Suppose the purchase price of a dining room set is $950. If the sales tax is $47.50, what is the sales tax rate?

Answer:

9

Step-by-step explanation:

f(x) = x − 7 and g(x) = x^2

g(f(4))

First find f(4)

f(4) = 4-7 = -3

Then put this result in g(x)

g(-3) = (-3) ^2 = 9

g(f(4) = 9

g(f(4)) =9.

Answer:

Solution given;

(x) = x − 7 and g(x) = x2 .

now

g(f(4))=g(4-7)=g(-3)=(-3)²=9

Answer:

=14.2

Step-by-step explanation:

a^2 + b^2 = c^2

21 ^2 + x ^2 = 35^2

= 28

28 + 4 = 32

The side with 21 then becomes the new x

x/a =

=14.2

The height of the house that can be ladder reached now will be 14.18 feet.

The Pythagoras theorem states that the sum of two squares equals the squared of the longest side.

The Pythagoras theorem formula is given as

H² = P² + B²

A 35-foot ladder is set against the side of the house so it reaches up 21 feet.

Then the base length will be

  35² = 21² + b²

1225 = 441 + b²

   b² = 784

     b = 28 feet

If the ladder is at its base and pulls it 4 feet farther from the house.

Then the height of the house that can be ladder reach now will be

  35² = 32² + h²

1225 = 1024+ h²

   h² = 201

     h = 14.18 feet

More about the Pythagoras theorem link is given below.

https://brainly.com/question/343682

#SPJ2

Answer:

28.749 km

Step-by-step explanation:

in reality

1 foot = 0.3048 meters not 0.37

1 mile = 5,280 feet not 5,180

15 miles  = 24.14016 kilometers

---------------------------

Using the numbers stated in the problem

0.37m/ft * 5180ft/mile * 15mile * 1km/1000m = 28.749 km

Answer:

The probability that the mean salary offer is of X or less is the p-value of [tex]Z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex], in which [tex]\mu[/tex] is the mean salary for the population, [tex]\sigma[/tex] is the standard deviation for the population and n is the size of the sample.

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.

Z-score with the Central Limit Theorem:

Z-is given by:

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

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

What is the probability that the mean salary offer for these students is X or less?

The probability that the mean salary offer is of X or less is the p-value of [tex]Z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex], in which [tex]\mu[/tex] is the mean salary for the population, [tex]\sigma[/tex] is the standard deviation for the population and n is the size of the sample.

Answer:

the second green shape because the first one is a rectangle which has 2 equal sides

Answer:

the third orange one

Step-by-step explanation:

i have the same question and these 2 show up as answers on both so it has to be this one

Answer:

[tex] \frac{16}{33} [/tex]

Step-by-step explanation:

[tex]x = 0.48... \\ 100 \times x = 0.48 \times 100 \\ 100x - x = 48.48.. - 0.48 \\ 99x = 48 \\ \frac{99x}{99} = \frac{48}{99} \\ x = \frac{16}{33} [/tex]

Answer:

-16c⁵/3

Step-by-step explanation:

whenever exponents are separated by parentheses, multiply them

when dividing (and bases are the same), subtract exponents

anything raised to a negative exponent becomes a fraction with 1 in the numerator and the term goes in the denominator with a positive exponent

ex, 4^-1 equals 1/4;  3^-2 equals 1/9

[(-4)³·c^-4] ÷ 12c^-8

= -64c⁵/12

=  -16c⁵/3

Answer:

you need to zoom in i cant see plz :)

Step-by-step explanation:

Answer:

$16.40

Step-by-step explanation:

Answer:

98.40

Step-by-step explanation:

First find the tip

82* 20%

82* .20

16.40

Add the tip to the cost of the mean

82+16.40

98.40

Answer:

so the total is 20 and its at ten so

10/20=5/10=1/2

so 50 percent

plzzz brainlest

Answer:

it is true :)    

9514 1404 393

Answer:

  1. 5 seconds

  2. 4.5 seconds

Step-by-step explanation:

Both of these questions can be solved the same way. Each quadratic gives height as a function of time. You're interested in the time at which the height is zero. Factor the quadratic and find the positive value of x that makes the relevant factor be zero.

__

1) y = -15x(x -5)

  x = 5 makes the second factor zero

The golf ball is in the air 5 seconds.

__

2) y = -12x(x -4.5)

  x = 4.5 makes the second factor zero

The football is in the air for 4.5 seconds.

_____

Additional comment

The "zero product rule" tells you a product will be zero if and only if one or more of the factors is zero. When a factored quadratic (or any other polynomial) is zero, one of the factors must be zero. If the factor is of the form (ax+b), then the corresponding solution is ...

  ax+b = 0   ⇒   ax = -b   ⇒   x = -b/a

That is, once you have the factored form, you can write the solutions "by inspection."

Answer:

The cosine of ∠V is of 0.74.

Step-by-step explanation:

Relations in a right triangle:

The cosine of an angle is given by the length of the adjacent side divided by the length of the hypotenuse.

XW = 65, WV = 97, and VX = 72.

[tex]\sqrt{65^2+72^2} = 97[/tex], and thus, this is a right triangle.

What is the value of the cosine of ∠V to the nearest hundredth?

The hypotenuse is the largest side, that is, WV = 97.

The adjacent side of angle V is VX = 72. So

[tex]\cos{B} = \frac{72}{97} = 0.74[/tex]

The cosine of ∠V is of 0.74.

Answer:

D

Step-by-step explanation:

compare the numbers

Answer:

(1,0)

Step-by-step explanation:

The zero of the function is where it crosses the x axis ( where y=0)

x=1 where y=0

(1,0)

Answer:

$27.2

Step-by-step explanation:

680x0.04=. 27.2

She made $27.2 last week

Step-by-step explanation:

20 ml is your answer

i hope it helps u

Answer:

If I'm reading it correctly the answer should be 20.

To get that answer all you do is 4x5.

Answer:

7 and 5 down

Step-by-step explanation:

Answer:

5/7 i dont know if this is right or not but i hop u get it

Step-by-step explanation:

Answer:

11 pounds

Step-by-step explanation:

You would do 88 divided by 8 to get 11

Answer: -i

Step-by-step explanation:

i^3 is -i

15-12 = 3

Answer:

What product

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

[tex]\frac{2}{3} (x + 2) - \frac{1}{3} (x - 2)[/tex]

First, multiply [tex]\frac{2}{3}[/tex] to [tex](x + 2)[/tex] , then [tex]\frac{1}{3}[/tex] to [tex](x - 2)[/tex], after you have done that, you would get an equation looking like this[tex]\\[/tex]:

[tex]\frac{2}{3} x + \frac{4}{3} - \frac{1}{3}x - \frac{2}{3}[/tex]

Next, add and/or subtract the fractions with the variables together and the ones without together, and that is how you get to your final answer

[tex]\frac{1}{3}x + \frac{2}{3}[/tex]

Answer:

The other point lies on the graph is (0, - 8).

Step-by-step explanation:

Point (3, - 4) lies on the graph [tex]y = (x -5)^2 + K[/tex]

So, put x = 3 and y = - 4 in the equation.

[tex]- 4 = ( 3 -5)^2 + K\\\\- 4 = 4 + K \\\\K= - 8[/tex]

So, the equation of graph is

[tex]y = (x - 5)^2 -8[/tex]

Let x = 5 lies on the graph so

[tex]y = (5 -5)^2 -8 \\\\y = -8[/tex]

So, the other point lies on the graph is (0, - 8).

Answer:

p-value of 0.1357 > 0.1, which means that we do not reject the null hypothesis, that is, there is not sufficient evidence to conclude that the population mean is above 85.

Step-by-step explanation:

Decision:

If the p-value is greater than the significance level, we accept the null hypothesis. Otherwise, we reject the null hypothesis.

In this question:

Null hypothesis:

μ = 85

Alternate hypothesis:

a: μ > 85

SPSS reports a two-tailed p-value of 0.2714.

We are testing if the mean is greater than a value, which is a one-tailed test, so the p-value is of 0.2714/2 = 0.1357

Decision:

p-value of 0.1357 > 0.1, which means that we do not reject the null hypothesis, that is, there is not sufficient evidence to conclude that the population mean is above 85.

Answer:

106

Step-by-step explanation:    ts 6 9 21  30

After Monday

    102 + Tuesday + Wednesday + Thursday + Friday         After

    102 +       1        +        1             +        1        +      1       =       106

Answer:

its 4/2 or simplified to 2/1

Step-by-step explanation:

mark me brainliest pls

Answer:

-415 meters

Step-by-step explanation:

As it was already -300 and it decended even more

so:

-300-`115=-415

Answer:

The answer is A, -415 meters.

Step-by-step explanation:

All right, so the key words we need here are -300, descends, and 115.

Descends means go lower, or in this case, subtract.

We are already at -300 and we descend 115, so we are going to subtract.

Subtracting a number is the same as adding the negative of that number.

-300 + -115 = -415

The answer is A, -415 meters.

Hope this helps, please mark brainliest if possible. :)