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Natasha2012 [34]

3 years ago

14

A grocery store recently sold 12 cartons of yogurt, of which 2 were peach. if the store sells 18 cartons of yogurt tommorrow, pr

edict how many of the yogurts will be peach.

1 answer:

marusya05 [52]3 years ago

6 0

Tomorrow the grocery store will sell 3 cartons of peach yogurt.

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Matrix A = [6 -12 4 8]. What is matrix X if 1/2x=A?

Step2247 [10]

Answer:

$X = \left[\begin{array}{cccc}12&-24&8&16\end{array}\right]$

Step-by-step explanation:

A matrix is given by

$A = \left[\begin{array}{cccc}6&-12&4&8\end{array}\right]$

Now, we have to find the matrix X if $\frac{1}{2} X = A$

⇒ X = 2A

Now, multiplication of a constant with a matrix means multiplication with that constant with all the terms of the matrix.

So, $X = \left[\begin{array}{cccc}6 \times 2&-12 \times 2&4 \times 2&8 \times 2\end{array}\right]$

⇒ $X = \left[\begin{array}{cccc}12&-24&8&16\end{array}\right]$ (Answer)

4 0

3 years ago

Read 2 more answers

Which graph represents the function f(x) = (x - 5) + 3?

Bogdan [553]

Answer:

It's exponential function, the base is 5.

Horizontal asymptote is y = 0

At x = 0, y = 3

x = 1, y = 15

Step-by-step explanation:

4 0

2 years ago

Read 2 more answers

The director of a state agency believes that the average starting salary for clerical employees in the state is less than $35 c

MrRissso [65]

Answer:

There is not enough evidence to conclude that average starting salary for clerical employees in the state is less than $35,000 per year.

Step-by-step explanation:

We are given the following in the question:

Population mean, μ = 35,000 dollars per year

Sample mean, $\bar{x}$ = 34,700 dollars per year

Sample size, n = 100

Alpha, α = 0.10

Population standard deviation, σ = 3,500 dollars per year

First, we design the null and the alternate hypothesis

$H_{0}: \mu = 35,000\text{ dollars per year}\\H_A: \mu < 35,000\text{ dollars per year}$

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

Formula:

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

Putting all the values, we have

$z_{stat} = \displaystyle\frac{34700 - 35000}{\frac{3500}{\sqrt{100}} } = -0.8571$

Now, $z_{critical} \text{ at 0.10 level of significance } = -1.28$

Since,

$z_{stat} > z_{critical}$

We fail to reject the null hypothesis and accept the null hypothesis.

Thus, there is not enough evidence to conclude that average starting salary for clerical employees in the state is less than $35,000 per year.

3 0

3 years ago

Two siblings set up a lemonade stand. Each half hour, the siblings record the number of cars, X, that pass by and the total amou

Semenov [28]

It’s to prove of the pounds and the congress to put each three out

7 0

2 years ago

8th Grade Math Equation. Please help! I accept any type of help!

muminat

Hello from MrBillDoesMath!

Answer:

Positive x-intercept = + sqrt(3)

Negative x-intercept = - sqrt(3)

Discussion:

Generally, the x-intercept of a function g(x) occurs where g(x) = 0. In our case this is

g(x) = 0 =>

3x^2 - 9 = 0 => (add 9 to both sides of the equation)

3 x^2 = 9 => (divide both sides by 3)

x^2 = 9/3 = 3 =>

x = +\- sqrt (3)

Positive x-intercept = + sqrt(3)

Negative x-intercept = - sqrt(3)

Thank you,

MrB

5 0

3 years ago