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kolezko [41]
3 years ago
11

Jessica grows two types of tomato plants in her garden. For each type, she records the heights, in inches, of five plants. What

can she infer about the heights of the plants? Type 1: {42, 56, 44, 60, 48} Type 2: {62, 59, 68, 55, 66} A. Type 1 and Type 2 plants have similar height distributions. B. Type 1 and Type 2 plants have somewhat similar height distributions. C. Type 1 plants and Type 2 plants do not have similar height distributions. D. Type 1 plants and Type 2 plants have identical height distributions.
Mathematics
1 answer:
Savatey [412]3 years ago
3 0
B, type 1 and type 2 have somewhat similar height distributions
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Tickets at a school play cost $4 in advance or $5 at the door. Total ticket sales for an evening production were $440. If no tic
lisov135 [29]
5x=440
×=the number of tickets sold

then you woukd just divide 440÷5=88
88 tickets were sold at the door
4 0
3 years ago
Read 2 more answers
Differentiate x^2 e^x logx
zimovet [89]

Product rule:

\dfrac{\mathrm d}{\mathrm dx}(x^2e^x\log x)

=\dfrac{\mathrm d(x^2)}{\mathrm dx}e^x\log x+x^2\dfrac{\mathrm d(e^x)}{\mathrm dx}\log x+x^2e^x\dfrac{\mathrm d(\log x)}{\mathrm dx}

Power rule:

\dfrac{\mathrm d(x^2)}{\mathrm dx}=2x

The exponential function is its own derivative:

\dfrac{\mathrm d(e^x)}{\mathrm dx}=e^x

Assuming the base of \log x is e, its derivative is

\dfrac{\mathrm d(\log x)}{\mathrm dx}=\dfrac1x

But if you mean a logarithm of arbitrary base b, we have

y=\log_bx\implies x=b^y=e^{y\ln b}\implies1=e^{y\ln b}\ln b\dfrac{\mathrm dy}{\mathrm dx}

\implies\dfrac{\mathrm dy}{\mathrm dx}=\dfrac{e^{-y\ln b}}{\ln b}=\dfrac1{b^y\ln b}

\implies\dfrac{\mathrm d(\log_bx)}{\mathrm dx}=\dfrac1{x\ln b}

So we end up with

2xe^x\log x+x^2e^x\log x+\dfrac{x^2e^x}x

=xe^x(2\log x+x\log x+1)

8 0
3 years ago
Simplify the expression. Write answer using only positive exponents.<br><br><br> (1/3a^3)^-4
Artemon [7]

Answer:

81/a^12

Step-by-step explanation:

3 0
3 years ago
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If x+1/x=7,find x^2+1/x^2​
trapecia [35]

Answer:

x²+1/x² = 51

Explanation:

Given x - 1/x = 7 ---(1)

We know the algebraic identity:

a²+b²-2ab = (a-b)²

Or

a²+b² = (a-b)²+2ab

Now,

x²+1/x²

= (x-1/x)²+2*x*(1/x)

= (x-1/x)²+2

:7²+2 [ from (1)] =

= 49+2

= 51

Therefore,

x²+1/x² = 51

3 0
3 years ago
If the difference of two numbers is even then so is their sum.
Nutka1998 [239]

Answer and explanation:

Statement - If the difference of two numbers is even then so is their sum.

Let the two even numbers be '2m' and '2n' with m and n are integers.

The difference of two number is

2m-2n=2(m-n)

Now, The sum of the numbers is

2m+2n=2(m+n)

Let m+n=k where k is an integer

Then, 2m+2n=2k which is also an even number as 2 is multiplied with it.

So, If the difference of two numbers is even then so is their sum.

For example -

Let two even number 2 and 4.

The difference is 4-2=2, 2 is even.

The sum is 4+2=6, 6 is even.

4 0
3 years ago
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