The length of a photograph is 4 in. greater than its width. The area of the photograph is
52. in? What are the dimensions of the photograph?

Answer:

27.09% of the panthers weigh less than 76 pounds

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

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.

Mean of 82 pounds and a standard deviation of 9.8 pounds.

This means that [tex]\mu = 82, \sigma = 9.8[/tex]

What percent of the panthers weigh less than 76 pounds?

The proportion is the pvalue of Z when X = 76. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{76 - 82}{9.8}[/tex]

[tex]Z = -0.61[/tex]

[tex]Z = -0.61[/tex] has a pvalue of 0.2709

0.2709*100% = 27.09%

27.09% of the panthers weigh less than 76 pounds

Answer:

x+2y=2.....(1)

x-2y=2......(2)

(substrate 1 in 2

x=2

substitutes x in 1

2+2y=2

4y=2

y=4/2

y=2

mn + m + n + 1

m(n +1) + (n+1)

( n + 1) ( m + 1)

x (y+ z) -5 (y + z)

( y + z ) ( x- 5 )

Answer:

Step-by-step explanation:

y = 2(x-6)(x-2) = 2(x²-8x+12) = 2x² - 16x + 24

Answer: $99.99

Step-by-step explanation:

$399.99 * .25 (discount) = $99.99

Answer:

[tex]\theta=41.18^{\circ}[/tex]

Step-by-step explanation:

Given that,

The height of the tree, h = 14 ft

The height of the shadow, b = 16 ft

We need to find the angle of elevation of the sun from the ground. Let the angle be θ. We can use trigonometry to find it. So,

[tex]\tan\theta=\dfrac{P}{B}\\\\\tan\theta=\dfrac{14}{16}\\\\\theta=41.18^{\circ}[/tex]

So, the required angle of elevation of the sun is equal to [tex]41.18^{\circ}[/tex].

Answer:

20 happy to helPNMNJHUJN

Step-by-step explanation:

Answer:

x=4 z=117

Step-by-step explanation:

Answer:

x = 4, z = 117

Step-by-step explanation:

14x + 7 and 63 are vertically opposite angles and are congruent, then

14x + 7 = 63 ( subtract 7 from both sides )

14x = 56 ( divide both sides by 14 )

x = 4

z and 63 are adjacent angles and are supplementary, then

z + 63 =180 ( subtract 63 from both sides )

z = 117

Answer:

x<4

Step-by-step explanation:

Answer:

For people that are doing this lesson on I-Ready

The points Lie on a straight line that goes through the origin.

The graph shows a relationship that is Proportional.

Step-by-step explanation:

Answer:

Step-by-step explanation:

lie on

goes

Answer: x=9

Step-by-step explanation:

Answer:

24

Step-by-step explanation:

8 * 3 = 24

12 * 2 = 24

(the star is the multiplication sign)

Hope this helps :)

Step-by-step explanation:

perp. -1/2

y + 3 = -1/2(x - 4)

y + 3 = -1/2x + 2

y = -1/2x - 1

Answer:

The equation of the line is:

[tex]y = -\frac{1}{3}x - 2[/tex]

Step-by-step explanation:

Equation of a line:

The equation of a line has the following format:

[tex]y = mx + b[/tex]

In which m is the slope and b is the y-intercept, that is, the value of y when x = 0.

(0,-2)

This means that the y-intercept is -2, that is, [tex]b = -2[/tex]. So

[tex]y = mx - 2[/tex]

Finding the slope:

When we have two points, the slope is given by the change in y divided by the change in x.

We have points  (6,-4) and (0,-2).

Change in y: -2 - (-4) = -2 + 4 = 2

Change in x: 0 - 6 = -6

Slope: [tex]m = \frac{2}{-6} = -\frac{1}{3}[/tex]

So the equation of the line is:

[tex]y = -\frac{1}{3}x - 2[/tex]

Answer:

By the way that it is worded, I believe that you are only allowed to put 1 charm on the bracelet, so there are 9 ways to pick a charm.

Hope this helps(and also if you have a more refined wording please put it in the comments)!

Answer:

By the way that it is worded, I believe that you are only allowed to put 1 charm on the bracelet, so there are 9 ways to pick a charm.

Answer:

3x - 4y = -4

Step-by-step explanation:

When you put co-ordinate in it then give zero

3(-4)-4(-2)+3=0

3x-4y=-4   equations represent the line that is parallel to 3x - 4y = 7 and passes through the point (-4,-2).

The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.

The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.

The slope of line passing through two points (x₁, y₁) and (x₂, y₂) is

m=y₂-y₁/x₂-x₁

The given equation is 3x - 4y = 7

Convert it to slope intercept form

-4y = 7 - 3x

4y=-7+3x

y=-7/4+3/4x

y=3/4x-7/4

3/4 is the slope and the parallel line should also have the same slope.

Now equation of line passing through (-4, -2)

-2=3/4(-4)+b

-2=-3+b

-1=b

So y=3/4x-1

3x-4y=-4 is another equation represents the line which is parallel.

Hence, 3x-4y=-4   equations represent the line that is parallel to 3x - 4y = 7 and passes through the point (-4,-2).

To learn more on slope of line click:

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Answer:

the answer is 11

I hope it helps

have a nice day

#Captainpower

Answer: w(10) = -12

Step-by-step explanation:

w(n) = -n - 2; Find w(10)

w(10) = -(10) - 2

w(10) = -10 - 2

w(10) = -12

Answer:

6500 / 100 = 65

Step-by-step explanation:

if you are dividing a number that has zeros by 10/100/1000... you can cancel out the zeros to find the answer.

Answer:

Never:

Step-by-step explanation:

because its more understandable we know this because it wouldnt be always

Answer:

6 units to the right, 3 units down

Step-by-step explanation:

Answer:

4

Hope it helps

Please mark me as the brainliest

Thank you

common difference = t2 - t1 for all terms.

therefore d = -2 - (-6)

= -2 + 6

= 4

hope it helps :D

Answer:

182.82812

Step-by-step explanation:

Answer:

[tex]l = \sqrt[3]{\frac{2V}{7}}[/tex]     [tex]b = \sqrt[3]{\frac{2V}{7}}[/tex]       [tex]h = \sqrt[3]{\frac{49V}{4}}[/tex]

Step-by-step explanation:

Represent the volume of the box with V and the dimensions with l, b and h.

The volume (V) is:

[tex]V = l * b * h[/tex]

Make h the subject of the formula

[tex]h = \frac{V}{lb}[/tex]

The surface area (S) of the aquarium is:

[tex]S = lb + 2(lh + bh)[/tex]

Where lb represents the area of the base (i.e. slate):

The cost (C) of the surface area is:

[tex]C = 7 * lb + 1 * 2(lh + bh)[/tex]

[tex]C = 7lb + 2(lh + bh)[/tex]

[tex]C = 7lb + 2h(l + b)[/tex]

Substitute [tex]\frac{V}{lb}[/tex] for h in the above equation

[tex]C = 7lb + 2*\frac{V}{lb}(l + b)[/tex]

[tex]C = 7lb + \frac{2V}{lb}(l + b)[/tex]

[tex]C = 7lb + \frac{2V}{b} + \frac{2V}{l}[/tex]

Differentiate with respect to l and with respect to b

[tex]C_l=7b - \frac{2V}{l^2}[/tex] [tex]=0[/tex]

[tex]C_b=7l - \frac{2V}{b^2}[/tex] [tex]=0[/tex]

To solve for b and l, we equate both equations and set l to b (to minimize the cost)

[tex]7b - \frac{2V}{l^2}=7l - \frac{2V}{b^2}[/tex]

[tex]7l - \frac{2V}{l^2}=7b - \frac{2V}{b^2}[/tex]

By comparison:

[tex]l =b[/tex]

[tex]C_l=7b - \frac{2V}{l^2}[/tex] [tex]=0[/tex] becomes

[tex]7l - \frac{2V}{l^2}=0[/tex]

[tex]7l = \frac{2V}{l^2}[/tex]

Cross Multiply

[tex]7l^3 = 2V[/tex]

Solve for l

[tex]l^3 = \frac{2V}{7}[/tex]

[tex]l = \sqrt[3]{\frac{2V}{7}}[/tex]

Recall that: [tex]l =b[/tex]

[tex]b = \sqrt[3]{\frac{2V}{7}}[/tex]

Also recall that:

[tex]h = \frac{V}{lb}[/tex]

[tex]h = \frac{V}{\sqrt[3]{\frac{2V}{7}}*\sqrt[3]{\frac{2V}{7}}}[/tex]

[tex]h = \frac{V}{\sqrt[3]{\frac{4V^2}{49}}}[/tex]

Apply law of indices

[tex]h = \sqrt[3]{\frac{49V^3}{4V^2}}[/tex]

[tex]h = \sqrt[3]{\frac{49V}{4}}[/tex]

The dimension that minimizes the cost of material of the aquarium is:

[tex]l = \sqrt[3]{\frac{2V}{7}}[/tex]     [tex]b = \sqrt[3]{\frac{2V}{7}}[/tex]       [tex]h = \sqrt[3]{\frac{49V}{4}}[/tex]

Answer:

369

Step-by-step explanation:

The researchers need a sample size of 385 to estimate the proportion of adults who would say they learned something new in the past month with a 95% confidence level and a margin of error of no more than ±5%.

The margin of error is the amount of error or uncertainty in a statistical estimate, usually an estimate of a population parameter based on a sample.

We have,

To create a one-sample z-interval, the following steps can be followed:

Determine the sample size (n) and the sample proportion p.

Since no sample size or proportion is given in the problem, we cannot proceed with this step.

Determine the level of confidence (C) for the interval. In this case, the researchers want a confidence level of 95%, so C = 0.95.

Find the critical value (z*) for the level of confidence.

This can be done using a standard normal distribution table or a calculator.

For a 95% confidence level, the critical value is 1.96.

Calculate the margin of error (ME) using the formula:

ME = z x √(p x (1 - p) / n)

Since the margin of error is given as no more than ±5%, we can set it equal to 0.05 and solve for the required sample size:

0.05 = 1.96 x √(0.4 x (1 - 0.4) / n)

Solving for n, we get:

n = (1.96 / 0.05)² x 0.4 x (1 - 0.4)

n ≈ 384.16

Since the sample size must be a whole number, we round up to the nearest integer and get n = 385.

Therefore,

The researchers need a sample size of 385 to estimate the proportion of adults who would say they learned something new in the past month with a 95% confidence level and a margin of error of no more than ±5%.

Learn more about margin of error here:

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Answer:

no te entiendo

yo también la busco

where is the question I dont see it

Answer:

58121141

Step-by-step explanation:

99165+67894321= 67993486  

67993486-9872345= 58121141