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Ilya
6 days ago
10

Match each term to their definition. 1. additive identity the reciprocal of a number; if x is a number other than zero, then 1/x

is the multiplicative inverse; the product of a number and its multiplicative inverse is 1 2. distributive property equation containing more than one variable 3. literal equation a(b +
c. = ab + ac or a(b -
c. = ab - ac 4. multiplicative identity the number 1 (for the real numbers) 5. multiplicative inverse the number 0 (for the real numbers)
Mathematics
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Here are 15,000 students at college x. of those students, 1,700 are taking both ethics and metaphysics this semester. there are
zzz [12365]
I believe there are 1,600 students enrolled in metaphysics.
7 0
2 months ago
Read 2 more answers
John averages 58 words per minute on a typing test with a standard deviation of 11 words per minute. Suppose John's words per mi
Zina [12379]

Answer:

When x = 72, the z score is:

z = \frac{72-58}{11}= 1.273

The average is 58

This z-score indicates that x= 72 is 1.273 standard deviations above the mean.

Step-by-step explanation:

Let’s consider the following details for this question: John's typing speed on a test is assumed to follow a normal distribution. Let X denote the number of words he can type in a minute. Hence, X ~ N(58, 11). It’s important to round the result to three decimal points if needed.

Provide your response below for words per minute on a typing test conducted on Sunday. The z score when x = 72 is

In this scenario, we acknowledge that the variable under consideration is represented by a normal distribution:

X \sim N (\mu= 58, \sigma=11)

The formula for the z score is as follows:

z = \frac{X -\mu}{\sigma}

By substituting values, we derive:

z = \frac{72-58}{11}= 1.273

The mean is 58

This z-score indicates that x= 72 is 1.273 standard deviations higher than the mean.

8 0
3 months ago
Sixty percent of all vehicles examined at a certain emissions inspection station pass the inspection. Assuming that successive v
AnnZ [12381]

Answer:

a) 0.216

b) 0.784

c) 0.288

d) 0.352

e) 0.784

Step-by-step explanation:

The steps for solving this are provided in an image.

8 0
2 months ago
If m<9=97° and m<12=114°, find each measure. I have to show my work.
Leona [12618]

Solution/Step-by-step breakdown:

Information provided:

m<9 = 97°

m<12 = 114°

a. m<1 = m<9 because they are corresponding angles, which are equal.

m<1 = 97° (using substitution)

b. m<2 + m<1 = 180° (since they form a linear pair)

m<2 + 97° = 180° (substitute the value)

m<2 = 180 - 97 (subtracting 97 from both sides)

m<2 = 83°

c. m<3 = m<11 (as they are corresponding angles)

m<11 + m<12 = 180° (linear pair)

m<11 + 114° = 180° (substituting the known angle)

m<11 = 180 - 114

m<11 = 66°

m<3 = m<11 = 66°

d. m<4 + m<3 = 180° (linear pair)

m<4 + 66° = 180° (substituting the known angle)

m<4 = 180 - 66

m<4 = 114°

e. m<5 = m<2 as vertical angles are equal.

m<5 = 83° (using substitution)

f. m<6 = m<1 (vertical angles are equal)

m<6 = 97° (using substitution)

g. m<7 = m<4 (as vertical angles are equal)

m<7 = 114° (using substitution)

h. m<8 = m<3 (due to vertical angles being equal)

m<8 = 66° (using substitution)

i. m<10 = m<2 (corresponding angles are equal)

m<10 = 83° (using substitution)

j. m<11 = m<3 (because they are vertical angles)

m<11 = 66° (using substitution)

k. m<13 = m<5 (corresponding angles)

m<13 = 83° (applying substitution)

l. m<14 = m<9 (as vertical angles)

m<14 = 97° (applying substitution)

m. m<15 = m<12 (as vertical angles)

m<15 = 114° (applying substitution)

n. m<16 = m<11 (because they are vertical angles)

m<16 = 66° (applying substitution)

3 0
3 months ago
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