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jekas [21]
3 years ago
5

50 POINTS QUICK Given that a­­b = x, evaluate the following:

Mathematics
1 answer:
Butoxors [25]3 years ago
7 0

Answer:

2)The answer is x*a^2 because the equation is saying a^b*a^2. And if we knew that a^b = x, then the answer is x*a^2

Step-by-step explanation:

You might be interested in
1 divided by 7+3 root 2
slega [8]

Answer:

7-3√2/31

Step-by-step explanation:

Rationalise it and you'll get your answer.

3 0
3 years ago
Tanya has a garden with a trench around it. The garden is a rectangle with width 2 1/2 m and length 2 m. The trench and garden t
vichka [17]

Answer:

The area of a trench is 5.5 m² .

Step-by-step explanation:

Formula

Area of a rectangle = Length × Breadth

As given

Tanya has a garden with a trench around it.

The\ garden\ is\ a\ rectangle\ with\ width\ 2\frac{1}{2}\ m\ and\ length\ 2\ m.

i.e

The\ garden\ is\ a\ rectangle\ with\ width\ \frac{5}{2}\ m\ and\ length\ 2\ m.

Put in the above formula

Area\ of\ garden = \frac{5\times 2}{2}

                             = 5 m²

As given

The\ trench\ and\ garden\ together\ make\ a\ rectangle\ with\ width\ 3 \frac{1}{2}\ m\ and\ length\ 3 m.

i.e

The\ trench\ and\ garden\ together\ make\ a\ rectangle\ with\ width\ \frac{7}{2}\ m\ and\ length\ 3 m.

Area\ of\ garden\ with\ trench = \frac{7\times 3}{2}

Area\ of\ garden\ with\ trench = \frac{21}{2}

                                                  = 10.5 m²

Area of the trench = Area of garden with trench - Area of garden

Put the value in the above

Area of the trench = 10.5 m² - 5 m²

                               = 5.5 m ²

Therefore the area of a trench is 5.5 m² .


5 0
3 years ago
Read 2 more answers
A hiker maintains an average speed of 3 3/4 km/h. How many kilometers will the hiker walk in: 2 1/6 h
Sunny_sXe [5.5K]
I'm not all that familiar with that sort of representation, but I guess 3 3/4 = 15/4 and 2 1/6 = 13/6.

You will simply have to multiply the time spent walking, 13/6 hours, by the average distance traveled on an hourly basis, 15/4 km/h.

(13*15)/(4*6) = 195/24 = 8,125 km
7 0
3 years ago
Tell which number is greater.<br><br> 1/3, 30%
Olin [163]
Mhm pretty sure 1/3
8 0
3 years ago
A set of city temperatures in April are normally distributed with a mean of 19.7 degrees Celsius and a standard deviation of 2 d
Sati [7]

Answer:

19.77% of average city temperatures are higher than that of Cairo

Step-by-step explanation:

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

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

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this question, we have that:

\mu = 19.7, \sigma = 2

What percentage of average city temperatures are higher than that of Cairo?

This is 1 subtracted by the pvalue of Z when X = 21.4.

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

Z = \frac{21.4 - 19.7}{2}

Z = 0.85

Z = 0.85 has a pvalue of 0.8023

1 - 0.8023 = 0.1977

19.77% of average city temperatures are higher than that of Cairo

6 0
3 years ago
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