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Eddi Din [679]
3 years ago
14

Factorise following expressio

Mathematics
1 answer:
Harrizon [31]3 years ago
4 0
(5x^2-15x) (-2x+6) 5x (x-3) -2 (x-3) (5x-2) (x-3)
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Two identical CDs regularly cost a total of $\$28.$ What is the cost in dollars of five of these CDs?
Paha777 [63]

the answer is will be $140

7 0
3 years ago
Find the volume of soup can if the diameter is 6.5 in and the height is 9 in
Nitella [24]

Answer:

V =298.49625 in^3

Step-by-step explanation:

Volume of a cylinder is given by

V = pi * r^2 *h

We know the diameter so we can find the radius

r = d/2 =6.5/2 = 3.25

and we know the height =9

V = pi * (3.25)^2 *9

V = pi*95.0625

If we approximate by 3.14

V = 3.14*95.0625

V =298.49625 in^3

5 0
3 years ago
Read 2 more answers
A manufacturing company produces valves in various sizes and shapes. One particular valve plate is supposed to have a tensile st
ss7ja [257]

Answer:

Step-by-step explanation:

Hello!

The researcher wants to test if the valve plates manufactured have the expected tensile strength of 5 lbs/mm. So he took a sample of 42 valve plates and measured their tensile strength, obtaining a sample mean of X[bar]= 5.0611 lbs/mm and a sample standard deviation of S=0.2803 lbs/mm.

The study variable is:

X: tensile strength of a valve plate (lbs/mm)

The parameter of interest is the mean tensile strength of the valve plates, μ.

If the claim is that the valve plates of the sample have on average tensile strength of 5 lbs/mm, symbolically: μ = 5

a) The statistic hypotheses are:

H₀: μ = 5

H₁: μ ≠ 5

b) To determine the critical values and rejection region of a hypothesis test you need three to determine three factors of the hypothesis test:

1) The statistical hypothesis.

2) The significance level.

3) The statistic to use for the analysis.

The statistic hypothesis determines the number of critical values and the direction of the rejection region, in this case, the test is two-tailed you will have two critical values and the rejection region will be divided into two.

With the statistic, you will determine the distribution under which you will work and the significance level determines the probability of rejecting the null hypothesis.

To study the population mean you need that the variable of interest has at least a normal distribution, there is no information about the distribution of the study variable but the sample size is large enough n≥30, so you can apply the central limit theorem to approximate the distribution of the sample mean to normal: X[bar]≈N(μ;σ²/n)

Thanks to this approximation it is valid to use an approximation of the standard normal distribution for the test:

Z= \frac{X[bar]-Mu}{\frac{Sigma}{\sqrt{n} } }≈N(0;1)

The critical values are:

Z_{\alpha /2}= Z_{0.05}= -1.648

Z_{1-\alpha /2}= Z_{0.95}= 1.648

You will reject the null hypothesis if Z_{H_0}≤-1.648 or if Z_{H_0}≥1.648

You will not reject the null hypothesis if -1.648<Z_{H_0}<1.648

c)

Z_{H_0}= \frac{X[bar]-Mu}{\frac{S}{\sqrt{n} } }=  \frac{5.0611-5}{\frac{0.2803}{\sqrt{42} } }= 1.41

d) The value of the statistic is between the two critical values so the decision is to not reject the null hypothesis. Then using a significance level of 10% there is no significant evidence to reject the null hypothesis so the valve plates have on average tensile strength of 5 lbs/mm.

e) The p-value is defined as the probability corresponding to the calculated statistic if possible under the null hypothesis (i.e. the probability of obtaining a value as extreme as the value of the statistic under the null hypothesis). If the test is two-tailed, so is the p-value, you can calculate it as:

P(Z≤-1.41) + P(Z≥1.41)= P(Z≤-1.41) + (1 - P(Z≤1.41))= 0.079 + ( 1 - 0.921)= 0.158

p-value: 0.158

I hope it helps!

5 0
3 years ago
Which number line represents the solutions to |–2x| = 4?
Margarita [4]

Answer:

I want to say its b

6 0
3 years ago
Read 2 more answers
Harry's math test scores are listed below. 95, 90, 85, 40, 100, 100, 85, 90 Which measures of central tendency most closely desc
Akimi4 [234]

Answer:

85.6%

Step-by-step explanation:

To get two overall performance of Harry, we need to calculate his average score.

Average is also known mean score.

Mean = sum of the score/Total math subjects offered

Mean = 95+ 90+85+40+100+100+85+90/8

Mean = 685/8

Mean = 85.6

Hence her overall performance is 85.6%

The measure of central tendency used is 85.6%

3 0
3 years ago
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