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UkoKoshka [18]
3 years ago
8

(05.02)

Mathematics
1 answer:
Damm [24]3 years ago
4 0

Answer:

40 Degrees

Step-by-step explanation:

A triangle has a total of 180 degrees therefore if you add up the angles and then subtract by 180 you would get 40 degrees.

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SAT verbal scores are normally distributed with a mean of 433 and a standard deviation of 90. Use the Empirical Rule to determin
laila [671]

34% of the scores lie between 433 and 523.

Solution:

Given data:

Mean (μ) = 433

Standard deviation (σ) = 90

<u>Empirical rule to determine the percent:</u>

(1) About 68% of all the values lie within 1 standard deviation of the mean.

(2) About 95% of all the values lie within 2 standard deviations of the mean.

(3) About 99.7% of all the values lie within 3 standard deviations of the mean.

$Z(X)=\frac{x-\mu}{\sigma}

$Z(433)=\frac{433-\ 433}{90}=0

$Z(523)=\frac{523-\ 433}{90}=1

Z lies between o and 1.

P(433 < x < 523) = P(0 < Z < 1)

μ = 433 and μ + σ = 433 + 90 = 523

Using empirical rule, about 68% of all the values lie within 1 standard deviation of the mean.

i. e. ((\mu-\sigma) \ \text{to} \ (\mu+\sigma))=68\%

Here μ to μ + σ = \frac{68\%}{2} =34\%

Hence 34% of the scores lie between 433 and 523.

8 0
3 years ago
How many solutions does this linear system have?<br> Y=-1/2x +4x+2y=-8
Vadim26 [7]

Answer: theres no solution

7 0
3 years ago
Dan invests £3400 into his bank account.
Temka [501]

Answer: £4597.82

Step-by-step explanation:

5 0
3 years ago
Porter is visiting India and would like to purchase some local spices. He finds some spices that cost 401.39 rupees. If the curr
Murljashka [212]

The cost of spices in US dollars is $5.45

The cost of spices in Indian rupees = 401.39 rupees

The exchange rate is

1 dollar:73.6500 rupees

So we have to exchange the Indian rupees to the US dollars

The cost of spices in Indian rupees = 401.39 rupees

The cost of spices in US dollars = The cost of spices in Indian rupees / 73.6500

Substitute the values in the equation and fins the cost of spices in US dollars

The cost of spices in US dollars = 401.39 / 73.6500

Divide the numbers

= $5.45

Hence, the cost of spices in US dollars is $5.45

Learn more about exchange rate here

brainly.com/question/6358327

#SPJ1

6 0
1 year ago
Please someone explain how to solve this piecewise function!!!! Im super confused
Xelga [282]

Answer:

From top to bottom:

0, 1, 2, -8, -8

Step-by-step explanation:

We are given the piecewise function:

g(x) = \left\{        \begin{array}{ll}            0.5x+1 & \text{if } x \leq 2 \\            -8 & \text{if } x > 2        \end{array}    \right.

Row 1:

We want to find g(-2).

Since -2 is less than (or equal to) 2, we will use the first equation. Thus:

g(-2)=0.5(-2)+1=-1+1=0

Row 2:

Likewise, 0 is less than or equal to 2. We will continue to use the first equation:

g(0)=0.5(0)+1=1

Row 3:

2 is not less than 2 but it is equal to 2. So we will continue to use the first equation:

g(2)=0.5(2)+1=1+1=2

Row 4 and 5:

Both 4 and 6 are greater than 2. Thus, we will use the second equation. Therefore:

g(4)=-8\text{ and } g(6)=-8

7 0
3 years ago
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