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Alex17521 [72]
3 years ago
12

When is making a strawberry cake for her brother's birthday the cake Pan is right rectangular prism 20 cm wide by 28 cm long whe

n he puts 1840 cm of battered into it how deep is the cake batter
Mathematics
1 answer:
Anna [14]3 years ago
8 0

Answer:

3 2/7 or 23/7 cms

Step-by-step explanation:

So we know the volume of a prism = L * W * H

And with the given info we know = L=28 and W=20 and Vol=1840

we solve for H and we get 23/7

You might be interested in
Ricky caught a snake that was 58.2 centimeters long. Which of these lengths has an 8 with a value of 1/10 the value of the 8 in
Anettt [7]

In every number, set every digit to zero that is not 8. Then look at the question again.

"Which of these lengths has 1/10 the value of 8.0?"

  • A. 800
  • B. 0.08
  • C. 80
  • D. 0.80

We hope the answer D is obvious to you.

... 0.80 = (1/10)×8.0

___

The appropriate choice is ...

... D. 209.86

8 0
3 years ago
Suppose S and T are mutually exclusive events. Find P(S or T) if P(S) = 8/9 and P(T) = 1/10.
blsea [12.9K]

Answer:

\textbf{$P(S \cap T) = \frac{89}{90}$ }\\

Step-by-step explanation:

\textup{Mutually events are events that cannot occur at the same time.}\\\textup{When you toss a coin you get only $head$ or only $tail$ but never both.}\\ \textup{In mathematical terms $P(A) \cup  P(B) = 0$, where $A$ and $B$ are mutually exclusive events. }\\\textup{We know the formula:}\\$$ P(A \cup B) = P(A) + P(B) - P(A \cup B) $$\\\textup{When $A$ and $B$ are mutually exclusive, it will simply be:}\\$$ P(A \cup B) = P(A) + P(B) $$\\\textup{Now given:}\\ $P(S) = 8/9$ , $P(T) = 1/10$\\

$ \implies P(S \cup T) = \frac{89}{10}$

6 0
3 years ago
What are the x and y intercepts of f(x) = x2-x-12/x2+5x+6 and is there a hole? ​
stiv31 [10]

Answer:

There are no holes. The VAs are x=4 & x=-4  the HA is  x=2 the x intercepts are  (-3,0) & (3,0)  and the y intercept is (0,9/8).

Step-by-step explanation:

Given  f ( x ) =2 x ^2 − 18/x^2-16

find all asymptotes, holes and intercepts.

Factor the numerator and denominator.

f ( x ) =2 ( x ^2 − 9 )/( x + 4 ) ( x − 4 )

f ( x ) =2 ( x +3 ) ( x − 3 )/( x + 4 ) ( x − 4 )

A hole exists when the numerator and denominator contain the same factor (a factor "cancels out"). This function has no holes.

To find the vertical asymptote(s) (VA), find the values of  x

which make the denominator equal zero. The function is undefined at these values of  x

because you cannot divide by zero.

Set each factor of the denominator equal to zero and solve.

x + 4 = 0  and x − 4 = 0

x = − 4  and  x = 4

These are the VAs.

To find the horizontal asymptote(HA), compare the degree of the numerator and denominator. If the degrees are the same, the HA is the ratio of the leading coefficients.

For  f ( x) =2 x ^2 − 18/x^2-16

the degree in both numerator and denominator is  2

and the ratio of the leading coefficients is 2/1=1

The HA is  x = 2

The  x  intercept is the value at which the function (or "y") equals zero. If the numerator is zero, the function equals zero.

2 ( x + 3 ) ( x − 3 ) = 0

x + 3 = 0    x − 3 = 0

x = − 3   and  x = − 3

The  x  intercepts are  ( − 3 , 0 )  and  ( 3 , 0 ) .

The  y  intercepts are found by setting  x = 0 .

f ( 0 ) = 2 ( 0 ) ^2 − 18/( 0 )^2 − 16 = 9 /8

The  y  intercept is  ( 0 , 9/ 8 ) .

graph{(2x^2-18)/(x^2-16) [-10.04, 9.96, -3.56, 6.44]}

HOPE THIS HELPS YOU!!!!

        =)

4 0
4 years ago
An automobile manufacturer has given its van a 47.2 miles/gallon (MPG) rating. An independent testing firm has been contracted t
7nadin3 [17]

Answer:

A

The  test statistics is  t  = -1.7

B

The  Null and  Alternative hypothesis are

      H_o  :  \mu = 47.2   and  H_a :  \mu \ne  47.2

Step-by-step explanation:

From the question we are told that

    The population mean is  \mu  =  47.2 miles/gallon(MPG)

    The sample size is  n =  250 \ van

     The  sample mean is  \= x  =  47.0

      The sample  standard deviation is  \sigma  =  1.9

      The level of significance is  \alpha  =  0.02

Given that the value which the manufacturer gave the automobile is  47.2 and  it is believed that this is not correct, then  

The  Null Hypothesis is  

        H_o  :  \mu = 47.2

The alternative Hypothesis  is  

        H_a :  \mu \ne  47.2

The test statistics can be mathematically evaluated as  

        t  =  \frac{\= x- \mu}{\frac{\sigma }{\sqrt{n} } }

substituting values

        t  =  \frac{\= 47- 47.2}{\frac{1.9 }{\sqrt{250} } }

       t  = -1.7

7 0
3 years ago
9 [1+345-(6-8 +48 x 23 -77​
melisa1 [442]

Answer:

1933

Step-by-step explanation:

9 x (1 + 345) - 6 - 8 + 48 x 23 - 77

Use BODMAS method to solve these type of equation

B - Brackets

O - Power

D - Division

M - Multiplication

A - Addition

S - Subtraction

_________________________________________________________

Brackets - 1 + 345 = 346

Multiplication

9 x 346 = 3114

48 x 23 =  1104

Lets rewrite the equation now

3114 - 6 + 1104 - 77

Addition

6 + 1104 = 1110

Subtraction

3114 - 1104 = 2010

2010 - 77 = 1933

Answer = 1933

__________________________________________________________

Hope you understand

:-)

6 0
3 years ago
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