Given the sample data x: 23 17 15 30 25 (a) Find the range.

Answer:

its 3.45 x 10^5

Step-by-step explanation:

The solution of the given expression will be 3.84 x 10⁻².

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given that the expression is 3.99 x 10⁻² - 1.5 x 10⁻³. The expression will be solved as below:-

E = 3.99 x 10⁻² - 1.5 x 10⁻³

E = ( 3.99 x 0.15 ) x 10⁻²

E = 3.85 x 10⁻²

Therefore, the solution of the expression is 10⁻².

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Answer: The distributive property.

Step-by-step explanation:

(x^4 +3x^3 -2x^3)(-5x^2 +x) = (x^4 +3x^3 -2x^3)(-5x^2)+(x^4 +3x^3 -2x^3)(x) is an example of the Distributive Property.

It is a property of multiplication and division. It states that when either of these operations is written outside a bracket, the operation must be applied to all terms inside the bracket when it is opened.

(a + b)c = ac + bc

It is given that:

(x^4 +3x^3 -2x^3)(-5x^2 +x) = (x^4 +3x^3 -2x^3)(-5x^2)+(x^4 +3x^3 -2x^3)(x).

We can see that when the bracket of the second term is opened, the first term is multiplied across all the terms that were within the bracket.

This is a feature of the distributive property. It is called the distributive property of multiplication.

Therefore, we have found that the equation (x^4 +3x^3 -2x^3)(-5x^2 +x) = (x^4 +3x^3 -2x^3)(-5x^2)+(x^4 +3x^3 -2x^3)(x) is an example of the Distributive Property.

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Answer:

180 boxes

Step-by-step explanation:

The rate of change is 10 boxes per hour, so if you multiply 10 times 18 you will get 180 which is the answer.

Answer:

0.06

Step-by-step explanation:

6% = 0.06

0.06  as a decimal Hope this helped!

Answer:

7

Step-by-step explanation:

I hope this helps!

Answer:

the last graph (D)

Answer:they are both neagtive numbers.

Step-by-step explanation:

they say it right in front of you.

Answer: 45 minutes.

Step-by-step explanation:

First, divide. 30 divided by 6 is 5.

Then, multiply 5 and 9. That equals 45 so 45 is your answer.

It takes 45 minutes to make the 9 keychains.

Given that, Hugo sells handmade key chains online yesterday he made 6 keychains in 30 minutes.

Proportion, in general, is referred to as a part, share, or number considered in comparative relation to a whole. Proportion definition says that when two ratios are equivalent, they are in proportion. It is an equation or statement used to depict that two ratios or fractions are equal.

Let the time taken to make 9 keychains be x.

Now, 6:30::9:x

⇒ 6×x=30×9

⇒ 6x=270

⇒ x=45 minutes

Therefore, it takes 45 minutes to make the 9 keychains.

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Answer:

35

Step-by-step explanation:

Answer:

22.164

Step-by-step explanation:

Answer:

22.1635

Step-by-step explanation:

Find the ten thousandth place and the look at the next number over. If it is 4 and below then keep the ten thousandth number the same and take off the hundred thousandth place. If it it is 5 or above then round the number up 1 place.

Answer:

3/5

Step-by-step explanation:

when you multiply powers by a zero it = 0 so you would just end up with 3/5

Answer:

Because if you multiply 6 three times, it comes out to be 18.

So basically, 6 x 3 = 18

To be sure, 18 ÷ 6 = 3

So, 18:3 = 6:1

18:3 and 6:1 are equivalent ratios because those are equivalent fractions.

Suppose that we've got two quantities with measurements as 'a' and 'b'

Then, their ratio(ratio of a to b) a:b

or   [tex]\dfrac{a}{b}[/tex]

We usually cancel out the common factors from both the numerator and the denominator of the fraction we obtained. Numerator is the upper quantity in the fraction and denominator is the lower quantity in the fraction).

Suppose that we've got a = 6, and b= 4, then:

[tex]a:b = 6:2 = \dfrac{6}{2} = \dfrac{2 \times 3}{2 \times 1} = \dfrac{3}{1} = 3\\or\\a : b = 3 : 1 = 3/1 = 3[/tex]

Remember that the ratio should always be taken of quantities with same unit of measurement. Also, ratio is a unitless(no units) quantity.

Explanation;

If we get the factors of the first ratio, we will see that;

18: 6 and 3, and 18 and 1

3: 3 and 1

Hence, if we display the ratios in fractions;

18/3 = 6/1

And then we write them in factors, we will get;

3x6/3x1 = 6/1

Simplifying;

3/3 x 6/1 = 2/1 x 3/1 = 1/6

Therefore, 18:3 and 6:1 are equivalent ratios.

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Answer:

a) 0.0228

b) 94.6

Step-by-step explanation:

The formula for calculating a z-score when you are given a random.number of samples is z = (x-μ)/σ/√n

where x is the raw score

μ is the population mean

σ is the population standard deviation

n = random number of samples

Given a normal distribution with u = 75 and o = 40, if you select a sample of n = 16,

a) what is the probability that the sample mean is above 95? (4 d.p.) b)

= x = 95

Hence:

z = 95 - 75/40/√16

= 20/40/4

= 20/10

= 2

Probability value from Z-Table:

P(x<95) = 0.97725

P(x>95) = 1 - P(x<95) = 0.02275

The probability that the sample mean is above 95 to 4 decimal places = 0.0228

b) What is the value, of which there is 97.5% chance that a sample mean is less than that value?

97.5% chance = z score for the confidence interval = 1.96

Hence:

z = (x-μ)/σ/√n

1.96 = x - 75/40/√16

1.96 = x - 75/ 40/4

1.96 = x - 75/10

Cross Multiply

1.96 × 10 = x - 75

19.6 = x - 75

x = 19.6 + 75

x = 94.6

The value, of which there is 97.5% chance that a sample mean is less than that value is 94.6

Answer:

Step-by-step explanation:

Let the speed of runner be r and speed of cyclist be c

We have following equations based on the given

Simplifying first equation

Comparing this with second equation

And finding the value of c

Answer:

I think it is b

Step-by-step explanation:

The distance when the weight is 2 kg will be 12 cm. Then the correct option is B.

The spring force is directly proportional to the deflection of the spring. Let 'x' be the deflection of the spring due to force 'F'. Then the spring force is given as,

F ∝ -x

F = - kx

mg = - kx

The distance D that a spring is stretched by a hanging object varies directly as the weight W of the object. if a 9-kg object stretches a spring 54cm. Then the spring force is calculated as,

9g= - k (54)

- g / 6 = k

Then the equation is given as,

F = (g / 6) x

The distance when the weight is 2 kg will be given as,

2g = (g / 6) x

12 = x

The distance when the weight is 2 kg will be 12 cm. Then the correct option is B.

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Answer: -2÷3

Step-by-step explanation:

-(2÷3) = -2÷3

Answer:

x=-3

Step-by-step explanation:

Divide both sides by 2, so -4x+2=14

Subtract 2 from both sides, -4x=12

Divide both sides by -4, so x=-3

Answer:

4x2 = 28

Step-by-step explanation:

Answer:

Step-by-step explanation:

you want a line with slope = -1/2

So, using the point-slope form of the line,

y-7 = -1/2 (x+4)

y = -1/2 x + 5

Hard to tell what your choices are ...

Answer:

tbh i don't kno either lol

Step-by-step explanation:

hehehe

Answer:

itz 5

Step-by-step explanation:

i took quiz

Answer:

what am i supposed to be rounding to

Step-by-step explanation:

if i was rounding to the tenths it would be 42.8

Answer:

36z+28+8z+40+12z+60+48+16z=

36z+8z+12z+16z+28+40+60+48=

72z+176

Step-by-step explanation:

Answer:

c. 2x + 3 = 1/2(4x+2)+2

Step-by-step explanation:

Hope this helpss!!

Answer:

2x + 3 = 1/2(4x+2)+2

Step-by-step explanation: on edge

Answer:-7

Step-by-step explanation:Let's solve your equation step-by-step.

3(3x+1)−(4x+1)=6x−3(x+4)

Step 1: Simplify both sides of the equation.

3(3x+1)−(4x+1)=6x−3(x+4)

3(3x+1)+−1(4x+1)=6x−3(x+4)(Distribute the Negative Sign)

3(3x+1)+−1(4x)+(−1)(1)=6x−3(x+4)

3(3x+1)+−4x+−1=6x−3(x+4)

(3)(3x)+(3)(1)+−4x+−1=6x+(−3)(x)+(−3)(4)(Distribute)

9x+3+−4x+−1=6x+−3x+−12

(9x+−4x)+(3+−1)=(6x+−3x)+(−12)(Combine Like Terms)

5x+2=3x+−12

5x+2=3x−12

Step 2: Subtract 3x from both sides.

5x+2−3x=3x−12−3x

2x+2=−12

Step 3: Subtract 2 from both sides.

2x+2−2=−12−2

2x=−14

Step 4: Divide both sides by 2.

2x /2

=

−14 /2

x=−7

Answer:

See explanation

Step-by-step explanation:

Given

f(r) => Number of people in the bus after 8am

Required

Interpret f(5) = 23

Going by the analysis in the question, the interpretation goes this:

5 hours after 8 am, there are 23 riders on a bus

We can also interpret as:

There are 23 riders on a bus at 1 pm

Since 1 pm = 5 hours after 8am

Answer:

5

Step-by-step explanation:

Answer:

create a new government

Step-by-step explanation:

hope it helps

The passage suggests that creating a new government can be a suitable option if the existing government fails to protect people's rights.

If the current government fails to defend people's rights, the paragraph argues that forming a new government may be a viable alternative. This option may be explored because it provides the potential to create a system that is more aligned with the ideas and values that people desire in governance.

People may establish a system that prioritizes the protection of rights, assures accountability, and promotes fairness and justice by forming a new government. Individuals may use it to create new laws, rules, and a constitution that represent their chosen ideals and provide greater safeguards for their rights.

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