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kakasveta [241]
1 year ago
7

Mark said, "in the data set,4, 5, 5, 8, the mean and mode the same. " Is he correct? Explain why or why not in your explanation

make sure to state the value of the the means and the mode
Mathematics
1 answer:
Vinvika [58]1 year ago
5 0

Answer:

No

Step-by-step explanation:

the mean is 16 (add 4+5+5+8, then divide answer by 4) and the mode is 5 (occurs most in data)

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Solve the initial value problem. dy/dt = 1 + 6/t , t > 0, y = 8 when t = 1
nordsb [41]
\displaystyle\frac{dy}{dt} = 1 + \frac{6}{t}\ \Rightarrow\ dy = \left( 1 + \frac{6}{t}\right) dt\ \Rightarrow\int 1\, dy = \int \left( 1 + \frac{6}{t}\right) dt \ \Rightarrow \\ \\
y = t + 6\ln|t| + C. \text{ But $t\ \textgreater \ 0$ so }y = t + 6\ln t + C. \\ \\ 
y(1) = 8\ \Rightarrow\ 8 = 1 + 6 \ln 1 + C \ \Rightarrow\ C = 7 \text{ so } \\ \\
y(t) = t + 6\ln t + 7
5 0
3 years ago
Solve for a and b<br> (6a-3)=(7b-10)
Free_Kalibri [48]

Answer:

for A=\frac{7b-7}{6} and for B=\frac{6a+7}{7}

Step-by-step explanation:

For A

\left(6a-3\right)=\left(7b-10\right)

6a-3+3=7b-10+3

6a=7b-7

\frac{6a}{6}=\frac{7b}{6}-\frac{7}{6}

a=\frac{7b-7}{6}

For B

\left(6a-3\right)=\left(7b-10\right)

7b-10=\left(6a-3\right)

7b-10=6a-3

7b-10+10=6a-3+10

7b=6a+7

\frac{7b}{7}=\frac{6a}{7}+\frac{7}{7}

b=\frac{6a+7}{7}

3 0
2 years ago
Evaluate each expression for t = 0, x = 1.5, y = 6, and z = 23
My name is Ann [436]

Answer:

1. 11

2. 20

3. 34

4. 12.6

5. 18

6. 105

Step-by-step explanation:

We are told that ---> t = 0, x = 1.5, y = 6, and z = 23

1. y + 5

= 6 + 5

= 11

2. z - 2x

= 23 - 2(1.5)

= 23 - 3

= 20

3. 2z - 2y

= 2(23) - 2(6)

= 46 - 12

= 34

4. 2.6y - 2x

= 2.6(6) - 2(1.5)

= 15.6 - 3

= 12.6

5. 4(y - x)

= 4(6 -  1.5)

= 24 - 6

= 18

6. 4(2 + z) + 5

= 4(2 + 23) + 5

= 8 + 92 + 5

= 105

3 0
2 years ago
Cydus<br> How many solutions doos the equation 4+4x - 3=4x +5 have?
ipn [44]
0 solutions because simplifying the equation gives us 1 = 5, which is never true
5 0
3 years ago
Read 2 more answers
Rewrite 4 x 4 x 4 x 4 x4 using a exponent​
alukav5142 [94]

Answer:4 to the 4th power

Step-by-step explanation:

4^4

3 0
3 years ago
Read 2 more answers
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