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3 years ago

How many times does 4 go into 90.5?

2 answers:

8 0

To find the answer, you need to divide 90.5 by 4. The answer to that is 22.625, and if you want to check the answer, 22.625 x 4 = 90.5. Hope this helps :)

lapo4ka [179]3 years ago

5 0

22.625..........................................................................

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When will the equation p(b)=520(0.88)^b have a value less than 100?

yulyashka [42]

Answer:

The given equation will have value less than 100 whenever the value of b is greater than 12.89

Step-by-step explanation:

For the given equation, p(b) = 520 × $0.88^{b}$ to have a value less than 100 we can establish inequality as:

p(b) < 100

or, 520 × $0.88^{b}$ < 100

or, $\frac{520}{520}$ × $0.88^{b}$ < $\frac{100}{520}$

or, $0.88^{b}$ < $\frac{1}{5.2}$

or, ㏒ ( $0.88^{b}$ ) < ㏒ ( $\frac{1}{5.2}$ )

or, b× ㏒ 0.88 < ㏒ ( $\frac{1}{5.2}$ )

or, $\frac{log (\frac{1}{5.2}) }{log (0.88)}$ < b

or, 12.89 < b

Hence for the equation to have value less than 100, b must be greater than 12.89.

3 0

3 years ago

If the area of a triangular kite is 60 square feet and its base is 10 feet, find the height of the kite.

11Alexandr11 [23.1K]

The area of the triangular kite would be 12 feet

3 0

3 years ago

Are this two triangles similar?

Alex73 [517]

<h3>Answer: </h3><h3>Yes, the triangles are similar</h3><h3>AC = 6</h3>

======================================================

Explanation:

Focus on triangle ABC. Let's find the missing angle

A+B+C = 180

113+B+22 = 180

B+135 = 180

B = 180-135

B = 45

Between the triangles, have two pairs of angles that are congruent

A = D = 113

B = E = 45

Which is enough to prove the triangles are similar through the angle angle (AA) similarity theorem. This must mean that C = F = 22

Since we have A pair with D, and B pair with E, this means that $\triangle ABC \sim \triangle DE F$

The order of the letters is important so we know how the angles pair up. The first letters pair up together, the second letters pair up, and so on.

Consequently, this means sides BC and EF pair up and AC and DF pair up

We can then say...

BC/EF = AC/DF

18/12 = x/4

18*4 = 12*x

72 = 12x

12x = 72

x = 72/12

x = 6

AC = 6

5 0

3 years ago

A fire department in a rural county reports that its response time to fires is approximatelyNormally distributed with a mean of

____ [38]

Answer:

Option C) 0.25

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 22 minutes

Standard Deviation, σ = 11.9 minutes

We are given that the distribution of response time is a bell shaped distribution that is a normal distribution.

Formula:

$z_{score} = \displaystyle\frac{x-\mu}{\sigma}$

P(response times is over 30 minutes)

P(x > 30)

$P( x > 30) = P( z > \displaystyle\frac{30 - 22}{11.9}) = P(z > 0.6722)$

$= 1 - P(z \leq 0.6722)$

Calculation the value from standard normal z table, we have,

$P(x > 30) = 1 - 0.749= 0.251 = 25.1\%$

Thus, the correct answer is

Option C) 0.25

3 0

3 years ago

Read 2 more answers

Susan wanted to share her 37 seashells with her two younger brothers. If she divided her seashells between the three of them, ho

VikaD [51]

Given :

Susan wanted to share her 37 seashells with her two younger brothers.

To Find :

If she divided her seashells between the three of them, how many would each person get.

Solution :

Let, each person will get x seashells.

So,

$x = \dfrac{\text{Total number of seashells}}{\text{Number of persons}}\\\\x = \dfrac{37}{3}\\\\x = 12.333$

But as we know seashells cannot be in decimal.

Therefore, each person will get exactly 12 shells.

8 0

3 years ago