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VMariaS [17]
3 years ago
11

Toby read a total of 12 books over 3 months. If Toby has read 16 books so far, how many

Mathematics
2 answers:
liubo4ka [24]3 years ago
8 0

Answer:

4 months

Step-by-step explanation:

Nastasia [14]3 years ago
6 0

Answer:

Step-by-step explanatioen:

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What is 2x+x+x+2y×3y×y simplified
Reil [10]

Answer:

4x+6y³

Step-by-step explanation:

give me thanks, please;)

3 0
3 years ago
Read 2 more answers
Solve for x. 21/2x−3/4(2x+5)=3/8
Savatey [412]
Simplify \frac{21}{2}x
​2
​
​21
​​ x to \frac{21x}{2}
​2
​
​21x
​​
\frac{21x}{2}-\frac{3}{4}(2x+5)=\frac{3}{8}
​2
​
​21x
​​ −
​4
​
​3
​​ (2x+5)=
​8
​
​3
​​

2 Simplify \frac{3}{4}(2x+5)
​4
​
​3
​​ (2x+5) to \frac{3(2x+5)}{4}
​4
​
​3(2x+5)
​​
\frac{21x}{2}-\frac{3(2x+5)}{4}=\frac{3}{8}
​2
​
​21x
​​ −
​4
​
​3(2x+5)
​​ =
​8
​
​3
​​

3 Multiply both sides by 44 (the LCM of 2, 42,4)
42x-3(2x+5)=\frac{3}{2}42x−3(2x+5)=
​2
​
​3
​​

4 Expand
42x-6x-15=\frac{3}{2}42x−6x−15=
​2
​
​3
​​

5 Simplify 42x-6x-1542x−6x−15 to 36x-1536x−15
36x-15=\frac{3}{2}36x−15=
​2
​
​3
​​

6 Add 1515 to both sides
36x=\frac{3}{2}+1536x=
​2
​
​3
​​ +15

7 Simplify \frac{3}{2}+15
​2
​
​3
​​ +15 to \frac{33}{2}
​2
​
​33
​​
36x=\frac{33}{2}36x=
​2
​
​33
​​

8 Divide both sides by 3636
x=\frac{\frac{33}{2}}{36}x=
​36
​
​
​2
​
​33
​​
​​

9 Simplify \frac{\frac{33}{2}}{36}
​36
​
​
​2
​
​33
​​
​​ to \frac{33}{2\times 36}
​2×36
​
​33
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x=\frac{33}{2\times 36}x=
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10 Simplify 2\times 362×36 to 7272
x=\frac{33}{72}x=
​72
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​33
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11 Simplify \frac{33}{72}
​72
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X=11 over 24
4 0
3 years ago
Read 2 more answers
Suppose that E(θˆ1) = E(θˆ2) = θ, V(θˆ 1) = σ2 1 , and V(θˆ2) = σ2 2 . Consider the estimator θˆ 3 = aθˆ 1 + (1 − a)θˆ 2. a Show
katen-ka-za [31]

Answer:

Step-by-step explanation:

Given that:

E( \hat \theta _1) = \theta  \ \ \ \ E( \hat \theta _2) = \theta \ \ \ \ V( \hat \theta _1) = \sigma_1^2  \ \ \ \ V(\hat  \theta_2) = \sigma_2^2

If we are to consider the estimator \hat \theta _3 = a \hat  \theta_1 + (1-a)  \hat \theta_2

a. Then, for  \hat \theta_3 to be an unbiased estimator ; Then:

E ( \hat \theta_3) = E ( a \hat \theta_1+ (1-a) \hat \theta_2)

E ( \hat \theta_3) = aE (  \theta_1) + (1-a) E ( \hat \theta_2)

E ( \hat \theta_3) = a   \theta + (1-a)  \theta = \theta

b) If \hat \theta _1 \ \  and  \ \   \hat \theta_2 are independent

V(\hat \theta _3) = V (a \hat \theta_1+ (1-a) \hat \theta_2)

V(\hat \theta _3) = a ^2 V ( \hat \theta_1) + (1-a)^2 V ( \hat \theta_2)

Thus; in order to minimize the variance of \hat \theta_3 ; then constant a can be determined as :

V( \hat \theta_3) = a^2 \sigma_1^2 + (1-a)^2 \sigma^2_2

Using differentiation:

\dfrac{d}{da}(V \ \hat \theta_3) = 0 \implies 2a \ \sigma_1^2 + 2(1-a)(-1) \sigma_2^2 = 0

⇒

a (\sigma_1^2 + \sigma_2^2) = \sigma^2_2

\hat a = \dfrac{\sigma^2_2}{\sigma^2_1+\sigma^2_2}

This implies that

\dfrac{d}{da}(V \ \hat \theta_3)|_{a = \hat a} = 2 \ \sigma_1^2 + 2 \ \sigma_2^2 > 0

So, V( \hat \theta_3) is minimum when \hat a = \dfrac{\sigma_2^2}{\sigma_1^2+\sigma_2^2}

As such; a = \dfrac{1}{2}       if   \sigma_1^2 \ \ =  \ \  \sigma_2^2

4 0
3 years ago
Which expression has a value of 15, using only four 4s and any of the following: + , – , · , ÷, exponents, and/or parentheses?
Yuliya22 [10]
4x4-(4/4)

4 times four equals 16 4 divided by four is one sixteen minus one is fifteen
4 0
3 years ago
An item is priced at $13.12. If the sales tax is 5%, what does the item cost including sales tax?
disa [49]

Answer:

$13.78

Step-by-step explanation:

to get the tax, you multiply $13.12 by 0.05, which would be 0.656. then you add that to the original price of 13.12 and round it up to get your answer

7 0
3 years ago
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