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2 years ago

Help me with the problem please!!

Mathematics

1 answer:

adell [148]2 years ago

7 0

Step-by-step explanation:

Scale factor red to blue meaning 42 to 7

42÷7=6

Scale factor is 6

Perimeter of the blue quadrilateral = ?

If perimeter of red = 204

Then we use this following proportion

$204 \div 42 = x \div 7$

$\frac{204}{42} = \frac{x}{7}$

Then we cross multiply

42x=7×204

42x=1428

x=34

Area of the blue quadrilateral = ?

If area of the red quadrilateral = 2880

Then we use the following proportion

$2880 \div 42 = x \div 7$

$\frac{2880}{42} = \frac{x}{7}$

Then we cross multiply

42x=2880×7

42x=20160

x=480

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Let X be a binomial random variable with p = 0.7 and n = 10. Calculate the following probabilities from the binomial probability

padilas [110]

Answer:

0.4114

0.0006

0.1091

0.1957

Step-by-step explanation:

<u>Given: </u>

p = 0.7 n = 10

We need to determine the probabilities using table , which contains the CUMULATIVE probabilities P(X $\leq$ x).

a. The probability is given in the row with n = 10 (subsection x = 3) and in the column with p = 0.7 of table:

P(X $\leq$ 3) = 0.4114

b. Complement rule:

P( not A) = 1 - P(A)

Determine the probability given in the row with n = 10 (subsection x = 10) and in the column with p = 0.7 of table:

P(X $\leq$ 10) = 0.9994

Use the complement rule to determine the probability:

P(X > 10) = 1 - P(X $\leq$ 10) = 1 - 0.9994 = 0.0006

c. Determine the probability given in the row with n = 10 (subsection x = 5 and x = 6) and in the column with p = 0.7 of table:

P(X $\leq$ 5) = 0.8042

P(X $\leq$ 6) = 0.9133

The probability at X = 6 is then the difference of the cumulative probabilities:

P(X = 6) = P(X $\leq$ 6) - P(X $\leq$ 5) = 0.9133 — 0.8042 = 0.1091

d. Determine the probability given in the row with n = 10 (subsection x = 5 and x = 11) and in the column with p = 0.7 of table:

P(X $\leq$ 5) = 0.8042

P(X $\leq$ 11) = 0.9999

The probability at 6 $\leq$ X $\leq$ 11 is then the difference between the corresponding cumulative probabilities:

P(6 $\leq$ X $\leq$ 11) = P(X $\leq$ 11) - P(X $\leq$ 5) = 0.9999 — 0.8042 = 0.1957

6 0

3 years ago

Which choice is equivalent to the expression below?

sergij07 [2.7K]

Answer:

28 + 2/10 + 4/100

Step-by-step explanation:

28.24

28 ones plus 2 tenths plus 4 hundredths

28 + 2/10 + 4/100

3 0

3 years ago

The table shows information about the numbers of hours 30 children spent on their tablets one evening. a) find the class interva

Bogdan [553]

Answer:

a) 20<h≤30.

b) 26.17 hrs

Step-by-step explanation:

The missing table is shown in attachment.

Part a)

We need to find the class interval that contains the median.

The total frequency is

$\sum \: f = 30$

The median class corresponds to half

$\frac{1}{2} \sum \: f ^{th} - - - value$

That is the 15th value.

We start adding the frequency from the top obtain the least cumulative frequency greater or equal to 15.

2+8+9=19

This corresponds to the class interval 20<h≤30.

Adding from the bottom also gives the same result.

Therefore the median class is 20<h≤30.

b) Since this is a grouped data we use the midpoint to represent the class.

The median is given by :

$\frac{\sum \: fx}{ \sum\: f}$

$= \frac{5 \times 3 + 15\times 8 + 25 \times 9 + 35 \times 7 + 45 \times 4}{30}$

$= \frac{785}{30}$

$= 26.17$

8 0

3 years ago

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Find the ratio in which the line joining the points (2, 4, 16) and (3, 5, -4) is divided by the plane 2x – 3y+ z+ 6 = 0. Also fi

Nastasia [14]

Answer:

Step-by-step explanation:

let the plane intersects the join of points in the ratio k:1

let (x,y,z) be the point of intersection.

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3 years ago

50,000 is _ times as much as 500

natta225 [31]

Answer: 100 x

Step-by-step explanation:.

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3 years ago

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