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2 years ago

Last week caroline worked 8 hours each day and she worked 5 days that week she earned $440 pounds so per hour she earned £11

Mathematics

1 answer:

IRISSAK [1]2 years ago

5 0

Answer:

30%

Step-by-step explanation:

this week:

4 × 7 = 28 hours

earns: 28 × 11 = £308

reduction: 440 - 308 = 132

% reduction

132/440 × 100

30%

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The ratio of strawberries to bananas in a smoothie recipe are shown in the graph below.

dedylja [7]

Answer: The last table is the correct answer.

Step-by-step explanation: The ratio is 6 strawberries to 1 banana.

3 0

3 years ago

48% of what number is 108? A. 44.4 B. 51.84 C. 225 D. 5184

Ivan

Let the number = x.

48% of x = 108

(48/100)x = 108

x = 108 * 100 /48 = 225 use your calculator.

Answer is option C.

8 0

3 years ago

Read 2 more answers

2. Four less than six times a number is 32. Write and solve an equation.

zhenek [66]

Answer:

6x - 4 = 32. The variable (times a number) is equal to 6.

Step-by-step explanation:

So this equation is basically asking you to formulate an equation using only the words given. For this equation, let's use a variable in place of the part where it says "times a number." When a question says that phrase, that means that they are telling you to use a variable in place of a mystery number. A variable is a letter in place of a mystery number. Knowing this, let's now solve the equation. We will use the variable x in place of our mystery number.

Four less than 6 times a number: 6x - 4 _ __.

Now we can add the equal sign and the 32: 6x - 4 = 32.

We can now solve. Add 4 to both sides of the equation to cancel out the -4:

6x - 4 = 32

6x = 36

Now we divide 6 into both sides of the equation to single out the x.

6 6

36/6 = 6, so:

x = 6

I hope that this helps.

8 0

2 years ago

Write 6:15 in ratio form

Rufina [12.5K]

6:15 is in ratio form..... If you mean fraction form, a ratio is equivalent to a fraction, so the answer is 6/15

7 0

2 years ago

Suppose that administrators at a large urban high school want to gain a better understanding of the prevalence of bullying withi

boyakko [2]

Answer:

lower limit =0.261

upper limit =0.369

Step-by-step explanation:

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".

The margin of error is the range of values below and above the sample statistic in a confidence interval.

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

Description in words of the parameter p

$p$ represent the real population proportion of people that have experienced bullying

X= 63 people in the random sample that have experienced bullying

n=200 is the sample size required

$\hat p=\frac{63}{200}=0.315$ represent the estimated proportion of people that have experienced bullying

$z_{\alpha/2}$ represent the critical value for the margin of error

The population proportion have the following distribution

$p \sim N(p,\sqrt{\frac{p(1-p)}{n}})$

Numerical estimate for p

In order to estimate a proportion we use this formula:

$\hat p =\frac{X}{n}$ where X represent the number of people with a characteristic and n the total sample size selected.

$\hat p=\frac{63}{200}=0.315$ represent the estimated proportion of people that they were planning to pursue a graduate degree

Confidence interval

The confidence interval for a proportion is given by this formula

$\hat p \pm z_{\alpha/2} \sqrt{\frac{\hat p(1-\hat p)}{n}}$

For the 90% confidence interval the value of $\alpha=1-0.90=0.1$ and $\alpha/2=0.05$ , with that value we can find the quantile required for the interval in the normal standard distribution.