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4 years ago

32.5% of what is 12.48?

1 answer:

7 0

Percent is the amount of something in a whole per amount of the whole times 100. To solve for this problem, we write an expression and assign x as the number that represents the number where 32.5% is equal to 12.48.

(32.5/100)x = 12.48
x = 38.4

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FinnZ [79.3K]

D, the answer is 4 and all of the numbers in d are number that can be divided by 4! good luck!

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3 years ago

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6x ^2 + 3x - 4x +2 that's if please help solveee

natta225 [31]

The answer is 11X + 2

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4 years ago

If MN=NQ and MQ=QR=RP, calculate for x

Akimi4 [234]

Answer:

C. 18°

Step-by-step explanation:

<em>Refer to attached diagram</em>

<h3>Given </h3>

MN = NQ
MQ = QR = RP
NMR = 3x
QMR = x

Value of x

<h3>Solution</h3>

MN = NQ ⇒ ∠MRN = ∠QMN = 3x+x = 4x
MQ = QR ⇒ ∠MRQ = ∠QMR = x

<u>RQP is exterior angle of ΔMQR ⇒ </u>

∠RQP = x + x = 2x

∠RPQ = ∠RQP = 2x

<u>∠QRN is exterior angle of ΔQRP ⇒ </u>

∠QRN = 2x + 2x = 4x

∠MRN = ∠QRN - ∠QRM = 4x - x = 3x

NR = MQ

∠NQR = ∠QRN = 4x

<u>We now have a straight angle MQP:</u>

∠MQP = ∠MQN + ∠RQN + ∠RQP
180° = 4x + 4x + 2x
10x = 180°
x = 18°

Correct choice is C

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3 years ago

Assume the resting heart rates for a sample of individuals are normally distributed with a mean of 75 and a standard deviation o

Shalnov [3]

Answer:

a) 0.975

b) 0.16

c) 0.475

Step-by-step explanation:

The Empirical Rule states that, for a normally distributed random variable:

68% of the measures are within 1 standard deviation of the mean.

95% of the measures are within 2 standard deviation of the mean.

99.7% of the measures are within 3 standard deviations of the mean.

In this problem, we have that:

Mean = 75

Standard deviation = 5

We also have that since the normal distribution is symmetric, 50% of the measures are below the mean and 50% are above.

a. The relative frequency of rates less than 85 using the 68-95-99.7 rule is

85 is two standard deviations above the mean.

So all the 50% below the mean is below 85

And of the 50% above the mean, 95% is less than 85. So

0.5 + 0.95*0.5 = 0.975

b. The relative frequency of rates greater than 80 using the 68-95-99.7 rule is

80 is one standard deviations above the mean.

Of the 50% above the mean, 68% is less than 80. So 100-68 = 32% is more than 80.

0.32*0.5 = 0.16.

c. The relative frequency of rates between 65 and 75 using the 68-95-99.7 rule is

Within the mean and two standard deviations below the mean.

So 95% of 50%

0.95*0.5 = 0.475

6 0

4 years ago

What is the equation of the line that is perpendicular to Y= -2/3X+4 and that passes through (-2,-2)?

ratelena [41]

Answer:

$y = \frac{3}{2}x + 1$

Step-by-step explanation:

-2 = 1½[-2] + b

-3

1 = b

y = 1½x + 1

** 1½ = 3⁄2

Perpendicular Lines have OPPOSITE MULTIPLICATIVE INVERSE <em>RATE</em><em> </em><em>OF</em><em> </em><em>CHANGES</em><em> </em>[<em>SLOPES</em>]:

-⅔ → 1½

I am joyous to assist you anytime.

3 0

3 years ago

Read 2 more answers