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2 years ago

When Miguel does 16 push-ups and 12 sit-ups, it takes a total of 72

Mathematics

2 answers:

antoniya [11.8K]2 years ago

8 0

Answer:

4.5 or 5.2

approximately 5

Step-by-step explanation:

$since \: it \: took \: \\ 72 \: seconds \: to \: do \: 16 \: push \: ups \\ 72 \div 16 = 4.5 \: approximately \: \\ = 5 \: seconds\: per \: push \: up \\ 2nd \: comparison \: \\ 57 ÷ 11 = \\ 5.8111111 \\ = 5.2(to \: 1 \: decimal) \\ approximately \: \\ 5 \\ \: so \: it \: takes \: 5 \: seconds$

Mars2501 [29]2 years ago

5 0

Answer:

about 3 seconds

Step-by-step explanation:

hope this helps

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Help me find answer to this

Debora [2.8K]

Answer:

$\angle B=41.81^\circ$

Step-by-step explanation:

Trigonometric Ratios

The ratios of the sides of a right triangle are called trigonometric ratios.

The longest side of the triangle is called the hypotenuse and the other two sides are the legs.

The sine ratio relates the opposite side of an angle of the triangle with the hypotenuse:

$\displaystyle \sin B=\frac{\text{opposite leg}}{\text{hypotenuse}}$

Here, the opposite leg to angle B is the side CA=2, and the hypotenuse is the side AB=3, thus:

$\displaystyle \sin \angle B=\frac{2}{3}=0.667$

Calculating the inverse sine function:

$\angle B=\arcsin (0.667)$

$\boxed{\angle B=41.81^\circ}$

5 0

3 years ago

Use Laplace transform methods to solve the differential equation: The initial conditions are f(0) = 0 and <img src="https://tex.

Llana [10]

Answer:

Step-by-step explanation:

$\frac{d^2 y}{dt^2} +12\frac{dy}{dt} +32y = 10e^{-2t}$ where f(x) is replaced by y

Take Laplace on both sides

$s^2 Y -s(0)-0 +12s Y-0+32Y = \frac{10}{s+2} \\Y(s^2+12s+32) = \frac{10}{s+2}\\Y = \frac{10}{(s+2)(s+4)(s+8)}$

We can resolve into partial fraction to get Y = L(y)

Let this equals

$\frac{A}{s+2} +\frac{B}{s+4} +\frac{C}{s+8} \\10 = A(s+4)(s+8) + B(s+2)(s+8) +Cs+4)(s+2) \\$

Solving we get

s=-9

24C = 10 or C =5/12

s=-2: A=10/12=5/6

s=-4: B = -5/4

Taking inverse Laplace

$y(t) = \frac{-5e^{-4t} }{4} + \frac{5e^{-8t} }{12} +\frac{-5e^{-2t} }{6}$

6 0

3 years ago

A bakery owner asked 150 customers to taste a new type of cookie and found that 60 people liked it's taste.

FrozenT [24]

Answer:

yes

Step-by-step explanation:

Here is the complete question :

A bakery owner asked 150 customers to taste a new type of cookie and found that 60 people liked its taste. 40% of the surveyed customers like the taste of the cookie. Is it an example of descriptive statistics?

Descriptive statistics are used to summarise the features or characteristics of a data or sample. It provides information on the features of sample collected.

Types of descriptive statistics

1. Measures of central tendency :

They include mean, median and mode

Mode refers to a value that appears most frequently in a data set.

Median can be described as the number that occurs in the middle of a set of numbers that are arranged either in ascending or descending order

Mean is the average of a set of numbers. It is determined by adding the numbers together and dividing it by the total number

Mean = sum of the numbers / total number

2. Measures of variation : It includes range, standard deviation and variance

3. Measure of position ; percentile and quartiles

4. Measure of frequency : count, percentage

5 0

3 years ago

The sampling distribution of the proportion follows the normal distribution when the values np and nq are greater than or equal

Keith_Richards [23]

I dont know. So i am sorry ask someone alse. Thanks

8 0

4 years ago

Find the product. (y - 2bs^2) (y + 3bs^2) Enter the correct answer.

Vikentia [17]

Answer:

y² + bs²y - 6b²s⁴

General Formulas and Concepts:

Expand by FOIL (First Outside Inside Last)
Exponent Power Rule: $(b^m)^n=b^{mn}$

Step-by-step explanation:

Step 1: Define expression

(y - 2bs²)(y + 3bs²)

Step 2: FOIL

First: y · y = y²
Outside: y · 3bs² = 3bs²y
Inside: -2bs² · y = -2bs²y
Last: -2bs² · 3bs² = -6b²s⁴

Step 3: Simplify

Combine: y² + 3bs²y - 2bs²y - 6b²s⁴
Combine like terms: y² + bs²y - 6b²s⁴

7 0

3 years ago