The side of a square having area 64cm² is​

Answer:

a=10

Step-by-step explanation:

use a^2+b^2=c^2

(a+2)^2+(a-5)^2=(a+3)^2

a^2+4a+4+a^2-10a+25=a^2+6a+9

2a^2-6a+29=a^2+6a+9

a^2-12a=-20

a^2-12a+20=0

quadratic formula→(12+/-8)/2

a=10 or 2

2 is not an option because 2-5=-3 which isn't possible in this case.

so a=10

Apply Pythagorean theorem

There is a side a-5 so 2 is not a answer

With a mean of $32,500 and a standard deviation of $2,500. The z-score for a sales associate who earns $37,500 is 2.

The z-score, also known as a standard score, is a measure of how many standard deviations a given value is from the mean. It is used to standardize the data and make it easier to compare and interpret. The formula for the z-score is:

z = (x - μ) / σ

where x is the value of interest, μ is the mean, and σ is the standard deviation.

In this case, the mean annual salary for sales associates from a particular store is $32,500 and the standard deviation is $2,500. We want to find the z-score for a sales associate who earns $37,500. Plugging in the values, we get:

z = ($37,500 - $32,500) / $2,500 = 2

This means that the sales associate's salary is 2 standard deviations above the mean.

Interpreting the z-score can help us understand how unusual or typical a given value is in comparison to the mean. In this case, a z-score of 2 indicates that the sales associate's salary is relatively high compared to the mean, but it is not an extremely high salary.

We can use a standard normal table to find the proportion of the data that falls below a given z-score, or to find the corresponding value for a given proportion of the data.

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Answer:

add it

Step-by-step explanation:

the answer is 110

Answer:

Answer: 60.

Step-by-step explanation:

30 percent (calculated percentage %) of what number equals 18?

Applying the congruent chords theorem, the value of x is: 7.

Length of segment LP is: 6 units.

In geometry, a chord is defined as the line segment that joins two points on the circumference of a circle.

In a circle, if two chords are congruent, then they are equidistant from the center of a circle, according to the congruent chords theorem.

In the circle given, chords JK = LM = 12 units. This means both chords are congruent, therefore, they are equidistant from the center of the circle S.

According to the congruent chords theorem, NS = PS, thus:

8 = 2x - 6

8 + 6 = 2x

14 = 2x

Divide both sides by 2

14/2 = 2x/2

7 = x

x = 7

LP = 1/2(12)

LP = 6 units.

In summary, applying the congruent chords theorem, the value of x is: 7.

Length of segment LP is: 6 units.

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Answer: You are probably overthinking this. It is simply Y-X=5. The other infromation does not matter to this specific question.

Hope this is what your looking for:)

Answer:

C. class number and painting preference

Step-by-step explanation:

just got done with the quiz

Answer:

a)(2x+1)² - 3

4x² + 4x + 1 - 3

4x² + 4x - 2

4(-2)² + 4(-2) - 2

16 - 8 - 2

6 (final answer)

b) 4(3)² + 4(3) - 2

36 + 12 - 2

46 ( final answer)

c) 2(x²-3) + 1

2x² - 6 + 1

2(3)² - 5

18 - 5

13(final answer)

Answer:

A

Step-by-step explanation:

consider the coordinates of points C and A

C (4, - 1 ) and A (- 3, 2 )

4 → - 3 in the x- direction is - 7

- 1 → 2 in the y- direction is + 3

then the translation rule is

(x, y ) → (x - 7, y + 3 )

The square feet of paper that will cover the model is 56 ft squared.

The model above is a square base pyramid. Therefore, the square feet of papers he will need to cover the model is the surface area of the model.

Therefore,

surface area of the square base pyramid = A + 1 / 2 ps

where

Therefore,

p = 4 × 4 = 16 ft

s = 5 ft

A = 4² = 16 ft²

Therefore,

surface area of the square base pyramid = 16 + 1 / 2 × 16 × 5

surface area of the square base pyramid = 16 + 40

surface area of the square base pyramid = 56 ft²

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Answer:

no you scam me if I see what is promises I will help you

If c is the number of cookies that Josh bought and he ate 4 of them, then we would have to substract 4 from c, and the algebraic expression is:

Answer: 30%

Step-by-step explanation:

Answer:

18

Step-by-step explanation:

131.25/15=8.75

8.75x18=157.50

Answer:he worked  18 hours

Step-by-step explanation: if he made 131.25 in 15 hours ( 131.25 divided by 15= 8.75) so 8.75$ is how much he makes an hour so 157.50 divided by 8.75 = 18 so max worked 18 hours and made 157.50$

Natalie will pay her parents $9 each week, and the initial amount she still owed was $180.

We can see that Natalie is reducing the amount she owes by $18 every two weeks.

Therefore, the amount she owes after 2 weeks is $180 - $18 = $162, after 4 weeks is $144, after 6 weeks is $126, and after 8 weeks is $108.

This means that after n weeks, the amount she still owes is:

$180 - $18n

Since she will pay the same amount each week, let's call the weekly payment P. After one week, she will owe:

$180 - P

After two weeks, she will owe:

($180 - P) - P = $180 - 2P

After four weeks, she will owe:

($180 - 2P) - P - P = $180 - 4P

After six weeks, she will owe:

($180 - 4P) - P - P = $180 - 6P

And after eight weeks, she will owe:

($180 - 6P) - P - P = $180 - 8P

We can set up an equation using the information we have:

$180 - 8P = $108

Solving for P, we get:

P = $9

Therefore, Natalie will pay her parents $9 each week, and the initial amount she still owed was $180.

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The complete question:

Natalie borrowed money from her parents to pay for a trip. ​Natalie will ​pay her parents in equal amounts every week until she pays back the ​entire amount she borrowed. ​ ​The table below shows the amount of ​money Natalie still owes her parents at the end of every two weeks for ​the first eight weeks. How much does Natalie pay her parents each week? What is the initial amount Natalie still owes?

Week 0 = $180

Week 2 = $162

Weeks 4 = $144

Week 6 = $126

Week 8 = $108

Given statement solution is :- None of the given options (a, b, c, or d) match the meaning of the slope. The correct interpretation is that the car travels approximately 0.8 miles every minute.

To determine the meaning of the slope of the linear model for the given data, let's analyze the information provided. The table represents the distance traveled by a car at different time intervals.

Minutes | Distance Traveled (in miles)

50 | 20

20 | f

40 | 60

100 | a

125 | 80

100 | 100

To find the slope of the linear model, we need to calculate the change in distance divided by the change in time. Let's consider the intervals where the time changes by a fixed amount:

Between 50 minutes and 20 minutes: The distance changes from 20 miles to 'f' miles. We don't have the exact value of 'f', so we can't calculate the slope for this interval.

Between 20 minutes and 40 minutes: The distance changes from 'f' miles to 60 miles. Again, without knowing the value of 'f', we can't calculate the slope for this interval.

Between 40 minutes and 100 minutes: The distance changes from 60 miles to 'a' miles. We don't have the exact value of 'a', so we can't calculate the slope for this interval.

Between 100 minutes and 125 minutes: The distance changes from 'a' miles to 80 miles. Since we still don't have the exact value of 'a', we can't calculate the slope for this interval.

Between 125 minutes and 100 minutes: The distance changes from 80 miles to 100 miles. The time interval is 25 minutes, and the distance change is 100 - 80 = 20 miles.

Therefore, based on the given data, we can conclude that the car travels 20 miles in 25 minutes. To determine the meaning of the slope, we divide the distance change by the time change:

Slope = Distance Change / Time Change

= 20 miles / 25 minutes

= 0.8 miles per minute

So, none of the given options (a, b, c, or d) match the meaning of the slope. The correct interpretation is that the car travels approximately 0.8 miles every minute.

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Answer:

Below in bold.

Step-by-step explanation:

a³+1+2a²+2a = (a + 1)(a^2 + a + 1)

a^3 - 1 = (a - 1)(a^2 + a + 1)

a^4 + a^2 + 1) = (a^2 - a + 1)(a^2 + a + 1)

So the LCM is (a + 1)(a - 1) (a^2 - a + 1)(a^2 + a + 1).

Answer:

75

Step-by-step explanation:

f(4) means to use 4 in place of x.

f(x) = 3(5)^(x-2)

fill in 4 for

f(4) = 3(5)^(4-2)

do the 4-2 subtraction first

f(4) = 3(5)^2

do the 5 to the 2nd power next.

f(4) = 3(25)

last, multiply.

f(4) = 75

This is just following the typical order of operations.

Answer:

all you do is add all the numbers of the fac es together boom

Step-by-step explanation:

7 in

\( \frac{1}{2} = \frac{x}{84} \\ 84 \times \frac{1}{12} = \frac{x}{84} \times 84 \\ 84 \times \ \frac{1}{12} = x \\ 7 = x\)

Answer: ∠16 and ∠11

Step-by-step explanation:

      All of these answer options include ∠16, so we know we're looking for an angle that is corresponding to ∠16. A corresponding angle is an angle that is in the same relative position. We will look at ∠9, ∠11, ∠2, and ∠12 since those are the given answer options, and see which is corresponding.

The correct corresponding angles are ∠16 and ∠11.

Answer:

0.3372 = 33.72% probability of having a sample mean of 116.8 or less for a random sample of this size

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 \(\mu\) and standard deviation \(\sigma\), the z-score of a measure X is given by:

\(Z = \frac{X - \mu}{\sigma}\)

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 estabilishes that, for a normally distributed random variable X, with mean \(\mu\) and standard deviation \(\sigma\), the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean \(\mu\) and standard deviation \(s = \frac{\sigma}{\sqrt{n}}\).

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

The mean IQ score of its members is 118, with a standard deviation of 17.

This means that \(\mu = 118, \sigma = 17\)

Sample of 35:

This means that \(n = 35, s = \frac{17}{\sqrt{35}}\)

What is the probability of having a sample mean of 116.8 or less for a random sample of this size?

This is the pvalue of Z when X = 116.8. So

\(Z = \frac{X - \mu}{\sigma}\)

By the Central Limit Theorem

\(Z = \frac{X - \mu}{s}\)

\(Z = \frac{116.8 - 118}{\frac{17}{\sqrt{35}}}\)

\(Z = -0.42\)

\(Z = -0.42\) has a pvalue of 0.3372

0.3372 = 33.72% probability of having a sample mean of 116.8 or less for a random sample of this size

Answer:

B

Step-by-step explanation:

Divided 20 by .50 and got this

Answer:     \(a_{1}\) = 3 ;  \(a_{k}\) = \(a_{k - 1}\) + 2.5, where k ≥ 2

Step-by-step explanation:

To define a sequence recursively, we must state the first term and then state a rule for how each successive term can be described from the one before it. For instance, suppose I had the sequence 5, 8, 11, 14, ...

The first term would be \(a_{1}\) = 5

Each successive term where subscript k = 2 for the second term, 3 for the third, and so on, would be  \(a_{k}\) = \(a_{k - 1}\) + 3

So, for my example, the recursive definition for that sequence would be

       \(a_{1}\) = 5 ;  \(a_{k}\) = \(a_{k - 1}\) + 3, where k ≥ 2

In the exercise you have, we go up 2 terms from the first to the third and the value goes up 5 units. We go up 4 terms from the third term to the 7th, we go up 10 units. Apparently, we go up 2.5 units in value as we go from one term to the very next one.

So ...

        \(a_{1}\) = 3 ;  \(a_{k}\) = \(a_{k - 1}\) + 2.5, where k ≥ 2

This happens to be an arithmetic sequence, because we go up the same amount from one term to the next, but please do not assume that is  required for creating a recursive definition. It is not.

I hope this helps.

Answer: d.12

Step-by-step explanation:

Answer: The required number of heads = 30

Step-by-step explanation:

Given, Total tosses = 50

The theoretical probability of getting head = \(\dfrac{1}{2}\)

As per given,

Experimental probability = Theoretical probability + 20% of Theoretical probability

= \(\dfrac{1}{2}+\dfrac{20}{100}\times\dfrac{1}{2}\)

= \(\dfrac{1}{2}+\dfrac{1}{10}=0.5+0.1=0.6\)

Required number of heads = (Experimental probability) x (Total tosses )

= 0.6 x 50

= 30

Hence, the required number of heads = 30

For example: {(1,2), (3,4), (2,3), (4,1))}

Answer:

35 is the Answer

Answer:

84

Step-by-step explanation:

multiply 28 by 3

plzzz give brailiest

Answer: 84 miles

Step-by-step explanation:

4 + 4 + 4 = 12

Which means you take 28*3 to get the product and that product is 84 miles.

If the brain volumes (cm³) of 20 brains have a mean of 1085.2 cm³ and a standard deviation of 125.6 cm³. For such data: it is significantly low for a brain because 1386.4 cm³ is less than the upper limit.

Mean = 1085.2 cm³

Standard deviation = 125.6 cm³

Hence,

Lower limit = Mean - 2 x Standard deviation

Lower limit  =1085.2 - 2 x 125.6

Lower limit =1161.2 - 251.2

Lower limit  =910

Upper Limit = Mean + 2 x Standard deviation

Upper Limit = 1161.2 +  2 x 125.6

Upper Limit =1161.2 +251.2

Upper Limit =1412.4

The limit of values is from 910 to 1412.4.

A value below 910 will be is considered low and a value above 1412.4  will be considered high

Therefore 1386.4 cm³ is less than the upper limit. Thus it is significantly low for a brain.

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Answer:

Step-by-step explanation:

Let the muffin number = x

Let the pie number = y

x + y = 30                                 Solve for y. Subtract x from both sides

y = 30 - x    

Now calculate the cost

2.5 x + 9 = 4.5 y                        Substitute for y on the right.

2.5x  +9 =  4.5 (30 - x)              Remove the brackets.

2.5x  + 9 = 135 - 4.5 x               Add 4.5 x to both sides

2.5x + 4.5x + 9 = 135                Combine the left.

7x + 9 = 135                               Subtract 9 from both sides

7x = 135 - 9

7x = 126                                      Divide by 7                                

7x/7 = 126 / 7

x = 18

There were 18 muffins

x + y = 30

18 + y = 30                                Subtract 18 from both sides

y = 12

Answer: