Jet travels 2804 miles against the wind in 4 hours. Jet travels 3524 miles with the wind in 4 hours. What is the rate in still air and the rate in wind?​

Answer: 26129.6

Step-by-step explanation:

6721 x 381 = 2560701

14 + 84 = 98

2560701  / 98 = 26129.6

The expression |-4| has a value of 4 when evaluated

From the question, we have the following parameters that can be used in our computation:

|-4|

The above expression is an absolute expression

So, the solution is the positive value of the expression in bracket

Evaluate the expressions in the brackets

So, we have the following representation

|-4| = 4

Hence, the expression has a value of 4

Read more about expression at

brainly.com/question/15775046

#SPJ1

Both figures have an area of 4 units squared, so yea, the area is the same.

The area of a square of side length S is equal to S squared, for the square, we can see that:

S = 2 units.

Then the area is:

A = (2 units)² = 4 square units.

For the triangle, we know that the area is equal to:

A = B*H/2

Where B = base, H = height.

We can see that:

B = 2 units.

H = 4 units.

Then:

A = (2 units)*(4 units)/2= 4 square units.

So yea, both have the same area.

Learn more about area at:

https://brainly.com/question/24487155

#SPJ1

Answer:

No solution

Step-by-step explanation:

9(x-4)=9x-33

9x-36=9x-33

-9x       -9x

36=33

36 is not equal to 33 so therfore

there is no solution

Answer:

The length of line segment PR is 32.8 units to the nearest tenth.

Step-by-step explanation:

Interior angles of a triangle sum to 180°.  

Therefore, the measure of angle O in triangle MNO can be calculated as follows:

\(\implies m \angle M + m \angle N + m \angle O=180^{\circ}\)

\(\implies 61^{\circ} + 52^{\circ} + m \angle O=180^{\circ}\)

\(\implies 113^{\circ} + m \angle O=180^{\circ}\)

\(\implies m \angle O=67^{\circ}\)

Therefore, the three angles in triangle MNO are:

As two angles in triangle PQR are the same as two of the angles in triangle MNO, the three angles are the same in both triangles.

Therefore, triangle MNO is similar to triangle PQR.

As corresponding sides are always in the same ratio in similar triangles:

\(\implies \sf MN:PQ=NO:QR=MO:PR\)

From inspection of the given triangles:

Substitute these values into the relevant ratio:

\(\implies \sf MN:PQ=MO:PR\)

\(\implies 19:39=16:x\)

\(\implies \dfrac{19}{39}=\dfrac{16}{x}\)

Cross multiply:

\(\implies 19 \cdot x=16 \cdot 39\)

\(\implies 19x=624\)

To solve for x, divide both sides by 19:

\(\implies \dfrac{19x}{19}=\dfrac{624}{19}\)

\(\implies x=32.8421052...\)

Therefore, the length of line segment PR is 32.8 units to the nearest tenth.

Equate the triangle through their angles and see whether they are similar

2nd

Triangles are equal

the sides must be proportional

Sources of variation, or components of the two-way ANOVA include two factors, each with two or more levels (groups), and collectively, factors are often referred to as the main effects in these types of ANOVA.

Analysis of variance is a set of statistical models and the estimation processes that go with them that are used to examine the differences between means. Ronald Fisher, a statistician, invented ANOVA. ANOVA is a statistical procedure that divides observed variance data into distinct components for use in further tests. For three or more sets of data, a one-way ANOVA is used to learn about the connection between the dependent and independent variables. ANOVA, which stands for Analysis of Variance, is a statistical test used to compare the means of multiple groups.

Here,

The sources of variation, or components of the two-way ANOVA, are two factors, each having two or more levels (groups), and factors are sometimes referred to as the main effects in these forms of ANOVA.

To know more about ANOVA,

https://brainly.com/question/23638404

#SPJ1

Answer:

49

Step-by-step explanation:

9514 1404 393

Answer:

  9°, 9°, 162°

Step-by-step explanation:

Let x represent the measure of the first angle. Then the sum of all of the angles in the triangle is ...

  x + x + 9(x+x) = 180°

  20x = 180° . . . . . . . . . . collect terms

  x = 180°/20 = 9° . . . . . divide by 20

  9(x+x) = 162° . . . . . . . find the third angle

The three angle measures are 9°, 9°, and 162°.

Answer:

Step-by-step explanation:

First, you could factor 2 out of the whole thing.  The result would be 2(x^2-4x-45). Now we find the factors of 45 which are 1, 45, 5, 9, 15, 3. We have to find the pair that adds up to 4, and multiply to get 45. After some guess and check, we can find that 5 and 9 are those numbers. Now we have to get the right signs. Since the result is a negative number for -8k, and -90, the number that is a negative must be less than the other negative. -9<-5, so the answer would be 2(x-9)(x+5)

Option A is the correct answer  The decision is to reject the Null Hypothesis. The conclusion is that there is enough evidence to reject the claim.

A test statistic is defined as how closely the distribution of the data matches the distribution predicted under the null hypothesis of the statistical test while using it.

the formula to calculate is:

z = (proportion mean - population proportion) ÷ sqrt(pq/n)

z=( X‾-p)÷ (pq / √n)------(1)

where X‾ is the sample mean,

μ0 defines the population mean,

p is the standard deviation of the sample

n is for the size of the sample.

proportion mean = x/n = 424/600 = 0.71

X‾=0.71

population proportion (p) = 70% = 0.70

μ0=0.70

q = 1 - p = 1 - 0.70 = 0.30

n = 600

z = (0.71 - 0.70) ÷ sqrt(0.70×0.30/600)

= 0.01 ÷ sqrt (3.5×10^-4)

= 0.01 ÷ 0.019

z= 0.53

The test statistic is 0.53

To know more about test statistics:

https://brainly.com/question/14997061

#SPJ4

\(\huge\boxed{Hi\: there!}\)

\(\huge\mathfrak{Question:}\)

Is 7,301,771 divisible by 6?

\(\huge\mathfrak{Answer:}\)

No.

Remember, divisible by means the given number can be divided by a number without a remainder.

If we divide 7,301,771 by 6, we will get a remainder.

\(\huge\boxed{Therefore,\: 7,301,771 \: isn't \: divisible\: by 6.}\)

\(\huge\mathfrak{Good\: luck!}\\\huge\bold {~CheerfulTeen}\)

Teenagers consume 10 pieces of pizza on average per week, with a 95% confidence interval (8-12).

Additionally, we examine a sample of youngsters and discover that on average, they consume 9 slices per week.. I.e. sample mean value lies within the 95% confidence interval (8, 12) it means that we can use this to estimate  population  mean which can lie in given 95% of interval and it can said to best estimate for population mean.

In order to determine the average number of slices consumed each week by teenagers, a sample of 9 teenagers is provided.

Hence, the stated value—that they consume nine slices—lies within the given range. So our claim is correct with probability of 95%.

To know more about Mean Value visit:

brainly.com/question/14882017

#SPJ1

9514 1404 393

Answer:

  A: A has $496.88 more

Step-by-step explanation:

A graphing calculator works this problem nicely.

The balance in the simple interest account after t years is ...

  A = 1000(1 + 0.08t)

The balance in the compound interest account after t years is ...

  B = 800(1 +0.05)^t

The larger starting balance and the higher interest rate keep the A account balance higher than the B account balance for more than 29 years. Then, the effect of interest compounding takes over. Until then, account A has more money in it. The calculator shows Account A has $496.88 more after 10 years.

Answer:

\(4 \frac{13}{56} = \frac{223}{56} \)

Step-by-step explanation:

-4 ¹/7 + 8 ⅜

-(4 + ¹/7) + 8 + ⅜

-4 - ¹/7 + 8 + ⅜

(-4 + 8) + (-¹/7 + ⅜)

4 + 13/56

\( = 4 \frac{13}{56} = \frac{223}{56} \)

\($-4\frac{1}{7} +8\frac{3}{8}\)  is equal to \($4\frac{29}{56}\).

We have -

\($-4\frac{1}{7} +8\frac{3}{8}\)

We have to solve it.

For any mixed fraction -  \($a\frac{x}{y}\) you can convert it into simple fraction by -

\($\frac{y\times a+x}{y}\).

According to the question, we have -

\($-4\frac{1}{7} +8\frac{3}{8}\)

Assume the sum to be equal to S.

S = \($\frac{-27}{7} +\frac{67}{8}\)  = \($\frac{253}{56} =4\frac{29}{56}\)

Hence -

\($-4\frac{1}{7} +8\frac{3}{8}\)  is equal to \($4\frac{29}{56}\).

To solve more questions on Operations on fractions, visit the link below-

https://brainly.com/question/22366735

#SPJ2

A boat travels 82 km on a 160-degree course. Find the distances it travels south and east, respectively

see the attached figure to better understand the problem

step 1

Find out the East's distance (dx)

we have that

cos(20)=dx/82

dx=82*cos(20)

step 2

Find out the South's distance (dy)

sin(20)=dy/82

dy=82*sin(20)

Answer:

Step-by-step explanation:

80+1=9x

81=9x

x=9

Step by step explanation:

Step 1:

→\(-9x + 1 = - 80\)

Step 2:

→\( - 9x = - 80 - 1\)

Step 3:

→\( - 9x = - 81\)

Step 4:

→\(x = \dfrac{ - 81}{ - 9} \)

Step 5:

→\(x = 9✓\)

An equivalent inequality to the given \(-4(x + 7) < 3(x - 2)\) is \(7x > -22.\)

To find an equivalent inequality, we can start by simplifying the given inequality and then make adjustments to preserve its truth.

Let's simplify the given inequality step by step:

\(-4(x + 7) < 3(x - 2)\)

Expanding both sides:

\(-4x - 28 < 3x - 6\)

Grouping like terms:

\(-4x - 3x < -6 + 28\)

Simplifying:

\(-7x < 22\)

To maintain the direction of the inequality, we need to multiply both sides by -1.

However, when we multiply or divide both sides of an inequality by a negative number, the direction of the inequality is reversed.

Therefore, we need to flip the inequality sign:

\(7x > -22\)

Hence, an equivalent inequality to the given \(-4(x + 7) < 3(x - 2)\) is

\(7x > -22.\)

For such more questions on inequality

https://brainly.com/question/30238989

#SPJ8

The percent cost of 1 kg rice is less than the cost of 1 kg sugar by 11 1/9%.

We first calculate the difference between the original value and the new value when comparing a rise in a quantity over time. The relative increase in comparison to the initial value is then determined using this difference, and it is expressed as a percentage.

Let the cost price of rice is R and cost price of sugar is S.

Case 1 :  total cost of 5 kg rice and 6 kg sugar is Rs. 940.

5R + 6S = 940 ...(1)

Case 2 : rate of rice increased by 20% and the rate of sugar decreased by 10%.

The new cost price of rice = R + 20% of R = 1.2R

The new cost price of sugar = S - 10% of S = 0.9S

So, the total cost of 4 kg rice and 3 kg sugar will be Rs. 627.

Thus,

4 × 1.2R + 3 × 0.9S = 4.8R + 2.7S = 627 ..(2)

From equations (1) and (2) we have,

(5R + 6S)/(4.8R + 2.7R) = 940/627

R/S = 8/9

Hence, if the price of rice is 8 then the price of sugar is 9.

It is clear that the price of sugar is more than that of rice.

The percent cost by which cost of rice is less than sugar is:

(9 - 8)/ 9 (100) = 11 1/9%.

Hence, the cost of 1 kg rice is less than the cost of 1 kg sugar by 11 1/9%.

Learn more about percentage here:

https://brainly.com/question/14695543

#SPJ1

Answer:

The expression f(0) represents the y-intercept on the graph of f(x). The y-intercept of a graph is the point where the graph crosses the y-axis.

Step-by-step explanation:

HOPE IT HELPS ❤

Answer:

12

Step-by-step explanation:

Doing the test rn

Answer:

1,2,5,and 6

Step-by-step explanation:

I did the assignment

Solving for N is an illustration of subject of formula, and the equation of N is N = 1 + (S - A)/D

The equation of S is given as:

S = A+(N-1) D

Subtract A from both sides

S - A = (N-1) D

Divide both sides by D

(S - A)/D = N-1

Add 1 to both sides of the equation

N = 1 + (S - A)/D

Hence, the equation of N is N = 1 + (S - A)/D

Read more about subject of formula at:

https://brainly.com/question/10643782

#SPJ1

Answer: 240

Step-by-step explanation:

You would multiply each of the sides to get the final answer of 240 (:

The mean of the discrete distribution that models this situation is of 2.98.

The expected value of a discrete distribution is given by the sum of each outcome multiplied by it's respective probability.

Considering the table, the probability distribution is given by:

Hence the mean is given by:

E(X) = 4 x 0.4 + 3 x 0.32 + 2 x 0.17 + 1 x 0.08 + 0 x 0.03 = 2.98.

More can be learned about the mean of a discrete distribution at https://brainly.com/question/27899440

#SPJ1

The area of the segment is 9( π-2) units²

The area of a figure is the number of unit squares that cover the surface of a closed figure.

A segment is the area occupied by a chord and an arc. A segment can be a major segment or minor segment.

Area of segment = area of sector - area of triangle

area of sector = 90/360 × πr²

= 1/4 × π × 36

= 9π

area of triangle = 1/2bh

= 1/2 × 6²

= 18

area of segment = 9π -18

= 9( π -2) units²

therefore the area of the segment is 9(π-2) units²

learn more about area of segment from

https://brainly.com/question/22599425

#SPJ1

The probability of randomly choosing a green marble after you have chosen red is 4.4%

What is probability?

Simply put, probability measures how probable something is to occur. We can discuss the probabilities of various outcomes, or how likely they are, whenever we are unsure of how an event will turn out. Statistics is the study of events subject to probability.

Given

A jar has 20 marbles: 3 green, 12 blue, 5 red.

Probability;

In probability theory, an event is a set of outcomes of an experiment or a subset of the sample space.

The total number of marbles = 20

The number of green marbles= 3

The number of blue marbles = 12

The number of red marbles = 5

The probability of choosing a red marble = Number of red marbles / Total number of marbles

= 5/20

The probability of choosing a green marble is =  Number of green marbles / New total number of marbles

= 3/19

Therefore,

The probability of randomly choosing a green marble after you have chosen red is;

= 5/20 * 3/19

= 3/68

percentage = 3/68 * 100 = 4.4%

Hence, the probability of randomly choosing a green marble after you have chosen red is 4.4%

To know more about probability from the link given below.

brainly.com/question/743546

#SPJ1

Answer:

\(C(x)=24,000+19,200x\)

Step-by-step explanation:

Mathematical Modeling

To model a real-life situation, a mathematical model can be constructed in such a way it accurately represents the variables measured in the system.

This problem requires to build a model for the yearly cost of a small and successful business.

The first data is the fixed monthly cost or the money the owner must pay regardless of the number of employees he hires. This cost includes shipping supplies and products for $2,000. To operate for a full year, the fixed cost is 12*$2,000=$24,000.

The other component of the cost function is the variable cost of x employees. Given each employee costs $1,600 each month, having x employees cost 1,600x each month. For a full year, the variable cost will be

12*1,600x=19,200x.

We finally form the total cost function:

\(\boxed{C(x)=24,000+19,200x}\)

Answer:

–7a,0,b(–5,5),

Step-by-step explanation:

I hope this helps

$ 232.90

62% ........... $144.40

100% ..........$ x

x = 144.40×100/62

= 14440/62

= $ 232.90