Write the next three terms of the arithmetic sequence.
First term: 2
Common difference: 13
The next three terms, in order, are, and

Step-by-step explanation:

Charlie bought 2 drinks and 1 box of candy

=> 2($3) + 1($x)

=> $(6 + x).

Answer:

The 95% confidence interval is  [tex] 101.13  <  \mu < 104.87  [/tex]

The 99% confidence interval is  [tex] 100.54  <  \mu < 105.46   [/tex]

Step-by-step explanation:

From the question we are told that

   The  sample size is  n = 110

    The sample mean is  [tex]\= x = 103 \ mg[/tex]

     The population standard deviation is  [tex]\sigma = 10 \ mg[/tex]

From the question we are told the confidence level is  95% , hence the level of significance is    

      [tex]\alpha = (100 - 95 ) \%[/tex]

=>   [tex]\alpha = 0.05[/tex]

Generally from the normal distribution table the critical value  of  [tex]\frac{\alpha }{2}[/tex] is  

   [tex]Z_{\frac{\alpha }{2} } =  1.96[/tex]

Generally the margin of error is mathematically represented as  

      [tex]E = Z_{\frac{\alpha }{2} } *  \frac{\sigma }{\sqrt{n} }[/tex]

=>    [tex]E = 1.96 *  \frac{ 10 }{\sqrt{110} }[/tex]

=>    [tex]E =1.8688 [/tex]    

Generally 95% confidence interval is mathematically represented as  

      [tex]\= x -E <  \mu <  \=x  +E[/tex]

=>  [tex]103 - 1.8688 <  \mu < 103 + 1.8688 [/tex]

=>   [tex] 101.13  <  \mu < 104.87  [/tex]

Considering question b

From the question we are told the confidence level is  99% , hence the level of significance is    

      [tex]\alpha = (100 - 99 ) \%[/tex]

=>   [tex]\alpha = 0.01[/tex]

Generally from the normal distribution table the critical value  of  [tex]\frac{\alpha }{2}[/tex] is  

   [tex]Z_{\frac{\alpha }{2} } =  2.58[/tex]

Generally the margin of error is mathematically represented as  

      [tex]E = Z_{\frac{\alpha }{2} } *  \frac{\sigma }{\sqrt{n} }[/tex]

=>    [tex]E = 2.58 *  \frac{ 10 }{\sqrt{110} }[/tex]

=>    [tex]E =2.4599  [/tex]    

Generally 99% confidence interval is mathematically represented as  

      [tex]\= x -E <  \mu <  \=x  +E[/tex]

=>  [tex]103 - 2.4599 <  \mu <103 + 2.4599  [/tex]

=>   [tex] 100.54  <  \mu < 105.46   [/tex]

Answer:

We accept H₀ for a CI = 95 % we din´t find differences in the unemployment level

Step-by-step explanation:

p₀  = 12 %     p₀  = 0,12

From sample  p = 53/500     p = 0,106

Test Hypothesis

Null Hypothesis                                      H₀                       p = p₀

Alternative Hypothesis                         Hₐ                       p < p₀

p₀*n  = 0,12*500 = 60

q₀ * n = 0,88 * 500 = 440

Then the binomial distribution can be approximate to a normal distribution

The significance level  α = 0,05     CI = 95 %

We need to develop a one-tail test (to the left ) find p-value and compare it with α.

p(s) = ( p - p₀ ) / √ p*q /n

p(s) = 0,106 - 0,12 / √(0,12)*(0,88)/500

p(s) = - 0,014 / 0,015

p(s) = - 0,93

With this P score we find the area under the bell shape curve

p-value = 0,1762 and compare that area with α = 0,05

Then p-value > 0,05

Therefore we accept H₀

Step-by-step explanation:

i think c is your answer

Answer:

4

Step-by-step explanation:

Step-by-step explanation:

you should have to give more points for this answer

Answer:

Border should be 1 ft wide

Step-by-step explanation:

The pool is 10 feet long and 6 feet wide.

Now, since the landscape contractor wants to make an exposed gravel border of uniform width. Let the uniform width of the border be x. Thus it means the length is now (10 + 2x) and width is now (6 + 2x).

We are told there is enough material to cover 36 square feet.. Thus;

New area - old area = 36

[(10 + 2x) × (6 + 2x)] - (10 × 60) = 36

4x² + 32x + 60 - 60 = 36

4x² + 32x = 36

Subtract 36 from both sides to get;

4x² + 32x - 36 = 0

Using quadratic formula, we have;

x = -9 or 1

We will pick the positive value as the width can't be negative.

Thus;

x = 1 ft

Answer:

j

Step-by-step explanation:

We can subtract 3 in the x-coordinate and 7 in the y-coordinate for both points.

(3-3,7-7) = (0,0)

(-5-3,-3-7) = <-8,-10>

Hope this helps!

Answer:

Correct

Step-by-step explanation:

Answer:

(994.37, 1185.62)

Step-by-step explanation:

Given that :

Mean (m) = 1090

Standard deviation (s) = 260

Samole size (n) = 40

α = 98%

Using the relation :

Confidence interval = mean ± Error

Error = Zcritical * (standard deviation / sqrt (n))

Zcritical at 98% = 2.326

Error = 2.326 * (260 / sqrt(40))

Error = 95.620951

Hence,

Confidence interval :

Lower boundary = 1090 - 95.620951 = 994.379049

Upper boundary = 1090 + 95.620951 = 1185.620951

(994.37, 1185.62)

Answer:

AE = 12 units

Step-by-step explanation:

ce is the same unit as AE

Answer:

C: 12 units

Step-by-step explanation:

Ok so

96 inches is the answer u calculate

Answer:

96 inches

Step-by-step explanation:

Brainliest me pls

Have a nice day! <3

Answer:

¼

Step-by-step explanation:

25%

= 25÷100

= ¼ (°.° 25×4 = 100)

Answer:

The volume of the region V = 2

Step-by-step explanation:

Given that:

[tex]z_1 = 3y^2[/tex] ;

where initially;

[tex]z_o = 0; \ x_o = 0; \ x_1 = 1; \ y_o= -1; \ y_1 = 1[/tex]

The volume of the region is given by a triple which is expressed as:

[tex]V = \int_x \int_y \int_z \ dz \ dy \ dx[/tex]

[tex]V = \int \limits ^{x_1 = 1}_{x_o=0} \int \limits ^{y_1 = 1}_{y_o=-1} \int \limits ^{z_1 = 3y^2}_{z_o=0} \ dz \ dy \ dx[/tex]

[tex]V = \int \limits ^{1}_{0} \int \limits ^{ 1}_{-1} \int \limits ^{3y^2}_{0} \ dz \ dy \ dx[/tex]

[tex]V = \int \limits ^{1}_{0} \int \limits ^{ 1}_{-1} \Bigg [z \Bigg]^{3y^2}_{0} \ dy \ dx[/tex]

[tex]V = \int \limits ^{1}_{0} \int \limits ^{ 1}_{-1} \Bigg [3y^2 \Bigg] \ dy \ dx[/tex]

[tex]V = \int \limits ^{1}_{0} \Bigg [\dfrac{3y^3}{3} \Bigg]^1_{-1} \ dx[/tex]

[tex]V = \int \limits ^{1}_{0} \Bigg [\dfrac{3(1)^3}{3}- \dfrac{3(-1)^3}{3} \Bigg] \ dx[/tex]

[tex]V = \int \limits ^{1}_{0} \Bigg [1-(-1)\Bigg] \ dx[/tex]

[tex]V =2 \Bigg [x \Bigg] ^1_0[/tex]

V = 2

Thus, the volume of the region is 2

Answer:

Please check the explanation.

Step-by-step explanation:

Given the equation

[tex]y = x-2[/tex]

comparing with the slope-intercept form of the line equation

[tex]y = mx+b[/tex]

where m is the slope and b is the y-intercept

so

Let us plug in some values

at x = 0, y = x-2 ⇒ y = 0-2  ⇒ y = -2

at x = 1, y = x-2 ⇒ y = 1-2  ⇒ y = -1

at x = 2, y = x-2 ⇒ y = 2-2  ⇒ y = 0

at x = 3, y = x-2 ⇒ y = 3-2  ⇒ y = 1

at x = 4, y = 4-2 ⇒ y = 4-2  ⇒ y = 2

Thus, the table of the equation y = x-2 becomes

x                  y

0                 -2

1                   -1

2                  0

3                   1

4                   2

Please check the attached graph.

Answer: (15,180) y=0x+180 y=10x+30

Step-by-step explanation:

Answer:

first one: (15, 180)

second one: y = 0x + 180

third one: y = 10x + 30

Step-by-step explanation:

Answer:

B. 32

Step-by-step explanation:

instead of X in the equation put 3, you will get the answer as 32.

hope it helps!

Answer:

B. 32

Step-by-step explanation:

[tex]f(x) = \frac{1}{2} \bigg( {4} \bigg)^{x} \\ \\ plug \: x = 3 \\ \\ f(3) = \frac{1}{2} \bigg( {4} \bigg)^{3} \\ \\ f(3) = \frac{1}{2} \times 64 \\ \\ f(3) = 32[/tex]

Answer:

The answer is B got it right :)

Step-by-step explanation:

Answer:

srt is 33

srq is 66

trq is 33

Answer:

∠SRT = 33°

Step-by-step explanation:

To track what angle they're talking about, connect the letters listed for each angle like connect the dots.

∠QRT is 33°

RT bisects ∠SRQ, meaning it's in the middle of it.

So half of ∠SRQ is 33°, meaning the full angle is double that: 66°

That also means that the other half of the angle is equal to the first half. ∠SRT=33°

Answer:

16380 mL or 16.380 L

Step-by-step explanation:

1 hot tub requires 105 mL of Acid

156 hot tubs requires 105 * 156 mL of acid = 16380 mL of acid are needed.

16380 / 1000 mL/L = 16.380 Liters.

Answer:

So i feel like the answers is .79

Step-by-step explanation:

asking for the ones that visited 21 or more so thats .45+.19+.15=.79

Answer:

.55

Step-by-step explanation:

Answer

a · b= the square root of b(5i + 4j - k) divided by b

Answer:

3

Step-by-step explanation:

Answer:

3 packages of basil.

Step-by-step explanation:

I divided 54/18 and got 3.

I used this number to calculate how much each package of basil costs, $3.00.

And 3 + 3 + 3 =9. So 3 packages of basil is hopefully the answer.

Answer:

25$

Step-by-step explanation:

If 4 stickers cost 2$, then each sticker would cost .50$

50(.5)=25

You would have spent 25$

Answer:

$25

Step-by-step explanation:

For every 2 sticks it's $1, so you divide 50 by 2 and get 25, so it's $25..... I think

I hope this helps!!!

Answer:

a

Step-by-step explanation:

because I said it was jejwjwjeiejehxueh ed uejrhcu

Answer:

580

Step-by-step explanation:

If 100 centimeters are in a meter, then we have to multiply 5.8 by 100 to find out the length of the string in centimeters.

(hope this helped)

Answer:

A) The best option would be a fixed weekly salary of $ 450.

B) The difference between the two options is $ 106.64.

Step-by-step explanation:

A) To determine which option would result in a better salary, knowing that on the one hand you can have a fixed salary of $ 450 per week without commission, while on the other you can have a salary of $ 115 per week plus a commission of 9.5% on the total sales of Each associate, knowing that the average annual sales of each associate in the last year was $ 125,000 and that each year has 52 weeks, the following calculation must be made:

125,000 / 52 = Average sales per week

2,403.84 = Average sales per week

2,403.84 x 0.095 = Weekly commission

228.36 = Weekly commission

228.36 + 115 = Weekly salary

343.36 = Weekly salary

Therefore, the best option would be a fixed weekly salary of $ 450.

B) The difference between both options arises from the subtraction between each amount received by the worker, that is:

450 - 343.36 = X

106.64 = X

Therefore, the difference between the two options is $ 106.64.

Answer:

Its C

Step-by-step explanation: