What is the slope of a line with the given coordinates (6,-4) and (-3,-7)

A quality control specialist at a pencil manufacturer pulls a random sample of 45 pencils from the assembly line. The pencils ha

amm1812

Answer:

The P-value you would use to test the claim that the population mean of pencils produced in that factory have a mean length equal to 18.0 cm is 0.00736.

Step-by-step explanation:

We are given that a quality control specialist at a pencil manufacturer pulls a random sample of 45 pencils from the assembly line.

The pencils have a mean length of 17.9 cm. Given that the population standard deviation is 0.25 cm.

Let $\mu$ = population mean length of pencils produced in that factory.

So, Null Hypothesis, $H_0$ : $\mu$ = 18.0 cm {means that the population mean of pencils produced in that factory have a mean length equal to 18.0 cm}

Alternate Hypothesis, $H_A$ : $\mu\neq$ 18.0 cm {means that the population mean of pencils produced in that factory have a mean length different from 18.0 cm}

The test statistics that will be used here is One-sample z-test statistics because we know about the population standard deviation;

T.S. = $\frac{\bar X-\mu}{\frac{\sigma}{\sqrt{n} } }$ ~ N(0,1)

where, $\bar X$ = sample mean length of pencils = 17.9 cm

$\sigma$ = population standard deviation = 0.25 cm

n = sample of pencils = 45

So, the test statistics = $\frac{17.9-18.0}{\frac{0.25}{\sqrt{45} } }$

= -2.68

The value of z-test statistics is -2.68.

Now, the P-value of the test statistics is given by;

P-value = P(Z < -2.68) = 1 - P(Z $\leq$ 2.68)

= 1- 0.99632 = 0.00368

For the two-tailed test, the P-value is calculated as = 2 $\times$ 0.00368 = 0.00736.

7 0

3 years ago

Which pair of expressions is equivalent using the Associative Property of Multiplication? (3 points) 5(3a ⋅ 4) = 15a ⋅ 20 5(3a ⋅

cluponka [151]

Answer:

5(3a ⋅ 4) = (5 ⋅ 3a) ⋅ 4

Step-by-step explanation:

The Associative Property is applied to two types of operations: addition and multiplication. This property indicates that, when there are three or more terms in these operations, the result does not depend on the way in which the terms are grouped.

In this sense, the associative property for the sum is mathematically given by:

$(x+y)+z=x+(y+z)$

and for the multiplication by:

$(xy)z=x(yz)$

Now, let:

$x=5\\y=3a\\z=4$

Using the Associative Property of Multiplication:

$(xy)z=x(yz)\\\\Replacing\hspace{3}the\hspace{3}values\\\\(5\cdot 3a)\cdot4=5(3a\cdot 4)$

Therefore the equivalent expressions are:

5(3a ⋅ 4) = (5 ⋅ 3a) ⋅ 4

8 0

3 years ago

Read 2 more answers

I don't understand this question.

amid [387]

Answer: .75g + 4 = 7 [remove spaces where necessary]

Step-by-step explanation: $4 is the flat rate for a helmet, so we add that into the equation. Since "g" represents one group of pitches and it costs 75¢, we add it into the equation as .75g. On the other side of the equal sign we put the amount of money spent, in this case 7 - to find out how many groups of pitches he bought we just solve the equation. In this case g = 4.

7 0

2 years ago

Help simplify the answer. In the picture

Paul [167]

rounding to nearest 10 to any number follow these rules

1. if number ends 0 , 1 , 2 ,3 4 , 5 take number down to nearset multiple of 10

2. if number ends with above 5 take the upper number multiple of 10

so here

413 + 35.6 + 998.5 + 376 + 85.3

= 410 + 40 + 1000+ 380 + 90

= 1920

5 0

3 years ago

A surveyor wants to know how many shoppers at a mall like to read books

LiRa [457]

Then the surveyor should ask how many people do they read books very simple

8 0

3 years ago