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3 years ago

Anyone know this mathswatch fraction question ???

Mathematics

2 answers:

Lynna [10]3 years ago

8 0

Answer:

$a)= 5 \frac{9}{14} \\ \\ b) = 7 \frac{1}{2} \\$

Step-by-step explanation:

$a)4 \frac{1}{7} + 1 \frac{1}{2} \\ \frac{29}{7} + \frac{3}{2} \\ \frac{58 + 21}{14} \\ = \frac{79}{14} \\ = 5 \frac{9}{14}$

$b)4 \frac{1}{2} \div \frac{3}{5} \\ \frac{9}{2} \div \frac{3}{5} \\ \frac{9}{2} \times \frac{5}{3} \\ = \frac{45}{6} \\ = 7 \frac{3}{6} \\ = 7 \frac{1}{2}$

Sophie [7]3 years ago

3 0

Answer:

5 9/14

7 1/2

Step-by-step explanation:

a) 4 1/7 + 1 1/2= 4+ 1/7 +1 +1/2 = 5 + 1/7 +1/2 = 5+ 2/14 + 7/14= 5 + 9/14= 5 9/14

b) 4 1/2 ÷ 3/5 = 9/2 ÷ 3/5 = 9/2 *5/3= 3/2*5= 15/2= 7 1/2

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Professor Doom has applied to the town planning board to build a Villain's Lair in a suburban neighborhood. The local residents

tester [92]

Answer:

Check explanation below.

Step-by-step explanation:

Hello!

The objective of this experiment is to test if doctor Doom is controlling the neighbors' minds from his new Lair. To test this a random sample of 11 neighbors was taken and a "free will" test was administrated before the Villain's Lair was constructed and again after it was finished.

This experiment type where you have a single sample and the variable is measured "before" and "after" applying a treatment (in this case, that doctor Doom has moved into town) is a classic example of a paired sample test. You have two dependent variables, X₁: "Results of the free will test before Dr. Doom Lair is constructed" and X₂: "Results of the free will test after Dr. Doom Lair is constructed", with these variables you can establish a new variable, Xd, that I'll define as " X₁- X₂", and the objective of my hypothesis test will be to know if there is any change after the Lair is done, if there is, in fact, a change then the population mean of the difference will be nonzero, symbolically: μd ≠ 0

Using the data I've calculated the summary measures for Xd:

sample mean: Xd[bar]= 3.18

sample standard deviation: Sd= 5.44

The statistic hypothesis is:

H₀: μd = 0

H₁: μd ≠ 0

α: 0.05

(There is no signification level specified, so I've chosen the most common one)

Assuming that the variable difference, Xd, has a normal distribution, and with unknown population variance, the best statistic to use is the Students-t for paired samples:

t= Xd[bar] - μd ~t $_{n-1}$

Sd/√n

This test is two-tailed, so you will reject at low values of the statistic or at high values of it.

$t_{n-1;\alpha/2 } = t_{10; 0.025} = -2.228$

$t_{n-1; 1-\alpha /2} = t_{10; 0.975} = 2.228$

If t ≤ -2.228 or t ≥ 2.228 then you reject the null hypothesis.

If -2.228 < t < 2.228 then you don't reject the null hypothesis.

t= Xd[bar] - μd = 3.18 - 0 = 1.94

Sd/√n 5.44/√11

Since the statistic value t= 1.94 then the decision is to not reject the null hypothesis.

So, with a significance level of 5% there is not enough evidence to reject the null hypothesis, this means that the population mean of the difference on the free will test results of the neighbors before and after the Villain's Lair was constructed is equal to cero. In other words, there is not enough evidence to conclude that Dr. Doom is controlling the neighbor's minds.

I hope it helps!

3 0

3 years ago

4.55 rounded to the nearest hundredth

mylen [45]

Answer:

its still 4.55

Step-by-step explanation:

I dont understand

7 0

3 years ago

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Which expression is equivalent to (4x^4/2x^3)^3? A) 2x B) 8x C) 8x^3 D) 16x^21

allsm [11]

Answer:

None are you sure you have the right expressions.

Step-by-step explanation:

(4x^4/2x^3)^3=(2x^4*x^3)^3=(2x^7)^3=8x^21

5 0

3 years ago

A rain gutter is to be constructed of aluminum sheets 12 inches wide. After marking off a length of 4 inches from each edge, thi

weqwewe [10]

We are already given with the function to solve for the area:
A(θ) = 16 sin θ ⋅ (cos θ + 1)

We simply have to substitute the value of the angle into the function. So,
If θ = 90°,
A(90°) = 16 sin (90°) ( cos (90°) + 1 )

Using the calculator or the definition of trigonometric functions at angle of 90°, we get the value of the area:
A(90°) = 16 square inches

4 0

3 years ago

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The sum of Two consecutive integers is 57. If x is the first integer, write and solve an equation to determine both numbers what

NikAS [45]

Because these are two consecutive numbers and the first integer is x, the second integer must be x+1 (it could be x-1 too, but here I'm going to solve the problem with x+1).

The sum of the two integers is 57, so we have:
x+ (x+1)= 57
⇒ (x+ x)+ 1= 57 (associative property)
⇒ 2x+ 1= 57
⇒ 2x= 57-1
⇒ 2x= 56
⇒ x= 56/2
⇒ x= 28

Since x= 28, the first integer is 28, and the second integer is:
x+1= 28+1= 29

The two numbers are 28 and 29.

Hope it helps.

5 0

3 years ago

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