Nick found the quotient of 8.64 and 1.25 × 105. his work is shown below. 1. (8.64 × 101) (1.25 × 105) 2. (8.64 1.25 ) (101 105 ) 3. 6.912 × 10–4 analyze nick’s solution. is he correct? if not, what was his mistake? yes, nick is correct. no, the power multiplied to 8.64 should have an exponent of 0. no, he needed to subtract the coefficients. no, he needed to add the exponents.

Step-by-step explanation:

Domain tells us all the possible x values or inputs of a function.

Here the input is n.

The domain here is defined on the interval [-1,3) so the domain can be notated in 3 ways.

Interval Notation: [-1,3]

Words: All inputs that is between -1 and 3, exclusively.

Sign Notation:

[tex] - 1 \leqslant x \leqslant 3[/tex]

The Range of a function is possible y values or outputs of a function.

For the range, plug in x values to find the y values.

Since the range in this problem, is only defined for -1 to 3. Plug in -1 for n in the function.

[tex]2( - 1) - 1 = - 3[/tex]

[tex]2(3) - 1 = 5[/tex]

So the range of is

[-3,5]

Or could be stated

All outputs between -3 and 5 exclusively

[tex] - 3 \leqslant x \leqslant 5[/tex]

Here's a graph. Look Above

[tex]tan(30) = (\frac{x}{7} )\\x = 7*tan(30)[/tex]

After this step, find the button on your calculator that says 'tan' and type n 30 degrees, then press enter or the equal sign or whatever button you press to calculate.

You should get that tan(30) = 0.5774

Now plug that back into the equation

     [tex]x = 7 * 0.5774 = 4.0415[/tex] (approximated)

Hope that helps!

Step-by-step explanation:

rewrite the equation as x/7 = tan (30).

x/7= tan (30)

multiply both sides of the equation by 7 .

7•x/7=7• tan (30)

simplify both sides of equation x=7π3/3

the result can be shown in multiple forms exact forms x=7π3/3

decimal form x=404145188...

TAN (30) =X/7

Answer:

Step-by-step explanation:

Answer:

x = ± 5

Step-by-step explanation:

for the figure to be an isosceles trapezoid

then the lower base angles must be congruent , that is

3x² - 4 = 2x² + 21 ( subtract 2x² from both sides )

x² - 4 = 21 ( add 4 to both sides )

x² = 25 ( take square root of both sides )

x = ± [tex]\sqrt{25}[/tex] = ± 5

Answer:

x=5

Step-by-step explanation:

Here,

→[tex]2x^{2} +21=3x^{2} -4\\\\[/tex]

→[tex]21+4=3x^{2} -2x^{2} \\[/tex]

→[tex]x^{2} =25[/tex]

→[tex]x=\sqrt{25}[/tex]

→[tex]x=5[/tex]

Let's check whether they are equal or not by putting the value of x.

→[tex]2x^{2} +21[/tex]

→[tex](2*5^{2}) +21[/tex]

→[tex]50+21[/tex]

→[tex]71[/tex]

→[tex]3x^{2} -4[/tex]

→[tex](3*5^{2} )-4[/tex]

→[tex]75-4[/tex]

→71

Hence they are equal.

Answer:

See below

Step-by-step explanation:

The condition that calls be made between 8am and 4pm will exclude anyone who leaves home for work or school during those hours, which are the most common work periods of the day.  The sampling will consist primarily of home-keepers, babysitters, or students skipping class or doing homework, with an occasional worker who works the night shift and is upset with the call since it woke that person from sleep.

The z-score of the considered newborn having 4,000 g weight is [tex]\dfrac{4000 - \mu}{\sigma}[/tex]

If we've got a normal distribution, then we can convert it to standard normal distribution and its values will give us the z score.

If we have

[tex]X \sim N(\mu, \sigma)[/tex]

(X is following normal distribution with mean [tex]\mu[/tex] and standard deviation  [tex]\sigma[/tex])

then it can be converted to standard normal distribution as

[tex]Z = \dfrac{X - \mu}{\sigma}, \\\\Z \sim N(0,1)[/tex]

(Know the fact that in continuous distribution, probability of a single point is 0, so we can write

[tex]P(Z \leq z) = P(Z < z) )[/tex]

Also, know that if we look for Z = z in z tables, the p value we get is

[tex]P(Z \leq z) = \rm p \: value[/tex]

For the considered case, the statement in the problem is missing the mean weight of the newborn and standard deviation of the data set of weights of newborn.

Thus, for them, we can consider variables in place of their actual values.

Let we have:

Then, the z-score for X = 4000 is

[tex]z = \dfrac{x - \mu}{\sigma} = \dfrac{4000 - \mu}{\sigma}[/tex]

Thus, the z-score of the considered newborn having 4,000 g weight is [tex]\dfrac{4000 - \mu}{\sigma}[/tex]

Learn more about z-scores here:

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Answer:

The answer would be 1!

Step-by-step explanation:

I did the assignment.

edge 2022

The margin of error for the population mean for the 90% confidence level is 1.10.

The margin of error is a statistic that expresses how much random sampling error there is in a survey's results. The wider the margin of error, the less confident one should be that a poll result reflects the outcome of a population-wide survey.

It is given by the formula:

[tex]\text{MOE}_{\gamma}=z_{\gamma} \times \sqrt{\frac{\sigma^{2}}{n}}[/tex]

As the mean is given to us is 71 beats and the standard deviation is 6 beats, therefore, the margin of error for 90% confidence level can be written as,

[tex]\text{MOE}_{\gamma}=z_{\gamma} \times \sqrt{\frac{\sigma^{2}}{n}}\\\\\text{MOE}_{\gamma}=1.645 \times \sqrt{\dfrac{6^{2}}{80}}\\\\\text{MOE}_{\gamma}=1.645 \times \sqrt{\dfrac{36}{80}}\\\\\text{MOE}_{\gamma}=1.1034\approx 1.10[/tex]

Hence, the margin of error for the population mean for the 90% confidence level is 1.10.

Learn more about the Margin of error:

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Answer:

B on edge

Step-by-step explanation:

Answer:

0.7

Step-by-step explanation:

4/10 + 3/10 = 7/10

7/10 as a decimal is 0.7

Answer: 0.7

Answer:

8

Step-by-step explanation:

Integers are whole numbers or opposite of whole numbers.

The slope is 111/11.

How?

Change of y is 1000-1=999.

Change of x is 100-1=99.

The slope is 999/99=111/11.

So if we start at (1,1) and we rise 111 and run 11 right, we get (12,112).

*Rise effects y and run effects x.

If we do that again from (12,112) we get (23,223).

Following the pattern of going up 111 and right 11 from each new location discovered we get all the of these points:

Start (1,1)

(12,112)

(23,223)

(34,334)

(45,445)

(56,556)

(67, 667)

(78, 778)

(89, 889)

(100, 1000) which is the end.

So we just need to count tthe points between begin point and end point which is 8 points.

Answer:

[tex]x = -1[/tex], [tex]y = 4[/tex]

Step-by-step explanation:

[tex]2x + 3y = 10[/tex]

[tex]3x + 5y = 17[/tex]

By using substitution:

[tex]2x + 3y = 10[/tex]

[tex]2x = -3y + 10[/tex]

[tex]x = -\frac{3}{2} y + 5[/tex]

[tex]3x + 5y = 17[/tex]

[tex]3 (-\frac{3}{2}y + 5) + 5y = 17[/tex]

[tex]\frac{1}{2} y + 15 = 17[/tex]

[tex]\frac{1}{2} y = 2[/tex]

[tex]y = 4[/tex]

[tex]x = -\frac{3}{2}y + 5[/tex]

[tex]x = -\frac{3}{2} (4) + 5[/tex]

[tex]x = -1[/tex]

For WXYZ to be a parallelogram, the value of x must be 3.

A parallelogram is a quadrilateral in which opposite sides are parallel and equal to each other. Opposite angles are also equal to each other. In a parallelogram, diagonals bisect each other when they intersect each other.

In a parallelogram when diagonals intersect, they bisect each other.

So, WC and CY will be equal to each other

i.e. WC = CY

i.e. [tex]2x+5 = 3x+2[/tex]

[tex]2x-3x = 2-5[/tex]

[tex]-x=-3[/tex]

[tex]x=3[/tex]

Therefore, For WXYZ to be a parallelogram, the value of x must be 3.

To get more about parallelograms visit:

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Answer:

x=3

Step-by-step explanation:

E2020

Answer:

The slope of the given line and a line parallel to it is

5

2

.

Explanation:

Given:

5

x

−

2

y

=

11

is the standard form of a linear equation.

A line parallel to this line has the same slope. To determine the slope, solve for

y

to change the equation to slope-intercept form:

y

=

m

x

+

b

,

where:

m

is the slope and

b

is the y-intercept.

5

x

−

2

y

=

11

Subtract

5

x

from both sides.

−

2

y

=

−

5

x

+

11

Divide both sides by

−

2

.

y

=

−

5

−

2

x

+

11

−

2

Simplify.

y

=

5

2

x

−

11

2

The slope of the given line and a line parallel to it is

5

2

.

Answer: I am not sure exactly what you need as there is no context

-> See attached for graph

-> They intersect at point (2, -1)

Step-by-step explanation:

     To answer your question of "I mainly need help with knowing what to do with y=-1​" you will graph it as you do with y = - [tex]\frac{5}{2}[/tex]x + 4.

     Any y = something equation will be a horizontal line. There is no slope, the "mx" chunk, so the line stays straight. You will put a dot at (0, -1) and draw a line straight from that point.

     For y = - [tex]\frac{5}{2}[/tex]x + 4, place a dot at (0, 4) and then count down 5 units and 2 units to the right to place another dot. Then draw a line through these two dots and extend it beyond to create the line.

Step-by-step explanation:

Hope this is helpful

y=-1 is nothing but it's the y value by using that we have to find the x value

The evaluation of the figures needed for the considered survey are:

Suppose the data specified is of n sized as [tex]x_1, x_2, \cdots , x_n[/tex]

Let this data's mean be [tex]\bar{x}[/tex]

Then, the mean absolute deviation of this data is the mean of the absolute differences of the observations from the mean of the data they belong to.

It is calculated as:

[tex]M.A.D = \dfrac{\sum_{i=1}^n|x_i-\bar{x}|}{n}[/tex]

The data is missing from the problem statement, and is as shown below:

Calculating the needed figures part by part:
Part 1: Mean of the group that studied, rounded to the nearest tenth.

Mean is the sum of observations divided by number of observations.

The sum of 18 observations:   88, 100, 94, 79, 92, 100, 95, 83, 89, 99, 100, 91, 89, 95, 100, 93, 96, 84

is 1667. Thus, its mean is 1667/18 ≈ 92.61 ≈ [tex]\bar{x}[/tex]

Part 2: The mean absolute deviation of the group that studied:

The absolute deviations of 18 observations:  88, 100, 94, 79, 92, 100, 95, 83, 89, 99, 100, 91, 89, 95, 100, 93, 96, 84

from the mean  [tex]\bar{x}[/tex] ≈ 92.61 are approx:

[tex]|92.61 - 88| = 4.6\\|92.61 - 100| = 7.4\\|92.61 - 94| = 1.4\\|92.61 - 79| = 13.6\\|92.61 - 92| = 0.6\\|92.61 - 100| = 7.4\\|92.61 - 95| = 2.4\\|92.61 - 83| = 9.6\\|92.61 - 89| = 3.6\\|92.61 - 99| = 6.4\\|92.61 - 100| = 7.4\\|92.61 - 91| = 1.6\\|92.61 - 89| = 3.6\\|92.61 - 95| = 2.4\\|92.61 - 100| = 7.4\\|92.61 - 93| = 0.4\\|92.61 - 96| = 3.4\\|92.61 - 84| = 8.6\\[/tex]

Their sum is 91.8 approx.

Thus, the mean of these 18 absolute deviations comes out as

[tex]91.8/18 \approx 5.1[/tex]

Part 3: The number of scores which are within one mean absolute deviation of the mean

The range within one absolute deviation of the mean is [tex][92.61 - m.a.d, 92.61 + m.a.d] = [92.61 - 5.1, 92.61 + 5.1] = [87.51, 97.71][/tex]

The values from the studied group which is in this range are:

88, 94, 92, 95, 89, 91, 89, 95, 93, 96

They are total 10 in counts.

Thus, the number of scores which are within one mean absolute deviation of the mean is 10

Thus, the evaluation of the figures needed for the considered survey are:

Learn more about mean absolute deviation here:

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Answer:

The first graph

Step-by-step explanation:

*View attached graph*

Hope this helps!

Answer:

A ✓5 is the irrational number.

Step-by-step explanation:

Have a good day. :)

Hello.

A rational number can be expressed as a fraction.

Let's check if we can express the given numbers as fractions.

The first number is √5.

Can we express √5 as a fraction? No.

Why? Because √5=2.236...

We cannot express this number as a fraction.

Thus, √5 is irrational.

Let's check the other 3 numbers.

The second number is -2.

Can we express -2 as a fraction? Sure!

[tex]\displaystyle-\frac{2}{1}[/tex]

Thus, -2 is rational.

What about the third number?

Well, it's already a fraction.

Seems like Option A is the right option, huh? Well, let's check the last one as well.

The last one is √9.

9 does have a square root, unlike 5.

It equals 3:

√9=3

Let's express 3 as a fraction:

[tex]\displaystyle\frac{3}{1}[/tex]

Therefore, Option A is the right option ;)

I hope it helps.

Have a great day.

[tex]\boxed{imperturbability}[/tex]

Distribute the 34 to both the x and -1, and once you do that, your answer is 34x - 34

Answer:

34x - 34

Step-by-step explanation:

34(x - 1) ← multiply each term in the parenthesis by 34

= 34x - 34

Answer:

In order:

[tex]\frac{y^{3}}{2x^{2}}[/tex]

[tex]\frac{9r^2s}{2t^{3}}[/tex]

[tex]23a^9b^8[/tex]

[tex]34x^8y^{14}[/tex]

Step-by-step explanation:

[tex]\frac{4x^3y^2 * 3x^6y^3}{24x^{11}y^2} \\\\\frac{12x^9y^5}{24x^{11}y^2} \\\\\frac{x^9y^5}{2x^{11}y^2} \\\\\\frac{y^5}{2x^{11-9}y^2} \\\\\frac{y^5}{2x^{2}y^2} \\\\\frac{y^{5-2}}{2x^{2}y^2} \\\\\frac{y^{3}}{2x^{2}}[/tex]

[tex](3rs^2t^4)^2/21r^2s^3t^11\\\\\frac{9r^2s^4t^8}{2s^3t^{11}} \\\\\frac{9r^2s^{4-3}t^8}{2s^3t^{11-8}} \\\\\frac{9r^2s}{2t^{3}}[/tex]

[tex](10a^4b^6)(3a^5b^2) -7a^9b^8\\\\30a^9b^8-7a^9b^8\\\\23a^9b^8[/tex]

[tex](-5x^4y^7)^2 + 9x^8y^{14}\\\\25x^8y^{14}+9x^8y^{14}\\\\34x^8y^{14}[/tex]

Hope this helps!

The amount of medicine in the bloodstream decreases by 25% each hour.

The standard exponential equation is expressed as:

y = ab^x

a is the initial amount

b is the rate

If b < 1, hence there is a declince

Given the expoenentia equation A(h)=600(0.75)^h,

b = 1 - r = 0.75

r = 1 - 0.75

r = 0.25

This shows that the amount of medicine in the bloodstream decreases by 25% each hour.

Learn more on exponential equation here: https://brainly.com/question/12940982

Answer:

overestimate

Step-by-step explanation:

The actual numbers are 4.5 and 11.91.

She used 5, which is greater than 4.5 and 12 which is grater than 11.91, so her estimate is an overestimate.

Answer: overestimate

Answer: No

Step-by-step explanation: the dot on the screenshot shows where (5,7) is

Answer:

Yes

Step-by-step explanation:

If you graph y=-3x+22 then it is on the line. (x is 5, y is 7)

We need to find value of x from the equation, so let write the equation first;

[tex]{:\implies \quad \sf \dfrac{7x+14}{3}-\dfrac{17-3x}{5}=6x-\dfrac{4x+2}{3}-5}[/tex]

Taking LCM both sides ;

[tex]{:\implies \quad \sf \dfrac{35x+70-(51-9x)}{15}=\dfrac{18x-(4x+2)-15}{3}}[/tex]

Multiplying both sides by 15 and simplifying ;

[tex]{:\implies \quad \sf 35x+70-51+9x=5(18x-4x-2-15)}[/tex]

[tex]{:\implies \quad \sf 44x+19=5(14x-17)}[/tex]

[tex]{:\implies \quad \sf 44x+19=70x-85}[/tex]

[tex]{:\implies \quad \sf 70x-44x=19+85}[/tex]

[tex]{:\implies \quad \sf 26x=104}[/tex]

[tex]{:\implies \quad \sf x=\dfrac{104}{26}=\boxed{\bf 4}}[/tex]

Hence, The required answer is 4

Given: {(7x + 14)/3} - {(17 - 3x)/5} = 6x - {(4x + 2)/3} - 5

Asked: Find the value of x = ?

Explanation: Given equation is {(7x + 14)/3} - {(17 - 3x)/5} = 6x - {(4x + 2)/3} - 5

⇛{(7x + 14)/3} - {(17 - 3x)/5} = {(6x)/1} - {(4x + 2)/3} - (5/1)

⇛{(7x*5 + 14*5 - 17*3 + 3x*3)/15} = {(6x*3 - 4x*1 - 2*1 - 5*3)/3}

⇛{(35x + 70 - 51 + 9x)/15} = {(18x - 4x - 2 - 15)/3}

⇛{(35x + 9x + 70 - 51)/15} = {(18x - 4x - 2 - 15)/3}

⇛{(44x + 19)/15} = {(14x - 17)/3}

⇛[{1/15}(44x + 19)] = [{1/3}(14x - 17)}]

⇛{(44x + 19)/15} = {(14x - 17)/3}

Since (a/b) = (c/d) ⇛a(d) = b(c) ⇛ad = bc

Where, a = 44x + 19, b = 15

c = 14x - 17 and d = 3

On applying cross multiplication then

⇛3(44x + 19) = 15(14x - 17)

Multiply the numbers outside of the bracket with numbers in the bracket.

⇛132x + 57 = 210x - 255

Shift the variable value on LHS and constant value on RHS.

⇛132x - 210x = -255 - 57

Subtract the values on LHS and RHS.

⇛(-78x) = (-312)

Shift the number (-78) from LHS to RHS.

⇛x = {(-312)/(-78)

Simplify the RHS fraction to get the final value of x.

⇛x = 4/1

Therefore, x = 4

Answer: Hence, the value of x for the given problem is 4.

EXPLORE MORE:

Verification:

Check whether the value of x for the given problem is true or false.

If x = 4 then LHS of the equation is

{(7x + 14)/3} - {(17 - 3x)/5}

= [{7(4) + 14}/3] - [{17 - 3(4)}/5]

= {(7*4 + 14)/3} - {(17 - 3*4)/5}

= {(28 + 14))3} - {(17 - 12)/5}

= (42/3) - (5/5)

= (42/3) - 1

= (42/3) - (1/1)

= {(42 - 1*3)/3

= {(42 - 3)/3}

= (39/3)

= 13/1

= 13

And RHS = 6x - {(4x + 2)/3} - 5

= 6(4) - [{4(4) + 2}/3] - 5

= 24 - {(16 + 2)/3} - 5

= 24 - (18/3) - 5

= 24 - (6/1) - 5

= (24/1) - (6/1) - (5/1)

= (24*1 - 6*1 - 5*1)/1

= (24 - 6 - 5)/1

= (24 -11)/1

= 13/1

= 13

On comparing with both the sides, we notice that LHS = RHS is true for x = 4

Hence, verified.

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Answer:

We need more info, take a picture of the qustion

Step-by-step explanation: