1 Sole for x. Round your answer to the nearest tenth.*
17
6

Answer:

The standard deviation is $13,052.

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 zscore 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 pvalue, we get the probability that the value of the measure is greater than X.

When the head of the household has a college degree, the mean before-tax family income is $ 85,050.

This means that [tex]\mu = 85,050[/tex]

Suppose that 56% of the before-tax family incomes when the head of the household has a college degree are between $75,000 and $95,100 and that these incomes are normally distributed.

They are equally as far from the mean, one above, and one below. This means that when [tex]X = 95100[/tex], Z has a pvalue of 0.5 + (0.56/2) = 0.78. So when X = 95100, Z = 0.77. We use this to find [tex]\sigma[/tex].

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

[tex]0.77 = \frac{95100 - 85050}{\sigma}[/tex]

[tex]0.77\sigma = 10050[/tex]

[tex]\sigma = \frac{10050}{0.77}[/tex]

[tex]\sigma = 13052[/tex]

The standard deviation is $13,052.

Answer:

B

Step-by-step explanation:

7 times 1x equals 7x. Then 7 times 2= 14. Thirdly, 7x plus 3x equals 10x. Lastly, 14 -3 equals 11. So 10-+11 altogether

Answer:

A is 55°

Step-by-step explanation:

To solve this, you need to remember that the sum of the angles inside a triangle is equal to 180 degrees.

Also, noting that this is an isosceles triangle.  That means that a and b are equal.  With that in mind, we can simply say:

a + b + c = 180

a ≡ b ∴ 2b + c = 180

2(4x + 31)° + (2x + 58)° = 180°

8x° + 62° + 2x° + 58° = 180°

Let's just stop right here, and note that normally you can treat symbols of measurements just like variables.  We've done the same here, applying the distributive property with the ° symbol.  Note though that it's currently part of every single term, so I'm going to factor it out:

(8x° + 62° + 2x° + 58°) / 1° = 180° / 1°

8x + 62 + 2x + 58 = 180

10x + 120 = 180

10x = 60

x = 6

Again noting that A and B are identical due to this being an Isosceles triangle, we can say:

A = (4x + 31)°

A = 24° + 31°

A = 55°

We can also check our answer.  The sum of the angles should be 180, and two of those angles should be 55.  That means that angle C should be 180 - 2 * 55, or 180 - 110 = 70.  Let's test it:

70 = 2x + 58

70 = 12 + 58

70 = 70

So we know that our answer is correct.

Answer:

96 dozen (or/aka) 1152 cupcakes

Step-by-step explanation:

I hope this is right, if not I'm very sorry just bad at math.

Answer:

y = 5x + 100

Step-by-step explanation:

Answer:

no se ingles así que no se pero te doy gracias por los puntos

Answer:

158%

Step-by-step

$15.50 - $6 = $9.50 < Profit

Now To find The Percentage of the markup on the lip gloss?

You Divide $9.50  by $6 And You Will Get This 1.58333333333

For A Percent You Move The Decimal Point Back Two Spots And You Get

158%

I Hope You Understand and i hope i helped you

Answer:

5 kilograms

Step-by-step explanation:

1000 grams is equal to 1 Kilogram, so 5000 Grams is equal to 5 Kilograms

Answer:

D.

Step-by-step explanation:

There is no explanation

Answer:

The system of equation that models the projectile of the two balls is option;

C. y = -16·x² + 12·x + 3

y = -16·x² + 9·x + 3.25

Step-by-step explanation:

The general equation for vertical (upward) motion under gravity is presented as follows;

h - h₀ = u·t + 1/2·g·t²

Where;

h = The final height reached

h₀ = The initial height

u = The initial velocity

g = The acceleration due to gravity ≈ -32 feet/second

t = The time taken

We can rewrite the above equation with different letters for the variables as follows;

h = y,

h₀ = y₀, and

t = x

Therefore, we have;

y - y₀ = u·x - 1/2 × 32 × x²

y = u·x - 1/2 × 32 × x² + y₀ = u·x - 16· x² + y₀

y = u·x - 16· x² + y₀ = -16·x² + u·x + y₀

y = -16·x² + u·x + y₀

For Tara, we have;

u = 12 feet/second

y₀ = 3 feet

Therefore, we get;

y = -16·x² + 12·x + 3

For Mallory, we have;

u = 9 feet/second

y₀ = 3.25 feet

Therefore, we get;

y = -16·x² + 9·x + 3.25

The correct option is therefore;

y = -16·x² + 12·x + 3

y = -16·x² + 9·x + 3.25

Answer:

a=4

b=5

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

ESPERO TE A YDUE :)

Answer:

29.3

Step-by-step explanation:

Sin(49)/5.4 = Sin(S)/3.5

Cross multiply.

0.4891636168

Sin^-1(0.4891636168) = 29.28562335

Round to nearest tenth.

29.3

Answer:

-3,3 this is because that is where both of the lines intersect making them both a solution for both equations.

Step-by-step explanation:

Answer:

B. (-3, 3)

Step-by-step explanation:

Point of intersection of both the lines is the solution to both the equations.

Both the lines are intersecting each other at point (-3, 3)

So, ordered pair of solution is (-3, 3)

Answer:

x = 3

Step-by-step explanation:

the diagonals bisect each other so:

6x + 2 = 20

subtract 2 from both sides of the equation:

6x = 18

x = 18/6

x = 3

cut off the topright rectangle so there are 2 rectangles.

That will make it look like this

2x3=6

            +

5x3=15

            =

21

            The area of that shape would be 21 square feet

21 square ft                                                                                                                                              

u got 3K i only got 1K cuz i be spending it on my house and emotes and food ;-;

Answer:

3

Step-by-step explanation:

9 divided by 3 is 3

Given:

The width of a kitchen is 4.2 metres.

Kitchen cupboard widths are 60 cm.

To find:

The number of kitchen cupboard that will fit in 4.2 metres.

Solution:

Let x be the number of kitchen cupboard that will fit in 4.2 metres.

Width of 1 cupboard = 60 cm

Width of x cupboards = 60x cm

We know that, 1 m = 100 cm.

Width of a kitchen = 4.2 metres

                              = 4.2×100 cm

                              = 420 cm

Now, the width of the x cupboards is equal to width of the kitchen.

[tex]60x=420[/tex]

[tex]x=\dfrac{420}{60}[/tex]

[tex]x=7[/tex]

Therefore, the number of kitchen cupboard that will fit in 4.2 metres is 7.

Answer:

360 - 98 = 262

Step-by-step explanation:

Answer:

Multiply the second equation by 2

Step-by-step explanation:

Given

[tex]4x + 3y = 8[/tex]

[tex]2x + 5y =12[/tex]

Required

Get matching coefficient for elimination

[tex]4x + 3y = 8[/tex]

[tex]2x + 5y =12[/tex]

The coefficient of x in both expressions are factors.

So, we can multiply the second equation by 2 to get the coefficient of x in the first.

i.e.

[tex]2 * (2x + 5y = 12)[/tex]

[tex]4x + 10y = 24[/tex]

So, the system becomes:

[tex]4x + 3y = 8[/tex]

[tex]4x + 10y = 24[/tex]

Now, x can be eliminated

Step-by-step explanation:

a triangle is the area of 2

Answer:

7 is 50 , 8 is84, 9 is 45, 10 is 135, 11 is 155 and 12 is 80

Step-by-step explanation:

Not sure............but i think it is 8x-1y= -11

Answer:

The mean of the sampling distribution of sample means would be of 23.4 pounds.

Step-by-step explanation:

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].

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

What would be the mean of the sampling distribution of sample means?

By the Central Limit Theorem, the population mean, that is, of 23.4 pounds.

Answer:

$177

Step-by-step explanation:

35.40 * 5 = 177 you multiply 35.40 with 5

Answer:

60.8

Step-by-step explanation:

Step 1: Go on g oogle

Step 2: Type "79% of 77"

Step 3: Round your answer 60.83 to 60.8 because it said round to the nearest tenth.

Answer:

I believe it's A

Step-by-step explanation:

not sure but

Answer:

yes, cuz the rational numbers is said to be 0 or real numbers.

Answer:

The proportion of disks which are defective is 0.16.

Step-by-step explanation:

The proportion of defective disks is the number of defective disks in the sample divided by the size of the sample.

In this question:

2346 disks.

1971 not defective, so 2346 - 1971 = 375 defective.

[tex]p = \frac{375}{2346} = 0.16[/tex]

The proportion of disks which are defective is 0.16.