D=a=-3

A company sells cans of caviar that say they each contain 100g. of product with a standard deviation of 1g. A consumer advocacy

marin [14]

Answer:

Step-by-step explanation:

We would set up the hypothesis test. This is a test of a single population mean since we are dealing with mean

For the null hypothesis,

µ = 100g

For the alternative hypothesis,

µ < 100g

Due to the <, It means that it is left tailed test.

Since the number of samples is large, the population standard deviation is given, the z test would be used. The formula is

z = (x - µ)/(σ/√n)

Where

x = sample mean

µ = population mean

σ = population standard deviation

n = number of samples

From the information given,

µ = 100g

x = 99 g

σ = 1g

n = 30

z = (99 - 100)/(1/√30) = - 5.48

Looking at the normal distribution table, the probability corresponding to the z score is less than 0.00001

P value < 0.00001

4 0

2 years ago

An explosion causes debris to rise vertically with an initial speed of 120 feet per second. The formula h equals negative 16 t s

Novay_Z [31]

Answer:

The debris will be at a height of 56 ft when time is <u>0.5 s and 7 s.</u>

Step-by-step explanation:

Given:

Initial speed of debris is, $s=120\ ft/s$

The height 'h' of the debris above the ground is given as:

$h(t)=-16t^2+120t$

As per question, $h(t)=56\ ft$ . Therefore,

$56=-16t^2+120t$

Rewriting the above equation into a standard quadratic equation and solving for 't', we get:

$-16t^2+120t-56=0\\\textrm{Dividing by -8 throughout, we get}\\\frac{-16}{-8}t^2+\frac{120}{-8}t-\frac{56}{-8}=0\\2t^2-15t+7=0$

Using quadratic formula to solve for 't', we get:

$t=\frac{-b\pm \sqrt{b^2-4ac}}{2a}\\\\t=\frac{-(-15)\pm \sqrt{(-15)^2-4(2)(7)}}{2(2)}\\\\t=\frac{15\pm \sqrt{225-56}}{4}\\\\t=\frac{15\pm\sqrt{169}}{4}\\\\t=\frac{15\pm 13}{4}\\\\t=\frac{15-13}{4}\ or\ t=\frac{15+13}{4}\\\\t=\frac{2}{4}\ or\ t=\frac{28}{4}\\\\t=0.5\ s\ or\ t=7\ s$

Therefore, the debris will reach a height of 56 ft twice.

When time $t=0.5\ s$ during the upward journey, the debris is at height of 56 ft.

Again after reaching maximum height, the debris falls back and at $t=7\ s$ , the height is 56 ft.

5 0

3 years ago

Evaluate the expression<br>7 + 10 /5

Anestetic [448]

Answer:

9

Step-by-step explanation:

Use PEMDAS (Parenthesis, exponent, multiplication, devision, addition, subtraction)

So....

7 + 2 .... Simplified ( 10/5 =2)

9 ..... Added

Hope this helps!

4 0

3 years ago

Read 2 more answers

Rectangle A has a length of 12 and width of 8. Rectangle B has a length of 15 and a width of 10.

navik [9.2K]

Answer:

rectangles are similar figures, thus if scaled copies of each other then the ratios of corresponding sides must be equal

compare ratios of lengths and widths

rectangles A and B

k = = ← ratio of lengths

k = = ← ratio of widths

scale factors are equivalent, hence rectangle A is a scaled copy of B

rectangles C and B

k = = ← ratio of lengths

k = = ← ratio of width

scale factors (k ) are not equal, hence C is not a scaled copy of B

rectangles A and C

k = = ← ratio of lengths

k = ← ratio of widths

the scale factors are not equal hence A is not a scaled copy of C

Step-by-step explanation:

6 0

2 years ago

Simplify: 6v+v+1 learned at beggining of year btw

Readme [11.4K]

Answer:

7v +1

Step-by-step explanation:

6v+v+1

Combine like terms

7v +1

5 0

3 years ago