1. Determine P(green) and P(orange for the spinner. Write the probabilities as fractions, decimals and percents.

Answer: -18, l-17l, l-18l, l19l, 20

Step-by-step explanation: You can just think of the ones in absolute value brackets as positive.

Answer:

x = 36

Step-by-step explanation:

x/4 = 9

multiply both sides by 4

x/4 (4) = 9(4)

x = 36

The answer is x = 36

We can check by plugging in x = 36 to the original equation:

x/4 = 9

(36)/4 = 9

9 = 9

Correct

Answer:

We reject H₀ . We support the feeling of people from a government agency

Step-by-step explanation:

Population information:

Population mean   μ  =  24 ou

Sample information:

Sample size   n  =  50    then   degree of fredom df = n - 1 = 49

Sample mean   x  = 23,7

Sample standard deviation   s = 0,8

Hypothesis Test:

Null Hypothesis                          H₀                x  = μ

Alternative hypothesis              Hₐ                 x < μ

Significance level   α  = 0,01

We can conclude from the alternative hypothesis that we should develop a one tail-test ( to the left " if a local brewery is cheating its customers that mean,  they are selling less beer than they are supposed to)

With α  = 0,01 and df  =  49 we get from t-student table t(c) = - 2,4

To calculate t(s)

t(s) =  (  x  -  μ  ) / s/√n

t(s)  = ( 23,7  - 24  ) / 0,8/√50

t(s)  =  - 0,3* 7,07 / 0,8

t(s)  = - 2,12 / 0,8

t(s) = - 2,65

Comparing t(c) and t(s)

|t(c)| < |t(s)|

2,4 < 2,65

Then t(s) is in the rejection region we reject H₀ , and agree with a government agency in the fact that at 99 % of confidence interval shows that local brewery is cheating customers

Answer:

Step-by-step explanation:

Answer 1

Answer 2

Area = 1/2 * 6 * 11

Answer:

x = 9. 177

Step-by-step explanation:

Answer:

x = 1 and 10

Step-by-step explanation:

Given the equation \sqrt{-x+26}=x-6, we are to find the value of x

Take the square of both sides

(\sqrt{-x+26})²= (x-6)²

-x+26 = (x-6)²

Expand the parenthesis

-x+26 = x²-12x+36

x²-12x+36+x-26 = 0

x²-11x+10 = 0

x²-10x-x +10 = 0

x(x-10) -1()-10) = 0

(x-1)(x-10) = 0

x - 1 =0 and x - 10 = 0

x = 1 and 10

Hence the value of x is 1 and 10

Answer:

D) ONK and MNK

Step-by-step explanation:

All the other choices are either corresponding or vertical angles

Answer:

w = 3 inches

Step-by-step explanation:

Given that,

The volume of the candle, V = 99 cubic inches

Length, l = 11 inches

Breadth, b = 3 inches

We need to find the width of the candle. The candle is in the form of a cuboid. The volume of cuboidal shape is given by :

[tex]V=lwh[/tex]

Put all the values,

[tex]w=\dfrac{V}{lb}\\\\w=\dfrac{99}{11\times 3}\\\\w=3\ inches[/tex]

So, the width of the mold is 3 inches.

Answer:

Here are two ways to help with dilation as cm counting can help and so can division.

Step-by-step explanation:

1. Image of a Button enlarged 5 times and shows it is 6cm image is divided by 5 and shows a decimal 1.2   etc. so you write 1.2cm

2. Coordinates shown of A : B : C can be found from their cm measurement we measure the AB and BC measure being; Adjacent (m1) and Hypotenuse (m2) in cm and include any decimals. alternately if they are difficult to count then we take coordinates of AB BC or any adjacent and hypotenuse coordinates to suit y2-y1 / x2-x1 and enter those as our measure and just ensure they are turned positive to enter into calculator.

Note m = measure here found after the above is done.

Then Calculate Adjacent / Hypotenuse = m1/m2 = multiplier

Then input the multiplier to cos-1 found on your shift button.

Answer:

I'm not sure how to answer this.

Step-by-step explanation:

Is this the full question? The context seems to be missing something. Who are Ben and Scott and who are the other 2 candidates?

Maybe post another question and rephrase it.

Answer:

Linear, the linear term is -21x and the constant term is -20. Last option is the answer

Step-by-step explanation:

We are given the following function:

[tex]y = (x - 5)(5x + 4) - 5x^2[/tex]

First we have to simplify y, before solving the question:

[tex]y = (x - 5)(5x + 4) - 5x[/tex]

Applying the distributive property:

[tex]y = 5x^2 + 4x - 25x - 20 - 5x^2[/tex]

[tex]y = 0x^2 - 21x - 20[/tex]

[tex]y = -21x - 20[/tex]

No quadratic term, so it is linear.

The linear term is -21x and the constant term is -20.

Answer:

0.0793 = 7.93% probability that more than 5% of the guests are pollotarian and therefore she will not have enough pollotarian meals

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

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.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean [tex]\mu = p[/tex] and standard deviation [tex]s = \sqrt{\frac{p(1-p)}{n}}[/tex]

3.5% of the people in the area where a large wedding is to be held are pollotarian.

This means that [tex]p = 0.035[/tex]

300 guests

This means that [tex]n = 300[/tex]

Mean and standard deviation:

[tex]\mu = p = 0.035[/tex]

[tex]s = \sqrt{\frac{p(1-p)}{n}} = \sqrt{\frac{0.035*0.965}{300}} = 0.0106[/tex]

What is the approximate probability that more than 5% of the guests are pollotarian and therefore she will not have enough pollotarian meals?

This is 1 subtracted by the pvalue of Z when X = 0.05. So

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

By the Central Limit Theorem

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

[tex]Z = \frac{0.05 - 0.035}{0.0106}[/tex]

[tex]Z = 1.41[/tex]

[tex]Z = 1.41[/tex] has a pvalue of 0.9207

1 - 0.9207 = 0.0793

0.0793 = 7.93% probability that more than 5% of the guests are pollotarian and therefore she will not have enough pollotarian meals

Answer:7.93%

Step-by-step explanation:

Answer:

a. Simple interest = K960

b. Simple interest = K11,960

c. Simple interest = K261

Step-by-step explanation:

Given the following data;

a. Principal = K4000

Interest rate = 6%

Time = 4 years

To find the simple interest;

Mathematically, simple interest is calculated using this formula;

[tex] S.I = \frac {PRT}{100} [/tex]

Where;

S.I is simple interest.

P is the principal.

R is the interest rate.

T is the time.

Substituting into the equation, we have;

[tex] S.I = \frac {4000*6*4}{100} [/tex]

[tex] S.I = \frac {4000*6*4}{100} [/tex]

[tex] S.I = \frac {96000}{100} [/tex]

S.I = K960

b. Principal = K23 000

Interest rate = 6.5%

Time = 8 years

To find the simple interest;

[tex] S.I = \frac {PRT}{100} [/tex]

Substituting into the formula, we have;

[tex] S.I = \frac {23000*6.5*8}{100} [/tex]

[tex] S.I = \frac {1196000}{100} [/tex]

S.I = K11,960

c. Principal = K580

Interest rate = 5%

Time = 9 months

To find the simple interest;

[tex] S.I = \frac {580*5*9}{100} [/tex]

[tex] S.I = \frac {26100}{100} [/tex]

S.I = K261

Answer:

The area of the triangle is 168 meters

Step-by-step explanation:

Formula to find the area of a triangle:

Area = 1/2 Base x Height

So, first you need to identify the base and the height. The base is 16m + 8m, and the height is 14m. All you have to do is plug in the numbers:

Area = 1/2 (16 + 8) x 14

Then, you solve:

Area = 1/2 (16 + 8) x 14

Area = 1/2 24 x 14

Area = 1/2 336

Area = 168 meters

So, the area of the triangle is 168 meters

Answer:

9.8

Step-by-step explanation:

Answer: The answer is (c) 5

Step-by-step explanation: just know

Answer:

Trinomial

Step-by-step explanation:

Traditionally, an expression consisting of 3 terms is called a Trinomial. For example : 3x + 4y -z, 5xy + 4yz + 4 ,a + b –c. And an expression consisting of more than 3 terms is called Polynomial.

hope this helps:)

Answer:  An algebraic expression that contains three terms is called trinomial

Hope this helps!

Answer:

Step-by-step explanation:

distributive property

Answer:

B

Step-by-step explanation:

30-3.12=26.88 divide that by 4 and you get 6.72

Answer:

The Answer is B, $6.72

Step-by-step explanation:

30-3.12= 26.88

26.88÷ 4= 6.72

Answer:

If I did my math correctly, I'm pretty sure the answer is 3 1/36 yards.

Step-by-step explanation:

1. First, you have to turn them all into an improper fraction.

1 7/18 becomes 25/18

1 2/9 becomes 11/9

5/12 remains the same as it's already an improper fraction.

2. Find a common denominator, which is 36

25/18 becomes 50/36

11/9 becomes 44/36

5/12 becomes 15/36

3. Add them all together and you get 109/36

4. Turn it into a mixed number, and in this case, is 3 1/36

Solution is 3 1/36

Answer:

3 1/36

Step-by-step explanation:

Answer:5470

Step-by-step explanation:The mean is the average of the data collected in the graph.Step one add everthing together which is 3,850+ 5,300+ 8,540+ 4,300+5,360=27,350, Step two divide 27,350 with the total amount of numbers that's in the graph which is 5 if you divide those two number together you will get on average 5,470.

Let X be a random variable denoting pulse rates of females as described, with mean µ = 74.0 bpm and standard deviation σ = 12.5 bpm. Then

P(70 < X < 78) = P((70 - µ)/σ < (X - µ)/σ < (78 - µ)/σ)

… = P(-0.32 < Z < 0.32)

… = P(Z < 0.32) - P(Z < -0.32)

… ≈ 0.6255 - 0.3745

… ≈ 0.2510

where Z is normally distributed with mean 0 and s.d. 1.

• • •

Next, you sample 25 females from the population and want to find the probability that their average falls between 70 and 78 bpm. Let [tex]X_i[/tex] denote the pulse rate of the i-th woman from the sample, and let Y be the random variable for the sample mean; that is,

[tex]Y=\displaystyle\sum_{i=1}^{25}\frac{X_i}{25}[/tex]

Recall that a sample of size n taken from a normal distribution with mean µ and s.d. σ has a mean that is also normally distributed with mean µ and s.d. σ/√n.

The mean stays the same, µ = 74.0, but now the s.d. is σ/√n = σ/5 = 2.5. So we have

P(70 < Y < 78) = P((70 - µ)/(σ/5) < (Y - µ)/(σ/5) < (78 - µ)/(σ/5))

… = P(-1.6 < Z < 1.6)

… = P(Z < 1.6) - P(Z < -1.6)

… ≈ 0.9452 - 0.0548

… ≈ 0.8904

Answer:

10 10 and 20

Step-by-step explanation:

.......ur welcome........

Answer:

50

Step-by-step explanation:

a triangle's angles add up to 180 degrees.

100-80=100

since two of the sides are the same length, the two angles must also be the same so you just divide 100 by two

100/2=50