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alexandr1967 [171]
2 years ago
5

Joan is 5 years older than Ellen, and 3 years ago their sum of their ages is 17, in how many years will Joan be 21?

Mathematics
1 answer:
mariarad [96]2 years ago
5 0

Answer:

7

Step-by-step explanation:

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miss Evans earns £240 per week. she is awarded a pay rise of 3.5% how much does she earn each week after her rise?
KatRina [158]

Assuming that 3.5% is the increase in pay each week, she will get paid $248.40 each week.

You would find this in this manner :   $240 * 3.5%

change the percent to a decimal 0.035 then multiply $240 by 0.035 that give you $8.40

add $8.40 to $240 =  $248.40



5 0
3 years ago
A simple random sample of size n = 200 drivers were asked if they drive a car manufactured in a certain country. Of the 200 driv
insens350 [35]

Answer:

Null hypothesis: H0 = 0.50

Alternative hypothesis: Ha > 0.50

z = 1.414

P value = P(Z<-3.16) = 0.0787

Decision: not enough evidence to reject the null hypothesis. Accept null hypothesis.

Not more than half of all drivers drive a car made in this country

Rule

If;

P-value > significance level --- accept Null hypothesis

P-value < significance level --- reject Null hypothesis

Z score > Z(at 95% confidence interval) ---- reject Null hypothesis

Z score < Z(at 95% confidence interval) ------ accept Null hypothesis

Step-by-step explanation:

Given;

n= 200 represent the random sample taken

Null hypothesis: H0 = 0.50

Alternative hypothesis: Ha > 0.50

Test statistic z score can be calculated with the formula below;

z = (p^−po)/√{po(1−po)/n}

Where,

z= Test statistics

n = Sample size = 200

po = Null hypothesized value = 0.50

p^ = Observed proportion = 110/200 = 0.55

Substituting the values we have

z = (0.55-0.50)/√{0.50(1-0.50)/200}

z = 1.414

z = 1.414

To determine the p value (test statistic) at 0.05 significance level, using a one tailed hypothesis.

P value = P(Z>1.414) = 0.0787

Since z at 0.05 significance level is between -1.96 and +1.96 and the z score for the test (z = 1.414) which falls within the region bounded by Z at 0.05 significance level. And also the one-tailed hypothesis P-value is 0.0787 which is greater than 0.05. Then we can conclude that we don't have enough evidence to FAIL or reject the null hypothesis, and we can say that at 5% significance level the null hypothesis is valid.

6 0
3 years ago
List the domain and range of the relation.<br> {(4-3), (8,8), (0.-3)(8.1) (4.3)}<br> The domain is
Pavel [41]

Answer:

(4,-3) Domain: 4. (8,8) Domain: 8. (0,-3) Domain: 0. (8,1) Domain: 8 (4,3) Domain: 4

4 0
2 years ago
Find the slope and the y -intercept of the line.
ANEK [815]

Answer:

So the y-intercept is 2 while the slope is -7/2.

Step-by-step explanation:

We are going to write this in slope-intercept form because it tells us the slope,m, and the y-intercept,b.

Slope-intercept form is y=mx+b.

So our goal is to solve for y.

-7x-2y=-4

Add 7x on both sides:

   -2y=7x-4

Divide both sides by -2:

   y=\frac{7x-4}{-2}

Separate the fraction:

y=\frac{7x}{-2}+\frac{-4}{-2}

Simplify:

y=\frac{-7}{2}x+2

If we compare this to y=mx+b, we see m is -7/2 and b is 2.

So the y-intercept is 2 while the slope is -7/2.

4 0
2 years ago
Read 2 more answers
Which statement is true
xenn [34]
\dfrac{3}{4} =   \dfrac{3 \times 3}{4 \times 3} = \dfrac{9}{12}

\dfrac{4}{6} =   \dfrac{4 \times 2}{6 \times 2} = \dfrac{8}{12}

\dfrac{9}{12} \ \textgreater \  \dfrac{8}{12}

\dfrac{3}{4} \ \textgreater \  \dfrac{4}{6}


7 0
3 years ago
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