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The lengths of nails produced by a machine are known to be distributed normally
with mean u mm and standard deviation 0.7 mm. The lengths, in mm, of a
random sample of 5 nails are 107.29, 106.56, 105.94, 106.99, 106.47.
Calculate the 80% confidence interval for u.

Answer:

5

Step-by-step explanation:

∆FGH is similar to ∆JKH. Therefore, their corresponding lengths are proportional to one another. Thus:

[tex] \frac{GH}{KH} = \frac{FH}{JH} [/tex]

GH = x + 15

KH = x

FH = 12 + 4 = 16

JH = 4

Plug in the values

[tex] \frac{x + 15}{x} = \frac{16}{4} [/tex]

Cross multiply

[tex] (x + 15) \times 4 = 16 \times x [/tex]

[tex] 4x + 60 = 16x [/tex]

Subtract 4x from each side

[tex] 60 = 16x - 4x [/tex]

[tex] 60 = 12x [/tex]

Divide both sides by 12

x = 5

KH = x = 5

Answer:< IJL= 63°

Step-by-step explanation:

as AB||CD, EF||GH, KLJI is a paralellogram, & the opposite angles of paralellogram are equal. So,< IJL= <IKL=63°

Answer:

can please give clear clarification on English

Answer:

what are the rods? Are they the same ones as used in the diagram

Step-by-step explanation:

Answer:

The value is  [tex]n =2401  [/tex]

Step-by-step explanation:

From the question we are told that  

 The  margin of error is  E = 2%= 0.02

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]

Here we are going to assume that the sample proportion is  [tex]\^ p = 0.50[/tex]

  Generally the sample size is mathematically represented as  

    [tex]n = [\frac{Z_{\frac{\alpha }{2} }}{E} ]^2 * \^ p (1 - \^ p ) [/tex]

=>   [tex]n =[\frac{ 1.96 }{ 0.02} ]^2 * 0.5 (1 -0.5  ) [/tex]

=>    [tex]n =2401  [/tex]

Answer:

P(X is less than 348) = 0.2148

Step-by-step explanation:

Given that:

Sample proportion (p) = 0.3

Sample size = 1200

Let X be the random variable that obeys a binomial distribution. Then;

[tex]X \sim Bin(n = 1200,p =0.3)[/tex]

The Binomial can be approximated to normal with:

[tex]\mu = np = 1200 \times 0.3 \\ \\ \mu= 360[/tex]

[tex]\sigma = \sqrt{np(1-p) } \\ \\ \sigma = \sqrt{1200 \times (0.3)(1-0.3) } \\ \\ \sigma = 15.875[/tex]

To find:

P(X< 348)

So far we are approximating a discrete Binomial distribution using the continuous normal distribution. 348 lies between 347.5 and 348.5

Normal distribution:

x = 347.5, [tex]\mu[/tex] = 360, [tex]\sigma[/tex] = 15.875

Using the z test statistics;

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

[tex]z = \dfrac{347.5 - 360}{15.875}[/tex]

[tex]z = \dfrac{-12.50}{15.875}[/tex]

z = -0.7874

z ≅ - 0.79

The p-value for P(X<347.5) = P(Z < -0.79)

From the z tables;

P(X<347.5) = 0.2148

Thus;

P(X is less than 348) = 0.2148

Answer:

False, becasue 8*1/2 is 4 and 4 doesn't equal 16

Step-by-step explanation:

Answer:

you now if you wont to find the value you can type distance calculator and see the points

Step-by-step explanation:

Answer:

8

Step-by-step explanation:

4*8=32

7*8=56

8*8=64

Answer:

we get [tex]x^2=12-6\sqrt{3}[/tex]

Step-by-step explanation:

We are given: [tex]x=3-\sqrt{3}[/tex]

We need to find [tex]x^2[/tex]

Note: Since question is not clear, I am assuming that we need to find [tex]x^2[/tex]

Solving:

[tex]x=3-\sqrt{3} \\Taking \ square \ on \ both \ sides\\x^2=(3-\sqrt{3})^2\\[/tex]

We know that [tex](a-b)^2= a^2-2ab+b^2[/tex]

Using formula and simplifying

[tex]x^2=(3)^2-2(3)(\sqrt{3})+(\sqrt{3})^2\\x^2=9-6\sqrt{3} +3\\x^2=12-6\sqrt{3} \\[/tex]

So, we get [tex]x^2=12-6\sqrt{3}[/tex]

Answer:

The linear equation will be:

b = 4a

Here,

b = numbers of cakes David bakes

a = the time taken by David to bake cakes

Step-by-step explanation:

Let 'b' represents the numbers of cakes David bakes in minutes.

Let 'a' represents the time David takes to make 12 cakes

As Dave bakes 12 cakes in 3 minutes.

unit rate = 12/3 = 4 cakes / per minute

Thus, the linear equation will be:

b = 4a

Here,

b = numbers of cakes David bakes

a = the time taken by David to bake cakes

VERIFICATION

if a = 3 minuts

then

b = 4(3) = 12 cakes

and

if a = 2 minutes

then

b = 4(2) = 8 cakes

and

if a = 1 minute

then

b = 4(1) = 4 cakes

Thus, the required equation is:

b = 4a

Here,

b = numbers of cakes David bakes

a = the time taken by David to bake cakes

Complete question is;

In a study investigating a link between walking and improved​ health, researchers reported that adults walked an average of 873 minutes in the past month for the purpose of health or recreation.

Specify the null and alternative hypotheses for testing whether the true average number of minutes in the past month that adults walked for the purpose of health or recreation is lower than 873 minutes

Answer:

Null Hypothesis: H0: μ = 873

Alternative hypothesis: Ha: μ < 873

Step-by-step explanation:

From the study, the claim is that the true average number of minutes gotten from the population average in the past month that the adults had walked for the purpose of health or recreation is lower than the average of 873 minutes.

Now, the population study says it's equal to 873 minutes.

Thus, the hypotheses can be written as;

Null Hypothesis: H0: μ = 873

Alternative hypothesis: Ha: μ < 873

Answer:

1,2,3, and 5 :]

Step-by-step explanation:

Answer:

1

2

3

5

are the answers edg 2021 hope you have a good day/night

Answer: Katie, Josie, Ramona, Teri

Step-by-step explanation:

Answer:

1.Katie,ramona,josie,Katie.2.katie,josie,romona,teri 3.teri,Ramona,josie,katie 4.Ramona,teri,katie,josie

Step-by-step explanation:

Answer:

24

Step-by-step explanation:

Just multiply the two denominators 4 and 6. 4x6=24 so the answer is 24.

Answer:

20 feet

Step-by-step explanation:

Parimeter is how far you would walk if you made a lap around the shape, walking on the edge lines like a balance beam.

To find perimeter, we need to add up all the sides.

Because it's a square each side has the same length.

There are 4 sides.

5 x 4 = 20

or 5 + 5 + 5 + 5 = 20

The perimeter is 20 feet

Answer:

18

Step-by-step explanation:

Divide 252 by 14 and you will get 18 and if you substitute x or the number you need to find, 18 x 14 = 252. Hope this helps.

Answer:

The answer is = A

Step-by-step explanation:

Hope it's answer you plz mark as Brainlist

Answer:

10: 00 AM

Step-by-step explanation:

2 hr 20 minutes +55 min= 3 hours 15 minutes

3. 15+  1 hr 40 min= 4 55 min

2: 55 pm- 4 hours and 55 minutes= 10 am

Answer:

Ariel starts hiking at 10:00am

Step-by-step explanation:

    2hr 20min

+          55min

+    1hr 40min

————————

   4hr 55min total time spent hiking.

14:55 - 4hr 55min = 10:00

2:55 pm - 4hr 55min = 10:00am

Answer:

Its either 60.625 or 90

Step-by-step explanation:

((2470 - 470)/16) - 35

(2000/16) - 35

125 - 35

90

90 is true if you made a mistake in adding two 470's, but if this is the actual equation, it is 60.625

(or when you follow the order of the numbers it becomes the 61 number)

Answer:

I was told it was D

Step-by-step explanation:

Answer:

1 5/32 is equal to 1.15625 in decimal form.

Step-by-step explanation:

Hope this helped, Have a Great Day!!

1 and 5/32 is equivalent to 1.15625 as a decimal.

To convert the mixed number 1 and 5/32 to a decimal, you need to combine the whole number and the fractional part.

First, you convert the fractional part to a decimal.

The denominator of 32 tells you that there are 32 equal parts in a whole.

To determine the value of 5/32, you divide the numerator (5) by the denominator (32):

5 ÷ 32 = 0.15625

Next, you add the decimal value of the fractional part (0.15625) to the whole number (1):

1 + 0.15625 = 1.15625

Therefore, 1 and 5/32 is equivalent to 1.15625 as a decimal.

Learn more about mixed number click;

https://brainly.com/question/24137171

#SPJ6

Answer:

10:16

Step-by-step explanation:

If there are 16 total animals and 10 of them are racoons, then 6 are squirrels which makes them 10:6 ratio.

(BTW I LOVE UR BAKUGOU PFP)

Answer:

the answer will be 10:16

Step-by-step explanation:

Answer:(3t)^2

Step-by-step explanation:

Steps below

Answer:

120

Step-by-step explanation:

There are 120 high definition televisions are in Order.

Percentage can be calculated by dividing the value by the total value, and then multiplying the result by 100.

Here,

Total television = 300

Percentage of High definition television = 40%

Number of total high definition television = 40/100 X 300

                                                                     = 40 X 3

                                                                     = 120

Thus, There are 120 high definition televisions are in Order.

Learn more about Percentage from:

https://brainly.com/question/14979505

#SPJ2

Answer:

y = -0.8x - 5

Step-by-step explanation:

x1 = (XA + XB) / 2 = -5

y1 = (YA + YB) / 2 = -1

m = (XA - XB) / (YA - YB) = -0

__________________________________________

(y - -1) = -0.8(x - -5)

y - -1 = -0.8x - 4

y = -0.8x - 4 + -1

y = -0.8x - 5

Answer:

5375 should be it

Step-by-step explanation:

Answer:

17

Step-by-step explanation:

you add the b and x coordinate divide it by 2 to get the value of p and q which you then divide by the value of ur mom to get x