Blake measures the lengths, in inches, of 10 insects. He records the lengths of the insects on this line plot. He adds the lengths of the 3 longest insects.

The value of correct Set-builder form is,

⇒ { x | x ∈ IR ; 4 ≤ x ≤ 8 }

We have to given that;

The set is,

⇒ {4, 5, 6, 7, 8}

Thus, We can write correct Set-builder form as,

⇒ {4, 5, 6, 7, 8}

⇒ { x | x ∈ IR ; 4 ≤ x ≤ 8 }

So, The value of correct Set-builder form is,

⇒ { x | x ∈ IR ; 4 ≤ x ≤ 8 }

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Considering the hypothesis tested, using the t-distribution, as we have the standard deviation for the sample, it is found that the adequate test statistic is given by:

\(t = \frac{(3.22 - 3.17) - 0}{\sqrt{\frac{0.05^2 + 0.03^2}{25}}}\)

At the null hypothesis, we test if there is no difference, that is, the subtraction of their means is 0, hence:

\(H_0: \mu_1 - \mu_2 = 0\)

At the alternative hypothesis, we test if there is a difference, that is, the subtraction of their means is not 0, hence:

\(H_1: \mu_1 - \mu_2 \neq 0\)

For Biology Majors, we have that:

\(\mu_1 = 3.22, \sigma_1 = 0.05, n_1 = 25, s_1 = \frac{0.05}{\sqrt{25}}\)

For Engineering Majors, we have that:

\(\mu_2 = 3.17, \sigma_2 = 0.03, n_2 = 25, s_2 = \frac{0.03}{\sqrt{25}}\)

Then, for the distribution of differences, we have that:

\(\overline{x} = \mu_1 - \mu_2 = 3.22 - 3.17\)

\(s = \sqrt{s_1^2 + s_2^2} = \sqrt{\left(\frac{0.05}{\sqrt{25}}\right)^2 + \left(\frac{0.03}{\sqrt{25}}\right)^2} = \sqrt{\frac{0.05^2 + 0.03^2}{25}}\)

It is given by:

\(t = \frac{\overline{x} - \mu}{s}\)

In which \(\mu = 0\) is the value tested at the null hypothesis.

Hence:

\(t = \frac{(3.22 - 3.17) - 0}{\sqrt{\frac{0.05^2 + 0.03^2}{25}}}\)

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Answer:

2, 3, 6

Step-by-step explanation:

Simply try each value using long division.

2:

Since 5,238 ends in an even number, that automatically means it is divisible by 2.

5238/2=2619

Now for 3:

5238/3=1746 no remainder or decimal, so 3 also works

4:

You can either do long division again with 4, or you can see if 5238 divided by 2 (5238/2) is also divisible by 2. Since 2619 doesn't end in an even number, 4 is a no go.

Long division 5238/4=1309.5 decimal here, so 4 isn't an answer

5:

This is also very easy, simply check if the number ends in 0 or 5. Since 5,238 does not, 5 doesn't work either.

6:

You can do the same thing as with 4, except this time trying to find if 5238 divided by 3 (5238/3) is divisible by 2. Since 1746 ends in an even number, 6 also works.

Long division: 5238/6=873

9:

You can do the same thing as with 6, except this time trying to find if 5238 divided by 3 (5238/3) is divisible by 3.

1746/3=548 with a remainder of 2, which means 9 doesn't work

Long division: 5238/9=548.66 repeating

10:

Finally, 10 is another easy one. Simply check if the number ends in 0. 5,238 does not, so 10 doesn't work.

1. Completing the percentage table about the payment for a pair of jeans bought by Terese at a clothing store is as follows:

Dollar Amount      Percentage

                              % off the

                         original amount

$75                         25%

2. The coupon gives Terese 25% off the original amount.

3. The amount Terese paid for the jeans (before tax) was $56.25.

4. The number of yellow candies in the bag is 15.

5. In the Math test, Blair, who answered 27 questions correctly out of 35, scored 77 percent.

6. The true statement about the amount of money Jeffrey has concerning Louis is A. Jeffry has $66.

Cost of a pair of jeans = $75

Coupon value = $18.75

Amount paid = $56.25

The coupon percentage = 25% ($18.75/$75 x 100)

Yellow candy = 25%

The total number of candies in the bag = 60

The number of yellow candy = 15 (60 x 25%)

The total number of questions = 35

The number of questions answered correctly = 27

Percent scored by Blair = 77% (27/35 x 100)

The amount of money Louis has = $110

The percentage of Louis' money that Jeffry has = 60%

The amount Jeffry has = $66 ($110 x 60%)

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Answer:

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Step-by-step explanation:

Answer:

1 - 3√(5/35) = 1 - 3√(1/7) = 1 - 3*(1/sqrt(7)) ≈ 0.0755
0.0755 * 100 = 7.55%

Step-by-step explanation:

To find the percentage of 1 - 3√(5/35), we need to first evaluate the expression.

1 - 3√(5/35) = 1 - 3√(1/7) = 1 - 3*(1/sqrt(7)) ≈ 0.0755

To convert this decimal to a percentage, we simply multiply by 100:

0.0755 * 100 = 7.55%

Answer:

x=0, 1+4/5

Step-by-step explanation:

do you need a Step-by-step explanation?

Answer:

2 she draws it they are not real

Step-by-step explanation:

so 2 • 2 = 4x then 3•3=9y since they aren't like terms so u have to leave it like that hope this helps

The missing coefficient of the x-term after finding the product of (-x - 5)², is: C. 10.

The coefficient of a variable is the numerical value that comes before the variable and multiplies it.

Find the product of (-x - 5)²:

(-x - 5)(-x - 5)

-x(-x - 5) -5(-x - 5)

x² + 5x + 5x + 25

x² + 10x + 25

The x-term is "10x". The coefficient is: 10.

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Answer: B (2.9 x 10)

Step-by-step explanation: (4.35 x 10^2)/15 = 29 = 2.9 x 10

Since we do not know the value of u, we cannot find the time taken by the basketball to travel a distance of 8.5 meters. We cannot find the height of the basketball at its highest point.

Given that n(x) = 3 for 8 < x < 8.5.It is impossible to determine whether the shot will be made or not based solely on this information. Winning the playoffs depends on various factors, such as the score, time remaining, and the overall performance of the team.

Therefore, additional information is required to determine the outcome of the playoffs.However, to find the height of the basketball at its highest point, we need to know the equation of the trajectory of the basketball.

Assuming that the basketball follows a parabolic path, we can use the formula:

y = ax² + bx + c,

where y is the height of the basketball, and x is the horizontal distance traveled by the basketball.

To find the values of a, b, and c, we need to know three points on the trajectory of the basketball. Let's assume that the basketball is thrown from a height of 1.5 meters and lands on the floor after traveling a horizontal distance of 8.5 meters.

Therefore, the points on the trajectory of the basketball are:

(0, 1.5), (8.5/2, h), and (8.5, 0),

where h is the height of the basketball at its highest point.Substituting these values in the equation of the trajectory,

we get:

1.5 = a(0)² + b(0) + c...(1)0 = a(8.5)² + b(8.5) + c...(2)h = a(8.5/2)² + b(8.5/2) + c...(3)

Simplifying equations (1) and (2),

we get:

c = 1.5...(4)b = -a(8.5)²/8.5...(5)

Substituting equation (4) in equation (3), we get:

h = a(8.5/2)² + b(8.5/2) + 1.5h = a(8.5/2)² - a(8.5)²/8.5 + 1.5h = -29.375a + 1.5

Substituting the value of a from equation (5) in the above equation,

we get:

h = -29.375(-a(8.5)²/8.5) + 1.5h = 0.5a(8.5)² + 1.5

Therefore, to find the height of the basketball at its highest point, we need to find the value of a. Since we know that the basketball lands on the floor after traveling a horizontal distance of 8.5 meters,

we can use the formula:

x = ut + 0.5at²,

where u is the initial horizontal velocity of the basketball, and t is the time taken by the basketball to travel a distance of 8.5 meters.

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Film cameras allow a limited number of shots per role. 36 images can a photographer typically shoot on a roll. Thus, option A is the correct option.

The most cost-effective per shot is the roll, which typically yields 36 exposures. The 35mm format comes in a few different forms. On a roll of 35mm film, half-frame cameras may capture twice as many images at a smaller size.

Rolls of film typically have 24 or 36 exposures. The number of pictures you may take before loading a new roll may be limited as a result. However, some photographers view this as a benefit since it forces them to be more deliberate and exact when creating their images.

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Answer: 12.5%

Step-by-step explanation:

2=x•16

x= 0.125

Turn it into a decimal

X= 12.5%

The percent increase for the change in the number of games in the park district flag football league is 12.5%.

Percentage increase is the amount added to the initial value in the percentage part.

A park district flag football league is changing the number of regular season games for each team from 16 games to 18 games.

The percentage increase is the ratio of change in the number of games to the number of games initial multiplied with 100. Thus, the percentage increase is,

\(p=\dfrac{18-16}{16}\times100\\p=\dfrac{2}{16}\times100\\p=12.5\%\)

Thus, the percent increase for the change in the number of games in the park district flag football league is 12.5%.

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Total number of possible outcomes:

Number of ways to choose 3 numbers from 56 (56 choose 3): 56! / (3! * (56 - 3)!) = 22,957

Number of ways to choose 1 number from 49: 49

Total number of possible outcomes = 22,957 * 49 = 1,128,593

Number of favorable outcomes:

Number of ways to choose 1 number from 49: 1

Number of favorable outcomes = 1

Probability of winning the minimum award:

Probability = Number of favorable outcomes / Total number of possible outcomes

Probability = 1 / 1,128,593 ≈ 0.000000888, or approximately 0.0000888%

The equation is graphed below that is accurate y = |2x – 2| – 4.

The y-intercept of a graph is the point where the graph crosses the y-axis or it's the point where x = 0.

The given description mentions that approaches the grid line at (negative 3, 3), crosses the x-axis at (negative 1.5, 0), has a vertex at the y-axis at (0, negative 3), and crosses the x-axis at (1.5, 0).

This clearly indicates that the graph has a y-intercept at (0, -2).

For instance, the graph doesn't have an x-intercept at (0, -3), and it doesn't have two y-intercepts.

So, the equation could be

y = |2x – 2| – 4.

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Answer: 7,035

Step-by-step explanation: first convert 5% to a decimal, 0.05

Then multiply that to the subtotal which is 6,700: 335

Last add 335 to the subtotal. 6,700+335+7,035

Hope this helps!

Answer:

t(c)  =  3.355

Step-by-step explanation:

We assume a normal distribution, and with sample size n = 9 we should follow a t -student test on both tails since the FDA is interested in determining if the amount of drug absorbed is different from 3.5 micrograms.

Therefore if α  = 0,01    that means that confidence interval is 99 % or 0,99

Finally with   α/2 = 0,005   and 8 degrees of freedom we find in t-student table  t(c)  =  3.355

Answer:

12

Step-by-step explanation:

Answer:yes

Step-by-step explanation:

Answer:

Yes

Step-by-step explanation:

Any two sides of a triangle must be larger than the third side.

12+18>The Third Side

18+the third side>12

12+the third side>18

Answer:

C

Step-by-step explanation:

The other 2 aren't rational numbers

I am not completely confident in my answer, so lmk if it's right

The volume of the solid obtained by rotating the region enclosed by the curves \(y=\sqrt{x^3}\) and \(y = x^2\) about the y-axis is \(\pi/14\) . option B

To determine the solid's volume after rotating the area bounded by curves

\(y = \sqrt{x^3}\) and \(y = x^2\)

We can apply the cylindrical shell approach to the y-axis.

First, let's locate the spots where the two curves intersect:

\(\sqrt{x^3} = x^2\)

Squaring both sides:

\(x^3 = x^4\)

Rearranging:

\(x^4 - x^3 = 0\)

Factorizing \(x^3(x - 1) = 0\)

Therefore, the locations of intersection are x = 0 and x = 1.

The integral for the solid's volume must then be set up using cylindrical shells. The following formula determines the volume of a cylindrical shell:

V is equal to 2[a, b] x * h(x). dx where a and b are the integration limits, x is the shell's radius, and h(x) is the height of the shell.

The radius of the shell in this instance is x, while the height of the shell is the ratio of the two curves: \(h(x) = \sqrt{x^3} - x^2.\)

Since those are the locations of intersection, the range of integration's bounds is 0 to 1.

The integral then becomes:

∫\(V = 2\pi [0, 1] x * (\sqrt{x^3} - x^2) dx\)

We can simplify the formula inside the integral in order to evaluate it:

V = 2π ∫[0, 1] (x^(5/2) - x^3) dx

We can integrate each word by applying the power rule for integration as follows:

\(V = 2\pi [(2/7)x^{(7/2)} - (1/4)x^{4}] |[0, 1]\)

Calculating the limits of the definite integral:

\(V = 2\pi [(2/7)(1^{(7/2))} - (1/4)(1^{4)}] - 2\pi [(2/7)(0^{(7/2})) - (1/4)(0^{4)}]\)

Simplifying further:

V = 2π [(2/7) - (1/4)]

V = 2π (8/28 - 7/28)

V = 2π/28

Simplifying the fraction:

V = π/14 ,Therefore, the correct answer is option B.

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The field of view for an owl is about 110 degrees, with about 70 degrees being binocular vision. By comparison, humans have a field of view that covers 180 degrees, with 140 degrees being binocular. A woodcock has an amazing 360 degree field of view, because its eyes are on the side of its head.

Answer:

Step-by-step explanation:

3:7 = ___: 49

3 : 7 = x : 49

x = 3 × 49 ÷ 7

x = 147 ÷ 7

x = 21

3 : 7 = 21 : 49  (your answer)

Thus, the number of buses needed to carry the 2177 tourists is found as 61.

A number can be divided into an equal amount of component parts.

People may display a variety of signs to denote division. The backslash / is additionally employed, though the character is more typical. Numerous numbers may occasionally be written with a line separating them. It is also known as a fraction.

A division calculation has a name for each component. The dividend, the divisor, and indeed the quotient are the three key terms.

Given data:

Number of tourists carried by 1 bus = 36.

Total number of tourists = 2177.

Number of buses = (Total number of tourists)/(Number of tourists carried by 1 bus)

Number of buses = 2177/36

Number of buses = 60.47

Number of buses =  61

Thus, the number of buses needed to carry the 2177 tourists is found as 61.

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Answer:

x = -7

x = 5

Step-by-step explanation:

The standard form of quadratic equations is

Ax^2 + Bx + C = 0

The factors need to multiply together to be C and add together to be B.

The two numbers that will multiply together to be -35 and add together to be 2 are -5 & 7.

The factor pairs are (x+7)(x-5). Zero product property means we set each of those factor pairs = 0 and solve.

x + 7 = 0

-7 -7 Subtract 7 from each side to solve

x = -7

x - 5 = 0

+5 +5 Add 5 to each side to solve

x = 5

To solve the equation, factor x²+2x−35 use the formula x² +(a + b) x + ab = (x + a)(x + b). To find a and b, set up a system to be solved.

a + b = 2

ab = −35

Since ab is negative, a and b have opposite signs. Since a+b is positive, the positive number has a greater absolute value than the negative. Show all pairs of integers whose product is −35.

Calculate the sum of each pair.

The solution is the pair that gives sum 2.

Rewrite the factored expression (x + a)(x + b) with the values obtained.

To find solutions to equations, solve x−5=0 and x+7=0.

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Answer:

$2 per round of potatoes

Step-by-step explanation:

$10/5 pounds of potatoes= $2