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4 years ago

Please Fill in the Blanks (see attachment)

Mathematics

1 answer:

Mademuasel [1]4 years ago

5 0

In order of empty boxes :
1. -7/4
2. 1/7
3. -5/3
4. 1/2
5. neither a parallelogram or a trapezoid
6. neither pair of opposite sides is parallel

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Brooklyn has sold 70% of the 20 candy bars she is supposed to sell for her basketball team. How many candy bars did she sell alr

romanna [79]

Answer:

14 candy Bars

Step-by-step explanation:

Let's under the question before we attempt it.

Total number of Candy Brooklyn is supposed to sell = 20

Percentage of Candy Bars sold= 70%

To know the exact number of Candy sold, it's means we must know the exact value of 70% of 20.

To solve this, we just proceed with mathematical operations.

Therefore:

70% of 20

= 70 / 100 * 20

= 1400 / 100

= 14.

It therefore means that, Brooklyn sold 14 Candy Bars

Math is fun! Lets Keep learning

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3 years ago

Which of the following is equivalent to (x-3)(x^2-2x-3)

Thepotemich [5.8K]

What is the following

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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