When the expression 3(n + 7) is evaluated for a given value of n, the result is 33. What is the value of n.

Answer:

-8

Step-by-step explanation:

-2*(x+5)=6

Divide both sides by -2

x+5=-3

x=-3-5

x=-8

Answer -

Discount -

24.50 x 30/100

24.5 x 0.3 = 7.35 saved

24.5 - 7.35 = 17.15

Discount you saved $7.35 , which brings you price 17.15

tax -

17.15 + 0.34 = 17.49

With taxes you pay 17.49

HOPE THIS HELPS :)

Using the z-distribution, we have that:

a)

The hypothesis test is:

The p-value is of 0.0668.

The critical value is [tex]z^{\ast} = -1.28[/tex]

b) Since the test statistic is less than the critical value for the left-tailed test, there is enough evidence to conclude that the null hypothesis will be rejected.

Item a:

At the null hypothesis, it is tested if the mean is of 7.4 minutes, that is:

[tex]H_0: \mu = 7.4[/tex]

At the alternative hypothesis, it is tested if the mean is lower than 7.4 minutes, that is:

[tex]H_1: \mu < 7.4[/tex]

We have the standard deviation for the population, hence, the z-distribution is used.

The test statistic is given by:

[tex]z = \frac{\overline{x} - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]

The parameters are:

For this problem, the values of the parameters are: [tex]\overline{x} = 7.1, \mu = 7.4, \sigma = 1.2, n = 36[/tex].

Hence, the value of the test statistic is:

[tex]z = \frac{\overline{x} - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]

[tex]z = \frac{7.1 - 7.4}{\frac{1.2}{\sqrt{36}}}[/tex]

[tex]z = -1.5[/tex]

Using a z-distribution calculator, the p-value is of 0.0668.

Also using a calculator, considering a left-tailed test, as we are testing if the mean is less than a value, the critical value with a significance level of 0.1 is of [tex]z^{\ast} = -1.28[/tex].

Item b:

Since the test statistic is less than the critical value for the left-tailed test, there is enough evidence to conclude that the null hypothesis will be rejected.

You can learn more about the use of the z-distribution to test an hypothesis at https://brainly.com/question/16313918

Answer:

[tex]Both \: the \: moon \: and \: earth \: are \: in \: \\ the \: shape \: of \: spheres. \\ Surface\: area \: of \: a \: sphere \: of \: radius \: 'r' \\ [/tex]

Let d1 be the diameter of the moon and d2 and be the diameter of the earth.Let r1 be the radius of the moon and r2 be the radius of the earth.

[tex]given \: d1 = \frac{1}{4}d2 \\ = > 2r1 = \frac{1}{4} ×2r2 \\ =>r1 = \frac{1}{4}×r2 \\ Now, \: ratio \: of \: \: their \: surface \: areas \: is: \\ = s1: s2 \\ = r {1}^{2}: r {2}^{2} \\ = {1}^{2 } : {4}^{2 } \\ =1:16[/tex]

Answer:

look below :)

Step-by-step explanation:

Ok so the formula for the area of a triangle is (l x w) / 2

and the formula for the area of a square is l x w.

The area of the square is 2 x 2 = 4.

so the area of the square = 4cm²

the area of the triangle is 2 x 4 = 8.

8 / 2 = 4

so the area of the triangle is also 4cm².

Hope this helped!

Answer:

8.9443

Step-by-step explanation:

d = √((x2-x1)2 + (y2-y1)2)

Step by step procedure:

Find the difference between coordinates:

(x2-x1) = (-9 - -1) = -8

(y2-y1) = (2 - -2) = 4

Square the results and sum them up:

(-8)2 + (4)2 = 64 + 16 = 80

Now Find the square root and that's your result:

Exact solution: √80 = 4√5

Approximate solution: 8.9443

Answer:

thanks

Step-by-step explanation:

Answer:1- $52 {40+12(1)=}

5- $100 {40+12(5)=}

10 - $160 {40+12(10)=}

50 - $640 {40+12(50)=}

Answer:

i think x=1 y=3 (1,3)

Step-by-step explanation:

2x+4x-1 = 5

x = 1

y = 4x-1

y = 4(1)-1

y = 4-1

y = 3

Answer:

32p + 24

Step-by-step explanation:

Distribute the 8 to each term

8 * 4p = 32p

8 * 3 = 24

Answer:

y+5=-3(x-2)

Step-by-step explanation:

m=(y2-y1)/(x2-x1)

m=(10-(-5))/(-3-2)

m=(10+5)/-5

m=15/-5

m=-3

y-y1=m(x-x1)

y-(-5)=-3(x-2)

y+5=-3(x-2)

Answer

588 is the exact answer. Which is about 590 or 600.

Step-by-step explanation:

Answer:

[tex]y=\frac{6}{13}x+\frac{107}{13}[/tex]

Step-by-step explanation:

(x1, y1) = (-7, 5)

(x2, y2) = (6, 11)

The firs thing to do is fine the slope. That is the distance between the y-coordinates divided by the distance between the x-coordinates:

[tex]m=\frac{y2-y1}{x2-x1}[/tex]

I marked the points above as points 1 and 2, so you can plug those numbers into the formula:

[tex]m=\frac{11-5}{6--7}\\\\m=\frac{6}{13}[/tex]

That fraction can't be simplified any further, so the slope of this line is 6/13. The next thing to do is to find the y-intercept.

[tex]y=mx+b[/tex]

Plug the slope and any point of your choice into the equation. I'll use point b:

[tex]11=(\frac{6}{13})6+b[/tex]

Now, solve for b:

[tex]11=\frac{36}{13}+b\\\\11-\frac{36}{13}=b\\\\\frac{143}{13}-\frac{36}{13}=b\\\\\frac{107}{13}=b\\\\b=\frac{107}{13}[/tex]

They're far from clean, but those are the correct slope and y-intercept. Using those, the equation for this line is:

[tex]y=\frac{6}{13}x+\frac{107}{13}[/tex]

You can confirm that this is the correct equation by checking it with one of the points. Plug in one of the known values of x and make sure it gives the correct value of y:

[tex]y=\frac{6}{13}(-7)+\frac{107}{13}\\\\y=\frac{-42}{13}+\frac{107}{13}\\\\y=\frac{65}{13}\\\\y=5[/tex]

That works out.

Answer:

I am 14 years old

Step-by-step explanation:

Answer:

almost 9

Step-by-step explanation:

Answer:

[tex]r=\sqrt{\frac{27}{\pi } }[/tex]

Step-by-step explanation:

[tex]\pi r^{2} (12)=324[/tex]

[tex]\pi r^{2} =27[/tex]

[tex]r^{2} =\frac{27}{\pi }[/tex]

[tex]r=\sqrt{\frac{27}{\pi } }[/tex]

Taking point Z as the origin, the coordinates of the points on ΔBAD are

given by changing the sign of the coordinates of points in ΔDCB.

Reasons:

The given parameters are;

Triangle ΔBAD is the image of ΔDCB following a rotation of 180°.

Required:

The angle congruent to ∠DBA.

Solution:

Given that the rotation of triangle DCB is 180°, we have that the

coordinates of a point (x, y) in ΔDCB is (-x, -y) in ΔDBA.

Therefore, side DC is parallel to side AB

Which gives;

∠DBA is congruent to ∠BDC by alternate interior angles theorem.

∠DBA ≅ ∠BDC

The angle that is congruent to ∠DBA is; option D. ∠BDC

Learn more about rotation transformation here:

https://brainly.com/question/4738741

Answer:

the volume of cylinder = πr²h

h = 5cm

r = 6cm

volume = π × 6² × 5

= π × 6 × 6 × 5

= 180πcm³

Answer:

1100

Step-by-step explanation:

Answer:

A = 55.15

Step-by-step explanation:

Since this is a right triangle, we can use trig functions

cos A = adj side / hypotenuse

cos A = 4/7

Taking the inverse cos of each side

cos ^-1 ( cos A) = cos ^-1( 4/7)

A =55.15009542

To the nearest hundredth

A = 55.15

Answer:

[tex]\huge{\mathfrak{Solution}}[/tex]

[tex]\huge{\bold{ \frac{ {y}^{2} }{36} - \frac{ {x}^{2} }{121} = 1 }}[/tex]

[tex]\huge{\bold{ \frac{(y - k) {}^{2} }{ {a}^{2} } - \frac{(x - h) {}^{2} }{ {b}^{2} } = 1 \: is \: the \: standard \: equation \: with \: center \: (h ,k),semi-axis \: a \: and \: semi-conjugate \: -axis \: b.}}[/tex]

[tex]\huge\boxed{\mathfrak{We \: get,}}[/tex]

[tex](h,k) = (0,0),a = 6,b = 11[/tex]

[tex]For \: hyperbola \: assymtoms \: are \: y = + \frac{a}{b} (x - h) + k[/tex]

[tex]Therefore,y = \frac{6}{11} (x - 0) + 0,y = - \frac{6}{11} (x - 0) + 0[/tex]

[tex]\large\boxed{\bold{y = \frac{6x}{11},y = - \frac{6x}{11} . }}[/tex]

If y²/36 - x²/121 = 1, the asymptotes are y = (36/121) x and y = -(36/121) x.

To find the equations for the asymptotes of the hyperbola represented by the equation y²/36 - x²/121 = 1, we can compare it with the standard form of a hyperbola:

(y - k)² / a² - (x - h)² / b² = 1

where (h, k) represents the center of the hyperbola.

In the given equation, we have y²/36 - x²/121 = 1. To put it in standard form, we need to divide both sides by 1 (which is essentially dividing by 1 on the right side):

y²/36 - x²/121 = 1 / 1

Now, we can see that a² = 36 and b² = 121.

To find the equations of the asymptotes, we use the center (h, k) and the values of a and b. The asymptotes of a hyperbola have equations of the form:

y = k ± (a/b)(x - h)

In this case, the center (h, k) is (0, 0), a² = 36, and b² = 121:

The equations for the asymptotes are:

y = 0 ± (36/121) x

To learn more about asymptotes click on,

https://brainly.com/question/12601454

#SPJ2

The statement correctly describes the resulting image, triangle is C. The reflection preserves the side lengths and angles of triangle. The dilation preserves angles but not side lengths.

Since the triangle is reflected across the y-axis and then dilated by a factor of centered at the origin. These are transformations which include

The operations performed on the triangle are the following

So, the reflection would preserve the side lengths and angles, but the dilation would only preserve the angles.

So, the statement correctly describes the resulting image, triangle is C. The reflection preserves the side lengths and angles of triangle. The dilation preserves angles but not side lengths.

Learn more about transformations here:

https://brainly.com/question/17311824

Answer:

I will help you with this

Answer:

5/9.

Step-by-step explanation:

The slope is the difference in y-values  divided by corresponding difference in x-values.

So here:

Slope = (7-2)/(10-1)

= 5/9.

Step-by-step explanation:

line CD, WE and BD are half of the length of CD

The question states that Bob spends 2 hours a day on the phone [which basically answers the how much time does he spend]. Next, find the total amount of hours in his day, which is 8 [stated in the question].

Write a fraction from the given information;

2/8, then simplify, by diving both the numerator and denominator by 2.

Therefore,

C) 1/4

Answer:

A. 9

Step-by-step explanation:

Multiply 3x with x+2

3x(x+2)

Which is 3x^2+6x

Now substitute x with 1

1^2 is 1

3 times 1 is 3

6 times 1 is 6

3+6 is 9

Thus A.

Hope this helps!

9

Step-by-step explanation:

let 2nd proportion be x

6:x=24:36

6÷x=24÷36

x=6×36÷24

x=9

Answer: I believe he is wrong because when I had to do this it was (a+b)(a+b)-ab

Answer:

See below

Step-by-step explanation:

The population is all American households

The sample is 2,541 of those American households