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2 years ago

What is "the negation of the product of five times a number divided by two is ten" as a written equation?

Mathematics

2 answers:

Liono4ka [1.6K]2 years ago

7 0

Answer:

-5x/2 = 10

x = -4

Step-by-step explanation:

Let the unknown number be represented as x.

Negation of the product of five times the number is - 5x

Negation of the product of five times a number divided by two is ten.

Expressing this in equation format:

-5x/2 = 10

=> x = -(10 * 2)/5 = -20/5 = -4

Hence the unknown number is -4.

Validation:

-5 * (-4) / 2 = 20/2 = 10

The given equality is satisfied when the value of unknown variable x = -4

Vaselesa [24]2 years ago

6 0

Answer:

-(5*-4)/2 = 10

Step-by-step explanation:

The product of 5*-4 = -20

-20/2 =-10

This product itself is negative (the but outside the parentesis there is a negative sign (the negation of this product) (-,- =+)

-(5*-4)/2 = 10

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A company claims that less than 10% of adults own a smart watch. You want to test this claim, and you find that in a random samp

Nezavi [6.7K]

Answer:

Test statistic is 0.67

Critical value is -2.33

Step-by-step explanation:

Consider the provided information.

The formula for testing a proportion is based on the z statistic.

$z=\frac{\hat p-p_0}{\sqrt{p_0\frac{1-p_0}{n}}}$

Were $\hat p$ is sample proportion.

$p_0$ hypothesized proportion and n is the smaple space,

Random sample of 100 adults, 12% say that they own a smart watch.

A company claims that less than 10% of adults own a smart watch.

Therefore, n = 100 $\hat p$ = 0.12 , $P_0$ = 0.10

$1 - P_0 = 1 - 0.10 = 0.90$

Substitute the respective values in the above formula.

$z=\frac{0.12-0.10}{\sqrt{0.10\frac{0.90}{100}}}$

$z\approx 0.67$

Hence, test statistic = 0.67

This is the left tailed test.

Now using the table the P value is:

P(z < 0.667) = 0.7476

P-value = 0.7476

$\alpha = 0.01$

Here, P-value > α therefore, we are fail to reject the null hypothesis.

$Z_{\alpha}= Z_{0.01} = -2.33$

Hence, Critical value is -2.33

7 0

2 years ago

Find the Missing point, given the slope. (Hint: Set up an equation and solve) (-2, y^1), (6, 7) Slope = 1/2

ziro4ka [17]

(-2, y1), (6, 7) Slope = 1/2

slope = (y2-y1)/(x2-x1)
1/2 = (7 - y1) / (6 - -2)
1/2 = (7-y1) / 8
7-y1 = 8/2
7-y1 = 4
y1 = 7 - 4
y1 = 3

Answer: (-2, 3), (6, 7) with Slope = 1/2

proof:
slope = (y2-y1)/(x2-x1)
slope = (7 - 3) / (6 - -2)
slope = 4/8
slope = 1/2

3 0

2 years ago

ALGEBRA 1 Order the numbers from Leary to greatest 2.5 , 5/3 , sqrt 9/4 sqrt 5

tamaranim1 [39]

Answer:

2.5, √5, 5/3, √9/4

Step-by-step explanation:

√5 = 2.236

5/3 = 1.667

√9/4 = 0.75

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2 years ago

the ratio of length, breadth and height of a room is 4:3:1. If 12m^3 air is contained in a room, find the length , breadth and h

son4ous [18]

9514 1404 393

Answer:

length: 4 m
breadth: 3 m
height: 1 m

Step-by-step explanation:

The product of ratio units is 12 unit³, so each must stand for 1 m.

The dimensions of the room match the ratio units:

4 m length by 3 m breadth by 1 m height

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2 years ago

What is the exact volume of a cylinder whose radius is 9 feet and whose height is 26 feet?

deff fn [24]

6616.19 ft^3 is the answer

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3 years ago

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