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irinina [24]
2 years ago
7

10 Points + brainliest. 7a + 50 = 247

Mathematics
2 answers:
erik [133]2 years ago
7 0

Answer:

a= 190

Step-by-step explanation:

7a+50=247

=7a = 247-50

= a = 197-7

= a = 190

Oliga [24]2 years ago
4 0

Answer:

a = 28.14 (Estimated)

Step-by-step explanation:

7a + 50 = 247

=> 7a = 197

=> a = 28.1428571429 (Using Calculator)

=> a = 28.14 (Estimated)

Hoped this helped.

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Thickness measurements of ancient prehistoric Native American pot shards discovered in a Hopi village are approximately normally
rusak2 [61]

Answer:

(a) The probability that the thickness is less than 3.0 mm is 0.119.

(b) The probability that the thickness is more than 7.0 mm is 0.119.

(c) The probability that the thickness is between 3.0 mm and 7.0 mm is 0.762.

Step-by-step explanation:

We are given that thickness measurements of ancient prehistoric Native American pot shards discovered in a Hopi village are approximately normally distributed, with a mean of 5.0 millimeters (mm) and a standard deviation of 1.7 mm.

Let X = <u><em>thickness measurements of ancient prehistoric Native American pot shards discovered in a Hopi village.</em></u>

So, X ~ Normal(\mu=5.0,\sigma^{2} =1.7^{2})

The z-score probability distribution for the normal distribution is given by;

                           Z  =  \frac{X-\mu}{\sigma}  ~ N(0,1)

where, \mu = population mean thickness = 5.0 mm

           \sigma = standard deviation = 1.7 mm

(a) The probability that the thickness is less than 3.0 mm is given by = P(X < 3.0 mm)

    P(X < 3.0 mm) = P( \frac{X-\mu}{\sigma} < \frac{3.0-5.0}{1.7} ) = P(Z < -1.18) = 1 - P(Z \leq 1.18)

                                                           = 1 - 0.8810 = <u>0.119</u>

The above probability is calculated by looking at the value of x = 1.18 in the z table which has an area of 0.881.

(b) The probability that the thickness is more than 7.0 mm is given by = P(X > 7.0 mm)

    P(X > 7.0 mm) = P( \frac{X-\mu}{\sigma} > \frac{7.0-5.0}{1.7} ) = P(Z > 1.18) = 1 - P(Z \leq 1.18)

                                                           = 1 - 0.8810 = <u>0.119</u>

The above probability is calculated by looking at the value of x = 1.18 in the z table which has an area of 0.881.

(c) The probability that the thickness is between 3.0 mm and 7.0 mm is given by = P(3.0 mm < X < 7.0 mm) = P(X < 7.0 mm) - P(X \leq 3.0 mm)

    P(X < 7.0 mm) = P( \frac{X-\mu}{\sigma} < \frac{7.0-5.0}{1.7} ) = P(Z < 1.18) = 0.881

    P(X \leq 3.0 mm) = P( \frac{X-\mu}{\sigma} \leq \frac{3.0-5.0}{1.7} ) = P(Z \leq -1.18) = 1 - P(Z < 1.18)

                                                           = 1 - 0.8810 = 0.119

The above probability is calculated by looking at the value of x = 1.18 in the z table which has an area of 0.881.

Therefore, P(3.0 mm < X < 7.0 mm) = 0.881 - 0.119 = 0.762.

4 0
3 years ago
Matt had 60 questions correct on a Percent's Chapter Test that had 150 one-mark questions.
WARRIOR [948]
60/150 = 40%

Hope this helps :D
7 0
3 years ago
A car is driving at 65 kilometers per hour. How far, in meters, does it travel in 4 seconds?
Mumz [18]

Answer:

72.2 m

Step-by-step explanation:

65 km/1 h = (65000 m / 3600s) = 18.05 m/s

Distance = speed * time = 18.05 m/s*4 s = 72.2 m

8 0
3 years ago
The drama club is showing a video of their recent play. The first showing begins at 2:30 p.m. The second showing is scheduled at
snow_tiger [21]
Your answer would be 2 hours and 25 minutes
3 0
3 years ago
3. Find the measure (in radians) of a central angle of a sector of area 16 in squared a circle of radius 3 inches.
stira [4]

Answer:

α = 3.5 rad

Step-by-step explanation:

α = 2*Area/r^2

α = 2*16 in^2/(3in)^2

α = 3.5555 radians

3 0
2 years ago
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