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Stels [109]
3 years ago
5

At a certain company, 64.5% of the employees have engineering degrees. Express this percent as a decimal

Mathematics
2 answers:
bekas [8.4K]3 years ago
8 0
64.5\%=\dfrac{64.5}{100}=0.645
Verdich [7]3 years ago
5 0

At a certain company, 64.5% of the employees have engineering degrees.

To express the percentage as a decimal we need to remove the % symbol.

To remove % symbol we always divide by 100

When we divide by 100 we move the decimal point two places to the left.

64.5 =\frac{64.5}{100}  = 0.645

The decimal vale of 64.5% is 0.645

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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:

<em>The question is incomplete:</em>

<em>The significance level is 0.05.</em>

<em>The data is:</em>

<em>Brand X: 91, 100, 88, 89</em>

<em>Brand Y: 99, 96, 94, 99</em>

<em>Brand Z: 83, 88, 89, 76</em>

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
Help I’ll give 25 points!! <br> it’s a test btw
lukranit [14]
The answer is Associative
8 0
3 years ago
Is 1000 a sequence in 50 65 80 95
SCORPION-xisa [38]

Answer: yes

Step-by-step explanation:

it’s the 41st term

5 0
2 years ago
A certain roller coaster can accommodate 1,600 riders per hour. A digital sign states there are 345 people in line. If you get i
oksano4ka [1.4K]
By multiplying 1,600×345
5 0
3 years ago
Read 2 more answers
Find the measure of c.<br> (1<br> 27<br> O A. 31.6<br> B. 27<br> C. 63<br> D. 126
professor190 [17]

Answer:

The answer is

The measure of c is 63

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3 years ago
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