If mZADB = 15 then what is m ACB? A B D

ollegr [7]

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5 0

3 years ago

An executive in an engineering firm earns a monthly salary plus a Christmas bonus of $9300. If she earns a total of $86,100 per

VARVARA [1.3K]

86,100-9300=76,800

76,800/12=6,400

Monthly salary is 6,400.

6 0

4 years ago

The blood platelet counts of a group of women have a bell-shaped distribution with a mean of 257.62 and a standard deviation of

Effectus [21]

Answer:

(a) Approximately 68 % of women in this group have platelet counts within 1 standard deviation of the mean, or between 195.5 and 319.7.

(b) Approximately 99.7% of women in this group have platelet counts between 71.3 and 443.9.

Step-by-step explanation:

We are given that the blood platelet counts of a group of women have a bell-shaped distribution with a mean of 257.62 and a standard deviation of 62.1

Let X = the blood platelet counts of a group of women

So, X ~ Normal( $\mu=257.62, \sigma^{2} =62.1^{2}$ )

Now, the empirical rule states that;

68% of the data values lie within the 1 standard deviation of the mean.

95% of the data values lie within the 2 standard deviations of the mean.

99.7% of the data values lie within the 3 standard deviations of the mean.

(a) The approximate percentage of women with platelet counts within 1 standard deviation of the mean, or between 195.5 and 319.7 is 68% according to the empirical rule.

(b) The approximate percentage of women with platelet counts between 71.3 and 443.9 is given by;

z-score of 443.9 = $\frac{X-\mu}{\sigma}$

= $\frac{443.9-257.62}{62.1}$ = 3

z-score of 71.3 = $\frac{X-\mu}{\sigma}$

= $\frac{71.3-257.62}{62.1}$ = -3

So, approximately 99.7% of women in this group have platelet counts between 71.3 and 443.9.

5 0

3 years ago

The increase in the number of humans living on Earth (N, as measured in billions) with time t (as measured in years since 1800)

NemiM [27]

Answer:

The slope of the line would be 0.00910 in a logarithm graphic.

Step-by-step explanation:

Statement is incomplete. The correct sentences are: The increase in the number of humans living on Earth (N, as measured in billions) with time t (as measured in years since 1800) is modeld by the following function: N = 0.892e^0.00910t. If you were to graph in ln (N) versus t, what would be the slope of the line?

Let be $N(t) = 0.892\cdot e^{0.00910\cdot t}$ , where $N(t)$ is the number of humans living on Earth, measured in billions, and $t$ is the time, measured in years since 1800. As we notice, this is an exponential function and its slope is not constant and such expression have to be linearized by using a logartihm graphic. We add logarithms on each side of the formula and simplify the resulting expression by means of logarithmic properties: