An airplane is flying with a constant altitude at a speed of 450 mph in a direction 10° north of west directly towards its final destination. The airplane then encounters wind blowing at a steady 34 mph in a direction 85° north of east. If the pilot does not correct his course after encountering the wind, at what speed and in what direction (counterclockwise from east) will the plane be traveling? Speed:  _____mph   Direction:______ °​

Answer:

Steps 4 and 5

Step-by-step explanation:

Paula divided both sides in 4 and 5 to keep the equations equal.

Hope that this helps!

Answer:

Step-by-step explanation:

Answer:

18 days

Step-by-step explanation:

72/6=12 miles per day

12*3=36

648/36=18 days

Answer:

A) The chi-square goodness-of-fit test can only be used on counts, weights are quantitative, not counts.

B) Count the number of each kind of nut, assuming the company's percentages are based on counts rather than weights.

Step-by-step explanation:

The Test of Goodnes for fit is based on the property that the χ² test is applicable when the cell probabilities depend on unknown parameters, provided that the unknown parameters are replaced with their estimates and provided that the one degree of freedom is deducted from each parameter estimated.

1) So if the estimates ( counts) are missing the test is not applicable.

2) Percentages if treated as counts can be used for the χ² test.

Answer:

D) 16

Step-by-step explanation:

it is going up by twelve each time.

so add twelve to 4 to get the answer.

9514 1404 393

Answer:

  4. "corresponding angles"

Step-by-step explanation:

We presume you're looking for an error in the proof.

The error is in Reason 4. The reason shown refers to "alternate interior" angles, but names "corresponding" angles.

The proof will be correct if the wording "alternate interior" is replaced by "corresponding" in Reason 4.

Answer:

Very simple. 0.03125

Step-by-step explanation: 0.5x0.5x0.5x0.5x0.5=0.03125

Answer:

115

Step-by-step explanation:

When two parallel lines are intersected by a third line, the angles on both parallel lines are congruent.

Knowing this we can determine that angle 1 is 65 degrees.

Additionally, we know that angle 1 + angle 2 = 180 degrees.

From there we can substitute the measures to determine that 65 + x = 180 and x = 115

Answer:

98 bracelets are in the box

Answer:

112

Step-by-step explanation:

Answer:

♥♥♥

I tried solving this answer and got 25.2. So, I think you're answer will be 25.

Step-by-step explanation:

I divided 63 by 2.5. Hope I helped.

Answer:

B. A pencil

Hope it works

Answer:

The Answer is A. $107.25

Step-by-step explanation:

Answer:

By the Central Limit Theorem, the sampling distribution is approximately normal, with mean 8989 and standard deviation 52.92.

Step-by-step explanation:

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

Mean number of steps per day is 8989 with a standard deviation of 688.

This means that [tex]\mu = 8989, \sigma = 688[/tex]

Describe completely the sampling distribution of the resulting mean number of steps per day for this sample of 169 VCU students who track their steps each day.

Sample of 169 means that [tex]n = 169[/tex]

By the Central Limit Theorem, the sampling distribution is approximately normal, with mean [tex]\mu = 8989[/tex] and standard deviation [tex]s = \frac{688}{\sqrt{169}} = 52.92[/tex].

Answer:

x = 29

Step-by-step explanation:

All triangle angles add up to 180 so:

x + 17 + 2x + 5 + 3x - 16 = 180

6x + 6 = 180

6x = 180 - 6

6x = 174

x = 29

Answer:

B. 28

Step-by-step explanation:  

Answer:

B. 28

Step-by-step explanation:

for every 4 boys there is 3 girls

so,

from 4 to 16 you multiply by 4,

4 x 4 = 16 (what you do to one you do to the other:

4 x 3 = 12

It's asking for the total amount

if there is 16 boys there is 12 girls with the ration of 16:12

add them up,

16 + 12 = 28 (That's your answer).

Answer:

Ernesto's construction is wrong.

Step-by-step explanation:

Ernesto's construction is wrong.

This is because when bisecting an angle, the first thing we do is to place the compass at the vertex of the angle we want to bisect and draw an arc that will cross both lines that form the angle.

In Ernesto's case the arc drawn was not a single one but drawn separately as is seen in the image.

The arc on line AV does not continue to line VI but instead he drew another arc with different compass width on line VI before bisecting the angle.

Answer:

Step-by-step explanation:

The slope is given to you by the line y = 1/4 x

The slope is just read as the number in front of x providing that the coefficient of y is 1. If that is not so, then you must divide by the coefficient in front of y. So far what you have is y = 1/4 x + b.

The second part of the question is to use the given point to find b.

x = 4

y = -1

b = ?                       substitute x and y to find b

y = 1/4 * 4 + b

- 1 = 1/4 * 4 + b

-1 = 1 + b

-2 = b

The equation of the line is y = 1/4 x - 2 Just to confirm this, I'm going to include the graph with the point 4,-1 on it.

Answer:

H0 : μ = 8.5

H1 : μ > 8.5

1 sample t test ;

Test statistic = 2.53

Pvalue = 0.994

No, we fail to reject the Null ;

There is no significant evidence to support the Claim that the mean running time of light bulb is greater Tha last year.

Step-by-step explanation:

H0 : μ = 8.5

H1 : μ > 8.5

Test statistic :

(xbar - μ) ÷ (s/sqrt(n))

(8.7 - 8.5) ÷ (0.5 / sqrt40)

Test statistic = 2.53

The Pvalue :

P(Z < 2.53) = 0.9943

Pvalue = 0.994

Decison region :

Reject H0 ; if Pvalue < α

0.9943 > 0.05 ; We fail to reject the Null

Answer/Step-by-step explanation:

Given:

-x + 3x + 1 + 4(x + 2) = 54

To solve, first open the bracket by applying the distributive property. Multiply every term you have in the bracket by 4

-x + 3x + 1 + 4x + 8 = 54

Add like terms together

6x + 9 = 54

Subtract 9 from each side

6x = 54 - 9

6x = 45

Divide both sides by 6

x = 45/6

x = 7.5

Answer:

I wanna say 18 but I'm not to sure

x?+6x^2+12x-136

I think this is the answer

Answer:

6x2−11x−136

Step-by-step explanation:

Let's simplify step-by-step.

6x2−12x+48−(−x+247−63)

Distribute the Negative Sign:

=6x2−12x+48+−1(−x+247−63)

=6x2+−12x+48+−1(−x)+(−1)(247)+(−1)(−63)

=6x2+−12x+48+x+−247+63

Combine Like Terms:

=6x2+−12x+48+x+−247+63

=(6x2)+(−12x+x)+(48+−247+63)

=6x2+−11x+−136

Answer:

0

Step-by-step explanation:

Because

Answer:

True

For the cube root function f(x)=3√x f ( x ) = x 3 , the domain and range include all real numbers. Note that there is no problem taking a cube root, or any odd-integer root, of a negative number, and the resulting output is negative (it is an odd function).

Hope that helps!

Step-by-step explanation:

Answer:

$11343.13

Step-by-step explanation:

From the given information:

Principal = 3000

rate = 7% = 0.07

time = 19 years.

The amount of investment after 19 years for a continuous compounded interest can be estimated by using the formula:

[tex]A = Pe^{rt} \\ \\ A = 3000 \times e^{0.07 \times 19} \\ \\ \mathbf{A = \$11343.13}[/tex]

Answer:

i cant see the graph

Step-by-step explanation:

Answer:

A because if you times 14 by three it would become 42 and always inequalities have to multiply.

Hope I helped :)

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

v/3 ≤ - 14

x 3    x 3

v ≤ -42

Answer:

8/19

Step-by-step explanation:

The probability that a student is chosen randomly from the class passed the test and completed the homework will be 0.1637.

Probability means possibility. It deals with the occurrence of a random event. The value of probability can only be from 0 to 1. Its basic meaning is something is likely to happen. It is the ratio of the favorable event to the total number of events.

In a math class with 19 students, a test was given the same day that an assignment was due.

There were 10 students who passed the test and 11 students who completed the assignment.

There were 6 students who failed the test and also did not complete the assignment.

Then the probability that a student is chosen randomly from the class passed the test and completed the homework will be

The number of the student who has done at least one assignment or passed the test is 19 - 6 = 13

n(A) = passes student

n(B) = given assignment

Then we have

[tex]\rm n(A \cap B) = n(A) + n(B) - n(A \cup B) \\\\n(A \cap B) = 10 + 11 - 13\\\\n(A \cap B) = 8[/tex]

Then the probability will be

[tex]\rm P = \dfrac{^8C_2}{^{19}C_2}\\\\P = \dfrac{28}{171}\\\\P = 0.1637[/tex]

More about the probability link is given below.

https://brainly.com/question/795909

#SPJ2

Answer:

hi!!! the answer is x = weight in pounds of bananas in the basket!

hope that helped

Step-by-step explanation:

so we have the total of the apple in the basket so we already know the apple but we need to know the bananas weight in the basket!