Change 3=2x+4 into standard form

A chef plans to mix 100% vinegar with Italian dressing, The Italian dressing contains 8% Vinegar,

kolezko [41]

Answer:

15 mL of 100% vinegar
45 mL of Italian dressing

Step-by-step explanation:

Let v represent the amount of 100% vinegar to be included in the mixture. Then the amount of vinegar in the overall mixture is ...

1.00v + 0.08(60 -v) = 0.31(60)

0.92v = 60(0.23) . . . . . . . collect terms, subtract .08(60)

v = 60(0.23/0.92) = 15 . . . mL of vinegar

60 -v = 45 . . . mL of dressing

15 mL of vinegar and 45 mL of Italian dressing should be used.

3 0

3 years ago

Amanda Vehicle has hired Jared Frost as its new president. Terms included the company’s agreeing to pay retirement benefits of $

vampirchik [111]

The amount needed in the account when Frost retires is given by the annuity formula. Compounding is 2 times per year.
.. A = Pi/(n(1 -(1 +r/n)^(-nt)))
.. 17900 = P*.08/(2*(1 -(1 +.08/2)^(-2*12)))
.. 17900 = P*.04/(1 -(1.04^-24))
.. P ≈ 272,920.64

The compound interest formula can be used to find the present value required. 4015 days is 11 years (ignoring leap years), so the amount to deposit can be calculated from
.. A = P*(1 +r/n)^(nt)
.. 272,920.64 = P*(1 +.08/2)^(2*11) = P*1.04^22
.. P ≈ 115,160.33

We don't know about the company's obligation to Robert. To fulfill its obligation to Frost, it must deposit 115,160.33 today.

8 0

2 years ago

Check whether <br><img src="https://tex.z-dn.net/?f=%20%5Cfrac%7B4%7D%7B5%7D%20" id="TexFormula1" title=" \frac{4}{5} " alt=" \f

steposvetlana [31]

Answer:

Non terminating

Step-by-step explanation:

4/5=0.8 so non terminating

Hope this helps :D

6 0

2 years ago

Write a quadratic equation to represent a function with the vertex (-4, 1)

pishuonlain [190]

Answer:

y=a(x+4)^2 +1, for a real number a hat is different of 0.

Step-by-step explanation:

If we know only the vertex, there are many quandratic equations.

* Result: Vertex (m,n), the quadratic equation is y= a(x-m)^2 + n for a real number a that is different of 0.

Here, the vertex (-4,1), we have the equation: y=a(x+4)^2 +1, for a real number a hat is different of 0.

Hope you understand.

6 0

3 years ago

P(X< ) 1-P(X> ) A softball pitcher has a 0.626 probability of throwing a strike for each curve ball pitch. If the softball

Mashutka [201]

Answer:

19.49% probability that no more than 16 of them are strikes

Step-by-step explanation:

Binomial probability distribution

Probability of exactly x sucesses on n repeated trials, with p probability.

Can be approximated to a normal distribution, using the expected value and the standard deviation.

The expected value of the binomial distribution is:

$E(X) = np$

The standard deviation of the binomial distribution is:

$\sqrt{V(X)} = \sqrt{np(1-p)}$

Normal probability distribution

Problems of normally distributed samples can be solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

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 pvalue, we get the probability that the value of the measure is greater than X.

When we are approximating a binomial distribution to a normal one, we have that $\mu = E(X)$ , $\sigma = \sqrt{V(X)}$ .