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Yanka [14]
3 years ago
8

zoey made 6 3/4 of fruit for a picnic. at the picnic, they ate 1/3 of the fruit sala. how much fruit salad did they eat?

Mathematics
1 answer:
ira [324]3 years ago
5 0
1/3 of 6 3/4....." of " means multiply....turn mixed number to improper fraction
1/3 * 27/4 = 27/12 = 2 1/4 <==
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A psychologist would like to examine the effect of fatigue on mental alertness. An attention test is prepared which requires sub
lianna [129]

Answer:

The calculated value of t= 0.1908 does not lie in the critical region t= 1.77 Therefore we accept our null hypothesis that  fatigue does not significantly increase errors on an attention task at 0.05 significance level

Step-by-step explanation:

We formulate null and alternate hypotheses are

H0 : u1 < u2 against Ha: u1 ≥ u 2

Where u1 is the group tested after they were awake for 24 hours.

The Significance level alpha is chosen to be ∝ = 0.05

The critical region t ≥ t (0.05, 13) = 1.77

Degrees of freedom is calculated df = υ= n1+n2- 2= 5+10-2= 13

Here the difference between the sample means is x`1- x`2= 35-24= 11

The pooled estimate for the common variance σ² is

Sp² = 1/n1+n2 -2 [ ∑ (x1i - x1`)² + ∑ (x2j - x`2)²]

= 1/13 [ 120²+360²]

Sp = 105.25

The test statistic is

t = (x`1- x` ) /. Sp √1/n1 + 1/n2

t=   11/ 105.25 √1/5+ 1/10

t=  11/57.65

t= 0.1908

The calculated value of t= 0.1908 does not lie in the critical region t= 1.77 Therefore we accept our null hypothesis that  fatigue does not significantly increase errors on an attention task at 0.05 significance level

5 0
3 years ago
The first term of an AP is 2 and the
yanalaym [24]

Answer:

Sn = n/2[2a + (n-1)d]

n=11

a=2

d=3

Sn= 11/2[2(2) + (11-1)3]

Sn= 11/2(34)

Sn = 11x17

=187.

7 0
2 years ago
Why is a regression line referred to as the line of best fit?
aalyn [17]
<h2>Answer with explanation:</h2>

When there is a linear relationship is observed between the variables, we use  linear regression predict the relationship between them.

Also, we predict the values for dependent variable by modelling a linear model that best fits the data by drawing a line Y=a+bX, where X is the explanatory variable and Y is the dependent variable.

In other words: The line of best fit is a line through a scatter plot of data points that best describes the relationship between them.

That's why the  regression line referred to as the line of best fit.

4 0
3 years ago
The table represents an exponential function.
devlian [24]
Hello,
f(1)=2\\&#10;f(2)= \dfrac{2}{5} =2*5^{-1}\\&#10;f(3)= \dfrac{2}{25} =2*5^{-2}\\&#10;f(4)= \dfrac{2}{125} =2*5^{-3}\\\\&#10;&#10;\boxed{f(x)= 2*5^{-x}} \\&#10;&#10;&#10;
4 0
3 years ago
12
Sergeu [11.5K]

Answer:

5 pints per hour.

Step-by-step explanation:

Morning:

Given:

Number of strawberries packed in every 4 minutes = 3

∴ Number of strawberries packed in every one minute = \frac{3}{4}

So, number of strawberries packed in every 60 minutes = \frac{3}{4}\times 60=45

1 hour = 60 minutes.

So, strawberries are packed at a rate of 45 pints per hour in the morning.

Afternoon:

Number of strawberries packed in every 3 minutes = 2

∴ Number of strawberries packed in every one minute = \frac{2}{3}

So, number of strawberries packed in every 60 minutes = \frac{2}{3}\times 60=40

1 hour = 60 minutes.

So, strawberries are packed at a rate of 40 pints per hour in the afternoon.

Difference between the packing rates is given as:

Morning rate - Afternoon rate = 45 - 40 = 5 pints per hour.

So, she packed 5 more pints in one hour in the morning than in the afternoon.

3 0
3 years ago
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