PLEASE ANSWER ASAP

The scores of fourth grade students on a mathematics achievement test follow a normal distribution with a mean of 75 and standar

mamaluj [8]

Answer:

The appropriate solution is:

(a) 0.1056

(b) 0

(c) 0.9544

Step-by-step explanation:

The given values are:

Mean,

$\mu = 75$

Standard deviation,

$\sigma = 4$

(a)

⇒ $P(x>80)=1-(x$

$=1-P[\frac{x-\mu}{\sigma}$

$=1-P(z$

By using the table, we get

$=1-0.8944$

$=0.1056$

(b)

According to the question, the values are:

$n$ = 64

$\mu_\bar{x}$ = 75

Now,

⇒ $\sigma_\bar{x}$ = $\frac{\sigma}{\sqrt{n} }$

= $\frac{4}{\sqrt{64} }$

= $\frac{4}{8}$

= $0.5$

⇒ $P(\bar {x} >80 ) = 1 - P(\bar x$

$=1 - P[\frac{(\bar x-\mu_\bar x)}{\sigma \bar x} < \frac{80-75}{0.5} ]$

$=1-P(z$

By using the table, we get

$=1-1$

$=0$

(c)

As we know,

⇒ $\sigma_\bar x$ = $\frac{\sigma}{\sqrt{n} }$

= $\frac{4}{\sqrt{64} }$

= $\frac{4}{8}$

= $0.5$

then,

= $P(74< \bar x$

= $P[\frac{74-75}{0.5} < \frac{\bar x-\mu \bar x}{\sigma \bar x} < \frac{76-75}{0.5} ]$

= $P(-2$

= $P(z$

By using the table, we get

= $0.9772-0.0228$

= $0.9544$

7 0

3 years ago

Which symbol correctly compares these fractions? 3 7 ___ 5 14 < > = ×

GarryVolchara [31]

$\frac{3}{7}$ is more than $\frac{5}{14}$ , because:
$\frac{3}{7}$ = $\frac{6}{14}$
6>5

So, the correct sign for this is >.
Have a great day! ♪

7 0

4 years ago

If 40% of a number is 14, find 20% of that number.

Tom [10]

Answer:

7

Step-by-step explanation:

Because half of 40% is 20%

So 14%2 = 7

5 0

3 years ago

How is budget prepared?

Trava [24]

Step-by-step explanation:

The Budget is prepared through a calculative process between the Finance Ministry and the spending ministries. ... It marks the beginning of the Budget process. It guides ministries and departments for preparing revised estimates (for the past year) and Budget Estimates (for the coming year).

STEP 1: MONEY IN. List your sources of income for the month. ...

STEP 2: MONEY OUT. Next, look back over your last few months of bank statements to help you list all of your monthly expenses. ...

STEP 3: ASSESS THE SITUATION. ...

STEP 4: Using and Maintaining Your Budget.

the above picture. is an example of a budget

8 0

3 years ago

Part of a cheerleading routine is throwing a flyer straight up and catching her on the way down. The flyer begins this move with

umka2103 [35]

Answer:

Step-by-step explanation:

Given that a flyer begins from earth and thrown up with a velocity of 30 ft/sec vertically.

u = initial velocity = 30 : a = -g = 32 ft/sec^2

s(0) =initial height =4 ft.

We have the equation

where u = initial velocity : v= final velocity : s = distance travelled and a = acceleration. Here final velocity is found out as follows

Substitute to get

Since v cannot be negative, the flyer’s center of gravity cannot ever reach 20 feet.

----------------------------------

To reach 25 ft, put s = 25

and v must be atleast 0

Then we have

Hence if thrown with initial velocity of 40 ft /sec, it will reach a height of 25 ft.

6 0

3 years ago