Simplify: ((x-5)3/2)^2/3
X-5
(x - 5)^2
(x – 5^)3

Answer:

b

Step-by-step explanation:

it is the right answer pls believe me

Answer:

see graph

Step-by-step explanation:

Answer: 34767.2

Step-by-step explanation:

given p = $16,000, n = 14 years, y = 5.7%

amount in bank after 14 years = p ( 1 + </100)

= 16,000 (1 + 5.7/ 100) 14

= 34767.2

Answer:

Step-by-step explanation:

Required formula:

Substitute values and solve:

Answer:

x=30°

Step-by-step explanation:

50 + x =80 degree (sum of two interior opposite angles is equal to the exterior angles formed)

x=80-50

x=30 degree

9514 1404 393

Answer:

  3/5 cup of fruit

Step-by-step explanation:

Dave is making 3 times his grandmother's recipe, so for 3 × 1/3 cup of nuts, he needs 3 × 1/5 cup of fruit:

  3/5 cup of fruit for 1 cup of nuts

Answer:

(Opt.D) x = 14

Step-by-step explanation:

<A + <B = 180 (Adjacent angles of a parallelogram are supplementary)

∴36 + 11x - 10 = 180

26 + 11x = 180

11x = 180 - 26

11x = 154

x = 154/11

x = 14

Hope this helps u

Please mark as brainliest

Thank You

Answer:

70

Step-by-step explanation:

X is equal to 70 degrees because angle x and the angle that is 70 degrees are alternate interior angles.

These are alternate interior angles. If two angles are alternate interior angles they are congruent. That means x is also 70 degrees.

Answer:

It’s c I do believe

Answer:

seriously, talk to your teacher. its 21 units squared.

I guess the person who draw this had 18 units squared in mind, but failed to properly draw it.

so none of the options really fit. it's just a badly done problem. not your fault though. its just some of these little things to be just a little mad about.

Answer:

60 different meal packages are possible.

Step-by-step explanation:

Fundamental counting principle:

States that if there are p ways to do a thing, and q ways to do another thing, and these two things are independent, there are p*q ways to do both things.

In this question:

4 types of drinks

5 types of sandwiches.

3 types of chips.

They are independent events, so, by the fundamental counting principle:

4*5*3 = 60

60 different meal packages are possible.

[tex]\huge\bold{Given :}[/tex]

Angle a = 39°

Angle c = 123°

[tex]\huge\bold{To\:find :}[/tex]

The measure of angle b.

[tex]\large\mathfrak{{\pmb{\underline{\orange{Solution}}{\orange{:}}}}}[/tex]

∠ b = 18°

[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\orange{:}}}}}[/tex]

We know that,

[tex]\sf\pink{Sum\:of\:angles\:of\:a\:triangle\:=\:180°}[/tex]

➪ ∠ a + ∠ b + ∠ c = 180°

➪ 39° + ∠ b + 123° = 180°

➪ ∠ b + 162° = 180°

➪ ∠ b = 180° - 162°

➪ ∠ b = 18°

Therefore, the measure of ∠ b is 18°.

[tex]\large\mathfrak{{\pmb{\underline{\blue{To\:verify}}{\blue{:}}}}}[/tex]

∠ a + ∠ b + ∠ c = 180°

✒ 39° + 18° + 123° = 180°

✒ 180° = 180°

✒ L. H. S. = R. H. S.

[tex]\boxed{Hence\:verified.}[/tex]

[tex]\huge{\textbf{\textsf{{\orange{My}}{\blue{st}}{\pink{iq}}{\purple{ue}}{\red{35}}{\green{♡}}}}}[/tex]

Answer: i didnt really understand what you put but i can help you out. If your saying what _ x _ = 70. You can do 10 x 7 or 7x10

Step-by-step explanation:

Answer:  37 degrees

Explanation:

We have a right triangle because the tangent is always perpendicular to the radius, at the point of tangency.

That then leads to angles P and R being complementary, ie they add to 90

P+R = 90

R = 90-P

R = 90-53

R = 37

Answer:

30°

Step-by-step explanation:

180 - 90 - 60 = 30

Answer:

they would have bike 544 miles together with each other.

Step-by-step explanation:

since Elsa went more than Linda Linda had to stop while Elsa kept going.

Answer:

a) The 99% confidence interval for the proportion of all students who had use of a computer at home and give it in interval notation is (0.709, 0.911).

b) 0.81

c) 0.039.

d) 0.101

Step-by-step explanation:

Question a:

In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.

[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

In which

z is the z-score that has a p-value of [tex]1 - \frac{\alpha}{2}[/tex].

In a randomly selected sample of 100 students at a University, 81 of them had access to a computer at home.

This means that [tex]n = 100, \pi = \frac{81}{100} = 0.81[/tex]

99% confidence level

So [tex]\alpha = 0.01[/tex], z is the value of Z that has a p-value of [tex]1 - \frac{0.01}{2} = 0.995[/tex], so [tex]Z = 2.575[/tex].

The lower limit of this interval is:

[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.81 - 2.575\sqrt{\frac{0.81*0.19}{100}} = 0.709[/tex]

The upper limit of this interval is:

[tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.81 + 2.575\sqrt{\frac{0.81*0.19}{100}} = 0.911[/tex]

The 99% confidence interval for the proportion of all students who had use of a computer at home and give it in interval notation is (0.709, 0.911).

b) Give the value of the point estimate described in this scenario.

Sample proportion of [tex]\pi = 0.81[/tex]

c) Give the value of the standard error for the point estimate.

This is:

[tex]s = \sqrt{\frac{\pi(1-\pi)}{n}} = \sqrt{\frac{0.81*0.19}{100}} = 0.039[/tex]

The standard error is of 0.039.

d) Give the value of the margin of error if you were to calculate a 99% confidence interval.

This is:

[tex]M = zs = 2.575*0.039 = 0.101[/tex]

Answer:

E. Slope: 0

F. Equation: y = -2

Step-by-step explanation:

✔️The x-axis is a horizontal line. Horizontal line does not have any rise, therefore, slope (m) of horizontal line is zero.

The line that is parallel to the x-axis would have a slope of 0 as well.

Therefore, slope (m) = 0

✔️Since the line passes through (3, -2) let's find the y-intercept (b) to enable us write the equation of the line.

Substitute (x, y) = (3, -2) and m = 0 into y = mx + b

-2 = 0(3) + b

-2 = 0 + b

b = -2

✅To write the equation of the line that is parallel to the x-axis, substitute m = 0 and b = -2 into y = mx + b:

y = 0(x) + (-2)

y = 0 - 2

y = -2

Answer:

A)

3a2 – 2b2 – 2c2 – ab + 5ac + 5bc

[tex](3a + 2b - c)(a - b + 2c) \\ = (3 {a}^{2} - 3ab + 6ac + 2ab - 2 {b}^{2} + 6bc - ac + bc - 2 {c}^{2} ) \\ = 3 {a}^{2} - ab + 5ac - 2 {b}^{2} + 5bc - {2c}^{2} \\ = 3 {a}^{2} - 2 {b}^{2} - {2c}^{2} - ab + 5ac + 5bc[/tex]

Answer:

option a is correct

Step-by-step explanation:

(3a + 2b - c)(a - b + 2c)

3a(a- b + 2c) +2b(a - b + 2c) - c(a - b + 2c)

multiply the brackets

3a^2 - 3ab + 6ac + 2ab - 2b^2 + 4bc - ac + bc - 2c^2

combine like terms

3a^2 - ab + 5ac - 2b^2 + 5bc - 2c^2

3a^2 - 2b^2 - 2c^2 - ab + 5ac + 5bc

Answer:

The change of the person landing on each side is 1/8

Step-by-step explanation:

Answer:

Yes there is alternative way in solving and arithmetic sequence .An arithmetic sequence is a list of numbers with a definite pattern. If you take any number in the sequence then subtract it by the previous one, and the result is always the same or constant then it is an arithmetic sequence.

Answer:

- 8

Step-by-step explanation:

56 ÷ (- 7)

56 ÷ - 7

- 8

Answer:

-8

Step-by-step explanation:

A positive number divided by a negative one results in a negative quotient.

Thus, 56 ÷ (–7) = -8

Answer:

0.9452 = 94.52% probability that their mean length is less than 16.8 inches.

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.

Mean of 15.4 inches, and standard deviation of 3.5 inches.

This means that [tex]\mu = 15.4, \sigma = 3.5[/tex]

16 items are chosen at random

This means that [tex]n = 16, s = \frac{3.5}{\sqrt{16}} = 0.875[/tex]

What is the probability that their mean length is less than 16.8 inches?

This is the p-value of Z when X = 16.8. So

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

By the Central Limit Theorem

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

[tex]Z = \frac{16.8 - 15.4}{0.875}[/tex]

[tex]Z = 1.6[/tex]

[tex]Z = 1.6[/tex] has a p-value of 0.9452.

0.9452 = 94.52% probability that their mean length is less than 16.8 inches.

Answer: [tex]\dfrac{x^2+1}{2}[/tex]

Step-by-step explanation:

Given

[tex]f(x)=\sqrt{2x-1}[/tex]

We can write it as

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

Express x in terms of y

[tex]\Rightarrow y^2=2x-1\\\\\Rightarrow x=\dfrac{y^2+1}{2}[/tex]

Replace y be x to get the inverse

[tex]\Rightarrow f^{-1}(x)=\dfrac{x^2+1}{2}[/tex]

To prove, it is inverse of f(x). [tex]f(f^{-1}(x))=x[/tex]

[tex]\Rightarrow f(f^{-1}(x))=\sqrt{2\times \dfrac{x^2+1}{2}-1}\\\\\Rightarrow f(f^{-1}(x))=\sqrt{x^2+1-1}\\\\\Rightarrow f(f^{-1}(x))=x[/tex]

So, they are inverse of each other.

Answer:

4x^2-9x+7+\frac{x-2}{x^2+x+1}

Step-by-step explanation:

Here is a hopefully helpful answer! :)

Answer:

36

Step-by-step explanation:

Simple:

(4)(3)+2((5)(3)−2)−2

=12+2((5)(3)−2)−2

=12+2(15−2)−2

=12+(2)(13)−2

=12+26−2

=38−2

=36

Answer:

3 white to 5 yellow

the third choice

Step-by-step explanation:

white     9 parts

yellow   15 parts

9 white to 15 yellow

Divide by 3

3 white to 5 yellow

Answer:

2 3/5

Step-by-step explanation:

13/5​

5 goes into 13 2 time

2*5 =10

13-10 =3

There is 3 left over.  This goes over the denominator

2 3/5

2 3/5

Step-by-step explanation:

13/5

5*2=10

reminder=3

divisor = 5

Answer:

182

2.0239

3.97

(178, 186)

Step-by-step explanation:

Given :

Sample mean, n = 250

Sample mean, xbar = 182

Sample standard deviation, s = 32

Point estimate for the mean ;

According to the central limit theorem ; for n > 30, the sample mean equal to the population mean.

Hence, point estimate of mean cholesterol level for men is 182

B.) The standard error = s/√n

s= 32 ; n = 250

Standard error = 32/√250 = 2.0239

C.) Margin of error :

TCritical * standard error

TCritical at 95% ; df =250 -1 = 249 = 1.96

1.969 * 2.0239 = 3.966 = 3.97

D.) The confidence interval :

Point estimate ± margin of error

182 ± 3.97

182 - 3.97 = 178.03

182 + 3.97 = 185.97

(178, 186)

Answer:

1/x^2

Step-by-step explanation:

x^6-8 / x^2-2

x^-2/x^0

x^-2/1

do reciprocal

1/x^2

Note : In division if the power of the base is negative then do its reciprocal then the power will be positive.