A , B , C are point's on a line with AB= 5.1 in and BC= 2.6 in. What is the length of AC?

Step-by-step explanation:

Elijah runs at constant speed

2.4 hours -----------> 13.8 miles

1 hour ---------------> 13.8/2.4

1 hour ---------------> 5.75 miles

Elijah run 5.75 miles in each hour at constant speed

Answer:

(If you need the actual explanations for each one, just ask in comments)

Step-by-step explanation:

1: D

2: G

3: A (60/100 = 6/10 = 3/5)

4: H (Min = 18, Q1 = 19, Median = 23, Q3 = 24, Max = 26)

5: C (2:6 = 1:3; 3:9 = 1:3)

6: J (2:15 = 10:75; multiply each side by 5)

7: A (A & B: 6*2/3 = 4, 4 < 6, 4 not > 6. C: 6*3/2 = 9, 9 not < 6. D: 6*3/3 = 6 not > 6).

Step-by-step explanation:

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Answer:

The correct amount is $18

Step-by-step explanation:

The change in her checking account here refers to a reduction in balance due to a deduction made for a gym membership of $18  per year.

Integer, as we know, is a whole number,  not a fraction.

In all fairness, the integer will indicate the change in her checking account due to her gym  membership payment is $18, the first option out of the multiple choices provided

Answer:

It would be 828 inches cubed

Step-by-step explanation:

Because the boxes on top and bottom are both 6x8x6 and the middle portion is 6x7x6

6x8x6=288

6x7x6=252

288+288+252=828

Answer:

0.460

Step-by-step explanation:

We solve using z score formula

z = (x-μ)/σ, where

x is the raw score = 129 calls

μ is the population mean = 130 calls

σ is the population standard deviation = 10 calls

Hence:

Z score = x - μ/σ

=129 - 130/10

=-0.1

Probability value from Z-Table:

For x less than 129 calls = x < 129

P(x<129) = 0.46017

Approximately to the nearest thousandth = 0.460

Therefore, the probability that during a given hour of the day there will be less than 129 calls, to the nearest thousandths is 0.460

Hi :)

15x^12/18x^2

Factor 3 out of 15 and 18

3(5x^12)/3(6x^2)

Divide

5x^10/6

Answer:

\( \frac{15 {x}^{12} }{18 {x}^{2} } \\ \frac{15}{18} \times \frac{ {x}^{12} }{ {x}^{2} } \\ \frac{5}{6} \times {x}^{12- 2} \\ \frac{5}{6} \times {x}^{10} \\ \frac{5 {x}^{10} }{6} \)

Answer:

Vertical reflection followed by a horizantal translation 3 to the right and a vertical translation up 1

Step-by-step explanation:

Answer:

c) $637.50

Step-by-step explanation:

Formula: I= PRT

2500×8.5%×3 = 637.5

To find the number of years it will take for the population of a city to increase from 120000 to 180000, we need to use the formula:

Years = log (target population / starting population) / log (1 + annual growth rate)

Where the annual growth rate is 2.5% or 0.025.

Plugging in the values, we get:

Years = log (180000 / 120000) / log (1 + 0.025)

Years = log (1.5) / log (1.025)

Years = 7.36 years

Rounding to the nearest tenth, we get:

Years = 7.4 years

So it will take approximately 7.4 years for the population of the city to increase from 120000 to 180000 people, assuming a constant annual growth rate of 2.5%.

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An "event" is an outcome of a population that has some probability of being selected.

In statistics, an event refers to a specific outcome or combination of outcomes of an experiment or random process. It represents a subset of the sample space, which is the set of all possible outcomes.

For example, let's consider rolling a fair six-sided die. The sample space consists of the numbers 1, 2, 3, 4, 5, and 6. An event could be rolling an even number, which consists of the outcomes 2, 4, and 6. Each of these outcomes has an equal probability of 1/6.

Events can also be combined using logical operators. For instance, the event of rolling a number greater than 3 and less than 6 would consist of the outcome 4 and 5. The probability of this event would be 2/6 or simplified, 1/3.

In summary, an event is a specific outcome or combination of outcomes from a population, and it has a certain probability of being selected.

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An "outcome" is an outcome of a population that has some probability of being selected.

An "outcome" refers to a specific result or observation that can occur in a given situation or experiment. In the context of a population, an outcome represents one possible result that could be selected or observed.

When we talk about a population, we are referring to a group of individuals or items that share a common characteristic. For example, a population could be all the students in a school, all the trees in a forest, or all the cars in a city.

In statistics, we often take samples from populations to make inferences or draw conclusions about the entire population. When selecting a sample from a population, each individual or item in the population should have some probability of being chosen. This ensures that the sample is representative of the population and provides reliable information.

For example, if we want to study the average height of all students in a school, we might randomly select a sample of students from the population (all students in the school). Each student in the population has some chance of being selected, which means each student represents a potential outcome of the sample.

In summary, an outcome in the context of a population refers to a specific result or observation that has some probability of being selected from the population.

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Answer:

C

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

since the rectangles are similar their sides are in proportion

h/210 = 60/84

h= 60*210/84 = 150 cm

The value of expression to represent stickers Niu has left is,

⇒ 24 - 4x

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

We have to given that;

Niu has decorated x cards.

He started with 24 stickers, and he used 4 stickers per card.

Now, Number of used stickers in x cards =  4x

Hence, The value of expression to represent stickers Niu has left is,

⇒ 24 - 4x

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Answer:

16

Step-by-step explanation:

2*8= 16

Answer:

Step-by-step explanation:

128

Answer:

This is not a dilation

Step-by-step explanation:

Dilation (usually represented by is one of the basic operations in mathematical morphology.

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Answer:

20,22,24,26

Step-by-step explanation:

Let the four consecutive even integers be 2x - 2 ;  2x  ; 2x + 2 ; 2x + 4

Sum of four consecutive integers = 92

2x - 2 + 2x + 2x+ 2 + 2x + 4          = 92

       2x + 2x + 2x + 2x + 2 - 2 + 4   = 92

                                       8x  +4       = 92

                                                   8x  = 92 - 4

                                                   8x  = 88

                                                     x = 88/8

                                                     x = 11

  2x -2 = 2*11 - 2

           = 22 - 2

           = 20

      2x = 2*11

           = 22

2x + 2 = 2*11 + 2

           = 22 + 2

           = 24

2x + 4 = 2*11 + 4

          = 22 + 4

          = 26

The four consecutive even integers are 20,22,24,26

The percentage increase is 7.9 %.

The given numbers are 68 and 63.

Percentage change is the difference coming after subtracting the old value from the new value and then divide by the old value and the final answer will be multiplied by 100 to show it as a percentage.

Here, old value = 63 and new value = 68

Difference = 68-63 =5

Percentage increase = Difference of old value and new value ÷ old value

= 5/63 × 100

= 0.0793 × 100

= 7.93 %

≈ 7.9 %

Therefore, the percentage increase is 7.9 %.

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Answer:

I got you

Step-by-step explanation:

96 = 4(5)(4) + 2(4)H

96 = 80 + 8H

96 - 80 = 8H

16 = 8H

16/8 = H

2 = H

Given that X₁, X₂,..., X is a random sample from an exponential family with the following probability density function, f(x 0) = exp (0T(x) + d(0)+ S(x)).

To form the hypothesis for the exponential family, we need to consider the null and alternative hypothesis.

Null hypothesis: 0= 0

Alternative hypothesis: 0 ≠ 0

Explanation: The exponential family is a class of distribution families. The density of an exponential family is given by the following expression:

f(x|θ) = h(x) exp{θT(x) − A(θ)},

where h(x) is a nonnegative function of the data that does not depend on the parameter θ and A(θ) is a normalizing function.

The parameter θ is typically called the natural parameter, and T(x) is the vector of sufficient statistics. The exponential family of distributions includes the normal, exponential, chi-squared, gamma, and beta distributions, among others. In hypothesis testing for the exponential family, we typically specify a null hypothesis and an alternative hypothesis, just as in other types of hypothesis testing. The test statistic is usually a ratio of two likelihood ratios.

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Step-by-step explanation:

mean score means the sum of all 6 scores divided by the number of games : 6.

sum6/6 = 15

sum6 = 15×6 = 90

(sum6 + x)/7 = 16

sum6 + x = 16×7 = 112

90 + x = 112

x = 22

they scored 22 points in the 7th game.

Answer:

8. x-1=5

9. x/2=8

Step-by-step explanation:

x is the unknown number

less means subtract

quotient means divide

By the property of congruency of triangles, the following conclusions are taken from the figure

Second, third and fifth options are correct

First and fourth option are wrong.

What is congruency of triangles?

Two triangles are said to be congruent if their corrosponding sides and corrosponding angles are same.

There are five axioms of congruency

They are SSS axiom, ASA axiom, AAS axiom, SAS axiom, RHS axiom

Here,

From the second option,

AB = DE [Given]

\(\angle ABC = \angle CED\) [ Given]

BC = CE [Given]

So, \(\Delta ABC \cong \Delta CED\) [SAS axiom]

Second option is correct

For the third and fifth option

\(\angle ABC = \angle CED\) [ Given]

BC = CE [Given]

\(\angle BCA = \angle DCE\) [ Vertically opposite angle]

So, \(\Delta ABC \cong \Delta CED\) [ASA axiom]

Third and fifth option are correct

Second, third and fifth options are correct

For first and fourth option,

There is no axiom like side- side and Angle - side-side in congruency

First and fourth option are wrong.

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A measure of center refers to a statistical means of determining the center of a dataset.

A measure of variation refers to a way of determining the spread of data points in a dataset.

A measure of relative standing is a way of comparing the individual data points to the remaining dataset.

To measure the center for a dataset with outliers, the most appropriate way to obtain an accurate result will be by using the median.

A median is a form of measurement that is unaffected by outliers or extreme values. This measurement can help a person to obtain the exact values for the center point.

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The first term of the infinite geometric series is 625.Let's dive deeper into the explanation.

We are given that the sum of the infinite geometric series is \(\( \frac{15625}{24} \)\)and the common ratio is\(\( \frac{1}{25} \).\)The formula for the sum of an infinite geometric series is \(\( S = \frac{a}{1 - r} \)\), where \( a \) is the first term and \( r \) is the common ratio.
Substituting the given values into the formula, we have \(\( \frac{15625}{24} = \frac{a}{1 - \frac{1}{25}} \).\)To find the value of \( a \), we need to isolate it on one side of the equation.
To do this, we can simplify the denominator on the right-hand side.\(\( 1 - \frac{1}{25} = \frac{25}{25} - \frac{1}{25} = \frac{24}{25} \).\)
Now, we have \(\( \frac{15625}{24} = \frac{a}{\frac{24}{25}} \).\) To divide by a fraction, we multiply by its reciprocal. So, we can rewrite the equation as \( \frac{15625}{24} \times\(\frac{25}{24} = a \).\)
Simplifying the right-hand side of the equation, we get \(\( \frac{625}{1} = a \).\)Therefore, the first term of the infinite geometric series is 625.
In conclusion, the first term of the given infinite geometric series is 625, which corresponds to option (a).



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Answer:

c^6

Step-by-step explanation:

So, c is the same as c^ 1 ... therefore

c^5 x c

= c^5 x c^1

When we multiply two numbers with same base and different exponent, we add the exponents which in this case as 5 and 1

So c^5 x c^1

= c^(5+1)

= c^6

This is the simplest form

Answer: c⁶

Step-by-step explanation:

Notes: A variable without a given exponent has an "invisible" exponent of 1.

When multiplying two values with the same base, add the exponents.

\(\bold{c^5 \times c\qquad \rightarrow \quad c^5 \times c^1\quad =\quad c^{5+1}\quad = \large\boxed{c^6}}\)

In order to find two equivalent expressions for the given expression, first let's add the like terms:

Now, instead of adding like terms, let's factor the expression using the common factor 4x:

So two equivalent expressions are 28x and 4x(3+4)

The required answer is the annual cost saved by shifting from the 500-bag lot size to the EOQ is $1,059.92.

Explanation:-

a. Economic order quantity (EOQ) is defined as the optimal quantity of inventory to be ordered each time to reduce the total annual inventory costs.

It is calculated as follows: EOQ = sqrt(2DS/H)

Where, D = Annual demand = 100 x 52 = 5200S = Order cost = $57 per order H = Annual holding cost = 0.30 x 10.75 = $3.23 per bag per year .Therefore, EOQ = sqrt(2 x 5200 x 57 / 3.23) = 234 bags. The average time between orders (TBO) can be calculated using the formula: TBO = EOQ / D = 234 / 100 = 2.34 weeks ≈ 2 weeks (rounded to nearest whole number).

Hence, the EOQ is 234 bags and the average time between orders is 2 weeks (approx).b. R is the reorder point, which is the inventory level at which an order should be placed to avoid a stockout.

It can be calculated using the formula:R = dL + zσL

Where,d = Demand per day = 100 / 5 = 20L = Lead time = 1 week (5 working days) = 5 day

z = z-value for 92% cycle-service level = 1.75 (from standard normal table)σL = Standard deviation of lead time demand = σ / sqrt(L) = 16 / sqrt(5) = 7.14 (approx)

Therefore,R = 20 x 5 + 1.75 x 7.14 = 119.2 ≈ 120 bags

Hence, the reorder point R should be 120 bags.c. An inventory withdraw of 10 bags was just made. Is it time to reorder?The current inventory level is 310 bags, which is greater than the reorder point of 120 bags. Since there are no open orders or backorders, it is not time to reorder.d. The store currently uses a lot size of 500 bags (i.e., Q = 500).What is the annual holding cost of this policy.

Annual ordering cost. Without calculating the EOQ, how can you conclude the lot size is too large?Annual ordering cost = (D / Q) x S = (5200 / 500) x 57 = $592.80 per year.

Annual holding cost = Q / 2 x H = 500 / 2 x 0.30 x 10.75 = $806.25 per year. Total annual inventory cost = Annual ordering cost + Annual holding cost= $592.80 + $806.25 = $1,399.05Without calculating the EOQ, we can conclude that the lot size is too large if the annual holding cost exceeds the annual ordering cost.

In this case, the annual holding cost of $806.25 is greater than the annual ordering cost of $592.80, indicating that the lot size of 500 bags is too large.e.

The annual cost saved by shifting from the 500-bag lot size to the EOQ can be calculated as follows:Total cost at Q = 500 bags = $1,399.05Total cost at Q = EOQ = Annual ordering cost + Annual holding cost= (D / EOQ) x S + EOQ / 2 x H= (5200 / 234) x 57 + 234 / 2 x 0.30 x 10.75= $245.45 + $93.68= $339.13

Annual cost saved = Total cost at Q = 500 bags - Total cost at Q = EOQ= $1,399.05 - $339.13= $1,059.92

Hence, the annual cost saved by shifting from the 500-bag lot size to the EOQ is $1,059.92.

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Gregs's mom baked 24 cookies, while Vinnie's mom baked 36 cookies. Brad's mom baked twice as much as Greg's mom, resulting in a total of 48 cookies. The total number of cookies that were baked is found by adding the number of cookies that each mom baked:

24 + 36 + 48 = 108.

The cookies can be divided into 3 groups of 36, 4 groups of 27, 6 groups of 18, 9 groups of 12, 12 groups of 9, 18 groups of 6, 27 groups of 4, or 36 groups of 3 cookies. Since there are more than 100 words required, let's talk about the importance of fractions and equivalent ratios.

In conclusion, Greg's mom baked 24 cookies, Vinnie's mom baked 36 cookies, and Brad's mom baked 48 cookies, resulting in a total of 108 cookies. The cookies can be divided into fractions or equivalent ratios to distribute them evenly among the children.

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