- Identify the outlier in the data set {12, 15, 20,

Wat is the answer for this question -x2 + 5x + 24.

Helen [10]

Answer:

31

Step-by-step explanation:

5 0

3 years ago

Evaluate the expression.<br> 7.4+6 - 12:4<br><br><br> Plz help me

juin [17]

Answer:

7 . 4 + 6 - 12 : 4 = 31

Step-by-step explanation:

* To solve this problem lets revise the order of operations in

mathematics

- The operations are:

# Addition

# Subtraction

# Multiplication

# Division

# Exponentiation

# Grouping ⇒ Parenthesis or brackets

- The order of these operations is:

# Parenthesis

# Exponents

# Multiplication and Division which comes first from left to right

# Addition and Subtraction which comes first from left to right

- There is a word made from the first letter of each operation

PEMDAS to remember the order of operations

* Lets solve the problem

∵ 7 . 4 + 6 - 12 : 4

∵ The (.) means multiply the numbers

∵ The symbol (:) means divided the numbers

∴ At first multiply 7 by 4 and divide 12 by 4

∴ (7 × 4) + 6 - (12 ÷ 4)

∴ 28 + 6 - 3

∵ Addition comes before subtraction from the left

∴ (28 + 6) - 3

∴ 34 - 3 = 31

∴ 7 . 4 + 6 - 12 : 4 = 31

4 0

3 years ago

An automobile manufacturer has given its car a 46.7 miles/gallon (MPG) rating. An independent testing firm has been contracted t

erastova [34]

Answer:

$z=\frac{46.5-46.7}{\frac{1.1}{\sqrt{150}}}=-2.23$

The p value would be given by:

$p_v =2*P(z$

For this case since th p value is lower than the significance level of0.05 we have enough evidence to reject the null hypothesis and we can conclude that the true mean for this case is significantly different from 46.7 MPG

Step-by-step explanation:

Information given

$\bar X=46.5$ represent the mean

$\sigma=1.1$ represent the population standard deviation

$n=150$ sample size

$\mu_o =46.7$ represent the value to verify

$\alpha=0.05$ represent the significance level for the hypothesis test.

z would represent the statistic

$p_v$ represent the p value

Hypothesis to test

We want to test if the true mean for this case is 46.7, the system of hypothesis would be:

Null hypothesis: $\mu = 46.7$

Alternative hypothesis: $\mu \neq 46.7$

Since we know the population deviation the statistic is given by:

$z=\frac{\bar X-\mu_o}{\frac{\sigma}{\sqrt{n}}}$ (1)

Replacing we got:

$z=\frac{46.5-46.7}{\frac{1.1}{\sqrt{150}}}=-2.23$

The p value would be given by:

$p_v =2*P(z$

For this case since th p value is lower than the significance level of0.05 we have enough evidence to reject the null hypothesis and we can conclude that the true mean for this case is significantly different from 46.7 MPG

7 0

3 years ago

Can someone plz help me solved this problem! I’m giving you 10 points! I need help plz help me! Will mark you as brainiest!

sergeinik [125]

Answer:

a). 8(x + a)

b). 8(h + 2x)

Step-by-step explanation:

a). Given function is, f(x) = 8x²

For x = a,

f(a) = 8a²

Now substitute these values in the expression,

$\frac{f(x)-f(a)}{x-a}$ = $\frac{8x^2-8a^2}{x-a}$

= $\frac{8(x^2-a^2)}{(x-a)}$

= $\frac{8(x-a)(x+a)}{(x-a)}$

= 8(x + a)

b). $\frac{f(x+h)-f(x)}{h}$ = $\frac{8(x+h)^2-8x^2}{h}$

= $\frac{8(x^2+h^2+2xh)-8x^2}{h}$

= $\frac{8x^2+8h^2+16xh-8x^2}{h}$

= (8h + 16x)

= 8(h + 2x)

4 0

3 years ago

Pls help!!! evaluate the function for x=m/4

EastWind [94]

Plug in m/4 into the equation:

$8 (\frac{m}{4})^{2} - 4(\frac{m}{4})$

Solve the parentheses in the equation:

$\frac{m}{4}^{2} = \frac{m}{4} \times \frac{m}{4} = \frac{m^{2}}{16}$
$8 \times \frac{m^{2}}{16} = \frac{8m^{2}}{16} = \frac{m^{2}}{2}$

$4 \times \frac{m}{4} = \frac{4m}{4} = m$

Your equation should now look like this:

$\frac{m^{2}}{2} - m$

The answer is D.

6 0

3 years ago