In the diagram of XYZ, which term describes point ?
х
z
w
Y
O A. Circumcenter
O B. Incenter
O C. Orthocenter
D. Centroid

Answer:

Step-by-step explanation:

Step-by-step explanation:

πr²= Area of a circle

In this case:

π16²

So therefore, the answer is A

Hope this helped!

Answer:

1 + 4x - 3 = 6x + 8

4x - 6x = 8 - 1 + 3

-2x = 10|:(-2)

x = -5

Answer: B

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

The product of a number m and 4 is 16

=m×4=16

16÷4=4

Answer:

m=4

Step-by-step explanation:

m and 4 is 16

m=?

m×4=16

m=16÷4

=4

m=4

The linear equation is y = -2x -13 And its graph is attached below:

The equation of the straight line has its slope and given point.

If we have a non-vertical line that passes through any point(x1, y1) has gradient m. then general point (x, y) must satisfy the equation

y-y₁ = m(x-x₁)

Which is the required equation of a line in a point-slope form.

WE have been given that  a line that contains the Point (-5,-3) and has a Slope -2

Therefore, the equation of line would be;

y-y₁ = m(x-x₁)

y + 3 = -2 (x + 5)

y + 3 = -2x - 10

y = -2x -13

HEnce, the line will also go through the point (0, -13)

The linear equation is y = -2x -13 And its graph is attached below:

Learn more about slope here:

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Answer:

this is true since a right triangle has one side that is 90 degrees

Hope This Helps!!!

Answer:

0.0808 = 8.08% probability that the mean battery life would be greater than 526.4 minutes

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Central Limit Theorem

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].

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

The design engineer claims they have a variance of 2916 with a mean life of 518 minutes.

This means that [tex]\sigma = \sqrt{2916} = 54, \mu = 518[/tex]

Sample of 81 batteries

This means that [tex]n = 81, s = \frac{54}{\sqrt{81}} = 6[/tex]

What is the probability that the mean battery life would be greater than 526.4 minutes?

1 subtracted by the p-value of Z when X = 526.4. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

By the Central Limit Theorem

[tex]Z = \frac{X - \mu}{s}[/tex]

[tex]Z = \frac{526.4 - 518}{6}[/tex]

[tex]Z = 1.4[/tex]

[tex]Z = 1.4[/tex] has a p-value of 0.9192

1 - 0.9192 = 0.0808

0.0808 = 8.08% probability that the mean battery life would be greater than 526.4 minutes

Answer:

104°

Step-by-step explanation:

[tex]\frac{sin~B}{18} =\frac{sin~29}{9} \\sin~B=\frac{18}{9} \times sin~29\\sin~B=2~sin~29\\B=sin^{-1}(2 ~sin~29)\\=104^\circ[/tex]

Answer:

go back in the lesson and relearn this is 6th grade work

Answer:

Correct

Step-by-step explanation:

Answer:

answer is <-8/5

and x <-22/12

Answer:

Here the general formula is

[tex]P(X\leq x_{0} )=1 - e^{\frac{-x_{0}}{2} }[/tex]

a) [tex]P(X\leq 2 )= 0.6321[/tex]

b) [tex]P(X\geq 3 )= 0.2231[/tex]

c) [tex]P(X\leq 5 )= 0.9179[/tex]

d) [tex]P(2\leq X\leq 5 )= 0.2858[/tex]

Step-by-step explanation:

Now the solutions are,

a)

[tex]P(X\leq 2 )=1 - e^{\frac{-2}{2} }\\P(X\leq 2 )= 0.6321[/tex]

b)

[tex]P(X\geq 3 )=1-[1 - e^{\frac{-3}{2} }]\\P(X\geq 3 )= 0.2231[/tex]

c)

[tex]P(X\leq 5 )=1 - e^{\frac{-5}{2} }\\P(X\leq 5 )= 0.9179[/tex]

d)

[tex]P(2\leq X\leq 5 )=1 - e^{\frac{-5}{2} }-1 - e^{\frac{-2}{2} }\\P(2\leq X\leq 5 )= 0.2858[/tex]

The number of ways in which the selection of toppings can be made are 36.

        [tex]$_n C_r=\frac{n !}{r ! (n-r) !}[/tex]

Given is that there are 6 toppings at an ice cream shop. You can choose any number of toppings from 0 all the way up to 6.

The total number of ways in which the selection can be made are -

x = 6 x 6 = 36

[x] = 36

Therefore, the number of ways in which the selection of toppings can be made are 36.

To solve more questions on functions, expressions and polynomials, visit the link below -

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Answer:

[tex]\huge\boxed{Answer\hookleftarrow}[/tex]

[tex]2(4x + 7) = 62 \\ 2 \times 4x + 2 \times 7 = 62 \\ 8x + 14 = 62 \\ 8x = 62 - 14 \\ 8x = 48 \\ x = \frac{48}{8} \\ x = 6[/tex]

✍ The value of x is 6.

ʰᵒᵖᵉ ⁱᵗ ʰᵉˡᵖˢ

# ꧁❣ RainbowSalt2²2² ࿐

Answer:

D. x≥ 9

Step-by-step explanation:

√x-9 should be ≥ 0

so, x-9≥0

=> x ≥ 9

Answer:

It already is in standard form btw

Step-by-step explanation:

Answer:

5690 is standard form

five thousand six hundred ninety is word form

5000+600+90 is expanded form

hope this helps

have a good day :)

Step-by-step explanation:

Answer:

we need to know it's width. the questions has not enough information

Answer:

18j+15

Step-by-step explanation:

Answer:

18 j+15

(9j+6)+(9 j+9) 9j+9j +9+9 = 18 j+15

Answer:

let x represent the missing number

3x-8=22

3x=22+8

3x=30

3x/3=30/3

x=10

Step-by-step explanation:

hope this is helpful

Answer:

3x - 8 = 22

Step-by-step explanation:

always use x as "the number"

remember product means multiply!

8 less than the product of three and a number

3x - 8

lastly, "is 22"

"is" means equals

3x - 8 = 22

I hope this helps!!

Answer:

m=13

Step-by-step explanation:

Answer:

calculator on cumputer but 0.21

Step-by-step explanation:

[tex]\sf\purple{17}[/tex] ✅

Step-by-step explanation:

[tex] \frac{5.44}{0.32}[/tex]

To remove the decimal, we divide both the numerator and denominator by 100

[tex] \frac{5.44 \times 100}{0.32 \times 100} \\ = \frac{544}{32} \\ = 17[/tex]

[tex]\large\mathfrak{{\pmb{\underline{\orange{Happy\:learning }}{\orange{!}}}}}[/tex]

Answer:

Step-by-step explanation:

It's a little over 60 mph

110 km = 110 km * 0.6 miles / km = 66 miles

110 km/hour = 66 miles / hour

Answer:

(x-2),(x-1),(x), and(x+1)

Step-by-step explanation:

In this scenario, we are given nothing about the polynomial except its graph. We can start in problems like these by looking at when y=0 and going from there.

In this graph, we can see that y=0 when x=2, 1, 0, and -1. Looking at our options, for y to be 0, there must be a factor where, when we plug x=2 in, y=0. The only option here is (x-2). Similarly, for x=1, we have (x-1), for x=0, we have x, and for x=-1, we have (x+1). The polynomial has 3 turning points, so the polynomial must be of degree 4 or higher.

So far, we have (x-2)(x-1)(x)(x+1). Plugging this in to a graphing calculator, we can see that this fits. To check if x²+2 and x²+1 would work here, it would require guess and check with values/graphing calculators, seeing if they fit. For example, when x=1.5, y is greater than -1 on the graph and our function. However, if we multiplied that by x²+1 or x²+2. when x=1.5, y would balloon downward, and the graph wouldn't fit

Answer: Sum is  51360

Step-by-step explanation: I have heard same legend and it is also told in hih school math books.

There are 160 pairs numbers which sum is 321, also (320 +1) + (319+2) + ... + (160 + 161).    So sum is  160·321

Answer:

Domain: X<5

Range: f(x)∈ R

Step-by-step explanation: