Help me ASAP please

Complete Question

Each of the following hypothetical data set represents some repeated weighing of a standard weight that is known to have a mass of 100 g. Assume that the readings are a random sample from a population that follows the normal curve. We perform a t-test to see whether the scale is properly calibrated. Find the corresponding P-value for this test..

The data in grams  are

     100.02 , 99.98 , 100.03

Answer:

The p-value is  [tex]p-value =0.5798[/tex]

Step-by-step explanation:

    Generally the sample mean of the given data is mathematically represented as

        [tex]\= x = \frac{100.02 + 99.98 + 100.03 }{3}[/tex]

        [tex]\= x =100.03 \ g[/tex]

Generally the standard deviation is mathematically represented as  

        [tex]s = \sqrt{\frac{\sum [x_i - \= x]^2 }{n-1} }[/tex]

=>     [tex]s = \sqrt{\frac{[ 100.02 - 100.01]^2+ [ 99.98 - 100.01]^2+[ 100.03 - 100.01]^2 }{3-1} }[/tex]

=>     [tex]s = 0.02645[/tex]

The null hypothesis is  [tex]H_o : \mu = 100[/tex]

The alternative hypothesis is  [tex]H_a : \mu \ne 100[/tex]

Generally the degree of freedom is mathematically represented as

            [tex]df = n - 1[/tex]

=>         [tex]df = 3 - 1[/tex]

=>         [tex]df = 2[/tex]

Generally the test statistics is mathematically represented as    

          [tex]t = \frac{\= x - \mu }{\frac{s}{\sqrt{n} } }[/tex]

=>      [tex]t = \frac{ 100.01 - 100 }{\frac{0.02645}{\sqrt{3} } }[/tex]  

=>      [tex]t = 0.655[/tex]

From the t distribution table the probability corresponding to the t  to the right of the bell curve  at a degree of freedom of  [tex]df = 2[/tex]

         [tex]P( T > 0.655 ) = 0.2899[/tex]

Generally the p-value for this two tailed test is mathematically represented as

          [tex]p-value = 2 * P(T > 0.655)[/tex]

=>       [tex]p-value = 2 * 0.2899[/tex]

=>       [tex]p-value =0.5798[/tex]

Answer: y=−5/4x−5

Step-by-step explanation:

Answer:

9

Step-by-step explanation:

9x8=72 72+18=90

Answer:

Step-by-step explanation:

Distribute each one like a robot

Or factor it like a human.

5(x+2y - 3)

Answer:

[tex]5(x + 2y - 3)[/tex]

Step-by-step explanation:

[tex]the \: answer \: while \\ \: expanding \: will \: get \: like \: this \\ \\ 5(x + 2y - 3) \\ = (5 \times x) +( 5 \times 2y )+ (5 \times - 3) \\ = 5x + 10y - 15 \\ \\ hope \: it \: helps \\ plzzz \: mark \: it \: as \: brainliest...[/tex]

Answer:

x= 12

Step-by-step explanation:

16=24

2x-6= 18

2x= 18+6= 24

2x= 24

x= 24/2= 12

hope it helps!

Answer:

x=12

Step-by-step explanation:

Line AC and line PR are congruent.

2x-6=18

2x=24

x=12

Answer:

(6,-6)

Step-by-step explanation:

1. -10x-15y=30

-10x-15y+15y=30+15y

-10x/-10=30+15y/-10

x=-3 -3/2

plug in the other equation and solve for y

-9x-5y=-24

-9(-3-3/2)-5y=-24

y=-6

plug -6 in for y in one of the original equations

-9x-5y=-24

-9x-5(-6)=-24

solve for x

x=6

wonderful

Answer:

Perpendicular

Step-by-step explanation:

Here, the slopes of the lines are 1 & -1

( they are same with opposite symbols) so, the lines are perpendicular

Answer:

y2=-8x is what's graphed so B.

Step-by-step explanation:

(I think you mistyped the choice)

Answer:

Which equation represents the parabola?  

a) y2 = –2x

b) x2 = –2y

c) y2 = –8x

d) x2 = –8y

Step-by-step explanation:

C for edge 2021

Answer:

Write the following phrase as an algebraic expression. Use n for a number." three increased by the quotient of a number and two a. 3 + 2 b. 3 + C! 312+ 2) d. 3 + 212

Step-by-step explanation:

Write the following phrase as an algebraic expression. Use n for a number." three increased by the quotient of a number and two a. 3 + 2 b. 3 + C! 312+ 2) d. 3 + 212

Answer:

The answer is b. 3 +  n / 2

Step-by-step explanation:

Answer:

2/15

Step-by-step explanation:

Answer:

The first piece is 19 inches, the second is 52, and the third piece is 57.

Step-by-step explanation:

Solve for x using (x) + (x + 33) + (3x) = 128.

Answer:

A. 5

Step-by-step explanation:

-6 + 5 = -1

-1 + 5 = 4

4 + 5 = 9

9 + 5 = 14

Answer:

well for me I think it's

Step-by-step explanation:

7.04×10^-2

Answer:

Option (1)

Step-by-step explanation:

Option (1)

[tex]3\frac{3}{9}+7\frac{6}{11}=10\frac{87}{99}[/tex]

[tex]3\frac{3}{9}+7\frac{6}{11}[/tex] [tex]=3+\frac{3}{9}+7+\frac{6}{11}[/tex]

             [tex]=(3+7)+(\frac{3}{9}+\frac{6}{11})[/tex]

             [tex]=10+(\frac{3}{9}\times \frac{11}{11})+(\frac{6}{11}\times \frac{9}{9})[/tex]

             [tex]=10+(\frac{33}{99}+\frac{54}{99})[/tex]

             [tex]=10+\frac{87}{99}[/tex]

             [tex]=10\frac{87}{99}[/tex]

True.

Option (2)

[tex]2\frac{3}{8}+6\frac{4}{5}=8\frac{12}{40}[/tex]

[tex]2\frac{3}{8}+6\frac{4}{5}=2+\frac{3}{8}+6+\frac{4}{5}[/tex]

             [tex]=(2+6)+(\frac{3}{8}+\frac{4}{5})[/tex]

             [tex]=(8)+(\frac{3}{8}\times \frac{5}{5} +\frac{4}{5}\times \frac{8}{8})[/tex]

             [tex]=8+(\frac{15}{40}+\frac{32}{40})[/tex]

             [tex]=8+\frac{47}{40}[/tex]

             [tex]=8+\frac{40}{40}+\frac{7}{40}[/tex]

             [tex]=8+1+\frac{7}{40}[/tex]

             [tex]=9+\frac{7}{40}[/tex]

             [tex]=9\frac{7}{40}[/tex]

False.

Option(3)

[tex]3\frac{3}{7}+4\frac{2}{3}=7\frac{2}{21}[/tex]

[tex]3\frac{3}{7}+4\frac{2}{3}=(3+\frac{3}{7})+(4+\frac{2}{3})[/tex]

             [tex]=(3+4)+(\frac{3}{7}+\frac{2}{3})[/tex]

             [tex]=7+(\frac{3}{7}\times \frac{3}{3} +\frac{2}{3}\times \frac{7}{7})[/tex]

             [tex]=7+(\frac{9}{21}+\frac{14}{21})[/tex]

             [tex]=7+(\frac{23}{21})[/tex]

             [tex]=7+(\frac{21}{21}+\frac{2}{21})[/tex]

             [tex]=8+\frac{1}{21}[/tex]

             [tex]=8\frac{1}{21}[/tex]

False.

Option (4)

[tex]4\frac{5}{6}+5\frac{5}{7}=9\frac{10}{13}[/tex]

[tex]4\frac{5}{6}+5\frac{5}{7}=4+\frac{5}{6}+5+\frac{5}{7}[/tex]

             [tex]=(4+5)+(\frac{5}{6}+\frac{5}{7})[/tex]

             [tex]=9+(\frac{5}{6}\times \frac{7}{7}+\frac{5}{7}\times \frac{6}{6})[/tex]

             [tex]=9+(\frac{35}{42}+\frac{30}{42})[/tex]

             [tex]=9+\frac{65}{42}[/tex]

             [tex]=9+(\frac{42}{42}+\frac{23}{42})[/tex]

             [tex]=9+1+\frac{23}{42}[/tex]

             [tex]=10\frac{23}{42}[/tex]

False.

Therefore, Option (1) is the answer.

Answer:

they are the same

Step-by-step explanation:

They are the same

[tex]\frac{3}{8}\\\\=\frac{3}{8}\times\frac{2}{2}\\\\=\frac{3*2}{8*2}\\\\=\frac{6}{16}[/tex]

Answer:

(2, -6)

Step-by-step explanation:

First you want to set both equations equal to each other so you can find one of the variables.

y = x^2 + 3x -4

for second equation lets rearrange so we start with y=

x=y-4

add 4 to both sides

4+x = y or y= x+4

since both equations equal y, lets set them equal to each other

x+4 = x^2 + 3x -4

set it equal to 0 by subtracting x and 4 from both sides

x^2 + 2x -8 = 0

factor

(x+4) (x-2) = 0

so x has to be either -4 or 2. We can shortcut and say only B makes sense since x=2.

to double check, plug in x=2 in both equations

y= 2^2 + 3(2) -4 = 4+6 -4 = 6

2 = y -4; y=6

so B is correct.

please give thanks by clicking the heart button, i spent a while :)

Answer:

cross multification is correct answer

Answer:

the probability that more than 9 but fewer than 14 disapprove of smoking pot daily is 0.608

Step-by-step explanation:

From the information given:

Let N represent the total number of senior students

N = 17000

and k to be the number of seniors disapproving of daily pot smoking

k = 17000 × 0.70

k = 11900

sample size n = 18

Suppose X represents the random variable...

Then,

X = 0,1,2,...,18

Thus X follows a hypergeometric distribution with parameters

(N = 17000, n = 18 & k = 11900)

Thus, the  probability mass function is:

[tex]P(X =x) = \dfrac{(^k_n) (^{N-k}_{n-x} ) }{(^N_n) }; \ max \{0,(N-K) \} \le x \le min \{n,k\}[/tex]

[tex]P(X =x) = \dfrac{(^{11900}_n) (^{17000-11900}_{18-x} ) }{(^{17000}_{18}) }[/tex]

[tex]P(X =x) = \dfrac{(^{11900}_n) (^{51000}_{18-x} ) }{(^{17000}_{18}) }; \ 0\le x \le 18[/tex]

Now, the required probability is computed as:

[tex]P(9<X<14) = P(10 \le X \le13)[/tex]

[tex]P(9<X<14) = P(X =10) +P(X =11) +P(X=12) +P(X =13)[/tex]

[tex]P(9<X<14) = \left\{\begin{array}{c} \dfrac{(^{11900}_{10}) (^{5100}_{18-10}) }{(^{17000}_{18})} + \dfrac{(^{11900}_{11}) (^{5100}_{18-11}) }{(^{17000}_{18})}+ \dfrac{(^{11900}_{12}) (^{5100}_{18-12}) }{(^{17000}_{18})} + \dfrac{(^{11900}_{13}) (^{5100}_{18-13}) }{(^{17000}_{18})}\end{array}\right\}[/tex]P(9<X<14) = 0.0811 + 0.1377 + 0.1874 + 0.2018

P(9<X<14) = 0.608

Thus, the probability that more than 9 but fewer than 14 disapprove of smoking pot daily is 0.608

Answer:

I think 0.4 would be the answer

Answer:

0.12 go to places to the left

Answer:

same

Step-by-step explanation:

bro

The area of the given football pitch is required.

The area of the football pitch is [tex]7700\ \text{m}^2[/tex]

l = Length of pitch = 110 m

P = Perimeter of pitch = 360 m

w = Width of pitch

Football pitches are rectangular.

Perimeter of the pitch is given by

[tex]P=2(l+w)\\\Rightarrow w=\dfrac{P}{2}-l\\\Rightarrow w=\dfrac{360}{2}-110\\\Rightarrow w=70\ \text{m}[/tex]

Area is given by

[tex]A=lw\\\Rightarrow A=110\times 70\\\Rightarrow A=7700\ \text{m}^2[/tex]

Learn more about area and perimeter:

https://brainly.com/question/19819849

Answer:

225%

Step-by-step explanation:

1. Divide the new weight by the original weight.

90/40 = 2.25.

2. Multiply by 100 to get the percentage.

2.25 x 100 = 225%

The percentage increase of the child from 1990 to 2005 is 125%.

A percentage is a value per hundredth. Percentages can be converted into decimals and fractions by dividing the percentage value by a hundred.

Given, The weight of a child in 1990 was 40 lb. By 2005, the child's weight

had increased to 90 lb.

So, The amount of weight increase is (90 - 40)lb = 50lb.

∴ The percentage increase is,

= (50/40)×100%.

= 125%.

learn more about percentage change here :

https://brainly.com/question/14801224

#SPJ2

Answer:

D

Step-by-step explanation:

A. when using elimination all number cancel out making it infinite solutions

B. has the same slope meaning the lines are parallel and will never intersect

C. when you isolate the y on 1 side for the 1st equation the equations are the same meaning infinite solutions

so d is the only one left

Hope this helps or makes sense.

Answer:

I think it's 149cm

Step-by-step explanation:

I just doubled the numbers and multiplied them

Answer:

x = 3b/2 + 3y/2

Step-by-step explanation:

Goal: Find x

To do that we must isolate x on one side of the equation.

2/3x - y = b

2/3x - y + y = b + y

2/3x = b + y

2/3x ÷ 2/3 = b + y ÷ 2/3

(When we divide fractions we multiply by its reciprocol.)

x = 3b/2 + 3y/2

I hope this helped and if it did I would appreciate it if you marked me Brainliest. Thank you and have a nice day!

Answer:

C because two them answer is same!!

Step-by-step explanation:

-5+14=9

5-14=9

Answer:

Not a because it is -9.

Not b, that is 8,

not c that is 9

not d that is 19

None are correct?

Step-by-step explanation:

Answer:

rectangle

Step-by-step explanation: