Find the perimeter of the rectangle.
5 in.
9 in.

Answer:

a) 0.0228

b) 94.6

Step-by-step explanation:

The formula for calculating a z-score when you are given a random.number of samples is z = (x-μ)/σ/√n

where x is the raw score

μ is the population mean

σ is the population standard deviation

n = random number of samples

Given a normal distribution with u = 75 and o = 40, if you select a sample of n = 16,

a) what is the probability that the sample mean is above 95? (4 d.p.) b)

= x = 95

Hence:

z = 95 - 75/40/√16

= 20/40/4

= 20/10

= 2

Probability value from Z-Table:

P(x<95) = 0.97725

P(x>95) = 1 - P(x<95) = 0.02275

The probability that the sample mean is above 95 to 4 decimal places = 0.0228

b) What is the value, of which there is 97.5% chance that a sample mean is less than that value?

97.5% chance = z score for the confidence interval = 1.96

Hence:

z = (x-μ)/σ/√n

1.96 = x - 75/40/√16

1.96 = x - 75/ 40/4

1.96 = x - 75/10

Cross Multiply

1.96 × 10 = x - 75

19.6 = x - 75

x = 19.6 + 75

x = 94.6

The value, of which there is 97.5% chance that a sample mean is less than that value is 94.6

Answer:You should check the proposed solution in the original equation.

Step-by-step explanation:

The radical is the symbol that is used to represent the root in the expression n√x. The correct option is C.

The radical is the symbol that is used to represent the root in the expression n√x.

You have solved a radical equation. Now, to check whether your proposed solution is​ correct You should check the proposed solution in the original equation.

Hence, the correct option is C.

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Answer:

The slope is -1/5

Step-by-step explanation:

y = mx +b is in slope intercept form

m is the slope and b is the y intercept

y = -1/5x -1

The slope is -1/5 and the y intercept is -1

Answer:

Step-by-step explanation:

The slope is -1/5

Answer:

tbh i don't kno either lol

Step-by-step explanation:

hehehe

Answer:

B. Identity Property

Answer:

I think it is b

Step-by-step explanation:

The distance when the weight is 2 kg will be 12 cm. Then the correct option is B.

The spring force is directly proportional to the deflection of the spring. Let 'x' be the deflection of the spring due to force 'F'. Then the spring force is given as,

F ∝ -x

F = - kx

mg = - kx

The distance D that a spring is stretched by a hanging object varies directly as the weight W of the object. if a 9-kg object stretches a spring 54cm. Then the spring force is calculated as,

9g= - k (54)

- g / 6 = k

Then the equation is given as,

F = (g / 6) x

The distance when the weight is 2 kg will be given as,

2g = (g / 6) x

12 = x

The distance when the weight is 2 kg will be 12 cm. Then the correct option is B.

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Answer:

7

Step-by-step explanation:

I hope this helps!

Answer:

1

Step-by-step explanation:

Answer:

1

Step-by-step explanation:

z + 5 = 6

collecting Like Terms

(Alphabet On the Left hand , Numbers on the Right hand)

z = 6 - 5

while A Poaitive number Crosses Equality Sign it Chnages Sign

z = 1

Answer:

35

Step-by-step explanation:

Answer: 45 minutes.

Step-by-step explanation:

First, divide. 30 divided by 6 is 5.

Then, multiply 5 and 9. That equals 45 so 45 is your answer.

It takes 45 minutes to make the 9 keychains.

Given that, Hugo sells handmade key chains online yesterday he made 6 keychains in 30 minutes.

Proportion, in general, is referred to as a part, share, or number considered in comparative relation to a whole. Proportion definition says that when two ratios are equivalent, they are in proportion. It is an equation or statement used to depict that two ratios or fractions are equal.

Let the time taken to make 9 keychains be x.

Now, 6:30::9:x

⇒ 6×x=30×9

⇒ 6x=270

⇒ x=45 minutes

Therefore, it takes 45 minutes to make the 9 keychains.

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Answer:

its 3.45 x 10^5

Step-by-step explanation:

The solution of the given expression will be 3.84 x 10⁻².

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given that the expression is 3.99 x 10⁻² - 1.5 x 10⁻³. The expression will be solved as below:-

E = 3.99 x 10⁻² - 1.5 x 10⁻³

E = ( 3.99 x 0.15 ) x 10⁻²

E = 3.85 x 10⁻²

Therefore, the solution of the expression is 10⁻².

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Answer:

3/5

Step-by-step explanation:

when you multiply powers by a zero it = 0 so you would just end up with 3/5

Answer:

Multiply By Decimal

Step-by-step explanation:

If you multiply a number by a decimal you get the same outcome that you would if you would have divided it

Answer:

5

Step-by-step explanation:

Answer:

£80.62

Step-by-step explanation:

100+12%=112%

112/100= 1.12

1.12*£72 =£80.62

Answer:

yes

no

Step-by-step explanation:

i hope im correct please give me brainliest and some feedback if im correct or not :)

The coordinates of point R are (-8, 7)

Answer: -2÷3

Step-by-step explanation:

-(2÷3) = -2÷3

Answer:

Because if you multiply 6 three times, it comes out to be 18.

So basically, 6 x 3 = 18

To be sure, 18 ÷ 6 = 3

So, 18:3 = 6:1

18:3 and 6:1 are equivalent ratios because those are equivalent fractions.

Suppose that we've got two quantities with measurements as 'a' and 'b'

Then, their ratio(ratio of a to b) a:b

or   [tex]\dfrac{a}{b}[/tex]

We usually cancel out the common factors from both the numerator and the denominator of the fraction we obtained. Numerator is the upper quantity in the fraction and denominator is the lower quantity in the fraction).

Suppose that we've got a = 6, and b= 4, then:

[tex]a:b = 6:2 = \dfrac{6}{2} = \dfrac{2 \times 3}{2 \times 1} = \dfrac{3}{1} = 3\\or\\a : b = 3 : 1 = 3/1 = 3[/tex]

Remember that the ratio should always be taken of quantities with same unit of measurement. Also, ratio is a unitless(no units) quantity.

Explanation;

If we get the factors of the first ratio, we will see that;

18: 6 and 3, and 18 and 1

3: 3 and 1

Hence, if we display the ratios in fractions;

18/3 = 6/1

And then we write them in factors, we will get;

3x6/3x1 = 6/1

Simplifying;

3/3 x 6/1 = 2/1 x 3/1 = 1/6

Therefore, 18:3 and 6:1 are equivalent ratios.

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Answer:

c. 2x + 3 = 1/2(4x+2)+2

Step-by-step explanation:

Hope this helpss!!

Answer:

2x + 3 = 1/2(4x+2)+2

Step-by-step explanation: on edge

Answer:

what am i supposed to be rounding to

Step-by-step explanation:

if i was rounding to the tenths it would be 42.8

Answer:

36z+28+8z+40+12z+60+48+16z=

36z+8z+12z+16z+28+40+60+48=

72z+176

Step-by-step explanation:

Answer:

Step-by-step explanation:

you want a line with slope = -1/2

So, using the point-slope form of the line,

y-7 = -1/2 (x+4)

y = -1/2 x + 5

Hard to tell what your choices are ...

Answer:they are both neagtive numbers.

Step-by-step explanation:

they say it right in front of you.

Answer:

itz 5

Step-by-step explanation:

i took quiz

Answer:

180 boxes

Step-by-step explanation:

The rate of change is 10 boxes per hour, so if you multiply 10 times 18 you will get 180 which is the answer.