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2 years ago

Why do banks charge fees?

Mathematics

1 answer:

Ivahew [28]2 years ago

3 0

They charge fees so they can cover there costs and return value to shareholders

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For a standardized psychology examination intended for psychology majors, the historical data show that scores have a mean of 52

Ludmilka [50]

Answer:

the probability that a sample of the 35 exams will have a mean score of 518 or more is 0.934 or 93.4%.

Step-by-step explanation:

This is s z-test because we have been given a sample that is large (greater than 30) and also a standard deviation. The z-test compares sample results and normal distributions. Therefore, the z-statistic is:

(520 - 518) / (180/√35)

= 0.0657

Therefore, the probability is:

P(X ≥ 0.0657) = 1 - P(X < 0.0657)

where

X is the value to be standardised

Thus,

P(X ≥ 0.0657) = 1 - (520 - 518) / (180/√35)

= 1 - 0.0657

= 0.934

Therefore, the probability that a sample of the 35 exams will have a mean score of 518 or more is 0.934 or 93.4%.

3 0

1 year ago

Write a paragraph that has an inverted triangle shape. The topic sentence should be, “Trees are helpful.” Include at least three

yaroslaw [1]

Why trees are helpful........................................
..................................................................
............................................................
.....................................................
..............................................
..................................
Very easy just state facts about trees in a format like this. Google why trees are helpful and some facts should pop up. A good paragraph should have at least five (5) good strong sentences.

4 0

1 year ago

Read 2 more answers

How many bands uniforms can be made with 131 3/4 yards of fabric if each uniform requires 3 7/8

mafiozo [28]

131 3/4 divided by 37/8.

527/4 divided by 31/8.

527/4 divided by 8/31.

1054/31.

34.

3 0

1 year ago

Ms. Lindsey surveyed a random sample of students at her school to determine how they got to school. The results are shown below:

Eva8 [605]

20 I think because 8+12

7 0

1 year ago

In equilateral ∆ABC with side a, the perpendicular to side AB at point B intersects extension of median AM in point P. What is t

Sergeeva-Olga [200]

Answer:

Perimeter = (2 + √3)·a

Step-by-step explanation:

Given: ΔABC is equilateral and AB = a

The diagram is given below :

AM is a median , PB ⊥ AB , PM = b

Now, by using properties of equilateral triangle, median is perpendicular bisector and each angle is of 60°.

We get, ∠AMB = 90°. So, by linear pair ∠AMB + ∠PMB = 180° ⇒ ∠PMB = 90°. Also, ∠ABC = 60° and ∠ABP = 90° (given) So, ∠PBM = 30°

Since, AM is perpendicular bisector of BC. So,

$MB = \frac{a}{2}$

Now in ΔAMB , By using Pythagoras theorem

$AB^{2}=AM^{2}+MB^{2}\\AM^{2}=AB^{2}-MB^{2}\\AM^{2}=a^{2}-(\frac{a}{2})^{2}\\AM=\frac{\sqrt{3}\cdot a}{2}$

Now, in ΔBMP :

$sin\thinspace 30^{o}=\frac{\text{Perpendicular}}{\text{Hypotenuse}}\\\\sin\thinspace 30^{o}=\frac{\text{MB}}{\text{PB}}\\\\PB=\frac{\text{MB}}{\text{sin 30}}\\\\PB=\frac{\frac{a}{2}}{\frac{1}{2}}\implies PB = a\\\\tan\thinspace 30^{o}=\frac{\text{Perpendicular}}{\text{Base}}\\\\tan\thinspace 30^{o}=\frac{\text{MB}}{\text{PM}}\\\\PM=\frac{\text{MB}}{\text{tan 30}}\\\\PM=\frac{\frac{a}{2}}{\frac{1}{\sqrt3}}\implies PM=b= \frac{\sqrt{3}\cdot a}{2}$

Perimeter of ABM = AB + PB + PM + AM

$\text{Perimeter = }a+a+b+ \frac{\sqrt{3}\cdot a}{2}\\\\=2\cdot a + \frac{\sqrt{3}\cdot a}{2} +\frac{\sqrt{3}\cdot a}{2}\\\\=2\cdot a +\sqrt{3}\cdot a\\\\=(2+\sqrt3})\cdot a$

Hence, Perimeter of ΔABP = (2 + √3)·a units

3 0

1 year ago