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Mademuasel [1]
2 years ago
5

1. A rectangular kitchen sink is 25.25 inches long, 19,75 inches wide, and

Mathematics
1 answer:
Lerok [7]2 years ago
6 0

Answer: 4,986.875

Step-by-step explanation: Multiply 25.25 x 19.75. Then, multiply the product by 10, or shift the decimal point one place to the right.

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A table top in the shape of a trapezoid has an area of 2250 square centimeters and the shorter base is 80 centimeters. The longe
Citrus2011 [14]
The area of a trapezoid has a formula of:
Area = (a + b) h / 2

Using the formula, we can easily find the height of the trapezoid.
<span>Area = (a + b) h / 2
</span>2250 = (80 + 100) h / 2
2250 = 180h / 2
2250 = 90h
h = 25 centimeters

So the height of the trapezoid is 25 centimeters.
3 0
3 years ago
If ABF= (7x + 20), FBC=(2x - 5), and ABC= 159", find the value of x. x =
s2008m [1.1K]

Given :

∠ABF = ( 7x + 20 )°

∠FBC=(2x - 5)°

∠ABC= 159°

To Find :

The value of x .

Solution :

Assuming B the center of a circle .

So , all three given angles must be added to 360° .

(7x+20)+(2x-5)+159=360\\\\9x+15+159=360\\\\x=20.67

Therefore , the value of x is 20.67° .

Hence , this is the required solution .

3 0
3 years ago
Noam walks home from school by walking 8 blocks north and then 6 blocks east. how much shorter would his walk be if there were a
nalin [4]
The distance he travels is 6+8=14 blocks. the straight line distance is the hypotenuse of a right triangle with legs 8 and 6.
6²+8³=c²
36+64=c²
100=c²
c= √100 = 10 blocks.
3 0
3 years ago
Read 2 more answers
Answer the following questions.
svetoff [14.1K]

Answer:

Step-by-step explanation:

Hello!

The standard normal distribution is a bell-shaped distribution with mean 0 and standard deviation 1.

a.

You need to find the number of Z so that 0.9986 of the distribution is below it. Symbolically:

P(Z≤a) = 0.9986

To do so you have to use the table of the standard deviation distribution. These tables show values of accumulative probabilities

(right entry, positive values of Z) and

(left entry of the table, negative numbers of Z)Since the probability value greater than 0.5 (remember, for this distribution, the mean is zero and the cumulative probability to the mean is the 50% of the distribution), you have to look for it in the body of the right Z-table and then reach the margins to know the corresponding Z value. The first column shows the integer and first decimal and the first row shows the second decimal.

(1st attachment)

Z= 2.98

b.

Now you have to look for a value of the distribution that has above it 60% of the distribution, symbolically:

P(Z>b)=0.6

Now the table only gives you values "less or equal than" the corresponding value of Z. So you have to rewrite this expression so that you cand find the missing value. A little reminder: The maximal value of probability for any distribution is 1. So you can rewrite the expression as:

P(Z>b)=0.6 ⇒ P(Z≤b)= 1 - 0.6

P(Z≤b)= 0.4

This value of Z accumulates a probability of 40% since it is less than 50% then you have to look for this value in the left entry of the table and b will be a negative value of Z. Just as before, look for the probability in the body of the table and then the corresponding Z value in the margins. (2nd attachment)

Z= - 0.25

I hope this helps!

5 0
3 years ago
Explain how you can find a fraction that equivalent to 1/4
Sveta_85 [38]
Divide the numerator into the denominator making it a mixed fraction
7 0
3 years ago
Read 2 more answers
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