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3 years ago

HELP ME PLEASE!!! VERY IMPORTANT!!!

Mathematics

1 answer:

nalin [4]3 years ago

5 0

Add up all the sides.
Answer: 8x2+13y
Step by step: x+9y+8x2-x+4y
x+13y+8x2-x (x-x cancels x)
(put everything in order) 8x2+13y

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In a recent Dunkin Donuts (DD) commercial, it states that 58% of Americans prefer to drink their coffee. Of the five hundred ran

Sergio [31]

Answer:

We conclude that the proportion of Americans who prefer to drink DD coffee is actually more than what was advertised.

Step-by-step explanation:

We are given that in a recent Dunkin Donuts (DD) commercial, it states that 58% of Americans prefer to drink their coffee.

Of the five hundred randomly selected people who were asked if they preferred DD coffees, 325 said they did.

Let p = proportion of Americans who prefer to drink DD coffee

SO, Null Hypothesis, $H_0$ : p $\leq$ 58% {means that the proportion of Americans who prefer to drink DD coffee is actually less than or equal to what was advertised}

Alternate Hypothesis, $H_A$ : p > 58% {means that the proportion of Americans who prefer to drink DD coffee is actually more than what was advertised}

The test statistics that will be used here is One-sample z proportion statistics;

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

where, $\hat p$ = sample proportion of people who prefer to drink DD coffee in a sample of 500 people = $\frac{325}{500}$ = 65% or 0.65

n = sample of people = 500

So, test statistics = $\frac{0.65-0.58}{{\sqrt{\frac{0.65(1-0.65)}{500} } } } }$

= 3.282

Now at 0.05 significance level, the z table gives critical value of 1.6449 for right-tailed test. Since our test statistics is more than the critical value of z so we have sufficient evidence to reject our null hypothesis as it will fall in the rejection region.

Therefore, we conclude that the proportion of Americans who prefer to drink DD coffee is actually more than what was advertised.

6 0

3 years ago

Can someone help me please??

vodka [1.7K]

Answer:

11,4 > 11 > 9,8 > 1

Step-by-step explanation:

To list the numbers from smallest to largest we need to determine the value of them in same/similar format

11 and 1 is in same format

The approximate value of $\pi ^{2}$ 9.8

the root of $\sqrt{121}$ = 11

the root of $\sqrt{130}$ is = 11.4 approximately

Now we have them as real numbers we can evaluate

11,4 > 11 > 9,8 > 1 we don't need to write 11 twice but if needed we can write is as:

11,4 > 11 = 11 > 9,8 > 1

3 0

3 years ago

Winton wants to find the volume of a cube. He uses the formula for volume of a cube V = s to the power of 3 where s is the lengt

VARVARA [1.3K]

Answer:

Answer: 0.125 cm^3

8 0

3 years ago

marlee spins a spinner and rolls 1-6 # cube. the spinner has 5 equal parts # 1-5 . what is the probability she will spin an even

forsale [732]

The events are independant (i.e. what she rolls on the cube has no impact on how the spinner works). The probability of two independant events is given by:

$P_t = P_{cube} \times P_{spin}$

For the cube, 1/2 the numbers meet our requitment of being even, so:
$P_{cube} = \frac{Desired}{Total} = \frac{even}{total} = \frac{3}{6} =\frac{1}{2}$

For the spinner, there are 3 odds out of 5 (1, 3 & 5) so:
$P_{spin} =\frac{Desired}{Total} = \frac{odd}{total} = \frac{3}{5}$

and then:
$P_T = P_{cube} \times P_{spin}$
$P_T =\frac{1}{2} \times \frac{3}{5}$
$P_T =\frac{3}{10}$

6 0

4 years ago

-3.75+2(-4x+6.1)-3.25

Pani-rosa [81]

The value of x is 0.65

Step-by-step explanation:

This solution is given by solving the given problem using BODMAS rule.

This means that the steps to be followed to find the solution should be in the order of BODMAS rule.

B- Bracket, O- of, D- Division, M- Multiplication, A- Addition, S- Subtraction.

This rule states that the 1st operation must be done for Brackets.

⇒ -3.75+2(-4x+6.1)-3.25 = 0

⇒ -3.75 -8x + 12.2 -3.25 = 0

The addition operation should be performed next and then followed by subtraction.

⇒ -8x -7+ 12.2 = 0

To find the value of x :

Keeping the x term alone on one side and moving the constants on other side,

⇒ -8x = -12.2 + 7

⇒ -8x = -5.2

⇒ x = 5.2/8

⇒ x = 0.65

3 0

3 years ago