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swat32
3 years ago
13

Kevin plans to put concrete on a rectangular portion of his driveway. The portion is 10 feet long and 3 inches high. The price o

f concrete is $98 per cubic yard. The total cost of the concrete Kevin needs is $72.59. Which of the following is closest to the width of the portion of the driveway on which Kevin plans to put concrete?
Mathematics
2 answers:
Elis [28]3 years ago
3 0
We are given the dimensions 10 feet length and 3 inches height. The volume of the rectangular portion is equal to $72.59 / $98 per cubic yard that is equal to 0.74 cubic yard. This is equal to 19.98 cubic feet. This means the width of the portion is equal to 8 feet. 
neonofarm [45]3 years ago
3 0

1 cubic yard = 27 cubic feet

$72.59 / $98 per cubic yard = 0.74 cubic yard

27*0.74 = 19.98 cubic feet

3 inches = 0.25 feet

10*0.25 = 2.5

19.98/2.5 = 7.992 = 8 feet wide

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Many companies use well-known celebrities as spokespersons in their TV advertisements. A study was conducted to determine whethe
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Answer:

There is enough evidence to support the claim that the proportion of brand awareness of female TV viewers and the gender of the spokesperson are not independent (P-value = 0.01537).

Step-by-step explanation:

<em>The question is incomplete: the picture attached gives the missing sample data.</em>

This is a hypothesis test for the difference between proportions.

The claim that is going to be stated in the alternative hypothesis is that the proportion of brand awareness of female TV viewers and the gender of the spokesperson are not independent. This means that the proportions differ significantly.

Then, the null and alternative hypothesis can be written as:

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

The significance level is 0.05.

The sample 1 (Male celebrity), of size n1=150 has a proportion of p1=0.273.

p_1=X_1/n_1=41/150=0.273

The sample 2 (Female celebrity), of size n2=150 has a proportion of p2=0.407.

p_2=X_2/n_2=61/150=0.407

The difference between proportions is (p1-p2)=-0.133.

p_d=p_1-p_2=0.273-0.407=-0.133

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

p=\dfrac{X_1+X_2}{n_1+n_2}=\dfrac{41+61.05}{150+150}=\dfrac{102}{300}=0.34

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{0.34*0.66}{150}+\dfrac{0.34*0.66}{150}}\\\\\\s_{p1-p2}=\sqrt{0.001496+0.001496}=\sqrt{0.002992}=0.055

Then, we can calculate the z-statistic as:

z=\dfrac{p_d-(\pi_1-\pi_2)}{s_{p1-p2}}=\dfrac{-0.133-0}{0.055}=\dfrac{-0.133}{0.055}=-2.44

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

As the P-value (0.01537) 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 proportion of brand awareness of female TV viewers and the gender of the spokesperson are not independent (the proportions differ).

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2 years ago
Brainliest need help
erastova [34]

Answer:

p(71 <  \times  < 85) \\  = p( \frac{71 - 78}{4}  < z <  \frac{85 - 78}{4} ) \\  = p( - 1.75 < z < 1.75) \\  =1 -  (\phi(1.75)) \\  = 0.46  \times 100\%\\  = 46\%

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3 years ago
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Simplify. (5x^3y^2+x^2-6x^2y^3) - (3x^2y^3-4y^3+7x^2)
Zanzabum

Answer:

Step-by-step explanation:

The initial expression is:

(5x^{3}y^{2}+x^{2}-6x^{2}y^{3})-(3x^{2}y^{3}-4y^{3}+7x^{2})

Using BEMDAS (Brackets - Exponents - Multiplication - Division - Addition -Subtraction), we first start with brackets:

5x^{3}y^{2}+x^{2}-6x^{2}y^{3}-3x^{2}y^{3}+4y^{3}-7x^{2}

Remember that if there is a negative sign, it will change the signs of the terms within the brackets.

Then, collecting like terms:

5x^{3}y^{2}-9x^{2}y^{3}+4y^{3}-6x^{2}

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3 years ago
Solve for x 0.5(5-7x)=8-(4x+6)
LekaFEV [45]
0.5(5 - 7x) = 8 - (4x + 6)
2.5 - 3.5x = 8 - 4x - 6
2.5 - 3.5x = 2 - 4x
-3.5x + 4x = 2 - 2.5
0.5x = - 0.5
x = - 0.5/0.5
x = -1 <==


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3 years ago
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