according to a recent article about individuals who have credit cards, the mean number of cards per person with credit cards is 4. To test this results a random survey of 60 individuals who have credit cards were conducted. The survey only includes the number of credit cards per participant

Answer:

x=-3

Step-by-step explanation:

Answer:

42 goals

Step-by-step explanation:

Answer:

D) I and III only

Step-by-step explanation:

It was never specified if the sample was random, but the method of sampling was not random. So I must be true, eliminating B and C. Additionally, not all the expected counts are greater than 5 as 40(0.05)<5, 40(0.14)>5, 40(0.28)>5, 40(0.20)>5, 40(0.26)>5, 40(0.20)>5, and 40(0.07)<5. Therefore, D is the only correct answer.

The required range of drivers who own 8 years car is 23years.

Given that,

The scatter plot shows the ages of drivers who attended a car show and the ages of their cars.

We have to determine,

The age range of drivers who own an 8-year-old car.

According to the question,

The Range is the difference between the lowest and highest values.

Therefore,

The age range of drivers who own 8 years old car is 17,25 and 40 years.

Then,

Range of drivers who own 8 years car = highest value of range - lowest value of age.

Range of age of drivers who own 8 years car = 40 - 17 = 23years

Hence, The required range of drivers who own 8 years car is 23years.

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Answer:

- 3/x-1

Step-by-step explanation:

Answer:

[tex]-\frac{3}{x-1}[/tex]

Step-by-step explanation:

Factor the denominator and then combine fractions:

[tex]\frac{3}{(x-1)(x-2)} -\frac{3}{x-2}[/tex]

Find LCM (Least Common Multiple) of denominators:

LCM of (x-1)(x-2) and x-2 is (x-1)(x-2)

Adjust fractions based on LCM:

[tex]\frac{3}{(x-1)(x-2)} -\frac{3(x-1)}{(x-2)(x-1)}[/tex]

Denominators are now equal so you can subtract the fractions:

[tex]\frac{3-3(x-1)}{(x-1)(x-2)}[/tex]

Factor the numerator:

[tex]\frac{3(-x+2)}{(x-1)(x-2)}[/tex]

Cancel:

[tex]-\frac{3}{x-1}[/tex]

Answer:

Step-by-step explanation:

180 - ( 37+67) = 180 - 104

                      = 76°

Answer:

97.95% of these nuts will meet the specification limits.

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.

The offsetting machine used to make these nuts has been producing nuts with an average locking torque of 8.62 in-lb and variance of 4.49 squared in-lb.

This means that [tex]\mu = 8.62, \sigma = \sqrt{4.49}[/tex]

Torque is normally distributed. If the upper specification is 13.0 in-lb and the lower specification is 2.25 in-lb, what percent of these nuts will meet the specification limits?

The proportion is the p-value of Z when X = 13 subtracted by the p-value of Z when X = 2.25. So

X = 13

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

[tex]Z = \frac{13 - 8.62}{\sqrt{4.49}}[/tex]

[tex]Z = 2.07[/tex]

[tex]Z = 2.07[/tex] has a p-value of 0.9808.

X = 2.25

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

[tex]Z = \frac{2.25 - 8.62}{\sqrt{4.49}}[/tex]

[tex]Z = -3.01[/tex]

[tex]Z = -3.01[/tex] has a p-value of 0.0013.

0.9808 - 0.0013 = 0.9795

0.9795*100% = 97.95%

97.95% of these nuts will meet the specification limits.

Answer:

x=120°

y=70°

Step-by-step explanation:

solution,

y=70°(alternate angles)

x=120°(corresponding angles)

Answer:

[tex]\frac{x}{3} +5[/tex]

Step-by-step explanation:

5 more than means "+ 5"

quotient means fraction so x is the numerator and 3 is the denominator

[tex]\frac{x}{3} +5[/tex]

9514 1404 393

Answer:

  x in {-6, -2, 4}

Step-by-step explanation:

The zero product rule tells you that a product will be zero if and only if one of the factors is zero. These binomial factors are zero when x has a value that is opposite the constant of the binomial.

  x +6 = 0   ⇒   x = -6

  x -4 = 0   ⇒   x = 4

  x +2 = 0   ⇒   x = -2

The zeros of the function are the x-values -6, -2, and 4.

Answer:

[tex] \frac{5}{6} * 20 = \frac{5 * 20}{6} = \frac{100}{6} = \frac{50}{3} = 16\frac{2}{3} [/tex]

Step-by-step explanation:

[tex] \frac{5}{6} * 20 [/tex]

Multiply

[tex] = \frac{5 * 20}{6} [/tex]

[tex] = \frac{100}{6} [/tex]

Simplicity by reducing the fraction. Divide the numerator and denominator by 2, respectively.

[tex] = \frac{50}{3} [/tex]

Divide 50 by 3 to get a mixed number

[tex] = 16\frac{2}{3} [/tex]

Answer:

Correct Answer: 45 candidates

Step-by-step explanation:

Since 12% + 28% = 40%

40% of (75) = is 30 Candidates are selected\on hold and (45 candidates Are Rejected)

Hope this helped :)

The number of rejected will be 45 candidates. The correct option is A.

The Percentage is defined as representing any number with respect to 100. It is denoted by the sign %. The percentage stands for "out of 100." Imagine any measurement or object being divided into 100 equal bits.

Given that at a walk-in interview, 12% of candidates can be selected, and 28% of candidates can be put on hold for the next hiring date. 75 candidates are interviewed,

The number of rejected candidates will be calculated as below:-

Total candidates = 12% + 28% = 40%

40% of (75) =30

Rejected candidates = 75 - 30 = 45

Therefore, the number of rejected will be 45 candidates. The correct option is A.

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Answer:

A. 5

Step-by-step explanation:

just use calculator tbh

Answer:

Step-by-step explanation:

Answer:

27/1

Step-by-step explanation:

3³=3·3·3=27

27=27/1

Answer:

9.0 ft

Step-by-step explanation:

Let the distance from the bottom of the board to the edge of the wall be represented as "x"

Angle measure = θ = 53.13°

Hypotenuse = 15 ft

Adjacent side = x ft

The trigonometric ratio we would apply would be CAH:

Thus,

Cosine θ = Adjacent/Hypotenuse

Plug in the values

Cos 53.13° = x/15

Multiply both sides by 15

15 * Cos 53.13 = x

9.00002143 = x

x ≈ 9.0 ft (nearest tenth)

Therefore, distance from the bottom of the board to the edge of the wall = 9.0 ft

Answer:

A

Step-by-step explanation:

multiple lines meeting at 90 degrees. hope this helped

9514 1404 393

Answer:

  13

Step-by-step explanation:

  -2(t +7) = -4t +12

  t +7 = 2t -6 . . . . . . . divide by -2

  13 = t . . . . . . . . . . . . add 6-t

Answer/Step-by-step explanation:

According to the Hing e Theorem states when two triangles have two congruent sides but have different included angle measure, the largest angle is said to be definitely opposite the longer of the sides.

In the figure given, since both triangles have two corresponding sides that are congruent (BA = BB and BD = BD), and the included angle measure are different, therefore, the greater third side would be the side opposite to the included angle that is the greatest.

Thus, CD is opposite to the greater included angle (28°), therefore, CD> AD

Answer:

7

Step-by-step explanation:

The required probabilities are
• Exactly 2 are male = 0.08

• At least 7 are male = 0.14

• None are male = 0.60

• Less than 3 are male = 0.12

• There are 3 or 4 males = 0.019

• At least 1 is male = 0.04

Probabilities to college reported that 40% of its population is male. Nine students are selected at random.

Probability can be defined as the ratio of favorable outcomes to the total number of events.

For Exactly 2 are male = 2 * 0.04
                                       = 0.08
Similarly,
• At least 7 are male = 0.14

• None are male = 1 -0.40 = 0.60

• Less than 3 are male = 0.12

• There are 3 or 4 males = 0.12 *0.16 = 0.019

• At least 1 is male = 0.04

Thus, the required probability is given above.

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Answer:

108°

Step-by-step explanation:

[tex]a^{2}[/tex] + [tex]b^{2}[/tex] = [tex]c^{2}[/tex]

[tex]35^{2}[/tex] = [tex]11^{2}[/tex] + [tex]30^{2}[/tex]

[tex]\frac{204}{-660}[/tex] = [tex]\frac{-660 cos}{-660}[/tex]

cos = -0.309

The measure of the greatest angle in the triangular fence is approximately 108.5 degrees. To find the measure of the greatest angle in the triangular fence, you can use the Law of Cosines.

The Law of Cosines states:

[tex]c^2 = a^2 + b^2 - 2ab * cos(C)[/tex]

where c is the side opposite the angle C, and a and b are the other two sides of the triangle.

In this case, the sides of the triangle are:

a = 11 yards

b = 30 yards

c = 35 yards

Now, let's find the measure of angle C (the angle opposite the side with length 35 yards):

[tex]c^2 = a^2 + b^2 - 2ab * cos(C)\\35^2 = 11^2 + 30^2 - 2 * 11 * 30 * cos(C)\\1225 = 121 + 900 - 660 * cos(C)\\1225 = 1021 - 660 * cos(C)\\[/tex]

Now, isolate cos(C) by moving the terms around:

[tex]660 * cos(C) = 1021 - 1225\\660 * cos(C) = -204[/tex]

Now, divide by 660 to find cos(C):

[tex]\cos(C) \approx -0.3091[/tex]

Now, find the measure of angle C by taking the inverse cosine (cos^-1) of -0.3091:

[tex]C \approx cos^-1(-0.3091)\\C \approx 108.5 degrees[/tex] (rounded to one decimal place)

Since this is the angle opposite the side with length 35 yards, it is the greatest angle in the triangle.

So, the measure of the greatest angle in the triangular fence is approximately 108.5 degrees.

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Answer: (-3,20) (2,35)

Step-by-step explanation: well if the 2 is an exponent then this is the answer, I don’t know the step by step though sorry. <3

Answer:

[tex]p(x)=-5(x-12)^2+405[/tex]

Step-by-step explanation:

Hi there!

Vertex form: [tex]f(x)=a(x-h)^2+k[/tex]

[tex]p(x)=-5x^2+120x-315[/tex]

Factor out -5 from the first two terms

[tex]p(x)=-5(x^2-24x)-315[/tex]

Complete the square by adding [tex](\frac{24}{2} )^2[/tex] (the square of half of the x-coefficient)

[tex]p(x)=-5(x^2-24x+(\frac{24}{2} )^2)-315-(-5)(\frac{24}{2} )^2[/tex]

We're subtracting [tex](-5)(\frac{24}{2} )^2[/tex] because we need to keep the equation balanced and we can't just add new values.

Complete the square

[tex]p(x)=-5(x-(\frac{24}{2} ))^2-315-(-5)(\frac{24}{2} )^2[/tex]

Simplify

[tex]p(x)=-5(x-12)^2-315+720\\p(x)=-5(x-12)^2+405[/tex]

Summary:

I hope this helps!

Answer:

Say wahhhhh!

Step-by-step explanation:

Answer:

yes it is

Step-by-step explanation:

Answer:

H=12

Step-by-step explanation:

Answer:

Step-by-step explanation:

You can start by splitting one whole complex shape into multiple shapes. Then find the areas of the shapes and add them together. Check the image I attached.

Complete question :

Birth Month Frequency

January-March 67

April-June 56

July-September 30

October-December 37

Answer:

Yes, There is significant evidence to conclude that hockey​ players' birthdates are not uniformly distributed throughout the​ year.

Step-by-step explanation:

Observed value, O

Mean value, E

The test statistic :

χ² = (O - E)² / E

E = Σx / n = (67+56+30+37)/4 = 47.5

χ² = ((67-47.5)^2 /47.5) + ((56-47.5)^2 /47.5) + ((30-47.5)^2/47.5) + ((37-47.5)^2/47.5) = 18.295

Degree of freedom = (Number of categories - 1) = 4 - 1 = 3

Using the Pvalue from Chisquare calculator :

χ² (18.295 ; df = 3) = 0.00038

Since the obtained Pvalue is so small ;

P < α ; We reject H0 and conclude that there is significant evidence to suggest that hockey​ players' birthdates are not uniformly distributed throughout the​ year.

Answer:

28 / 153 or around an 18.3% chance.

Step-by-step explanation:

P (b, b) = (total blue / total socks) × (total blue – 1 / total socks – 1) =

(8 / 18) × (7 / 17) = 56 / 306 = 28 / 153