Which of the following is an acute triangle?
70
30*
24°
45
126
132
36°
90°
45
559 55°
Triangle A
Triangle B
Triangle C
Triangle D
A. Triangle B
B. Triangle A
O
C. Triangle C
O.
D. Triangle D

Answer:

[tex]\mu = 15.6[/tex]

[tex]\sigma =3.684[/tex]

Step-by-step explanation:

Given

[tex]p =13\%[/tex]

[tex]n = 120[/tex]

Solving (a): The mean

This is calculated as:

[tex]\mu = np[/tex]

So, we have:

[tex]\mu = 13\% * 120[/tex]

[tex]\mu = 15.6[/tex]

Solving (b): The standard deviation

This is calculated as:

[tex]\sigma = \sqrt{\mu * (1 - p)[/tex]

So, we have:

[tex]\sigma = \sqrt{15.6 * (1 - 13\%)[/tex]

[tex]\sigma = \sqrt{15.6 * 0.87[/tex]

[tex]\sigma =\sqrt{ 13.572[/tex]

[tex]\sigma =3.684[/tex]

2x^2 + 8x - 12 = 0..divide by 2

x^2 + 4x - 6 = 0

x^2 + 4x = 6...add 4 to both sides of the equation

x^2 + 4x + 4 = 6 + 4

(x + 2)^2 = 10....<== ur constant is 10

x + 2 = (+-)sqrt 10

x = -2 (+ - ) sqrt 10

x = -2 + sqrt 10

x = -2 - sqrt 10

Answer:

answer is in the picture above

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Answer:

  D

Step-by-step explanation:

Any equation that does not have y2 as the first term in the second set of parentheses will be incorrect.

The correct usage is shown in equation D.

Given:

so, total cost fir 200 masks=

200×5

= 1000

therefore, Joe paid Rs. 1000 altogether.

Answer:

Step-by-step explanation:

P(answers correctly)=1/5

P(answers incorrectly)=1-1/5=4/5

P( answers correctly second question)=4/5 ×1/5=4/25

Answer:

6, 15, 24, 33

Step-by-step explanation:

Basically, the number on top of the sigma represents the number of terms total in that sequence, and on the right you have the equation in which you can plug in whichever value that falls into what the top number says to find the output. In other words, just plug in 1 for k to find a1, 2 for k to find a2, etc.

Hope that helps!

Answer:

You can go ahead with this!

Step-by-step explanation:

Option A

Is the write answer

Step-by-step explanation:

Double t

t+t=2t

Subtract v

2t-v

Subtract u

2t-v-u

Answer:

- Bar Gaps should be the same

Y-axis up in units of 5 would help out

Step-by-step explanation:

Step-by-step explanation:

solved in the diagram above

I hope it helps you

Answer:

Step-by-step explanation:

a.

(1.36 L)/(10 hr) = (0.136 L)/(hr)

Flow rate = (0.136 L)/(hr) × (1000 mL)/L = (136 mL)/(hr)

136 mL × (27 mg)/(100 mL) = 36.72 mg

Delivery rate = (36.72 mg)/(hr)

b.

(136 mL)/(hr) × (13 gtt)/(mL) = (1868 gtt)/(hr)

c.

10 hr × (36.72 mg)/)hr) = 367.2 mg

Answer:

3b^2 + 2b -8

Step-by-step explanation:

* means multiply

^ means exponent

3b * b = 3b^2

3b * 2 = 6b

-4 * b = -4b

-4 * 2 = -8

3b^2 + 6b -4b -8

3b^2 + 2b -8

Answer:

The answer is below

Step-by-step explanation:

The bar chart to the question is attached below.

The distance traveled by Paolo = 210 m, The distance traveled by Lucas = 150 m, The distance traveled by Jashua = 175 m, The distance traveled by Topher = 190 m

1) The farther distance walk by Paolo = The distance traveled by Paolo - The distance traveled by Topher = 210 m - 190 m = 20 m

2) The farther distance walk by Jasha = The distance traveled by Jashua - The distance traveled by Lucas = 175 m - 150 m = 25 m

3) The farther distance walk by Topher = The distance traveled by Topher - The distance traveled by Lucas = 190 m - 150 m = 40 m

4) Combined distance of Paolo's and Lucas = 210 m + 150 m = 360 m

Combined distance of Jashua and Topher = 175 m + 190 m = 365 m

Therefore the Combined distance of Jashua and Topher is more

5) Average distance = (210 + 150 + 175 + 190)/4 = 181.25 m

Answer:

48

Step-by-step explanation:

About 40 millions of aluminum cans can be recycled each month in the US. A quarter of these aluminum cans are used to make one aluminum boat. How many aluminum boats can be made in one year in the US?

Given that:

Approximate Number of cans that can be recycled per month in the US = 40 million

Fraction of recycled cans that can be used to make an aluminum boat = 1/4

The number of aluminum boats that can be made in the US in one year :

If about 40 million cans are recycle per month :

The number of boat that can be made from each monthly recycled aluminum cans will be :

Number of monthly recycled can needed to make one boat:

1/4 * 40 million = 10 million cans

Hence, 40,000,000 / 10,000,000 = 4

4 aluminum boats can be made in one month :

Number of months in a year = 12

Number of aluminum boats that can be made in a year :

4 per month * 12 = 48 aluminum boats

Answer:

Step-by-step explanation:

Total no. of goods, n = 200

no. of defective units in the goods, d = 20

hence the no. of proper units,

g = n-d

g = = 200-20

g = 180

a)

ways in which a vending company buys fifteen of these microwaves and receive no defective units be:

[tex]^{180}C_{15}=\frac{180!}{15!\times (180-15)!}[/tex]

[tex]\approx 2.83\times 10^{21}[/tex]

b)

ways in which a vending company buys fifteen of these microwaves and receive exactly two defective units be:

[tex]^{20}C_2\times ^{180}C_{13}=\frac{20!}{2!\times (20-2)!} \times \frac{180!}{13!\times (180-13)!}[/tex]

[tex]\approx 190\times (2.146\times 10^{19})[/tex]

[tex]\approx 4.076\times 10^{21}[/tex]

c)

ways in which a vending company buys fifteen of these microwaves and receive at least one defective units be:

[tex]^{20}C_{1}\times ^{199}C_{14}=\frac{20!}{1!\times (20-1)!} \times \frac{199!}{13!\times (199-13)!}[/tex]

[tex]\approx 20\times (8.258\times 10^{19})[/tex]

[tex]\approx 1.652\times 10^{21}[/tex]

Answer: Tis 0

Step-by-step explanation:

Answer:

(-8,0), (0,-6)

Step-by-step explanation:

Answer:

The average rate of change of the cost of a pack is 22 cents per year.

Another name for the average rate of change is slope.

Step-by-step explanation:

The average rate of change of the cost of a pack ([tex]r[/tex]), in monetary units per year, is equal to the change in the average cost of a pack ([tex]\Delta c[/tex]), in monetary units, divided by the change in time ([tex]\Delta t[/tex]), in years. Then, the average rate of change is:

[tex]r = \frac{\$\,5.31-\$\,0.88}{2000-1980}[/tex]

[tex]r = \$\,0.22\,\frac{1}{yr}[/tex]

The average rate of change of the cost of a pack is 22 cents per year.

Another name for the average rate of change is slope.

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Answer:

  (b)  It means that the results that Tessa obtained are too unusual to be explained by chance alone

Step-by-step explanation:

The test for statistical significance is a comparison of the result to the probability that it occurred by chance. The probability of a chance occurrence is usually set at 1% or 5%. The lower the percentage, the less likely a chance occurrence is, and the more difficult showing statistical significance becomes.

Answer:

Step-by-step explanation:

Since EF = 20 and E is at 4

F is at:

Answer:

The diameter that separates the top 3% is of 5.85 millimeters, and the one which separates the bottom 3% is of 5.55 millimeters.

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Mean of 5.7 millimeters and a standard deviation of 0.08 millimeters.

This means that [tex]\mu = 5.7, \sigma = 0.08[/tex]

Top 3%

The 100 - 3 = 97th percentile, which is X when Z has a p-value of 0.97, so X when Z = 1.88.

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]1.88 = \frac{X - 5.7}{0.08}[/tex]

[tex]X - 5.7 = 1.88*0.08[/tex]

[tex]X = 5.85[/tex]

Bottom 3%

The 3rd percentile, which is X when Z has a p-value of 0.03, so X when Z = -1.88.

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]-1.88 = \frac{X - 5.7}{0.08}[/tex]

[tex]X - 5.7 = -1.88*0.08[/tex]

[tex]X = 5.55[/tex]

The diameter that separates the top 3% is of 5.85 millimeters, and the one which separates the bottom 3% is of 5.55 millimeters.

Answer:

Ask me

Step-by-step explanation:

Tell me dear ask..

Answer:

It doesn't intersect at that point

[tex]{ \bf{y = - 4x - 2}} \\ y = - (4 \times 4) - 2 \\ y = - 18[/tex]

Answer: N/A

Step-by-step explanation:

The line y = -4x - 2 does not go through the point (4, -1); it only passes through the point (4, -4(4) - 2) = (4, -18)

This is one single number. The number is slightly larger than 163 thousand.

====================================================

Explanation:

Consider four slots labeled A,B,C,D

We have....

There's a countdown going on (46,45,44,43) when filling up the slots. This countdown is because we cannot reselect any specific person for multiple slots at the same time.

If order mattered, then we'd have 46*45*44*43 = 3,916,440 permutations possible.

However, order doesn't matter. For any group of 4 people, there are 4! = 4*3*2*1 = 24 ways to arrange them. So we must divide the previous result over 24 to get (3,916,440)/24 = 163,185

This means there are 163,185 different combinations and this is the number of possible samples of size 4 from a population of 46 people. The order of any sample doesn't matter.

Answer:

[tex]8^{3(n-1)+1}[/tex]

Step-by-step explanation:

Answer:

DGF = 106

Step-by-step explanation:

Bisects means to divide in half, with two equal parts

DGF = DGE + EGF

DGE = EGF

DGF = DGE + DGE

DGF = 53+53

DGF = 106

GE bisects ∠DGF, so it divides ∠DGF into 2 equal parts.

So, m∠EGF = m∠DGE

=> m∠EGF = 53°

m∠DGF = m∠EGF + m∠DGE

=> m∠DGF = 53° + 53°

=> m∠DGF = 106°