It took Freddy 1/2 hr to paint 1/5 of a fence. How long in minutes will it take him to paint the whole fence?

A group of friends were working on a student film. They spent $476 on equipment, which was 85% of their total budget. What was t

xenn [34]

By by by the answer is 560

3 0

2 years ago

the dimensions of a square are altered so that 8 inches is added to one side while 3 inches is subtracted from the other. The ar

Mashutka [201]

Let
x--------> original length side of a square

we know that
area rectangle=length*width
area=126 in²
length=(x+8)
width=(x-3)
so
126=(x+8)*(x-3)------> x²-3x+8x-24=126----> x²+5x-150=0

using a graph tool------> to resolve the second order equation
see the attached figure
the solution is
x=10 in

the answer is
the original length side of a square is 10 in

4 0

3 years ago

5 and 1/3 × 3 and 3/4

tresset_1 [31]

We'll first off convert the mixed fractions to "improper", and then multiply.

$\bf \stackrel{mixed}{5\frac{1}{3}}\implies \cfrac{5\cdot 3+1}{3}\implies \stackrel{improper}{\cfrac{16}{3}}
\\\\\\
\stackrel{mixed}{3\frac{3}{4}}\implies \cfrac{3\cdot 4+3}{4}\implies \stackrel{improper}{\cfrac{15}{4}}
\\\\\\
\cfrac{16}{3}\times \cfrac{15}{4}\implies \cfrac{15}{3}\times \cfrac{16}{4}\implies 5\times 4\implies 20$

6 0

2 years ago

Dr. Vegapunk thinks that watching anime (Japanese animated shows) decreases social skills in college students. To test this, Dr.

Allisa [31]

Answer:

The test statistic = 2.51

Step-by-step explanation:

For hypothesis testing, the first thing to define is the null and alternative hypothesis.

The null hypothesis plays the devil's advocate and usually takes the form of the opposite of the theory to be tested. It usually contains the signs =, ≤ and ≥ depending on the directions of the test.

While, the alternative hypothesis usually confirms the the theory being tested by the experimental setup. It usually contains the signs ≠, < and > depending on the directions of the test.

For this question, Dr. Vegapunk wants to test the claim that watching anime decreases social skills in college students.

So, the null hypothesis would be that there isn't significant evidence to conclude that watching anime decreases social skills in college students. That is, watching anime does not decrease social skills in college students.

And the alternative hypothesis is that there is significant evidence to conclude that watching anime decreases social skills in college students.

If the previous known mean social skills of college students is 6.2 and the new population mean social skills of college students who watch anime is μ,

Mathematically,

The null hypothesis is represented as

H₀: μ ≥ 6.2

The alternative hypothesis is given as

Hₐ: μ < 6.2

To do this test, we will use the t-distribution because no information on the population standard deviation is known

So, we compute the t-test statistic

t = (x - μ)/σₓ

x = sample mean = 7.3

μ₀ = Standard to be compared against = 6.2

σₓ = standard error of sample mean = [σ/√n]

where n = Sample size = 30

σ = Sample standard deviation = 2.4

σₓ = (2.4/√30) = 0.4382

t = (7.3 - 6.2) ÷ 0.4382

t = 2.51

Hope this Helps!!!

6 0

2 years ago

Please answer the photo.

bezimeni [28]

Answer:

the answer i think is C. AB

7 0

2 years ago