What is 2x - 1 = 3/4x + 9

A triangle has one angle that measures 23 degrees, one angle that measures 47 degrees, and one angle that measures 110 degrees.

blsea [12.9K]

Answer:

B) Scalene Triangle

Step-by-step explanation:

This must be a scalene triangle because:

If it were a right triangle, there would be a right angle so A is out

If it were an equilateral triangle, all 3 angles would be equal to each other so C is out

If it were an isosceles triangle, 2 angles would be equal to each other so D is out

A scalene triangle consists of angles that add up to 180 degrees, but none of them are equal to each other. Therefore B is right.

4 0

2 years ago

Read 2 more answers

A plant grows 10 cm each week. The plant is 60 cm now.how many weeks will it take to reach 1 meter

Whitepunk [10]

Answer:

4

Step-by-step explanation:

We know 100 centimeters = 1 meter.

We know the plant grows 10 cm in 1 week.

100 - 60 = 40.

40 cm remaining / 10 cm per week = 4 weeks.

4 0

3 years ago

What is the area of the figure?

mrs_skeptik [129]

We see that the shape is made up of 2 shapes:
trapezoid and triangle
(trapezoid is on top of upside down triangle)

area of trapezoid=(1/2)(b1+b2)(h)
area of traignel=(1/2)(b)(h)

area of trapezoid
b1=14
b2=18
h= ok so total height=17 and 12 is taken up by triangle os therefor h=17-12=5

A=(1/2)(14+18)(5)
A=(1/2)(32)(5)
A=(16)(5)
A=(80)

now area of triangle
H=12
B=18
A=(1/2)(18)(12)
A=(9)(12)
A=108

add
80+108=188

total area=188mm^2

5 0

2 years ago

-12 - 7k + 6k - 8+ k*

Lunna [17]

Answer:

-20

Step-by-step explanation:

Combine Like Terms:

=−12+−7k+6k+−8+k

=(−7k+6k+k)+(−12+−8)

=−20

8 0

2 years ago

The most recent public health statistics available indicate that 23.6% of American adults smoke cigarettes. Using the 68-95-99

artcher [175]

Answer:

There is a 68% chance that between 17% and 30% are smokers.

There is a 95% chance that between 10% and 37% are smokers.

There is a 99.7% chance that between 4% and 44% are smokers.

Step-by-step explanation:

According to the Central limit theorem, if from an unknown population large samples of sizes n > 30, are selected and the sample proportion for each sample is computed then the sampling distribution of sample proportion follows a Normal distribution.

The mean of the sampling distribution of sample proportion is:

$\mu_{\hat p}=p\\$

The standard deviation of the sampling distribution of sample proportion is:

$\sigma_{\hat p}=\sqrt{\frac{p(1-p)}{n}}$

Given:

n = 40

p = 0.236

Compute the mean and standard deviation of this sampling distribution of sample proportion as follows:

$\mu_{\hat p}=p=0.236$

$\sigma_{\hat p}=\sqrt{\frac{p(1-p)}{n}}=\sqrt{\frac{0.236(1-0.236)}{40}}=0.067$

The Empirical Rule states that in a normal distribution with mean µ and standard deviation σ, nearly all the data will fall within 3 standard deviations of the mean. The empirical rule can be divided into three parts:

68% data falls within 1 standard-deviation of the mean.

That is P (µ - σ ≤ X ≤ µ + σ) = 0.68.

95% data falls within 2 standard-deviations of the mean.

That is P (µ - 2σ ≤ X ≤ µ + 2σ) = 0.95.

99.7% data falls within 3 standard-deviations of the mean.

That is P (µ - 3σ ≤ X ≤ µ + 3σ) = 0.997.

Compute the range of values that has a probability of 68% as follows:

$P (\mu_{\hat p} - \sigma_{\hat p} \leq \hat p \leq \mu_{\hat p} + \sigma_{\hat p}) = 0.68\\P(0.236-0.067\leq \hat p \leq 0.236+0.067)=0.68\\P(0.169\leq \hat p \leq0.303)=0.68\\P(0.17\leq \hat p \leq0.30)=0.68$

Thus, there is a 68% chance that between 17% and 30% are smokers.

Compute the range of values that has a probability of 95% as follows:

$P (\mu_{\hat p} - 2\sigma_{\hat p} \leq \hat p \leq \mu_{\hat p} + 2\sigma_{\hat p}) = 0.95\\P(0.236-2\times 0.067\leq \hat p \leq 0.236+2\times0.067)=0.95\\P(0.102\leq \hat p \leq 0.370)=0.95\\P(0.10\leq \hat p \leq0.37)=0.95$

Thus, there is a 95% chance that between 10% and 37% are smokers.

Compute the range of values that has a probability of 99.7% as follows:

$P (\mu_{\hat p} - 3\sigma_{\hat p} \leq \hat p \leq \mu_{\hat p} + 3\sigma_{\hat p}) = 0.997\\P(0.236-3\times 0.067\leq \hat p \leq 0.236+3\times0.067)=0.997\\P(0.035\leq \hat p \leq 0.437)=0.997\\P(0.04\leq \hat p \leq0.44)=0.997$

Thus, there is a 99.7% chance that between 4% and 44% are smokers.

7 0

2 years ago