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olga2289 [7]
3 years ago
14

I just need help with this

Mathematics
1 answer:
Alexxx [7]3 years ago
3 0

Answer:

z = 4.5

Step-by-step explanation:

∠B = ∠B      ∠BAD = 90° - ∠B = ∠C

ΔBAD ~ ΔBCA

AB / z = BD / AB

z = AB * AB / BD = 3*3 / 2 = 4.5

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Suppose that adult women in China have heights that are normally distributed with a mean = 155 centimeters and a standard deviat
mezya [45]

Answer:

84.134%

Step-by-step explanation:

We solve this question using the z score formula.

The formula for calculating a z-score is z = (x-μ)/σ

where

x is the raw score

μ is the population mean

σ is the population standard deviation.

We are were asked in the question that:

Suppose that adult women in China have heights that are normally distributed with a

mean = 155 centimeters

standard deviation = 8 centimeters. Of the Chinese women, what percent are shorter than 163cm?

Using the z score formula

z = (x-μ)/σ

z = (163 - 155)/8

z = 8/8

z = 1

Determining the Probability value from Z-Table:

P(x ≤ 163) = P(x < 163)

= 0.84134

Converting to percentage

= 0.84134 × 100%

= 84.134%

The percent of Chinese women that are shorter than 163cm is 84.134%

8 0
4 years ago
An initial deposit of $50 is made into an account that had a 5% interest rate compounded annually. Which expression
OverLord2011 [107]

Answer:

The Amount of money in the account after t years $50 (1.05)^{t}  

Step-by-step explanation:

Given as :

The principal deposited into account = $50

The rate of interest = 5% compounded annually

The time period for deposit = t years

Let the amount into account after t years = $A

now, According to question

<u>From compound Interest method</u>

Amount = principal × (1+\dfrac{\textrm rate}{100})^{\textrm time}

Or, A = $50 × (1+\dfrac{\textrm r}{100})^{\textrm t}

Or, A = $50 × (1+\dfrac{\textrm 5}{100})^{\textrm t}

Or, A = $50 × (1.05)^{t}

or, A = $50 (1.05)^{t}

So, The amount in account after t years = A =  $50 (1.05)^{t}

Hence, The Amount of money in the account after t years $50 (1.05)^{t}  . Answer

8 0
3 years ago
Which statement shows the associative property of addition?
AleksAgata [21]
The associative property of addition is shown in equations where the order in which the evaluation is made does not change the result, providing the numbers remain in the same order.  Option B demonstrates this.

8 0
3 years ago
Read 2 more answers
It takes 1 cup of sugar to make 12 bran muffins.How many cups of sugar are needed to make 15 muffins? How do you know?
ohaa [14]
Well if we look at it this way, 12 divided by 4 equals 3 and 3 times 5 equals 15, so 1 cup divided in to four is one fourth cup. So your Answer is one fourth a cup.

ANSWER 1/4 Cup
6 0
3 years ago
Select ALL of the expressions equivalent to 4(7-6x)
Rom4ik [11]

Answer:

28-24x

Step-by-step explanation:

4(7-6x)= 28-24x

choices:

28-6x

-24x+28

-24x+28

28-24x

6 0
3 years ago
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