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3 years ago

R

Mathematics

1 answer:

victus00 [196]3 years ago

5 0

Answer:

No, it's false

Step-by-step explanation:

We khow that the lenght of the rectangle is 18 cm and inside we have three identical cercles
so to get the diameter we can divide 18 by 3 ⇒18/3=6 so the diamter is 6 and the radius is 3

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How do you complete this One-Step equation? 5 1/2 + p = 6

dalvyx [7]

5 1/2 + p = 6

subtract 5 /12 from each side

5 1/2 - 5 1/2+ p = 6 - 5 1/2

p = 6 - 5 1/2

borrow from the 6

p = 5 2/2 - 5 1/2

p = 1/2

8 0

3 years ago

Read 2 more answers

You have $55,000 in your savings account that pays 2.5% annual interest and the inflation rate is 3.4%. how much buying power in

lianna [129]

Your interest formula is given to you.

Interest in a year = principal (the amount invested) * rate (the interest rate) * period (the time you're measuring) 

Interest = 55,000 * 2% * 1 year = 55,000 * 0.02 * 1 = $1,100 

How much would you need to have made for your spending power to keep with inflation? Your interest rate would have needed to match the inflation rate, otherwise, prices are going up faster than you're saving. 

Required interest = 55,000 * 3.24% * 1 year = 55,000 * 0.0324 * 1 = $1,782 

How much buying power did you lose? The difference between your required interest and your actual interest. 
Buying power lost = 1,782 - 1,100 = $682. You lost this much in buying power.

6 0

3 years ago

Read 2 more answers

Can someone answer this question please?

Mekhanik [1.2K]

Steps:
1. calculate the values of y at x=0,1,2. using y=5-x^2
2. calculate the areas of trapezoids (Bottom+Top)/2*height
3. add the areas.

1.
x=0, y=5-0^2=5
x=1, y=5-1^2=4
x=2, y=5-2^2=1
2.
Area of trapezoid 1 = (5+4)/2*1=4.5
Area of trapezoid 2 = (4+1)/2*1=2.5

Total area of both trapezoids = (4.5+2.5) = 7

Exact area by integration:
integral of (5-x^2)dx from 0 to 2
=[5x-x^3/3] from 0 to 2
=[5(2-0)-(2^3-0^3)/3]
=10-8/3
=22/3
=7 1/3, slight greater than the estimation by trapezoids.

8 0

3 years ago

What is 52% of 25 if you answer your the first to answer you get 25 points

adoni [48]

Answer:

Step-by-step explanation:

convert 52% into a decimal which is 0.52 then mulitply by 25 to get your answer

5 0

3 years ago

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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:

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:

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