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Harlamova29_29 [7]
3 years ago
9

Jared is in charge production in a factory that makes lightbulbs. The factory made 2648 lightbulbs over the weekend. Jared wants

to pull a sample of these bulbs for testing. Which sample would give Jared the most -accurate test readings ? —a sample consisting every 20th lightbulb- a sample consisting every 40th light bulb- a sample consisting every 50th lightbulb- a sample consisting every 100th light bulb?
Mathematics
1 answer:
Elodia [21]3 years ago
8 0
A sample consisting every 20th lightbulb because the more numbers the better :D
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A candy company claims that its jelly bean mix contains 15% blue jelly beans. Suppose that the candies are packaged at random in
I am Lyosha [343]

Answer:

Doubtful.

Step-by-step explanation:

Our values are,

P=0.15 \rightarrow 15\%Jelly Bean Mix.

The sample for us is n=200

And our proportion (x) is 40 .

We can calculate  with this dates the sample proportion and make he test statistic.

p=\frac{x}{n} = \frac{40}{200} = 0.20

H_0:P=0.15

H_1:P \neq 0.15

We use the formula for Test statistic, that is given by,

z= \frac{p-P}{\sqrt{\frac{P-(1-P)}{n}}}

z= \frac{0.20-0.15}{\sqrt{\frac{0.15(1-0.15)}{200}}}

z= 1.98

We see that our P-value: 0.048 (From the Table)

We note that p-value is less than 0.05, so we should to rejecyt the null hypothesis and conclude that the calim is doubtful

4 0
3 years ago
Which ordered pair would form a proportional relationship with the point graphed below? On a coordinate plane, a line with negat
avanturin [10]

Answer:

Answer:

(5, 20)  

Step-by-step explanation:

We can find the slope of the line

m = (y2-y1)/(x2-x1)

   = (40-0)/(10-0)

   = 40/10

   =4

Since the line goes through (0,0) the y intercept is 0

y = mx+b

y = 4x

Lets check the points  by substituting into the equation

40, 10)     10 = 4*40   10 =160  no

(–5, –10)    -10 = 4*-5    10 = -20   no

(5, 20)       20 = 4*5    20 = 20  yes

(–10, –20)    -20 = 4*-10    -20 = -40   no

Step-by-step explanation:

Which ordered pair would form a proportional relationship with the point graphed below? On a coordinate plane, a line with negative slope goes through points (negative 20, 10), (0, 0), and (20, negative 10). (10, –20) (–30, 20) (–10, 5) (35, –20)

4 0
3 years ago
Read 2 more answers
Which vector matrix represents the reflection of the vector <-1,5> across the line x = y
Arturiano [62]

Answer:

V = \left[\begin{array}{ccc}5&-1\end{array}\right]

Step-by-step explanation:

We want to reflect this 2x1 vector on the line y = x.

To make this reflection we must use the following matrix:

R=\left[\begin{array}{cc}0&1\\1&0\\\end{array}\right]

Where R is known as the reflection matrix on the line x = y

Now perform the product of the vector <-1,5> x R.

\left[\begin{array}{ccc}-1\\5\end{array}\right]x\left[\begin{array}{ccc}0&1\\1&0\end{array}\right]\\\\\\\left[\begin{array}{ccc}-1(0) +5(1)&-1(1)+5(0)\end{array}\right]\\\\\\\left[\begin{array}{ccc}5&-1\end{array}\right]

The vector matrix that represents the reflection of the vector <-1,5> across the line x = y is:

V = \left[\begin{array}{ccc}5&-1\end{array}\right]

6 0
3 years ago
a small rocket is shot from the edge of a cliff suppose that after t seconds the rocket is y meters above the cliff where y=30t-
Natalka [10]

Answer:

Greatest height: 45 meters

Time for greatest height: 3 seconds

Height after 5 seconds: 25 meters above the cliff

Time for height of 40 meters: 7.123 seconds

Height after 7 seconds: -35 meters (35 meters below the cliff)

Step-by-step explanation:

to find the maximum height, we need to calculate the derivative of y in relation to t and then find when dy/dt = 0:

dy/dt = 30 - 10t = 0

10t = 30

t = 3 seconds

In this time, the height is:

y = 30*3 - 5*3^2 = 45 meters

After 5 seconds, the height is:

y = 30*5 - 5*5^2 = 25 meters

The time for the height of 40 meters is:

40 = 30t - 5t^2

t^2 - 6t - 8 = 0

Using Bhaskara's formula, we have:

Delta = 6^2 + 4*8 = 68

sqrt(Delta) = 8.246

t1 = (6 + 8.246) / 2 = 7.123 seconds

t2 = (6 - 8.246) / 2 = -1.123 seconds (negative value for time is not valid)

So the time when the rocket reaches 40 meters is 7.123 seconds

After 7 seconds, the height is:

y = 30*7 - 5*7^2 = -35 meters

The rocket will be 35 meters below the cliff.

5 0
3 years ago
222222222222-22111111111111111
stealth61 [152]
222222222222-22111111111111111
= - 2.2111 × 10^16
3 0
3 years ago
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