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3 years ago

Bud's baseball team won 3/5 of its games last year. Which numbered response is another way to express this number of wins?

Mathematics

2 answers:

Akimi4 [234]3 years ago

8 0

4. 0.6
Convert 3/5 in to a decimal

sergiy2304 [10]3 years ago

6 0

3/5 times 2 changes to 6/10 which if changed to decimal form is 0.6 so 4 is your answer

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There are a total of 225 pupils in Secondary one. If the number of pupils who pay their school fees through GIRO scheme is 14 ti

asambeis [7]

There are several information's already given in the question. Lat us first write them down and then go for solving the problem.

Total number of pupil <span>in Secondary one = 225
Let us assume the number of pupil who do not pay the school fees through GIRO scheme = x
Then
Number </span>of pupil who pay the school fees through GIRO scheme = 14x
So
x + 14x = 225
15x = 225
x = 15
From the above deduction, it can be concluded that 15 pupil did not join the scheme.

8 0

3 years ago

Estimate the quotient by rounding each number to the nearest whole number. 33.7/ 9.5

GrogVix [38]

Answer: 34/10=3.4 The estimated quotient is 3.4

Step-by-step explanation: Basically, you are dividing 33.7 by 9.5, but first you will need to round to the nearest whole number. A whole number does not contain a decimal. 33.7 rounded to the nearest whole number is 34. 9.5 rounded to the nearest whole number is 10. So, you are dividing 34 by 10. 34 divided by 10 is 3.4.

3 0

3 years ago

stephen and bridget win some money and share it in the ratio 5:2. stephen gets £65. how much does bridget get

katen-ka-za [31]

Answer:

Bridget will get the amount as £26.

Step-by-step explanation:

Given:

Amount Stephen gets = £65

Amount shared in ratio = 5:2

We need to find the amount Bridget gets.

Solution:

Let the common factor in the ratio be $'x'$ .

Amount Stephen gets = $5x$

Amount Bridget gets = $2x$

But we know that;

Amount Stephen gets = £65

so we can say that;

$5x=65$

Now dividing both side by 5 we get;

$\frac{5x}{5}=\frac{65}{5}\\\\x=13$

So now we get;

Amount Bridget gets = $2x=2\times 13 = \£26$

Hence Bridget will get the amount as £26.

3 0

3 years ago

The Municipal Transit Authority wants to know if, on weekdays, more passengers ride the northbound blue line train towards the c

Kitty [74]

Answer:

The 90% confidence interval $-49.8$

The null hypothesis is $H_o : \mu_1 = \mu_2$

The alternative hypothesis $H_a : \mu_1 < \mu_2$

The distribution test statistics is $t = -3.222$

The rejection region is p-value < $\alpha$

The decision rule is reject the null hypothesis

The conclusion is

There is sufficient evidence to conclude that there are more passengers riding the 8:30 train

The p-value is $p-value =0.000951$

Step-by-step explanation:

From the question we are told that

The first sample size $n_1 = 30$

The first sample mean is $\= x _1 = 323$

The first standard deviation is $s_1 = 41$

The second sample size is $n_2 = 45$

The second sample mean is $\=x_2 = 356$

The second standard deviation is $s_2 = 45$

given that the confidence level is 90% then the level of significance is mathematically represented as

$\alpha = (100 -90)\%$

$\alpha = 0.10$

Generally the critical value of $\frac{\alpha }{2}$ obtained from the normal distribution table is

$Z_{\frac{\alpha }{2} } = 1.645$

Generally the pooled variance is mathematically represented as

$s^2 = \frac{(n_1 - 1)s_1^2 + (n_2 -1)s_2^2 }{n_1 + n_2 -2}$

$s^2 = \frac{(30 -1)(41^2) + (45-1)45^2}{30+45 -2}$

$s^2 = 1888.34$

Generally the standard error is mathematically represented as

$SE = \sqrt{\frac{s^2}{n_1} + \frac{s^2}{n_2} }$

=> $SE = \sqrt{\frac{1888.34}{30} + \frac{1888.34}{45} }$

=> $SE = 10.24$

Generally the margin of error is mathematically evaluated as

$E = Z_{\frac{\alpha }{2} } * SE$

$E = 1.645* 10.24$

$E = 16.85$

Generally the 90% confidence interval is mathematically represented as

$\=x_1 -\=x_2 -E < \mu_1 -\mu_2 < \=x_1 -\=x_2 +E$

$323 -356 -16.84$

$-49.8$

The null hypothesis is $H_o : \mu_1 = \mu_2$

The alternative hypothesis $H_a : \mu_1 < \mu_2$

Generally the test statistics is mathematically represented as

$t = \frac{\= x_1 - \=x_2 }{SE}$

=> $t = \frac{323-356}{10.24}$

=> $t = -3.222$

Generally the degree of freedom is mathematically represented as

$df = n_1+n_2 -2$

$df = 30 + 45 -2$

$df = 73$

The p-value is obtained from the student t distribution table at degree of freedom of 73 at 0.05 level of significance

The value is $p-value =0.000951$

Here the level of significance is $\alpha = 5\% = 0.05$

Given that the p-value < $\alpha$ then we reject the null hypothesis

Then the conclusion is

There is sufficient evidence to conclude that there are more passengers riding the 8:30 train

5 0

3 years ago

Angle CMW and angle WML together form angle CML. Angle CMW is a right angle. What must be true about angle CML?

ANTONII [103]

CML must be an obtuse angle.

Since CMW and WML together form CML, and CMW is a right angle, then CML must be larger than a right angle, which makes it obtuse.

3 0

3 years ago