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3 years ago

Solve the equation: x+33=40

Mathematics

1 answer:

11Alexandr11 [23.1K]3 years ago

6 0

The answer would be 7. Another way to think of it is subtract 40-33. That gets you 7.

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Help me out.....please

umka21 [38]

Answer:

2.5

Step-by-step explanation:

the radius is half of a diameter so

radius = 5/2 = 2.5 inches

3 0

3 years ago

Read 2 more answers

Various problems with data collection can cause some observations to be missing. Suppose a data set has 20 cases. Here are the v

mr Goodwill [35]

Answer:

a) Mean= 15, standard deviation= 5.1575

b) Mean= 15, standard deviation= 3.6469

c) See below

Step-by-step explanation:

(a) Compute the mean and standard deviation for the 10 cases for which x is not missing.

The mean using the ten known values is

$\bar x=\frac{17+6+12+14+20+23+9+12+16+21}{10}=15$

The standard deviation is

$\small s=\sqrt{\frac{(17-15)^2+(6-15)^2+(12-15)^2+(14-15)^2+(20-15)^2+(23-15)^2+(9-15)^2+(12-15)^2+(16-15)^2+(21-15)^2}{10}}=5.1575$

(b) Create a new data set with 20 cases by using imputation where you set the values for the 10 missing cases equal to the mean that you computed in the previous part. Compute the mean and standard deviation for this new data set with 20 cases.

The new data set would be

17, 6, 12, 14, 20, 23, 9, 12, 16, 21, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15

The new mean for this set of values would be then

$\bar x=\frac{\displaystyle\sum_{i=1}^{20}x_i}{20}=15$

The new standard deviation is now

$s=\sqrt{\frac{\displaystyle\sum_{i=1}^{20}(x_i-\bar x)^2}{20}}=3.6469$

(c) Summarize what you have learned about the possible effects of this type of imputation on the mean and the standard deviation.

Obviously, this way of imputation is somewhat arbitrary and will produce a set of data undoubtedly skewed.

It could possibly be a sensible way of imputing data if the amount of missing data is very little compared to the whole set, for example one or two data in a set of 100, but in this case we have 50% of missing data and it makes no sense this procedure.

4 0

3 years ago

Michaela has three times as many folders as Alejandro. Michaela gives Alejandro 5 folders, but still has 8 more than Alejandro.

Delvig [45]

Answer:

there were 22 folders originally

6 0

3 years ago

An online retailer is offering a 30% savings on your total order. You decide to purchase a pair of pants for $82, two shirts for

Natali [406]

Answer:

$233.39

Step-by-step explanation:

Pants = $82, 2 Shirts = $53 * 2, Shoes = $120

Add all these values up to find the total cost of your order excluding tax.

82 + 53(2) + 120 = 308

Next find the price w/ tax. Multiply 308 by 8.25%, or 0.0825.

308 * 0.0825 = 25.41

Now you add the tax to the total value.

308 + 25.41 = 333.41

The total value including tax is $333.41. The online retailer is offering a 30% savings (discount), so multiply the total price including tax by 30% (0.30).

333.41 * 0.30 = 100.023

Now you subtract the discount from the total price.

333.41 - 100.023 = 233.38700

The question say the answer rounded to the nearest cent or hundredths, so your final answer is 233.39.

The final price of the clothing including all discounts and taxes is $233.39.

7 0

3 years ago

Prove that the sides opposite the congruent base angles of a triangle are congruent. Be sure to create and name the appropriate

lakkis [162]

Answer:

See explanation

Step-by-step explanation:

Start by dividing the isosceles triangle in half along the upper vertex angle (not the congruent base angles). This creates two right triangles. Since you divide the triangle in half along an angle, they both have an equal base angle, and they share a side, they are congruent by ASA. Since the corresponding sides of congruent triangles are equal, the sides opposite the congruent base angles of a triangle must be congruent.

Hope this helps!

8 0

3 years ago