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2 years ago

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A restaurant used 8.4 ounces of cheese to make 4 slices of pizza. If each slice had the same amount of cheese, how much cheese w

as on each slice?

2 answers:

zhannawk [14.2K]2 years ago

7 0

2.1 ounces were on each slice

ch4aika [34]2 years ago

6 0

2.1 ounces of cheese on each slice

Explanation:
8.4 / 4 = 2.1

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The mini muffins company bakes 1872 muffins the large mini muffin boxes hold a dozen muffins how many large boxes are needed to

lilavasa [31]

Answer:

To pack 1872 muffins the mini muffins company needs 156 large boxes.

Step-by-step explanation:

Number of muffins baked by the mini muffins company = 1872.

the large mini muffin boxes hold a dozen muffins that is the large box contains 12 muffins.( 1 Dozen = 12 )

We have to find the number of large boxes needed to pack 1872 muffins.

Using unitary method,

12 muffins is contained in 1 large box.

1 muffin is contained in $\frac{1}{12}$ large box.

1872 muffins contained in $\frac{1}{12} \times 1872=156$ large boxes.

Hence, To pack 1872 muffins the mini muffins company needs 156 large boxes.

6 0

2 years ago

Consider the quadratic function.

goblinko [34]

A standard form for the quadratic function is
f(x) = ax² + bx + c
where the coefficients are a,b, and c.

The given quadratic function is
f(p) = p² - 8p - 5
When this function is compared to the standard form, with p replacing x, we obtain
a = 1 because the leading term is 1*p²,
b = -8 because the linear term is -8*p,
c = -5 because the constant term is -5.

Answer:
Of the answers given the correct one is the 3rd one:
a = 1, b = -8, c = -5.

4 0

2 years ago

A probability calculator is required on this problem; answer to six decimal places. Suppose we will spin the wheel pictured 400

KiRa [710]

Answer:

$P(90< X< 110)= P(\frac{90-80}{8}$

And we can find this probability with this difference:

$P(90< X< 110)=P(z$

And we can find the real value with the following excel code using the binomial distribution:

"=BINOM.DIST(110,400,0.2,TRUE)-BINOM.DIST(89,400,0.2,TRUE)"

And we got 0.118 a very close value from the value obtained using the normal approximation

Step-by-step explanation:

Previous concepts

The binomial distribution is a "DISCRETE probability distribution that summarizes the probability that a value will take one of two independent values under a given set of parameters. The assumptions for the binomial distribution are that there is only one outcome for each trial, each trial has the same probability of success, and each trial is mutually exclusive, or independent of each other".

Let X the random variable of interest, on this case we now that:

$X \sim Binom(n=400, p=0.2)$

The probability mass function for the Binomial distribution is given as:

$P(X)=(nCx)(p)^x (1-p)^{n-x}$

Where (nCx) means combinatory and it's given by this formula:

$nCx=\frac{n!}{(n-x)! x!}$

We need to check the conditions in order to use the normal approximation.

$np=400*0.2=80 \geq 10$

$n(1-p)=400*(1-0.2)=320 \geq 10$

So we see that we satisfy the conditions and then we can apply the approximation.

If we appply the approximation the new mean and standard deviation are:

$E(X)=np=400*0.2=80$

$\sigma=\sqrt{np(1-p)}=\sqrt{400*0.2(1-0.2)}=8$

So then we can approximate the random variable as $X \sim N(\mu = 80, \sigma = 8)$

And we want this probability:

$P(90< X< 110)$

We can use the z score formula given by:

$z = \frac{x -\mu}{\sigma}$

And replacing we got:

$P(90< X< 110)= P(\frac{90-80}{8}$

And we can find this probability with this difference:

$P(90< X< 110)=P(z$

And we can find the real value with the following excel code using the binomial distribution:

"=BINOM.DIST(110,400,0.2,TRUE)-BINOM.DIST(89,400,0.2,TRUE)"

And we got 0.118 a very close value from the value obtained using the normal approximation

8 0

2 years ago

A researcher in environmental science is conducting a study to investigate the impact of a particular herbicide on fish. He has

Vedmedyk [2.9K]

Answer:

The herbicide has no impact on fish

Step-by-step explanation:

Experimental research includes to divide the concerned group 'fishes' here into 'treatment' & 'control' group, to study impact of a treatment. Hypothesis test the statistical significance of propositions. Null hypothesis signifies no impact, alternate hypothesis signifies impact.

Let averages enzyme level of treatment & control be Xt & Xc

Null Hypothesis [H0] : Xt = Xc, or Xt - Xc = 0
Alternate Hypothesis [H1] : Xt ≠ Xc, or Xt - Xc ≠ 0

If hypothesis test suggests that there is no significant difference between treatment & control group enzyme level, so we reject H0 & accept H1. It implies that the herbicide has no significant impact on fishes enzymes.

8 0

2 years ago

Which expression represents the lateral surface area of the cone?

Brrunno [24]

Answer:

Option "3" is the correct answer to the following question:

Step-by-step explanation:

Given:

Radius of cone (r) = 6 centimeter

height of cone (h) = 8 centimeter

slant height of cone (l) = 10 centimeter

Find:

Lateral surface area of the cone = ?

Computation:

⇒ Lateral surface area of the cone = $\pi$ rl

⇒ Lateral surface area of the cone = $\pi$ (6 centimeters) (10 centimeters)

⇒ Therefore, option "3" is the correct answer.

3 0

2 years ago