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kirill115 [55]
3 years ago
6

31. Dorothy buys her groceries online. The total cost that Dorothy pays is the sum of the

Mathematics
1 answer:
raketka [301]3 years ago
5 0

Answer:

D) R = x + 6.1

Step-by-step explanation:

Let x represent groceries

R represents the total cost

Total cost = cost of groceries + flat rate shipping fee

R = x + 6.1

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The length of time a person takes to decide which shoes to purchase is normally distributed with a mean of 8.21 minutes and a st
madam [21]

Answer:

4.55% probability that a randomly selected individual will take less than 5 minutes to select a shoe purchase.

Since Z > -2 and Z < 2, this outcome is not considered unusual.

Step-by-step explanation:

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

If Z \leq 2 or Z \geq 2, the outcome X is considered to be unusual.

In this question:

\mu = 8.21, \sigma = 1.9

Find the probability that a randomly selected individual will take less than 5 minutes to select a shoe purchase.

This is the pvalue of Z when X = 5. So

Z = \frac{X - \mu}{\sigma}

Z = \frac{5 - 8.21}{1.9}

Z = -1.69

Z = -1.69 has a pvalue of 0.0455.

4.55% probability that a randomly selected individual will take less than 5 minutes to select a shoe purchase.

Since Z > -2 and Z < 2, this outcome is not considered unusual.

8 0
3 years ago
A couch went on a 16% off sale. The sale price is given as $1008. What was the original price of the couch?
scoray [572]

Answer:

1200 dollars

Step-by-step explanation:

x-0.16x=1008

.84x=1008

x=1200 dollars

4 0
2 years ago
How would I add the fractions?<br><br> <img src="https://tex.z-dn.net/?f=-2%2F5%20%2B%202%2F3p%20%2B1%2F3p%20%3D%202p%20-%2016%2
LiRa [457]
\bf -\cfrac{2}{5}+\cfrac{2}{3}p+\cfrac{1}{3}p=2p-\cfrac{16}{5}\implies \stackrel{\textit{LCD of 15}}{-\cfrac{2}{5}+\cfrac{2p}{3}+\cfrac{p}{3}}=\stackrel{\textit{LCD of 5}}{2p-\cfrac{16}{5}}&#10;\\\\\\&#10;\cfrac{(3\cdot -2)+(5\cdot 2p)+(5\cdot p)}{15}=\cfrac{(5\cdot 2p)-16}{5}&#10;\\\\\\&#10;\cfrac{-6+10p+5p}{15}=\cfrac{10p-16}{5}\impliedby \textit{now we cross-multiply}&#10;\\\\\\&#10;-30+50p+25p=150p-240\implies -30+240=150p-75p&#10;\\\\\\&#10;210=75p\implies \cfrac{210}{75}=p\implies \cfrac{14}{5}=p
8 0
3 years ago
Which of the following statements are true? Select all that apply.
Tom [10]

Answer: The statements in options 2 and 4 are true.

Explanation:

The LCM of two numbers is the smallest number that is multiple of both numbers.

The factor of 8 and 12 are,

8=2\times 2\times 2

12=2\times 2\times 3

Since 2 and 2 are common in both but 2 and 3 are not same, therefore the L.C.M. of 8 and 12 is,

L.C.M.(8,12)=2\times 2\times 2\times 3=24

Therefore the statement in option 1 is incorrect.

The factor of 6 and 9 are,

6=2\times 3

9=3\times 3

Since 3 is common in both but 2 and 3 are not same, therefore the L.C.M. of 6 and 9 is,

L.C.M.(6,9)=2\times 3\times 3=18

Therefore the statement in option 2 is correct.

The factor of 11 and 4 are,

11=1\times 11

4=2\times 2

Since all factor are different, therefore the L.C.M. of 11 and 4 is,

L.C.M.(11,4)=1\times 11\times 2\times 2=44

Therefore the statement in option 3 is incorrect.

The factor of 9 and 10 are,

9=1\times 9

10=2\times 5

Since all factor are different, therefore the L.C.M. of 9 and 10 is,

L.C.M.(9,10)=1\times 9\times 2\times 5=90

Therefore the statement in option 4 is correct.

4 0
3 years ago
Help please I need 5 points total. i need 2 to left of vertex. i need vertex. i need 2 to right of vertex. Please, quickly, I am
zlopas [31]

We are given with a quadratic equation which represents a Parabola , we need to find the vertex of the parabola , But let's recall that , For any quadratic equation of the form ax² + bx + c = 0 , the vertex of the parabola is given by ;

{\quad \qquad \boxed{\bf{Vertex = \left(\dfrac{-b}{2a},\dfrac{-D}{4a}\right)}}}

Where , D = b² - 4ac (Discriminant)

Now , On comparing the given equation with ax² + bx + c , we have

⇢⇢⇢ <em><u>a = 1 , b = - 10 , c = 2</u></em><em><u>7</u></em>

Now , Calculating D ;

{:\implies \quad \sf D=(-10)^{2}-4\times 1\times 27}

{:\implies \quad \sf D=100-108}

{:\implies \quad \bf \therefore \quad D=-8}

Now , Calculating the vertex ;

{:\implies \quad \sf Vertex =\bigg\{\dfrac{-(-10)}{2\times 1},\dfrac{-(-8)}{4\times 1}\bigg\}}

{:\implies \quad \sf Vertex = \left(\dfrac{10}{2},\dfrac{8}{2}\right)}

{:\implies \quad \bf \therefore \quad Vertex = (5,2)}

Hence , The vertex of the parabola is at (5,2)

Note :- As the Discriminant < 0 . So , the equation will have imaginary roots .

Refer to the attachment for the graph as well .

5 0
2 years ago
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