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zubka84 [21]
3 years ago
5

(x + 40) (3x) What is value of x

Mathematics
1 answer:
EastWind [94]3 years ago
7 0

Answer:

Step-by-step explanation:

multiply both sides  by 3x

3[x+40]x[x+40]

3x +120+x(square)+40x

43x+120+x(square)

quadractic equation

x(square)+43x+120

(x+40x+)(3x+120)

x(1+40)3(1+40)

x:3 or 40

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Zoey made 6 3/4 cups of fruit salad for a picnic. At the picnic, they ate 1/3 of the fruit salad. How much of the fruit salad di
Aleks04 [339]

Answer:

9/4 cups

Step-by-step explanation:

6 3/4 = 27/4

27/4 * 1/3 = 27/12

27/12 = 9/4

4 0
3 years ago
Perform the subtraction 33.5 - 6.02
fredd [130]
33.50 - 6.02 = 27.48
3 0
3 years ago
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
Suppose that in a random selection of 100 colored​ candies, 26​% of them are blue. The candy company claims that the percentage
quester [9]

Answer:  a) -0.2252, b) 0.8219

Step-by-step explanation:

Since we have given that

Sample size n = 100

Probability that candies are blue = p= 0.26

Probability that company claims that it is blue candy = P = 0.27

So, Q = 1-P= 1-0.27 = 0.73

So, Null hypothesis : H_0:p=P

Alternate hypothesis : H_1:p\neq P

So, the test statistic would be

z=\dfrac{p-P}{\sqrt{\dfrac{P.Q}{n}}}\\\\z=\dfrac{0.26-0.27}{\sqrt{\dfrac{0.27\times 0.73}{100}}}\\\\z=-0.2252

Since α = 0.05

So, critical value of z = 1.96

p-value = P(Z>Z(calculated)

Using the excel function , we get that

P(z>0.2252)\\\\=2\times 0.410.911845\\\\=0.8219

Hence, a) -0.2252, b) 0.8219

6 0
3 years ago
What's the answer please, I need help
mezya [45]

Answer:

Ano pong sa Sagutin diyan

Step-by-step explanation:

hindi ko op maintiddihan sorry po

3 0
3 years ago
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