pls help meeeeeeeeeeeeeeeeee

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.

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:

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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Solve the equation: 5(3p - 5) + 4p = 5p - 6( p + 4)....

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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:

They are decimal points.

i think it should be answer B

I believe its also b after working it out for around 20 minutes i have to come to the conclusion that its B this can be APPROVED by the nation math's government department

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]

By simplifying given statement we got that if the quotient of [tex]8.4\times10^ 9[/tex] and a number n results in [tex]5. 6\times 10 ^{27}[/tex] then n is equal to [tex]1.5\times10^{-18}[/tex]

Result obtained after division is called quotient

Here given that "The quotient of 8. 4 times 10 Superscript 9 and a number n results in 5. 6 times 10 Superscript 27"

We can write it as

The quotient of [tex]8.4\times10^ 9[/tex] and a number n results in [tex]5. 6\times 10 ^{27}[/tex]

we can write it as

[tex]\frac{8.4\times10^ 9}{n} =5. 6\times 10 ^{27}[/tex]

Now we can simplify it as

[tex]n= \frac{8.4\times10^ 9}{5. 6\times 10 ^{27}} \\\\n= \frac{8.4}{5.6} \times\frac{10^9}{10^27} \\\\n= 1.5\times 10^{-18}[/tex]

By simplifying given statement we got that if the quotient of [tex]8.4\times10^ 9[/tex] and a number n results in [tex]5. 6\times 10 ^{27}[/tex] then n is equal to [tex]1.5\times10^{-18}[/tex]

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Answer:

I think is -8x-4 let me know if im right

Step-by-step explanation:

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]

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Answer:

The answer would be 1!

Step-by-step explanation:

I did the assignment.

edge 2022

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)

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]

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!

Answer:

divide the previous value by 5

Step-by-step explanation:

5^2=25, 5^1=5, 25/5=5

The answer is C :)

Have a nice day

Correct on edge.

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:

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Answer:

47,000,000 Mexican Peso equals 2,308,164.50 United States Dollar

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.

The probability that the claim of James is correct is 1%.

The standard deviation of a statistic's sample distribution, or an approximation of that standard deviation, is its standard error. The standard error of the mean is the term used when the statistic is the sample mean.

In order to know if the claim of James is correct or not, firstly we need to determine the standard error. The standard error is the ratio of the standard deviation and the square root of the sample. Therefore, the standard error can be written as,

[tex]\rm Standard\ Error, SE =\dfrac{\sigma}{\sqrt n} = \dfrac{0.4}{\sqrt5} =0.178[/tex]

Thus, the standard error is 0.178.

Further, The z-score is defined as the distance from the sample to the population mean in units of standard error. Therefore, the z-score can be written as,

[tex]z = \dfrac{X-\mu}{SE}=\dfrac{(3- 2.5)}{0.178} = 2.81[/tex]

Using the Z-table in order to know the probability of the claim of James is correct or not, therefore, at this z-score, the probability is 0.9974≈1.00%.

Hence, the probability that the claim of James is correct is 1%.

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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

Divide total pay by number of days.

938.94 / 6 = 156.49

They earned $156.49 per day

The total value of coins to create a silver mile following the specific rules stated is $38,114.18

63360 - 31650.48 = 31679.52 inches

A third of the distance is missing: 10559.84 inches

This means 10,559.84 inches/ 1.205 in = 8763.35 rounded to 8764

Total distance coverd 8,764 x 1.205 in = 10560.61

Total distance left: 31679.52 - 10560.61 = 21118,91 / 4 = 5279.72

This means 5279.72 / 0.750 =7039.62 rounded to 7040

7040 x 0.750 = 5280

Total distance left = 21118,91 -  5280 = 15,838.91 / 5 = 3167.782

This means 3167.82 / 0.705 = 4493.36 rounded to 4494

0.705 x 4494 = 3168.27

Total distance left = 15,838.91 - 3168.27 = 12670.64

This means 12670.64/ 0.835 = 15174.41 rounded to 15175

For this change the coins to dollars:

Susan B. Antony Silver dollars: 30462 = $30462

Half-dollars: 8764 = $4382

Quarters: 7040 = $1760

Dimes: 4494 = $561.75

Nickels: 15175 = $948.43

Total: $38114,18

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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.

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Answer:

Step-by-step explanation: