The mean family income for a random sample of 550 suburban households in Nettlesville shows that a 92 percent confidence interval is ($45,700, $59,150). Braxton is conducting a test of the null hypothesis H0: µ = 44,000 against the alternative hypothesis Ha: µ ≠ 44,000 at the α = 0.08 level of significance. Does Braxton have enough information to conduct a test of the null hypothesis against the alternative?

multiple-choice options:
H0: µ > 17 miles per gallon, Ha: µ ≥ 17 miles per gallon

H0: µ ≤ 17 miles per gallon, Ha: µ < 17 miles per gallon

H0: µ = 17 miles per gallon, Ha: µ > 17 miles per gallon

H0: µ = 17 miles per gallon, Ha: µ < 17 miles per gallon

H0: µ = 17 miles per gallon, Ha: µ ≠ 17 miles per gallon

Answer:

i think 38

Step-by-step explanation:

Answer:

y^2=28 (x-1)

Step-by-step explanation:

So thats ur answer im guessing

Answer:

23 hours and 10 minutes

Answer:

1. Elanor's standardized score is 1.08.

2. Gerald's standardized score is 3.24.

3.  A. Gerald.

Step-by-step explanation:

Z-score:

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.

1. What is Elanor's standardized score?

Eleanor scores 680 on the mathematics part of the SAT. The distribution of SAT math scores in recent years has been Normal with mean 561 and standard deviation 110. This means that we have [tex]X = 680, \mu = 561, \sigma = 110[/tex].

The standardized score is:

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

[tex]Z = \frac{680 - 561}{110}[/tex]

[tex]Z = 1.08[/tex]

Elanor's standardized score is 1.08.

2. What is Gerald's standardized score?

Gerald takes the ACT Assessment mathematics test and scores 27. ACT math scores are Normally distributed with mean 20.2 and standard deviation 2.1. This means that we have [tex]X = 27, \mu = 20.2, \sigma = 2.1[/tex]

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

[tex]Z = \frac{27 - 20.2}{2.1}[/tex]

[tex]Z = 3.24[/tex]

Gerald's standardized score is 3.24.

3. Assuming that both tests measure the same kind of ability, who has the higher score?

Due to the higher standardized score, Gerald

Answer:

a = 8√2

Step-by-step explanation:

a² + b² = c²

a² +14² = 18²

a² + 196 = 324

Subtract 196 from both side

a² = 128

Take the square root of both sides

a = √128

a = √(64 * 2)

a = 8√2

Answer:

acute (<90°): 2° 35° 47° 78° 89.5°

obtuse (>90°): 91° 180° 290° 110° 359°

Answer:

39

Step-by-step explanation:

24+15= 39. 39 students are taking both math and biology.

Answer:

B. x< -3

hope it helps.

Explanation:

The blue shaded region describes any x value that is smaller than -3, or that is equal to -3. We can phrase it as "x is less than or equal to -3". Therefore, that's why we go for [tex]x \le -3[/tex]

If you graphed [tex]x < -3[/tex], without the "or equal to" portion, then you would have an open circle at the endpoint. The open circle means we don't include that value as part of the solution set.

Answer:

Nicholas pulls 5 blue marbles from the bag.

Step-by-step explanation:

Since Nicholas performs an experiment in which he pulls a marble from a bag, and in his experiment, he finds that he is twice as likely to pull a red marble as a blue marble, to determine, if Nicholas pulls 10 red marbles, how many blue marbles does he pull, the following calculation must be performed:

10/2 = X

5 = X

Therefore, Nicholas pulls 5 blue marbles from the bag.

Answer:

X = 102

Step-by-step explanation:

41 + 37 + x = 180

78 + x = 180

X = 180 - 78 = 102

Answer:

267 observations are needed.

Step-by-step explanation:

We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:

[tex]\alpha = \frac{1 - 0.95}{2} = 0.025[/tex]

Now, we have to find z in the Ztable as such z has a pvalue of [tex]1 - \alpha[/tex].

That is z with a pvalue of [tex]1 - 0.025 = 0.975[/tex], so Z = 1.96.

Now, find the margin of error M as such

[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]

Let us assume that the population standard deviation is $12.5.

This means that [tex]\sigma = 12.5[/tex]

Willing to accept only a $1.5 margin of errors in our estimations. How many observations do we need in order to estimate the population mean for the above cost?

This is n for which M = 1.5. So

[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]

[tex]1.5 = 1.96\frac{12.5}{\sqrt{n}}[/tex]

[tex]1.5\sqrt{n} = 1.96*12.5[/tex]

[tex]\sqrt{n} = \frac{1.96*12.5}{1.5}[/tex]

[tex](\sqrt{n})^2 = (\frac{1.96*12.5}{1.5})^2[/tex]

[tex]n = 266.8[/tex]

Rounding up:

267 observations are needed.

Answer:

x = 4

Step-by-step explanation:

By intersecting tangent and secant theorem:

[tex] {(x + 2)}^{2} = x(x + 5) \\ \\ {x}^{2} + 4x + 4 = {x}^{2} + 5x \\ \\ 4x + 4 = 5x \\ \\ 4 = 5x - 4x \\ \\ 4 = x \\ \\ x = 4[/tex]

Answer:

x = 4

Step-by-step explanation:

When a secant and a tangent are drawn to a circle from a point outside the circle, the lengths are related this way:

The square of the length of the tangent equals the product of the length of the secant and the length of the segment of the secant outside the circle.

(x + 2)² = x(x + 5)

x² + 4x + 4 = x² + 5x

x = 4

Answer:

Step-by-step explanation:

I put incorrect

Second box is 4

And third box is 4

And fourth box is 1/12

Answer:

Gavin is correct

Step-by-step explanation:

2 box is 3

3 box is 1/3

So the answer is 1/9

Answer: Y = -3 and for x = 5

Step-by-step explanation:

You would get this because when you multiply 6 by 5 you get 30 then you multiply 11 by -3 and you get -33 then you add both and -3 then that’s how you find for the value y and can please mark brainly if you do thx and have a good day

Answer:

729 cm^3

Step-by-step explanation:

Delta math

Answer:

(4.1000)+ (2.100) + (7.10)

Answer:

38

Step-by-step explanation:

In the standard direct variation equation, y = kx, k is the constant of proportionality.

Since the equation is y = 38x, it is in the direct variation form.

Using this, 38 is the k value, since it is the coefficient of x.

So, the constant of proportionality (k) is 38.

Answer:

38

Step-by-step explanation:

Answer:

7y² - y + 21

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Distributive Property

Algebra I

Step-by-step explanation:

Step 1: Define

4y - y(3 - 7y) + 5 + 2(8 - y)

Step 2: Simplify

Solution :

Let X denotes the number of the households tha have a cable TV.

Percentage of household that have a cable TV = 85 %

[tex]$X \sim \text{Binomial}(6, 0.85)$[/tex]

Here, we can see that each of the observations is independent and the number of the observations is fixed, n.

The probability of the success P is the same for each of the outcomes.

Therefore,

[tex]P(X=4)= \binom{6}{4}0.85^40.15^2[/tex]

               = 0.08324

Answer:

the anser is d

Step-by-step explanation:

Answer:

b) 7x² - 12x√14 + 72

Step-by-step explanation:

Let's solve the problem,

→ (x√7 - 3√8)(x√7 - 3√8)

→ (x√7 - 3√8)²

→ 7x² - 12x√14 + 72

Hence, option (b) is correct.

Answer:

p ≈ 97 cm

a = 390 cm²

Step-by-step explanation:

First figure out the missing lengths

The triangle on the right is a standard 9 - 12 - 15 right triangle

The triangle in the left is a right isosceles triangle so the sides are both the same 12cm.  The hypotenuse is found using c² = a² + b² and is approx 17 cm

--------------------------

perimeter

p ≈ 12 + 22 + 9 + 15 + 22 + 17

p ≈ 97 cm

Area

a = left triangle + rectangle + right triangle

a = (1/2)(12*12)  + (12*22) + (1/2)(9*12)

a = 390 cm²

Answer:

the answer is 1,2 and 4 hope it helps

Answer:

Option D. 4√2

Step-by-step explanation:

8/√2

The above expression can be simplified as follow:

8/√2

Rationalise the denominator i.e multiply the numerator and the demoninator by √2. This is illustrated below:

8/√2 × (√2/√2)

8 × √2 / √2 × √2

8√2 / 2

4√2

Thus, option D gives the correct answer to the question.

Hey there! :)

Please keep in mind that SOH-CAH-TOA is a life saver when it comes to trig! Where:

- SOH = Sin: opposite over hypotenuse

- CAH = Cos: adjacent over hypotenuse

- TOA = Tan: opposite over adjacent

The question is asking us to find the value of x given the following located in the image provided.

Because we've been given 51°, we'll use this angle to determine whether we're using Sin, Cos, or Tan.

We must now look at the other given variables in this triangle - specifically where they are located.

While looking at our given angle (51°), we see that x is located on the opposite side of 51° while 8 is located adjacent (also known as next) to 51°.

Because of this, we now know that we'll be using Tan (opposite over adjacent) to find the value of x because our given values are opposite and adjacent to 51°.

We now set up our equation to find the value of x:

tan (51°) = [tex]\frac{x}{8}[/tex] ⇒ we set it up this way because x is opposite of 51° & 8 is adjacent to it.

Now, we must remove all fractions. We can do this by multiplying both sides by 8.

8 × tan (51°) = [tex]\frac{x}{8}[/tex] × 8

Now, we simplify.

8 × tan (51°) = x

Now, we plug this into our calculator. Make sure your calculator is in degrees mode since we are using degrees, not radians.

8 × 1.2348 = x

Simplify.

x = 9.9

Therefore, angle x is 9.9

Hope this helped! :)

(Image attached for visual reference)

Answer:

none

Step-by-step explanation:

because the zeros usually intercept with the x-axis and the parabola is nowhere near that! hope it helps!