Lucy runs 6 miles in 50 minutes. At the same rate, how many miles would she run in 35 minutes?

Answer:

x = -5

Step-by-step explanation:

0.2x-8=0.4x-7

First, add 8 to both sides.

0.2x-8+8=0.4x-7+8

0.2x=0.4x-1

Next, subtract 0.4x from both sides.

0.2x-0.4x=0.4x-1-0.4x

-0.2x=1

Divide both sides by -0.2:

-0.2x/-0.2=1/-0.2

x=-5

Step-by-step explanation:

Using cosine rule,

f² = g² + e² - 2(g)(e)(cosF) = 6.7² + 5.9² - 2(6.7)(5.9)(cos70°)

= 52.6598 in²

Hence f = 7.3 in.

The length of f in the triangle EFG is 7.3 inches.

The law of cosine states that the square of any one side of a triangle is equal to the difference between the sum of squares of the other two sides and double the product of other sides and cosine angle included between them. The law of cosine states that: a² = b² + c² − 2bc·cosA.

Given that, in ΔEFG, g = 6.7 inches, e = 5.9 inches and ∠F=70°.

By using cosine rule in ΔEFG, we get

f² = e² + g² − 2eg·cos70°

= 5.9²+6.7²-2×5.9×6.7×0.342

= 79.7-27.03852

f² = 52.66148

f = 7.3 inches

Therefore, the length of f is 7.3 inches.

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The equation of the quadratic equation is H = 0.55D² + 1 and the depth is 5.95 inches and the distance is 2.96 inches.

A probit model is a type of regression in statistics where the dependent variable can only take two values.

It is given that:

The table shows the data of D and H

As we know, the standard form of the quadratic regression equation is:

y = ax² + bx + c

From the data given:

The value of a = 0.55

b = 0

c = 1

H = 0.55D² + 1

Plug D = 3 inches

H = 0.55(3)² + 1

H = 5.95 inches

Plug H = 5 inches

5 = 0.55D² + 1

D = 2.96 inches

Thus, the equation of the quadratic equation is H = 0.55D² + 1 and the depth is 5.95 inches and the distance is 2.96 inches.

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Answer:

2.88 ...........................

Answer:

17.5%

Step-by-step explanation:

We know that there are 35 out of 200 allergic to peanut

So we take

35 divided by 200, then times 100% = 17.5%

So, 17.5  of children are allergic to peanut

Answer:

t think it's b, segment

Step-by-step explanation:

it's makes the most sense to me

9514 1404 393

Answer:

  22 miles per hour

Step-by-step explanation:

Her average speed for the journey is found by dividing the total distance by the total time:

  (50 mi + 60 mi)/(2 h + 3h) = (110 mi)/(5 h) = 22 mi/h

Answer:

You would just use y = mx + b as a reference-

Step-by-step explanation:

y = mx + b

The m would be the slope and the b would be the intercept.

Answer:

\(\theta=0.99^{\circ}\)

Step-by-step explanation:

Given that,

The height of a cell tower, P = 70 m

The tower casts a shadow of 45 meters on the ground.

We need to find the angle of elevation of the shadow to the top of the cell tower. We can use trigonometry to find it.

\(\tan\theta=\dfrac{P}{B}\)

Put all the values,

\(\tan\theta=\dfrac{70}{45}\\\\\theta=\tan^{-1}\left(\frac{70}{45}\right)\\\\\theta=0.99^{\circ}\)

Hence, the angle of elevation is equal to \(0.99^{\circ}\).

a) The relevant population is the heavy soft-drink users in the given case, and the appropriate sampling design that should be used is  stratified random sampling. The list of all heavy soft-drink users is the sampling frame.

b) Cluster sampling refers to a sampling design where population is divided into naturally occurring groups and a random sample of clusters is chosen.

The advantages are efficient, easy to perform, and used when the population is widely dispersed. The disadvantages are sampling errors, have lower level of precision, and have the standard error of the estimate.

a) The relevant population for the public relations research department to investigate the initial reactions of heavy soft-drink users to a new all-natural soft drink is heavy soft-drink users. The appropriate sampling design that can be used to investigate the issues is stratified random sampling.

Stratified random sampling is a technique of sampling in which the entire population is divided into subgroups (or strata) based on a particular characteristic that the population shares. Then, simple random sampling is done from each stratum. Stratified random sampling is appropriate because it ensures that every member of the population has an equal chance of being selected.

Moreover, it ensures that every subgroup of the population is adequately represented, and reliable estimates can be made concerning the entire population. The list of all heavy soft-drink users can be the sampling frame.

b) Cluster sampling is a type of sampling design in which the population is divided into naturally occurring groups or clusters, and a random sample of clusters is chosen. The elements within each chosen cluster are then sampled.

The advantages of cluster sampling are:

The disadvantages of cluster sampling are:

A situation where cluster sampling would be appropriate is in investigating the effects of a new medication on various groups of people. In this case, the population can be divided into different clinics, and a random sample of clinics can be selected. Then, all patients who meet the inclusion criteria from the selected clinics can be recruited for the study. This way, the study will be less expensive, and it will ensure that the sample is representative of the entire population.

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The measure of the angles m∠1 and m∠2 for the polygon are 72° and 54° respectively.

To calculate the sum of interior angles of a polygon, you can use the following formula:

Sum of interior angles = (n-2) x 180 degrees

Where "n" represents the number of sides (or vertices) of the polygon.

Given the 5 sided polygon;

(5 - 2) × 180 = 540

one interior angle = 540/5 = 108°

m∠2 = 108°/2

m∠2 = 54°

m∠1 = 180 - [2(54°)]

m∠1 = 180 - 108

m∠1 = 72°

Therefore, the measure of the angles m∠1 and m∠2 are 72° for the polygon and 54° respectively.

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Answer:

\(\frac{y}{4} - 3\)

\(\frac{y}{4} - 3 = 2\) -- when y = 20

Step-by-step explanation:

The quotient of y and 4 can be represented as:

\(\frac{y}{4}\)

3 is less the above expression is:

\(\frac{y}{4} - 3\)

So, the required expression is: \(\frac{y}{4} - 3\)

When y = 20, we have:

\(\frac{y}{4} - 3 = \frac{20}{4} - 3\)

\(\frac{y}{4} - 3 = 5 - 3\)

\(\frac{y}{4} - 3 = 2\)

Answer:

555

Step-by-step explanation:

edge test 100%

Answer:

I believe that this is the place value

Sorry if I am incorrect btw

Step-by-step explanation:

Answer:

Max has $10.00. He earns $25.75 for every lawn that he mows.

Sasha sells a scarf for $10.00 and x jackets for $25.75 each.

Step-by-step explanation:

The expected value of a random variable represents the average value we would expect to obtain if we were to repeat the experiment many times. For a discrete random variable, such as the one you described, the expected value is given by the formula:

E(X) = Σ[x * P(x)],

where x is the possible values that the random variable can take, and P(x) is the probability of the random variable taking the value x.

In your case, the random variable X represents the number of occurrences of an event over an interval of ten minutes, and it is known that the mean number of occurrences in ten minutes is 5.3. Therefore, we can assume that the probability of an occurrence is λ/10, where λ is the average rate of occurrences per minute.

To find the expected value of X, we can use the formula:

E(X) = Σ[x * P(x)]

Since the number of occurrences can range from 0 to infinity, we need to consider all possible values of X. We can use the Poisson distribution to calculate the probability of each value of X, where the parameter λ is equal to 0.53, which is the average number of occurrences per minute.

Using the Poisson distribution formula, the probability of X taking the value x is given by:

\(P(X = x) = (e^(-λ) * λ^x) / x!\)

Substituting λ = 0.53, we have:

P(X = 0) = (e^(-0.53) * 0.53^0) / 0! = 0.5878

P(X = 1) = (e^(-0.53) * 0.53^1) / 1! = 0.3113

P(X = 2) = (e^(-0.53) * 0.53^2) / 2! = 0.0827

P(X = 3) = (e^(-0.53) * 0.53^3) / 3! = 0.0139

and so on...

We can then use the formula for expected value to find the expected value of X:

E(X) = Σ[x * P(x)] = (0 * 0.5878) + (1 * 0.3113) + (2 * 0.0827) + (3 * 0.0139) + ...

Evaluating this infinite sum (which can be done using a calculator or statistical software), we find that the expected value of X is approximately 5.59 occurrences per 10 minutes.

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The value of standard deviation of the sample is 11.29 grams.

To calculate the standard deviation of a sample, we need to use the following formula:

s = sqrt [ Σ(xi - x)^2 / (n-1) ]

where s is the standard deviation of the sample, Σ(xi - x)^2 is the sum of the squared deviations of each data point from the sample mean, n is the sample size and x is the sample mean

To calculate the standard deviation for the weights of the 5 mice, we first need to find the sample mean:

x = (56 + 59 + 78 + 56 + 77) / 5 = 65.2

Next, we can calculate the sum of the squared deviations:

Σ(xi - x)^2 = (56 - 65.2)^2 + (59 - 65.2)^2 + (78 - 65.2)^2 + (56 - 65.2)^2 + (77 - 65.2)^2

= 82.36 + 41.64 + 156.64 + 82.36 + 147.56

= 510.56

Finally, we can calculate the standard deviation:

s = sqrt [ Σ(xi - x)^2 / (n-1) ] = sqrt [ 510.56 / (5-1) ] = sqrt [ 127.64 ] = 11.29

Therefore, the standard deviation is 11.29 grams.

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The missing number in moby max 446 - 312 =  146 - m is 12.

Algebraic manipulation is the process of rearranging mathematical expressions to simplify or solve equations. It involves using algebraic operations, such as addition, subtraction, multiplication, division, and exponentiation, to transform an equation or expression into a form that is easier to work with or that better reveals the solution.

To solve for the missing number, we can use basic algebraic manipulation:

446 - 312 = 146 - m

Simplifying the left-hand side:

134 = 146 - m

Subtracting 146 from both sides:

-12 = -m

Multiplying both sides by -1:

m = 12

Therefore, the missing number is 12.

For example, if we have an equation such as 2x + 3 = 7, we can manipulate it algebraically to solve for x:

2x + 3 = 7 (subtract 3 from both sides)

2x = 4

x = 2

In this example, we used algebraic manipulation to isolate the variable x on one side of the equation and solve for its value. This is just one example of the many ways that algebraic manipulation can be used to simplify or solve mathematical expressions and equations.

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Math question from moby max. 446 − 312 = 146 − m. what is m?

Answer: THE ANSWER TO YOUR QUESTION IS "ONE WOULD EXPECT THE DEPENDENT VARIABLE TO INCREASE!

Answer:

x= 26

Step-by-step explanation:

Im not sure but i had this same quistion on a quiz and i got it correct

Answer:

The boats will meet in 3.33 hours.

Step-by-step explanation:

The position of each boat can be modeled by a first order equation.

I am going to say that the first boat is at the position 0, and moving in the positive direction with a speed of 3 miles per hour. So

\(A(t) = 0 + 3t\)

They are moving in oppositie directions, and initially are 30 miles apart. This means that the second boat starts at the position 30, and moves in the negative direction at the rate of 6 miles an hour. So

\(B(t) = 30 - 6t\)

How soon will the boats meet?

This is t when:

\(A(t) = B(t)\)

\(3t = 30 - 6t\)

\(9t = 30\)

\(t = \frac{30}{9}\)

\(t = 3.33\)

The boats will meet in 3.33 hours.

Answer:

4/10 and 40%

Step-by-step explanation:

He had 4 Strikes out of a total 10 Tries. 4 of his 10 tries were strikes.

So its 4/10.

Answer:

17.89 ft

Step-by-step explanation:

This is a right triangle so we can use the Pythagorean theorem

a^2 + b^2 = c^2  where a and b are the legs and c is the hypotenuse

8^2 +16^2 = c^2

64+ 256 = c^2

320 =c^2

Taking the square root of each side

sqrt(320) = sqrt(c^2)

sqrt(64*5) = c

sqrt(64) sqrt(5) =c

8 sqrt(5) = c

17.88854382=c

17.89 ft

\(\boxed{\large{\bold{\blue{ANSWER~:) }}}}\)

A ladder is placed 8 feet away from a wall. The distance from the ground straight to the top of the wall is 16 feet.

so it is a right angle triangle

in a right angle triangle, According to the Pythagorean theorom,

\(\boxed{\sf{l^2+b^2=h^2 }}\)

where

The height of the ladder is \(\sf{8\sqrt{5} }\)

Answer:

a = - 1/2b + 1/6w + 2/3

Step-by-step explanation:

w= 3(2a+b) - 4

Add 4 on both sides.

w + 4 = 3(2a+b)

Divide 3 into both sides.

w/3 + 4/3 = 2a+b

Subtract b on both sides.

w/3 + 4/3 - b = 2a

Divide 2 into both parts.

w/3/2 + 4/3/2 - b/2 = a

a = w/6 + 4/6 - b/2

a = 1/6w + 2/3 - 1/2b

Answer:

a=(w-3b+4)/6

Step-by-step explanation:

w= 3(2a+b) -4

w=6a+3b-4

6a= w-3b+4

a=(w-3b+4)/6

Answer:

62

Because u do 180-90-28=62

==========================================================

Explanation:

We start with one block at the very left side. This is algebraically written as \(a_1 = 1\). The small subscript '1' means we're dealing with the first term, and that is set equal to 1. In other words, the first term is 1.

The second term is three since we have three blocks as the next figure down the line. So \(a_2 = 3\). We can then see that \(a_3 = 6\) and \(a_4 = 10\)

The sequence of the first four terms are: 1, 3, 6, 10.

The notation \(a_n = a_{n-1} + n\) tells us "to get the nth term \(a_n\), we add the previous term (\(a_{n-1}\)) to the value of n".

For example, if we wanted the third term, we would add the second term a2 onto the value of n = 2. In order to know a2, we need the diagram or you would have to use the recursive formula to find it.

Furthermore, it means that to find the fifth term \(a_5\), we do the following

\(a_n = a_{n-1} + n\\\\a_5 = a_{5-1} + 5\\\\a_5 = a_{4} + 5\\\\a_5 = 10+5\\\\a_5 = 15\)

The fifth figure will have 15 small little blocks to it. You can draw this out by copying the fourth figure, and then adding 5 smaller blocks to the very bottom portion. The sixth figure is basically a copy of the fifth one, but we have six little blocks along the bottom. This is the "plus n" being applied in the recursive formula.

So the 6th figure will have 15+6 = 21 blocks in total while the 7th figure has 21+7 = 28 blocks. This points us to choice (3).

Side note: These are known as triangular numbers. Note how the gaps between consecutive values of 1,3,6,10,15,21,28 is +2,+3,+4,+5,+6,+7.

Answer:

Step-by-step explanation:

None of the other choices