Elasticity is an important parameter of kernmantle ropes (used inclimbing, caving, mountaineering, etc.). One of the ways of describing it is static elongation, measuredas amount (percentage) of rope stretch under a resting load of 80 kg. Static elongation was measuredfor two random rope samples of two different types of weaving. The observed sample means, standarddeviations, and sample sizes were the following.
Type 1: Type 2: Ti = 6.2888 $i = 0.1352 ni = 17 T2 = 6.4007 S2 = 0.1070 n1 = 14
Is there evidence to support the claim that type-2- ropes are more elastic than type 1? Use a = 0.05 and assume that the populations variances are equal. Remember for state the null and alternative hypotheses, the decision rule, and your conclusion.

Answer:

4.5 pounds of candy y

5.5 pounds of candy x

Step-by-step explanation:

Given

Let x and y represent the two candies

[tex]x + y = 10[/tex] --- the sum of both candies

[tex]2x + 4y =29[/tex] ---- the worth of candies

Required

The pound of each

[tex]x + y = 10[/tex]

Make x the subject

[tex]x = 10 - y[/tex]

Substitute [tex]x = 10 - y[/tex] in [tex]2x + 4y =29[/tex]

[tex]2(10 - y) + 4y = 29[/tex]

Open bracket

[tex]20 - 2y + 4y = 29[/tex]

[tex]20 + 2y = 29[/tex]

Collect like terms

[tex]2y = 29 - 20[/tex]

[tex]2y = 9[/tex]

Solve for y

[tex]y = 9/2[/tex]

[tex]y = 4.5[/tex]

Recall that: [tex]x = 10 - y[/tex]

[tex]x = 10 - 4.5[/tex]

[tex]x = 5.5[/tex]

Answer:

323 feet

Step-by-step explanation:

909-586=323

Answer:

360cm²

Step-by-step explanation:

If the formula in the question is correct (S.A. = 40r²) then you just have to change r for r value:

40 * 3² = 40 * 9 = 360cm²

Hope it helps .

Answer: v= 4.34

Step-by-step explanation:

5.4*4.9= 6.1v

26.46/6.1 = v

4.34= v

Answer:

v = 5.4

4.9 6.1

6.1 V 26.46

6.1 6.1

v= 4.337704918

v=4.34

the reason u are glancing at 26.46 with no answer is that I cross multiplied every number which gave me 6.1 V and 26.46 ...Don't forget we are focused only on V .The sign that is joining V and 6.1 is MULTIPLICATION sign so we use the opposite which is division .I divided both sides by 6.1 cause we are looking for V which gave me 4.337704918 which looks a little bit odd .So I looked for three significant figures which gave me 4.34 .When u round it to the nearest 100 it stays the same round 4.34 to the nearest hundredth consider the thousandths’ value of 4.34, which is 0 and less than 5. Therefore, the hundredths’ value of 4.34 remains 4.

Answer:

Hello! answer: 13

Step-by-step explanation:

-4 × 13 = 52 therefore a = 13 HOPE THAT HELPS!

Answer:

a = 13

Step-by-step explanation:

u need to solve for a so get it on one side by itself and do that by dividing both sides by -4

-4a= 52

−4a÷ -4= a

52 ÷ -4 = -13

a= 13

Step-by-step explanation:

A. x=15 because -5+20 is equal to 15

Answer:

1-x²

Step-by-step explanation:

you have to read it carefully

Answer:

[tex](x + (3+5i))^2 = x^2 + 6x + (10x+30)i - 16[/tex]

Step-by-step explanation:

Complex numbers identity:

The complex numbers identity is:

[tex]i^2 = -1[/tex]

Square of the sum:

[tex](x + y)^2 = x^2 + 2xy + y^2[/tex]

In this question:

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

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

[tex]x^2 + 6x + 10xi + 9 + 30i + 25i^2[/tex]

[tex]x^2 + 6x + 9 + (10x+30)i - 25[/tex]

[tex]x^2 + 6x + (10x+30)i - 16[/tex]

So

[tex](x + (3+5i))^2 = x^2 + 6x + (10x+30)i - 16[/tex]

Answer:

The correlation is [{-3,6,9},{1,-2,-3}]

Step-by-step explanation:

The result is -1

Answer:

I'm a bit confused with your question.

Maybe this guy Sayurki can help ! He said this - "Set of unconnected points because you can't buy a part of a DVD in a line there are infinite points and when buying something such as a DVD to reach that infinite u need to be able to buy part of a DVD which technically isn't possible so that why is unconnected points u buy a full DVD not part "

Step-by-step explanation:

Answer:

the required sample size is 62

Step-by-step explanation:

Given the data in the question;

Confidence interval C = 95% = 0.95

Margin of error E = 10

population standard deviation σ = 40

sample size n = ?

We use the following formula to get our sample size;

sample size n = ( ( [tex]Z_c[/tex] × σ ) / E )²

Next we find z value for confidence interval

Confidence interval C = 95% = 0.95

Area = ( 1 + c )/2 = ( 1 + 0.95)/2 = 1.95 / 2 = 0.975

Now we check our z-table to see the area where 0.975 falls;

It falls under column 0.06 and Row 1.9

so, our z-value for confidence interval of 0.95 is 1.96

so we substitute

sample size n = ( ( 1.96 × 40 ) / 10 )²

n = ( 78.4 / 10 )²

n = ( 7.84 )²

n = 61.4656

we know that sample size is always rounded up, so

n = 62

Therefore, the required sample size is 62

Answer:

width = 5 feet

length = 13 feet

Step-by-step explanation:

length of a rectangular vegetable bed is 3 feet more than twice the width

l = 2x + 3

length of the fence around the bed is 36 feet

p = 2(l + x)

36 = 2(l + x)

18 = l + x

Substitute for l

18 = (2x + 3) + x

18 = 3x + 3

15 = 3x

x = 5

l = 2(5) + 3 = 13

Answer:

width= 5

length=13

equation (x is rectangle) = 18=(2x+3)+x

Step-by-step explanation:

Answer:

2.7>217/100

Step-by-step explanation:

Answer:

39560

Step-by-step explanation:

9890+ 9890 + 9890+ 9890= 39560

Answer:

The 90% confidence interval for the population mean is [tex][0.5 - \frac{0.1645}{\sqrt{n}}, 0.5 + \frac{0.1645}{\sqrt{n}}][/tex], in which n is the number of students surveyed.

Step-by-step explanation:

We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:

[tex]\alpha = \frac{1 - 0.9}{2} = 0.05[/tex]

Now, we have to find z in the Ztable as such z has a pvalue of [tex]1 - \alpha[/tex].

That is z with a pvalue of [tex]1 - 0.05 = 0.95[/tex], so Z = 1.645.

Now, find the margin of error M as such

[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]

In which [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample.

[tex]M = 1.645\frac{0.1}{\sqrt{n}} = \frac{0.1645}{\sqrt{n}}[/tex]

The lower end of the interval is the sample mean subtracted by M, while the upper end is M added to the sample mean of 0.5. Thus, the confidence interval is of:

The 90% confidence interval for the population mean is [tex][0.5 - \frac{0.1645}{\sqrt{n}}, 0.5 + \frac{0.1645}{\sqrt{n}}][/tex], in which n is the number of students surveyed.

search up mean calculator

Answer:

Solutions given:

f(x) = x-1

and

g(x) = 2x^2 + 3

we have

fg(x) = gf(x)

f(2x²+3)=g(x-1)

2x²+3-1=2(x-1)²+3

2x²+2=2x²-4x+2+3

2x²-2x²+4x=5-2

4x=3

x=¾

is a right answer.

Answer:

Golden ratio, also known as the golden section, golden mean, or divine proportion, in mathematics, the irrational number (1 + Square root of√5)/2, often denoted by the Greek letter ϕ or τ, which is approximately equal to 1.618.

Step-by-step explanation:

In the picture.

Answer:

7,329.60m³

Step-by-step explanation:

Volume of a cone = 1/3πr²h

r is the radius

h is the height

Given

r = 19.3m

h = 18.8m

Substitute

V = 1/3 * 3.14 * 19.3² * 18.8

V = 21,988.82968/3

V = 7,329.6 cubic meter

Hence the volume of the cone to neatrest tenth is 7,329.60m³

Answer:

A. Bin(40,0.65)

Step-by-step explanation:

For each adult, there are only two possible outcomes. Either they have a cell phone, or they do not. The probability of an adult having a cell phone is independent of any other adult having a cell phone. This means that the binomial probability distribution is used to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

And p is the probability of X happening.

In function of its parameters, the distribution is written as: Bin(n,p).

The proportion of adults who own a cell phone in a certain Canadian city is believed to be 65%

This means that [tex]p = 0.65[/tex]

Forty adults are to be selected at random from the city.

This means that [tex]n = 40[/tex].

Thus, we have Bin(40,0.65), and the correct answer is given by option A.

Answer:

9.09, 309.09

Step-by-step explanation:

Year1 300x.01=3. Balance is 303/(300+3)

Year2 303x.01=3.03 balance is 306.03

Year3 306.03x.01=3.06 balance=309.09

Answer:

Interest earned = $9

Balance after 3 years = $309

Step-by-step explanation:

For simple interest, the formula is I = PRT, where I is the interest earned or paid, P is the principal amount borrowed/deposited, R is the rate as a decimal, and T is the time in years.

I = PRT

I = (300)(0.01)(3)

I = 9

Add that to the amount deposited to start, and you have the balance aftere 3 years. $300 + 9 = $309

Answer:

[tex]( x) {}^{2} = (5) {}^{2} + ( \sqrt{11} ) {}^{2} \\ {x}^{2} = 25 + 11 \\ {x}^{2} = 36 \\ x = 6[/tex]

Answer:

[tex]\huge\boxed{\sf 90\ degrees}[/tex]

Step-by-step explanation:

P is the center of the circle

Chord RL passes through the center of the circle. Hence it is the diameter of the circle.

According to Thales's Theorem: (The angle opposite to the diameter is 90 degrees when a triangle is drawn in that semi-circle)

=> m∠REL = 90°

[tex]\rule[225]{225}{2}[/tex]

Hope this helped!