Please help out with this question

Answer: x = 3

Step-by-step explanation: -7 + 9 = 8 - 6

\(\dfrac{x+4}{3} =7\)

Multiply both sides by 3:

\((\dfrac{x+4}{3} )\times3=(7)\times3\)

\(x+4=21\)

Subtract 4 from both sides:

\(x+4-4=21-4\)

\(\boxed{x=17}\)

Answer:

The probability that on a particular week, the hospital will receive on high BP pregnant woman is 0.0068

Step-by-step explanation:

We use the Exponential distribution,

Since we are given that on average, 5 pregnant women with high blood pressure come per week,

So, average = m = 5

Now, on average, 5 people come every week, so,

5 women per week,

so, we get 1 woman per (1/5)th week,

Hence, the mean is m = 1/5 for a woman arriving

and λ = 1/m = 5 = λ

we have to find the probability that it takes higher than a week for a high BP pregnant woman to arrive, i.e,

P(X>1) i.e. the probability that it takes more than a week for a high BP pregnant woman to show up,

Now,

P(X>1) = 1 - P(X<1),

Now, the probability density function is,

\(f(x) = \lambda e^{-\lambda x}\)

And the cumulative distribution function (CDF) is,

\(CDF = 1 - e^{-\lambda x}\)

Now, CDF gives the probability of an event occuring within a given time,

so, for 1 week, we have x = 1, and λ = 5, which gives,

P(X<1) = CDF,

so,

\(P(X < 1)=CDF = 1 - e^{-\lambda x}\\P(X < 1)=1-e^{-5(1)}\\P(X < 1)=1-e^{-5}\\P(X < 1) = 1 - 6.738*10^{-3}\\P(X < 1) = 0.9932\\And,\\P(X > 1) = 1 - 0.9932\\P(X > 1) = 6.8*10^{-3}\\P(X > 1) = 0.0068\)

So, the probability that on a particular week, the hospital will receive on high BP pregnant woman is 0.0068

The fraction of magazines that were delivered to families who were home written as a decimal is 0.4

Difference between fraction and decimal?

Total number of families = 25

Number of families in home = 10

Then, number of families away = 25 - 10 = 15

Fraction of magazines that were delivered to families who were home

= Number of families in home/ Total number of families

= 10 / 25

= 0.4

Hence, the fraction of magazines that were delivered to families who

were home written as a decimal is 0.4

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Answer:

∠ DFC

Step-by-step explanation:

Supplementary angles are ones that form a 180 degree angle together. the line EFC is made up of angles DFE and DFC. Since straight lines are 180 degrees, DFC is supplementary to DFE

Answer:

Quadratic equation. Linear would be a straight line and exponential would continue to grow; only quadratic equations are shaped like parabolas.

linear

if you add 2 cats to a tree and took one down you would have 0 in the tree so if you add 2+2=4 you can find every answer in the book.

your wellcomed

Answer: Inductive reasoning.

Step-by-step explanation:

         This is an example of inductive reasoning. Inductive reasoning means going from a specific observation (these 10 red roses) to a general conclusion ("all roses are red").

Answer:

10

Step-by-step explanation:

Answer: 3 inches

Explanation:

Through trial and error you can say something like

1^3 = 1*1*1 = 1

2^3 = 2*2*2 = 8

3^3 = 3*3*3 = 27

We stop here since we got a volume of 27

Or you could apply the cube root to 27 to get the answer we are after

\(\sqrt[3]{27} = 27^{1/3} = 3\)

The second portion with 1/3 as the exponent is handy for calculators that don't have a cube root button.

Answer:

About 65%

hope this helps a little

                                                   uh i could never, sorry

Answer:

The angle of elevation from the base to the top of the mountain is 30°.

Step-by-step explanation:

Given: Vertical height of mountain is 650 feet and the distance from the top of the mountain to the base is 1300 feet.

To find: The angle of elevation from the base to the top of the mountain.

Let AB be the height of mountain and BC be the base.

Then, according to question, AB=650 feet and AC=1300 feet.

Let ∠ACB=\(\Theta\).

Then, in ΔABC,

\(sin\Theta=\frac{AB}{AC}\)

⇒\(sin\Theta=\frac{650}{1300}\)

⇒\(sin\Theta=\frac{1}{2}\)

⇒\(\Theta=30\)°

Hence, the angle of elevation from the base to the top of the mountain is 30°.

Answer:

The magnitude of the vector is 9.165 and it's direction is 40.6°

Step-by-step explanation:

A vector quantity is a quantity that has both size (magnitude) and direction. Examples of vector quantities are force, velocity and impulse.

Magnitude of vector v is given by

|v| = √6²+7²

= √36+49

= √84

= 9.165

Direction of vector v is obtained by:

\( \tan( \theta) = \frac{x}{y} \)

\(\theta = {tan}^{ - 1} ( \frac{6}{7}) \)

\(\theta = {40.6°}\)

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The value of p and q is 2 , -8 , The nth term of the series is given by  3 * n² + n-2 ,  the 40th term is 4838 .

A sequence which has n term in its sequence , The difference of the consecutive number is not same , its second difference is same.

The sequence is given as 7; p; -3;q;...

for a linear pattern

7-p = p- (-3) = -3-q

2p = 4

p = 2

and

2+3 = -3 -q

5 +3 = -q

q = -8

The value of p and q is 2 , -8

A quadratic sequence is defined as 2; 12; 28; 50

The next two terms are 77 and 112.

3. The T40 of the sequence is

The nth term of the series is given by

3 * n² + n-2

therefore 40th term is

3 *40² + 40-2

3 *1600 +38

4838

Therefore the 40th term is 4838 .

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Answer:

Jesse will need about 89.5 square inches of gift wrap.

Step-by-step explanation:

We need to find the amount of wrapping paper that will cover the entire outside surface of the cylindrical gift. This means that we need to find its surface area, which is the total area an object's surface occupies.

The formula for cylinder surface area is as follows:

\(A=2\pi rh+2\pi r^{2}\) (where r = radius and h = height)

In this case, the radius, or r, is 1.5 in, and the height, or h, is 8 in. Plugging these values into our formula, we get a total surface area of:

\(A=2\pi rh+2\pi r^{2}\\= 2\pi *1.5*8+2\pi * 1.5^{2} \\= 24\pi +4.5\pi \\=28.5\pi \\ \approx \text{\bf 89.5 \bf $in^{2}$ }\)

Hope this helps!

Answer:

28.5 pi square inches

Step-by-step explanation:

The surface area of a cylinder is the lateral area plus two times the area of the base circle. The lateral area is the perimeter of the base circle times the height, and the perimeter of a circle is 2*pi*r.

Therefore the lateral area is:

LA = Perimeter*Height

     = 2*pi*r*h

     = 2*pi*1.5*8

     = 24pi

The base area would be A = pi*r*r since the bases of cylinders are circles.

BA = pi*r*r

     = pi*1.5*1.5

     = 2.25 pi

Since there are two circles (top AND bottom) in a cylinder, the final surface area of the cylinder would be:

SA = LA + 2BA

     = 24pi + 2*2.25pi

     = 24pi + 4.5pi

     = 28.5 pi

The correct option b: 49° because the angles are supplementary to angle d.

For the given question.

∠d = 131 degrees.

∠d + ∠f = 180  (supplementary angle)

∠f = 180 - 131

∠f = 49 degrees

Now,

∠f = ∠g = 49 degrees (vertically opposite angles)

∠f = ∠c = 49 degrees (alternate interior angles)

Thus, the angle d is supplementary to angle f, c and g.

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Answer:

70°

Step-by-step explanation:

Because line segment OB and OC are both straight lines, then the measure of angle fromed by this two segments is the same in different locations.

0.2019 is a fraction of the toasters that can be expected to fail during the fourth year of use  for  the given statistical studies

As it is the fraction of toasters that can be expected to fail during the fourth year of use. This is determined from a statistical study, which indicates that the fraction of electric toasters manufactured by a certain company that is still in working condition after t years of use is approximately 0.3012. To calculate the fraction of toasters expected to fail during the fourth year of use, we simply subtract 0.3012 from 1, which gives us 0.2019. This means that, according to the statistical study, approximately 20% of the electric toasters manufactured by the company can be expected to fail during the fourth year of use.

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The woman will withdraw $300 given 6%   interest rate annually.

We can use the formula for simple interest to solve this problem:

I = Prt

where I is the interest earned, P is the principal (initial deposit), r is the annual interest rate as a decimal, and t is the time in years. Since the interest rate is given as an annual rate, we need to convert it to a daily rate by dividing by 365:

r = 0.06/365 = 0.00016438356

The time in years is 120/365 = 0.3287671233 years. Now we can plug in the values and solve for I:

I = 300 * 0.00016438356 * 0.3287671233 = 0.01699999999

The interest earned is $0.017, which is negligible. Therefore, the woman will withdraw the entire principal plus any interest earned, which is:

300 + 0.017 = $300.02

Rounding to the nearest dollar, the woman will withdraw $300.

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The shaded region of the rectangle is 242.9 cm² and the shaded region of the sector is 7.1 square units.

Question 17) is a figure of a rectangle and two inscribed circles.

The area of a rectangle is expressed as: A = length × width

The area of a circle is expressed as: A = πr²

Where r is the radius.

To determine the area of the shaded region, we simply subtract the areas of the two circles from the area of the rectangle.

Area = ( Length × width ) - 2( πr² )

Area = ( 40 × 10 ) - 2( π × 5² )

Area = ( 400 ) - 2( 25π )

Area = 400- 50π

Area = 242.9 cm²

Area of the shaded region is 242.9 squared centimeters.

Question 18) is the a figure a sector of a circle and a right triangle.

The area of a sector is expressed as: A = (θ/360º) × πr²

The area of a triangle  is expressed as: A = 1/2 × base × height

To determine the area of the shaded region, we simply subtract the areas of the triangle from the area of the sector.

Hence:

Area = ( (θ/360º) × πr² ) - ( 1/2 × base × height )

Plug in the values:

Area = ( (90/360º) × π × 5² ) - ( 1/2 × 5 × 5 )

Area = 25π/4 - 12.5

Area = 7.1

Therefore, the area of the shaded region is 7.1 square units.

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Answer:

6/8 of a chapter

Step-by-step explanation:

3/8 = 1/2 of an hour

1/2 + 1/2 = 1

Basic Fact ^^

So, we need to add 3/8 + 3/8 or 3/8 x 2

We get : 6/8

He didn't read a whole chapter but he did read 6/8 of a chapter.

Answer:

Step-by-step explanation:

There are 60 min in an hour - 1/5 of an hour=20mim

3/8 x 5 = 15/8 = 1 & 7/8 chapters

The hypotenuse of a right triangle will be $561$.

What is hypotenuse?

In a right triangle, the hypotenuse is the longest side, an "opposite" side is the one across from a given angle, and an "adjacent" side is next to a given angle.

Lengths of legs of a right triangle are given that are $264$ and $495$.

According to The Pythagorean Theorem,

\(hypotenuse^{2} = lenght^{2} + lenght^{2}\\hypotenuse^{2} = 264^{2} + 495^{2}\\\\hypotenuse^{2} = 69,696 + 245,025\\ hypotenuse^{2} = 314,721\\hypotenuse = 561\)

The hypotenuse of a right triangle will be $561$.

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The equation of the graph is f(x) = -1|x + 4| + 3

The graph represents an absolute value function

The equation of an absolute value function is represented as:

y = a|x - h| + k

Where:

Vertex = (h,k)

From the graph, we have:

(h,k) = (-4,3)

So,we have:

y = a|x - (-4)| + 3

Expand

y = a|x + 4| + 3

The graph is opens down.

This means that a < 0

Assume a = -1, the equation becomes

y = -1|x + 4| + 3

Express as a function

f(x) = -1|x + 4| + 3

Hence, the equation of the graph is f(x) = -1|x + 4| + 3

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Answer:

7064

Step-by-step explanation:

Answer:

Perimeter: 33.7 mm

Area: 54 mm

Step-by-step explanation:

If you do 12 + 9.7 + 12 you will get the perimeter, and to get the area you would use the formula A = \(\frac{1}{2}\) x base x height. Since the base is 12 and the height is 9, you would do 12 x 9 x 0.5 to get 54 mm for the area of the triangle.

Answer:

9,000

Step-by-step explanation:

its in the thousands place

Answer:

3 » Millions

7 » Hundred thousands

2 » Ten thousands

\({ \boxed{ \bf{9 \: \dashrightarrow \: thousands}}}\)

7 » Hundreds

6 » Tens

0 » Ones

\({ \underline{ \mathfrak{ \green{Good \: grace}} \: \:⚜ \: \: { \blue{ \mathfrak{Good \: God}}}}}\)

A perfect square refers to a number that is the result of multiplying an integer by itself. In this case, 6^1 is equal to 6.

However, 6 is not a perfect square because it cannot be obtained by multiplying an integer by itself. The perfect squares up to 6^1 would be 1^2 = 1 and 2^2 = 4.