An article includes the accompanying data on compression strength (lb) for a sample of 12-oz aluminum cans filled with strawberry drink and another sample filled with cola. Beverage Sample Size Sample Mean Sample SD Strawberry Drink 10 530 23 Cola 10 553 16 Does the data suggest that the extra carbonation of cola results in a higher average compression strength? Base your answer on a P-value. (Use α = 0.05.)

Answers

Answer 1

Answer:

Step-by-step explanation:

This is a test of 2 independent groups. The population standard deviations are not known. Let μ1 be the mean compression strength from the extra carbonation of strawberry drink and μ2 be the mean compression strength from the extra carbonation of cola.

The random variable is μ1 - μ2 = difference in the mean compression strength from the extra carbonation of strawberry drink and the mean compression strength from the extra carbonation of cola.

We would set up the hypothesis.

The null hypothesis is

H0 : μ1 = μ2 H0 : μ1 - μ2 = 0

The alternative hypothesis is

H1 : μ1 < μ2 H1 : μ1 - μ2 < 0

This is a left tailed test.

Since sample standard deviation is known, we would determine the test statistic by using the t test. The formula is

(x1 - x2)/√(s1²/n1 + s2²/n2)

From the information given,

x1 = 530

x2 = 553

s1 = 23

s2 = 16

n1 = 10

n2 = 10

t = (530 - 533)/√(23²/10 + 16²/10)

t = - 2.6

The formula for determining the degree of freedom is

df = [s1²/n1 + s2²/n2]²/(1/n1 - 1)(s1²/n1)² + (1/n2 - 1)(s2²/n2)²

df = [23²/10 + 16²/10]²/[(1/10 - 1)(23²/10)² + (1/10 - 1)(16²/10)²] = 6162.25/383.752

df = 16

We would determine the probability value from the t test calculator. It becomes

p value = 0.0097

Since alpha, 0.05 > than the p value, 0.0097, then we would reject the null hypothesis. Therefore, at 5% significance level, the data suggests that the extra carbonation of cola results in a higher average compression strength.


Related Questions

In a survey of first graders, their mean height was 49.9 inches with a standard deviation of 3.15 inches. Assuming the heights are normally distributed, what height represents the first quartile of these students?

Answers

Answer:

Height = 47.77 inches

Step-by-step explanation:

We are given;

Mean = 49.9 in

Standard deviation;SD = 3.15 in

The first quartile is the 25th percentile, which means it's where 25% of the data falls.

Now from the normal distribution table attached, we can see that the z-value for 25% or 0.25 is approximately

-0.675.

To find the height that represents the first quartile of these students, we will use the formula;

z = (height - mean)/(SD)

Making height the subject ;

height = (z × SD) + mean

Plugging in the relevant values to obtain;

Height = (-0.675 × 3.15) + 49.9

Height ≈ 47.77 inches

What’s the correct answer for this question?

Answers

Answer:

C.

Step-by-step explanation:

It is the complement of the circle in the square

Okay,

Let the square be Universal set(U) and the circle be A

So

A complement = A' = U-A So

The shaded area is the complement of the circle

ASAP! GIVING BRAINLIEST! Please read the question THEN answer CORRECTLY! NO guessing. I say no guessing because people usually guess on my questions.

Answers

Answer:

Range : { -3,0,4,6}

Step-by-step explanation:

The range of the function is the output values

Range : { -3,0,4,6}

Answer:

C. {-3, 0 ,4, 6}

Step-by-step explanation:

→The range is the total of y-intercepts/outputs. In this case, looking at the function, you can see that the y-intercepts/outputs are 0, -3, 4, and 6.

→The others numbers are the x-intercepts/inputs, which would be the domain of the function.

Marcia's wages are £260 per week.
She wants to save some money to buy a computer.
The computer costs £218.
Marcia is going to save 5% of her wages each week.
How many weeks will it take her to save enough money to buy the computer?​

Answers

Answer:

17 weeks

Step-by-step explanation:

Please refer to the picture attached.

At the end of each week, she will be able to save 13 dollars. I'm the 17th week, whe will save more than 218 dollars and will be able to afford to buy the computer.

However, in 16th week, she will only save 208 dollars which is insufficient to buy the laptop.

Hence, u round up the value of x in order to get the answer.

Please answer this correctly

Answers

Answer:

[tex]11\dfrac{3}{8}\text{cm}[/tex]

Step-by-step explanation:

[tex]1\dfrac{5}{8}+2\dfrac{9}{16}+2\dfrac{9}{16}+4\dfrac{1}{8}=11\dfrac{3}{8}[/tex]

Hope this helps!

Consider triangle ABC. The legs have a length of 5 units each. Triangle A B C is shown. Angle A C B is a right angle. The lengths of sides A C and C B are 5. The length of the hypotenuse c is unknown. What is the length of the hypotenuse of the triangle? 5 units 5 StartRoot 2 EndRoot units 10 units 10 StartRoot 2 EndRoot units

Answers

Answer:

Hypotenuse = 5√2 units

Step-by-step explanation:

Triangle ABC:

The legs are 5 units each

Opposite = 5unit

Adjacent = 5unit

Triangle ACB:

lengths of sides A C and C B are 5

The legs are 5 units each

Leg =AC = Opposite = 5unit

Leg = CB = Adjacent = 5unit

The hypotenuse for both ∆ACB is unknown. Since ∆ACB is a right angled triangle, we would apply Pythagoras theorem to find the hypotenuse.

Using Pythagoras theorem:

Hypotenuse ² = opposite ² + adjacent ²

Hypotenuse ² = leg² + leg²

AB = hypotenuse in ∆ACB

AB² = 5² + 5²

AB² = 25+25 = 50

AB = √50 = √(25×2)

AB = 5√2

Hypotenuse = 5√2 units

Answer:

The answer is B! Person above me is right!

Step-by-step explanation:

College Algebra functions?

Answers

Answer:

See below.

Step-by-step explanation:

For the first one:

[tex]f(x)=\frac{4x+3}{5x+2}[/tex]        

[tex]f(\frac{1}{x})= \frac{4(\frac{1}{x})+3}{5(\frac{1}{x})+2 }[/tex]

First, multiply both top and bottom by [tex]x[/tex].

Thus:

[tex](\frac{4(\frac{1}{x})+3}{5(\frac{1}{x})+2 } )\cdot \frac{x}{x}[/tex][tex]=\frac{4+3x}{5+2x}[/tex]

It cannot be simplified further.

For the second one:

[tex]g(x)=\sqrt{x^2-8x}[/tex]

[tex]g(x-2)=\sqrt{(x-2)^2-8(x-2)}[/tex]

[tex]\sqrt{(x^2-4x+4)-8x+16}[/tex]

[tex]\sqrt{x^2-12x+20}[/tex]

And that cannot be simplified further.

Bromeliads are tropical flowering plants. Many are epiphytes that attach to trees and obtain moisture and nutrients from air and rain. Their leaf bases from cups that collect water and are home to larvae of many insects. As a preliminary to study of changes in the nutrient cycle, Jacqueline Ngai and Diane Srivastava examined the effects of adding nitrogen, phosphorus, or both to the cups. They randomly assigned 8 bromeliads growing in Costa Rica to each of four treatment groups, including an unfertilized control group. A monkey destroyed one of the plants in the control group, leaving 7 bromeliads in that group. Here are the numbers of new leaves on each plant over the seven months following fertilization:
Nitrogen Phosphorus Both Neither
16 14 14 11
15 14 16 13
15 14 15 16
17 11 14 15
17 13 14 15
18 12 13 11
18 15 17 12
13 15 14
(a) Give the degrees of freedom for the F statistic.
numerator degrees of freedom
denominator degrees of freedom
(b) Find the F-statistic. (Round your answer to two decimal places.)
F =
(c) Find the associated P-value. (Round your answer to four decimal places.)
(d) State conclusions. Select the correct answer.We have significant evidence at the 5% level that the means are not all the same.We do not have significant evidence at the 5% level that the means are not all the same..

Answers

Answer:

Step-by-step explanation:

Hello!

The variable of interest is

Y: number of new leaves of Bromeliads grown under different types of fertilization.

Factor: Type of fertilizer

Treatments: 1. Nitrogen, 2. Phosphorus, 3. Both, 4. Neither (control group)

To compare these four groups you have to conduct an ANOVA

The hypotheses are:

H₀: μ₁= μ₂= μ₃= μ₄

H₁: At least one population mean is different from the others.

α: 0.05

a)

The degrees of freedom of the F-statistic are:

[tex]F_{I-1;N-I}= F_{4-1;31-4}= F_{3;27}[/tex]

I= number of treatments

N= total number of experimental units (in all groups)

b)

SSTreatments= 39.37

SSError= 72.18

MSTreatments= SStreatments/DfTreatments= 39.37/3= 13.12

MSError=SSError/DfError= 72.18/27= 2.67

[tex]F= \frac{MS_{Treatments}}{MS_{Error}} = \frac{13.12}{2.67} = 4.91[/tex]

c)

This test is one-tailed to the right and so is the p-value:

P(F₃;₂₇≥4.91)= 1 - P(F₃;₂₇<4.91)= 1 - 0.9925= 0.0075

d)

The decision rule using the p-value is:

If p-value ≤ α, reject the null hypothesis.

If p-value > α, do not reject the null hypothesis.

The p-value is less than α, the test is significant at 5% significance level.

"We have significant evidence at the 5% level that the means are not all the same."

I hope this helps!

The National Cancer Institute estimates that 3.65% of women in their 60s get breast cancer. A mammogram can typically identify correctly 85% of cancer cases and 95% of cases without cancer. What is the probability that a woman in her 60s who has a positive test actually has breast cancer?

Answers

Answer:

39.17% probability that a woman in her 60s who has a positive test actually has breast cancer

Step-by-step explanation:

Bayes Theorem:

Two events, A and B.

[tex]P(B|A) = \frac{P(B)*P(A|B)}{P(A)}[/tex]

In which P(B|A) is the probability of B happening when A has happened and P(A|B) is the probability of A happening when B has happened.

In this question:

Event A: Positive test.

Event B: Having breast cancer.

3.65% of women in their 60s get breast cancer

This means that [tex]P(B) = 0.0365[/tex]

A mammogram can typically identify correctly 85% of cancer cases

This means that [tex]P(A|B) = 0.85[/tex]

Probability of a positive test.

85% of 3.65% and 100-95 = 5% of 100-3.65 = 96.35%. So

[tex]P(A) = 0.85*0.0365 + 0.05*0.9635 = 0.0792[/tex]

What is the probability that a woman in her 60s who has a positive test actually has breast cancer?

[tex]P(B|A) = \frac{0.0365*0.85}{0.0792} = 0.3917[/tex]

39.17% probability that a woman in her 60s who has a positive test actually has breast cancer

A water tower in New York City has the shape of a cylinder with a cone on top. The cylinder has a diameter of 12 feet and a height of 15 feet. The roof has an inclination angle of 25o . There are 7.48 gallons in a cubic foot. If residents of an apartment building are using the water from the tower at an average rate of 56 gallons per minute, determine how long, to the nearest minute, it will take to drain the entire tower.

Answers

Answer:

number of minutes to drain the entire tower = 241 minutes(nearest minutes)

Step-by-step explanation:

The water tower has the shape of  a cylinder with a cone on top . The volume of the water tower can be find when you find the sum of the volume of the cylinder and the cone.

Therefore,

volume of the cylinder = πr²h

where

r = 12/2 = 6 ft

h = 15 ft

volume = π × 6² × 15

volume = π × 36 × 15

volume of the cylinder = 540π

Volume of the cone = 1/3πr²h

r = 6 ft

Using tangential ratio we can find the height which is the opposite side of the triangle

tan 25° = opposite/adjacent

tan 25° = h/6

cross multiply

h = 6 tan 25°

h = 6 × 0.46630765815

h = 2.79784594893

h = 2.8 ft

volume of the cone  =  1/3πr²h

volume = 1/3 × π × 36 × 2.8

volume = 100.8π/3

volume = 33.6π

Volume of the tower system = 540π + 33.6π =  573.6π

volume of the tower system = 573.6 × 3.14 = 1801.104 ft³

1 cubic ft  = 7.48 gallons

1801.104 cubic fit = ? gallons

cross multiply

gallons = 1801.104 × 7.48

gallons = 13472.25792  gallons

The residents drains the water at the rate of 56 gallons per minute. Therefore,

56 gallons = 1 minutes

13472.25792  gallons = ? minutes

number of minutes = 13472.25792  /56

number of minutes = 240.576034286

number of minutes to drain the entire tower = 241 minutes(nearest minutes)

ASAP! GIVING BRAINLIEST! Please read the question THEN answer CORRECTLY! NO guessing. I say no guessing because people usually guess on my questions.

Answers

Answer:

C. [tex](f+g)(x)=-5^x-3x-6[/tex]

Step-by-step explanation:

→Set it up, like so:

[tex](-5^x-4)+(-3x-2)[/tex]

[tex]-5^x-4-3x-2[/tex]

→Add like terms (-4 and -2):

[tex]-5^x-3x-6[/tex]

Billy’s Restaurant ordered 200 flowers for Mother’s Day. They ordered carnations at

$1.50 each, roses at $5.75 each, and daisies at $2.60 each. They ordered mostly

carnations, and 20 fewer roses than daisies. The total order came to $589.50. Write

a system of linear equations that can be used to find c, the number of carnations, r,

the number of roses, and d, the number of daisies.

Answers

Answer:

c+r+d= 200

1.50c+5.75r+2.60d= 589.50

r=d-20

Step-by-step explanation:

From the information given you have that Billy's restaurant ordered roses, daisies and carnations that total 200 flowers. The first equation is:

c+r+d= 200

c= number of carnations

r= number of roses

d= number of daisies

Also, you can say that the sum of the results of multiplying the price of each flower for its quantity is equal to $589.50. The second equation is:

1.50c+5.75r+2.60d= 589.50

Besides, from the statement you know there are 20 fewer roses than daisies and from that you can write the third equation:

r= d-20

The system of linear equations that can be used to find c, the number of carnations, r,  the number of roses, and d, the number of daisies is:

c+r+d= 200

1.50c+5.75r+2.60d= 589.50

r=d-20


Simplify the expression
(8y^2)(-9y^2)​

Answers

Answer:

-72 y^4

Step-by-step explanation:

(8y^2)(-9y^2)​

Multiply the coefficients

8*-9 = -72

Add the exponents since the bases are the same

y^2 * y^2 = y^(2+2) = y^4

(8y^2)(-9y^2)​ = -72 y^4

The art teacher needs 70 markers for her classes. The markers come in packages of 15. How many packages of markers will the art teacher need to buy?

Answers

Answer:

5

Step-by-step explanation:

Take the number of markers and divide by the number in each package

70/15

4.6666repeating

Round to the nearest whole number to determine the number of packages

5

They will need to buy 5 packages

how much is 78ml when you turn it to litres

Answers

1000ML = 1 L

78ML ?

78*1/1000 = 0.078 L

1000ml= 1L
So, 78 * 1/1000= 78/1000= 0.078
Therefore, 78ml = 0.078 litres

During a trip, Amy had to take two different trains. Her first train traveled for 3 hours, and the second
train traveled for 4 hours. Combined, the trains traveled 625 miles.
If the equation 3m + 4n = 625 represents this situation, which statements are true regarding this
equation?
Select two that apply.
The variable m in the equation represents the speed of the first train.
The variable m in the equation represents the speed of the second train.
The variable n in the equation represents the speed of the second train.
The variable n in the equation represents the speed of the first train.
The variable m in the equation represents the number of hours Amy traveled on the
first train.
The variable n in the equation represents the number of hours Amy traveled on the
second train.

Answers

Answer:

Let's solve for m.

3m + 4n = 625

Step 1: Add -4n to both sides.

3m + 4n + −4n = 625 + −4n

3m = −4n + 625

Step 2: Divide both sides by 3.

3m/3 = 4n + 625/3

m = -4/3 n + 625/3

C) The variable m in the equation represents the number of hours Amy traveled on the

first train.

D) The variable n in the equation represents the number of hours Amy traveled on the

second train.

What are the answers to a b and c ?

Answers

4,3 is he answer for b and 3,2 for cccc

What is the range of the function f(x)= 1/2sin(2x-pi)

Answers

The answer is [-1/2-1/2]

The range of the function f(x) is [-1/2, 1/2].

What is the range of a function?

The range is the set of possible output values, which are shown on the y-axis. The range of a function, f is the set of all values f(x) , such that x is in the domain of f. Graphically speaking, the range is the set of all y such that (x,y) is a point on the graph of f.

For the given situation,

The function f(x) = 1/2sin(2x-π)

The graph below shows the range of the function f(x) = 1/2sin(2x-π) graphically.

As the range of sinx function is [-1, 1], the range of sin2x is also [-1, 1].

Let us consider [tex]\theta = 2x-\pi[/tex]

⇒ Then, [tex]sin \theta[/tex] lies in the range [tex][-1,1][/tex]

⇒ [tex]-1\leq sin(2x-\pi )\leq 1[/tex]

⇒ [tex](\frac{1}{2} )(-1)\leq sin(2x-\pi )\leq( 1)(\frac{1}{2} )[/tex]

⇒ [tex]\frac{-1}{2} \leq sin(2x-\pi )\leq\frac{1}{2}[/tex]

Hence we can conclude that the range of the function f(x) is [-1/2, 1/2].

Learn more about range of a function here

https://brainly.com/question/3112051

#SPJ3

In the figure below, the polygons are similar. Find the value of x and y. Have a nice day

Answers

Answer:

x is 4 and y is 3.

Step-by-step explanation:

The scale factor between the triangles is 2, as you can see. The hypotenuse of the small triangle is 5 while the hypotenuse of the larger one is 10, so the scale factor between the triangles is 2. This means you can divide the other leg lengths of the large triangle by 2 to find the lengths for the corresponding legs of the small one.

Find m A) 110
B) 222
C) 28
D) 82

Answers

Answer:

As angel WVU = angel WVF + angel FVU

Therefore angel WVF =152 - 70

so, angel WVF = 82

factor 9 - 6a - 24a^2

Answers

Answer:

[tex]3(-4a-3)(2a-1)[/tex]

Step-by-step explanation:

[tex]-24a^2-6a+9[/tex]

[tex](-12a-9)(2a-1)[/tex]

[tex]3(-4a-3)(2a-1)[/tex]

Answer:

−3(2a−1)(4a+3)

Step-by-step explanation:

9 - 6a - 24a^2

24a²-6a-9=

−3(2a−1)(4a+3)

We get this because −3(2a−1)(4a+3) equals out to 24a²-6a-9. If you need more explanation, reply to this answer.

A circle is centered on point BBB. Points AAA, CCC and DDD lie on its circumference.

If \blue{\angle ABC}∠ABCstart color #6495ed, angle, A, B, C, end color #6495ed measures 124^\circ124



124, degrees, what does \orange{\angle ADC}∠ADCstart color #ffa500, angle, A, D, C, end color #ffa500 measure?

Answers

Answer:

[tex]\angle ADC=62^\circ[/tex]

Step-by-step explanation:

Given the circle centered on point B with points A, C and D on its circumference.

[tex]\angle ABC[/tex] is the angle subtended by arc AC at the centre.

Since D is on the circumference, [tex]\angle ADC[/tex] is the angle subtended by arc AC on the circumference.

Circle Theorem: The measure of the angle subtended by an arc at the center is twice the measure of the angle subtended by same arc at the circumference.

By the theorem stated above:

[tex]\angle ABC = 2 X \angle ADC\\Since \angle ABC=124^\circ\\124^\circ = 2 X \angle ADC\\ \angle ADC=124^\circ \div 2\\\\ \angle ADC=62^\circ[/tex]

Answer:

The real answer is 20 its not that high of a number

Step-by-step explanation:

What can you conclude from a box plot where the length of the left box and whisker is the same as the length of the right box and whisker?

Answers

Answer/Step-by-step explanation:

The length of the boxes and whiskers of a box plot tells us more about the spread the data being represented is and as well as the shape of the spread.

Invariably, if the length of the left box and left whiskers is of the same length as the right box and right whiskers, this implies that the distribution of the data point is close to being symmetric, or approximately symmetrical.

What is the center of the circle and the radius
X2+y2-4x+12y-24=0

Answers

Answer:

Subtract

31

31

from both sides of the equation.

x

2

+

y

2

4

x

12

y

=

31

x2+y2-4x-12y=-31

Complete the square for

x

2

4

x

x2-4x

.

Tap for more steps...

(

x

2

)

2

4

(x-2)2-4

Substitute

(

x

2

)

2

4

(x-2)2-4

for

x

2

4

x

x2-4x

in the equation

x

2

+

y

2

4

x

12

y

=

31

x2+y2-4x-12y=-31

.

(

x

2

)

2

4

+

y

2

12

y

=

31

(x-2)2-4+y2-12y=-31

Move

4

-4

to the right side of the equation by adding

4

4

to both sides.

(

x

2

)

2

+

y

2

12

y

=

31

+

4

(x-2)2+y2-12y=-31+4

Complete the square for

y

2

12

y

y2-12y

.

Tap for more steps...

(

y

6

)

2

36

(y-6)2-36

Substitute

(

y

6

)

2

36

(y-6)2-36

for

y

2

12

y

y2-12y

in the equation

x

2

+

y

2

4

x

12

y

=

31

x2+y2-4x-12y=-31

.

(

x

2

)

2

+

(

y

6

)

2

36

=

31

+

4

(x-2)2+(y-6)2-36=-31+4

Move

36

-36

to the right side of the equation by adding

36

36

to both sides.

(

x

2

)

2

+

(

y

6

)

2

=

31

+

4

+

36

(x-2)2+(y-6)2=-31+4+36

Simplify

31

+

4

+

36

-31+4+36

.

(

x

2

)

2

+

(

y

6

)

2

=

9

(x-2)2+(y-6)2=9

This is the form of a circle. Use this form to determine the center and radius of the circle.

(

x

h

)

2

+

(

y

k

)

2

=

r

2

(x-h)2+(y-k)2=r2

Match the values in this circle to those of the standard form. The variable

r

r

represents the radius of the circle,

h

h

represents the x-offset from the origin, and

k

k

represents the y-offset from origin.

r

=

3

r=3

h

=

2

h=2

k

=

6

k=6

The center of the circle is found at

(

h

,

k

)

(h,k)

.

Center:

(

2

,

6

)

(2,6)

These values represent the important values for graphing and analyzing a circle.

Center:

(

2

,

6

)

(2,6)

Radius:

3

3

Answer:

center: (2,-6)

radius: 8

Step-by-step explanation:

trust me i checked khan academy

The product of two consecutive positive integers is 132. What are the integers?

Answers

Answer:

The integers are 11 and 12

Step-by-step explanation:

11 and 12 are consecutive positive integers, and 11 x 12 = 132.

Choose which reasoning process is shown in the following example. Explain your answer.
It can be shown that 1 + 2 + 3 + ... +n=
n(n+1)
2
This formula can be used to conclude that the sum of the first 600 numbers, 1+2+3+...+600, is the following.
600(600 + 1
2
600(601)
= 300(601), or 180,300
2
Choose the correct answer below.
O A. This is inductive reasoning because a specific conclusion is being proved from a general statement.
OB. This is deductive reasoning because a specific conclusion is being proved from a general statement.
OC. This is deductive reasoning because it is an educated guess to say that the formula can be used to calculate the sum of the first 600 numbers.
OD. This is inductive reasoning because it is an educated guess to say that the formula can be used to calculate the sum of the first 600 numbers.
Click to select your answer.

Answers

Answer:

OB

Step-by-step explanation:

When you deduct something it means an intelligent reasoning based on given information for prediction.

In the above case we have a given formula from which we can deduct the facts .

We see a general statement is given from there we get a specific value.

By the way the formula given meant n(n+2)/ 2

The correct option is B. This is deductive reasoning because a specific conclusion is being proved from a general statement. This is obtained by checking the requirements of deductive reasoning.

What is deductive reasoning ?Deductive reasoning is a process in which a conclusion is based on  multiple assertion that are generally taken to be true. Makes logical assertions based on a conclusion around the assertion.

Which reasoning process is shown in the given example?The given question is deductive reasoning by referring to the definition of deductive reasoning.In the question, a specific conclusion, that is, sum of first 600 numbers is being proved from a general statement, that is, sum of n numbers.

Hence this is deductive reasoning because a specific conclusion is being proved from a general statement.

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a bear travel 15km at an angle of 135 degrees from his den. it then travels for 3.7 km at an orientation of 55 degrees. the bear ends his trip walking 12 km at an orientation of 320 degrees. what distance is the bear from his den?

Answers

Answer:

30.7

Step-by-step explanation:

add  the 15,3.7 ,and the 12

Simplify the following expression.
(2x + 5) + (3x2 + 7x + 3)

Answers

Answer:

3x^2 + 9x + 8

Step-by-step explanation:

2x+5+3x^2+7x+3

2x+5+3x^2+7x+3

(3x^2)+(2x+7x)+ (5+3)

3x^2+9x+8

BC =
Round your answer to the nearest hundredth.
B
35°
6
А

Answers

Using the cosine ratio, the length of BC to the nearest hundredth is: 4.91.

What is the Cosine Ratio?

Cosine ratio is: cos ∅ = adjacent side/hypotenuse

Given the right triangle in the diagram above, thus:

∅ = 35°Adjacent = ? = BCHypotenuse = 6

Thus:

cos 35 = BC/6

BC = cos 35 × 6

BC = 4.91

Thus, using the cosine ratio, the length of BC to the nearest hundredth is: 4.91.

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What’s the correct answer for this?

Answers

Answer:

Tangent

Step-by-step explanation:

Tangent intersects a circle at exactly one point

tangent ...............
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