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Ber [7]
3 years ago
9

Perform the operation and reduce the answer fully. 1/10 + 2/9 =

Mathematics
1 answer:
larisa [96]3 years ago
8 0
You need to ensure the denominators are the same. To do this you multiply the denominators together.

1/90 + 2/90

However, this is incorrect, as you need to do the same to the numerators, so for the left hand side you multiplied by 9 and for the right hand side you multiplied by 10, so you must do the same for the numerators.

So it should be:

9/90 + 20/90

You can now add this together, to get:

29/90

This is triple checked so I’m not sure why it says reduce the answer fully as that is as far as it can be reduced.
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As an estimation we are told 5 miles is 8 kilometres. Convert 65 miles to km
aev [14]

Answer:

.

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
Pleaseee help this is urgent!!! I need it in English! Please show all the work ! 14 points
zzz [600]

Answer:

width = 40 feet, length = 90 feet

Step-by-step explanation:

length = 2w + 10

width = w

Perimeter = 260

Perimeter of rectangle = 2length + 2width

Sub the values into that equation:

260 = 2(2w + 10) + 2(w)

260 = 4w + 20 + 2w

260 = 6w + 20

260 - 20 = 6w

240 = 6w

w = 240/6

w = 40

So now we know the width of the garden is 40 feet.

To find the length, substitute the width into the length equation:

length = 2w + 10

length = 2(40) + 10

length = 90 feet

length = 90 feet, width = 40 feet

3 0
3 years ago
Which of these has the largest value?<br><br>A 1¹<br>B 2¹<br>C 2³<br>D 3²<br>​
Anettt [7]
D has the largest value
6 0
3 years ago
Weight gain during pregnancy. In 2004, the state of North Carolina released to the public a large data set containing informatio
pychu [463]

Answer:

1. B. H0: μ1−μ2=0, HA: μ1−μ2≠0

2. z=1.2114

3. P-value=0.2257

4. Do not reject H0

Step-by-step explanation:

We have to perfomr an hypothesis test to see if there is strong evidence that there is a significant difference between the two population means.

The null and alternative hypothesis are:

H_0: \mu_1-\mu_2=0\\\\H_a: \mu_1-\mu_2\neq0

Being μ1 the mean average gain for younger mothers and μ2 the mean average gain for mature mothers.

(NOTE: we are comparing means, not proportions, as it is the random variable is the weight gain).

As we are claiming "strong evidence", the level of significance will be 0.01.

For younger mothers, the sample size is n1=840, the sample mean is 30.7 and  the sample standard deviation is s1=14.91.

For mature mothers, the sample size is n2=132, the sample mean is 29.15 and the sample standard deviation is s2=13.46.

The difference between means is

M_d=\mu_1-\mu_2=30.7-29.15=1.55

The standard error of the difference between means is

s_M=\sqrt{\dfrac{s_1^2}{n_1}+\dfrac{s_2^2}{n_2}}=\sqrt{\dfrac{14.91^2}{840}+\dfrac{13.46^2}{132}}=\sqrt{ 0.2647+1.3725}=\sqrt{1.6372}\\\\\\s_M=1.2795

Then, the statistic can be calculated as:

z=\dfrac{M_d-(\mu_1-\mu_2)}{s_M}=\dfrac{1.55-0}{1.2795}=1.2114

The P-value for this z-statistic in a two tailed test is:

P-value=2P(z>1.2114)=0.2257

As the P-value is greater than the significance level, the null hypothesis failed to be rejected.

There is no enough evidence to claim that the real average weight gain differs from mature and youger mothers.

5 0
3 years ago
Anyone pls help me in qn 11 in simultaneous equations
Nataly [62]

Answer: 19 cents

Step-by-step explanation:

Let's say that the cost of a lemon be L and the cost of an orange is O

We get the equation

4L + 3O = 5.45

7L + 4O = 9.30

The first equation can be made into the equation

28L + 21O = 38.15

And the second be made into

28L + 16O = 37.20

The second equation - The first question

5O = 0.95

O = 0.19

4 0
2 years ago
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