x-7= -3(x+1) over 5

What is x?

Lol, channel be asking for a 100 dollars for a f-ing straw

A conclusion which can be inferred about an individual score that corresponds to a z-value of 1.0 is that: c.) it is likely to come from the healthy distribution.

A z-value is also referred to as a z-score or standard score and it can be defined as a measure of the distance between a raw score and the mean, when standard deviation units are used.

In Statistics, z-values can either be positive or negative and it can be calculated by using this formula:

\(Z=\frac{x\;-\;u}{\delta}\)

Where:

Since the individual score that corresponds to a z-value of 1.0, we can reasonably infer and logically conclude that an individual score is likely to come from the healthy distribution.

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Complete Question:

Scores of healthy adults on a neurological test form a normal distribution with mean = 100 and SD = 15. What conclusion can be inferred about an individual score that corresponds to a z value of 1.0?

a.) it falls in the general region of the population

distribution

b.) it falls in the common region of the distribution

c.) it is likely to come from the healthy distribution

d.) it is unlikely to come from the healthy distribution

Answer:

3pi

Step-by-step explanation:

all of the other ones are out of range

The equation for temperature change is T = -1.5t + 29 and the number line is plotted.

What is a number line?

A picture of numbers on a straight line is called a number line. It serves as a guide for contrasting and arranging numbers. Any real number, including all whole numbers and natural numbers, can be represented by it.

Let T represent the temperature in degrees Celsius, and let t represent the time in hours after lunchtime.

Then write an expression for the situation as follows:

T = -1.5t + 29

Here, -1.5t represents the decrease in temperature per hour, since the temperature is dropping at a rate of 1.5 degrees Celsius per hour.

Adding 29 to -1.5t gives the initial temperature of 29 degrees Celsius at lunchtime.

To illustrate this situation on a number line diagram, we can plot the temperature T as a function of time t.

The diagram would have time t on the horizontal axis and temperature T on the vertical axis.

Label the point (0, 29) on the diagram to represent the temperature at lunchtime, and the point (x, 16) to represent the temperature at sunset, where x is the number of hours after lunchtime.

Then draw a straight line connecting these two points to represent the linear relationship between temperature and time.

The line slopes downward from left to right, indicating that the temperature is decreasing over time.

Therefore, the number line diagram is plotted.

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On Tuesday at lunchtime, it was 29 degrees Celsius. By sunset, the temperature had dropped to 16 degrees Celsius. Please write an expression for the situation, and draw a number line diagram.

\(\bold{\huge{\underline{ Solution }}}\)

Here, We have given

We know that,

Area of triangle

\({\sf{=}}{\sf{\dfrac{1}{2}}}{\sf{ {\times} base {\times} height }}\)

Subsitute the required values,

\({\sf{=}}{\sf{\dfrac{1}{2}}}{\sf{ {\times} 3 {\times} 6}}\)

\(\sf{ = 3 {\times} 3 }\)

\(\bold{ = 9 }\)

Therefore,

Area covered by 4 right angled triangles

\(\sf{ = 4 {\times} 9 }\)

\(\bold{ = 36}\)

Now,

We have to find the area of the big square

We know that,

Area of square

\(\sf{ = Side {\times} Side }\)

Subsitute the required values,

\(\sf{ = 9 {\times} 9 }\)

\(\bold{ = 81 }\)

Therefore,

The total area of shaded region

= Area of big square - Area covered by 4 right angled triangle

\(\sf{ = 81 - 36 }\)

\(\bold{ = 45 }\)

Hence, The total area of shaded region is 45 .

Here,

We have to find the area of non shaded region

According to the question

Let the hypotenuse of the given right angled triangle be x

Therefore,

By using Pythagoras theorem,

That is,

\(\sf{ (Perpendicular)^{2} + (Base)^{2} = (Hypotenuse)^{2} }\)

Subsitute the required values

\(\sf{ (6)^{2} + (3)^{2} = (x)^{2} }\)

\(\sf{ 36 + 9 = (x)^{2} }\)

\(\sf{ x = \sqrt{45}}\)

\(\bold{ x = 6.7 }\)

That means,

We know that ,

Area of square

\(\sf{ = Side {\times} Side }\)

Subsitute the required values,

\(\sf{ = 6.7 {\times} 6.7 }\)

\(\bold{ = 44.89 \:\: or \:\: 44.9 }\)

Therefore ,

Area of non shaded region

= Area of big square - Area of small square

\(\sf{ = 81 - 44.9 }\)

\(\bold{ = 36.1 }\)

Hence, The total area of non shaded region is 36.1 or 36 (approx) .

Here, we have to

The total area of the figure

= Non shaded region + Shaded region

\(\sf{= 36 + 45 }\)

\(\bold{= 81}\)

Hence, The total area of the given figure is 81 .

Answer:

$15

Step-by-step explanation:

For every $13 he earns he saves $5

so 13×3 is 39 and then multiply 5 times 3 and you get 15

your answer is $15

The price of the bond 4 years from today would be approximately $1,036.91.

The yield to maturity (YTM) of the bond can be calculated using the present value formula and solving for the discount rate that equates the present value of the bond's future cash flows to its current market price.

To calculate the YTM, we need to use the bond's characteristics: par value, coupon rate, years to maturity, and current market price. In this case, the bond has a $1,000 par value, a 9% annual coupon rate, 7 years to maturity, and is selling for $1,095.

Using a financial calculator or a spreadsheet, the YTM can be determined to be approximately 6.91%.

Assuming that the YTM remains constant for the next 4 years, we can calculate the price of the bond 4 years from today using the formula for the present value of a bond. The future cash flows would include the remaining coupon payments and the final principal repayment.

Since the bond has a 7-year maturity and we are calculating the price 4 years from today, there would be 3 years remaining until maturity. We can calculate the present value of the remaining cash flows using the YTM of 6.91% and add it to the present value of the final principal repayment.

The price of the bond 4 years from today would be approximately $1,036.91.

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the complete question:

A Bond Has A $1,000 Par Value, 7 Years To Maturity, And A 9% Annual Coupon And Sells For $1,095. What Is Its Yield To Maturity (YTM)? Round Your Answer To Two Decimal Places. % Assume That The Yield To Maturity Remains Constant For The Next 4 Years. What Will The Price Be 4 Years From Today? Round Your Answer To The Nearest Cent. $

A bond has a $1,000 par value, 7 years to maturity, and a 9% annual coupon and sells for $1,095.

What is its yield to maturity (YTM)? Round your answer to two decimal places.

%

Assume that the yield to maturity remains constant for the next 4 years. What will the price be 4 years from today? Round your answer to the nearest cent.

$

Answer:

70%

Step-by-step explanation:

Volume of container A

50.27 * 17 = 854.6cm^3

Volume of container B

113.1 * 11 = 1244.1 cm^3

percent of Container B that is full after the pumping is complete

=

\( \frac{854.6}{1244.1} \times 100\)

= 68.69%

6 feet 7 inches

1 feet = 12 inches

6 feet = 6(12) = 72 inches

6 feet 7 inches = 72 + 7 = 79 inches

Answer:

79 inches

Answer:

a = 10

Step-by-step explanation:

Supplementary angles sum to 180° , so

150 + 3a = 180 ( subtract 150 from both sides )

3a = 30 ( divide both sides by 3 )

a = 10

Answer:

Step-by-step explanation:

isosceles triangles are ones that have two equal sides and angles. this would mean that ab is equal to bc. then you substitute the values in for AB=BC, 3x-4=5x-10. you bring the variables to one side and you flip everything which is then 2x=6 and then divide by 2. this would be x=3. then you have to figure out the AB. 3(3)-4=5. then you can always check for BC, 5(3)-10=5. and they are equal! hope i helped!

Answer:

yes it can be scaline triangle

Answer:

x = 8

y = 36

Step-by-step explanation:

The triangle shown in the image is an isosceles triangle.

We can find the value of x using the above mentioned information:

∠B = ∠A

5x = 40 divide both sides by 5

x = 8

The sum of interior angles in a triangle is equal to 180°.

Since ∠B and ∠C are both 40°:

40 + 40 + 3y - 8 = 180 add/subtract like terms

72 + 3y = 180 subtract 73 from both sides

3y = 108 divide both sides by 3

y = 36

Answer:

Mean = 23

Median = 24

Mode = 24

Step-by-step explanation:

Mean:  The sum of all data values divided by the total number of data values.

⇒ Mean = (24 + 20 + 26 + 24 + 21) ÷ 5 = 23

Median:  The middle value when all data values are placed in order of size.

Ordered data values:  20, 21, 24, 24, 26

⇒ Median = 24

Mode:  The most frequently occurring data value.

20, 21, 24, 24, 26

⇒ Mode = 24

The equation of the parabola with the given vertex and focus is x^2 = 24y.

What is parabola?

A parabola is a U-shaped curve that is symmetric and can either open upward or downward. It is a conic section and is defined as the locus of points equidistant from a fixed point called the focus and a fixed line called the directrix

To find the equation of a parabola with the vertex at the origin (0, 0) and a focus at (-6, 0), we can use the standard form equation for a horizontally-oriented parabola:

(x - h)^2 = 4p(y - k)

where (h, k) represents the vertex coordinates, and p is the distance between the vertex and the focus.

In this case, the vertex is at (0, 0) and the focus is at (-6, 0). The distance between the vertex and focus is given by p = 6 (since the x-coordinate of the focus is 6 units away from the vertex).

Plugging these values into the standard form equation, we have:

(x - 0)^2 = 4(6)(y - 0)

Simplifying further, we get:

x^2 = 24y

Therefore, the equation of the parabola with the given vertex and focus is x^2 = 24y.

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Answer: click on their profile and send a message from those settings^^

Step-by-step explanation:

The value of x in the given figure, which is a series of isosceles triangles is solved to be 116°

An isosceles triangle have a unique property of equal base angles and two equal sides.

Given that a = 16° and from the image, we can calculate the following:

m∠1 = a = 16°  (base angles of isosceles triangle)

m∠2 = a + m∠1 = 16 + 16 = 32° (external angle theorem)

m∠3 = m∠2 = 32° (base angles of isosceles triangle)

m∠4 = 180 - (180 - m∠2 - m∠3) - m∠1

= 180 - (180 - 32 - 32) - 16

= 48

m∠4 = 48°

m∠5 = m∠4 = 48° (base angles of isosceles triangle)

m∠6 = 180 - (180 - m∠5 - m∠4) - m∠3

m∠6 = 180 - (180 - 48 - 48) - 32

m∠6 = 64°

m∠7 = m∠6 = 64° (base angles of isosceles triangle)

x = 180 - m∠7 (supplementary angle)

x = 180 - 64

x = 116

The value of x is 116°

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To solve for missing values, the number of missing values should be equal to the number of equations. The number of missing values that can be present given only one equation is one missing value

From the question, the known quantities are;

h (known) = 1.076 meters

t (known) = 2.6 seconds

(Initialheight) (known) = 2 meters

The missing value is the velocity;

v (not given)

The reason the above elections are correct is as follows:

The known parameters are;

The (initial) height of the cannon from the ground = 2 meters

The time after which the acrobat lands, t = 2.6 seconds

The height of the safety net on which the acrobat lands, h = 1.076 meters

The formula that gives the height, h, to which the acrobat reaches after being shot from the canon is; h = -4.9·t² + v·t + (initialheight)

Where;

h = The height of the acrobat after being shot or launched from the cannon (known)

The height of the acrobat after the given time, h = 1.076 meters

t = The time in seconds after being shot (Known)

The time is given as 2.6 seconds

v = The velocity with which the acrobat was shot out of the cannon (not given)

The velocity with which the acrobat was shot out of the cannon is the missing value

(Initialheight) = The initial height of the acrobat before he was shot from the cannon (known)

The initial height of the was given as the height of the cannon off the ground which is 2 meters

Therefore, the known quantity or quantities that can be substituted into the equation to find the missing value in the scenario are;

h (known) = 1.076 meters

t (known) = 2.6 seconds

(Initialheight) (known) = 2 meters

The missing value is the velocity, v;

v (not given)

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Answer:

"dropouts" (and any subsequent words) was ignored because we limit queries to 32 words.

Step-by-step explanation:

Hope it helps =D

Answer:

The correct ans is...

4 and 5

Hope this helps....

All the solutions are;

1) Circle

2) A point

3) An oval that becomes more elongated as the angle with the horizontal increases.

4) An isosceles triangle.

Since, A cross-section is a plane section that is a section of a three-dimensional object that is parallel to one of its planes of symmetry or perpendicular to one of its lines of symmetry.

Now, We can formulate;

1) Plane Parallel to the circular base, not passing through the tip of the cone:

⇒ Circle.

2) Plane Parallel to the circular base, passing through the tip of the cone:

⇒ A point.

3) Plane not parallel to the base, not passing through the base, and making an angle with the horizontal that is less than that made by the slant height of the cone:

⇒ An oval that becomes more elongated as the angle with the horizontal increases.

4) Plane making an angle with the horizontal that is greater than that made by the slant height, passing through the tip of the cone :

⇒ An isosceles triangle.

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Let's begin by listing out the given information:

scale factor = 4.99

This means that the shape was enlarged by 4.99 to obtain a new shape

The formula for the area of a cylinder is given by:

Area factor = 24.90 (2 decimal places)

Answer:

$62.5

Step-by-step explanation:

Given that:

Initial value of account = $125

Percentage growth of account = 750% of initial value

Worth of account now : (750% of $125) = (750/100) * $125 = 7.5 * $125 = $937.5

Amount less than $1000 in account :

$1000 - $937.5 = $62.5

The distance between the stripes is 4040 feet (distance between curbs) minus 1515 feet (length of the curb between the stripes), which equals 2525 feet.

To find the distance between the two parallel stripes in the crosswalk, we can use the given information about the street. The distance between the parallel curbs of the street is 4040 feet. The length of the curb between the stripes is 1515 feet, and each stripe is 5050 feet long.

Since the crosswalk is bounded by two parallel stripes, the distance between the stripes can be calculated by subtracting the length of the curb between the stripes from the distance between the curbs of the street.

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In rectangle , The width is 8 and the length is 37.

What is a rectangle ?

A rectangle is a sort of quadrilateral with parallel sides that are equal to one another and four vertices that are all 90 degrees apart. Because of this, it is also known as an equiangular quadrilateral.

                              The term "parallelogram" can also be used to describe a rectangle because the opposing sides are equal and parallel.

90 = 2(x + 5 + 4x)

90 = 2(5x + 5)

90 = 10x + 10

80 = 10x

x = 8

So the width is 8 and the length is 37.

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The complete question is -

The length of a rectangle is five inches more than four times it’s width. If the perimeter is 90 inches, find its dimensions

Answer:

Step-by-step explanation:

Answer:

Two weeks: $1570

Four weeks: $3140

One year: 9420

Step-by-step explanation:

The current drawn by 9 identical motors will be 124.2 amps current

Current is the flow of electrical charge carriers like electrons. Current flows from negative to positive points. The SI unit for measuring electric current is the ampere (A). One ampere of current is defined as one coulomb of electrical charge moving past a unique point in a second.

since , one motor of 2hp draws = 13.8 amps current

hence , 9 identical motor will pull = 13.8 * 9 (each will pull same amount of current )

                                                         = 124.2 amps current

The current drawn by 9 identical motors will be 124.2 amps current

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Answer:  The price of one egg is 36/12= Rs 3. For the price of 18 eggs: Rs 3 x 18 = Rs 54.

Step-by-step explanation: