If (x^2 – 4) = (x + 2) = x - 2, which polynomial should fill in the blank below?​

Step-by-step explanation:

The equation is v-1 = -3

Here is the graph :

Answer:

a) The sample mean is M=200.

The sample standard deviation is s=13.19.

b) Right-tailed. The null and alternative hypothesis are:

[tex]H_0: \mu=195\\\\H_a:\mu> 195[/tex]

c) At a significance level of 0.01, there is  notenough evidence to support the claim that the arrival rate is significantly higher than 195.

Step-by-step explanation:

We start by calculating the sample and standard deviation.

The sample size is n=30.

The sample mean is M=200.

The sample standard deviation is s=13.19.

[tex]M=\dfrac{1}{n}\sum_{i=1}^n\,x_i\\\\\\M=\dfrac{1}{30}(210+215+200+. . .+221)\\\\\\M=\dfrac{6000}{30}\\\\\\M=200\\\\\\s=\sqrt{\dfrac{1}{n-1}\sum_{i=1}^n\,(x_i-M)^2}\\\\\\s=\sqrt{\dfrac{1}{29}((210-200)^2+(215-200)^2+(200-200)^2+. . . +(221-200)^2)}\\\\\\s=\sqrt{\dfrac{5048}{29}}\\\\\\s=\sqrt{174.07}=13.19\\\\\\[/tex]

This is a hypothesis test for the population mean.

The claim is that the arrival rate is significantly higher than 195.  As we are interested in only the higher tail for a significant effect, this is a right-tailed test.

Then, the null and alternative hypothesis are:

[tex]H_0: \mu=195\\\\H_a:\mu> 195[/tex]

The significance level is 0.01.

The standard deviation of the population is known and has a value of σ=13.

We can calculate the standard error as:

[tex]\sigma_M=\dfrac{\sigma}{\sqrt{n}}=\dfrac{13}{\sqrt{30}}=2.373[/tex]

Then, we can calculate the z-statistic as:

[tex]z=\dfrac{M-\mu}{\sigma_M}=\dfrac{200-195}{2.373}=\dfrac{5}{2.373}=2.107[/tex]

This test is a right-tailed test, so the P-value for this test is calculated as:

[tex]\text{P-value}=P(z>2.107)=0.018[/tex]

As the P-value (0.018) is bigger than the significance level (0.01), the effect is not significant.

The null hypothesis failed to be rejected.

At a significance level of 0.01, there is  notenough evidence to support the claim that the arrival rate is significantly higher than 195.

Answer:

$26,096

Step-by-step explanation:

property taxes = 31 January + 28 February + 31 March + 30 April + 31 May + 4 June = 155 days

property taxes = (155 days/365 days) x $5,309 = $2,254

agent's commission = 7% x $547,000 = $38,290

seller's net = $547,000 - $480,000 (mortgage) - $38,290 (agent's commission) - $360 (home warranty) - $2,254 (property taxes) = $26,096

Answer:

26,096

Step-by-step explanation:

Proration using 365-day method:

Buyer days are June - December 210 days (June 30 + July 31 + August 31 + September 30 + October 31 + November 30 + December 31 - June 4 days)

Seller days are January - June 155 days (January 31 + February 28 + March 31 + April 30 + May 31 + June 30 - June 26 days)

Formula with closing day to buyer: 210/365 x $5,309 = $3,054.49 --> $5,309 - $3,054.49 = $2,254.51 property taxes

Commission:

$547,000 sale price x .07 commission fee = $38,290 commission

Seller Net:

$547,000 sale price - $480,000 mortgage = $67,000 - $38,290 commission = $28,710 - $360.00 home warranty = $28,350 - $2,254.51 = $26,096

Answer:

i think this person answered but idrk perseusharrison79

Step-by-step explanation:

For 2 parallelograms, the corresponding side lengths are 1 inch and x inches, and 2 inches and 6 inches.

Not drawn to scale

StartFraction 1 over x EndFraction = StartFraction 2 over 6 EndFraction

StartFraction 1 over x EndFraction = StartFraction 6 over 2 EndFraction

StartFraction 1 over 6 EndFraction = StartFraction 2 over x EndFraction

One-half = StartFraction 6 over x EndFraction

Step-by-step explanation:

Answer:

2 hours and 24 minutes

Step-by-step explanation:

2 hours at 60 km/h means you have travelled 2*60=120 km

120 km at 50 km/h takes 120/50 = 2.4 hours

2.4 hours is 2 hours and 0.4*60 = 24 minutes.

Answer:

a) 2, 3, 5

Step-by-step explanation:

2, 3, 5

All numbers are prime.

7, 17, 63, 67

63 is not a prime number.

3, 11, 63, 67

63 is not a prime number.

1, 3, 11, 23

1 is not a prime number.

8x + 3 > 2x - 15

8x - 2x > -15 - 3

6x > -18

x > -3

Answer:

x > -3

Step-by-step explanation:

8x + 3 > 2x - 15​

Add -3 and -2x on both sides.

8x - 2x > -15 - 3

6x > -18

Divide 6 into both sides.

x > -18/6

x > -3

Answer:

Answer is (D) n

Step-by-step explanation:

Probability density function defines the likelihood of an outcome for a discrete random variable or a continuous random variable whose integral gives the probability that the value of the variable lies in the same interval.

The constant here is C

CX" implies CX prime prime (meaning that X has been differentiated twice).

The value of C is n, which is the number of values of X.

Answer:

yes

Step-by-step explanation:

it is

because difference between each two consecutive terms are equal

26-20=32-26=38-32

for the formula:

20 is the first term.

6 is the difference between each two consecutive terms

so:

[tex]y = 6(x - 1) + 20 \\ y = 6x + 14[/tex]

Hope you understand :)

Answer:

8)5.1*10⁶

9)6.98*10 to the power of -6

10) 3.000052*10⁰

11)0.006548

Answer: 144

Step-by-step explanation:

ABD plus DBC makes up ABC so when you add the two it will give you a whole (76+68).

Answer:

The margin of error  = 2.13

Step-by-step explanation:

Explanation:-

Given random sample size 'n' =19

mean of the sample(x⁻) = 55 applicants

Given standard deviation of the Population(S.D)  = 4

Given confidence intervals are

((52.87.57.14)

we know that The Margin of error is determined by

[tex]M.E = Z_{\alpha } \frac{S.D}{\sqrt{n} }[/tex]

The confidence intervals are determined by

(x⁻ - M.E , x⁻+ M.E)

Step(ii):-

Given confidence intervals are

((52.87.57.14)

Now equating

(x⁻ - M.E , x⁻+ M.E) = ((52.87  , 57.14)

Given mean of the sample x⁻ = 55

( 55 - M.E , 55 + M.E) =((52.87.57.14)

   Equating

                55 - M.E = 52.87

                M.E = 55 - 52.87

                M.E = 2.13

Final answer:-

The margin of error  = 2.13

Answer:

  [tex]\dfrac{2y^2 +12y -8}{y^3-3y+2}[/tex]

Step-by-step explanation:

It usually works to factor the denominators, so you can determine the least common denominator.

  [tex]\dfrac{2y}{y^2-2y+1}+\dfrac{8}{y^2+y-2}=\dfrac{2y}{(y-1)^2}+\dfrac{8}{(y-1)(y+2)}\\\\=\dfrac{2y(y+2)}{(y-1)^2(y+2)}+\dfrac{8(y-1)}{(y-1)^2(y+2)}=\dfrac{2y^2+4y+8y-8}{(y-1)^2(y+2)}\\\\=\boxed{\dfrac{2y^2 +12y -8}{y^3-3y+2}}[/tex]

Answer: 4 to 10 then it’s 6 to 20 then it’s 8 to 25   Then it’s 10 to 30 then it’s 12 to 35  I hope this is the answer

Step-by-step explanation:

Step-by-step explanation:

Ava is walking at a constant rate of 5 feet each 2s so :

We should keep adding 2s in the time and 5 feet in the distance

Let's complete the chart:

Answer:

d

Step-by-step explanation:

The segment inside the triangle bisects the angle and divides the opposite sides into segments that are proportional to the other two sides, that is

[tex]\frac{x}{17}[/tex] = [tex]\frac{37.5}{52.5-37.5}[/tex] = [tex]\frac{37.5}{15}[/tex] ( cross- multiply )

15x = 637.5 ( divide both sides by 15 )

x = 42.5 → d

Answer:

95 ft²

Step-by-step explanation:

Given:

regular pyramid with,

Square base of side length (s) = 5 ft

Slant height (l) = 7 ft

Required:

Surface area

Solution:

Surface area of a regular pyramid = ½*P*l + B

Where,

P = perimeter of the square base = 4(s) = 4(5) = 20 ft

l = slant height = 7 ft

B = area of base = s² = 5² = 25 ft²

Surface area = ½*20*7 + 25

= 10*7 + 25

= 70 + 25

Surface area of regular pyramid = 95 ft²

Answer:

It's (D) 8 cm and 9 cm. Hope this helps you!

Step-by-step explanation:

The other 2 sides added have to be greater than 13.

Answer:

8 and 9

Step-by-step explanation:

The triangle inequality states that the sum of the two shortest sides must be greater than the longest side.

Let's check the first one. 5 + 8 > 13 → 13 > 13 which is false.

6 + 7 > 13 → 13 > 13 which is false.

7 + 2 > 13 → 9 > 13 which is false.

8 + 9 > 13 → 17 > 13 which is true.

Answer:

We conclude that the true average percentage of organic matter in such soil is something other than 3% at 10% significance level.

We conclude that the true average percentage of organic matter in such soil is 3% at 5% significance level.

Step-by-step explanation:

We are given a random sample of soil specimens was obtained, and the amount of organic matter (%) in the soil was determined for each specimen;

1.10, 5.09, 0.97, 1.59, 4.60, 0.32, 0.55, 1.45, 0.14, 4.47, 1.20, 3.50, 5.02, 4.67, 5.22, 2.69, 3.98, 3.17, 3.03, 2.21, 0.69, 4.47, 3.31, 1.17, 0.76, 1.17, 1.57, 2.62, 1.66, 2.05.

Let [tex]\mu[/tex] = true average percentage of organic matter

So, Null Hypothesis, [tex]H_0[/tex] : [tex]\mu[/tex] = 3%      {means that the true average percentage of organic matter in such soil is 3%}

Alternate Hypothesis, [tex]H_A[/tex] : [tex]\mu \neq[/tex] 3%      {means that the true average percentage of organic matter in such soil is something other than 3%}

The test statistics that will be used here is One-sample t-test statistics because we don't know about the population standard deviation;

                         T.S.  =  [tex]\frac{\bar X-\mu}{\frac{s}{\sqrt{n} } }[/tex]  ~ [tex]t_n_-_1[/tex]

where, [tex]\bar X[/tex] = sample mean percentage of organic matter = 2.481%

             s = sample standard deviation = 1.616%

            n = sample of soil specimens = 30

So, the test statistics =  [tex]\frac{2.481-3}{\frac{1.616}{\sqrt{30} } }[/tex]  ~ [tex]t_2_9[/tex]

                                     =  -1.76

The value of t-test statistics is -1.76.

(a) Now, at 10% level of significance the t table gives a critical value of -1.699 and 1.699 at 29 degrees of freedom for the two-tailed test.

Since the value of our test statistics doesn't lie within the range of critical values of t, so we have sufficient evidence to reject our null hypothesis as it will fall in the rejection region.

Therefore, we conclude that the true average percentage of organic matter in such soil is something other than 3% at 10% significance level.

(b) Now, at 5% level of significance the t table gives a critical value of -2.045 and 2.045 at 29 degrees of freedom for the two-tailed test.

Since the value of our test statistics lies within the range of critical values of t, so we have insufficient evidence to reject our null hypothesis as it will not fall in the rejection region.

Therefore, we conclude that the true average percentage of organic matter in such soil is 3% at 5% significance level.

Answer:213.7

Step-by-step explanation:

1 - complementary =  90- 30 = 60

    suplementary = 180- 30 = 150

2 - area = hb/2 = 360 = hb/2 =  h = 72

3 - similar

4- see number 3

5 - asa, ssa, sas

6 - polygon that had all equal angle measures and sides (equiangular and equilateral)

7 - length x width = area so

   240 / 24 = 10

8 - line

9 - triangle

10 - 180, as see in question 1

vote me brainliest ):>

Answer:

4(3x-2)+6x(2x-1)

12x-8+12^2x-6x

12x-6x +12^2x-8

6x+12^2x-8

Answer:

the first step in simplifying 4(3x-2)+6x(2-1) is to do subtract 1 from 2 in the second set of parenthesis.  That will get you 4(3x-2)+6x(1)

The equation completely simplified is 18x-8

-look in the step-by-step explanation if you want to know all the steps to simplifyinh the equation

Step-by-step explanation:

Now if you want to know the rest here it is:

Then use the Distributive Property:

-distribute the 4 into (3x-2) to get 12x-8

-then distribut the 6x into (1) to get 6x

Your equation is now 12x-8+6x

Finally, add 12x and 6x to simplify the equation as much as you can

you get 18x-8 as you final, most simplified answer

Answer:

20 and 80

Step-by-step explanation:

x+y= 100

0.2x+0.3y= 0.28*100

x= 20 ⇒ y= 80

Answer:

The original digit is 62

Step-by-step explanation:

Let the Tens be represented with T

Let the Units be represented with U

Given:

Unknown Two digit number

Required:

Determine the number

Since, it's a two digit number, then the number can be represented as;

[tex]T * 10 + U[/tex]

From the first sentence, we have that;

[tex]T = 4 + U[/tex]

[tex]T = 4+U[/tex]

Interchanging the digit, we have the new digit to be [tex]U * 10 + T[/tex]

So;

[tex](U * 10 + T) + (T * 10+ U) = 88[/tex]

[tex]10U + T + 10T + U= 88[/tex]

Collect Like Terms

[tex]10U + U + T + 10T = 88[/tex]

[tex]11U + 11T = 88[/tex]

Divide through by 11

[tex]U + T = 8[/tex]

Recall that [tex]T = 4+U[/tex]

[tex]U + T = 8[/tex] becomes

[tex]U + 4 + U = 8[/tex]

Collect like terms

[tex]U + U = 8 - 4[/tex]

[tex]2U = 4[/tex]

Divide both sides by 2

[tex]U = 2[/tex]

Substitute 2 for U in [tex]T = 4+U[/tex]

[tex]T = 4 + 2[/tex]

[tex]T = 6[/tex]

Recall that the original digit is [tex]T * 10 + U[/tex]

Substitute 6 for T and 2 for U

[tex]T * 10 + U[/tex]

[tex]6 * 10 + 2[/tex]

[tex]60 + 2[/tex]

[tex]62[/tex]

Hence, the original digit is 62

Answer:

The probability that at least one of the 5 donors has Group O blood type is 0.9497.

Step-by-step explanation:

We can model this as a binomial random variable, with n=5 (the sample size) and p=0.45.

The probability that exactly k donors have Group O blood type in the sample can be written as:

[tex]P(x=k) = \dbinom{n}{k} p^{k}(1-p)^{n-k}\\\\\\P(x=k) = \dbinom{5}{k} 0.45^{k} 0.55^{5-k}\\\\\\[/tex]

We have to calculate the probability P(x≥1). In this case it easy to substract from 1 the probabitity that x is exactly 0:

[tex]P(X\geq1)=1-P(x=0)\\\\\\P(x=0) = \dbinom{5}{0} p^{0}(1-p)^{5}=0.55^5=0.0503\\\\\\P(x\geq1)=1-0.0503=0.9497[/tex]

Answer:

5.33

Step-by-step explanation:

Move your numbers so that they're separate from the variables. You should now have x = -2.67 + 8; x = 5.33

Answer:

x=5.33

Step-by-step explanation:

7+x-15=-2.67

7-15+x=-2.67

Add 7 and -15

-8+x=-2.67

Add 8 on both sides

which equal to 5.33

x=5.33

Answer:

(C) 4,5,8

Step-by-step explanation:

Since 4+5 = 9 and 9 is bigger than 8, that means that the side 8 can fit into the triangle without there being an open space.

Answer:

Option C { 4,5,8 }

Step-by-step explanation:

By the Triangle Inequality Theorem, the length of two sides together must be greater than the length of the remaining side. Respectively their difference must be less than the length of the another side.

* I like to memorize this concept by thinking about a door. The more you open the door, the greater the distance between the door and the wall - as they are proportional. That is how we concluded this theorem.

______

{ 2, 2, 4 } is our first option. The difference of 4 and 2 is equal to the remaining length, 2. { 3, 4, 7 } is not applicable as well, considering that the addition of 3 and 4 is equivalent to the length of the 3rd side, 7. However, the lengths { 4, 5,8 } have no such " errors. " It could be the side lengths of a possible triangle.

______

Solution = { 4,5,8 }

Answer:

answer C

Step-by-step explanation:

hello

set A is [tex]10^x[/tex]

set B is 1000+50(x-1)

so set A is an exponential function and the values increase at a faster rate than set B

hope this helps

Answer:

B. [tex]4^2[/tex]

Step-by-step explanation:

[tex]4^7 \times 4^{-5}[/tex]

Apply rule (if bases are same) : [tex]a^b \times a^c = a^{b + c}[/tex]

[tex]4^{7 + -5}[/tex]

Add exponents.

[tex]=4^2[/tex]

Answer:

Step by step explanation

[tex] {4}^{7} \times {4}^{ - 5} [/tex]

Use product law of indices

i.e

[tex] {x}^{m} \times {x}^{n} = {x}^{m + n} [/tex]

( powers are added in multiplication of same base)

[tex] = {4}^{7 + ( - 5)} [/tex]

[tex] = {4}^{7 - 5} [/tex]

[tex] = {4}^{2} [/tex]

Hope this helps...

Best regards!