40 students, 21 like math, 18 like science, of those who like math, 14 also like science. how many students like neither science or math

Answer:

If q:3x-4=20 then p:2x=16

Step-by-step explanation:

We are given that two statement p and q

p:2x=16

q:3x-4=20

We have to find the converse of given statements.

Converse:

If p then q.

Converse statement

If q then p.

[tex]q\implies p[/tex]

Therefore, definition of converse

q: 3x-4=20

p: 2x=16

If q:3x-4=20 then p:2x=16

The speed of the snail, in meters per hour 3 3/5 meters/hour.

Given that, a snail can move 3/10 of a meter every 1/12 hour.

We need to find the speed of the snail, in meters per hour.

Speed tells us how fast something or someone is travelling. You can find the average speed of an object if you know the distance travelled and the time it took. The formula for speed is Speed = Distance ÷ Time.

Now, speed = 3/10 ÷ 1/12

=3/10 × 12/1

=18/5

=3 3/5

Therefore, the speed of the snail, in meters per hour 3 3/5 meters/hour.

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Janine held 940 shares after the split. The post-split price per share was $34.74. The split was a monetary non-event as the total value of Janine's shares remained the same.

A 2-for-1 split means that for every one share of stock owned, an investor receives two shares in return. In this case, Janine had 470 shares before the split. After the split, she would have 470 x 2 = 940 shares.

The pre-split price per share was $69.48. Since the split was 2-for-1, the post-split price per share would be $69.48 / 2 = $34.74.

To show that the split was a monetary non-event for Janine, we can calculate the total value of her shares before and after the split. Before the split, Janine's shares were worth 470 x $69.48 = $32,621.60. After the split, her 940 shares would be worth 940 x $34.74 = $32,621.60. Therefore, the total value of her shares remained the same.

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The answer is provided in the image attached.

Have a great day!

In this case, Joanne's interest earned by depositing $4,300 into a one-year CD at a rate of 4.3%, compounded daily can be calculated by plugging the values into the formula.

To calculate the interest earned, use the formula for compound interest: I = P(1 + r/n)^nt - P, where I is the interest earned, P is the principal amount, r is the interest rate, n is the number of times the interest is compounded per time period, and t is the number of time periods.

Substitute the values into the formula to find the interest earned: I = $4,300(1 + 0.043/365)^(365*1) - $4,300

Answer:

15%

Step-by-step explanation:

Before a sale, an item’s price was $38.00.

Original price, p = $38.00

After the sale discount, the price became $32.30.

After discount price, q = $32.30

Difference of sale = 38.00 - 32.30

                            = $5.70

% of sale distance [tex]=\dfrac{difference}{original price}\times 100[/tex]

                              [tex]=\dfrac{5.70}{38.00}\times 100[/tex]

                              [tex]=15\%[/tex]

Hence, The sale discount is 15%

Before a sale, an item’s price was $38.00. After the sale discount, the price became $32.30. The percentage of the sale discount is 15%.

A percentage is a minimum number or ratio that is measured by a fraction of 100.

Before a sale, an item’s price was $38.00.

Original price, p = $38.00

After the sale discount, the price became $32.30.

After discount price, q = $32.30

Difference of sale = 38.00 - 32.30

                           = $5.70

The percent of the sale discount = difference/ original  x 100

                                                      = 5.70 / 38.00  x 100

                                                      = 15%

Thus, The percentage of the sale discount is 15%.

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multiply $9 by 80%

80% = 0.80

9 * 0.8 = 7.20

 subtract that from original price

9 - 7.20 = 1.80

 Sale price is $1.80

Answer:

[tex]y-(-1)=-\frac{2}{7}(x-(-4))[/tex]

Step-by-step explanation:

We know that the line passes through (-4,-1) and (3,-3), where [tex](x_{1} ,y_{1} )[/tex] is [tex](-4,-1)[/tex] and [tex](x_{2} ,y_{2} )[/tex] is [tex](3,-3)[/tex].

First, we need to find the slope with the formula

[tex]m=\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

Replacing given points

[tex]m=\frac{-3-(-1)}{3-(-4)}=\frac{-3+1}{3+4}=\frac{-2}{7}[/tex]

Then, we use the slope, one point and the slope-point form

[tex]y-y_{1} =m(x-x_{1} )\\y-(-1)=-\frac{2}{7}(x-(-4))\\ y+1=-\frac{2}{7}x+\frac{8}{7} \\y=-\frac{2}{7}x+\frac{8}{7}-1\\y=-\frac{2}{7}x+\frac{8-7}{7} \\y=-\frac{2}{7}x+\frac{1}{7}[/tex]

The slope-intercept form is

[tex]y=-\frac{2}{7}x+\frac{1}{7}[/tex]

The point-slope form is

[tex]y-(-1)=-\frac{2}{7}(x-(-4))[/tex]

Answer:  The required solutions of the given equation are

[tex]x=\pm\sqrt7,~\pm\sqrt2i.[/tex]

Step-by-step explanation:  We are given to find the solutions of the following bi-quadratic equation :

[tex]x^4-5x^2-14=0~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)[/tex]

Let us consider that

[tex]x^2=y~~~~~\Rightarrow x^4=y^2.[/tex]

So, equation (i) becomes

[tex]y^2-5y-14=0,[/tex]

which is a quadratic equation in the variable y. The above equation in variable y can be solved using factorization as follows :

[tex]y^2-5y-14=0\\\\\Rightarrow y^2-7y+2y-14=0\\\\\Rightarrow y(y-7)+2(y-7)=0\\\\\Rightarrow (y-7)(y+2)=0\\\\\Rightarrow y-7=0,~~~y+2=0\\\\\Rightarrow y=7,-2.[/tex]

Therefore, we get

[tex]x^2=7\\\\\Rightarrow x=\pm\sqrt7[/tex]

and

[tex]x^2=-2\\\\\Rightarrow x=\pm\sqrt{-2}\\\\\Rightarrow x=\pm\sqrt2i,~~~~~~~~~~~~~[\textup{where }i=\sqrt{-1}][/tex]

Thus, the required solutions of the given equation are

[tex]x=\pm\sqrt7,~\pm\sqrt2i.[/tex]

The profit function, p(x) is the difference between the revenue and cost function of the shirt sales, Hence, the profit function is 8x - 20

Given the Parameters :

The profit function can be expressed thus ::

P(x) = R(x) - C(x)

P(x) = 15x - (7x + 20)

P(x) = 15x - 7x - 20

P(x) = 8x - 20

Therefore, the profit function is 8x - 20.

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Final answer:

The probability of obtaining exactly 2 heads when a fair coin is tossed 4 times is 3/8.

Explanation:

To find the probability of obtaining exactly 2 heads when a fair coin is tossed 4 times, we need to determine the number of ways to get 2 heads out of 4 tosses and divide it by the total number of possible outcomes.

Step 1: Determine the number of ways to get exactly 2 heads.

There are four coin tosses, and we want 2 of them to be heads. We can choose the positions for the 2 heads out of the 4 tosses in 4C2 = 6 ways.

Step 2: Determine the total number of possible outcomes.

Each coin toss has two possible outcomes: heads or tails. Since there are 4 tosses, the total number of outcomes is 24 = 16.

Step 3: Calculate the probability.

The probability of obtaining exactly 2 heads is 6/16 = 3/8.

Answer:

66º

Step-by-step explanation:

From the picture we know that AB║CD. Therefore, the line BD is a transversal line between two parallels.

We know that in these cases, the alternate interior angles are the same.

In the picture, angle 1 and the angle that measures 66º are alternate interior angles. Therefore, angle 1 measures 66º as well.

∠1 = 66º

Answer:

21 inches is right i just took the e2020 assignment

Step-by-step explanation: