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3 years ago

Can anybody help please?

Mathematics

2 answers:

Varvara68 [4.7K]3 years ago

8 0

Answer:

a) 6:40

b) 4:50

c) 11:30

Step-by-step explanation:

Btw it was easy though

natulia [17]3 years ago

6 0

Answer for 1: 6:20
Answer for 2: 4:50
Answer for 3: 11:30

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How many elements are in the set {x | x is an even prime number, x<150}?

Bond [772]

Answer:

The set {x | x is an even prime number, x<150} has 1 element.

Step-by-step explanation:

Prime Numbers: The numbers which have no factors other than 1 and the number itself are called prime numbers.

Even Numbers are those numbers which are completely divisible by 2.

So, the only EVEN PRIME NUMBER = 2

Now, Set = {x | x is an even prime number, x<150}

So, the set has {2} as its only element.

Hence, the total elements in the set is 1.

Or, the set {x | x is an even prime number, x<150} has 1 element.

5 0

3 years ago

In a completely randomized experimental design, three brands of paper towels were tested for their ability to absorb water. Equa

arlik [135]

Answer:

Yes. At this significance level, there is evidence to support the claim that there is a difference in the ability of the brands to absorb water.

Step-by-step explanation:

The question is incomplete:

The significance level is 0.05.

The data is:

Brand X: 91, 100, 88, 89

Brand Y: 99, 96, 94, 99

Brand Z: 83, 88, 89, 76

We have to check if there is a significant difference between the absorbency rating of each brand.

Null hypothesis: all means are equal

$H_0:\mu_x=\mu_y=\mu_z$

Alternative hypothesis: the means are not equal

$H_a: \mu_x\neq\mu_y\neq\mu_z$

We have to apply a one-way ANOVA

We start by calculating the standard deviation for each brand:

$s_x^2=30,\,\,s_y^2=6,\,\,s_z^2=35.33$

Then, we calculate the mean standard error (MSE):

$MSE=(\sum s_i^2)/a=(30+6+35.33)/3=71.33/3=23.78$

Now, we calculate the mean square between (MSB), but we previously have to know the sample means and the mean of the sample means:

$M_x=92,\,\,M_y=97,\,\,M_z=84\\\\M=(92+97+84)/3=91$

The MSB is then:

$s^2=\dfrac{\sum(M_i-M)^2}{N-1}\\\\\\s^2=\dfrac{(92-91)^2+(97-91)^2+(84-91)^2}{3-1}\\\\\\s^2=\dfrac{1+36+49}{2}=\dfrac{86}{2}=43\\\\\\\\MSB=ns^2=4*43=172$

Now we calculate the F statistic as:

$F=MSB/MSE=172/23.78=7.23$

The degrees of freedom of the numerator are:

$dfn=a-1=3-1=2$

The degrees of freedom of the denominator are:

$dfd=N-a=3*4-3=12-3=9$

The P-value of F=7.23, dfn=2 and dfd=9 is:

$P-value=P(F>7.23)=0.01342$

As the P-value (0.013) is smaller than the significance level (0.05), the null hypothesis is rejected.

There is evidence to support the claim that there is a difference in the ability of the brands to absorb water.

3 0

3 years ago

A tub filled with 50 quarts of water empties at a rate of 2.5 quarts per minute. Let w = quarts of water left in the tub and t =

Sunny_sXe [5.5K]

w = 50 - 2.5t

Is there a viable solution when time is 30 minutes? No, because by then the tub will be empty.

Hope this Helps!!

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4 years ago

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Task is to construct two brick columns of the dimensions shown on which an iron gate will eventually be hung. Because

Anna35 [415]

Answer:

224 in²

Step-by-step explanation:

4 0

3 years ago

Need help solving 35+16z=16z+35

olga55 [171]

35+16z=16z+35 35-35=16-16 0=0

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4 years ago

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