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Damm [24]
3 years ago
12

Bobby is dividing 50 feet below sea level at the beach. His sister is at the swimming pool deck, which is 15 feet above sea leve

l What is the difference , in feet between the pool deck and Bobby’s position?
Mathematics
1 answer:
Anettt [7]3 years ago
4 0

Answer:

35

Step-by-step explanation:

Bobby is at negative 50 and his sister is above 15 feet (positive) so it is 35

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the number of cakes baked varies directly with the number of hours the caterers work. What is the ratio of cakes baked to hours
aniked [119]

The required ratio of cakes baked to hours worked = 30: 1

<u>Concept:</u>

We know that a ratio is a term in mathematics that signifies how many times one value contains the other.

<u>Given:</u> The number of cakes baked varies directly with the number of hours the caterers work.

<u>Explanation:</u>

From the given graph, it can observe that,

30 cakes are made in 1 hour. ( When we draw a vertical line from <em>x </em>= 1 to the curve, we get <em>y</em>=30 i.e. point is ( 1,30).

The required ratio of cakes baked to hours worked = 30: 1

Learn more:

brainly.com/question/24728840

5 0
3 years ago
A) equal lines<br> B) parallel lines<br> C) perpendicular lines<br> D) None of the above
Nat2105 [25]
I think the answer is D, None of the above
8 0
3 years ago
Read 2 more answers
Determine the value of x and y in the following systems of equations5x-2y=4 ; -2x+y=2.
V125BC [204]

Answer:(x,y)=(8,18)

Step-by-step explanation:

Given

5x-2y=4-------1

Second Equation

-2x+y=2-----2

Now multiply equation 2 by 2 and it to equation 1

5x-4x+0=8

x=8

substitute it in equation 1

5\times 8-2\times y=4

36=2y

y=18

Therefore

(x,y)=(8,18)

7 0
3 years ago
(FIRST CORRECT FOR BRAINIEST) Solve for x
Katyanochek1 [597]

Answer:

x = 12

Step-by-step explanation:

Angles in a triangle add up to equal 180 degrees

Hence, 10x - 11 + 3x - 2 + 3x + 1 = 180

( note that we just created an equation that we can use to solve for x )

we now solve for x using the equation we created

10x - 11 + 3x - 2 + 3x + 1 = 180

step 1 combine like terms

10 + 3x + 3x = 16x

- 11 - 2 + 1 = -12

we now have 180 = 16x - 12

step 2 add 12 to each side

- 12 + 12 cancels out

180 + 12 = 192

we now have 192 = 16x

step 3 divide each side by 16

16x / 16 = x

192 / 16 = 12

we're left with x = 12

4 0
3 years ago
Read 2 more answers
The quality-control manager at a compact flourescent light bulb factory wants to test the claim that the mean life of a large sh
MAXImum [283]

Answer:

a. At the 0.05 level of significance,  there is evidence that the mean life is different from 6,500 hours.

b. The p value= ≈ 0.00480 for z- test which is less than 0.05 and H0 is rejected .

The p value= 0.006913 for t- test which is less than 0.05 and H0 is rejected for 49 degrees of freedom.

c. CI [6583.336 ,6816.336]

d.  The range of CI [6583.336 ,6816.336] tells that the cfls having a different mean life lie in this range.

Step-by-step explanation:

Population mean = u= 6500 hours.

Population standard deviation = σ=500 hours.

Sample size =n= 50

Sample mean =x`=  6,700 hours

Sample standard deviation=s=  600 hours.

Critical values, where P(Z > Z) =∝ and P(t >) =∝

Z(0.10)=1.282  

Z(0.05)=1.645  

Z(0.025)=1.960  

t(0.01)(49)= 1.299

t(0.05)= 1.677  

t(0.025,49)=2.010

Let the null and alternate hypotheses be

H0: u = 6500 against the claim Ha: u ≠ 6500

Applying Z test

Z= x`- u/ s/√n

z= 6700-6500/500/√50

Z= 200/70.7113

z= 2.82=2.82

Applying  t test

t= x`- u /s/√n

t= 6700-6500/600/√50

t= 2.82

a. At the 0.05 level of significance,  there is evidence that the mean life is different from 6,500 hours.

Yes we reject H0  for z- test as it falls in the critical region,at the 0.05 level of significance, z=2.82 > z∝=1.645

For t test  we reject H0   as it falls in the critical region,at the 0.05 level of significance, t=2.82 > t∝=1.677 with n-1 = 50-1 = 49 degrees of freedom.

b. The p value= ≈ 0.00480 for z- test which is less than 0.05 and H0 is rejected .

The p value= 0.006913 for t- test which is less than 0.05 and H0 is rejected for 49 degrees of freedom.

c. The 95 % confidence interval of the population mean life is estimated by

x` ±  z∝/2  (σ/√n )

6700± 1.645 (500/√50)

6700±116.336

6583.336 ,6816.336

d. The range of CI [6583.336 ,6816.336] tells that the cfls having a different mean life lie in this range.

6 0
3 years ago
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