A storage chest is shown. What is the volume in cubic feet?

Mrs. Parson baked 30 cookies. 5 sixths of the cookies were oatmeal. How many oatmeal cookies did Mrs. Parson bake?

vekshin1

She cooked 25 cookies because 5/6 =25/30 because you multiply each number by 5 and it becomes 25/30. Hope this helped

6 0

3 years ago

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Will you help me?

Volgvan

Answer:

The length side of the original square banner was 9 ft

Step-by-step explanation:

Let

x-----> the length side of the original square banner

we know that

The new area of the banner is equal to

$91=(x+4)(x-2)$

Solve for x

$91=(x+4)(x-2)\\ \\91=x^{2}-2x+4x-8\\ \\x^{2}+2x-99=0$

Solve the quadratic equation by graphing

The solution is x=9 ft

see the attached figure

8 0

3 years ago

The Damon family owns a large grape vineyard in western New York along Lake Erie. The grapevines must be sprayed at the beginnin

solniwko [45]

Answer:

Step-by-step explanation:

This is a test of 2 population proportions. Let 1 and 2 be the subscript for the the vines infested using Pernod 5 and vines infested using Action. The population proportion of the vines infested using Pernod 5 and vines infested using Action would be p1 and p2 respectively.

p1 - p2 = difference in the proportion of the vines infested using Pernod 5 and vines infested using Action.

The null hypothesis is

H0 : p1 = p2

p1 - p2 = 0

The alternative hypothesis is

Ha : p1 ≠ p2

p1 - p2 ≠ 0

it is a two tailed test

Sample proportion = x/n

Where

x represents number of success(number of complaints)

n represents number of samples

For vines infested using Pernod 5,

x1 = 26

n1 = 410

p1 = 26/410 = 0.063

For vines infested using Action,

x2 = 39

n2 = 400

P2 = 39/400 = 0.098

The pooled proportion, pc is

pc = (x1 + x2)/(n1 + n2)

pc = (26 + 39)/(410 + 400) = 0.08

1 - pc = 1 - 0.08 = 0.92

z = (p1 - p2)/√pc(1 - pc)(1/n1 + 1/n2)

z = (0.063 - 0.098)/√(0.08)(0.92)(1/410 + 1/400) = - 0.035/0.019066

z = - 1.84

Since it is a two tailed test, the curve is symmetrical. We will look at the area in both tails. Since it is showing in one tail only, we would double the area

From the normal distribution table, the area below the test z score in the left tail 0.033

We would double this area to include the area in the right tail of z = 1.84 Thus

p = 0.033 × 2 = 0.066

By using the p value,

Since alpha, 0.01 < than the p value, 0.066, then we would fail to reject the null hypothesis.

Therefore, At a 1% level of significance, we cannot conclude that there is a difference in the proportion of vines infested using Pernod 5 as opposed to Action

5 0

3 years ago

A store is having a sale on jelly beans and trail mix. For 3 pounds of jelly beans and 2 pounds of trail mix, the total cost is

Nata [24]

the cost for each of jelly beans and each pound of trail mix is $2.5 and $1.75

<u>Step-by-step explanation:</u>

Given A store is having a sale on jelly beans and trail mix. For 3 pounds of jelly beans and 2 pounds of trail mix, the total cost is $11. For 5 pounds of jelly beans and 6 pounds of trail mix, the total cost is $23 . We have to find the cost for each pound of trail mix and each pound of jelly beans.

Let the cost of each pound of trail mix is $y.

and the cost of each pound of jelly beans is $x.

According to question,

For 3 pounds of jelly beans and 2 pounds of trail mix, the total cost is $11.

⇒ $3x+2y=11$ → (1)

For 5 pounds of jelly beans and 6 pounds of trail mix, the total cost is $23

⇒ $5x+6y=23$ → (2)

Solving (1) and (2), we get

3(1 equation)-(2 equation)=0

⇒ $3(3x+2y)-5x-6y=3(11)-23$

⇒ $9x+6y-5x-6y=10$

hence,

⇒ $4x=10$

⇒ $x=2.5$

Putting $x=2.5$ in $3x+2y=11$ we get ;

⇒ $3x+2y=11$

⇒ $3(2.5)+2y=11$

⇒ $2y=11-7.5=3.5$

⇒ $y=1.75$

Hence, the cost for each of jelly beans and each pound of trail mix is $2.5 and $1.75 .

6 0

3 years ago

Mario has drawn a plan of his bedroom on 1 cm square paper. His en-suite shower cubicle measure. 1m x1m, give the scale of his d

Romashka [77]

<span>Mario has drawn a plan of his bedroom on 1 cm square paper. His en-suite shower cubicle measure. 1m x1m, give the scale of his drawing
as ratio _ 1 cm__ : __1m_.
What are the actual dimension of his bed __1__ m x _1_ m</span>

4 0

3 years ago

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