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Ludmilka [50]
3 years ago
6

Order of Operations- -6+(-30) divided by 5-(-2). Explain step by step

Mathematics
1 answer:
Reil [10]3 years ago
7 0

Answer:

-36/7 or -5.14287

Step-by-step explanation:

so I would get rid of parentheses you do not need them

\frac{-6+-30}{5--2}=\frac{-36}{7}(because when two negative come before two numbers like -x-y they are being added but negative is present to the result of the sum, when one negative sign comes after a number and the other negative sign comes before a number, like x--y they are being added as well but negative is not present to the result of the sum)

-36/7=-5.1428

hope this helps!

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Using the information in the customer order, determine the length and width of the garden. Enter the dimensions. ↓
SashulF [63]

Answer:

Length: 14 feet   Width: 1 foot

Step-by-step explanation:

This is the only way to have a rectangle that has a perimeter of 30 feet, and an area of 14 feet.

For perimeter:

14 + 14 = 28

1 + 1 = 2

2 + 28 = 30

These dimensions have a perimeter of 30.

For area:

14 x 1 = 14

These dimesnions also have an area of 14.

So, 14 and 1 are the correct dimensions!

6 0
3 years ago
Given the polynomial 5x3−2x2+12, what is the leading coefficient?
elena-s [515]

Answer:

a.2

Step-by-step explanation:

4 0
3 years ago
Need help
aleksandr82 [10.1K]

Using the normal distribution, the probabilities are given as follows:

a. 0.4602 = 46.02%.

b. 0.281 = 28.1%.

<h3>Normal Probability Distribution</h3>

The z-score of a measure X of a normally distributed variable with mean \mu and standard deviation \sigma is given by:

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

  • The z-score measures how many standard deviations the measure is above or below the mean.
  • Looking at the z-score table, the p-value associated with this z-score is found, which is the percentile of X.
  • By the Central Limit Theorem, the sampling distribution of sample means of size n has standard deviation s = \frac{\sigma}{\sqrt{n}}.

The parameters are given as follows:

\mu = 959, \sigma = 263, n = 37, s = \frac{263}{\sqrt{37}} = 43.24

Item a:

The probability is <u>one subtracted by the p-value of Z when X = 984</u>, hence:

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

Z = \frac{984 - 959}{263}

Z = 0.1

Z = 0.1 has a p-value of 0.5398.

1 - 0.5398 = 0.4602.

Item b:

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

By the Central Limit Theorem:

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

Z = \frac{984 - 959}{43.24}

Z = 0.58

Z = 0.58 has a p-value of 0.7190.

1 - 0.719 = 0.281.

More can be learned about the normal distribution at brainly.com/question/4079902

#SPJ1

8 0
2 years ago
Use the distributive property to write an equivalent expression for -1/2 (4 minus 6x)
Softa [21]

Answer:

<h2>3x - 2</h2>

Step-by-step explanation:

<em>The distributive property</em>:

<em>a(b + c) = ab + ac</em>

-\dfrac{1}{2}(4-6x)=\left(-\dfrac{1}{2}\right)(4)+\left(-\dfrac{1}{2}\right)(-6x)=-2+3x

3 0
3 years ago
ΔABC is similar to ΔAXY by a ratio of 4:3. If BC = 24, what is the length of XY? triangles ABC and AXY that share vertex A where
nekit [7.7K]

Answer:

XY = 18

Step-by-step explanation:

Given

ABC:AXY = 4 : 3

BC = 24

Required

Find XY

Represent BC and XY as a ratio;

BC : XY = 24 : xy

Recall that:

ABC:AXY = 4 : 3

Equate both ratios;

24 : xy = 4 : 3

Convert to fractions

\frac{24}{xy} = \frac{4}{3}

Cross Multiply

xy * 4 = 24 * 3

xy * 4 = 72

Divide through by 3

xy * 4/4 = 72/4

xy = 18

Hence:

XY = 18

3 0
3 years ago
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