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3 years ago

Which is greater 30% of 30 or 28% of 32 ? You must show your working.

Mathematics

2 answers:

seropon [69]3 years ago

7 0

Answer:

30% of 30 > 28% of 32

Step-by-step explanation:

30% of 30:

0.3 x 30 = 9

28% of 32:

0.28 x 32 = 8.96

9 > 8.96

Alborosie3 years ago

5 0

Answer:

30% of 30 = 9

28% of 32 = 8.96

Step-by-step explanation:

0.30 x 30 = 9

0.28 x 32 = 8.96

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SAT verbal scores are normally distributed with a mean of 433 and a standard deviation of 90. Use the Empirical Rule to determin

laila [671]

34% of the scores lie between 433 and 523.

Solution:

Given data:

Mean (μ) = 433

Standard deviation (σ) = 90

Empirical rule to determine the percent:

(1) About 68% of all the values lie within 1 standard deviation of the mean.

(2) About 95% of all the values lie within 2 standard deviations of the mean.

(3) About 99.7% of all the values lie within 3 standard deviations of the mean.

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

$$Z(433)=\frac{433-\ 433}{90}=0$

$$Z(523)=\frac{523-\ 433}{90}=1$

Z lies between o and 1.

P(433 < x < 523) = P(0 < Z < 1)

μ = 433 and μ + σ = 433 + 90 = 523

Using empirical rule, about 68% of all the values lie within 1 standard deviation of the mean.

i. e. $((\mu-\sigma) \ \text{to} \ (\mu+\sigma))=68\%$

Here μ to μ + σ = $\frac{68\%}{2} =34\%$

Hence 34% of the scores lie between 433 and 523.

8 0

3 years ago

If you get this, you are a critical thinker. I enter the garden. There are 34 people. You kill 30. How many people are in the ga

Elena L [17]

Answer:

Step-by-step explanation:

is it 34 because you haven't moved the bodies. however including you there's 35???

3 0

3 years ago

Read 2 more answers

Use the given endpoint R and the midpoint M of segment RS to find the coordinates of the other endpoint S. (Hint: Use the midpoi

zimovet [89]

Using the given endpoint R (8,0)and the midpoint M (4,-5) , the other endpoint S is (0,-10)

Explanation :

Use the given endpoint R and the midpoint M of segment RS

R (8, 0 ) and M (4, -5 )

Let 'S' be (x2,y2)

Apply the midpoint formula

$(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2} )\\$

Endpoint R is (x1,y1) that is (8,0)

Substitute the values and make it equal to M(4,-5)

$(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2} )\\\\(\frac{8+x_2}{2},\frac{0+y_2}{2} )=(4,-5)\\\\\frac{8+x_2}{2}=4\\8+x_2=8\\x_2=8-8=0\\x_2=0\\\\\\\frac{0+y_2}{2} =-5\\y_2=-10$

So other endpoint S is (0,-10)

Learn more : brainly.com/question/16829448

8 0

3 years ago

An image of a rectangular pyramid is shown below: A right rectangular pyramid is shown. Part A: A cross section of the rectangul

valentina_108 [34]

Answer:

Part a) Rectangle

Part b) Triangle

Step-by-step explanation:

The picture of the question in the attached figure N 1

Part A) A cross section of the rectangular pyramid is cut with a plane parallel to the base. What is the name of the shape created by the cross section?

we know that

When a geometric plane slices any right pyramid so that the cut is parallel to the plane of the base, the cross section will have the same shape (but not the same size) as the base, So, in the case of a right rectangular pyramid, the cross section is a rectangle

Part b) If a cross section of the rectangular pyramid is cut perpendicular to the base, passing through the top vertex, what would be the shape of the resulting cross section?

we know that

Cross sections perpendicular to the base and through the vertex will be triangles

see the attached figure N 2 to better understand the problem

5 0

4 years ago

A hose fills an empty fish tank with 24 gallons of water in 8 minutes. At that same rate, how many minutes will it take the hose

kolezko [41]

Answer:

$\frac{8}{24} = \frac{x}{60}$

24x = 8*60

24x = 480

x = 20

Step-by-step explanation:

3 0

3 years ago