Caroline was out at a restaurant for dinner when the bill came. Her dinner came to $22. After adding in a tip, before tax, she paid $25.08. Find the percent tip.

Answer:

Area (A)  0.0682

Step-by-step explanation:

The sketch for the region enclosed by the given curves can be found in the image attached below.

From the image below;

The two curves intersect in the area of tan 9x = 2 sin 9x

Recall that:

making x the subject; then:

The subdivision of the domain is in two intervals

where;

Area (A) =

Area (A) = 0.06818

Area (A)  0.0682

Answer: D. 45 degrees

Step-by-step explanation:

       A circle is equal to 360°

      360° divided in half is 180°.

     180° divided in half one more time is 90°

     A second time is 90° / 2 = 45°

        The angle created is D. 45 degrees.

Answer:

"Quart" is shorthand for "quarter of a gallon." So that means there are 4 quarts in each gallon. Which means 8 quarts in 2 gallons.

So if he's got 10 quarts, that means 2 and a half gallons.

Step-by-step explanation:

answers:

medium-41.4,48.6

large-55,59.4

extra large-62,57.04

yes it is possible for an egg to be large and extra large, reason: the lightest possible egg for the extra large is 57.04 and the heaviest possible egg for the large is 59.4. Therefore, an egg between the range(57.04_59.4) is both large and extra large

The missing values for Medium egg are 41.4g, 48.6g

for large eggs are 55g, 59.4g,

and extra large eggs are 62g, 57.04g.

A percentage is a figure or ratio that can be stated as a fraction of 100. If we need to calculate the percentage of a number, we must divide it by its full value and then multiply it by 100. As a result, the percentage is one part in one hundred. "Per 100" is short for "per percent." It is represented by the symbol "%".

Given table for size and weight of eggs and  the weight of each egg can vary up to 8%.

for Medium eggs Advertised weight = 45 g

lightest weight = 45 - 8% of Advertised weight

because Advertised weight is average of lightest weight and heaviest egg weight,

lightest weight = 45 - 45(0.08)

lightest weight = 41.4 g

heaviest egg weight = 45 + 8% of Advertised weight

lightest weight = 45 + 45(0.08)

lightest weight = 48.6 g

missing values for medium egg = 41.4g and 48.6g

For Large egg

lightest weight = 50.6

Advertised weight = 50.6 + 8% of lightest weight

Advertised weight = 50.6 + 50.6(0.08)

Advertised weight = 54.9 = 55g

heaviest egg weight =  55 + 8% of Advertised weight

heaviest egg weight =  55 +55(0.08)

heaviest egg weight = 59.4g

missing values for large egg =  55g and 59.4g

For Extra large egg

heaviest egg weight = 66.96 g

Advertised weight = 66.96 - 8% of heaviest egg weight

Advertised weight = 66.96 - 66.96(0.08)

Advertised weight = 61.6 = 62 g

lightest weight = 62 - 8% of Advertised weight

lightest weight = 62 - 62(0.08)

lightest weight = 57.04 g

missing values for extra large egg is 62g and 57.04 g

Yes, an egg can be large or extra large for the following reasons: The largest egg is 59.4 pounds, while the lightest egg for an extra large is 57.04 pounds. As a result, an egg between 57.04 and 59.4 is both large and extremely large.

Hence the missing values are,

Medium egg are 41.4g, 48.6g

for large eggs are 55g, 59.4g,

and extra large eggs are 62g, 57.04g.

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[tex](17x+4y)+(48x+21y)[/tex]

Simplify:

(1) Combine like terms

[tex]17x+4y+48x+21y[/tex]

[tex]65x+4y+21y[/tex]

(2) Combine like terms

[tex]65x+4y+21y[/tex]

[tex]65x+25y[/tex]

Solution:

[tex]A) 65x+25y[/tex]

Answer:

[tex]65x+25y[/tex]

Step-by-step explanation:

[tex](17x + 4y) + (48x + 21y)[/tex]

[tex]17x+4y+48x+21y[/tex]

[tex]17x+48x+4y+21y[/tex]

[tex]65x+4y+21y[/tex]

[tex]65x+25y[/tex]

Answer:

To the nearest degree x is equal to 61.1 degrees.

Step-by-step explanation:

use the trig function cosine.

Cos(theta) = adjacent/hypotenuse.

Let x be the unknown angle in the diagram.

Adjacent = 3

Hypotenuse = 6.2

Cos(x) = 3/6.2

x = [tex]Cos^-1(\frac{3}{6.2})[/tex]     (you have to do cos inverse to find x)

X = 61.1

Answer:

  ∠F ≈ 74°

Step-by-step explanation:

The law of cosines is used to find the measures of angles in a triangle when the side lengths are known.

__

  f² = g² +h² -2gh·cos(F) . . . . . law of cosines relating to angle F

  cos(F) = ((g² +h² -f²)/(2gh)) . . . . . solve for cos(F)

  F = arccos((g² +h² -f²)/(2gh)) . . . . . . solve for angle F

  F = arccos((10² +62² -60²)/(2·10·62)) = arccos(344/1240)

  ∠F ≈ 74°

Answer:

1.37+1.37+1.88+1.88= 6.5

6.5/2.3=2.8packages. approximately 3

Answer: the answer is b which is line NO and line JK

Step-by-step explanation: one line is vertical and the other is horizontal . Both lines make the sides equivalent and equal , so they make a symmetry . HOPE IT HELPS YOU BUDDY .PLEASE GIVE BRAINLIEST .THANKS ..

Answer:

The Correct Answer is B.JK and No.

Hope it helps you Czn.

Please Mark me as Brainleast!!!!!!

Answer:

[tex]\boxed{D)\;gp+gq-gr+hp+hq-hr}[/tex]

Step-by-step explanation:

[tex]\left(g+h\right)\left(p+q-r\right)[/tex]

[tex]gp+gq+g\left(-r\right)+hp+hq+h\left(-r\right)[/tex]

[tex]gp+gq-gr+hp+hq-hr[/tex]

Hope it helps!

Answer:

D. gp + gq - gr + hp + hq - hr

Step-by-step explanation:

I got it right on my test.

Answer:

edges

Step-by-step explanation:

Answer:

18 years

Step-by-step explanation:

The average of 4 ages:

(11   + 16+16    + 29 )/4

Answer:

The mean of their ages is 18.

Step-by-step explanation:

11 + 16 + 16 + 29 = 72

72 ÷ 4 = 18

Answer:

a)     [tex]7x-15=20[/tex]

b)   [tex]\frac{20+15}{7}[/tex]

c)  5

Step-by-step explanation:

Step-by-step explanation:

formula=⅓πr×r

⅓ * 22/7 * 4*4

1056/21

=50.285

approximately=50.3

Answer:

why do ask the question which answer is given below

Answer:

~ 70 %

Step-by-step explanation:

(31.28 - 25)/ 11.42    means  25 is .5499  S.D. below the mean

z -score = .7088

 70.88 % chance of less than = 25 dollars

The required probability for one randomly selected student will spend less than $25 per week on food is 0.2911 and for randomly selected 10 students, what is the probability that their mean will be less than $25 is 0.040.

Probability can be defined as the ratio of favorable outcomes to the total number of events.

a) X = 25 , μ = 31.28 and σ = 11.42

[tex]Z = \frac{X - \mu}{\sigma}\\z = \frac{25 - 31.28}{11.42}\\z = -0.5499[/tex]

Using z score
Now a probability that one randomly selected student will spend less than $25 per week on food is given.
P(x<25) = p(z = -0.5499)
             = 0.2911

b) number of sample = 10
standard deviation = 11.42/√10
                                = 3.611

Herr,

[tex]Z = \frac{X - \mu}{\sigma}\\z = \frac{25 - 31.28}{3.611}\\z = -1.7444[/tex]

Probability (x<25) = p(z = -1.7444)
Using the Z score table,
Probability (x <25) = 0.040

Thus, the required probability for one randomly selected student will spend less than $25 per week on food is 0.2911 and for randomly selected 10 students, what is the probability that their mean will be less than $25 is 0.040.

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No diagram is visible!

You might have to repost the question again.

Answer: For the acellus people its 8.1

Step-by-step explanation:

Answer:

56

hope it helpes if you could give me brainliest so i could level up

Answer:

Step-by-step explanation:

what is it that makes this seem difficult?

90° the hands make a right angle?  correct?

30° the hands are close together

60° the hands are farther than 30 but closer than 90

150 ° the hands are farthest apart

Answer:

Jaylon has completed 12 problems.

Step-by-step explanation:

(This is how I learned it- I'm not sure if you have been taught this way..)
Step 1. Set up a proportion
[tex]\frac{60}{100} = \frac{x}{20}[/tex]
Step 2. Do 200x 60 to get 1200
Step 3. Get this equation
[tex]\frac{1200}{100} = x[/tex]
Step 4. Get the answer of 12
I hope this helps! :)

Answer:

Jaylon has completed 12 problems so far

Step-by-step explanation:

Step 1:  Determine the amount of problems that were completed

(Total number of problems) * (Percent of completed problems)

(20) * (60% / 100%)

(20) * (0.6)

12

Answer:  Jaylon has completed 12 problems so far

Answer:

$ 12.60

Step-by-step explanation:

30 shares × $ 0.42 = $ 12.60

Answer:

$1,260

Step-by-step explanation:

3000 x .42 = 1260

Answer:

Given :-

To find :-

Solution :-

Putting the known values

Circumference = 2 × 3.14 × 4

Circumference = 25.12 cm

Answer:

B. They did not survey employees in other offices around the country

Step-by-step explanation:

1. A random sample is when you randomly choose options from the whole list. In this case, they make it clear that there are other offices. They didn't give a chance to the rest of the offices to take a survey.

2. Surveying "all" the employees is not what a random sample is. A random sample is supposed to help make it more distributed among the people you survey. Making all of them take it in a cluster is not random.

3. The other choices don't make sense because they don't mention anything about them: nothing about the employees working 5 years, nothing about it being conducted electronically, and nothing about a time limit.

Answer:

 [tex]\begin{pmatrix}x=-3,\:&y=-7\\ x=-5,\:&y=-15\end{pmatrix}\\[/tex]

Step-by-step explanation:

[tex]\begin{bmatrix}y=x^2+12x+20\\ y=4x+5\end{bmatrix}[/tex]

[tex]\mathrm{Subtract\:the\:equations}[/tex]

[tex]y=x^2+12x+20[/tex]

[tex]y-y=x^2+12x+20-\left(4x+5\right)[/tex]

[tex]\mathrm{Simplify}[/tex]

[tex]0=x^2+8x+15[/tex]

Answer:

48

Step-by-step explanation:

Step-by-step explanation:

the area of a rectangle is

length × width.

so, we have here

45 = 6 × width

width = 45/6 = 15/2 = 7.5 in = 7 1/2 in

We can conclude that there is not enough evidence to suggest that the distribution of blood types in hospital patients is different from that of the general population at a significance level of 0.10.

Hypothesis testing is a statistical method that is used to make decisions about a population based on a sample of data.

It involves testing a null hypothesis (H0) against an alternative hypothesis (Ha) using statistical techniques.

We have,

We need to perform a hypothesis test to determine if the distribution of blood types in hospital patients is the same as that of the general population.

Let's set up the null and alternative hypotheses:

Null hypothesis:

The distribution of blood types in hospital patients is the same as that of the general population.

Alternative hypothesis:

The distribution of blood types in hospital patients is different from that of the general population.

We can use a chi-squared test to test the hypothesis.

First, we need to calculate the expected frequencies for each blood type based on the general population distribution:

Expected frequency of type A = 50 x 0.22 = 11

Expected frequency of type B = 50 x 0.28 = 14

Expected frequency of type O = 50 x 0.38 = 19

Expected frequency of type AB = 50 x 0.12 = 6

Next, we can calculate the chi-squared statistic:

[tex]$\chi^2 = \frac{(11-11)^2}{11} + \frac{(9-14)^2}{14} + \frac{(24-19)^2}{19} + \frac{(6-6)^2}{6} = 2.84$[/tex]

The degrees of freedom for the test is (4 - 1) = 3.

Using a chi-squared distribution table with 3 degrees of freedom and a significance level of 0.10, the critical value is 6.251.

Since the calculated chi-squared value (2.84) is less than the critical value (6.251), we fail to reject the null hypothesis.

Thus,

We can conclude that there is not enough evidence to suggest that the distribution of blood types in hospital patients is different from that of the general population at a significance level of 0.10.

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Answer:

z = 6

9 followed by a lowercase number, whether it's x, y, or z usually always means add 1 or multiply by an unknown number. In this case, we are multiplying.

[tex]9 * 45 = 405(wrong)\\\\9 * 63 = 567(wrong)\\\\9 * 7 = 63(wrong)\\\\9 * 6 = 54(correct)[/tex]

That said, the answer is six.