Sara has already saved $6. She earns $3 per hour. She needs a minimum of $94 to buy her new bike. What is the minimum number of hours she must work?

The answer of the given question based on the triangle is ,  the distance from point C to point B to the nearest tenth of a foot is approximately 508.9 feet.

A distance refers to the measurement of the space between two points, lines, or objects. It is a numerical value that describes how far apart two objects are, and it is usually measured in units like meters, feet, or inches. Distance can be calculated using a variety of methods, depending on the context of the problem, including using the Pythagorean theorem for finding the distance between two points in a plane, or using the distance formula for finding the distance between two points in a three-dimensional space.

We can use trigonometry to find the distance from point C to point B.

First, we find  length of CD. Since CD is perpendicular to AB, we can use trigonometry to find its length.

tan(67°) = CD/AD

CD = AD * tan(67°)

CD = 120 * tan(67°)

CD ≈ 282.7 feet (rounded to the nearest tenth of a foot)

Next, we can use the fact that ∠CAB + ∠CBA + ∠ACB = 180° to find the measure of ∠ACB:

∠ACB = 180° - ∠CAB - ∠CBA

∠ACB = 180° - 52° - 67°

∠ACB = 61°

Now we can use trigonometry to find the length of CB:

tan(61°) = CB/CD

CB = CD * tan(61°)

CB ≈ 508.9 feet (rounded to the nearest tenth of a foot)

Therefore, the distance from point C to point B to the nearest tenth of a foot is approximately 508.9 feet.

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Answer:

= 11√2 - 5√7

Step-by-step explanation:

9√2 - 3√7 + √8 - √28

= 9√2 - 3√7 + 2√2 - 2√7

add similar elements

= 11√2 - 3√7 - 2√7

= 11√2 - 5√7

Answer:

11\(\sqrt{2}\) - 5√7

Step-by-step explanation:

= 9\(\sqrt{2}\) - 3\(\sqrt{7}\) + 2√2 - 2\(\sqrt{7}\)

= 11\(\sqrt{2}\) - 3\(\sqrt{7}\) - 2\(\sqrt{7}\)   add similar elements

= 11\(\sqrt{2}\) - 5\(\sqrt{7}\)

If you mea. 1 . -28 - 20 then the answer is going to be

\(1. - 48\)

but if you mean -28 -20 the the answer is going to be

\( - 48\)

Answer:

(x + 6)(x + 7)

Step-by-step explanation:

To factor the trinomial x^2 + 13x + 42, we need to find two numbers that multiply to 42 and add up to 13.

One way to do this is to list all the pairs of factors of 42 and see which pair adds up to 13:

1, 42 -> 1 + 42 = 43

2, 21 -> 2 + 21 = 23

3, 14 -> 3 + 14 = 17

6, 7 -> 6 + 7 = 13

So the pair of factors that we want is 6 and 7. We can use these numbers to rewrite the middle term of the trinomial:

x^2 + 13x + 42 = x^2 + 6x + 7x + 42

Next, we can group the first two terms and the last two terms:

x^2 + 6x + 7x + 42 = (x^2 + 6x) + (7x + 42)

Now, we can factor out the greatest common factor from each group:

x(x + 6) + 7(x + 6)

Notice that we have a common factor of (x + 6) in both terms. We can factor this out:

(x + 6)(x + 7)

The ordered pair of the function continue as  x=0 and y =5 and x=1 then y= 10 and x=2 then y = 20.

What is function?

A mathematical phrase, rule, or law that establishes the link between an independent variable and a dependent variable (the dependent variable). In mathematics, functions exist everywhere, and they are crucial for constructing physical links in the sciences.

Here  the given function y=5.\(2^x\)

To graph the equation, choose three values for x and list them in a table. (Hint: choose values that are easy to calculate, like −1, 0, and 1.) Substitute each value in the equation and simplify to find the corresponding y-coordinate. Plot the ordered pairs and draw a straight line through the points.

Then x=0 and y =5

x=1 then y = 10

x=2 then y = 20

Thus the ordered pair of the function.

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Answer:

4(5q-8), q=6

4(5(6)-8)=

4(30-8)=

4(22)=

88

r+(-8)/2. r=12

12+(-8)/2=

4/2=

=2

(11b+4)/9. b=7

(11(7)+4)/9=

(77+4)/9=

(81)/9=

9

Step-by-step explanation:

If the sample size is small and the sample variance is large then

small treatment effect still be statistically significant.

As we know that,

Statustical significance refers to claim that a result from data generated by testing or experimentation is likely to be attributable to specific cause.

Sample size is the total number of individuals or items that comprise a sample.

And, the variance is a descriptive statistic, which falls under the category of a measure of spread.

The circumstance in which a very small treatment effect can be found to be significant is best described by option A: If the sample size big and the sample variance is small.

A large sample size will increase the probability that the results of a statistical test will yield significant results. This is why most statistical tests are accompanied by a measure of effect size. A statistically significant result associated with a very large sample size, will likely have a small effect size, an undesirable result for a researcher, as it implies one of the only reasons significant results were obtained was due to the large sample, not necessary the magnitude of the experimental effect.

Likewise, if variance is small, this will also increase the probability that the results of a statistical test will yield significant results. Variance is simply another word in statistics for the error. A decrease in error will lead to an increased probability of obtaining significant results, hence the idea that a small amount of variance will lead to an increased probability of significant results.

Hence, if the sample size is small and the sample variance is large then

small treatment effect still be statistically significant.

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Answer:

To find this question, you first should put your data values in order from least to greatest. Doing so would look like this:

39, 39, 3 , 40 , 46 , 48 , 60 , 62 ,62

Now find the median, the middle number. This would be 46. This would also be the middle point on your box and whisker plot. Looking at your answer choices, the only one that has the middle point at 46 is the last one. So that is your answer.

Step-by-step explanation:

Answer:

its 39

Step-by-step explanation:

Answer: \(f(k+1)=2k-2\)

Step-by-step explanation:

Substituting \(k+1\) for \(x\),

\(f(k+1)=2(k+1)-4\\\\f(k+1)=2k+2-4\\\\f(k+1)=2k-2\)

Given:

The expression is

\(-9xy^2z\)

To find:

The coefficient of x in the given expression.

Solution:

Coefficient of a variable is the product of a number and other variables multiplying the variable in an algebraic expression.

In the given expression the number and variables other than x are -9, y² and z.

So, coefficient of x is

\(-9\times y^2\times z=-9y^2z\)

Therefore, the correct option is (d).

Therefore, the value of n that makes the system of equations true is n = 10.

Given:

p = 2n

p - 5 = 1.5n

Substituting the value of p from the first equation into the second equation, we have:

2n - 5 = 1.5n

Next, we can solve for n by subtracting 1.5n from both sides of the equation:

2n - 1.5n - 5 = 0.5n - 5

Simplifying further:

0.5n - 5 = 0

Adding 5 to both sides of the equation:

0.5n = 5

Dividing both sides by 0.5:

n = 10

Therefore, the value of n that makes the system of equations true is n = 10.

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Answer: The six trigonometric ratios of a right angle triangle are Sin, Cos, Tan, Cosec, Sec and Cot. They stand for Sine, Cosine, Tangent, Cosecant, Secant, and Cotangent respectively.For example : tignometic ratios in right angled triangle.

Step-by-step explanation:

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⭐ Answered by TurttlePrincess

⭐ Brainliest would be appreciated, I'm trying to reach genius! ⭐

⭐ If you have questions, leave a comment, I'm happy to help! ⭐ 

The total segment AE is 46.

"SAS" is when we know two sides and the angle between them.

To solve an SAS triangle we use "The Law of Cosines" to calculate the unknown side.

The Law of Cosines = a² = b² + c² − 2bc cosA

where

'b' and 'c' are two given sides

'A' is the angle between side 'b' and 'c' and

a' is the unknown side which we have to find.

In ΔABC , b=21, c=20, a= AC

By the Cosine law

a² = 21²+20² - 2*21*20 cos90°

a² =441 + 400 - 0 (∵cos 90° =0)

a² = 841

a=√841

a=29= AC.

Now, in ΔCDE, b=8, c=15 and a = CE

By the Cosine law

a² = 8² + 15²- 2*8*15cos90°

a² = 64 + 225 - 0 (∵cos 90° =0)

a²= 289

a = 17 = CE.

AE = AC + CE

AE = 29+17= 46.

Therefore, the total segment AE is 46.

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Answer:

This is gebber gabber but yes

Step-by-step explanation:

This relationship is not transitive, symmetrical, or reflexive.

It is not reflexive because, for any x ∈ R, xd x = xx ≥ 0 is not always true.

It is not symmetric because, for any x,y ∈ R, if xd y = xy ≥ 0, then the reverse is not necessarily true (i.e. yd x = yx ≥ 0).

It is not transitive because, for any x,y,z ∈ R, if xd y = xy ≥ 0 and yd z = yz ≥ 0, then the reverse is not necessarily true (i.e. xd z = xz ≥ 0).

The relation d is defined as xd y ⇔ xy ≥ 0 for all x,y ∈ R. This relation is not reflexive because for any x ∈ R, xd x = xx ≥ 0 is not always true. It is not symmetric because for any x,y ∈ R, if xd y = xy ≥ 0, then the reverse is not necessarily true (i.e. yd x = yx ≥ 0). Lastly, it is not transitive because for any x,y,z ∈ R, if xd y = xy ≥ 0 and yd z = yz ≥ 0, then the reverse is not necessarily true (i.e. xd z = xz ≥ 0). Therefore, the relation d is none of these.

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Answer:

$391.2 per owner

Step-by-step explanation:

find the total price of the items and divide it by five

Answer:

Modal average is the number that appears the most

Modal average: 3

1+2+3+4+5=15

15/3=    Mean: 3

Step-by-step explanation:

add all the bedrooms and divide that sum by the number of numbers added. That's the mean.

Hope this helps.

A) 4 is the mode of the table

B)

1+2+3+4+5=15

15/5=3

The probability that there will be an alarm within the next 60 days, given an average activation rate of once every 200 days, is approximately 0.259 or 25.9%.

To find the probability that there will be an alarm within the next 60 days, we need to calculate the cumulative distribution function (CDF) of the exponential distribution.

Given that the average time between activations is 200 days, we can calculate the rate parameter (λ) of the exponential distribution as λ = 1 / 200.

The probability of an alarm occurring within the next 60 days can be found by evaluating the CDF of the exponential distribution at 60 days.

P(Alarm within 60 days) = 1 - e^(-λ * 60)

Substituting the value of λ, we have:

P(Alarm within 60 days) = 1 - e^(-1/200 * 60)

Using a calculator, we can compute this probability.

P(Alarm within 60 days) ≈ 1 - e^(-0.3) ≈ 0.259

Therefore, the probability that there will be an alarm within the next 60 days is approximately 0.259, or 25.9%.

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We conclude that the observed data is consistent with Mendel's predicted genetic model.

To test Mendel's genetic model, we can use the chi-square test of independence. The null hypothesis \(($H_0$)\) assumes that the observed data fits the predicted genetic model, while the alternative hypothesis \(($H_a$)\) assumes that there is a significant deviation from the predicted model.

First, we calculate the expected counts for the smooth and wrinkled peas based on Mendel's predicted ratio of 3:1. For the total count of 556 peas \(($423$ smooth + $133$ wrinkled)\), the expected counts would be:

Expected count for smooth peas = \($\left(\frac{3}{4}\right) \times 556 = 417$\)

Expected count for wrinkled peas = \($\left(\frac{1}{4}\right) \times 556 = 139$\)

Next, we set up the chi-square test statistic:

\($\chi^2 = \sum \left[\frac{(Observed \ count - Expected \ count)^2}{Expected \ count}\right]$\)

Plugging in the values, we get:

\($\chi^2 = \frac{(423 - 417)^2}{417} + \frac{(133 - 139)^2}{139}$\)

Calculating the values, we find:

\($\chi^2 = 0.822 + 0.261 = 1.083$\)

Now, we need to compare this test statistic with the critical value from the chi-square distribution with \($(2-1) = 1$\) degree of freedom. Assuming a significance level of 0.05, the critical value is 3.841.

Since \($\chi^2 = 1.083 < 3.841$\), we fail to reject the null hypothesis.

Therefore, we conclude that the observed data is consistent with Mendel's predicted genetic model.

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The solution is, 3/8 oil (in cups) is needed per cup of water.

In mathematics, multiplication is a method of finding the product of two or more numbers. It is one of the basic arithmetic operations, that we use in everyday life.

here, we have,

given that,

A recipe requires 1/4 cup of oil for every 2/3 cup of water.

i.e. for 2/3 cup needed oil = 1/4

so, for 1 cup needed oil = 1/4 ÷ 2/3

                                       =1/4 * 3/2

                                       =3/8

Hence, The solution is, 3/8 oil (in cups) is needed per cup of water.

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Answer:

40% or 2/5

Step-by-step explanation:

won = 6

total no. of people = 15

probability of winning = 6/15 = 2/5

2/5*100

=40%

a) The center of G and determining the distinct conjugacy classes, we can calculate the class equation of the finite group G.

b) We have shown both implications: if a Sylow p-subgroup is normal, then it is unique, and if it is unique, then it is normal.

(a) Deriving the class equation of a finite group G involves partitioning the group into conjugacy classes. Conjugacy classes are sets of elements in the group that are related by conjugation, where two elements a and b are conjugate if there exists an element g in G such that b = gag^(-1).

To derive the class equation, we start by considering the group G and its conjugacy classes. Let [a] denote the conjugacy class containing the element a. The class equation is given by:

|G| = |Z(G)| + ∑ |[a]|

where |G| is the order of the group G, |Z(G)| is the order of the center of G (the set of elements that commute with all other elements in G), and the summation is taken over all distinct conjugacy classes [a].

The center of a group, Z(G), is the set of elements that commute with all other elements in G. It can be written as:

Z(G) = {z in G | gz = zg for all g in G}

The order of Z(G), denoted |Z(G)|, is the number of elements in the center of G.

The conjugacy classes [a] can be determined by finding representatives from each class. A representative of a conjugacy class is an element that cannot be written as a conjugate of any other element in the class. The number of distinct conjugacy classes is equal to the number of distinct representatives.

By finding the center of G and determining the distinct conjugacy classes, we can calculate the class equation of the finite group G.

(b) To prove that a Sylow p-subgroup of a finite group G is normal if and only if it is unique, we need to show two implications: if it is normal, then it is unique, and if it is unique, then it is normal.

If a Sylow p-subgroup is normal, then it is unique:

Assume that P is a normal Sylow p-subgroup of G. Let Q be another Sylow p-subgroup of G. Since P is normal, P is a subgroup of the normalizer of P in G, denoted N_G(P). Since Q is also a Sylow p-subgroup, Q is a subgroup of the normalizer of Q in G, denoted N_G(Q). Since the normalizer is a subgroup of G, we have P ⊆ N_G(P) ⊆ G and Q ⊆ N_G(Q) ⊆ G. Since P and Q are both Sylow p-subgroups, they have the same order, which implies |P| = |Q|. However, since P and Q are subgroups of G with the same order and P is normal, P = N_G(P) = Q. Hence, if a Sylow p-subgroup is normal, it is unique.

If a Sylow p-subgroup is unique, then it is normal:

Assume that P is a unique Sylow p-subgroup of G. Let Q be any Sylow p-subgroup of G. Since P is unique, P = Q. Therefore, P is equal to any Sylow p-subgroup of G, including Q. Hence, P is normal.

Therefore, we have shown both implications: if a Sylow p-subgroup is normal, then it is unique, and if it is unique, then it is normal.

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The number where the digit 6 have a value that is 10 times as great as the digit 6 in the number 62,045 is A. 640,488.

It should be noted that a place value is the value that is represented based on the position of a number.

In this case, the digit of 6 in 62,045 is 60000. From the options, the digit of 6 in 640488 is 600000. This is 10 times the value.

Therefore, the number where the digit 6 have a value that is 10 times as great as the digit 6 in the number 62,045 is 640,488. The correct option is A.

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Answer:

by dividing with a small number like 2

Step-by-step explanation:

the LCM of 4 is4

The mean (expected value) of the number of hits is 5/12.

The variance of the number of hits is 17/48.

Mean (Expected Value):

The mean, also known as the expected value, represents the average value of a dataset. It is calculated by summing all the values in the dataset and dividing by the total number of values.

The variance measures the spread or dispersion of a dataset. It quantifies the variability or how much the values differ from the mean. A high variance indicates that the values are more spread out, while a low variance indicates that the values are clustered closely around the mean.

To find the mean and variance of the number of hits, we can use the concept of a binomial distribution.

Let's define the following variables:

X = number of hits

p = probability of hitting the moving target on any given shot

q = probability of missing the moving target on any given shot

n = number of shots

Given information:

p(first shot) = 1/3

p(subsequent shots | previous hit) = 1/2

p(subsequent shots | previous miss) = 1/4

Mean (Expected Value):

The mean of a binomial distribution is calculated as:

Mean = n × p

For the first shot, the probability of hitting is 1/3.

For subsequent shots, the probability of hitting is:

p(subsequent shots)

= p(subsequent shots | previous hit) × p(previous hit) + p(subsequent shots | previous miss) × p(previous miss)

Mean = (1 × 1/3) + (2 × 1/2 × 1/3) + (3 × 1/2 × 1/2 × 1/3)

Mean = 1/3 + 1/3 + 1/12

Mean = 5/12

Therefore, The mean (expected value) of the number of hits is 5/12.

The variance of a binomial distribution is calculated as:

Variance = n × p × q

For subsequent shots, the probability of missing is:

q(subsequent shots) = 1 - p(subsequent shots)

Variance = (1 * 1/3 * 2/3) + (2 * 1/2 * 1/3 * 1/2) + (3 * 1/2 * 1/2 * 1/3 * 1/2)

Variance = 2/9 + 1/12 + 1/48

Variance = 17/48

Therefore, the variance of the number of hits is 17/48.

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The equation of the line that passes through the point (2,-3) and is parallel to the line 2x + 5y = 10 is y = - 2 / 5 x - 11 / 5

The equation of a line can be represented in various form such as point slope form, slope intercept form and standard form.

Therefore, let's find the equation of the line that passes through the point (2, -3) and is parallel to the line 2x + 5y = 10.

Hence, parallel lines have the same slope.

5y = -2x + 10

y = - 2 / 5 x + 2

Therefore, the slope of the line is - 2 / 5.

Let's find the y-intercept using the slope intercept equation.

y = mx + b

where

Hence, (2, -3)

-3 = - 2 / 5(2) + b

-3 = - 4 / 5 + b

b = - 3 + 4  /5

b = - 11 /  5

Therefore, the equation of the line is y = - 2 / 5 x - 11 / 5

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The required equation of the line y = - (2/5)x - 11/5 passes through the point (2,-3) and is parallel to the line 2x + 5y = 10.

We have to determine the line that passes through the point (2,-3) and is parallel to the line 2x+5y=10

Parallel lines are known to have the same slope.

Firstly, we have to find its slope by the given line

⇒ 5y = -2x + 10

⇒ y = - (2/5)x + 2

Thus, the slope of the line is - 2/5.

Let the required equation of the line is y - y₁ = m(x -x₁ )

Here x₁ = 3, y₁ = 1 and m = -2/5

y - 1 = (-2/5)(x - 3)

y - 1 = (-2/5)x + 3(-2/5)

y = - (2/5)x - 6/5 +1

y = - (2/5)x - 11/5

Therefore, the required equation of the line is y = - (2/5)x - 11/5.

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Answer:

4x+11 = 39

x = 7

Step-by-step explanation:

4 times a number

4x

Eleven more than

4x+11

is means equals

4x+11 = 39

Subtract 11 from each side

4x+11-11 = 39-11

4x = 28

Divide each side by 4

4x/4 = 28/4

x=7

Answer:

y=5/3 is the only real solution

Step-by-step explanation:

Solve for y over the real numbers:

11 y^2 - 19 y - 10 = -4 y^2

Add 4 y^2 to both sides:

15 y^2 - 19 y - 10 = 0

The left hand side factors into a product with two terms:

(3 y - 5) (5 y + 2) = 0

Split into two equations:

3 y - 5 = 0 or 5 y + 2 = 0

Add 5 to both sides:

3 y = 5 or 5 y + 2 = 0

Divide both sides by 3:

y = 5/3 or 5 y + 2 = 0

Subtract 2 from both sides:

y = 5/3 or 5 y = -2

Divide both sides by 5:

Answer: |

| y = 5/3 or y = -2/5

Answer:  Equation: 17.95 + 0.18x = 40            

 122.5 miles

Step-by-step explanation:

Since the rental fee is $17.95  then it will not change in any situation plus 18 cents per mile  driven, then we can represent that by the expression ,  

17.95 + 0.18x  where x is the number of miles driven.

She has $40 so we will set the expression to equal $40.

17.95 + 0.18x = 40     Now to solve for x subtract 17.95 from both sides

-17.95               -17.95

 0.18x = 22.05  Divide both sides by 0.18

x = 122.5