A mixed bag of candy is 25% chocolate bars and 75% other filler candy. Of the chocolate bars, 50% of them contains caramel. Of the other filler candy, 10% of them contain caramel. What percent of candy contains caramel? *

Answer:

x = 16

Step-by-step explanation:

It's a 30°60°90° triangle.

The side opposite to 30° is 8.

x is the side opposite to 90°

8 * 2 = 16

6×ax+6×by =6ax+6by =3a+2b,6×bx-6×ay=3b-2a=6bx-3a+2b

Answer:

28/9

Step-by-step explanation:

14/1 * 2/9

Answer:

3.108

Step-by-step explanation:

1. 2 divided by 9 equals 0.222

2. The soldier will need x amount of liters in *14* days.

3. Multiple 0.222 by 14.

Answer:

Cylinders have two circular bases

Cones have one circular base

The lateral area of a cylinder is related to circumference of the circular bases.

Step-by-step explanation:

In Determining the statements that characterize cylinders and cones. All that apply in this context are :

1) Cylinders have two circular bases

2) Cones have one circular base

3) The lateral area of a cylinder is related to circumference of the circular bases.

Furthermore, in a general context, A cylinder has traditionally been or comprises of a three-dimensional solid, one of the most basic of curvilinear geometric shapes or curves. It is the idealized version of a solid physical tin can which processed lids on top and bottom. While a cone is a three-dimensional geometric shape or a set of line segment that taper smoothly from a flat base (though not necessarily, but mostly circular) to a point called the vertex.

Answer:

a b and e

Step-by-step explanation:

At a significance level of 0.03, there is not enough evidence to support the claim that more than half of Virginia's residents are fully vaccinated

To test the claim that more than half of Virginia's residents are fully vaccinated, we can set up the following hypotheses:

Null hypothesis (H0): The proportion of fully vaccinated residents is equal to or less than 0.5.

Alternative hypothesis (Ha): The proportion of fully vaccinated residents is greater than 0.5.

Sample size (n) = 854

Number of fully vaccinated individuals in the sample (x) = 442

To conduct the hypothesis test, we can use the z-test for proportions. The test statistic can be calculated as:

z = (p' - p) / sqrt((p * (1 - p)) / n)

where:

p' is the sample proportion (x/n)

p is the hypothesized proportion under the null hypothesis (0.5)

n is the sample size

Let's calculate the test statistic:

p' = 442/854 = 0.517

p = 0.5

n = 854

z = (0.517 - 0.5) / sqrt((0.5 * (1 - 0.5)) / 854)

z = 0.017 / sqrt((0.5 * 0.5) / 854)

z = 0.017 / sqrt(0.25 / 854)

z = 0.017 / sqrt(0.0002926)

z ≈ 0.017 / 0.0171

z ≈ 0.994

The calculated test statistic is approximately 0.994.

Next, we need to find the critical value corresponding to a significance level of 0.03. Since we are conducting a one-tailed test (claiming that the proportion is greater than 0.5), the critical value will be the z-value that leaves a tail area of 0.03 to the right.

Using a standard normal distribution table or calculator, the critical value for a one-tailed test at a significance level of 0.03 is approximately 1.881.

Comparing the test statistic (0.994) with the critical value (1.881), we see that the test statistic does not exceed the critical value. Therefore, we fail to reject the null hypothesis.

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Answer:

I am pretty sure that it is 105 dollars

Answer:

I hope it will help you.

have a great day . ☺☺

Answer:

Step-by-step explanation:

x = y + 2

(1/3)* (x - 5 ) = (3/7)(y - 5)      Multiply both sides by 3

(x - 5) = 9/7 (y -5)                  Multiply both sides by 7

7(x - 5) = 9(y - 5)                   Remove  the brackets

7x - 35 = 9y - 45                  Add 45 to both sides

7x + 10 = 9y

y = x - 2

7x + 10 = 9(x - 2)

7x + 10 = 9x - 18

7x +10 + 18 = 9x

28 = 2x

x = 14

y = 14 -2

y = 12

Answer:

1 1/8

Step-by-step explanation:

1/2 ÷ 4/9

= 1/2 × 9/4

= 9/8

= 1 1/8

Answer:

\(1\frac{1}{8}\)

Step-by-step explanation:

hope this helps have a good rest of night :)❤

Answer:

\(80\ units^2\)

Step-by-step explanation:

The formula for volume is:

\(V=lwh\)

Plug in the given values into the equation:

\(V=8*5*2\\ V=40*2\\ V=80 \ units^3\)

The amount of interest for the year was 3,770 cents, and the regular price of the electric drill that Pamela bought before the discount was 21,927 cents

Interest = P x R x T.

Where:

P = Principal amount (the beginning balance).

R = Interest rate

T = Number of time periods

In this case, we are given that;

Principal amount (P) = $580

Interest rate (R) = 6,5 %

Time = 1 year

Hence, The amount of the interest = 6,5% of $580

                                                     = 0.065 × $580

                                                     = $37.7

1 dollar = 100 cents

Hence, $37.7 = 37.7 × 100 cents equal to 3,770 cents

P = (1 – d) x

Where,

P = Price after discount

D = discount rate

X = regular price

In this case, we are given that:

P = $32.89

D = 85% = 0,85

Hence, the regular price:

P = (1 – D) x

32.89 = (1 – 0.85) X

32.89 = 0.15X

X = 32.89/0.15

X= 219.27

1 dollar = 100 cents

Hence, $219.27 = 219.27 × 100 cents equal to 21,927 cents

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The alternative and hull hypotheses is H₀: P=0.03, H₁: P≠0.03.

Given that,

According to a representative of the Ohio Department of Education, 3% of graduating high school seniors in Ohio have dropped out in recent years. Out of the 600 pupils enrolled, 30 students from Podunk High School dropped out of school last year.

We have to find is there enough data to say that this school's dropout rate is higher than the state average. Using symbols and words, state the alternative and hull hypotheses.

We know that,

n is 600,

3% Ohio high school seniors dropout.

30 dropout out of 600 in Podunk high school.

Here,

H₀: μ₁=μ₂  vs   H₁:μ₁≠μ₂

In coordinates,

H₀⇒ dropout number is equal for both schools.

H₁⇒ dropout number not equal for both schools.

H₀: P=0.03, H₁: P≠0.03.

Therefore, The alternative and hull hypotheses is H₀: P=0.03, H₁: P≠0.03.

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Answer:

Solution given;

There are 8*x² , 6 *x and 3 *1.

So

in total it is 8x²+6x+3 which is a required expression.

count all tiles and note

Now multiply and add

\(\\ \sf\longmapsto 8(x^2)+9(x)+3(1)\)

\(\\ \sf\longmapsto 8x^2+9x+3\)

Answer:

h = 0.13

Step-by-step explanation:

Cylinder Volume Formula:

V = πr²h

Given:

V = 250

r = d/2 = 43.5

π = 3.14

Work:

V = πr²h

250 = π43.5²h

250 = (3.14)(1892.25)h

250 = 5941.665h

h = 250/5941.665

h = 0.13

9514 1404 393

Answer:

  6.  A

  7.  C

  8.  E

Step-by-step explanation:

6. If s is the number of programs sold for $0.45 each, then the contribution to Devon's pay (p) from selling programs is 0.45s. The per-game pay is added to that to give Devon's total pay:

  p = 0.45s + 40 . . . . . matches choice A

__

7. If Robert earns $25 per hour for x hours in tips, his tip pay is 25x. The flat rate is added to that to give the amount Robert makes:

  y = 25x + 40 . . . . . matches choice C

__

8. The graph of a proportional relationship is a straight line through the origin. This description matches B and C only, choice E.

Answer:

1.  x1000

2. x100

3. x10

Step-by-step explanation:

when multiplying by powers of 10 how ever many 0's are after the 1 move the decimal that many times to the right

example:

411.92x100=41192

notice 2 0's after the 1 so i move the decimal 2 times to the right

Answer:

t=n*c where t=total cost

Step-by-step explanation:

Answer:

what da heck right. UvU Here you go.

Step-by-step explanation:

Simplify 7/5x to 7x/5

3(7x/5 + 4) -2(3/2 - 5/4x)

Simplify 5/4x to 5x/4

3(7x/5 + 4) -2(3/2 - 5x/4)

Expand

21x/5 + 12 - 3 + 5x/2

Collect like terms

(21x/5 + 5x/2) + (12 - 3)

Simplify

67x/10 + 9

f(n)=2.55+3.75(n), n>0

Answer:

SR= 2.55

GC=3.75

n=?

n rep number of games

SR shoe rental

GC Game cost

f(n)=2.55+3.75n

2.55=3.75n

n=2.55÷3.75

n=0.68

Answer:

The answer is B

Step-by-step explanation:

If you earn $5 when you mow the lawn, you now have $5 in your wallet. You then go and spend $5 on candy, which means you now have $0.

There are 15,504 ways to randomly select a team of 5 people from a group of 20 people

If there are 20 people trying out for a team, the number of ways to select a team of n people can be calculated using the formula for combinations, which is:

C(20, n) = 20! / (n! * (20 - n)!)

where C(20, n) represents the number of ways to select n people from a group of 20 people.

For example, if we want to select a team of 5 people, we can plug in n = 5 and calculate:

C(20, 5) = 20! / (5! * (20 - 5)!) = 15,504

Therefore, there are 15,504 ways to randomly select a team of 5 people from a group of 20 people. Similarly, we can calculate the number of ways to select teams of different sizes by plugging different values of n into the formula for combinations.

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The measure of angle 2 from the given figure is 90°.

Angles in parallel lines are angles that are created when two parallel lines are intersected by another line called a transversal.

Given that, c is perpendicular to b.

Sice, c⊥b angles formed with lines c and b are equal to 90°.

Now, m∠2=90°

Therefore, the measure of angle 2 from the given figure is 90°.

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The theoretical probability of the dart scoring less than 10 points is 1/10. This means that there is a 1 in 10 chance that the dart will land in an area that scores less than 10 points.

To find the theoretical probability of the dart scoring less than 10 points on the dartboard, we need to determine the favorable outcomes (the number of ways the dart can score less than 10 points) and the total possible outcomes (the total number of areas on the dartboard).

1. Identify the favorable outcomes: In this case, the dart needs to land on the areas of the dartboard that score less than 10 points. Looking at the dartboard, we can see that there are two areas that satisfy this condition: the area labeled 1 and the area labeled 5.

2. Count the total possible outcomes: Count all the areas on the dartboard. From the picture, we can see that there are 20 areas in total.

3. Calculate the theoretical probability: Divide the number of favorable outcomes by the total possible outcomes. In this case, the number of favorable outcomes is 2, and the total possible outcomes are 20. So, the theoretical probability of the dart scoring less than 10 points is 2/20, which simplifies to 1/10.

The theoretical probability of the dart scoring less than 10 points is 1/10. This means that there is a 1 in 10 chance that the dart will land in an area that scores less than 10 points.

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Answer: The values of x are 9 and 1

Step-by-step explanation:

The  probability of getting at least 12 successes is approximately 0.035, or 3.5% (rounded to the nearest tenth of a percent).

This is a binomial distribution problem with $n=90$ trials and probability of success $p = 1/6$, since getting a six on a single roll is a success. We are interested in finding the probability of getting at least 12 successes.

To calculate this probability, we can use the complement rule, which states that the probability of an event occurring is equal to 1 minus the probability of the event not occurring. In this case, the event of interest is getting at least 12 successes, so the complement event is getting 11 or fewer successes.

We can use the binomial probability formula to calculate the probability of getting 11 or fewer successes:

$P(X \leq 11) = \sum_{k=0}^{11} {90 \choose k} \left(\frac{1}{6}\right)^k \left(\frac{5}{6}\right)^{90-k} \approx 0.965$

Therefore, the probability of getting at least 12 successes is:

$P(X \geq 12) = 1 - P(X \leq 11) \approx 0.035$

So the probability of getting at least 12 successes is approximately 0.035, or 3.5% (rounded to the nearest tenth of a percent).

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Answer:

8 problems per day for 12 of the days and 9 problems per day for 24 of the days

Step-by-step explanation:

It would take him 26 of the days to complete 208 problems.

The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.

We are given that Daniel wants to do 208 practice problems to prepare for an exam. If he wants to do 8 problems a day, then;

Using unitary method;

8 problems per day for 12 of the days

Therefore, 9 problems per day for 24 of the days.

Hence, the 208 practice problems = 26 days.

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To find the volume of the solid obtained by rotating the region bounded by the curves y = 1/x^2, y = 0, x = 1, and x = 7, about the line y = -3, we can use the method of cylindrical shells.

The radius of each cylindrical shell is the distance between the y-axis and the curve y = 1/x^2, which is given by r = x - (-3) = x + 3.

The height of each cylindrical shell is the difference in y-values between the curves y = 1/x^2 and y = 0, which is given by h = 1/x^2 - 0 = 1/x^2.

The differential volume of each cylindrical shell is then given by dV = 2πrh dx = 2π(x + 3)(1/x^2) dx.

To find the total volume, we integrate the differential volume over the interval [1, 7]:

V = ∫[1,7] 2π(x + 3)(1/x^2) dx.

Integrating the function, we get:

V = 2π ∫[1,7] (x + 3)/x^2 dx.

We can split the integrand into two fractions:

V = 2π ∫[1,7] (x/x^2 + 3/x^2) dx.

Simplifying each fraction, we have:

V = 2π ∫[1,7] (1/x + 3/x^2) dx.

Integrating each term separately, we get:

V = 2π [ln|x| - 3/x] [1,7].

Evaluating the expression at the upper and lower limits, we have:

V = 2π [(ln|7| - 3/7) - (ln|1| - 3/1)].

Simplifying further:

V = 2π (ln(7) - 3/7 + 3).

Finally, evaluating the expression, we find:

V ≈ 13.42.

Therefore, the volume of the solid obtained by rotating the given region about the line y = -3 is approximately 13.42 cubic units.

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Answer:

Step-by-step explanation:

What size are Letter papers?

Page sizes and dimensions

Paper Size Dimensions

Letter 8.5 x 11 inches

Letter Wide 11 x 8.5 inches

Legal 8.5 x 14 inches

Legal Wide 14 x 8.5 inches