What number sets or set does 11 belong to?

3/10 divided by -1/3

Snezhnost [94]

Answer:

-9/10

Step-by-step explanation:

Find the LCM of 10 and 3: 30
Alter the numerators to fit the denominators: 3 × 3 = 9, -1 × 10 = -10
Re-write the fractions: 9/30 ÷ -10/30
9/30 ÷ -10/30 = 9/30 × -30/10
9/30 × -30/10 = -270/300
$-\frac{270}{300} = -\frac{9}{10}$

I hope this helps!

8 0

3 years ago

Graph the image of this triangle after a dilation with a scale factor of 2 centered at the origin.

Svet_ta [14]

Answer:

Since, the coordinates of the given triangle are (0,0), (4,-4) and (-4,-2)

In the dilation by the scale factor k with centered at origin,

$(x,y)\rightarrow (kx,ky)$

Thus, If the dilation occurs by the scale factor of 2 with centered at origin,

New coordinates of the triangles are,

$(0,0)\rightarrow (2\times 0, 2\times 0)$

$(-4,4)\rightarrow (2\times -4, 2\times 4)$

$(-4,-2)\rightarrow (2\times -4, 2\times -2)$

Thus, the coordinates of new triangle are,

(0,0) ( -8, 8) and (-8,-4)

7 0

3 years ago

Lenny bought a motorcycle. he paid 12.5% in tax. the tax added $1437.50 to the price of the motorcycle. what was the price of th

Lyrx [107]

<span><span>In order to calculate the initial price of the motorcycle, we use the formula:
Total item price=(Item price*tax rate)+item price.
Rearranging the equation to solve for the unknown:
Item price=total item price/Tax rate.
Substituting the real values into the formula:
Item cost=1,437/12.5%. The result of this equation determines that the original price of the motorcycle (not including tax) is:
$11,496-$1,437=$10,059</span></span>

6 0

3 years ago

While attempting to solve the equation , Hazel made an error. Her work is shown to the right. Explain the mistake, and provide t

balu736 [363]

Answer:

Step-by-step explanation:

X=-11 because,

Step 1: Simplify both sides of the equation.

x

2

+

4

x

=

77

Step 2: Subtract 77 from both sides.

x

2

+

4

x

−

77

=

77

−

77

x

2

+

4

x

−

77

=

0

Step 3: Factor left side of equation.

(

x

−

7

)

(

x

+

11

)

=

3 0

3 years ago

Tompkins Associates reports that the mean clear height for a Class A warehouse in the United States is 22 feet. Suppose clear he

coldgirl [10]

Given Information:

Mean clear height = μ = 22 feet

Standard deviation of clear height = σ = 4 feet

Required Information:

a) P(X > 16) = ?

b) P(X < 14) = ?

c) P(25 < X < 30) = ?

Answer:

a) P(X > 16) = 93.12%

b) P(X < 14) = 2.27%

c) P(25 < X < 30) = 20.39%

Step-by-step explanation:

What is Normal Distribution?

We are given a Normal Distribution, which is a continuous probability distribution and is symmetrical around the mean. The shape of this distribution is like a bell curve and most of the data is clustered around the mean. The area under this bell shaped curve represents the probability.

a) We want to find out the probability that the clear height is greater than 16 feet.

$P(X > 16) = 1 - P(X < 16)\\\\P(X > 16) = 1 - P(Z < \frac{x - \mu}{\sigma} )\\\\P(X > 16) = 1 - P(Z < \frac{16 - 22}{4} )\\\\P(X > 16) = 1 - P(Z < \frac{-6}{4} )\\\\P(X > 16) = 1 - P(Z < -1.5)\\\\$

The z-score corresponding to -1.5 is 0.0668

$P(X > 16) = 1 - 0.0668\\\\P(X > 16) = 0.9312\\\\P(X > 16) = 93.12 \%$

Therefore, the probability that the clear height is greater than 16 feet is 93.12%

b) We want to find out the probability that the clear height is less than 14 feet

$P(X < 14) = P(Z < \frac{x - \mu}{\sigma} )\\\\P(X < 14) = P(Z < \frac{14 - 22}{4} )\\\\P(X < 14) = P(Z < \frac{-8}{4} )\\\\P(X < 14) = P(Z < -2)\\\\$

The z-score corresponding to -2 is 0.02275

$P(X < 14) = 0.02275\\\\P(X < 14) = 2.27 \%$

Therefore, the probability that the clear height is less than 14 feet is 2.27%

c) We want to find out the probability that the clear height is between 25 and 30 feet.

$P(25 < X < 30) = P( \frac{x - \mu}{\sigma} < Z < \frac{x - \mu}{\sigma} )\\\\P(25 < X < 30) = P( \frac{25 - 22}{4} < Z < \frac{30 - 22}{4} )\\\\P(25 < X < 30) = P( \frac{3}{4} < Z < \frac{8}{4} )\\\\P(25 < X < 30) = P( 0.75 < Z < 2 )\\\\$

The z-score corresponding to 0.75 is 0.7734 and 2 is 0.9773

$P(25 < X < 30) = P( Z < 2 ) - P( Z < 0.75 ) \\\\P(25 < X < 30) = 0.9773 - 0.7734 \\\\P(25 < X < 30) = 0.2039\\\\P(25 < X < 30) = 20.39 \%$

Therefore, the probability that a child spends more than 4 hours and less than 8 hours per day unsupervised is 20.39%

How to use z-table?

Step 1:

In the z-table, find the two-digit number on the left side corresponding to your z-score. (e.g 1.5, 2.2, 0.5 etc.)

Step 2:

Then look up at the top of z-table to find the remaining decimal point in the range of 0.00 to 0.09. (e.g. if you are looking for 1.50 then go for 0.00 column)

Step 3:

Finally, find the corresponding probability from the z-table at the intersection of step 1 and step 2.

6 0

3 years ago