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3 years ago

Find the value of x round to the nearest tenth

Mathematics

1 answer:

zzz [600]3 years ago

7 0

Answer:

4.1 cm

Step-by-step explanation:

The segment marked x bisects the chord, so the triangle shown has legs x and 7.8, and hypotenuse 8.8.

The Pythagorean theorem can be used to find x:

8.8² = x² +7.8²

x² = 8.8² -7.8² = 77.44 -60.84 = 16.60

x = √16.6

x ≈ 4.1 . . . cm

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Suppose the time a child spends waiting at for the bus as a school bus stop is exponentially distributed with mean 7 minutes. De

Gala2k [10]

Answer:

The probability that the child must wait between 6 and 9 minutes on the bus stop on a given morning is 0.148.

Step-by-step explanation:

Let the random variable X represent the time a child spends waiting at for the bus as a school bus stop.

The random variable X is exponentially distributed with mean 7 minutes.

Then the parameter of the distribution is, $\lambda=\frac{1}{\mu}=\frac{1}{7}$ .

The probability density function of X is:

$f_{X}(x)=\lambda\cdot e^{-\lambda x};\ x>0,\ \lambda>0$

Compute the probability that the child must wait between 6 and 9 minutes on the bus stop on a given morning as follows:

$P(6\leq X\leq 9)=\int\limits^{9}_{6} {\lambda\cdot e^{-\lambda x}} \, dx$

$=\int\limits^{9}_{6} {\frac{1}{7}\cdot e^{-\frac{1}{7} \cdot x}} \, dx \\\\=\frac{1}{7}\cdot \int\limits^{9}_{6} {e^{-\frac{1}{7} \cdot x}} \, dx \\\\=[-e^{-\frac{1}{7} \cdot x}]^{9}_{6}\\\\=e^{-\frac{1}{7} \cdot 6}-e^{-\frac{1}{7} \cdot 9}\\\\=0.424373-0.276453\\\\=0.14792\\\\\approx 0.148$

Thus, the probability that the child must wait between 6 and 9 minutes on the bus stop on a given morning is 0.148.

6 0

3 years ago

What is 5 times three fourths

Hatshy [7]

When multiplying with fractions you can multiply the top and the bottom independantly
5*3 = 15
1*4 = 4

so 5 * (3/4) = 15/4

6 0

3 years ago

Read 2 more answers

For each point, identify the axis or quadrant where the point is located.

natka813 [3]

(0,6) is on the y-axis. (5,-2) is on the 4th quadrant. (-1,10) is on the 2nd quadrant. (-1/4, -6*1/2) is on the 3rd quadrant. (5,0) is on the x axis. (8.7,2.3) is on the 1rst quadrant

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3 years ago

The perimeter of a rectangular garden is $_64$_ centimeters. The length of the garden is three times the width. Find the length

CaHeK987 [17]

Answer:

length is 24 cm, width is 8 cm

Step-by-step explanation:

3 0

3 years ago

Find the measure of x.

Andru [333]

Answer:

Step-by-step explanation:

Since the triangles are congruent then corresponding angles are congruent

x is the angle between line with 3 strokes and 2 strokes

The corresponding angle is therefore ∠ C

∠ C = 180° - (63 + 29)° = 180° - 92° = 88°

Then x = 88 → C

5 0

3 years ago