Use technology to find points and graph the line -4y=-x+20

plotting on a graph

Answer:

30

Step-by-step explanation:

Permutation equation: [tex]\frac{n!}{(n-r)!}[/tex]

n = Total number of objects, r = Number of objects selected

[tex]_6P_2=\frac{6!}{(6-2)!}=30[/tex]

Given:

A solution of 60% fertilizer is to be mixed with a solution of 21% fertilizer to form 234 liters of a 43% solution.

To find:

The quantity of the 60% solution in the mixture.

Solution:

Let x be the quantity of the 60% solution and y be the quantity of the 21% solution.

Quantity of mixture is 234. So,

[tex]x+y=234[/tex]

[tex]x=234-y[/tex]                  ...(i)

The mixture has 43% fertilizer. So,

[tex]\dfrac{60}{100}x+\dfrac{21}{100}y=\dfrac{43}{100}\times 234[/tex]

Multiply both sides by 100.

[tex]60x+21y=10062[/tex]            ...(ii)

Using (i) and (ii), we get

[tex]60(234-y)+21y=10062[/tex]

[tex]14040-60y+21y=10062[/tex]

[tex]-39y=10062-14040[/tex]

[tex]-39y=-3978[/tex]

Divide both sides by -39.

[tex]\dfrac{-39y}{-39}=\dfrac{-3978}{-39}[/tex]

[tex]y=102[/tex]

Putting this value in (i), we get

[tex]x=234-102[/tex]

[tex]x=132[/tex]

Therefore, 132 liters of the 60% solution must be used.

Answer: y=29 / (4,29)

Step-by-step explanation:

By graphing [tex]f(x)=8x-3[/tex] and [tex]f(4)=0[/tex] on Desmos. You'll be able to find that when x is 4, y is 29.

Similarly, you can plugin 4 into the original equation ([tex]f(x)=8x-3[/tex]) Which looks like:

[tex]8(4)-3\\32-3=29[/tex]

Additionally, you can change [tex]f(x)=[/tex] to [tex]y=[/tex] as it is the exact same thing. With that in mind, you can do the same with [tex]f(x)=0[/tex] and just change it to x=4. As you're wanting to know what the y-value is when x=4.

Answer:

4x²-3x+c is our original equation

Step-by-step explanation:

we have an independent number I called this number c

put 4 from x and try to find c

f(4)=4*(4²)-3*(4)+c=0

we have to be careful about f(4) is 0

64-12+c=0 and c is -52 so our original equation is 4x²-3x-52

Answer:

400%

Step-by-step explanation:

Is means equals and of means multiply

16 = P *4

Divide each side by 4

16/4 = P4/4

4 = P

Change to a percent by multiply by 100 and adding the percent sign

400% = P

Answer:

Here both probabilities are not equal.

Therefore the die is not fair and biased.

Step-by-step explanation:

Now n= 1200 times and x = 419 times.

a) Empirical Probability:

         [tex]=\frac{x}{n} \\\\= \frac{419}{1200}\\ \\=0.349[/tex]

Probability = 0.349

b) Theoretical Probability:

                     [tex]=\frac{1}{6}[/tex]

Here both probabilities are not equal.

Therefore the die is not fair and biased.

Answer:

A. Fail to reject the claim that the average math SAT score is 498 when in fact it is not 498.

Step-by-step explanation:

Type II Error:

A type II error happens when there is a non-rejection of a false null hypothesis.

In this question:

The null hypothesis is H0​:μ=498.

Since there is a type II error, there was a failure to reject the claim that the average math SAT score is 498 when in fact it is not 498, and thus, the correct answer is given by option A.

Answer:

The bus will take 81 minutes to complete the trip.

Step-by-step explanation:

To determine how many minutes will the bus take to complete the trip if a bus completes half a trip at 40 km per hour and the other half at 50 km per hour, and the whole trip was 60 km, the following calculation must be performed:

60/2 = 30

30/40 = 3/4 of an hour = 45 minutes

30/50 = 3/5 of an hour = 36 minutes

45 + 36 = 81

Therefore, the bus will take 81 minutes to complete the trip.

Answer:

The answer is "0.07404893".

Step-by-step explanation:

Applying the binomial distribution:

[tex]n = 22\\\\p= 82\%=0.82\\\\q = 1-0.82 = 0.18\\\\[/tex]

Calculating the probability for not enough seats:

[tex]=P(X>20)\\\\= P(21) + P(22)\\\\[/tex]

[tex]= \binom{22}{21} (0.82)^{21}(0.18)^1+ \binom{22}{22} (0.82)^{22}(0.18)[/tex]

[tex]=0 .06134598+ 0.01270295\\\\=0.07404893[/tex]

Answer:

(f + g)(x) = 5x + 5

General Formulas and Concepts:

Algebra I

Step-by-step explanation:

Step 1: Define

Identify

f(x) = 2x + 3

g(x) = 3x + 2

Step 2: Find

Answer:

D. 75

Step-by-step explanation:

To find the possible number of teachers at the meeting, find which answer choice creates a whole number answer when calculating the 40% of teachers that are male and the 20% of them that teach math.

This number is answer choice D, 75.

40% of 75 is 30.

Of those 30 teachers, 20% of 30 is 6.

So, since each quantity is a whole number, this could be the possible number of teachers at the meeting.

The correct answer is D. 75

Answer:

[tex]f { - 1}^{} = \frac{1 - x}{x - 1} [/tex]

Step-by-step explanation:

bxhrrrhi5u44ftj7gttjoy

Answer:

x = (y+1)/y

xy = (y+1)

xy -y = 1

y(x-1)=1

y = 1/(x-1)

Step-by-step explanation:

Answer:

C) A​ one-tail test will be performed since the alternative hypothesis contains a​ "less than".

Step-by-step explanation:

Test may be categorized as being one tailed or two tailed depending on the inequality sign used when defining the hypothesis ` ; Hypothesis whereby the alternative hypothesis takes a not equal to (≠) are categorized as two talked as the direction of does not point to either the left or right. Conversely, alternative hypothesis which takes a less Than sign or takes a greater Than sign are classed as being one tailed as the they point to a specified direction..

For the scenario given : we are to test the claim that one is stronger than the other ;

For this knid if test it has been stated explicitly that one is greater than another ;

H0 : μ = μ

H0 : μ < μ

Answer:

43

Step-by-step explanation:

only 7 out of the 50 got both wrong

Answer:

Step-by-step explanation:

Write the options so they are homogeneous in content. • Use answers given in previous open-ended exams to provide realistic distractors. 2. Use a Question ...

Answer:

WE fail to reject the Null and conclude that ; Standard deviation of test hasn't decreased.

Step-by-step explanation:

The hypothesis :

H0 : σ = 13

H1 : σ < 13

Using the Chisquare Square statistic :

χ² = (n-1)*s²/σ²

Sample size, n = 25

s² = 6.0547²

σ² = 13²

χ² = (25 - 1)*6.0547² / 13²

χ² = 879.82541016 / 169

χ² = 5.206

The degree of freedom, df = 25 - 1 = 24

The Pvalue(5.206, 24) = 0.99981

Reject H0, if Pvalue < α ;

Since Pvalue > α ; WE fail to reject the Null and conclude that ; Standard deviation of test hasn't decreased.

Answer:

h) a+20 = 80 (vert. opp angles)

a = 60

i) 3a+48 = 180

3a = 132

a = 44

a) 3x + 2x = 180

5x = 180

x = 36

∡y = 72

∡z = 108

∡r = 144

∡x = 180-144 = 36

b) p:b = 3:1

4u = 180

u = 45

∡p = 135

∡b = 45

∡q = ∡p = 135 (vert. opp)

∡a = ∡b = 45 (vert. opp)

Answer:

hello,

as i have taken the time to draw the picture

Step-by-step explanation:

Answer:

x = 7

Explaination:

ABC = 40°

and BD bisects the angle so ABD = 20°

so 3x-1=20

solving for x gets us

x = 7

Answer:

A) R

Step-by-step explanation:

f(x) = 2 cos π x, but cos π = -1 therefore

f(x) = -2x, this is a line that has the slope m= -2, and goes trough the origin

the range is given by all the values of y so is R

This differential equation is separable:

(1 + y²) dx + (1 + x²) dy = 0

(1 + y²) dx = - (1 + x²) dy

dy/(1 + y²) = -dx/(1 + x²)

Integrating both sides gives

arctan(y) = -arctan(x) + C

and solving for y gives (over an appropriate domain)

y = tan(C - arctan(x))

(the domain being -1 ≤ y ≤ 1).

Answer:

H = V0y t - 1/2 g t^2     equation for vertical height of object with initial speed     (V0y = V0 sin theta)

If H is to be considered an absolute value from t = 0

h = H + 3 = V0y t - 1/2 g t^2  + 3  where h is height from ground

Answer:

The probability of making a correct random guess is 0.00053%.

Step-by-step explanation:

Since Clue is a board game in which you must deduce three details surrounding a murder, and in the original game of Clue, the guilty person can be chosen from 66 people, and there are 66 different possible weapons and 99 possible rooms, and at one point in the game, you have narrowed the possibilities down to 44 people, 55 weapons, and 77 rooms, to determine what is the probability of making a random guess of the guilty person, murder weapon, and location from your narrowed-down choices , and the guess being correct, the following calculation must be performed:

(1 / (44x55x77)) x 100 = X

(1 / 186,340) x 100 = X

0.0005366 = X

Therefore, the probability of making a correct random guess is 0.00053%.

Answer:

C. infinitely many

Step-by-step explanation:

If two equations in slope-intercept form have the same slope and y-intercept they must be the same line. Additionally, the solutions of a system of equations are wherever the two lines intersect. Since the lines are the same they must intersect at every point. Therefore, there are infinitely many solutions.

Since this is a right triangle, we can use one of the three main trigonometric functions: sine, cosine, or tangent.

Remember: SOH-CAH-TOA

Looking from the angle, we know the opposite side and want to know the adjacent side. Therefore, we should use the tangent function.

tan(61) = 47 / BC

BC = 47 / tan(61)

BC = 26.05 units

Hope this helps!

Answer:

BC = 26.05

Step-by-step explanation:

SOH CAH TOA

tan 61 = 47/BC

BC = 47/tan 61

Answer:

Step-by-step explanation:

a) 0.5*0.365=18.25%

b) (100%-20,7%-50%)=29.3

Answer:

g − 1 ( x ) =  x/ 5 +  2

Step-by-step explanation:

See the pic for solutions :)

Answer:

-3a² + 20a + 32

Step-by-step explanation:

(3a+4)(8-a)

24a - 3a² + 32 - 4a

-3a² + 24a - 4a + 32

-3a² + 20a + 32

Answer:

P(0 female undergraduate takes on debt) ;

0.00635

Step-by-step explanation:

Probability of taking on debt, p = 0.43

q = 1 - p = 1 - 0.43 = 0.57

Number of samples, number of trials, n = 9

To obtain the probability that none of the female undergraduate take on debt :

P(0 female undergraduate takes on debt)

P(x = 0) ; using the binomial probability relation :

P(x = x) = nCx * p^x * q^(n-x)

P(x = 0) = 9C0 * 0.43^0 * 0.57^(9-0)

P(x = 0) = 9C0 * 0.43^0 * 0.57^9

P(x = 0) = 1 * 1 * 0.006351461955384057

P(x = 0) = 0.006351461955384057

P(x = 0) = 0.00635

Answer:

[tex]\frac{dy}{dt}=304mi/h[/tex]

Step-by-step explanation:

From the question we are told that:

Height of Plane [tex]h=3mi[/tex]

Speed [tex]\frac{dx}{dt}=460mi/h[/tex]

Distance from station [tex]d=4mi[/tex]

Generally the equation for The Pythagoras Theorem is is mathematically given by

[tex]x^2+3^2=y^2[/tex]

For y=d

[tex]x^2+3^2=d^2[/tex]

[tex]x^2+3^2=4^2[/tex]

[tex]x=\sqrt{7}[/tex]

Therefore

[tex]x^2+3^2=y^2[/tex]

Differentiating with respect to time t we have

[tex]2x\frac{dx}{dt}=2y\frac{dy}{dt}[/tex]

[tex]\frac{dy}{dt}=\frac{x}{y}\frac{dx}{dt}[/tex]

[tex]\frac{dy}{dt}=\frac{\sqrt{7}}{4} *460[/tex]

[tex]\frac{dy}{dt}=304.2614008mi/h[/tex]

[tex]\frac{dy}{dt}=304mi/h[/tex]