During week 3, Frank rode his bike about the same amount of time as week 1 and 2 combined. About how many hours did he ride his bike during week 3?

A 4 hours
B 4 hours
C 6 hours
D 7 hours
​

Answer:

a = 65 yd is the answer.

Step-by-step explanation:

a = ?

b = 72 yd

c = 97 yd

According to the Pythagoras theorem,

a² + b² = c²

a² + 72² = 97²

a² + 5184 = 9409

a² = 9409 - 5184

a² = 4225

a = 65 yd

∴ a = 65 yd is the length of the missing leg.

Answer: 1324 in^2

Step-by-step explanation:

Answer:

The probability that Delta car batteries last between three and four years

P(36≤X≤48) = 0.5188

The percentage of that Delta car batteries last between three and four years

P(3≤X≤4) = 52%

Step-by-step explanation:

Step(i):-

Given that the sample size n =12 -volt car batteries

Let  'X' be a Random variable in a normal distribution

Given that mean of the normal distribution = 45 months

Given that the Standard deviation of the normal distribution = 8months

Step(ii):-

Let  X₁ = 3 years = 12 × 3 = 36 months

[tex]Z_{1} = \frac{x_{1} -mean}{S.D} = \frac{36-45}{8} = -1.125[/tex]

Let X₂ = 4 years  = 12 × 4 = 48 months

[tex]Z_{2} = \frac{x_{2} -mean}{S.D} = \frac{48-45}{8} = 0.375[/tex]

Step(iii):-

The probability that Delta car batteries last between three and four years

P(36≤X≤48) = P(-1.125≤Z≤0.375)

                   = P(Z≤0.375) - P(Z≤-1.125)

                   = 0.5 +A(0.375) - (0.5-A(1.125)

                   = 0.5 + 0.1480 - (0.5 -0.3708)

                  = 0.1480 + 0.3708

                 = 0.5188

Final answer:-

The probability that Delta car batteries last between three and four years

P(36≤X≤48) = 0.5188

The percentage of that Delta car batteries last between three and four years

P(3≤X≤4) = 52%

Answer:

it is option C

Step-by-step explanation:

download  to help your work

1/ a cube and b to the power 4

9514 1404 393

Answer:

  11.1

Step-by-step explanation:

The tangent makes a right angle with the diameter at the point of tangency. So, the triangle is a right triangle, and the Pythagorean theorem can be used to find the length of x. The radius is shown as 7.1, so the diameter will be 14.2.

  x^2 + 14.2^2 = 18^2

  x^2 = 122.36

  x = √122.36 ≈ 11.1

The length of the tangent is about 11.1 units.

Answer:

66 students prefer the zoo

Step-by-step explanation:

I got it correct :)

Answer:

1

Step-by-step explanation:

36 months is equal to 3 years.

There are 12 months in a year.

36/12=3

3/3=1

Answer:

I think it's A, if you just subtract 25 from each top # you should get the right one

edit; yah it's A

Answer:

B is the correct answer

Step-by-step explanation:

Look at the graph. For every day, there should be 25 less containers of peanuts than popcorns. Let X represent popcorns. Everyday, X - 25 should be your amount of peanut containers.

Only A and B works, so now just add the total amount of containers for both peanuts and popcorns.

225 + 200 + 150 + 300 + 200 + 175 + 125 + 275 = 1650

Only B matches the description of 1650 total containers. So, B is your answer.

Answer:

(89.2 - 92.4) ± 1.666*√(3.1²/38 + 3.8²/37)

Step-by-step explanation:

Very clear deck :

n1 = 38

x1 = 89.2

s1 = 3.1

Sure seal

n2 = 37

x2 = 92.4

s2 = 3.8

Confidence interval for difference in sample means :

(X1 - X2) ± margin of error

(X1 - X2) ± Tcritical * sqrt(s1²/n1 + s2²/n2))

Using the degree of freedom calculator ; df = 70

Margin of Error : Tcritical * sqrt(s1²/n1 + s2²/n2))

Tcritical at 90% confidence interval, df = 70 = 1.688

Margin of Error = 1.666 * sqrt(3.1²/38 + 3.8²/37)

Confidence interval :

(89.2 - 92.4) ± 1.666*√(3.1²/38 + 3.8²/37)

Answer:

Y=-55x + 600

Step-by-step explanation:

The probability computed shows that the point estimate of the population is 6.2%.

Divide the number of events by the number of possible outcomes. After determining the probability event and its corresponding outcomes, divide the total number of ways the event can occur by the total number of possible outcomes.

a. The point estimate of the population will be calculated thus:

= 62% = 62/100 = 0.62

b. The margin of error of the population will be:

= z value × [✓0.62 × ✓0.38 / ✓200]

= 1.96 × (0.78 × 0.61 / 14.14)

= 0.0672

Therefore, the interval estimate is 6.72%.

c. The margin of error of the population proportion is found using half the range will be:

= [0.76 - 0.46] /2

= 0.30/2

= 0.15

d.  The community action group’s claim is likely based on either interval estimate of the true population proportion since the confidence interval value is greater than 0.45.

Find out more information about probability here:

brainly.com/question/24756209

#SPJ2

The required interest earned on $5,750 deposited into savings account for 3 1/2 years at an annual interest rate of 4.5% is $905.63.

Principal amount (p) = $ 5750, Rate = 4.5%
Tenure or time = 3 1/2 = 3.5 years. Interest earned to be determined.

Interest is the outlay you pay to borrow money. Interest is often deliberated as an annual percentage of a loan amount.

Here,
[tex]Interest = principle*rate*time[/tex]
Interest = 5750 * 4.5%*3.5
interest = 5750*0.045*3.5
             =  2587.75*3.5
             =  905.63
Intrest earned = $905.63 against $5,750 deposited into savings account for 3 1/2 years.

Thus, the required interest earned on $5,750 deposited into savings account for 3 1/2 years at an annual interest rate of 4.5% is $905.63.

Learn more about interest here:
https://brainly.com/question/13324776

#SPJ2

Answer: I think C.

Step-by-step explanation:

Answer:

A.

Step-by-step explanation:

42/48=7/8

40/48=5/6

(お役に立てれば！)

Answer:

The lateral surface area of a prism is the sum of the surface areas of the sides of the prism.

Since the bases of the prism are triangles, there are three sides. The area of each lateral is the product of a side of the triangle times the height of the prism.

We can express this as Lateral Surface Area LSA = (s1xh) + (s2xh) + (s3+h), where "s1, s2, s3" are the lengths of the sides of the triangle and "h" is the height of the prism.

We can factor out "h" to get LSA = hx(s1+s2+s3) where the factor "s1+s2+s3" is the perimeter of the triangle.

Solving for "h", we get h = LSA / (s1+s2+s3)

For your specific problem, h = 300 / (4 + 5 + 6) = 300 / 15 = 20

Answer:

Step-by-step explanation:

The answers is Scenic pathway has no sign up fee and a greater cost per day

Answer:

D

Step-by-step explanation:

This is a pythagoream thereom question, the area of a square can be found by multiplying the sides. All the sides of a sqaure are the same so we are basically sqauring the side lengths. That is where the [tex]BE^{2}[/tex] and [tex]BH^{2}[/tex] come from. The problem tells us that the area of the two small squares are equal to the one bigger square. And the area of the bigger sqaure can be found by squaring that side EH. So [tex]BE^{2}[/tex]+[tex]BH^{2} =EH^{2}[/tex].

Answer:

28 sets

Step-by-step explanation:

Because 10x3=30+73=103 then 103+200=303 keep that in mind then you    

                     ^

                 3 sets

Do 549-303=246=25 sets then 25 sets+3sets=28 sets

Answer:

Inequality: 10s + 273 ≥ 549

Answer: s ≥ 27.6

Step-by-step explanation:

Have a good day :)

Answer:

y = |x| - 4

Step-by-step explanation:

this translates the function y down by 4 as is required

Answer:

1.12838m or 1.13m

Step-by-step explanation:

hope this helps

Answer:

$24,992

Step-by-step explanation:

The equation for simple interest is I = PRT where I is the interest earned, P is the principal deposited/borrowed, R is the rate as a decimal, and T is time in years.

I = (17,600)(0.084)(5)

I = 7,392

The total amount that must be repaid is the interest + the principal:

7,392 + 17,600 = 24,992

Please let me know if you have questions

Answer:

a) Because both sides are perfect squares b) (x-4)² – 28 = 8

(x–4)² = 36

Square root both sides

√(x–4)² = √36

x–4 = 6

x= 10

Step-by-step explanation:

(x–4)(x–4) = 36

x² – 8x+ 16 = 36

x² – 8x – 20 = 0

(x² + 2x)( –10x – 20) = 0

x(x+2) – 10(x+2) = 0

(x+2)(x–10) = 0

x = 10 or –2

x = 10

a.  If the power of x is 2 then the value of x will be 2.

b.  The values of the x are 6 and -2.

Simplification is to make something easier to do or understand and to make something less complicated.

Given

The equation is [tex]\rm (x- 4)^2 - 28 = 8[/tex].

a.  If the power of x is 2 then the value of x will be 2. And in the equation the power of x is 2 then the solution for the x will be two.

b.  The equation is [tex]\rm (x- 4)^2 - 28 = 8[/tex].

On simplifying

Add 28 both the sides, we have

[tex]\rm (x- 4)^2 = 36[/tex]

Taking square root both the sides, then we have

[tex]\rm x- 4 = \pm 6[/tex]

Add 4 both the sides,

[tex]\rm x = \pm 6+ 4\\\\x = 6 + 4, - 6 + 4\\\\x = 10 , -2[/tex]

Thus, the values of x are 6 and -2.

More about the simplification link is given below.

https://brainly.com/question/12616840

Answer:

11

Step-by-step explanation:

Find the length of the hypotenuse of the right triangle with sides 9 and 6

[tex]a^{2} +b^{2} =c^{2} \\9^{2} +6^{2} =c^{2} \\81+31=c^{2} \\\sqrt{117} =c[/tex]

Use c and the height 2 to find the hypotenuse of the triangle with the dotted line

[tex]\sqrt{117} ^{2} +2^{2} =c^{2} \\117+4=c^{2} \\221=c^{2} \\11=c[/tex]

the dotted line is 11

Answer:

f(x)= 2 ³√x+4

Step-by-step explanation:

Thats the answer

The equation of the function is f(x) = 2∛x -4.

In mathematics, a function is an expression, rule, or law that establishes the relationship between an independent variable and a dependent variable. In mathematics, functions exist everywhere, and they are crucial for constructing physical links in the sciences.

We will take two points from the graph substitute in each function.

So, the points are (0, -4) and (1, -2).

1. f(x) = ∛x -4

For x= 0

f(x) = ∛0 -4 = -4

and, For x= 1

f(x) = ∛1 -4 = 1 -4 = -3  (False)

2. f(x) = 2∛x -4

For x= 0

f(x) = 2∛0 -4 = -4

and, For x= 1

f(x) = 2∛1 -4 = 2 -4 = -2 (True)

3. f(x) = 2∛x +4

For x= 0

f(x) = 2∛0+4 = 4

and, For x= 1

f(x) = 2∛1 +4 = 2+4 = 6 (False)

4. f(x) = ∛x +4

For x= 0

f(x) = ∛0 +4 = 4

and, For x= 1

f(x) = ∛1 +4 = 1 +4 = 5 (False)

Thus, the required function is f(x) = 2∛x -4.

Learn more about Function here:

https://brainly.com/question/12431044

#SPJ7

Answer:

x = 19

z = 102°

Step-by-step explanation:

✔️5x - 17 = 78 (vertical angles area congruent)

5x - 17 + 17 = 78 + 17

5x = 95

5x/5 = 95/5

x = 19

✔️78 + z = 180° (angles on a straight line).

78 + z - 78 = 180 - 78

z = 102°

Answer:

For any two points there is exactly one line segment connecting them. The distance between two points is the length of the line segment connecting them. Note that the distance between two points is always positive. Segments that have equal length are called congruent segments.

(6, 8)

Step-by-step explanation:

please mark this answer as brainliest

Answer:

10

Step-by-step explanation: