Use a protractor to find the angle measure

An isosceles triangle has an angle that measures 120°. Which other angles could be in that isosceles triangle? Choose all that a

irinina [24]

Answer:

30.

Step-by-step explanation:

The 120 degree has to be the vertex angle.

The other 2 angles in the triangle will be congruent as the triangle is isosceles.

These 2 are both = (180-120) / 2

= 60/2

= 30 degrees.

8 0

3 years ago

If a ship has sufficient food to supply 600 passenger for 3 weeks how long would the food last for 800 passengers?

Julli [10]

In the given problem the trick lies in the fact that the time upto which the food supply would last for 600 passengers is given in weeks and that is 3 weeks. First thing to do is convert the 3 weeks to number of days. Then it would be easy to find the number of days the same food supply would last if the number of passengers increases to 800.
Then
3 week = 21 days
Now
For 600 passengers in the ship the food supply will last for = 21 days
then
For 800 passengers in the ship the food supply will last for = (21/800) * 600
= (21/8) * 6
= 15.75 days
So the food supply for 800 passengers would last for 15.75 days

3 0

3 years ago

How do I graph these

Anit [1.1K]

7: Vertical Asymptote: x = 1

x / y
2 -2
3 -1.5
5 -1

8: Vertical Asymptote: x = -6

x / y
-5 2
-3 3
3 4

9:
Vertical Asymptote: x = -4

x / y
-3 0
-2 1
0 2

10:
Vertical Asymptote: x=4/3

x / y

3 -3.301
4 -3.097
5 -2.959

11:
Vertical Asymptote: x = 1/2

x / y

2 -2.415
3 -1.678
4 -1.193

12:
Vertical Asymptote: x=2

x / y
3 2
4 3
6 4

6 0

3 years ago

) The National Assessment of Educational Progress (NAEP) gave a test of basic arithmetic and the ability to apply it in everyday

Vsevolod [243]

Answer:

a) The standard deviation of this sampling distribution is 2.07.

b) The missing number is 4.14.

c) The 95% confidence interval for the population mean score μ based on this one sample is between 267.86 and 276.14.

Step-by-step explanation:

To solve this question, we need to understand the Empirical Rule and the Central Limit Theorem.

Empirical Rule:

The Empirical Rule states that, for a normally distributed random variable:

68% of the measures are within 1 standard deviation of the mean.

95% of the measures are within 2 standard deviation of the mean.

99.7% of the measures are within 3 standard deviations of the mean.

Central Limit Theorem:

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean $\mu$ and standard deviation $\sigma$ , the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean $\mu$ and standard deviation $s = \frac{\sigma}{\sqrt{n}}$ .

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

In this question:

$\mu = 272, n = 840, \sigma = 60$

(a) If we take many samples, the sample mean x⎯⎯⎯ varies from sample to sample according to a Normal distribution with mean equal to the unknown mean score μ in the population. What is the standard deviation of this sampling distribution?

Using the Central Limit Theorem:

$s = \frac{\sigma}{\sqrt{n}} = \frac{60}{\sqrt{840}} = 2.07$

The standard deviation of this sampling distribution is 2.07.

(b) According to the 95 part of the 68-95-99.7 rule, 95% of all values of x⎯⎯⎯ fall within _______ on either side of the unknown mean μ. What is the missing number?

Within 2 standard deviations of the mean.

So, 2*2.07 = 4.14

The missing number is 4.14.

(c) What is the 95% confidence interval for the population mean score μ based on this one sample?

Within 4.14 of the mean

272 - 4.14 = 267.86

272 + 4.14 = 276.14

The 95% confidence interval for the population mean score μ based on this one sample is between 267.86 and 276.14.

6 0

3 years ago

Translate sentence into an equation.

Setler [38]

Answer:

20 - 3n = 6 +n

Step-by-step explanation:

20 - 3n = 6 + n

Step 1: Subtract n on both sides; 20 - 4n = 6

Step 2: Subtract 20 on both sides; -4n = 14

Step 3: Divide -4 on both sides; 14/-4

Step 4: Simplify 14/-4, two can go into both 14 and -4

Solution: n= -7/2

4 0

3 years ago