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3 years ago

Selection all equations that are true given the diagram below.

Mathematics

1 answer:

statuscvo [17]3 years ago

6 0

Answer:

Opition A I just did it

Step-by-step explanation:

I LIKE YA CUT G

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The sum of a positive number and 56 times its reciprocal is equal to its cube. What is the number?

cricket20 [7]

Answer:

2×sqrt(2) = 2.828427125...

Step-by-step explanation:

x = "a positive number"

x + 56/x = x³

x² + 56 = x⁴

x⁴ - x² - 56 = 0

(x² + 7)(x² - 8) = 0

this is true only for

x² = -7

x² = 8

x² = -7 would mean that x is an imaginary number. so, that is not a valid solution here.

x² = 8 means

x = sqrt(8) = sqrt(4×2) = 2×sqrt(2) = 2.828427125...

7 0

2 years ago

At a snack stand, Nathan buys 2 sodas and 1 snack and spends $5. Olivia

OLga [1]

Answer:

the soda's are one$

and the snacks are three$

7 0

3 years ago

MIDTERM HELP PLEASE I LEGIT DON’T UNDERSTAND THIS STUFF.

Leno4ka [110]

Answer:

1. (5,-8)

2. (7, -11)

3. 7 lines

4. (2,-8)

5. x = 15

Step-by-step explanation:

1. for translation over y=x you need to switch what is negative and what is positive

2. You add whatever number is said to be added to X and whatever number is said to be added to Y.

3. A regular heptagon has 7 equal sides so it has 7 lines of symmetry.

4. For over the x-axis you make the y negative (or if it is already negative you make it positive) you do the opposite for over the y-axis

5. When you have a mid-segment you take one side, 9 and 6, and you divide 9 by 6. You get 1.5, you then take 1.5 and multiply it by 10, that leaves you with 15

I hope I helped!

4 0

3 years ago

Evaluate the equation: a + 1.23 = 3.6

Kobotan [32]

B. a = 2.37

Hope it helps!

4 0

3 years ago

A recent national survey found that high school students watched an average (mean) of 7.2 movies per month with a population sta

VladimirAG [237]

Answer:

1. Option A

2. Option D) Reject null hypothesis if z < –1.645

3. z = -4.90

4. P-value = 0.00001

Step-by-step explanation:

We are given the following in the question:

Population mean, μ = 7.2

Sample mean, $\bar{x}$ = 6.5

Sample size, n = 49

Alpha, α = 0.05

Population standard deviation, σ = 1.0

a) First, we design the null and the alternate hypothesis

$H_{0}: \mu \geq 7.2\text{ movies per month}\\H_A: \mu < 7.2\text{ movies per month}$

Option A) is the correct answer

We use one-tailed(left) z test to perform this hypothesis.

c) Formula:

$z_{stat} = \displaystyle\frac{\bar{x} - \mu}{\frac{\sigma}{\sqrt{n}} }$

Putting all the values, we have

$z_{stat} = \displaystyle\frac{6.5 - 7.2}{\frac{1}{\sqrt{49}} } = -4.90$

b) Now, $z_{critical} \text{ at 0.05 level of significance } = -1.645$

Rejection rule:

If calculated z-statistic is less than the critical z-value, we reject the null hypothesis.

Option D) Reject null hypothesis if z < –1.645

d) Now, we calculate the p-value with the help of standard normal table.

P-value = 0.00001

Since the p-value is lower than the significance level, we fail to accept the null hypothesis and reject it.We accept the alternate hypothesis.

We conclude that the college students watch fewer movies a month than high school students.

6 0

3 years ago