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Murrr4er [49]
2 years ago
8

A pan of brownies is 7/10 full. Tyreese buys 2/5 of the brownies. What fraction of a whole pan of brownies does Tyreese buy?

Mathematics
1 answer:
Nady [450]2 years ago
5 0
2/5 of 7/10 =7/25 of the whole pan
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Two lengths are in ratio 7:8.if the first length is 273. What amount is the second length
Sergio [31]

Answer:

312

Step-by-step explanation:

Since the ratio is 7:8, mark it as 7x:8x.

Now, they said that the first length is 273. Solve the equation:

7x=273

x=39

Substitute it into 8x. 39*8=312. That's your answer.

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3 0
2 years ago
One half a number decreased by 3 is 21 what is the equation for this statement
Liono4ka [1.6K]

Question:

What is the equation for the following statement,"One-half of a number decreased by 3 is 21.

Answer:

<em>half the number = x/2 </em>

<em>decreased by 3 </em>

<em>(x/2) -3 =21</em>

<em>=48</em>

5 0
3 years ago
Read 2 more answers
Suppose you have rolled a six-sided die fifty times and recorded the result of each roll.
a_sh-v [17]

Using it's concept, it is found that the relative frequency  probability of rolling an even number based on this experiment is \frac{11}{25}.

A relative frequency is the <u>number of desired outcomes divided by the number of total outcomes</u>.

In this problem:

  • 50 dices are thrown, hence T = 50.
  • 22 resulted in an even number, hence D = 22

The <u>relative frequency</u> is given by:

f = \frac{D}{T} = \frac{22}{50} = \frac{11}{25}

A similar problem is given at brainly.com/question/20630951

8 0
2 years ago
Avon Edwards worked 45.5 hours at $5 per hour. He made $100 in tips but no bonuses. Anything over 40 hours is paid time-and-a-ha
posledela

Answer:

1. D

2. B


Step-by-step explanation:

<u>Question 1:</u>

We can get Avon's earnings using the equation  W=HR+1.5VR+B+T

Where W is his earnings

HR is the regular hours (40 hours in this case)

V is overtime hours (hours over 40, 45.5 - 40 = 5.5 hours)

B is bonus (no bonus)

T is tips ( $100 tips, given)

and R is the rate (which is $5 per hour)


<em>Substituting the given info into the equation, we get:</em>

<em>W=HR+1.5VR+B+T\\W=(40)(5)+1.5(5.5)(5)+0+100\\W=341.25</em>


<em>So avon's earnings are $341.25</em>

<em>Answer choice D is right.</em>


<u>Question 2:</u>

The other employee needs to work x hours @ $15 per hour to equate or surpass $428. So we can set up the equation shown below and solve for x:

(15)(x)=428\\x=\frac{428}{15}\\x=28.53

Rounded to 1 decimal place, this is about 28.5 hours

Answer choice B is right.


6 0
2 years ago
Read 2 more answers
In 1990, 1000 adults were randomly selected and each was asked if they smoked, 300
Oduvanchick [21]

Answer:

 The proportion of smokers was higher in 1990 than in 2000

Step-by-step explanation:

Solution

Recall that,

The total number of sample 1 (n1) = 1000

Total  sample 2 number  (n2) = 2000

The number of favourable events (X1) = 300

The number of favourable events (X2) = 500

so,

p₁ = X₁/n₁ = 300/1000 = 0.3

p₂ = X₂/n₂ =500/2000 =0.25

α = 0.05

We are interested in testing the hypothesis.

The  hypothesis (Null) ....>  H₀ : p₁ = p₂

Alternate hypothesis------ > H₁ : p₁ > p₂

Thus,

P = X₁ + X₂/ n₁ + n₂

P =300 + 500/1000 +2000

P =800/3000

=0.2667

Now,

Z₀ = P₁ - P₂/√ P (1 -P) (1/n₁ + 1/n₂)

Z₀ =  0.3 - 0.25/√0.2667  (1 - 0.2667) (1/1000 + 1/2000)

Z₀ = 0.4999999999999999/√ 0.2667 (0.7333000000000001) (0.001 +0.0005)

Then,

Z₀ = 0.4999999999999999/√0.00029335666500000004

Z₀ = 2.9193

so,

zα/2 = z0.05/2 =z0.025

zα/2 = 1.6448536269514722

Now, we apply the decision rule:

Decision Rule: Reject the null hypothesis if the statistic value test is higher than the critical value 1.6448536269514722

The statistic value, 2.9193 is greater than the critical value 1.6448536269514722,  then we will reject the null hypothesis.

Therefore, the proportion of smokers was higher in 1990 than in 2000

3 0
3 years ago
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