The slant asymptote of f(x)=(x^2-4x+1)/(2x-3)

IS THIS ANGLE ACUTE, RIGHT, OBTUSE , OR STRAIGHT?

oksian1 [2.3K]

Answer: Obtuse

Step-by-step explanation:

Acute angles are Between 0 and 90 degrees

Right angles are 90 degrees

Obtuse angles are 90-180 degrees

And straight angles are 180 degrees

Note: Between mean like Ex. between 1-10 it would be 2, 3, 4,... 8, 9

8 0

2 years ago

8.36 Football and Brain Size: Randomization Test Exercise 8.35 describes a study examining hippocampus volume in the brain betwe

erma4kov [3.2K]

Answer:

Since the calculated F= 2.8657 does not lie in the critical region F (2,2)≥ 19 we conclude that there no difference between the means.

Since the calculated F= 205.0819 lies in the critical region F(1,2) ≥ 18.51 we conclude that there is a difference between the standard deviations of the three groups.

The F- statistic for the observed data is 0.101 as calculated by F- test in excel.

Step-by-step explanation:

To conduct an ANOVA randomization test we perform anova without replication in excel.

The data for the test is

Mean Standard Deviation Sample Size

Never

Played Football 7602.5 1074 25

FB with no History 6459.2 779.9 25

FB with Concussion 5734.6 593.4 25

Total 6598.8 1133.5 75

Anova: Two-Factor Without Replication

SUMMARY Count Sum Average Variance

Row 1 2 8676.5 4338.25 21310656.13

Row 2 2 7239.1 3619.55 16127224.25

Row 3 2 6328 3164 13215968.72

Column 1 3 19796.3 6598.766667 886871.7433

Column 2 3 2447.3 815.7666667 58708.90333

ANOVA Table

Source Sum of Degrees Mean

of Variation Square of freedom Squares

SS df MS F P-value

B/w Rows 1401945.703 2 700972.8517 2.8657 0.259

B/w Col 50164633.5 1 50164633.5 205.0819 0.00484

Error 489215.59 2 244607.795

Total 52055794.79 5

Set up the null and alternate hypotheses :

H0 ; there's no difference between the means and

there's no difference between the standard deviations

against the claim

Ha: there's a difference between the means and

there's a difference between the standard deviations

The significance level is chosen at 0.05

The test statistics to use are

F1= estimated variance from Between Means/ estimated variance from Error SS

F1= s1²/s3²

F1= estimated variance from Between Standard Deviations / estimated variance from Error SS

F2- s2²/s3²

with υ1= (2,2) and υ2(1,2) degrees of freedom.

The critical regions for F (2,2)≥ 19 for 0.05 significance level

and F(1,2) ≥ 18.51 for 0.05 significance level

Since the calculated F= 2.8657 does not lie in the critical region F (2,2)≥ 19 we conclude that there no difference between the means.

Since the calculated F= 205.0819 lies in the critical region F(1,2) ≥ 18.51 we conclude that there is a difference between the standard deviations of the three groups.

The F- statistic for the observed data is 0.101 as calculated by F- test in excel.

7 0

2 years ago

Jessica and Martha each have a bag of cookies with unequal quantities. They have 30 cookies total between the two of them. Each

Basile [38]

Answer:

Part 1) The inequality that describes the relationship between the number of cookies each one of them has is $x^{2} -30x+224\geq 0$

Part 2) Jessica has at least 2 cookies more than Martha

Step-by-step explanation:

Part 1) Find the inequality that describes the relationship between the number of cookies each one of them has

Let

x----> the number of cookies when Jessica started

30-x ----> the number of cookies when Martha started

we know that

Each of them ate 6 cookies from their bag

so

The cookies left in each bag are

(x-6) ----> Jessica

and (30-x-6)=(24-x) ---> Martha

The product is equal to (x-6)(24-x)

The product of the number of cookies left in each bag is not more than 80.

so

$(x-6)(24-x)\leq 80\\ \\24x-x^{2}-144+6x\leq 80\\ \\-x^{2} +30x-144-80\leq 0\\ \\-x^{2} +30x-224\leq 0$

Multiply by -1 both sides

$x^{2} -30x+224\geq 0$

Part 2) Solve the quadratic equation

$x^{2} -30x+224\geq 0$

Solve by graphing

The solution is x=16 cookies

so

(30-x)=30-16=14 cookies

therefore

The number of cookies when Jessica started was 16 cookies

The number of cookies when Martha started was 14 cookies

The number of cookies left in each bag is equal to

Jessica

16-6=10 cookies

Martha

14-6=8 cookies

Jessica has at least 2 cookies more than Martha

7 0

2 years ago

Read 2 more answers

Multiply 0.35×0.003

eimsori [14]

Answer:

.000105

Step-by-step explanation:

How I got the answer was when I multiplied them together I got 00105, but you have 6 decimal spots, so the answer is .000105.

3 0

3 years ago

Read 2 more answers

PLz help with these questions. For questions 1 and 2 , write each expression using a single exponent. 1) x^9/x^2 2) h^14/h^5 F

Zepler [3.9K]

For questions 1 and 2 , write each expression using a single exponent.

$1) \ x^9:x^2=x^7\\
\\
2) \ h^{14}:h^{5}=h^9$

For questions 3 and 4, simplify each expression.

$3) \ 4^4:4^6=4^{-2}=\frac{1}{4^2}=\frac{1}{16}\\
\\
4) \ 5^0=1$

For questions 6-8, multiply the following polynomial.

$6) \ -2r(8r+5)=-16r^2-10r\\
\\
7) \ 4a(a^2+7a+4)=4a^3+28a^2+16a\\
\\
8) \ (2y-3)(3y-2)=6y^2-4y-9y+6=6y^2-13y+6$

4 0

2 years ago