What is the surface area of this square pyramid

Answer:

minimum and value of 4

Step-by-step explanation:

[tex]\frac{dx}{dy} = 2x-8[/tex]

When [tex]\frac{dx}{dy}=0[/tex]  we will be able to get the critical points.

[tex]2x-8 =0[/tex][tex]x=4[/tex]

The graph is a quadratic graph with a 'U' shape, thus it has a minimum critical point.

Answer:

c

Step-by-step explanation:

√(x-5)²=±√3

x-5=±√3

x=5±√3

To solve the quadratic equation (x - 5)² = 3, take the square root of both sides to give x - 5 = ± √3, then add 5 to each side to give x = 5 ± √3. The two possible solutions are x = 5 + √3 and x = 5 - √3.

The question is asking to solve the equation (x - 5)² = 3. This is a quadratic equation in the form (x-a)² = b. To solve it, you should start by taking the square root on both sides.

Step 1: √[(x - 5)²] = √[3]

This leads to: x - 5 = ± √3

Step 2: Followed by adding 5 to both sides

x = 5 ± √3

So there are two possible solutions: x = 5 + √3 and x = 5 - √3.

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Answer:

x = -12/6 = -2

x = -18/6 = -3

Step-by-step explanation:

The zeros in an equation is the same thing as the x's.

3x²+15x+18 = 0  (Where a = 3, b = 15, c = 18)

One thing you could do to find the answer is use the quadratic formula:

x = (-b ± √(b²-4ac))/2a =

(-15 ± √15² - (4*3*18))/2*3 =

(-15 ± √225 - 216)/6 =

(-15 ± √9)/6 =

(-15 ± 3) / 6.

To find the first x we need to do (-15 + 3) / 6 and to find the second x we need to do (-15-3) / 6.

x = -12/6 = -2

x = -18/6 = -3

To find the zeros of the quadratic equation 3x^2 + 15x + 18 = 0, use the quadratic formula to obtain the values of x.

To find the zeros of the quadratic equation 3x^2 + 15x + 18 = 0, we can use the quadratic formula.

The quadratic formula states that for an equation of the form ax^2 + bx + c = 0, the solutions for x are given by:

x = (-b ± sqrt(b^2 - 4ac)) / (2a)

Plugging in the values from our equation, we get:

x = (-15 ± sqrt(15^2 - 4*3*18)) / (2*3)

After evaluating the expression, we find that the zeros of the equation are x = -3 and x = -2.

The probable question may be:

find the zero of 3x^2+15x+18=0 using any method.

Complete Question:

The typical lifespan for various mammal species in captivity (L) in years has been related to average adult size (M) in kilograms according to the regression equation seen below.

[tex]ln L = 2.468 + 0.2 (lnM)[/tex]

A typical adult Meerkat weighs about 0.9 kilograms. What is the predicted lifespan of a Meerkat incaptivity, according to this equation? * 2 points 11.6 years 2.4 years 14.1 years 2.6 years 28.8 years

Answer:

Option A) L = 11.6 years

Step-by-step explanation:

From the given equation:

[tex]ln L = 2.468 + 0.2 (lnM)[/tex]..........(1)

Average adult size, M = 0.9 kg

Putting the value of M into the regression equation in (1)

[tex]ln L = 2.468 + 0.2 (ln0.9)\\ln L = 2.468 + (-0.02107)\\ln L = 2.447\\L = e^{2.447} \\L = 11.55 years[/tex]

The question is an illustration of regressions.

The lifespan of a typical adult Meerkat that weighs about 0.9 kilograms is (a) 11.6 years

The regression equation is given as:

[tex]\ln(L) = 2.468 + 0.2\ln(M)[/tex]

From the question, we have:

M = 0.9

Substitute 0.9 for M in [tex]\ln(L) = 2.468 + 0.2\ln(M)[/tex]

[tex]\ln(L) = 2.468 + 0.2\ln(0.9)[/tex]

Take natural logarithm of 0.9

[tex]\ln(L) = 2.468 + 0.2\times -0.1054[/tex]

[tex]\ln(L) = 2.468 -0.02108[/tex]

[tex]\ln(L) = 2.44692[/tex]

Take exponents of both sides

[tex]L = e^{2.44692}[/tex]

[tex]L = 11.553[/tex]

Approximate

[tex]L = 11.6[/tex]

Hence, the lifespan is (a) 11.6 years

Read more about regression equations at:

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Answer:

c. Opt-out: Allow consumers to quest to be removed from have been contacted.

Step-by-step explanation:

The Caffe Gutoso is considering a marketing strategy to promote its business. The owner want to send emails to its potential customers. Before sending the email the sender must insert email permission strategy as send an email from Caffe Gutoso and place and Opt-out option for those customers who are not willing to receive any email from the Caffe.

Answer:

Is there a picture of the table I will try and solve but I'm not sure if I can

Answer:

0,3,7/4

Step-by-step explanation: In the equation,x-1/4 means 1/4 is subtracted from x to find each value of y,we need to take each value of x and subtract 1/4 for example: when x = 1/4: y = 1/4 - 1/4 , y = 0

Answer:

26

Step-by-step explanation:

p = 19

p + 7 = 19 + 7

= 26

So, the value of p + 7 is 26

Hope it helps and is useful :)

Answer:

[tex]b = 12\,m[/tex] and [tex]h = 12\,m[/tex]

Step-by-step explanation:

The formula of the area for a triangle is:

[tex]A = \frac{1}{2}\cdot b\cdot h[/tex]

Where:

[tex]b[/tex] - Base

[tex]h[/tex] - Height

But [tex]b = h[/tex], then, the formula is simplified into this form:

[tex]A = \frac{1}{2}\cdot b^{2}[/tex]

Now, all known variables are substituted and the base is:

[tex]b = \sqrt{2\cdot A}[/tex]

[tex]b = \sqrt{2\cdot (72\,m^{2})}[/tex]

[tex]b = \sqrt{144\,m^{2}}[/tex]

[tex]b = 12\,m[/tex]

And the height is:

[tex]h = 12\,m[/tex]

The base and height of the triangle, both having equal measures, are found to be 12 meters each by using the formula for the area of a triangle and quadratic equations.

The subject of this problem is triangle geometry within Mathematics. The area of a triangle is calculated using the formula A = 1/2 * base * height. Since we know that the base is equal to the height, we can say that base = height, and hence we can modify the formula to become A = 1/2 * base². Given that the area A is 72 square meters, we substitute this value back into the equation to calculate it as follows:

72 = 1/2 * base².

Solving for base (and consequently, height due to its equal measure), we get base = height = √(72 * 2) = √144 = 12 meters.

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Answer:

Step-by-step explanation:

The amount Gia got for her car was ...

  1800/3000 × 100% = 60%

of the amount it is worth. This percentage is less than the 70% Gia wanted as a minimum. She did not get what she wanted.

Answer: 3 foot

Step-by-step explanation:

Answer:

a)Null hypothesis:- H₀: μ> 500

  Alternative hypothesis:-H₁ : μ< 500

b) (5211.05 , 5411.7)

95% lower confidence bound on the mean.

c) The test of hypothesis t = 5.826 >1.761 From 't' distribution table at 14 degrees of freedom at 95% level of significance.

Step-by-step explanation:

Step :-1

Given  a random sample of 15 devices is selected in the laboratory.

size of the small sample 'n' = 15

An average life of 5311.4 hours and a sample standard deviation of 220.7 hours.

Average of sample mean (x⁻) =  5311.4 hours

sample standard deviation (S) = 220.7 hours.

Step :- 2

a) Null hypothesis:- H₀: μ> 500

Alternative hypothesis:-H₁ : μ< 500

Level of significance :- α = 0.95 or 0.05

b) The test statistic

[tex]t = \frac{x^{-} - mean}{\frac{S}{\sqrt{n-1} } }[/tex]

[tex]t = \frac{5311.4 - 500}{\frac{220.7}{\sqrt{15-1} } }[/tex]

t = 5.826

The degrees of freedom γ= n-1 = 15-1 =14

tabulated value t =1.761 From 't' distribution table at 14 degrees of freedom at 95% level of significance.

calculated value t = 5.826 >1.761 From 't' distribution table at 14 degrees of freedom at 95% level of significance.

Null hypothesis is rejected at  95% confidence on the mean.

C) The 95% of confidence limits

[tex](x^{-} - t_{0.05} \frac{S}{\sqrt{n} } ,x^{-} + t_{0.05}\frac{S}{\sqrt{n} } )[/tex]

substitute values and simplification , we get

[tex](5311.4 - 1.761 \frac{220.7}{\sqrt{15} } ,5311.4 +1.761\frac{220.7}{\sqrt{15} } )[/tex]

(5211.05 , 5411.7)

95% lower confidence bound on the mean.

Answer:

It's either B or A

Step-by-step explanation:

If I had to choose one I would pick B because I did the math; and logically, that answer makes the most sense.

Answer:

15 players played in the chess tournament.

Step-by-step explanation:

When there are 15 players, the first player plays 14 games and step aside.

remaining 14 player

next player plays 13 games. steps aside

remaining 13 players

next player plays 12 games. steps aside

remaining 12 players

next player plays 11 games. steps aside

remaining 11 players

.

.

.

.

Last player plays 1 game and steps aside

remaining 1 player who will not play against himself.

∴ Sum of all games played

= 14 + 13 + 12 + 11 + 10 + 9 + 8 + 7 + 6 + 5 + 4 + 3 + 2 + 1 = 105 games played

Answer:

Step-by-step explanation:

Let be the number of players. There was a game for every pair of players, so there must be 105 pairs of players.

(−1)/2=105.

should be easy to solve after that.

Answer:

C) The initial number of leaves on the plant was 3.

Step-by-step explanation:

The plant has initially 3 leaves and is multiplied by 2 every week. Therefore, the answer is C.

Answer:

139 boys

Step-by-step explanation:

Using the given information, we can set up a system of equations.

Let the number of girls in the class be x and let the number of boys in the class be y.

x + y = 351

x = y + 73

Solving this system of equations would tell you that there are 139 boys in this graduating class.

Leave a comment if you want me to be a bit more in-depth.

The probability that a randomly selected airfare between Boston and Orlando will be less than $300 is approximately 10.04%.

To find the probability that a randomly selected airfare between Boston and Orlando will be less than $300, we need to calculate the z-score and use the standard normal distribution table.

Therefore, the probability that a randomly selected airfare between Boston and Orlando will be less than $300 is approximately 0.10035, or 10.04%.

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Final answer:

To find the lower quartile of a data set, sort the data in ascending order and find the median of the lower half.

Explanation:

To calculate the lower quartile of a data set, you need to find the median of the lower half of the data. In this case, we have 10 blood glucose readings. To find the lower quartile:

First, sort the data in ascending order: 88, 97, 101, 104, 104, 107, 109, 117, 121, 147.

Since we have an even number of values (10), the lower half has 10/2 = 5 values.

The median of the lower half of the data is the average of the two middle values: 104 and 104. So, the lower quartile is 104.

Answer:B) Two inscribed angles that intercept the same arc are congruent.

Step-by-step explanation:

I just took the test

Answer:

Probability that their mean weight will be between 413 grams and 464 grams is 0.8521.

Step-by-step explanation:

We are given that a particular fruit's weights are normally distributed, with a mean of 426 grams and a standard deviation of 37 grams.

Also, you pick 9 fruit at random.

Let [tex]\bar X[/tex] = sample mean weight

The z-score probability distribution for sample mean is given by;

              Z = [tex]\frac{\bar X-\mu}{\frac{\sigma}{\sqrt{n} } }[/tex]  ~ N(0,1)

where, [tex]\mu[/tex] = population mean weight = 426 grams

            [tex]\sigma[/tex] = population standard deviation = 37 grams

            n = sample of fruits = 9

The Z-score measures how many standard deviations the measure is away from the mean. After finding the Z-score, we look at the z-score table and find the p-value (area) 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.

So, probability that the mean weight of 9 fruits picked at random will be between 413 grams and 464 grams is given by = P(413 grams < [tex]\bar X[/tex] < 464 grams) = P([tex]\bar X[/tex] < 464 grams) - P([tex]\bar X[/tex] [tex]\leq[/tex] 413 grams)

 P([tex]\bar X[/tex] < 464 grams) = P( [tex]\frac{\bar X-\mu}{\frac{\sigma}{\sqrt{n} } }[/tex] < [tex]\frac{464-426}{\frac{37}{\sqrt{9} } }[/tex] ) = P(Z < 3.08) = 0.99896

 P([tex]\bar X[/tex] [tex]\leq[/tex] 413 grams) = P( [tex]\frac{\bar X-\mu}{\frac{\sigma}{\sqrt{n} } }[/tex] [tex]\leq[/tex] [tex]\frac{413-426}{\frac{37}{\sqrt{9} } }[/tex] ) = P(Z [tex]\leq[/tex] -1.05) = 1 - P(Z < 1.05)

                                                               = 1 - 0.85314 = 0.14686

{Now, in the z table the P(Z [tex]\leq[/tex] x) or P(Z < x) is given. So, the above probability is calculated by looking at the value of x = 3.08 and x = 1.05 in the z table which has an area of 0.99896 and 0.85314 respectively.}

Therefore, P(413 grams < [tex]\bar X[/tex] < 464 grams) = 0.99896 - 0.14686 = 0.8521

Hence, the probability that their mean weight will be between 413 grams and 464 grams is 0.8521.

Answer:

A. a circle, B. an octagon, E. a decagon, F. a triangle

Step-by-step explanation:

Squares and rectangles can be made by slicing a cube.

Answer:

A

a circle

B

an octagon

E

a decagon

Step-by-step explanation:

I had this question on my math test and these are correct

Answer:

Step-by-step explanation:

The given function is

[tex]f(t)=-10t^{2}+40t+8[/tex]

To find the maximum height reached by the ball, we need to find the vertex of the parabolla represented by the given quadratic equation.

Remember that a vertex has coordinates (h,k), where [tex]h=-\frac{b}{2a}[/tex] and [tex]k=f(h)[/tex].

According to the given function, we have

[tex]a=-10[/tex] and [tex]b=40[/tex]

[tex]h=-\frac{40}{2(-10)}=\frac{40}{20}=2[/tex]

[tex]k=f(2)=-10(2)^{2} +40(2)+8=-10(4)+80+8=-40+80+8=48[/tex]

So, the vertex has coordinates of (2,48), which means the maximum height reached by the baseball is 48 feet.

Answer:

Bottling plant B (with 175,000 sports drinks per day), because the daily mean will be closer to 21 fluid ounces with more sports drinks in the sample.

Given Information:

Mean volume = μ = 20 fl oz

Sampling size of plant A = n₁ = 50,000 drinks/day

Sampling size of plant B = n₂ = 175,000 drinks/day

Required Information:

Which bottling plant is less likely to record a mean volume of 21 fl oz ?

Answer:

Plant B is less likely to record a mean volume of 21 fl oz

Step-by-step explanation:

The standard deviation of the plant A is given by

σa = σ/√n₁

The standard deviation of the plant B is given by

σb = σ/√n₂

Where σ is standard deviation for the mean volume of 20 fl oz and it is fixed.

As you can notice in the above relation, the standard deviation of the plants depend upon the number of samples (n). As the number of sample increases, the standard deviation of samples decreases which means that the mean of the samples will be closer to the actual mean (that is 20 fl oz).

Since the plant B has more samples (n₂ = 175,000) then its standard deviation (σb) will be less and the mean will be closer to 20 fl oz therefore, it is less likely that it will record a mean of 21 fl oz.

Plant A is more likely to record a mean volume of 21 fl oz

Answer:  a) 0.9980, b) 0.0013, c) 0.0020, d) 0.00000026, e) 0.0318

Step-by-step explanation:

Problem 8-4 A computer time-sharing system receives teleport inquiries at an average rate of .1 per millisecond. Find the probabilities that the number of inquiries in a particular 50-millisecond stretch will be:

Since we have given that

[tex]\lambda=0.1\ per\ millisecond=5\ per\ 50\ millisecond=5[/tex]

Using the poisson process, we get that

(a) less than or equal to 12

probability=  [tex]P(X\leq 12)=\sum _{k=0}^{12}\dfrac{e^{-5}(-5)^k}{k!}=0.9980[/tex]

(b) equal to 13

probability= [tex]P(X=13)=\dfrac{e^{-5}(-5)^{13}}{13!}=0.0013[/tex]

(c) greater than 12

probability= [tex]P(X>12)=\sum _{k=13}^{50}\dfrac{e^{-5}.(-5)^k}{k!}=0.0020[/tex]

(d) equal to 20

probability= [tex]P(X=20)=\dfrac{e^{-5}(-5)^{20}}{20!}=0.00000026[/tex]

(e) between 10 and 15, inclusively

probability=[tex]P(10\leq X\leq 15)=\sum _{k=10}^{15}\dfrac{e^{-5}(-5)^k}{k!}=0.0318[/tex]

Hence, a) 0.9980, b) 0.0013, c) 0.0020, d) 0.00000026, e) 0.0318

Using the Poisson distribution, the probability of x inquires in a particular 50-millisecond stretch will be:

[tex]P(X = x) = \frac{e^{-5}5^{x}}{(x)!}[/tex]

In this problem, we are given the mean during an interval, which means that the Poisson distribution is used.

Poisson distribution:

In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by:

[tex]P(X = x) = \frac{e^{-\mu}\mu^{x}}{(x)!}[/tex]

The parameters are:

x is the number of successes

e = 2.71828 is the Euler number

[tex]\mu[/tex] is the mean in the given interval.

We are given an average rate of 0.1 inquires per millisecond.

50-millisecond interval, thus [tex]\mu = 50(0.1) = 5[/tex]

Then, the probability of x inquires in a particular 50-millisecond stretch will be:

[tex]P(X = x) = \frac{e^{-5}5^{x}}{(x)!}[/tex]

A similar problem is given at https://brainly.com/question/24098004

Answer:

A Dot Plot, also called a dot chart or strip plot, is a type of simple histogram-like chart used in statistics for relatively small data sets where values fall into a number of discrete bins (categories). ... A dot plot is a graphical display of data using dots

Answer:

The probability that neither player gets on base is 0.4824

Step-by-step explanation:

1. Both players get to base. Just multiply the two probabilities together:

= (probability first batter gets on base) x (probability second batter gets on base, if the first batter gets on base)

= 0.23 x 0.38

= 0.0874

2. One player gets to base. The formula here is P(A+B) =P(A) + P(B) - P(A) x P(B)

= (probability first batter gets on base) + (probability second batter gets on base, if the first batter does not) - (0.23 x 0.26)

= 0.23 + 0.26 - (0.23 x 0.26)

= 0.49 - 0.0598

= 0.4302

3. Neither player gets to base = 1 - addition of the previous two cases.

= 1 - (0.0874 + 0.4302)

= 1 - 0.5176

= 0.4824

Answer:

$15.88

Step-by-step explanation:

[tex]\frac{(21.28 - 16.72)}{(69-31)}[/tex]

$4.56 / 38 min

$0.12 / 1 min

76 - 69 = 7 minutes

7 x .12 = .84

16.72 - .84 = 15.88

Answer:

Q= 27/10

Step-by-step explanation:

Answer: [tex]q=\frac{27}{10}[/tex]

Step-by-step explanation:

[tex]\frac{10}{9}=\frac{3}{q}[/tex]

Multiply by q.

[tex]q*\frac{10}{9}=\frac{3}{q}*q[/tex]

[tex]\frac{10}{9}q=3[/tex]

Now multiply by the reciprocal of [tex]\frac{10}{9}[/tex] which is the inverted fraction. [tex]\frac{9}{10}[/tex]

[tex]\frac{9}{10}*\frac{10}{9}q=3*\frac{9}{10}[/tex]

[tex]q=\frac{27}{10}[/tex]

The correct answer is 27√​3

Answer: The area or "the answer" will be 27√​3

Step-by-step explanation:

Answer:

Since Ashley swam more laps per minute, she's a faster swimmer than Austin.

Step-by-step explanation:

Austin:

She swam 1.4 laps per minute

Ashley:

9 laps in 6 minutes

So, per minute

9/6 = 1.5 laps per minute

Since Ashley swam more laps per minute, she's a faster swimmer than Austin.

Answer:

t

Step-by-step explanation: