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Lerok [7]
3 years ago
7

Deon has $600 in his saving account

Mathematics
1 answer:
Harlamova29_29 [7]3 years ago
6 0

Answer:

30 months total

Step-by-step explanation:

15+5=20

600÷20=30

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expeople1 [14]

Answer:

4 bags

Step-by-step explanation:

The way to read a step and leaf diagram is to consider the "stem" as the tens digit and "leaf" ans the ones digit.

So "0" in stem and "5" in leaf would be the number "05" or simply "5"

Also, "2" in stem and "4" in leaf would be the number "24"

When we have more numbers in leaf, they are basically different numbers. So lets list the numbers from stem-and-leaf plot:

5, 24, 30, 34, 65, 70, 74, 87, 90

The question asks for how many numbers are there LESS THAN 40?

the numbers less than 40 are:

5, 24, 30, 34

That is 4 numbers

4 0
4 years ago
Sin2A-sin2B+sin2C=4cosA×sinB×cosC<br>​
Hoochie [10]

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Step-by-step explanation:

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3 0
3 years ago
Which graph represents the function f(x) = |-x - 2|-1?<br> -6-
Solnce55 [7]

Answer:

it is the third one

Step-by-step explanation:

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3 0
2 years ago
Michael is an art elective programme student who
Elena L [17]

Answer:

Step-by-step explanation:

find the prime factors of given numbers:

126= 2*3*3*7- this side can be cut into any number here or combination of numbers as per factors

108= 2*2*3*3*3 - same as above

As per prime factors, the squares can be of  sizes:

2×2, 3×3, 6×6, 9×9 and 18×18

The least number can be obtained with the biggest size option 18×18, this will give 7*6=42 square

4 0
2 years ago
A sample of 200 observations from the first population indicated that X1 is 170. A sam- ple of 150 observations from the second
nikitadnepr [17]

Answer:

a. If the P-value is smaller than the significance level, the null hypothesis is rejected.

b. Pooled proportion = 0.8

c. z = 2.7

d. As the P-value (0.0072) is smaller than the significance level (0.05), the null hypothesis is rejected.

There is enough evidence to support the claim that the proportions differ significantly.

Step-by-step explanation:

This is a hypothesis test for the difference between proportions.

We will use the P-value approach, so the decision rule is that if the P-value is lower than the significance level, the null hypothesis is rejected.

The claim is that the proportions differ significantly.

Then, the null and alternative hypothesis are:

H_0: \pi_1-\pi_2=0\\\\H_a:\pi_1-\pi_2\neq 0

The significance level is 0.05.

The sample 1, of size n1=200 has a proportion of p1=0.85.

p_1=X_1/n_1=170/200=0.85

The sample 2, of size n2=150 has a proportion of p2=0.7333.

p_2=X_2/n_2=110/150=0.7333

The difference between proportions is (p1-p2)=0.1167.

p_d=p_1-p_2=0.85-0.7333=0.1167

The pooled proportion, needed to calculate the standard error, is:

p=\dfrac{X_1+X_2}{n_1+n_2}=\dfrac{170+110}{200+150}=\dfrac{280}{350}=0.8

The estimated standard error of the difference between means is computed using the formula:

s_{p1-p2}=\sqrt{\dfrac{p(1-p)}{n_1}+\dfrac{p(1-p)}{n_2}}=\sqrt{\dfrac{0.8*0.2}{200}+\dfrac{0.8*0.2}{150}}\\\\\\s_{p1-p2}=\sqrt{0.0008+0.00107}=\sqrt{0.00187}=0.0432

Then, we can calculate the z-statistic as:

z=\dfrac{p_d-(\pi_1-\pi_2)}{s_{p1-p2}}=\dfrac{0.1167-0}{0.0432}=\dfrac{0.1167}{0.0432}=2.7

This test is a two-tailed test, so the P-value for this test is calculated as (using a z-table):

P-value=2\cdot P(z>2.7)=0.0072

As the P-value (0.0072) is smaller than the significance level (0.05), the effect is significant.

The null hypothesis is rejected.

There is enough evidence to support the claim that the proportions differ significantly.

6 0
3 years ago
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