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Mandarinka [93]
2 years ago
13

Select the problem that would help you use the distributive property to simplify the expression. Which shows the distributive me

thod?
14(4x + 8)
Question options are:

A. 14(4x) + 14(8)

B. 14 + 4x + 14 + 8
Mathematics
2 answers:
Tju [1.3M]2 years ago
5 0
Choice A shows the distributive property
ella [17]2 years ago
3 0

Answer:

A

Step-by-step explanation:

A. shows what the expression shows in a different format. you preform the multiplication step on either one and you get the same thing.

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The regular price of a child's entry ticket to a water park is $8 less than that for an adult's. The park offers half off all en
Kay [80]
The cost of 1 adult ticket in the off season is 42$, but it is asking for the child ticket's price so you would do 194-42 and you get 152. Then, you would divide 152/4 and you get 38 but this is during the off-season so you would double it and get 76.
The regular price for a child is 76$

But feel free to check my work :D

4 0
2 years ago
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Find two unit vectors orthogonal to both given vectors. i j k, 4i k
Maurinko [17]
The cross product of two vectors gives a third vector \mathbf v that is orthogonal to the first two.

\mathbf v=(\vec i+\vec j+\vec k)\times(4\,\vec i+\vec k)=\begin{vmatrix}\vec i&\vec j&\vec k\\1&1&1\\4&0&1\end{vmatrix}=\vec i+3\,\vec j-4\,\vec k

Normalize this vector by dividing it by its norm:

\dfrac{\mathbf v}{\|\mathbf v\|}=\dfrac{\vec i+3\,\vec j-4\,\vec k}{\sqrt{1^2+3^2+(-4)^2}}=\dfrac1{\sqrt{26}}(\vec i+3\,\vec j-4\vec k)

To get another vector orthogonal to the first two, you can just change the sign and use -\mathbf v.
6 0
3 years ago
Which ordered pair is generated from the equation shown below?
Sveta_85 [38]

Answer:

A

Step-by-step explanation:

let's try A. 3(3)+2=9+2=11

11=11

So A is right

7 0
3 years ago
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If the cost price of a bag is AED 2176 and its selling price is AED 2497 then find the profit
ICE Princess25 [194]

Answer:

321 AED

Step-by-step explanation:

2497 - 2176 = 321 AED

6 0
2 years ago
A certain disease occurs most frequently among older women. Of all age groups, women in their 60s have the highest rate of breas
Law Incorporation [45]

Answer:

The probability that a woman in her 60s has breast cancer given that she gets a positive mammogram is 0.0276.

Step-by-step explanation:

Let a set be events that have occurred be denoted as:

S = {A₁, A₂, A₃,..., Aₙ}

The Bayes' theorem states that the conditional probability of an event, say <em>A</em>ₙ given that another event, say <em>X</em> has already occurred is given by:

P(A_{n}|X)=\frac{P(X|A_{n})P(A_{n})}{\sum\limits^{n}_{i=1}{P(X|A_{i})P(A_{i})}}

The disease Breast cancer is being studied among women of age 60s.

Denote the events as follows:

<em>B</em> = a women in their 60s has breast cancer

+ = the mammograms detects the breast cancer

The information provided is:

P(B) = 0.0312\\P(+|B)=0.81\\P(+|B^{c})=0.92

Compute the value of P (B|+) using the Bayes' theorem as follows:

P(B|+)=\frac{P(+|B)P(B)}{P(+|B)P(B)+P(+|B^{c})P(B^{c})}

            =\frac{(0.81\times 0.0312)}{(0.81\times 0.0312)+(0.92\times (1-0.0312)}\\

            =\frac{0.025272}{0.025272+0.891296}

            =0.02757\\\approx0.0276

Thus, the probability that a woman in her 60s has breast cancer given that she gets a positive mammogram is 0.0276.

4 0
2 years ago
Read 2 more answers
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