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2 years ago

This sign shows when a lift is safe to use.

Mathematics

1 answer:

Scrat [10]2 years ago

7 0

Answer:

Yes it is safe

Step-by-step explanation:

lower bound of fred's weight (88kg) = 87.5kg

upper bound of total mass (480kg) = 567.5 kg

567.5kg - 87.5kg = 480 kg

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A sample of size 60 from one population of weights had a sample average of 10.4 lb. and a sample standard deviation of 2.7 lb. A

Olegator [25]

Answer:

z= 0.278

Step-by-step explanation:

Given data

n1= 60 ; n2 = 100

mean 1= x1`= 10.4; mean 2= x2`= 9.7

standard deviation 1= s1= 2.7 pounds ; standard deviation 2= s2 = 1.9 lb

We formulate our null and alternate hypothesis as

H0 = x`1- x`2 = 0 and H1 = x`1- x`2 ≠ 0 ( two sided)

We set level of significance α= 0.05

the test statistic to be used under H0 is

z = x1`- x2`/ √ s₁²/n₁ + s₂²/n₂

the critical region is z > ± 1.96

Computations

z= 10.4- 9.7/ √(2.7)²/60+( 1.9)²/ 100

z= 10.4- 9.7/ √ 7.29/60 + 3.61/100

z= 0.7/√ 0.1215+ 0.0361

z=0.7 /√0.1576

z= 0.7 (0.396988)

z= 0.2778= 0.278

Since the calculated value of z does not fall in the critical region so we accept the null hypothesis H0 = x`1- x`2 = 0 at 5 % significance level. In other words we conclude that the difference between mean scores is insignificant or merely due to chance.

3 0

2 years ago

A cylinder has its height doubled and its radius cut to 1/3. What is the ratio of the volumes of the modified cylinder to the or

STALIN [3.7K]

1 is to 4.5; the original cylinder was 3.14 and the modified cylinder was .698
(I ignored units)

6 0

2 years ago

Read 2 more answers

A ketchup company regularly receives large shipments of tomatoes. For each shipment that is received, a supervisor takes a rando

fredd [130]

Answer:

$H_o:p=0.1\\\\H_a:p\neq 0.1$

Step-by-step explanation:

-A hypothesis is a claim of evidence and is used in making statistical decisions during experiments/ research.

-Given that 10% of the entire shipment is bruised.

-the null hypothesis states that the proportion is equal to the stated value:

$H_o:p=0.1$

-The alternative states that the null hypothesis is not correct:

$H_a:p\neq 0.1$

8 0

2 years ago

What is the difference between 4Σn=1, 2n+1 and 4Σi=1, (2i+1)?

alina1380 [7]

Answer:

Step-by-step explanation:

Each expression is a way to write the sum ...

3 + 5 + 7 + 9

That sum in each case is 24, so the difference is 24-24 = 0.

6 0

2 years ago

Each square on the grid is 1 unit by 1 unit. You want to walk from point A to point B via a path that is 7 units long, but you h

Effectus [21]

Answer:

If you are traversing squares then 7 different paths can be taken

If you are traversing edges then 36 different paths can be taken

Step-by-step explanation:

I have attached a picture that would describe the grid which is 7 units long.

The solution to the general problem is if you have to take X right steps, and Y down steps then the number of routes is simply the ways of choosing where to take the down (or right) steps. Such that:

$\left (\ {X+Y} \atop {X}} \right.\left)=\left (\ {X+Y} \atop {Y}} \right.\left)$

Basically its the combination of terms.

In this problem,

If you are traversing squares then there are 6 right steps and 1 down step,

7 C 1 = 7 C 6= 7

If you are traversing edges then there are 7 right steps and 2 down steps:

9 C 2 = 9 C 7= 36

3 0

2 years ago