The table below shows the students in an Algebra 1 class. What is the probability that a randomly chosen student will be a girl GIVEN that the student does NOT own a graphing calculator? (Note: If your fraction will reduce, you need to reduce it.)

Step-by-step explanation:

a drop in temperature means the temperature will decrease.

That decrease is represented with a negative integer which should be added to the previous temperature.

Answer:

498 m

Step-by-step explanation:

The AAA theorem states that triangles are similar if all three corresponding angles are equal.

1. Compare triangles FHS and ILS

(a) Reason for similarity

∠F = ∠I = 90°

∠S is common.

∴ ∠H = ∠L

(b) Calculate SL

[tex]\begin{array}{rcl}\dfrac{SF}{SH} & = & \dfrac{SI}{SL}\\\\\dfrac{225}{380} & = & \dfrac{225 + 475}{SL}\\\\225SL & = & 380 \times 700\\& = & 266000\\SL & = & \textbf{1182 m}\\\end{array}[/tex]

2. Compare triangles ILS and GLE

(a) Reason for similarity

∠I = ∠G = 90°

∠L is common.

∴ ∠S = ∠E

(b) Calculate LE

[tex]\begin{array}{rcl}\dfrac{IS}{GE} & = & \dfrac{LS}{LE}\\\\\dfrac{700}{180} & = & \dfrac{1182}{LE}\\\\700LE & = & 180 \times 1182\\& = & 212800\\LE & = & \textbf{304.0 m}\\\end{array}[/tex]

3. Calculate EH

               LE + EH + HS = LS

304.0 m + EH + 380 m = 1182 m

                  EH + 684 m = 1182 m

                                 EH = 498 m

The distance from E to H is 498 m.

Answer:

No there is not  enough evidence to support the claim that the mean expenditure for auto insurance is less than the 2002 amount at the α = 0.05 level of significance

Step-by-step explanation:

Sample Mean = μ1 = $806

Sample Mean = μ2 = $ 781

Standard Deviation= S= σ =39.13

n= 32

Confidence Interval = 95 %

α= 0.05

z∝=± 1.96

We state the null and alternative hypotheses as

H0: μ1 = $806  and Ha: μ1 ≠ $806  two sided tail test

z= μ1 -μ2/σ/√n

z= 806-781/ 39.13/√32

z= 806-781/ 39.13/5.6568

z=806-781/ 6.92

z= 25/6.92

z= 3.613

Z> z∝

3.613 > ± 1.96

No there is not  enough evidence to support the claim that the mean expenditure for auto insurance is less than the 2002 amount at the α = 0.05 level of significance

Answer:

x= -1 or x= 2

Step-by-step explanation:

Answer:

Remember to round!

Hey there!

We see that the first factor is 82.17, which is about 80. Then, we have 7.32, which is about 7.

80 times 7 is just doing 8 times 7 but putting a zero on the end!

So, 80 times 7 is 560, so our best estimate is A.560

Have a wonderful day!

Answer:

[tex]x^4 + 4x^3 + 6x^2 + 7x + 2[/tex]

Step-by-step explanation:

We are asked to multiply the given polynomials.

[tex](x^ 2 + 3x + 1) \times (x^2 + x + 2)[/tex]

Multiply each term of the first polynomial to each term of the second polynomial.

[tex]x^ 2 \times (x^2 + x + 2) = x^4 + x^3 + 2x^2[/tex]

[tex]3x \times (x^2 + x + 2) = 3x^3 + 3x^2 + 6x[/tex]

[tex]1 \times (x^2 + x + 2) = x^2 + x + 2[/tex]

Add the results

[tex](x^4 + x^3 + 2x^2) + (3x^3 + 3x^2 + 6x) + ( x^2 + x + 2)[/tex]

Combine the like terms

[tex]x^4 + 4x^3 + 6x^2 + 7x + 2[/tex]

The answer is written in descending powers of x.

Answer:

Step-by-step explanation:

(0+2)/(0-10)= 2/-10 = -1/5

y - 0 = -1/5(x - 0)

y = -1/5x

solution is D

Answer:

The answer is b

Step-by-step explanation:

since 2*9=18 and (x)(2x+3)=2x^2+3x

Answer: B

Step-by-step explanation:

Answer:

260%

Step-by-step explanation:

For the coffee;

cost price ([tex]C_{P}[/tex]) = $5/kg

selling price ([tex]S_{P}[/tex]) = $18/kg

Percentage profit (%P) = [tex]\frac{S_P - C_P}{C_P} * 100%[/tex] %

Substitute the right values into the above;

%P = [tex]\frac{18 - 5}{5} * 100%[/tex] %

%P = [tex]\frac{13}{5} * 100%[/tex] %

%P = 260%

Therefore, the percentage profit compared to the original cost of the coffee is 260%

Answer:

64

Step-by-step explanation:

Supplementary angles add up to 180. Since you are given one, just subtract 116 from 180 to get 180 - 116 = 64.

Answer:

5[tex]\sqrt{2}[/tex]

Step-by-step explanation:

The diagonal divides the square into 2 right triangles.

let s be the side of the square with the diagonal being the hypotenuse.

Applying Pythagoras' identity to one right triangle, gives

s² + s² = 10² , that is

2s² = 100 ( divide both sides by 2 )

s² = 50 ( take the square root of both sides )

s = [tex]\sqrt{50}[/tex] = [tex]\sqrt{25(2)}[/tex] = [tex]\sqrt{25}[/tex] × [tex]\sqrt{2}[/tex] = 5[tex]\sqrt{2}[/tex]

Step-by-step explanation:

We will use the Thales theorem since ED and CB are parallel and A,D and B are in the same lign wich is the same for C,E and A

since we have two similar sides and one similar angle between them it will be SAS similarity

Answer:

I think positive

Step-by-step explanation:

Answer:

zero, D

Step-by-step explanation:

a horizontal line (left to right) would be zero

a verticle line (up and down) would be undifined

Answer:

x² - 20 = 0

Using the quadratic formula

[tex]x = \frac{ - b± \sqrt{( {b})^{2} - 4ac } }{2a} [/tex]

a = 1 b = 0 c = -20

So we have

[tex]x = \frac{ - 0 ± \sqrt{ {0}^{2} - 4(1)( -20)} }{2(1)} \\ \\ x = \frac{± \sqrt{80} }{2} \\ \\ x = \frac{±4 \sqrt{5} }{2} \\ \\ \\ x = ±2 \sqrt{5} \\ \\ \\ x = 2 \sqrt{5} \: \: \: or \: \: \: x = - 2 \sqrt{5} [/tex]

Hope this helps you.

Answer:

a) x° = 108°

b) vertically opposite angles (C) justifies my answer.

Answer:

The answer is option c.

Its an vertically opposite angle because when two lines intersect eachother then theangles formed opposite to it is called v.o.a (vertically opposite angle)

Hope it helps...

Answer:

Step-by-step explanation:

You're given a coordinate in the form of (x, y) and you're also given the vertex in the form of (h, k). We will use those in the vertex form of the equation

[tex]y=a(x-h)^2+k[/tex] and solve for a. Filling in:

[tex]-11=a(4-2)^2-3[/tex] which simplifies a bit to

[tex]-11=a(2)^2-3[/tex] and a bit more to

[tex]-11=4a-3[/tex]. Add 3 to both sides to get

-8 = 4a so

a = -2

The equation, then, is

[tex]y=-2(x-2)^2-3[/tex]

Answer:

50

Step-by-step explanation:

Answer:

The range consists of all real numbers where y ≠ 0

Step-by-step explanation:

reciprocal parent function is y = 1/x

If y = 0, then 1 would have to be divided by a number to equal 0. This would require x to equal a number that can divide 1 to equal 0. Because this is not possible, y cannot be 0.  

Answer:

Step-by-step explanation:

[tex]Using\: A \: as\: a\: refernce\: angle ;\\Hypotenuse = 29\\Opposite =21\\Adjacent = 20\\\\Using \: SOHCAHTOA\\Sin A = \frac{Opposite}{Hypotenuse} \\\\Sin A = \frac{21}{29}[/tex]

Answer:

1st one= B 25 cents

2nd one= D 2 miles

Step-by-step explanation:

1.

8x3=24

6/24=25

= 25 cents

2.

1.6 km= 1 mile

so 1/2 of a mile =

0.8 km

1/4 of an hour = 15 minutes

0.8km= 15 minutes

15x3= 45  minutes

0.8km x 3= 2.4km

2.4km = 2 miles

hope it helps hunney xx

Answer:

The mean pressure applied to the driver’s head during a crash test is not significantly different for each type of car.

Step-by-step explanation:

A one-way ANOVA is used to test whether there is significant difference between the means for more than two groups.

In this case we need to test whether the mean pressure applied to the driver’s head during a crash test is significantly different for each type of car.

So, a one-way ANOVA would be used.

The hypothesis can be defined as follows:

H₀: There is no difference between the means, i.e. [tex]\mu_{1}=\mu_{2}=\mu_{3}[/tex]

Hₐ: There is a significant difference between the means, i.e. at least one of the mean is different.

Use MS-Excel to perform the ANOVA test.

Go to Data – Data Analysis – Anova: Single Factor

Enter the data and enter Alpha as 0.05.

Press OK.

The output is attached below.

The F-test statistic value is, F = 5.143.

The p-value of the test is, p-value = 0.072.

Decision Rule:

If the p-value of the test is less than the significance level then the null hypothesis will be rejected.

p-value = 0.072 > α = 0.05

The null hypothesis will not be rejected.

Conclusion:

The mean pressure applied to the driver’s head during a crash test is not significantly different for each type of car.

Answer:

a proper fraction

Answer:

25,217,091

Step-by-step explanation:

4551 * 5541 = 25,217,091

Answer:

4551*5541=25217091

Step-by-step explanation:

Answer:

76.9

Step-by-step explanation:

tan(α) = opposite leg/adjacent leg

tan(70°) = x/28

x = 28* tan(70°) = 76.9

Answer:

76.9  or 77

Step-by-step explanation:

tan(α) = opposite leg/adjacent leg

tan(70°) = x/28

x = 28* tan(70°) = 76.9

Answer:

The correct option is;

(2·x - y = -2 and 22·x + 10·y = 7)

2 x minus y = negative 2 and 22 x + 10 y = 7

Step-by-step explanation:

2x - y = -2.........(1)

3x + 2y = 5.......(2)

4x - y = 2..........(3)

22x + 10y = 7...(4)

Given that the solution of the system of equation is (-0.3, 1.4), we have;

The system of equations consist of those equations that pass through the point (-0.3, 1.4)

We check as follows;

Equation (1)

2×(-0.3) - 1.4 = -2

Therefore, equation (1) passes through the point (-0.3, 1.4) and is one of the equations

Equation (2)

3×(-0.3) + 2×1.4 = 1.9 ≠ 5

Equation (2) is not part of the system of equations

Equation (3)

4×(-0.3) - 1.4 = -2.6 ≠2

Equation (3) is not part of the system of equations

Equation (4)

22×(-0.3) + 10×1.4 = 7.4 ≈ 7

Therefore, equation (4) approximately passes through the point (-0.3, 1.4) and is one of the equations

The correct option is A. [tex]2x - y = -2\ and 22x + 10y = 7.[/tex]

Given equations,

[tex]2x - y = -2.........(1)[/tex]

[tex]3x + 2y = 5.......(2)[/tex]

[tex]4x - y = 2..........(3)[/tex]

[tex]22x + 10y = 7...(4)[/tex]

Since the solution of the system of equation is [tex](-0.3, 1.4),[/tex]  Hence the system of equation satisfy the above point.

Now check all the equations,

Equation (1),

[tex]2\times(-0.3) - 1.4 = -2\\-0.6-1.4=-2\\-2.0=-2[/tex]

Hence, equation (1) passes through the point[tex](-0.3, 1.4)[/tex]  and is one of the equations.

Similarly, Equation (2)

[tex]3\times (-0.3) + 2\times1.4 = 5\\-0.9+2.8=5\\1.9=5\\[/tex]

Hence the above equation does not satisfy the solution, so it is not the other system of equation.

Now, Equation (3)

[tex]4\times(-0.3) - 1.4 = -2.6 \neq 2[/tex]

Hence Equation (3) is not part of the system of equations.

Now, Equation (4)

[tex]22\times (-0.3) + 10\times1.4 = 7.4[/tex]

Hence the above equation approximately passes through the solution[tex].(-0.3, 1.4)[/tex] and is one of the equations.

Hence the required system of equation is  [tex]2x - y = -2[/tex] and [tex]22x + 10y = 7[/tex].

Therefore the correct option is A.

For more details follow the link:

https://brainly.com/question/2263981

Answer:

yeah....same!

Step-by-step explanation:

I'm having the same problem I thought it was just me