoever answers the questions correctly gets brainlist

andrew11 [14]

Answer:

2. B

3. B

4. 2(7k+5h)

5. $325

Step-by-step explanation:

2) "X decreased by the sum of 2x + 5" Decreased means to be lowered, so that means this problem has subtraction in it. It also says x is being decreased BY the sum of 2x + 5 so that means 2x + 5 needs to be solved, which calls for parentheses. B best fits the description.

3) It is B because if you distribute the 8 to 2a and 3b, you'll get 16a and 24b, which is the given expression.

4) The given expression is 10h + 14k and in the equivalent expression, you are given 5h. To get from 10 to 5, you must divide by 2. This tells you that 2 is being distributed, so you put 2 before the parentheses. Since you divided 10 by 2, you want to do the same to 14, which is 7. Therefore, it is 2(7k+5h).

5) You are given the hourly charge, which is $25. This means that they charge $25 per hour/for every hour. You want to find the cost for 13 hours, so you multiply the hourly charge by 13 hours. 25 x 13 = 325.

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3 years ago

A bookstore sells 1 book for $14.75. Which table represents the relationship between number of books and the total price?

babymother [125]

Answer:

Number of books sold = 14.75*x

Step-by-step explanation:

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3 years ago

Write the following number in decimal notation. Three thousand five hundred and seven hundredths

viktelen [127]

3500.07

I hope this helps!