The value of y varies jointly with the values of x and z. When x=4 and z=9, the value of y is 360.

What is the value of y when x=5 and z=12?

Group of answer choices

170

10

600

450

Step-by-step explanation:

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Answer:

Therefore, the correct statements are A, B, and E.

Explanation:

Based on my knowledge, a vector is a quantity that has both magnitude and direction. A scalar is a quantity that has only magnitude. When a vector is multiplied by a scalar, the magnitude of the vector is multiplied by the absolute value of the scalar, and the direction of the vector is either preserved or reversed depending on the sign of the scalar.

To answer your question, we need to find the component form, magnitude, and direction of the scalar product –4⇀

.

- The component form of −4⇀

is obtained by multiplying each component of ⇀

by –4. Therefore, −4⇀

= ⟨–8, –12⟩. This means that statement A is true.

- The magnitude of −4⇀

is obtained by multiplying the magnitude of ⇀

by 4. The magnitude of ⇀

is √(2^2 + 3^2) = √13. Therefore, the magnitude of −4⇀

is 4√13. This means that statement B is true.

- The direction of −4⇀

is opposite to the direction of ⇀

because the scalar –4 is negative. This means that statement C is false.

- The vector −4⇀

is in the third quadrant because its components are both negative. This means that statement D is false.

- The direction of −4⇀

is 180° greater than the inverse tangent of its components because it is opposite to ⇀

. The inverse tangent of its components is tan^(-1)(–12/–8) = tan^(-1)(3/2). Therefore, the direction of −4⇀

is 180° + tan^(-1)(3/2). This means that statement E is true.

Therefore, the correct statements are A, B, and E.

The mean number of movies that the students saw is 13.5 (rounded to the nearest tenth).

To find the mean number of movies the students saw, you need to calculate the average of the given data. Here are the reported numbers of movies seen by the 6 students: 14, 11, 15, 19, 12, 10.

To calculate the mean, you sum up all the reported numbers and divide by the total number of students. In this case, the total number of students is 6.

So, let's calculate the mean:

(14 + 11 + 15 + 19 + 12 + 10) / 6 = 81 / 6 = 13.5

Therefore, the mean number of movies that the students saw is 13.5 (rounded to the nearest tenth).

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Problem

Solution

Let x = age, W= weight the two variables of interest

We have the following probabilities given:

P(x<37) =0.142

P(W< 2500) = 0.051

P(x <37 AND W<2500)= 0.031

And we want the following probability and we can use the total probability rule:

P(x < 37 OR W< 2500) = P(x<37) +P(W< 2500) -P(x<37 AND W<2500)

If we replace we got:

P(x < 37 OR W< 2500)= 0.142+ 0.051- 0.031= 0.162

Mean: 34.125, Median: 31.5, Mode: 38

Mean: 19.222, Median: 18, No mode

Mean: 8.611, Median: 8, Mode: 8

Let's find the mean, median, and mode for each set of numbers:

Set: 40, 38, 29, 34, 37, 22, 15, 38

Mean: To find the mean, we sum up all the numbers and divide by the total count:

Mean = (40 + 38 + 29 + 34 + 37 + 22 + 15 + 38) / 8 = 273 / 8 = 34.125

Median: To find the median, we arrange the numbers in ascending order and find the middle value:

Arranged set: 15, 22, 29, 34, 37, 38, 38, 40

Median = (29 + 34) / 2 = 63 / 2 = 31.5

Mode: The mode is the number(s) that appear(s) most frequently in the set:

Mode = 38 (appears twice)

Set: 26, 32, 12, 18, 11, 14, 21, 12, 27

Mean: Mean = (26 + 32 + 12 + 18 + 11 + 14 + 21 + 12 + 27) / 9 = 173 / 9 ≈ 19.222

Median: Arranged set: 11, 12, 12, 14, 18, 21, 26, 27, 32

Median = 18

Mode: No mode (all numbers appear only once)

Set: 3, 3, 4, 7, 5, 7, 6, 7, 8, 8, 8, 9, 8, 10, 12, 9, 15, 15

Mean: Mean = (3 + 3 + 4 + 7 + 5 + 7 + 6 + 7 + 8 + 8 + 8 + 9 + 8 + 10 + 12 + 9 + 15 + 15) / 18 ≈ 8.611

Median: Arranged set: 3, 3, 4, 5, 6, 7, 7, 7, 8, 8, 8, 8, 9, 9, 10, 12, 15, 15

Median = 8

Mode: Mode = 8 (appears 4 times)

Mean: 34.125, Median: 31.5, Mode: 38

Mean: 19.222, Median: 18, No mode

Mean: 8.611, Median: 8, Mode: 8

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\(\textbf{Given that,}\\\\~~~\dfrac{5^4}{5^7}\\\\\\=5^{4-7}~~~~~~~~~~~~~~~~~~~~~~~~;\textbf{Apply exponent rule:}~\dfrac{a^m}{a^n} = a^{m-n}\\\\\\=5^{-3}\\\\\\=\dfrac 1{5^3}~~~~~~~~~~~~~~~~~~~~~~~~~~;\textbf{Apply exponent rule:}~ a^{-n} = \dfrac 1 {a^n},~~~a \neq 0 \\\\\\=\dfrac 1{125}\\\\\\=0.008\)

Answer:

\( \frac{1}{125} \)

Step-by-step explanation:

\(1.apply \: exponent \: rules : \frac{ {x}^{a} }{ {x}^{b} } = {x}^{a - b} \)

\( = {5}^{4 - 7} \)

\(2.subtract \: the \: number : 4 - 7 = - 3\)

\( = {5}^{ - 3} \)

\(3.apply \: exponent \: rule : {a}^{ - b} = \frac{1}{ {a}^{b} } \)

\( = \frac{1}{ {5}^{3} } \)

\(4. \: {5}^{3} = 125\)

\( = \frac{1}{125} \)

Answer:

y = 2  when x = 150

Step-by-step explanation:

Inverse variation is

xy = k

5*60 = k

300 = k

xy = 300

150y = 300

Divide by 150

150y/150 = 300/150

y = 2

Answer:

A = (1/2) × Diagonal × (Sum of heights).

Step-by-step explanation:

Please mark me brainliest

John may cover 2.2 miles on day 6.

The correct answer is option (D)

"It is a pictorial representation of data in an organized manner. "

For given question,

The distance that John covers each day during his morning walks is given in the graph.

From the graph we can observe that the highest value on the graph is 4.

Also the data is symmetrical on the left side and on the right side of the highest value.

We need to predict the distance that John may cover on day 6.

It must be the same as it is at day = 0

At day = 0, the distance is 2.2 miles.

Therefore, John may cover 2.2 miles on day 6.

The correct answer is option (D)

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Answer:

c

Step-by-step explanation:

because I had a test on these

Answer:

A

Step-by-step explanation:

From the information given:

To create the required stochastic matrix, we need to take parents who are shown to be vegetarian or nonvegetarian in the column and the children who are vegetarian or nonvegetarian into the row section.

So;

Vegetarian V → 70% →            nonvegetarian NV → 30%

nonvegetarian NV → 40%             vegetarian    V →  60%

                                                           V     NV

The 2x2 stochastic matrix  =     \(\left \Big { {{V} \atop {NV}} \right.} \left [\begin{array} {cc}0.7&0.4\\0.3&0.6\\\end{array}\right]\)

Answer:

your answer is 32 miles per gallon

Step-by-step explanation:

you divide 256/8 and get  32

The given question is incomplete as the graph is missing.

But, considering a line graph, the following parameters can be represented on the x-axis and y-axis:

X-Axis                                                     Y-Axis

Year                                                         Population

Time                                                         Number of employees hired

Identical items purchased                      Total cost in dollars    

What does the blank observed line represent in each graph?  

The blank observed line represents the time. A line graph is basically used to connect the quantitative values over the different time intervals. The change in values over time is easier to estimate, by the help of the line graph. For example: in a graph showing the year on the x-axis and the population on the y-axis, the blank line represents the change in population over the years, the increase or decrease or the rate of change.  

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Answer:

11.7 degrees approximated to 12 degrees

Step-by-step explanation:

couldn't send the answer as 1 photo

Answer:

B. Researchers working for a company test their new sneaker design to see if it helps athletes run faster.

Step-by-step explanation:

The researchers are testing a hypothesis, and they are also in control of certain variables, they're not just observing like C.

gak bisa bahasa inggris.

Step-by-step explanation:

maap.

Answer:

B. 2/3 because the probability of selecting a quarter is 1/3

Step-by-step explanation:

Find the total coins in the purse: 10 + 6 + 5 + 9 = 30. Now find out how many are not quarters: 10 are quarters, 30 - 10 = 20. The probability is 20/30, or 2/3,

Both containers hold the same amount of water.

Given are two solid figures, we need to compare which of them holds more water,

The container one has a base dimension of 3 ft × 180 in with height 90 in. and the second container has base dimension of 3 ft × 180 in with height 90 in.

To compare which container holds more water, we can calculate the volume of each container.

For consistency, let's convert all measurements to a single unit.

1 foot is equal to 12 inches, so the base dimensions of both containers can be expressed as

3 ft × (180 in + 3 ft × 12 in/ft) = 3 ft × 216 in

= 648 in × 648 in.

The volume of a container is calculated by multiplying the base area by the height.

Therefore, the volume of each container can be determined as follows:

Container 1:

Volume = Base area × Height

Volume = (648 in × 648 in) × 90 in

Container 2:

Volume = Base area × Height

Volume = (648 in × 648 in) × 90 in

Since the base dimensions and the height are identical for both containers, their volumes will also be the same.

Therefore, both containers hold the same amount of water.

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The probability that a randomly selected point within the circle would fall in the red- shaded area is 45. 833 %

The arc that is covered by the red - shaded area in the circle has a degree measure of 165 degrees. This is out of the total circle angle measure of 360 degrees.

This therefore means that the probability that a randomly selected point within the circle would fall in the red- shaded area can be found to be :

= Angle measure of red - shaped area / Total area x  100 %

= 165 / 360 x 100 %

=0. 45833 x 100 %

= 45. 833 %

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Answer:

1.32km (answer might differ slightly due to different values of speed of sound, in the range of 320 to 340 ms-1)

Step-by-step explanation:

Speed of lightning = 3 x 10^8 m/s (same as speed of light)

Speed of sound = 330 m/s (most common answer for speed of sound)

Let the time taken for lightning be T seconds

Time taken for thunder to reach her = (T + 4) seconds

Hence, an equation can be formed

Distance between lightning and her = Distance between thunder and her

Distance = Speed x Time

T(3x 10^8) = (T+4)(330)

((3 x 10^8) - 330)T = 4(330)

Solving, T = 4.40 x 10^-6

Hence,

Distance from storm = (4.40 x 10^-6)(3 x 10^8) metres

                                  = 1320m

                                   = 1.32 km

Answer:

0.8 miles(as kilometers 1.28748)

Step-by-step explanation:

You have 4 seconds and then you divide by 5 and then you get 0.8 miles turn that into kilometers and you get 1.28748.

Answer:

Average is HIGHER than the new gas station price.

If we included this into the average, the average would have been lowered.

Note:

If we had a lot of values, then the average would have been lowered by a lessened amount than if we were to have really less values.

Average = 2.08

New Value = 1.88

The new value is LESS than the average, so including it into the calculation would make the average LOWER.

Answer:

140

If that's wrong, try 147

Step-by-step explanation:

With this brief sequence of numbers, we can see that the function is linear, and increases by 7 each term, with the first term at -21, and therefore, the "0th" term, or the y-intercept, at -28. With this information we can create a function in slope intercept form (y=mx+b):

\(y=7x-28\\\),

where our m (slope) is 7, and our b (y-intercept) is -28.

If this doesn't make sense, then the easiest way is to just keep adding seven to the previous number until you get to the 24th term.

Hope this helps!

Answer:

36 square inches.

Step-by-step explanation:

volume is given by 1 by 3, into base into height is based. His height and volume and area of the base is given by area of the ashe area of the base is given by 3 into 60 by 5. As given in the question on solving it, we get it equals to 36 square inches.

Step-by-step explanation:

the area of a rectangle is

length × width

the perimeter of a rectangle is

2×length + 2×width

so,

length×width = 48 cm²

2×length + 2×width = 28 cm

length + width = 14 cm

length = 14 - width

we use this in the first equation :

(14 - width) × width = 48

14×width - width² = 48

-width² + 14×width - 48 = 0

a quadratic equation

ax² + bx + c = 0

has the general solution

x = (-b ± sqrt(b² - 4ac))/(2a)

in our case

x = width

a = -1

b = 14

c = -48

width = (-14 ± sqrt(14² - 4×-1×-48))/(2×-1) =

= (-14 ± sqrt(196 - 192))/-2 =

= (-14 ± sqrt(4))/-2 =

= (-14 ± 2)/-2 =

= 7 ± 1

width1 = 7 + 1 = 8 cm

width2 = 7 - 1 = 6 cm

length1 = 14 - width1 = 14 - 8 = 6 cm

length2 = 14 - width2 = 14 - 6 = 8 cm

so, we see, one of them must be 8 cm, and the other 6 cm.

let's length be the longer side, so

length = 8 cm

width = 6 cm

Answer:

---------------------------

Given is the parallelogram.

Area of a parallelogram:

Substitute the values and find the area:

The sequence is decreasing as n increases and sequence converges to the value 0.

The given sequence is defined as aₙ = 1 / (7n + 3).

To determine if the sequence converges or diverges, we need to analyze its behavior as n approaches infinity.

As n increases, the denominator 7n + 3 also increases which means that the values of aₙ will get smaller and smaller, approaching zero as n becomes larger.

The sequence converges to the value 0.

The sequence is decreasing as n increases.

The sequence converges to the value 0.

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Answer:

18

Step-by-step explanation:

18 ice cubes will be in each tray

There are 18 ice cubes per tray.

The ratio can be defined as the number that can be used to represent one quantity as a percentage of another. Only when the two numbers in a ratio have the same unit can they be compared. Ratios are used to compare two objects.

Given, 5 trays with 90 ice cubes.

Since there are 90 ice cubes in 5 trays

So,

ice cubes in 5 trays = 90

Ice cubes in 1 tray = 90/5

Ice cubes in 1 tray = 18

Unit rate:

Unit rate is the ratio of two different units, with the denominator as 1. For example, kilometer/hour, meter/sec, miles/hour, salary/month, etc. Arithmetic is probably the most basic and ancient branch of mathematics and is quite commonly used in our day-to-day life.

Therefore, There are 18 ice cubes per tray.

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