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3 years ago

Please answer this correctly without making mistakes

Mathematics

1 answer:

AveGali [126]3 years ago

8 0

Answer: take 20% off

Step-by-step explanation:

the first one is correct because you would be getting 20% off of any purchase.

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The base of a triangle is 7 cm greater than the height. the area is 60 cm squared. find the height and base of the triangle.

tino4ka555 [31]

Base=x+7 Height=x Area=60. 60=((x+7)(x))/2----->60=(x^2+7x)/2

120=x^2+7x X^2+7X-120=0. QUDRATIC FORMULA: -7+/- SQRT(49+480)/2

(-7+/-23)/2... 8 and -15. -15 ISNT the answer because you cant have a negative length. X=8 Base=8+7---->15 Height=8

8 0

3 years ago

Read 2 more answers

John gets a new job and receive a 500 signing bonus after he makes 200 a day

FromTheMoon [43]

Okay, I will start talking you through it, it'll be quick but I need your response. Just leave a comment! Loves,
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5 0

3 years ago

If LW = 5x + 2 and LJ = 11x + 2 in the parallelogram below. Find LW.

WITCHER [35]

Answer:

A. 12

Step-by-step explanation:

Recall: one of the properties of a parallelogram is that the diagonals bisect each other. This means that:

LJ = 2(LW)

11x + 2 = 2(5x + 2)

11x + 2 = 10x + 4

11x + 2 - 2 = 10x + 4 - 2

11x = 10x + 2

11x - 10x = 10x + 2 - 10x

x = 2

✅LW = 5x + 2

Plug in the value of x

LW = 5(2) + 2

LW = 10 + 2 = 12

3 0

3 years ago

Help please !!:) For y =3x -2x^2 +5x^3 show how to find the value for y when x = 3

victus00 [196]

y = 3x-2x∧2+5x∧3

When we replace x with value 3 we get

y = 3 * 3 - 2 * 3∧2 + 5 * 3∧3 => y = 9-2*9+5*27 => y = 9-18+135 => y = 126

good luck!!!

7 0

4 years ago

An insurance company selected a random sample of 500 clients under 18 years of age and found that 180 of them had had an acciden

Butoxors [25]

Answer:

a) The pooled proportion is p=0.3.

b) P-value = 0.000078

c) Lower bound = 0.0556

d) Upper bound = 0.1644

Step-by-step explanation:

This is a hypothesis test for the difference between proportions.

The claim is that the accident proportions differ between the two age groups .

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=500 has a proportion of p1=0.36.

$p_1=X_1/n_1=180/500=0.36$

The sample 2, of size n2=600 has a proportion of p2=0.25.

$p_1=X_1/n_1=150/600=0.25$ .

The difference between proportions is (p1-p2)=0.11.

$p_d=p_1-p_2=0.36-0.25=0.11$

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

$p=\dfrac{X_1+X_2}{n_1+n_2}=\dfrac{180+150}{500+600}=\dfrac{330}{1100}=0.3$

The standard error for the difference between proportions can now be calculated as:

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

$s_{p1-p2}=\sqrt{\dfrac{p(1-p)}{n_1}+\dfrac{p(1-p)}{n_2}}=\sqrt{\dfrac{0.3*0.7}{500}+\dfrac{0.3*0.7}{600}}\\\\\\s_{p1-p2}=\sqrt{0.00042+0.00035}=\sqrt{0.00077}=0.0277$

Then, we can calculate the z-statistic as:

$z=\dfrac{p_d-(\pi_1-\pi_2)}{s_{p1-p2}}=\dfrac{0.11-0}{0.0277}=\dfrac{0.11}{0.0277}=3.964$

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

$P-value=2\cdot P(t>3.964)=0.000078$

As the P-value (0.000078) 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 accident proportions differ between the two age groups.

If we want to calculate the bounds of a 95% confidence interval, we start by calculating the margin of error.

For a 95% CI, the critical value for z is z=1.96.

Then, the margin of error is:

$MOE=z \cdot s_{p1-p2}=1.96\cdot 0.0277=0.0544$

Then, the lower and upper bounds of the confidence interval are:

$LL=(p_1-p_2)-z\cdot s_{p1-p2} = 0.11-0.0544=0.05561\\\\UL=(p_1-p_2)+z\cdot s_{p1-p2}= 0.11+0.0544=0.16439$

The 95% confidence interval for the population mean is (0.0556, 0.1644).

5 0

3 years ago