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3 years ago

6

An item with an original price p dollars is on sale at 30% discount. Which expression is not equivalent to the price of the item

with the discount?

1 answer:

exis [7]3 years ago

4 0

Answer:

p+_(n) + 70%

Step-by-step explanation:

finished

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Members of a soccer team suspect the coin used for the coin toss at the beginning of their games is unfair. They believe it turn

Vilka [71]

Answer:

The p-value is 0.0013. He should reject the null in favor of the alternative.

Step-by-step explanation:

We are given that Members of a soccer team suspect the coin used for the coin toss at the beginning of their games is unfair. They believe it turns up tails less often than it should if it were fair.

The coach of the team decides to flip the coin 100 times and count the number of tails. His trial results in 35 tails.

Let p = <u><em>proportion of occurrence of tail.</em></u>

SO, Null Hypothesis, $H_0$ : p = 0.50 {means that it turns up tails equal to that it should if it were fair}

Alternate Hypothesis, $H_A$ : p < 0.50 {means that it turns up tails less often than it should if it were fair}

The test statistics that would be used here <u>One-sample z-test for proportions;</u>

T.S. = $\frac{\hat p-p}{\sqrt{\frac{ p(1-p)}{n} } }$ ~ N(0,1)

where, $\hat p$ = sample proportion of tails occurrence = $\frac{35}{100}$ = 0.35

n = sample of trails = 100

So, <u><em>the test statistics</em></u> = $\frac{0.35-0.50}{\sqrt{\frac{0.50(1-0.50)}{100} } }$

= -3

The value of z test statistics is -3.

Also, P-value of the test statistics is given by;

P-value = P(Z < -3) = 1 - P(Z $\leq$ 3)

= 1 - 0.9987 = <u>0.0013</u>

Since, the P-value of test statistic is less than the level of significance as 0.0013 < 0.01, so we have sufficient evidence to reject our null hypothesis as it will fall in the rejection region due to which <em><u>we reject our null hypothesis</u></em>.

Therefore, we conclude that it turns up tails less often than it should if it were fair.

4 0

3 years ago

What percent of 84 is 12?

solmaris [256]

Divide the part by the whole. The whole is 84 and the part of the whole is 12.
So
12 / 84 = .14
Which is 14%.

7 0

3 years ago

Read 2 more answers

Solve this equation using order and operations:

exis [7]

Answer:

(1680)

Step-by-step explanation:

Simplify the following:

3 (10 (6 + 2 (22 + 8) - 10))

| 1 |

| 2 | 2

+ | | 8

| 3 | 0:

3 (10 (6 + 2×30 - 10))

2×30 = 60:

3 (10 (6 + 60 - 10))

6 + 60 = 66:

3 (10 66 - 10)

| 6 | 6

- | 1 | 0

| 5 | 6:

3 (10×56)

10×56 = 560:

3 (560)

3 (560) = (3×560):

(3×560)

3×560 = 1680:

Answer: (1680)

5 0

3 years ago

Katrina is building a deck. She cuts 3 lengths of wood from a 72-inch board. The first length is 30 3.4 inches. The second lengt

stich3 [128]

Common denominators!

<span>If you have to add... 3 fractions with 4 as the denominators: </span>
<span>Then you can combine the numerators: </span>

<span>a/c+ b/c = (a+b)/c and a/d + b/d + c/d = (a+b+c)/d </span>

<span>Let's plug in the numbers.</span>

<span>a=3, b=1, c=1, d =4 </span>
<span>3/4 + 1/4 + 1/4 = 5/4 or 1 1/4! </span>

<span>So the equation for the problem: </span>

<span>Lt = L1+ L2 + L3 + L4 or </span>
<span>L4 = Lt - L1 - L2 - L3 Plug in the numbers </span>

<span>L4 ( remains ) = L total, 72 - L1 ( first cut at 30 3/4 ) - L2 ( second cut 12 1/4 ) - L3 ( 16 1/4 ) </span>

<span>So 72 - 30 - 12 - 16 - 3/4 - 1/4 - 1/4 =? </span>
<span>( break this down into simple terms and do it in your head... </span>

<span>72 - 30 = 42, 42 - 21 = 30, 30 - 16 = 14, 14 - 3/4 = 13 1/4 - 1//4 = 13 - 1/4 = 12 3/4!</span>

8 0

3 years ago

A tree with a height of 4 ft casts a shadow 15ft long on the ground how tall is another tree that cast a shadow which is 20ft lo

wariber [46]

Height of another tree that cast a shadow which is 20ft long is 5 feet approximately

<h3><u>Solution:</u></h3>

Given that tree with a height of 4 ft casts a shadow 15ft long on the ground

Another tree that cast a shadow which is 20ft long

<em><u>To find: height of another tree</u></em>

We can solve this by setting up a ratio comparing the height of the tree to the height of the another tree and shadow of the tree to the shadow of the another tree

$\frac{\text {height of tree}}{\text {length of shadow}}$

Let us assume,

Height of tree = $H_t = 4 feet$

Length of shadow of tree = $L_t = 15 feet$

Height of another tree = $H_a$

Length of shadow of another tree = $L_a = 20 feet$

Set up a proportion comparing the height of each object to the length of the shadow,

$\frac{\text {height of tree}}{\text {length of shadow of tree}}=\frac{\text { height of another tree }}{\text { length of shadow of another tree }}$

$\frac{H_{t}}{L_{t}}=\frac{H_{a}}{L_{a}}$

Substituting the values we get,

$\frac{4}{15} = \frac{H_a}{20}\\\\H_a = \frac{4}{15} \times 20\\\\H_a = 5.33$

So the height of another tree is 5 feet approximately

8 0

3 years ago