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2 years ago

Find the value of x in the isosceles triangle shown below.

Mathematics

1 answer:

miss Akunina [59]2 years ago

8 0

Answer:

D. x=4

Step-by-step explanation:

We can solve this with the Pythagorean Theorem for the right triangle that we can see (which is half of the triangle).

The bottom length is 3 and the hypotenuse is 5.

The Pythagorean Theorem is a²+b²=c².

We can plug this in:

3²+x²=5²

9+x²=25

x²=16

x=4

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D'Quans grandmother made a quilt for his bed.the quilt is 2.44 meters long and 1.83 meters wide.what is the area of the quilt in

Ede4ka [16]

The best way to do this is to first change each of the measurements into feet and then calculate the area:

2.44m = 8.01ft
1.83m = 6.00ft

When multiplied together (to give the area) we get:

8.01*6.00 = 48.1ft²

5 0

3 years ago

Read 2 more answers

Consider the probability that greater than 96 out of 153 DVDs will work correctly. Assume the probability that a given DVD will

ICE Princess25 [194]

Answer:

0.3594 = 35.94% probability that greater than 96 out of 153 DVDs will work correctly.

Step-by-step explanation:

Binomial probability distribution

Probability of exactly x sucesses on n repeated trials, with p probability.

Can be approximated to a normal distribution, using the expected value and the standard deviation.

The expected value of the binomial distribution is:

$E(X) = np$

The standard deviation of the binomial distribution is:

$\sqrt{V(X)} = \sqrt{np(1-p)}$

Normal probability distribution

Problems of normally distributed samples can be 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.

When we are approximating a binomial distribution to a normal one, we have that $\mu = E(X)$ , $\sigma = \sqrt{V(X)}$ .

In this problem, we have that:

$n = 153, p = 0.62$

$\mu = E(X) = np = 153*0.62 = 94.86$

$\sigma = \sqrt{V(X)} = \sqrt{np(1-p)} = \sqrt{153*0.62*0.38} = 6$

Probability that greater than 96 out of 153 DVDs will work correctly.

97 or more DVDs, which is 1 subtracted by the pvalue of Z when X = 97. So

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

$Z = \frac{97 - 94.86}{6}$

$Z = 0.36$

$Z = 0.36$ has a pvalue of 0.6406

1 - 0.6406 = 0.3594

0.3594 = 35.94% probability that greater than 96 out of 153 DVDs will work correctly.

3 0

3 years ago

Brian is riding his bike. He biked a distance of 14 miles at a rate of 14 miles per hour. Rearrange the distance formula, d = rt

Mariana [72]

Answer:

60 minutes

Step-by-step explanation:

The distance formula is:

D = RT

Where

D is distance (in miles)

R is rate (in miles per hour)

T is time (in minutes)

Given,

D = 14 miles

R = 14 miles per hour

We want to find T, so we have:

$D=RT\\T=\frac{D}{R}\\T=\frac{14}{14}\\T=1$

So the time is 1 hour

We want in minutes, and we know 60 minutes is 1 hour, so the time (in minutes) is 60 minutes

8 0

3 years ago

Read 2 more answers

Pls help is due for today pls

pentagon [3]

Answer:

Part A: The rate of change was greater in case of the graph.

Part B: The figure shows the graph of function A in Redline and Function B in blue line

Part C : Initial value of function B is greater than Function A.

Step-by-step explanation:

Here, Function A show graph of a line and Function show table show a set of value of x and y.

Part A). Which function show greater rate of change.

The slope of line is given by m = $\frac{Y2-Y1}{X2-X1}$

For function A:

Given graph passes through points (04) and (2,12)

The slope of line is m= $\frac{12-4}{2-0}$

= $\frac{8}{2}$

= 4

For function B:

Given the table has points (012) and (2,14)

The slope of line is m= $\frac{14-12}{2-0}$

= $\frac{2}{2}$

= 1

Therefore, The rate of change was greater in case of graph.

Part B). Plot the graph of a function B onto the graph of a function A

The figure shows the graph of function A in Redline and Function B in blueline

Line of function A is more tilted toward the y-axis than Line of function B.

Therefore, Rate of change of function A is greater than Function B.

Part C). Which function has greater initial value?

For function A:

From the graph of part B,

When x=0 y=4

For function B:

From the graph of part B,

When x=0 y=12

Therefore, Initial value of function B is greater than Function A.

5 0

3 years ago

What is it multiplying by?<br><br><br>784.5, 78.45, 7.845,0.7845, 0.07845

katrin [286]

Answer:

10,100,1000,-10,-100,-1000

Step-by-step explanation:

3 0

3 years ago