3x+ax-6>-10. Determine the largest integer value of a when x= -2

How many different sets of initials can be formed if every person has one surname (i.e., last name) and either one or two given

Dima020 [189]

The different sets of initials can be formed if every person has one surname (i.e., last name) and either one or two given names (i.e., a first name, or a first and middle name) is 15600.

There are 26 possible letters, each set of initials would have 3 letters in it, order doesnt matter, i.e. ABC does not equal ACB. So type in 26P3 on your calculator (P=permutation).

15600.

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4 0

2 years ago

33. Suppose that the scores on a statewide standardized test are normally distributed with a mean of 78 and a standard deviation

tino4ka555 [31]

Given the scores on a statewide standardized test are normally distributed

Mean = μ = 78

Standard deviation = σ = 3

Normalize the data using the z-score by using the following formula and chart:

$z=\frac{x-\mu}{\sigma}$

Estimate the percentage of scores of the following cases:

(a) between 75 and 81

so, the z-score for the given numbers will be:

$\begin{gathered} 75\rightarrow z=\frac{75-78}{3}=\frac{-3}{3}=-1 \\ 81\rightarrow z=\frac{81-78}{3}=\frac{3}{3}=1 \end{gathered}$

As shown, the percentage when (-1 < z < 1) = 68%

(b) above 87

$87\rightarrow z=\frac{87-78}{3}=\frac{9}{3}=3$

The percentage when (z > 3) = 0.5%

(c) below 72

$72\rightarrow z=\frac{72-78}{3}=\frac{-6}{3}=-2$

The percentage when (z < -2) = 0.5 + 2 = 2.5%

(d) between 75 and 84

$\begin{gathered} 75\rightarrow z=\frac{75-78}{3}=-\frac{3}{3}=-1 \\ 84\rightarrow z=\frac{84-78}{3}=\frac{6}{3}=2 \end{gathered}$

The percentage when ( -1 < z < 2 ) = 68 + 13.5 = 81.5%

3 0

1 year ago

What is the measure of x?

Oliga [24]

Answer:

58

Step-by-step explanation:

5 0

3 years ago

Read 2 more answers

Square QRST is similar to Square KLMN. The ratio of the length of side QR to the length of side KL is 3:2. If side ST=9 cm, what

Anna [14]

Answer:

LM = 6 cm

Step-by-step explanation:

A square has all the sides equal in length. The opposite sides of a square is parallel to each other and all the angles are equal to 90°.

Therefore , the square QRST has all it sides equal in length. Likewise the square KLMN .

The ratio of side QR to the length side KL is 3:2 . If the side ST = 9 cm , The length of side LM can be gotten below.

ST = 9 cm since QRST is a square all the other sides are 9 cm . The length of KLMN is equal for all sides too. The ratio for any sides of square QRST to any sides of square KLMN is the same through out.

Therefore,

3/2 = 9/LM

cross multiply

3LM = 18

divide both sides by 3

LM = 18/3

LM = 6 cm

3 0

3 years ago

Use a calculator to approximate acute angle A to the nearest whole degree sin A=0.6 Measure of angle A =

Bas_tet [7]

Answer:

$m \angle A = 37^{\circ}$

Step-by-step explanation:

Let be $\sin A = 0.6$ , then we must solve for $A$ by means of the following expression:

$A = \sin^{-1} 0.6$ (1)

Since it is an inverse trigonometric function, it can be solved only by numerical methods such as application of infinite series such as Taylor series. This approach is used for current scientific calculators. According to scientific calculator we have the following result:

$A = \sin^{-1} 0.6 \approx 36.87^{\circ} \to 37^{\circ}$

7 0

3 years ago