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3 years ago

The sum of z and 7 algebraic expression

Mathematics

1 answer:

snow_tiger [21]3 years ago

6 0

Step-by-step explanation:

The algebraic expression for The sum of z and 7 algebraic expression is given as:

z + 7

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Evaluate the following expression.

Charra [1.4K]

It should be 58. I’m sorry if I’m wrong!!

5 0

3 years ago

Determine the value of a, b, and c for the quadratic equation: 4x2- 8x = 3

Rufina [12.5K]

Answer:

B. a = 4, b = -8, c = -3

Step-by-step explanation:

The quadratic equation given is:

$4x^2- 8x = 3$

The general form of a quadratic equation is given as:

$ax^2 + bx +c = 0$

Let us put the given equation in this form and then compare with the general form of the quadratic equation.

$4x^2- 8x = 3\\\\4x^2 - 8x - 3 = 0$

Therefore, by comparing:

a = 4

b = -8

c = -3

The correct option is B

4 0

4 years ago

The diameters of aluminum alloy rods produced on an extrusion machine are known to have a standard deviation of 0.0001 in. A ran

Murljashka [212]

Complete Question

The complete question is shown on the first uploaded image

Answer:

The null hypothesis is rejected this means that $\mu \ne 0.5025$

The 95% confidence interval is $0.5045608 < \mu < 0.5046392$

Step-by-step explanation:

From the question we are told that

The standard deviation is s= 0.0001

The sample size is n = 25

The sample mean is $\= x = 0.5046 \ in$

The population mean is $\mu = 0.5025 \ in$

The null hypothesis is $H_o : \mu = 0.5025$

The alternative hypothesis is $H_a : \mu \ne 0.5025$

The test statistics is mathematically represented as

$t = \frac{0.5046 - 0.5025}{ \frac{0.0001}{\sqrt{25} } }$

$t = 105$

So the p-value from the z-table is mathematically represented as

$p-value = 2 * P( z > 105)$

$p-value = 0.000$

seeing that

$p-value < \alpha$ we reject the null hypothesis

The critical value of

$\frac{\alpha }{2}$ obtained from the normal distribution table is

$Z_{\frac{\alpha }{2} } = 1.96$

The margin of error is mathematically represented as

$E = Z_{\frac{\alpha }{2} }*\frac{s}{\sqrt{n} }$

=> $E = 1.96 *\frac{0.0001}{\sqrt{25} }$

=> $E =3.92 *10^{-5}$

The 95% confidence level is mathematically represented as

$\= x - E < \mu < \= x + E$

=> $0.5046 - 3.92 *10^{-5} < \mu < 0.5046 + 3.92 *10^{-5}$

=> $0.5045608 < \mu < 0.5046392$

8 0

3 years ago

Is the average grade of an English class rose from 70 to 85 what is the approximate percent increase

tia_tia [17]

The approximate percent increase in the average grade is 21.43%.

<h3>What is the percentage increase?</h3>

Percentage is a measure of frequency that expresses a number as a value out of hundred. The sign used to denote percentage is%.

Percentage increase = (new grade / initial grade) - 1

(85 / 70) - 1 = 0.2143 = 21.43%

To learn more about percentages, please check: brainly.com/question/25764815

#SPJ1

5 0

3 years ago

A bag contains 10 counters six of them are white account was taken at random and not replaced second kind was taken out of the b

skelet666 [1.2K]

Correct question is;

A bag contains 10 counters. 6 of them are white. A counter is taken at random and not replaced. A second counter is taken out of the bag at random. Calculate the probability that only one of the two counters are white

Answer:

probability that only one of the two counters is white = 8/15

Step-by-step explanation:

To solve this question, first of all, let's look at probability we would have to either draw two white counters or two non-white counters (4/10 * 3/9).

Probability(draw 2 white counters) = (6/10 × 5/9) = 30/90 = 1/3

Probability(draw 2 non-white counters) = (4/10 × 3/9) = 2/15

Now, In all other cases, we'll draw exactly one white and one non-white counter, so the odds of this would be;

P(one white counter and one non-white counter) = 1 - [1/3 + 2/15)

= 1 - 7/15 = 8/15

7 0

4 years ago