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→ √20 + √45

→ 2√5 + 3√5

→ (2 + 3)√5

→ 5√5

Therefore, option A is correct.

Answer:

we reject H0 and conclude that management's belief about variance is untrue.

Step-by-step explanation:

H0 : σ² = 250

H1 : σ² ≠ 250

Sample size, n = 25

xbar = 50.6 ; s² = 500

α = 0.01 ;

The test statistic :

χ² = [(n - 1)s²] ÷ σ²

χ² = [(25 - 1)* 500] ÷ 250

χ² = (24 * 500) / 250

χ² = 12000 / 250

χ² = 48

The critical value:

df = n-1 ; 25 - 1 = 24

χ²(0.01/2 ; 24) = 45.559

Decison :

Reject H0 : if |χ² statistic| > critical value

Since 48 > 45.559

Hemce, we reject H0 and conclude that management's belief about variance is untrue.

Answer:

last option is correct:  bc^5(5abc^6 + 2)

Step-by-step explanation:

So sin in math means:

In a right angled triangle, the sine of an angle is: The length of the side opposite the angle divided by the length of the hypotenuse. The abbreviation is sin.

Con in math means:

In a right angled triangle, the cosine of an angle is: The length of the adjacent side divided by the length of the hypotenuse. The abbreviation is cos. cos(θ) = adjacent / hypotenuse.

in this case it has to be a sin. So its either A, or B.

ii think a tho

Answer:

(a)

Step-by-step explanation:

Sin (37) = x/10.3

using trigonometric identity (Sin θ = AC/AB)

Answer:

x=123456789101112131415

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer: [tex]103,108[/tex]

Step-by-step explanation:

Given

There are total of 211 coins

The worth of the coins is [tex]\$37.30[/tex]

Suppose there are x dimes and y quarters

A dime is equivalent to 10 cents and quarter is equivalent to 25 cents

[tex]\therefore x+y=211\quad \ldots(i)\\\Rightarrow 0.1x+0.25y=37.30\\\Rightarrow x+2.5y=373\quad \ldots(ii)[/tex]

Solving (i) and (ii) we get

[tex]x=103,y=108[/tex]

Therefore, student collects 103 dimes and 108 quarters.

Answer:

The answer is B

Step-by-step explanation:

The table is a partial representation of a larger data set. It can be used to generate an equation that is a complete representation of the data set.

Answer:

Step-by-step explanation:

Answer:

Original value of investment = £500 (Approx.)

Step-by-step explanation:

Given:

Rate per year = 4%

Number of year = 3 years

Value of investment after 3 year = £562.43

Find:

Original value of investment

Computation:

A = P[1+r]ⁿ

562.43 = P[1+4%]³

562.43 = P[1+0.04]³

562.43 = P[1.04]³

562.43 = P[1.1248]

Original value of investment = 562.43 / 1.1248

Original value of investment = 500.026

Original value of investment = £500 (Approx.)

Answer:

equilateral acute

hope this helps

have a good day :)

Step-by-step explanation:

Answer:

C. Equilateral acute

Step-by-step explanation:

The triangle is less than 90 degrees so it's an acute

The range of the given numbers in the data set is 29.

Range is the difference between the highest and lowest values of a set of observations.Range is a measure of variation.

Range = highest value - lowest value

68 - 39 = 29

To learn more about range, please check: https://brainly.com/question/12372689

Answer: y=7

Step-by-step explanation:

Using the formula: (y - y1) = 0 (x - x1)

Substitute x1 with -2, and y1 with 7 and set the slope as 0.

Y-7=0(x-(-2))

Y - 7 = 0 (x + 2)

Anything times 0 = 0, so cancel out the -2.

Y-7=0

Add the 7 to the 0.

Y = 7

Answer:

0.36582

Step-by-step explanation:

(a×b)

= (1.34×0.273)

= 0.36582

Answer:

6

Step-by-step explanation:

7.5-1.5

=6

that is easy

Answer:

24. f'(2)=4

27. f'(2)=√2/4

Step-by-step explanation:

Sorry if I'm wrong

Answer:              

$35,350 with an increase of $400 a year

Given statement solution is :-  If there are 52 students ahead of Howard when he gets in the lunch line, he should expect it to take approximately 53 minutes before he sits down to eat.

According to the equation of the line given as "m = S + 1," where m represents the number of minutes elapsed and s represents the number of students ahead of Howard in the lunch line, we can substitute the value of s as 52 to find the expected number of minutes.

m = S + 1

m = 52 + 1

m = 53

Therefore, if there are 52 students ahead of Howard when he gets in the lunch line, he should expect it to take approximately 53 minutes before he sits down to eat.

For such more questions on Line Wait Time

https://brainly.com/question/31658921

#SPJ8

Answer:

It's the first graph

Step-by-step explanation:

Answer:

4,800

Step-by-step explanation:

(14,700- 1,500) / 2 h 45 m

= 13,200 / 2.75

= 4,800 L/h

Time in minutes between 2 30 and 5 15 = 165 minutes= 2.75 hrs

raise in water level = 14700-1500= 13200

the average rate of increased in volume of water, giving your answer in L/h = 13200/2.75 = 4800 L/h

Answer:

48 flowers

Step-by-step explanation:

Since, the ratio of tulips to daisies are the same.

Hence, if we have x number of daisies, then the number of tulips will also be x.

Therefore, with number of tulips being 21 and equal ratio of daisies will also mean that Anna has 21 daisies .

The total number of flowers will be :

Number of tulips + Number of daisies

21 + 21 = 42 flowers

Answer:

4 there all adding by 13 so do 13-9 to get 4

Answer: 22

Step-by-step explanation: The answer is 22 because all you have to do it keep adding 13 to the number like.

9 + 13 = 22

22 + 13 = 35

35 + 13 = 48

48 + 13 = 61

etc

Answer:

x=4

Step-by-step explanation:

4x+7=23

4x=23-7

4x=16

x=16÷4

x=4

Answer:

4

Step-by-step explanation:

4 x 4 + 7 = 23

Answer:

42.50

Step-by-step explanation:

50 x.15 =7.50 discount

50 (original price)-7.50 (discount)=42.50 (sales price)

Answer:

Actual answer:

4^4 = 16

16 x 3.14 = 50.24

50.24 x 1(height) = 50.24

Rounded to the nearest Tenth:

50.24 rounded = 50.2

Answer:

11.25

Step-by-step explanation:

Answer:

Step-by-step explanation:

here you go.

Answer:

3.25"

Step-by-step explanation:

If the scale is 1/8, then the model or drawing has lengths which are 1/8 of the objects lengths.

Find 1/8 of 26.

[tex]26 \times \frac{1}{8} = \frac{26}{8}= 3.25[/tex]

Answer:

[tex]t \le 6[/tex] min

Step-by-step explanation:

The time to do 25 problems should take less than (or equal to) the 150 minutes available.

[tex]25t \le 150\\t \le 6[/tex]