1. Name angle 'x'

2. calculate the size of angle 'y'

​

Answer:

The nth term of this number sequence 18, 16, 14, 12,... will be -2n + 20.

First term = 18

Second term = 16

Common difference = 16 - 18 = -2

It should be noted that the formula for finding the next term of an arithmetic sequence will be:

= a + (n - 1)d

= 18 + (n - 1) × -2

= 18 - 2n + 2

= -2n + 20

Therefore, the nth term of this number sequence 18, 16, 14, 12,... will be -2n + 20.

Step-by-step explanation:

Using the Central Limit Theorem, it is found that the distribution of the sample means of the weights of the 7 adult standard poodles is normal, with mean of 50 pounds and standard deviation of 5.67 pounds.

The Central Limit Theorem establishes 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].

In this problem, for the population, [tex]\mu = 50, \sigma = 15[/tex].

The distribution of the sample means of the weights of the 7 adult standard poodles is normal, with mean of 50 pounds and standard deviation of 5.67 pounds.

A similar problem is given at https://brainly.com/question/25606713

Work Shown:

[tex]a^2 + b^2 = c^2\\\\b^2 = c^2 - a^2\\\\b = \sqrt{c^2 - a^2}\\\\b = \sqrt{29^2 - 21^2}\\\\b = \sqrt{841-441}\\\\b = \sqrt{400}\\\\b = 20\\\\[/tex]

I applied the pythagorean theorem.

Answer:

0

Step-by-step explanation:

1. First, we should know the slope-intercept form of any equation: y = mx + b.

2. In the equation y = -2/3(x), it appears that the variables we can see are y, m, and x. However, the y-intercept, b, is still there with the value of 0.

Therefore, the y-intercept is 0.

The formula for determining the mean from the probability distribution table is expressed as mean = summation(x * P(x))

Thus, we have

x | p(x) | xp(x)

3 | 0.14 | 0.42

6 | 0.05 | 0.3

9 | 0.36 | 3.24

12 | 0.35 | 4.2

15 | 0.10 | 1.5

Mean = 0.42 + 0.3 + 3.24 + 4.2 + 1.5 = 9.66

The last option is correct.

Answer:

0

Step-by-step explanation:

Because Rory's higher average and Lane's higher average is 96 in Quiz 3.

96-96=0

9514 1404 393

Answer:

  ∠B = 79°

Step-by-step explanation:

Vertical angles are congruent, so you have ...

  6x -11 = 5x +4

  x = 15 . . . . . . . . . . . add 11 -5x to both sides

  5x +4 = 5·15 +4 = 79

The angles measure 79°.

_____

Checkk

  ∠A = 6x -11 = 6·15 -11 = 90 -11 = 79

Answer: 5/8

Step-by-step explanation:

Answer:

5/8

Step-by-step explanation:

1/4=2/8

2/8+3/8=5/8

distance from the point to O, so it can never be negative so answer is

b.oppsite

Step-by-step explanation:

the rules of logarithm.

log(a×b) = log(a) + log(b)

log(a^b) = b×log(a)

2×log(x) = log(16) + log(4)

now, using the above knowledge :

log(x²) = log(16×4)

=>

x² = 16×4 = 64

x = ±8

and since a logarithm of a negative number is undefined the only plausible solution is

x = 8

Answer:

y = -5/2x + 22

Step-by-step explanation:

y = mx + b

2 = -5/2(8) + b

2 = -40/2 + b

2 = -20 + b

22 = b

y = -5/2x + 22

[tex]y = -\frac{1}{2}x - 1[/tex]

Step-by-step explanation:

Let's pick two points on the line: [tex]P_1(-4, 1)[/tex] and [tex]P_2(2, -2).[/tex] Let's calculate the slope of this line using these points:

[tex]m = \dfrac{y_2 - y_1}{x_2 - x_1} = \dfrac{-2 - 1}{2 - (-4)} = -\dfrac{1}{2}[/tex]

With this value of the slope, we can write the general slope-intercept form of the equation as

[tex]y = -\frac{1}{2}x + b[/tex]

To solve for the y-intercept b, let's use either P1 or P2. I'm going to use P2:

[tex]-2 = -\frac{1}{2}(2) + b \Rightarrow b = -1[/tex]

Therefore, the slope-intercept form of the equation is

[tex]y = -\frac{1}{2}x - 1[/tex]

[tex]\cos \theta = \dfrac 12\\\\\implies \theta = 2n\pi \pm \dfrac{\pi}3\\\\\text{For n =0 ~ \text{and}~ n=1}\\\\\\\theta = \dfrac{\pi}3 , \dfrac{5\pi}{3}\\\\\text{In degrees,}\\\\\theta = 60^{\circ} , ~ 300^{\circ}[/tex]

Answer:

(x+1.5)^2 -10.25

Step-by-step explanation:

1)first, we half 3 to give us 1.5

(x+1.5)^2

2)square 1.5=2.25

so far we have (x+1.5)^2 - 2.25 --- the negative sign from 2.25 is part of the formula

3)we subtract 8 from -2.25. the 8 comes from here shown in bold ----- x^2+3x-8

4) (x+1.5)^2 -2.25 - 8

5)simplify the last part by doing -2.25 - 8= -10.25

6)answer is (x+1.5)^2 - 10.25

Answer

11 out of 12

11/12

Step-by-step explanation:

Answer:

C = 50°

Step-by-step explanation:

In the given figure, it tells us which angles are the same. ( You can look at the red marks. )

So, 68 + 62 = 130.

As we all know, the sum of all angles in any triangle is 180.

So, 180 - 130 = 50.

That is Angle C.

I hope it helps.

[tex]\huge\text{\bf Hey there!}[/tex]

[tex]\large\text{\bf Guide to remember}\downarrow\\\large\textsf{2 negatives = positive}\\\large\textsf{1 negative \& 1 positive = negative}\\\large\textsf{2 positives = positve}\\\large\textsf{1 positive \& 1 negative = negative}[/tex]

[tex]\large\text{This means your answer will most likely be a \boxed{\text{negative}} because}\\\large\text{you have a negative number (-9) \& a positive number (3).}[/tex]

[tex]\large\boxed{\mathsf{-9 \div 3}}\\\large\boxed{\mathsf{= \dfrac{-9}{3}}}\\\large\boxed{\mathsf{= \dfrac{-9\div3}{3\div3}}}\\\large\boxed{\mathsf{= \dfrac{-3}{1}}}\\\large\boxed{\mathsf{= -3\div 1}}\\\large\boxed{\mathsf{= -3}}\\\\\\\\\\\huge\boxed{\text{Therefore. your answer is: \boxed{\textsf 3}}}\huge\checkmark[/tex]

[tex]\huge\text{\bf Good luck on your assignment \&}\\\huge\text{\bf enjoy your day!}[/tex]

x = -3 ==> 2(-3) + 1 = (-6) + 1 = -5

x = 9 ==> 2(9) + 1 = 18 + 1 = 19

x = 15 ==> 2(15) + 1 = 30 + 1 = 31

Answer:

If in you little HMH thing it is 4044.8

Answer:

a. = 36km

b. Perimeter = 108km

c. Area = 486km^2

Step-by-step explanation:

Pythagoras theorem

a^2 + b^2 = c^2

27^2 + b^2 = 45^2

b^2 = 45^2 - 27^2

b^2 = 1296

b = [tex]\sqrt{1296}[/tex]

b = 36km

Perimeter

a + b + c

27 + 36 + 45 = 108

Perimeter = 108km

Area = [tex]\frac{ab}{2}[/tex]

Area = [tex]\frac{27 * 36}{2}[/tex]

Area = [tex]\frac{972}{2}[/tex]

Area = 486km^2

Step-by-step explanation:

Triangle KLN has 3 equal angles so all sides of it must be equal ( equilateral triangle)

y+3=10

y=7

Triangle LNM has 2 equal angles as in an isosceles triangle so LN= ML

So sides opposite to equal angles must be equal too

x-6=y+3

x-6= 10

x= 16

Answer:

Answer:

[tex] \: [/tex]

A. The sales tax will be $ 22.999425

so, the sales tax » $ 23

5.75 % of $ 399.99

B. The Total Purchase will be →

or

9514 1404 393

Answer:

  -3, 13

Step-by-step explanation:

8 units to the left of 5 on the number line is 5-8 = -3.

8 units to the right of 5 on the number line is 5+8 = 13.

The possible locations of Y are -3 or 13.

[tex]n^{th}\textit{ term of a geometric sequence} \\\\ a_n=a_1\cdot r^{n-1}\qquad \begin{cases} a_7=\stackrel{7^{th}\ term}{192}\\ 7=\textit{term position}\\ a_1=\textit{first term}\\ r=\stackrel{\textit{common ratio}}{2} \end{cases} \qquad \qquad a_7=a_1\cdot 2^{7-1} \\\\\\ 192=a_1\cdot 2^6 \implies 192=64a_1\implies \cfrac{192}{64}=a_1\implies \boxed{3=a_1}[/tex]

Answer:

12cm by 15cm

8cm by 10cm

4cm by 5cm

Step-by-step explanation:

it is made smaller so any values smaller than 15cm but in ratio of 4:5 can be answer

Answer:

15 cm is the new dimensions of new photograph

Step-by-step explanation:

initial dimension of shorter side = 8 cm

initial dimension of longer side = 10 cm

final dimension ofshorter side = 12 cm

finial dimension of longer side = x cm

The enlargement always ensure the aspect ratio

aspect ratio = lonter side/shorter side

equating, [tex]\frac{10}{8}[/tex] = [tex]\frac{x}{12}[/tex]

Solving for x,

10 × 12 = 8 × x

[tex]x = \frac{10 x 12 }{8} = \frac{120}{8 } = 15[/tex]

        /\

        that says 10 x 12

longer side is 15cm

(Hope this helps can I pls have brainlist (crown)☺️)

Answer:

1 pound = 1.389 dollars  ( to nearest thousandth)

Step-by-step explanation:

1 pound = 1/0.72 =  1.388888...

Answer:

0.24

Step-by-step explanation:

There is nothing, after the hundredths (4), to round it, So 0.24 is already rounded to the nearest hundredths.

The number 0.024 after rounded off to the nearest hundred its become 0.02.

Rounding numbers refers to changing a number's digits such that it approximates a value. The provided number is more simply represented by this value. For instance, 700,000 rather than 698,869 could be used to express a town's population.

Given that;

The number is,

⇒ 0.024

Now, After rounding off to the nearest hundred, we get;

⇒ 0.024 ≈ 0.02

( Because 4 is less than 5. )

Learn more about the rounding number visit:

https://brainly.com/question/1620496

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