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3 years ago

Solve the inequality -40 > -10k

1 answer:

4 0

Hi!

-40>-10k

Divide both sides by -10, and flip the inequality sign since we are dividing by a negative.

4<k

Have a nice day!

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Based on 2017 sales, the six top-selling compact cars are the Honda Civic, Toyota Corolla, Nissan Sentra, Hyundai Elantra, Chevr

fgiga [73]

Answer:

Pvalue = 0.020335

X² = 14.99

CONCLUSION: THERE IS DIFFERENCE IN MARKET SHARES

Step-by-step explanation:

H0 : there is no difference in market shares

H1: there is difference in market shares

Chisquare (X²) = (observed - Expected)²/ expected

Honda Civic - 0.20 * 400 = 80 : (98-80)^2 /80 = 4.05

Toyota Corolla - 0.17 * 400 = 68 : (72-68)²/68 = 0.235

Nissan Sentra - 0.12 * 400 = 48 : (54-48)²/48 = 0.75

Hyundai Elantra - 0.10 *400 = 40 : (44-40)²/40 = 0.4

Chevrolet Cruze - 0.10 * 400 = 40 : (42-40)²/40 = 0.1

Ford Focus - 0.08 * 400 = 32 : (25-32)²/32 = 1.531

Others - 0.23 * 400 = 92 : (65-92)²/92 = 7.924

X² = (4.05+0.235+0.75+0.4+0.1+1.531+7.924) = 14.99

The obtain the Pvalue ;

We use the Pvalue from Chisquare calculator :

Pvalue(14.99, 0.05, df= 6) = 0.020335

Decision region :

Reject H0 ; if Pvalue < α

THERE IS DIFFERENCE IN MARKET SHARES

Market share differences:

* 98/400 = 0.245,

0.245-0.20 = 0.045

* 72/400 = 0.18,

0.18 - 0.17 = 0.01

* 54/400 = 0.135,

0.135 - 0.12 = 0.015

* 44/400 = 0.11,

0.11 - 0.10 = 0.01

* 42/400 = 0.105

0.105 - 0.10 = 0.005

* 25/400 = 0.0625

0.0625-0.08 = -0.0175

* 65/400 = 0.1625

0.1625 - 0.23 = -0.0675

5 0

3 years ago

I need to divide a recipe in half that calls for 1/2 of a cup of sugar. How much sugar do I need?

ella [17]

Answer:

1/4 cup of sugar

Step-by-step explanation:

3 0

3 years ago

Read 2 more answers

To graph ( 0, 15 ) what is the only direction you will move

Dominik [7]

Answer:

you will only move 15 units up

Step-by-step explanation:

since the y is the only one that has a value, then you will have to focus more on the direction where the y will go. and since the y's value is positive then you will have to go upwards.

3 0

3 years ago

Pweaseee help!!!!!!!!!!!!!

juin [17]

Answer:

Andre.

Step-by-step explanation:

Andre's group was asked to write an expression equivalent to 5p²q + 7pq² - 10.

Andre gives the expression 7p²q + 7pq² - 1 - 2p²q - 9, which gives the expression 5p²q + 7pq² - 10.

Jill gives the expression 5p²q + 2 pq² - 6 + 5pq² - 3, which does not give the expression 5p²q + 7pq² - 10.

Now, Anuj gives the expression 4p²q + 7pq²- 7 + 2p²q - 3, which also does not give the expression 5p²q + 7pq² - 10.

Again, Marsha gives the expression 5p²q + 5 pq²- 10 + 3pq², which also does not gives the expression 5p²q + 7pq² - 10.

Hence, only Andre gives the correct expression. (Answer)

5 0

3 years ago

The profit, in dollars, of a small business can be modeled by the function P(x)=0.3x^2+7x-40, where c is the number of units sol

ra1l [238]

Answer:

The correct answer is 10 units.

Step-by-step explanation:

Profit function of a small business is given by P(x) = 0.3 $x^{2}$ + 7x - 40, where x is the number of units sold.

The small business intend to make a profit of $60.

To find out the number of units the business has to sell in order to have a profit of $60 is given by,

P(x) = 0.3 $x^{2}$ + 7x - 40 = 60

⇒ 0.3 $x^{2}$ + 7x - 100 = 0

⇒ 3 $x^{2}$ + 70x - 1000 = 0

⇒ x = -70 ± $\sqrt{(70)^{2} + 12000}$ × $\frac{1}{6}$

⇒ x = -70 ± 130 × $\frac{1}{6}$

⇒ x = 10 or - $\frac{200}{6}$

Quantity sold cannot be negative giving us the value of x as 10 units.

6 0

3 years ago